%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWC356+1 : TPTP v9.2.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:19:19 PM UTC 2026
% Result : Theorem 202.78s 132.88s
% Output : CNFRefutation 215.48s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named i_0_502)
% Comments :
%------------------------------------------------------------------------------
fof(ax94,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( gt(X1,X2)
=> ~ gt(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax94) ).
fof(ax33,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( lt(X1,X2)
=> ~ lt(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax33) ).
fof(co1,conjecture,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ~ neq(X2,nil)
| segmentP(X2,X1)
| ( ! [X5] :
( ssItem(X5)
=> ( cons(X5,nil) != X3
| ~ memberP(X4,X5)
| ? [X6] :
( ssItem(X6)
& X5 != X6
& memberP(X4,X6)
& leq(X6,X5) ) ) )
& ( nil != X4
| nil != X3 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(ax90,axiom,
! [X1] :
( ssItem(X1)
=> ~ lt(X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax90) ).
fof(ax38,axiom,
! [X1] :
( ssItem(X1)
=> ~ memberP(nil,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax38) ).
fof(ax8,axiom,
! [X1] :
( ssList(X1)
=> ( cyclefreeP(X1)
<=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( app(app(X4,cons(X2,X5)),cons(X3,X6)) = X1
=> ~ ( leq(X2,X3)
& leq(X3,X2) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax8) ).
fof(ax10,axiom,
! [X1] :
( ssList(X1)
=> ( strictorderP(X1)
<=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( app(app(X4,cons(X2,X5)),cons(X3,X6)) = X1
=> ( lt(X2,X3)
| lt(X3,X2) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax10) ).
fof(ax9,axiom,
! [X1] :
( ssList(X1)
=> ( totalorderP(X1)
<=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( app(app(X4,cons(X2,X5)),cons(X3,X6)) = X1
=> ( leq(X2,X3)
| leq(X3,X2) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax9) ).
fof(ax12,axiom,
! [X1] :
( ssList(X1)
=> ( strictorderedP(X1)
<=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( app(app(X4,cons(X2,X5)),cons(X3,X6)) = X1
=> lt(X2,X3) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax12) ).
fof(ax11,axiom,
! [X1] :
( ssList(X1)
=> ( totalorderedP(X1)
<=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( app(app(X4,cons(X2,X5)),cons(X3,X6)) = X1
=> leq(X2,X3) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax11) ).
fof(ax13,axiom,
! [X1] :
( ssList(X1)
=> ( duplicatefreeP(X1)
<=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( app(app(X4,cons(X2,X5)),cons(X3,X6)) = X1
=> X2 != X3 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax13) ).
fof(ax14,axiom,
! [X1] :
( ssList(X1)
=> ( equalelemsP(X1)
<=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(X4,cons(X2,cons(X3,X5))) = X1
=> X2 = X3 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax14) ).
fof(ax7,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( segmentP(X1,X2)
<=> ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& app(app(X3,X2),X4) = X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax7) ).
fof(ax3,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> ( memberP(X1,X2)
<=> ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& app(X3,cons(X2,X4)) = X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax3) ).
fof(ax44,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( frontsegP(cons(X1,X3),cons(X2,X4))
<=> ( X1 = X2
& frontsegP(X3,X4) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax44) ).
fof(ax56,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( segmentP(X1,X2)
=> segmentP(app(app(X3,X1),X4),X2) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax56) ).
fof(ax36,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( memberP(app(X2,X3),X1)
<=> ( memberP(X2,X1)
| memberP(X3,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax36) ).
fof(ax37,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ( memberP(cons(X2,X3),X1)
<=> ( X1 = X2
| memberP(X3,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax37) ).
fof(ax82,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> app(app(X1,X2),X3) = app(X1,app(X2,X3)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax82) ).
fof(ax27,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssItem(X3)
=> cons(X3,app(X2,X1)) = app(cons(X3,X2),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax27) ).
fof(ax70,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ( strictorderedP(cons(X1,X2))
<=> ( nil = X2
| ( nil != X2
& strictorderedP(X2)
& lt(X1,hd(X2)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax70) ).
fof(ax67,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ( totalorderedP(cons(X1,X2))
<=> ( nil = X2
| ( nil != X2
& totalorderedP(X2)
& leq(X1,hd(X2)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax67) ).
fof(ax50,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( rearsegP(X1,X2)
=> rearsegP(app(X3,X1),X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax50) ).
fof(ax43,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( frontsegP(X1,X2)
=> frontsegP(app(X1,X3),X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax43) ).
fof(ax95,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ( ( gt(X1,X2)
& gt(X2,X3) )
=> gt(X1,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax95) ).
fof(ax88,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ( ( geq(X1,X2)
& geq(X2,X3) )
=> geq(X1,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax88) ).
fof(ax34,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ( ( lt(X1,X2)
& lt(X2,X3) )
=> lt(X1,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax34) ).
fof(ax91,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ( ( leq(X1,X2)
& lt(X2,X3) )
=> lt(X1,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax91) ).
fof(ax30,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ( ( leq(X1,X2)
& leq(X2,X3) )
=> leq(X1,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax30) ).
fof(ax53,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( segmentP(X1,X2)
& segmentP(X2,X3) )
=> segmentP(X1,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax53) ).
fof(ax47,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( rearsegP(X1,X2)
& rearsegP(X2,X3) )
=> rearsegP(X1,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax47) ).
fof(ax40,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( frontsegP(X1,X2)
& frontsegP(X2,X3) )
=> frontsegP(X1,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax40) ).
fof(ax6,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( rearsegP(X1,X2)
<=> ? [X3] :
( ssList(X3)
& app(X3,X2) = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax6) ).
fof(ax5,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( frontsegP(X1,X2)
<=> ? [X3] :
( ssList(X3)
& app(X2,X3) = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax5) ).
fof(ax19,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssItem(X3)
=> ! [X4] :
( ssItem(X4)
=> ( cons(X3,X1) = cons(X4,X2)
=> ( X3 = X4
& X2 = X1 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax19) ).
fof(ax79,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( app(X3,X2) = app(X1,X2)
=> X3 = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax79) ).
fof(ax80,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( app(X2,X3) = app(X2,X1)
=> X3 = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax80) ).
fof(ax86,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( nil != X1
=> tl(app(X1,X2)) = app(tl(X1),X2) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax86) ).
fof(ax81,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> cons(X2,X1) = app(cons(X2,nil),X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax81) ).
fof(ax54,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( segmentP(X1,X2)
& segmentP(X2,X1) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax54) ).
fof(ax48,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( rearsegP(X1,X2)
& rearsegP(X2,X1) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax48) ).
fof(ax41,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( frontsegP(X1,X2)
& frontsegP(X2,X1) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax41) ).
fof(ax87,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( ( geq(X1,X2)
& geq(X2,X1) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax87) ).
fof(ax29,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( ( leq(X1,X2)
& leq(X2,X1) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax29) ).
fof(ax93,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( lt(X1,X2)
<=> ( X1 != X2
& leq(X1,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax93) ).
fof(ax92,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( leq(X1,X2)
=> ( X1 = X2
| lt(X1,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax92) ).
fof(ax35,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( gt(X1,X2)
<=> lt(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax35) ).
fof(ax32,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( geq(X1,X2)
<=> leq(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax32) ).
fof(ax85,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( nil != X1
=> hd(app(X1,X2)) = hd(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax85) ).
fof(ax77,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( nil != X2
& nil != X1
& hd(X2) = hd(X1)
& tl(X2) = tl(X1) )
=> X2 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax77) ).
fof(ax25,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> tl(cons(X2,X1)) = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax25) ).
fof(ax23,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> hd(cons(X2,X1)) = X2 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax23) ).
fof(ax26,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ssList(app(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax26) ).
fof(ax16,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> ssList(cons(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax16) ).
fof(ax15,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( neq(X1,X2)
<=> X1 != X2 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax15) ).
fof(ax1,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( neq(X1,X2)
<=> X1 != X2 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax1) ).
fof(ax4,axiom,
! [X1] :
( ssList(X1)
=> ( singletonP(X1)
<=> ? [X2] :
( ssItem(X2)
& cons(X2,nil) = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax4) ).
fof(ax83,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( nil = app(X1,X2)
<=> ( nil = X2
& nil = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax83) ).
fof(ax18,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> cons(X2,X1) != X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax18) ).
fof(ax21,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> nil != cons(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax21) ).
fof(ax20,axiom,
! [X1] :
( ssList(X1)
=> ( nil = X1
| ? [X2] :
( ssList(X2)
& ? [X3] :
( ssItem(X3)
& cons(X3,X2) = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax20) ).
fof(ax78,axiom,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> cons(hd(X1),tl(X1)) = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax78) ).
fof(ax73,axiom,
! [X1] :
( ssItem(X1)
=> equalelemsP(cons(X1,nil)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax73) ).
fof(ax71,axiom,
! [X1] :
( ssItem(X1)
=> duplicatefreeP(cons(X1,nil)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax71) ).
fof(ax68,axiom,
! [X1] :
( ssItem(X1)
=> strictorderedP(cons(X1,nil)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax68) ).
fof(ax65,axiom,
! [X1] :
( ssItem(X1)
=> totalorderedP(cons(X1,nil)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax65) ).
fof(ax63,axiom,
! [X1] :
( ssItem(X1)
=> strictorderP(cons(X1,nil)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax63) ).
fof(ax61,axiom,
! [X1] :
( ssItem(X1)
=> totalorderP(cons(X1,nil)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax61) ).
fof(ax59,axiom,
! [X1] :
( ssItem(X1)
=> cyclefreeP(cons(X1,nil)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax59) ).
fof(ax58,axiom,
! [X1] :
( ssList(X1)
=> ( segmentP(nil,X1)
<=> nil = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax58) ).
fof(ax52,axiom,
! [X1] :
( ssList(X1)
=> ( rearsegP(nil,X1)
<=> nil = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax52) ).
fof(ax46,axiom,
! [X1] :
( ssList(X1)
=> ( frontsegP(nil,X1)
<=> nil = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax46) ).
fof(ax89,axiom,
! [X1] :
( ssItem(X1)
=> geq(X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax89) ).
fof(ax31,axiom,
! [X1] :
( ssItem(X1)
=> leq(X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax31) ).
fof(ax55,axiom,
! [X1] :
( ssList(X1)
=> segmentP(X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax55) ).
fof(ax49,axiom,
! [X1] :
( ssList(X1)
=> rearsegP(X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax49) ).
fof(ax42,axiom,
! [X1] :
( ssList(X1)
=> frontsegP(X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax42) ).
fof(ax28,axiom,
! [X1] :
( ssList(X1)
=> app(nil,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax28) ).
fof(ax84,axiom,
! [X1] :
( ssList(X1)
=> app(X1,nil) = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax84) ).
fof(ax57,axiom,
! [X1] :
( ssList(X1)
=> segmentP(X1,nil) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax57) ).
fof(ax51,axiom,
! [X1] :
( ssList(X1)
=> rearsegP(X1,nil) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax51) ).
fof(ax45,axiom,
! [X1] :
( ssList(X1)
=> frontsegP(X1,nil) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax45) ).
fof(ax76,axiom,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> ? [X2] :
( ssList(X2)
& tl(X1) = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax76) ).
fof(ax24,axiom,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> ssList(tl(X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax24) ).
fof(ax75,axiom,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> ? [X2] :
( ssItem(X2)
& hd(X1) = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax75) ).
fof(ax22,axiom,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> ssItem(hd(X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax22) ).
fof(ax39,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax39) ).
fof(ax2,axiom,
? [X1] :
( ssItem(X1)
& ? [X2] :
( ssItem(X2)
& X1 != X2 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax2) ).
fof(ax74,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax74) ).
fof(ax72,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax72) ).
fof(ax69,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax69) ).
fof(ax66,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax66) ).
fof(ax64,axiom,
strictorderP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax64) ).
fof(ax62,axiom,
totalorderP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax62) ).
fof(ax60,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax60) ).
fof(ax17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax17) ).
fof(i_0_96,plain,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( gt(X1,X2)
=> ~ gt(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[ax94]) ).
fof(i_0_97,plain,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( lt(X1,X2)
=> ~ lt(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[ax33]) ).
fof(i_0_98,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ~ neq(X2,nil)
| segmentP(X2,X1)
| ( ! [X5] :
( ssItem(X5)
=> ( cons(X5,nil) != X3
| ~ memberP(X4,X5)
| ? [X6] :
( ssItem(X6)
& X5 != X6
& memberP(X4,X6)
& leq(X6,X5) ) ) )
& ( nil != X4
| nil != X3 ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).
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,
! [X243,X244,X245,X246,X247,X248] :
( ( ~ cyclefreeP(X243)
| ~ ssItem(X244)
| ~ ssItem(X245)
| ~ ssList(X246)
| ~ ssList(X247)
| ~ ssList(X248)
| app(app(X246,cons(X244,X247)),cons(X245,X248)) != X243
| ~ leq(X244,X245)
| ~ leq(X245,X244)
| ~ ssList(X243) )
& ( ssItem(esk10_1(X243))
| cyclefreeP(X243)
| ~ ssList(X243) )
& ( ssItem(esk11_1(X243))
| cyclefreeP(X243)
| ~ ssList(X243) )
& ( ssList(esk12_1(X243))
| cyclefreeP(X243)
| ~ ssList(X243) )
& ( ssList(esk13_1(X243))
| cyclefreeP(X243)
| ~ ssList(X243) )
& ( ssList(esk14_1(X243))
| cyclefreeP(X243)
| ~ ssList(X243) )
& ( app(app(esk12_1(X243),cons(esk10_1(X243),esk13_1(X243))),cons(esk11_1(X243),esk14_1(X243))) = X243
| cyclefreeP(X243)
| ~ ssList(X243) )
& ( leq(esk10_1(X243),esk11_1(X243))
| cyclefreeP(X243)
| ~ ssList(X243) )
& ( leq(esk11_1(X243),esk10_1(X243))
| cyclefreeP(X243)
| ~ ssList(X243) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax8])])])])]) ).
fof(i_0_102,plain,
! [X265,X266,X267,X268,X269,X270] :
( ( ~ strictorderP(X265)
| ~ ssItem(X266)
| ~ ssItem(X267)
| ~ ssList(X268)
| ~ ssList(X269)
| ~ ssList(X270)
| app(app(X268,cons(X266,X269)),cons(X267,X270)) != X265
| lt(X266,X267)
| lt(X267,X266)
| ~ ssList(X265) )
& ( ssItem(esk20_1(X265))
| strictorderP(X265)
| ~ ssList(X265) )
& ( ssItem(esk21_1(X265))
| strictorderP(X265)
| ~ ssList(X265) )
& ( ssList(esk22_1(X265))
| strictorderP(X265)
| ~ ssList(X265) )
& ( ssList(esk23_1(X265))
| strictorderP(X265)
| ~ ssList(X265) )
& ( ssList(esk24_1(X265))
| strictorderP(X265)
| ~ ssList(X265) )
& ( app(app(esk22_1(X265),cons(esk20_1(X265),esk23_1(X265))),cons(esk21_1(X265),esk24_1(X265))) = X265
| strictorderP(X265)
| ~ ssList(X265) )
& ( ~ lt(esk20_1(X265),esk21_1(X265))
| strictorderP(X265)
| ~ ssList(X265) )
& ( ~ lt(esk21_1(X265),esk20_1(X265))
| strictorderP(X265)
| ~ ssList(X265) ) ),
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,
! [X254,X255,X256,X257,X258,X259] :
( ( ~ totalorderP(X254)
| ~ ssItem(X255)
| ~ ssItem(X256)
| ~ ssList(X257)
| ~ ssList(X258)
| ~ ssList(X259)
| app(app(X257,cons(X255,X258)),cons(X256,X259)) != X254
| leq(X255,X256)
| leq(X256,X255)
| ~ ssList(X254) )
& ( ssItem(esk15_1(X254))
| totalorderP(X254)
| ~ ssList(X254) )
& ( ssItem(esk16_1(X254))
| totalorderP(X254)
| ~ ssList(X254) )
& ( ssList(esk17_1(X254))
| totalorderP(X254)
| ~ ssList(X254) )
& ( ssList(esk18_1(X254))
| totalorderP(X254)
| ~ ssList(X254) )
& ( ssList(esk19_1(X254))
| totalorderP(X254)
| ~ ssList(X254) )
& ( app(app(esk17_1(X254),cons(esk15_1(X254),esk18_1(X254))),cons(esk16_1(X254),esk19_1(X254))) = X254
| totalorderP(X254)
| ~ ssList(X254) )
& ( ~ leq(esk15_1(X254),esk16_1(X254))
| totalorderP(X254)
| ~ ssList(X254) )
& ( ~ leq(esk16_1(X254),esk15_1(X254))
| totalorderP(X254)
| ~ ssList(X254) ) ),
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,
! [X287,X288,X289,X290,X291,X292] :
( ( ~ strictorderedP(X287)
| ~ ssItem(X288)
| ~ ssItem(X289)
| ~ ssList(X290)
| ~ ssList(X291)
| ~ ssList(X292)
| app(app(X290,cons(X288,X291)),cons(X289,X292)) != X287
| lt(X288,X289)
| ~ ssList(X287) )
& ( ssItem(esk30_1(X287))
| strictorderedP(X287)
| ~ ssList(X287) )
& ( ssItem(esk31_1(X287))
| strictorderedP(X287)
| ~ ssList(X287) )
& ( ssList(esk32_1(X287))
| strictorderedP(X287)
| ~ ssList(X287) )
& ( ssList(esk33_1(X287))
| strictorderedP(X287)
| ~ ssList(X287) )
& ( ssList(esk34_1(X287))
| strictorderedP(X287)
| ~ ssList(X287) )
& ( app(app(esk32_1(X287),cons(esk30_1(X287),esk33_1(X287))),cons(esk31_1(X287),esk34_1(X287))) = X287
| strictorderedP(X287)
| ~ ssList(X287) )
& ( ~ lt(esk30_1(X287),esk31_1(X287))
| strictorderedP(X287)
| ~ ssList(X287) ) ),
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,
! [X276,X277,X278,X279,X280,X281] :
( ( ~ totalorderedP(X276)
| ~ ssItem(X277)
| ~ ssItem(X278)
| ~ ssList(X279)
| ~ ssList(X280)
| ~ ssList(X281)
| app(app(X279,cons(X277,X280)),cons(X278,X281)) != X276
| leq(X277,X278)
| ~ ssList(X276) )
& ( ssItem(esk25_1(X276))
| totalorderedP(X276)
| ~ ssList(X276) )
& ( ssItem(esk26_1(X276))
| totalorderedP(X276)
| ~ ssList(X276) )
& ( ssList(esk27_1(X276))
| totalorderedP(X276)
| ~ ssList(X276) )
& ( ssList(esk28_1(X276))
| totalorderedP(X276)
| ~ ssList(X276) )
& ( ssList(esk29_1(X276))
| totalorderedP(X276)
| ~ ssList(X276) )
& ( app(app(esk27_1(X276),cons(esk25_1(X276),esk28_1(X276))),cons(esk26_1(X276),esk29_1(X276))) = X276
| totalorderedP(X276)
| ~ ssList(X276) )
& ( ~ leq(esk25_1(X276),esk26_1(X276))
| totalorderedP(X276)
| ~ ssList(X276) ) ),
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,
! [X298,X299,X300,X301,X302,X303] :
( ( ~ duplicatefreeP(X298)
| ~ ssItem(X299)
| ~ ssItem(X300)
| ~ ssList(X301)
| ~ ssList(X302)
| ~ ssList(X303)
| app(app(X301,cons(X299,X302)),cons(X300,X303)) != X298
| X299 != X300
| ~ ssList(X298) )
& ( ssItem(esk35_1(X298))
| duplicatefreeP(X298)
| ~ ssList(X298) )
& ( ssItem(esk36_1(X298))
| duplicatefreeP(X298)
| ~ ssList(X298) )
& ( ssList(esk37_1(X298))
| duplicatefreeP(X298)
| ~ ssList(X298) )
& ( ssList(esk38_1(X298))
| duplicatefreeP(X298)
| ~ ssList(X298) )
& ( ssList(esk39_1(X298))
| duplicatefreeP(X298)
| ~ ssList(X298) )
& ( app(app(esk37_1(X298),cons(esk35_1(X298),esk38_1(X298))),cons(esk36_1(X298),esk39_1(X298))) = X298
| duplicatefreeP(X298)
| ~ ssList(X298) )
& ( esk35_1(X298) = esk36_1(X298)
| duplicatefreeP(X298)
| ~ ssList(X298) ) ),
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,
! [X309,X310,X311,X312,X313] :
( ( ~ equalelemsP(X309)
| ~ ssItem(X310)
| ~ ssItem(X311)
| ~ ssList(X312)
| ~ ssList(X313)
| app(X312,cons(X310,cons(X311,X313))) != X309
| X310 = X311
| ~ ssList(X309) )
& ( ssItem(esk40_1(X309))
| equalelemsP(X309)
| ~ ssList(X309) )
& ( ssItem(esk41_1(X309))
| equalelemsP(X309)
| ~ ssList(X309) )
& ( ssList(esk42_1(X309))
| equalelemsP(X309)
| ~ ssList(X309) )
& ( ssList(esk43_1(X309))
| equalelemsP(X309)
| ~ ssList(X309) )
& ( app(esk42_1(X309),cons(esk40_1(X309),cons(esk41_1(X309),esk43_1(X309)))) = X309
| equalelemsP(X309)
| ~ ssList(X309) )
& ( esk40_1(X309) != esk41_1(X309)
| equalelemsP(X309)
| ~ ssList(X309) ) ),
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,
! [X237,X238,X241,X242] :
( ( ssList(esk8_2(X237,X238))
| ~ segmentP(X237,X238)
| ~ ssList(X238)
| ~ ssList(X237) )
& ( ssList(esk9_2(X237,X238))
| ~ segmentP(X237,X238)
| ~ ssList(X238)
| ~ ssList(X237) )
& ( app(app(esk8_2(X237,X238),X238),esk9_2(X237,X238)) = X237
| ~ segmentP(X237,X238)
| ~ ssList(X238)
| ~ ssList(X237) )
& ( ~ ssList(X241)
| ~ ssList(X242)
| app(app(X241,X238),X242) != X237
| segmentP(X237,X238)
| ~ ssList(X238)
| ~ ssList(X237) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax7])])])])]) ).
fof(i_0_109,plain,
! [X220,X221,X224,X225] :
( ( ssList(esk3_2(X220,X221))
| ~ memberP(X220,X221)
| ~ ssItem(X221)
| ~ ssList(X220) )
& ( ssList(esk4_2(X220,X221))
| ~ memberP(X220,X221)
| ~ ssItem(X221)
| ~ ssList(X220) )
& ( app(esk3_2(X220,X221),cons(X221,esk4_2(X220,X221))) = X220
| ~ memberP(X220,X221)
| ~ ssItem(X221)
| ~ ssList(X220) )
& ( ~ ssList(X224)
| ~ ssList(X225)
| app(X224,cons(X221,X225)) != X220
| memberP(X220,X221)
| ~ ssItem(X221)
| ~ ssList(X220) ) ),
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,
! [X376,X377,X378,X379] :
( ( X376 = X377
| ~ frontsegP(cons(X376,X378),cons(X377,X379))
| ~ ssList(X379)
| ~ ssList(X378)
| ~ ssItem(X377)
| ~ ssItem(X376) )
& ( frontsegP(X378,X379)
| ~ frontsegP(cons(X376,X378),cons(X377,X379))
| ~ ssList(X379)
| ~ ssList(X378)
| ~ ssItem(X377)
| ~ ssItem(X376) )
& ( X376 != X377
| ~ frontsegP(X378,X379)
| frontsegP(cons(X376,X378),cons(X377,X379))
| ~ ssList(X379)
| ~ ssList(X378)
| ~ ssItem(X377)
| ~ ssItem(X376) ) ),
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,
! [X399,X400,X401,X402] :
( ~ ssList(X399)
| ~ ssList(X400)
| ~ ssList(X401)
| ~ ssList(X402)
| ~ segmentP(X399,X400)
| segmentP(app(app(X401,X399),X402),X400) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax56])])]) ).
fof(i_0_112,plain,
! [X360,X361,X362] :
( ( ~ memberP(app(X361,X362),X360)
| memberP(X361,X360)
| memberP(X362,X360)
| ~ ssList(X362)
| ~ ssList(X361)
| ~ ssItem(X360) )
& ( ~ memberP(X361,X360)
| memberP(app(X361,X362),X360)
| ~ ssList(X362)
| ~ ssList(X361)
| ~ ssItem(X360) )
& ( ~ memberP(X362,X360)
| memberP(app(X361,X362),X360)
| ~ ssList(X362)
| ~ ssList(X361)
| ~ ssItem(X360) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax36])])])]) ).
fof(i_0_113,plain,
! [X363,X364,X365] :
( ( ~ memberP(cons(X364,X365),X363)
| X363 = X364
| memberP(X365,X363)
| ~ ssList(X365)
| ~ ssItem(X364)
| ~ ssItem(X363) )
& ( X363 != X364
| memberP(cons(X364,X365),X363)
| ~ ssList(X365)
| ~ ssItem(X364)
| ~ ssItem(X363) )
& ( ~ memberP(X365,X363)
| memberP(cons(X364,X365),X363)
| ~ ssList(X365)
| ~ ssItem(X364)
| ~ ssItem(X363) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax37])])])]) ).
fof(i_0_114,plain,
! [X431,X432,X433] :
( ~ ssList(X431)
| ~ ssList(X432)
| ~ ssList(X433)
| app(app(X431,X432),X433) = app(X431,app(X432,X433)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax82])])]) ).
fof(i_0_115,plain,
! [X341,X342,X343] :
( ~ ssList(X341)
| ~ ssList(X342)
| ~ ssItem(X343)
| cons(X343,app(X342,X341)) = app(cons(X343,X342),X341) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax27])])]) ).
fof(i_0_116,plain,
! [X412,X413] :
( ( nil != X413
| nil = X413
| ~ strictorderedP(cons(X412,X413))
| ~ ssList(X413)
| ~ ssItem(X412) )
& ( strictorderedP(X413)
| nil = X413
| ~ strictorderedP(cons(X412,X413))
| ~ ssList(X413)
| ~ ssItem(X412) )
& ( lt(X412,hd(X413))
| nil = X413
| ~ strictorderedP(cons(X412,X413))
| ~ ssList(X413)
| ~ ssItem(X412) )
& ( nil != X413
| strictorderedP(cons(X412,X413))
| ~ ssList(X413)
| ~ ssItem(X412) )
& ( nil = X413
| ~ strictorderedP(X413)
| ~ lt(X412,hd(X413))
| strictorderedP(cons(X412,X413))
| ~ ssList(X413)
| ~ ssItem(X412) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax70])])])]) ).
fof(i_0_117,plain,
! [X409,X410] :
( ( nil != X410
| nil = X410
| ~ totalorderedP(cons(X409,X410))
| ~ ssList(X410)
| ~ ssItem(X409) )
& ( totalorderedP(X410)
| nil = X410
| ~ totalorderedP(cons(X409,X410))
| ~ ssList(X410)
| ~ ssItem(X409) )
& ( leq(X409,hd(X410))
| nil = X410
| ~ totalorderedP(cons(X409,X410))
| ~ ssList(X410)
| ~ ssItem(X409) )
& ( nil != X410
| totalorderedP(cons(X409,X410))
| ~ ssList(X410)
| ~ ssItem(X409) )
& ( nil = X410
| ~ totalorderedP(X410)
| ~ leq(X409,hd(X410))
| totalorderedP(cons(X409,X410))
| ~ ssList(X410)
| ~ ssItem(X409) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax67])])])]) ).
fof(i_0_118,plain,
! [X388,X389,X390] :
( ~ ssList(X388)
| ~ ssList(X389)
| ~ ssList(X390)
| ~ rearsegP(X388,X389)
| rearsegP(app(X390,X388),X389) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax50])])]) ).
fof(i_0_119,plain,
! [X373,X374,X375] :
( ~ ssList(X373)
| ~ ssList(X374)
| ~ ssList(X375)
| ~ frontsegP(X373,X374)
| frontsegP(app(X373,X375),X374) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax43])])]) ).
fof(i_0_120,plain,
! [X457,X458,X459] :
( ~ ssItem(X457)
| ~ ssItem(X458)
| ~ ssItem(X459)
| ~ gt(X457,X458)
| ~ gt(X458,X459)
| gt(X457,X459) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax95])])]) ).
fof(i_0_121,plain,
! [X443,X444,X445] :
( ~ ssItem(X443)
| ~ ssItem(X444)
| ~ ssItem(X445)
| ~ geq(X443,X444)
| ~ geq(X444,X445)
| geq(X443,X445) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax88])])]) ).
fof(i_0_122,plain,
! [X355,X356,X357] :
( ~ ssItem(X355)
| ~ ssItem(X356)
| ~ ssItem(X357)
| ~ lt(X355,X356)
| ~ lt(X356,X357)
| lt(X355,X357) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax34])])]) ).
fof(i_0_123,plain,
! [X448,X449,X450] :
( ~ ssItem(X448)
| ~ ssItem(X449)
| ~ ssItem(X450)
| ~ leq(X448,X449)
| ~ lt(X449,X450)
| lt(X448,X450) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax91])])]) ).
fof(i_0_124,plain,
! [X347,X348,X349] :
( ~ ssItem(X347)
| ~ ssItem(X348)
| ~ ssItem(X349)
| ~ leq(X347,X348)
| ~ leq(X348,X349)
| leq(X347,X349) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax30])])]) ).
fof(i_0_125,plain,
! [X393,X394,X395] :
( ~ ssList(X393)
| ~ ssList(X394)
| ~ ssList(X395)
| ~ segmentP(X393,X394)
| ~ segmentP(X394,X395)
| segmentP(X393,X395) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax53])])]) ).
fof(i_0_126,plain,
! [X382,X383,X384] :
( ~ ssList(X382)
| ~ ssList(X383)
| ~ ssList(X384)
| ~ rearsegP(X382,X383)
| ~ rearsegP(X383,X384)
| rearsegP(X382,X384) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax47])])]) ).
fof(i_0_127,plain,
! [X367,X368,X369] :
( ~ ssList(X367)
| ~ ssList(X368)
| ~ ssList(X369)
| ~ frontsegP(X367,X368)
| ~ frontsegP(X368,X369)
| frontsegP(X367,X369) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax40])])]) ).
fof(i_0_128,plain,
! [X233,X234,X236] :
( ( ssList(esk7_2(X233,X234))
| ~ rearsegP(X233,X234)
| ~ ssList(X234)
| ~ ssList(X233) )
& ( app(esk7_2(X233,X234),X234) = X233
| ~ rearsegP(X233,X234)
| ~ ssList(X234)
| ~ ssList(X233) )
& ( ~ ssList(X236)
| app(X236,X234) != X233
| rearsegP(X233,X234)
| ~ ssList(X234)
| ~ ssList(X233) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax6])])])])]) ).
fof(i_0_129,plain,
! [X229,X230,X232] :
( ( ssList(esk6_2(X229,X230))
| ~ frontsegP(X229,X230)
| ~ ssList(X230)
| ~ ssList(X229) )
& ( app(X230,esk6_2(X229,X230)) = X229
| ~ frontsegP(X229,X230)
| ~ ssList(X230)
| ~ ssList(X229) )
& ( ~ ssList(X232)
| app(X230,X232) != X229
| frontsegP(X229,X230)
| ~ ssList(X230)
| ~ ssList(X229) ) ),
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_130,plain,
! [X324,X325,X326,X327] :
( ( X326 = X327
| cons(X326,X324) != cons(X327,X325)
| ~ ssItem(X327)
| ~ ssItem(X326)
| ~ ssList(X325)
| ~ ssList(X324) )
& ( X325 = X324
| cons(X326,X324) != cons(X327,X325)
| ~ ssItem(X327)
| ~ ssItem(X326)
| ~ ssList(X325)
| ~ ssList(X324) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax19])])])]) ).
fof(i_0_131,plain,
! [X423,X424,X425] :
( ~ ssList(X423)
| ~ ssList(X424)
| ~ ssList(X425)
| app(X425,X424) != app(X423,X424)
| X425 = X423 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax79])])]) ).
fof(i_0_132,plain,
! [X426,X427,X428] :
( ~ ssList(X426)
| ~ ssList(X427)
| ~ ssList(X428)
| app(X427,X428) != app(X427,X426)
| X428 = X426 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax80])])]) ).
fof(i_0_133,plain,
! [X439,X440] :
( ~ ssList(X439)
| ~ ssList(X440)
| nil = X439
| tl(app(X439,X440)) = app(tl(X439),X440) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax86])])]) ).
fof(i_0_134,plain,
! [X429,X430] :
( ~ ssList(X429)
| ~ ssItem(X430)
| cons(X430,X429) = app(cons(X430,nil),X429) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax81])])]) ).
fof(i_0_135,plain,
! [X396,X397] :
( ~ ssList(X396)
| ~ ssList(X397)
| ~ segmentP(X396,X397)
| ~ segmentP(X397,X396)
| X396 = X397 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax54])])]) ).
fof(i_0_136,plain,
! [X385,X386] :
( ~ ssList(X385)
| ~ ssList(X386)
| ~ rearsegP(X385,X386)
| ~ rearsegP(X386,X385)
| X385 = X386 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax48])])]) ).
fof(i_0_137,plain,
! [X370,X371] :
( ~ ssList(X370)
| ~ ssList(X371)
| ~ frontsegP(X370,X371)
| ~ frontsegP(X371,X370)
| X370 = X371 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax41])])]) ).
fof(i_0_138,plain,
! [X441,X442] :
( ~ ssItem(X441)
| ~ ssItem(X442)
| ~ geq(X441,X442)
| ~ geq(X442,X441)
| X441 = X442 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax87])])]) ).
fof(i_0_139,plain,
! [X345,X346] :
( ~ ssItem(X345)
| ~ ssItem(X346)
| ~ leq(X345,X346)
| ~ leq(X346,X345)
| X345 = X346 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax29])])]) ).
fof(i_0_140,plain,
! [X455,X456] :
( ~ ssItem(X455)
| ~ ssItem(X456)
| ~ gt(X455,X456)
| ~ gt(X456,X455) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_96])])]) ).
fof(i_0_141,plain,
! [X353,X354] :
( ~ ssItem(X353)
| ~ ssItem(X354)
| ~ lt(X353,X354)
| ~ lt(X354,X353) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_97])])]) ).
fof(i_0_142,plain,
! [X453,X454] :
( ( X453 != X454
| ~ lt(X453,X454)
| ~ ssItem(X454)
| ~ ssItem(X453) )
& ( leq(X453,X454)
| ~ lt(X453,X454)
| ~ ssItem(X454)
| ~ ssItem(X453) )
& ( X453 = X454
| ~ leq(X453,X454)
| lt(X453,X454)
| ~ ssItem(X454)
| ~ ssItem(X453) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax93])])])]) ).
fof(i_0_143,plain,
! [X451,X452] :
( ~ ssItem(X451)
| ~ ssItem(X452)
| ~ leq(X451,X452)
| X451 = X452
| lt(X451,X452) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax92])])]) ).
fof(i_0_144,plain,
! [X358,X359] :
( ( ~ gt(X358,X359)
| lt(X359,X358)
| ~ ssItem(X359)
| ~ ssItem(X358) )
& ( ~ lt(X359,X358)
| gt(X358,X359)
| ~ ssItem(X359)
| ~ ssItem(X358) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax35])])])]) ).
fof(i_0_145,plain,
! [X351,X352] :
( ( ~ geq(X351,X352)
| leq(X352,X351)
| ~ ssItem(X352)
| ~ ssItem(X351) )
& ( ~ leq(X352,X351)
| geq(X351,X352)
| ~ ssItem(X352)
| ~ ssItem(X351) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax32])])])]) ).
fof(i_0_146,negated_conjecture,
! [X465] :
( ssList(esk48_0)
& ssList(esk49_0)
& ssList(esk50_0)
& ssList(esk51_0)
& esk49_0 = esk51_0
& esk48_0 = esk50_0
& neq(esk49_0,nil)
& ~ segmentP(esk49_0,esk48_0)
& ( nil = esk51_0
| ssItem(esk52_0) )
& ( nil = esk50_0
| ssItem(esk52_0) )
& ( nil = esk51_0
| cons(esk52_0,nil) = esk50_0 )
& ( nil = esk50_0
| cons(esk52_0,nil) = esk50_0 )
& ( nil = esk51_0
| memberP(esk51_0,esk52_0) )
& ( nil = esk50_0
| memberP(esk51_0,esk52_0) )
& ( nil = esk51_0
| ~ ssItem(X465)
| esk52_0 = X465
| ~ memberP(esk51_0,X465)
| ~ leq(X465,esk52_0) )
& ( nil = esk50_0
| ~ ssItem(X465)
| esk52_0 = X465
| ~ memberP(esk51_0,X465)
| ~ leq(X465,esk52_0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_98])])])])]) ).
fof(i_0_147,plain,
! [X437,X438] :
( ~ ssList(X437)
| ~ ssList(X438)
| nil = X437
| hd(app(X437,X438)) = hd(X437) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax85])])]) ).
fof(i_0_148,plain,
! [X420,X421] :
( ~ ssList(X420)
| ~ ssList(X421)
| nil = X421
| nil = X420
| hd(X421) != hd(X420)
| tl(X421) != tl(X420)
| X421 = X420 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax77])])]) ).
fof(i_0_149,plain,
! [X337,X338] :
( ~ ssList(X337)
| ~ ssItem(X338)
| tl(cons(X338,X337)) = X337 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax25])])]) ).
fof(i_0_150,plain,
! [X334,X335] :
( ~ ssList(X334)
| ~ ssItem(X335)
| hd(cons(X335,X334)) = X335 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax23])])]) ).
fof(i_0_151,plain,
! [X339,X340] :
( ~ ssList(X339)
| ~ ssList(X340)
| ssList(app(X339,X340)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax26])])]) ).
fof(i_0_152,plain,
! [X320,X321] :
( ~ ssList(X320)
| ~ ssItem(X321)
| ssList(cons(X321,X320)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax16])])]) ).
fof(i_0_153,plain,
! [X318,X319] :
( ( ~ neq(X318,X319)
| X318 != X319
| ~ ssList(X319)
| ~ ssList(X318) )
& ( X318 = X319
| neq(X318,X319)
| ~ ssList(X319)
| ~ ssList(X318) ) ),
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,
! [X216,X217] :
( ( ~ neq(X216,X217)
| X216 != X217
| ~ ssItem(X217)
| ~ ssItem(X216) )
& ( X216 = X217
| neq(X216,X217)
| ~ ssItem(X217)
| ~ ssItem(X216) ) ),
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,
! [X226,X228] :
( ( ssItem(esk5_1(X226))
| ~ singletonP(X226)
| ~ ssList(X226) )
& ( cons(esk5_1(X226),nil) = X226
| ~ singletonP(X226)
| ~ ssList(X226) )
& ( ~ ssItem(X228)
| cons(X228,nil) != X226
| singletonP(X226)
| ~ ssList(X226) ) ),
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,
! [X434,X435] :
( ( nil = X435
| nil != app(X434,X435)
| ~ ssList(X435)
| ~ ssList(X434) )
& ( nil = X434
| nil != app(X434,X435)
| ~ ssList(X435)
| ~ ssList(X434) )
& ( nil != X435
| nil != X434
| nil = app(X434,X435)
| ~ ssList(X435)
| ~ ssList(X434) ) ),
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,
! [X322,X323] :
( ~ ssList(X322)
| ~ ssItem(X323)
| cons(X323,X322) != X322 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax18])])]) ).
fof(i_0_158,plain,
! [X331,X332] :
( ~ ssList(X331)
| ~ ssItem(X332)
| nil != cons(X332,X331) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax21])])]) ).
fof(i_0_159,plain,
! [X328] :
( ( ssList(esk44_1(X328))
| nil = X328
| ~ ssList(X328) )
& ( ssItem(esk45_1(X328))
| nil = X328
| ~ ssList(X328) )
& ( cons(esk45_1(X328),esk44_1(X328)) = X328
| nil = X328
| ~ ssList(X328) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax20])])])]) ).
fof(i_0_160,plain,
! [X422] :
( ~ ssList(X422)
| nil = X422
| cons(hd(X422),tl(X422)) = X422 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax78])]) ).
fof(i_0_161,plain,
! [X415] :
( ~ ssItem(X415)
| equalelemsP(cons(X415,nil)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax73])]) ).
fof(i_0_162,plain,
! [X414] :
( ~ ssItem(X414)
| duplicatefreeP(cons(X414,nil)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax71])]) ).
fof(i_0_163,plain,
! [X411] :
( ~ ssItem(X411)
| strictorderedP(cons(X411,nil)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax68])]) ).
fof(i_0_164,plain,
! [X408] :
( ~ ssItem(X408)
| totalorderedP(cons(X408,nil)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax65])]) ).
fof(i_0_165,plain,
! [X407] :
( ~ ssItem(X407)
| strictorderP(cons(X407,nil)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax63])]) ).
fof(i_0_166,plain,
! [X406] :
( ~ ssItem(X406)
| totalorderP(cons(X406,nil)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax61])]) ).
fof(i_0_167,plain,
! [X405] :
( ~ ssItem(X405)
| cyclefreeP(cons(X405,nil)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax59])]) ).
fof(i_0_168,plain,
! [X447] :
( ~ ssItem(X447)
| ~ lt(X447,X447) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_99])]) ).
fof(i_0_169,plain,
! [X404] :
( ( ~ segmentP(nil,X404)
| nil = X404
| ~ ssList(X404) )
& ( nil != X404
| segmentP(nil,X404)
| ~ ssList(X404) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax58])])]) ).
fof(i_0_170,plain,
! [X392] :
( ( ~ rearsegP(nil,X392)
| nil = X392
| ~ ssList(X392) )
& ( nil != X392
| rearsegP(nil,X392)
| ~ ssList(X392) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax52])])]) ).
fof(i_0_171,plain,
! [X381] :
( ( ~ frontsegP(nil,X381)
| nil = X381
| ~ ssList(X381) )
& ( nil != X381
| frontsegP(nil,X381)
| ~ ssList(X381) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax46])])]) ).
fof(i_0_172,plain,
! [X366] :
( ~ ssItem(X366)
| ~ memberP(nil,X366) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_100])]) ).
fof(i_0_173,plain,
! [X446] :
( ~ ssItem(X446)
| geq(X446,X446) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax89])]) ).
fof(i_0_174,plain,
! [X350] :
( ~ ssItem(X350)
| leq(X350,X350) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax31])]) ).
fof(i_0_175,plain,
! [X398] :
( ~ ssList(X398)
| segmentP(X398,X398) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax55])]) ).
fof(i_0_176,plain,
! [X387] :
( ~ ssList(X387)
| rearsegP(X387,X387) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax49])]) ).
fof(i_0_177,plain,
! [X372] :
( ~ ssList(X372)
| frontsegP(X372,X372) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax42])]) ).
fof(i_0_178,plain,
! [X344] :
( ~ ssList(X344)
| app(nil,X344) = X344 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])]) ).
fof(i_0_179,plain,
! [X436] :
( ~ ssList(X436)
| app(X436,nil) = X436 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax84])]) ).
fof(i_0_180,plain,
! [X403] :
( ~ ssList(X403)
| segmentP(X403,nil) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax57])]) ).
fof(i_0_181,plain,
! [X391] :
( ~ ssList(X391)
| rearsegP(X391,nil) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax51])]) ).
fof(i_0_182,plain,
! [X380] :
( ~ ssList(X380)
| frontsegP(X380,nil) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax45])]) ).
fof(i_0_183,plain,
! [X418] :
( ( ssList(esk47_1(X418))
| nil = X418
| ~ ssList(X418) )
& ( tl(X418) = esk47_1(X418)
| nil = X418
| ~ ssList(X418) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax76])])])]) ).
fof(i_0_184,plain,
! [X336] :
( ~ ssList(X336)
| nil = X336
| ssList(tl(X336)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax24])]) ).
fof(i_0_185,plain,
! [X416] :
( ( ssItem(esk46_1(X416))
| nil = X416
| ~ ssList(X416) )
& ( hd(X416) = esk46_1(X416)
| nil = X416
| ~ ssList(X416) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax75])])])]) ).
fof(i_0_186,plain,
! [X333] :
( ~ ssList(X333)
| nil = X333
| ssItem(hd(X333)) ),
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,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_211,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_212,plain,
( X3 = X1
| memberP(X2,X3)
| ~ memberP(cons(X1,X2),X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X3) ),
inference(split_conjunct,[status(thm)],[i_0_113]),
[final] ).
cnf(i_0_213,plain,
( app(app(X1,X2),X3) = app(X1,app(X2,X3))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[i_0_114]),
[final] ).
cnf(i_0_214,plain,
( cons(X3,app(X2,X1)) = app(cons(X3,X2),X1)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3) ),
inference(split_conjunct,[status(thm)],[i_0_115]),
[final] ).
cnf(i_0_215,plain,
( nil = X1
| strictorderedP(cons(X2,X1))
| ~ strictorderedP(X1)
| ~ lt(X2,hd(X1))
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_116]),
[final] ).
cnf(i_0_216,plain,
( nil = X1
| totalorderedP(cons(X2,X1))
| ~ totalorderedP(X1)
| ~ leq(X2,hd(X1))
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_217,plain,
( rearsegP(app(X3,X1),X2)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ rearsegP(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_218,plain,
( frontsegP(app(X1,X3),X2)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ frontsegP(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_219,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_220,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_221,plain,
( memberP(cons(X3,X1),X2)
| ~ memberP(X1,X2)
| ~ ssList(X1)
| ~ ssItem(X3)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_113]),
[final] ).
cnf(i_0_222,plain,
( lt(X1,hd(X2))
| nil = X2
| ~ strictorderedP(cons(X1,X2))
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_116]),
[final] ).
cnf(i_0_223,plain,
( leq(X1,hd(X2))
| nil = X2
| ~ totalorderedP(cons(X1,X2))
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_224,plain,
( gt(X1,X3)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| ~ gt(X1,X2)
| ~ gt(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_225,plain,
( geq(X1,X3)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| ~ geq(X1,X2)
| ~ geq(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_121]),
[final] ).
cnf(i_0_226,plain,
( lt(X1,X3)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| ~ lt(X1,X2)
| ~ lt(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)
| ~ leq(X1,X2)
| ~ lt(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_123]),
[final] ).
cnf(i_0_228,plain,
( leq(X1,X3)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| ~ leq(X1,X2)
| ~ leq(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_124]),
[final] ).
cnf(i_0_229,plain,
( segmentP(X1,X3)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ segmentP(X1,X2)
| ~ segmentP(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_125]),
[final] ).
cnf(i_0_230,plain,
( rearsegP(X1,X3)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_126]),
[final] ).
cnf(i_0_231,plain,
( frontsegP(X1,X3)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_127]),
[final] ).
cnf(i_0_232,plain,
( app(esk7_2(X1,X2),X2) = X1
| ~ rearsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_128]),
[final] ).
cnf(i_0_233,plain,
( app(X1,esk6_2(X2,X1)) = X2
| ~ frontsegP(X2,X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[i_0_129]),
[final] ).
cnf(i_0_234,plain,
( X1 = X2
| cons(X1,X3) != cons(X2,X4)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[i_0_130]),
[final] ).
cnf(i_0_235,plain,
( X1 = X2
| cons(X3,X2) != cons(X4,X1)
| ~ ssItem(X4)
| ~ ssItem(X3)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[i_0_130]),
[final] ).
cnf(i_0_236,plain,
( strictorderedP(X1)
| nil = X1
| ~ strictorderedP(cons(X2,X1))
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_116]),
[final] ).
cnf(i_0_237,plain,
( totalorderedP(X1)
| nil = X1
| ~ totalorderedP(cons(X2,X1))
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_238,plain,
( X3 = X1
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| app(X3,X2) != app(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_131]),
[final] ).
cnf(i_0_239,plain,
( X3 = X1
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| app(X2,X3) != app(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_132]),
[final] ).
cnf(i_0_240,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_241,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_242,plain,
( ssList(esk7_2(X1,X2))
| ~ rearsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_128]),
[final] ).
cnf(i_0_243,plain,
( ssList(esk6_2(X1,X2))
| ~ frontsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_129]),
[final] ).
cnf(i_0_244,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_245,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_246,plain,
( nil = X1
| tl(app(X1,X2)) = app(tl(X1),X2)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[i_0_133]),
[final] ).
cnf(i_0_247,plain,
( memberP(cons(X2,X3),X1)
| X1 != X2
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_113]),
[final] ).
cnf(i_0_248,plain,
( cons(X2,X1) = app(cons(X2,nil),X1)
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_134]),
[final] ).
cnf(i_0_249,plain,
( X1 = X2
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_135]),
[final] ).
cnf(i_0_250,plain,
( X1 = X2
| ~ ssList(X1)
| ~ ssList(X2)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_136]),
[final] ).
cnf(i_0_251,plain,
( X1 = X2
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_137]),
[final] ).
cnf(i_0_252,plain,
( X1 = X2
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ geq(X1,X2)
| ~ geq(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_138]),
[final] ).
cnf(i_0_253,plain,
( X1 = X2
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ leq(X1,X2)
| ~ leq(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_139]),
[final] ).
cnf(i_0_254,plain,
( rearsegP(X3,X2)
| ~ ssList(X1)
| app(X1,X2) != X3
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[i_0_128]),
[final] ).
cnf(i_0_255,plain,
( frontsegP(X3,X2)
| ~ ssList(X1)
| app(X2,X1) != X3
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[i_0_129]),
[final] ).
cnf(i_0_256,plain,
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ gt(X1,X2)
| ~ gt(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_140]),
[final] ).
cnf(i_0_257,plain,
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ lt(X1,X2)
| ~ lt(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_141]),
[final] ).
cnf(i_0_258,plain,
( X1 = X2
| lt(X1,X2)
| ~ leq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_142]),
[final] ).
cnf(i_0_259,plain,
( X1 = X2
| lt(X1,X2)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_143]),
[final] ).
cnf(i_0_260,plain,
( strictorderedP(X1)
| ~ lt(esk30_1(X1),esk31_1(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_261,plain,
( totalorderedP(X1)
| ~ leq(esk25_1(X1),esk26_1(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_262,plain,
( strictorderP(X1)
| ~ lt(esk21_1(X1),esk20_1(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_263,plain,
( strictorderP(X1)
| ~ lt(esk20_1(X1),esk21_1(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_264,plain,
( totalorderP(X1)
| ~ leq(esk16_1(X1),esk15_1(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_265,plain,
( totalorderP(X1)
| ~ leq(esk15_1(X1),esk16_1(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_266,plain,
( gt(X2,X1)
| ~ lt(X1,X2)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_144]),
[final] ).
cnf(i_0_267,plain,
( geq(X2,X1)
| ~ leq(X1,X2)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_145]),
[final] ).
cnf(i_0_268,plain,
( lt(X2,X1)
| ~ gt(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_144]),
[final] ).
cnf(i_0_269,plain,
( leq(X1,X2)
| ~ lt(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_142]),
[final] ).
cnf(i_0_270,plain,
( leq(X2,X1)
| ~ geq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_145]),
[final] ).
cnf(i_0_271,negated_conjecture,
( nil = esk51_0
| esk52_0 = X1
| ~ ssItem(X1)
| ~ memberP(esk51_0,X1)
| ~ leq(X1,esk52_0) ),
inference(split_conjunct,[status(thm)],[i_0_146]),
[final] ).
cnf(i_0_272,negated_conjecture,
( nil = esk50_0
| esk52_0 = X1
| ~ ssItem(X1)
| ~ memberP(esk51_0,X1)
| ~ leq(X1,esk52_0) ),
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_116]),
[final] ).
cnf(i_0_275,plain,
( totalorderedP(cons(X2,X1))
| nil != X1
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_117]),
[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_142]),
[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,negated_conjecture,
~ segmentP(esk49_0,esk48_0),
inference(split_conjunct,[status(thm)],[i_0_146]),
[final] ).
cnf(i_0_366,plain,
( tl(X1) = esk47_1(X1)
| nil = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_183]),
[final] ).
cnf(i_0_367,plain,
( hd(X1) = esk46_1(X1)
| nil = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_185]),
[final] ).
cnf(i_0_368,negated_conjecture,
( nil = esk51_0
| memberP(esk51_0,esk52_0) ),
inference(split_conjunct,[status(thm)],[i_0_146]),
[final] ).
cnf(i_0_369,negated_conjecture,
( nil = esk50_0
| memberP(esk51_0,esk52_0) ),
inference(split_conjunct,[status(thm)],[i_0_146]),
[final] ).
cnf(i_0_370,negated_conjecture,
( nil = esk51_0
| cons(esk52_0,nil) = esk50_0 ),
inference(split_conjunct,[status(thm)],[i_0_146]),
[final] ).
cnf(i_0_371,negated_conjecture,
( nil = esk50_0
| cons(esk52_0,nil) = esk50_0 ),
inference(split_conjunct,[status(thm)],[i_0_146]),
[final] ).
cnf(i_0_372,negated_conjecture,
neq(esk49_0,nil),
inference(split_conjunct,[status(thm)],[i_0_146]),
[final] ).
cnf(i_0_373,plain,
~ singletonP(nil),
inference(split_conjunct,[status(thm)],[i_0_187]),
[final] ).
cnf(i_0_374,negated_conjecture,
( nil = esk51_0
| ssItem(esk52_0) ),
inference(split_conjunct,[status(thm)],[i_0_146]),
[final] ).
cnf(i_0_375,negated_conjecture,
( nil = esk50_0
| ssItem(esk52_0) ),
inference(split_conjunct,[status(thm)],[i_0_146]),
[final] ).
cnf(i_0_376,plain,
equalelemsP(nil),
inference(split_conjunct,[status(thm)],[ax74]),
[final] ).
cnf(i_0_377,plain,
duplicatefreeP(nil),
inference(split_conjunct,[status(thm)],[ax72]),
[final] ).
cnf(i_0_378,plain,
strictorderedP(nil),
inference(split_conjunct,[status(thm)],[ax69]),
[final] ).
cnf(i_0_379,plain,
totalorderedP(nil),
inference(split_conjunct,[status(thm)],[ax66]),
[final] ).
cnf(i_0_380,plain,
strictorderP(nil),
inference(split_conjunct,[status(thm)],[ax64]),
[final] ).
cnf(i_0_381,plain,
totalorderP(nil),
inference(split_conjunct,[status(thm)],[ax62]),
[final] ).
cnf(i_0_382,plain,
cyclefreeP(nil),
inference(split_conjunct,[status(thm)],[ax60]),
[final] ).
cnf(i_0_383,negated_conjecture,
ssList(esk51_0),
inference(split_conjunct,[status(thm)],[i_0_146]),
[final] ).
cnf(i_0_384,negated_conjecture,
ssList(esk50_0),
inference(split_conjunct,[status(thm)],[i_0_146]),
[final] ).
cnf(i_0_385,negated_conjecture,
ssList(esk49_0),
inference(split_conjunct,[status(thm)],[i_0_146]),
[final] ).
cnf(i_0_386,negated_conjecture,
ssList(esk48_0),
inference(split_conjunct,[status(thm)],[i_0_146]),
[final] ).
cnf(i_0_387,plain,
ssList(nil),
inference(split_conjunct,[status(thm)],[ax17]),
[final] ).
cnf(i_0_388,plain,
ssItem(esk2_0),
inference(split_conjunct,[status(thm)],[i_0_188]),
[final] ).
cnf(i_0_389,plain,
ssItem(esk1_0),
inference(split_conjunct,[status(thm)],[i_0_188]),
[final] ).
cnf(i_0_390,plain,
esk1_0 != esk2_0,
inference(split_conjunct,[status(thm)],[i_0_188]),
[final] ).
cnf(i_0_391,negated_conjecture,
esk49_0 = esk51_0,
inference(split_conjunct,[status(thm)],[i_0_146]),
[final] ).
cnf(i_0_392,negated_conjecture,
esk48_0 = esk50_0,
inference(split_conjunct,[status(thm)],[i_0_146]),
[final] ).
cnf(i_0_393,axiom,
X1 = X1 ).
cnf(i_0_394,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_395,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_396,axiom,
( X1 != X2
| app(X1,X3) = app(X2,X3) ) ).
cnf(i_0_397,axiom,
( X1 != X2
| app(X3,X1) = app(X3,X2) ) ).
cnf(i_0_398,axiom,
( X1 != X2
| cons(X1,X3) = cons(X2,X3) ) ).
cnf(i_0_399,axiom,
( X1 != X2
| cons(X3,X1) = cons(X3,X2) ) ).
cnf(i_0_400,axiom,
( X1 != X2
| esk40_1(X1) = esk40_1(X2) ) ).
cnf(i_0_401,axiom,
( X1 != X2
| esk41_1(X1) = esk41_1(X2) ) ).
cnf(i_0_402,axiom,
( X1 != X2
| esk35_1(X1) = esk35_1(X2) ) ).
cnf(i_0_403,axiom,
( X1 != X2
| hd(X1) = hd(X2) ) ).
cnf(i_0_404,axiom,
( X1 != X2
| tl(X1) = tl(X2) ) ).
cnf(i_0_405,axiom,
( X1 != X2
| esk47_1(X1) = esk47_1(X2) ) ).
cnf(i_0_406,axiom,
( X1 != X2
| esk46_1(X1) = esk46_1(X2) ) ).
cnf(i_0_407,axiom,
( X1 != X2
| esk36_1(X1) = esk36_1(X2) ) ).
cnf(i_0_408,axiom,
( X1 != X2
| ~ cyclefreeP(X1)
| cyclefreeP(X2) ) ).
cnf(i_0_409,axiom,
( X1 != X2
| ~ duplicatefreeP(X1)
| duplicatefreeP(X2) ) ).
cnf(i_0_410,axiom,
( X1 != X2
| ~ equalelemsP(X1)
| equalelemsP(X2) ) ).
cnf(i_0_411,axiom,
( X1 != X2
| ~ segmentP(X1,X3)
| segmentP(X2,X3) ) ).
cnf(i_0_412,axiom,
( X1 != X2
| ~ segmentP(X3,X1)
| segmentP(X3,X2) ) ).
cnf(i_0_413,axiom,
( X1 != X2
| ~ memberP(X1,X3)
| memberP(X2,X3) ) ).
cnf(i_0_414,axiom,
( X1 != X2
| ~ memberP(X3,X1)
| memberP(X3,X2) ) ).
cnf(i_0_415,axiom,
( X1 != X2
| ~ frontsegP(X1,X3)
| frontsegP(X2,X3) ) ).
cnf(i_0_416,axiom,
( X1 != X2
| ~ frontsegP(X3,X1)
| frontsegP(X3,X2) ) ).
cnf(i_0_417,axiom,
( X1 != X2
| ~ rearsegP(X1,X3)
| rearsegP(X2,X3) ) ).
cnf(i_0_418,axiom,
( X1 != X2
| ~ rearsegP(X3,X1)
| rearsegP(X3,X2) ) ).
cnf(i_0_419,axiom,
( X1 != X2
| ~ gt(X1,X3)
| gt(X2,X3) ) ).
cnf(i_0_420,axiom,
( X1 != X2
| ~ gt(X3,X1)
| gt(X3,X2) ) ).
cnf(i_0_421,axiom,
( X1 != X2
| ~ geq(X1,X3)
| geq(X2,X3) ) ).
cnf(i_0_422,axiom,
( X1 != X2
| ~ geq(X3,X1)
| geq(X3,X2) ) ).
cnf(i_0_423,axiom,
( X1 != X2
| ~ neq(X1,X3)
| neq(X2,X3) ) ).
cnf(i_0_424,axiom,
( X1 != X2
| ~ neq(X3,X1)
| neq(X3,X2) ) ).
cnf(i_0_425,axiom,
( X1 != X2
| ~ singletonP(X1)
| singletonP(X2) ) ).
cnf(i_0_426,axiom,
( X1 != X2
| ~ ssItem(X1)
| ssItem(X2) ) ).
cnf(i_0_427,axiom,
( X1 != X2
| ~ ssList(X1)
| ssList(X2) ) ).
cnf(i_0_428,axiom,
( X1 != X2
| ~ leq(X1,X3)
| leq(X2,X3) ) ).
cnf(i_0_429,axiom,
( X1 != X2
| ~ leq(X3,X1)
| leq(X3,X2) ) ).
cnf(i_0_430,axiom,
( X1 != X2
| ~ lt(X1,X3)
| lt(X2,X3) ) ).
cnf(i_0_431,axiom,
( X1 != X2
| ~ lt(X3,X1)
| lt(X3,X2) ) ).
cnf(i_0_432,axiom,
( X1 != X2
| ~ strictorderP(X1)
| strictorderP(X2) ) ).
cnf(i_0_433,axiom,
( X1 != X2
| ~ totalorderP(X1)
| totalorderP(X2) ) ).
cnf(i_0_434,axiom,
( X1 != X2
| ~ strictorderedP(X1)
| strictorderedP(X2) ) ).
cnf(i_0_435,axiom,
( X1 != X2
| ~ totalorderedP(X1)
| totalorderedP(X2) ) ).
cnf(i_0_2094,plain,
rearsegP(app(cons(esk1_0,nil),nil),nil),
inference(scs_inference,[],[i_0_502,i_0_504,i_0_506,i_0_1852,i_0_1859,i_0_1779,i_0_1940,i_0_521,i_0_1811,i_0_1855,i_0_1924,i_0_1909,i_0_1869,i_0_1812,i_0_1791,i_0_1765,i_0_1766,i_0_1834,i_0_1828,i_0_1832,i_0_1922,i_0_1938,i_0_1929,i_0_1901,i_0_1844,i_0_1838,i_0_573,i_0_575,i_0_387,i_0_391,i_0_383,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_357,i_0_358,i_0_353,i_0_354,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_394,i_0_420,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_280,i_0_290,i_0_414,i_0_425,i_0_413,i_0_415,i_0_416,i_0_417,i_0_418,i_0_395,i_0_412,i_0_411,i_0_279,i_0_434,i_0_424,i_0_268,i_0_240,i_0_241,i_0_242,i_0_243,i_0_285,i_0_286,i_0_232,i_0_233,i_0_273,i_0_213,i_0_214,i_0_246,i_0_284,i_0_203,i_0_302,i_0_451,i_0_450]) ).
cnf(i_0_2096,plain,
rearsegP(app(nil,esk48_0),nil),
inference(scs_inference,[],[i_0_502,i_0_504,i_0_506,i_0_1852,i_0_1859,i_0_1779,i_0_1783,i_0_1940,i_0_521,i_0_1811,i_0_1855,i_0_1924,i_0_1909,i_0_1869,i_0_1812,i_0_1791,i_0_1765,i_0_1766,i_0_1834,i_0_1828,i_0_1832,i_0_1922,i_0_1938,i_0_1929,i_0_1901,i_0_1844,i_0_1838,i_0_573,i_0_575,i_0_387,i_0_386,i_0_391,i_0_383,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_357,i_0_358,i_0_353,i_0_354,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_394,i_0_420,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_280,i_0_290,i_0_414,i_0_425,i_0_413,i_0_415,i_0_416,i_0_417,i_0_418,i_0_395,i_0_412,i_0_411,i_0_279,i_0_434,i_0_424,i_0_268,i_0_240,i_0_241,i_0_242,i_0_243,i_0_285,i_0_286,i_0_232,i_0_233,i_0_273,i_0_213,i_0_214,i_0_246,i_0_284,i_0_203,i_0_302,i_0_451,i_0_450,i_0_217]) ).
cnf(i_0_2098,plain,
frontsegP(app(app(app(nil,nil),app(nil,nil)),app(nil,nil)),app(nil,nil)),
inference(scs_inference,[],[i_0_502,i_0_504,i_0_506,i_0_1852,i_0_1859,i_0_1779,i_0_1783,i_0_1940,i_0_521,i_0_1811,i_0_1855,i_0_1924,i_0_1909,i_0_1869,i_0_1812,i_0_1791,i_0_1765,i_0_1766,i_0_1834,i_0_1828,i_0_1832,i_0_1922,i_0_1938,i_0_1929,i_0_1901,i_0_1844,i_0_1838,i_0_573,i_0_575,i_0_387,i_0_386,i_0_391,i_0_383,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_357,i_0_358,i_0_353,i_0_354,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_394,i_0_420,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_280,i_0_290,i_0_414,i_0_425,i_0_413,i_0_415,i_0_416,i_0_417,i_0_418,i_0_395,i_0_412,i_0_411,i_0_279,i_0_434,i_0_424,i_0_268,i_0_240,i_0_241,i_0_242,i_0_243,i_0_285,i_0_286,i_0_232,i_0_233,i_0_273,i_0_213,i_0_214,i_0_246,i_0_284,i_0_203,i_0_302,i_0_451,i_0_450,i_0_217,i_0_218]) ).
cnf(i_0_2100,plain,
app(nil,app(nil,nil)) != app(esk49_0,app(nil,nil)),
inference(scs_inference,[],[i_0_502,i_0_504,i_0_506,i_0_1805,i_0_1852,i_0_1859,i_0_1779,i_0_1783,i_0_1940,i_0_521,i_0_1811,i_0_1855,i_0_1924,i_0_1909,i_0_1869,i_0_1812,i_0_1791,i_0_1765,i_0_1766,i_0_1834,i_0_1828,i_0_1832,i_0_1922,i_0_1938,i_0_1929,i_0_1901,i_0_1844,i_0_1838,i_0_573,i_0_575,i_0_387,i_0_386,i_0_391,i_0_383,i_0_385,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_357,i_0_358,i_0_353,i_0_354,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_394,i_0_420,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_280,i_0_290,i_0_414,i_0_425,i_0_413,i_0_415,i_0_416,i_0_417,i_0_418,i_0_395,i_0_412,i_0_411,i_0_279,i_0_434,i_0_424,i_0_268,i_0_240,i_0_241,i_0_242,i_0_243,i_0_285,i_0_286,i_0_232,i_0_233,i_0_273,i_0_213,i_0_214,i_0_246,i_0_284,i_0_203,i_0_302,i_0_451,i_0_450,i_0_217,i_0_218,i_0_238]) ).
cnf(i_0_2102,plain,
app(app(nil,nil),nil) != app(app(nil,nil),esk49_0),
inference(scs_inference,[],[i_0_502,i_0_504,i_0_506,i_0_1805,i_0_1852,i_0_1859,i_0_1779,i_0_1783,i_0_1940,i_0_521,i_0_1811,i_0_1855,i_0_1924,i_0_1909,i_0_1869,i_0_1812,i_0_1791,i_0_1765,i_0_1766,i_0_1834,i_0_1828,i_0_1832,i_0_1922,i_0_1938,i_0_1929,i_0_1901,i_0_1844,i_0_1838,i_0_573,i_0_575,i_0_387,i_0_386,i_0_391,i_0_383,i_0_385,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_357,i_0_358,i_0_353,i_0_354,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_394,i_0_420,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_280,i_0_290,i_0_414,i_0_425,i_0_413,i_0_415,i_0_416,i_0_417,i_0_418,i_0_395,i_0_412,i_0_411,i_0_279,i_0_434,i_0_424,i_0_268,i_0_240,i_0_241,i_0_242,i_0_243,i_0_285,i_0_286,i_0_232,i_0_233,i_0_273,i_0_213,i_0_214,i_0_246,i_0_284,i_0_203,i_0_302,i_0_451,i_0_450,i_0_217,i_0_218,i_0_238,i_0_239]) ).
cnf(i_0_2104,plain,
app(app(nil,nil),esk49_0) != nil,
inference(scs_inference,[],[i_0_502,i_0_504,i_0_506,i_0_1805,i_0_1852,i_0_1859,i_0_1779,i_0_1783,i_0_1818,i_0_1940,i_0_521,i_0_1811,i_0_1855,i_0_1924,i_0_1909,i_0_1869,i_0_1812,i_0_1791,i_0_1765,i_0_1766,i_0_1834,i_0_1828,i_0_1832,i_0_1922,i_0_1938,i_0_1929,i_0_1901,i_0_1844,i_0_1838,i_0_573,i_0_575,i_0_387,i_0_386,i_0_391,i_0_383,i_0_385,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_357,i_0_358,i_0_353,i_0_354,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_394,i_0_420,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_280,i_0_290,i_0_414,i_0_425,i_0_413,i_0_415,i_0_416,i_0_417,i_0_418,i_0_395,i_0_412,i_0_411,i_0_279,i_0_434,i_0_424,i_0_268,i_0_240,i_0_241,i_0_242,i_0_243,i_0_285,i_0_286,i_0_232,i_0_233,i_0_273,i_0_213,i_0_214,i_0_246,i_0_284,i_0_203,i_0_302,i_0_451,i_0_450,i_0_217,i_0_218,i_0_238,i_0_239,i_0_254]) ).
cnf(i_0_2106,plain,
app(esk49_0,app(nil,nil)) != nil,
inference(scs_inference,[],[i_0_502,i_0_504,i_0_506,i_0_1805,i_0_1852,i_0_1859,i_0_1779,i_0_1783,i_0_1818,i_0_1820,i_0_1940,i_0_521,i_0_1811,i_0_1855,i_0_1924,i_0_1909,i_0_1869,i_0_1812,i_0_1791,i_0_1765,i_0_1766,i_0_1834,i_0_1828,i_0_1832,i_0_1922,i_0_1938,i_0_1929,i_0_1901,i_0_1844,i_0_1838,i_0_573,i_0_575,i_0_387,i_0_386,i_0_391,i_0_383,i_0_385,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_357,i_0_358,i_0_353,i_0_354,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_394,i_0_420,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_280,i_0_290,i_0_414,i_0_425,i_0_413,i_0_415,i_0_416,i_0_417,i_0_418,i_0_395,i_0_412,i_0_411,i_0_279,i_0_434,i_0_424,i_0_268,i_0_240,i_0_241,i_0_242,i_0_243,i_0_285,i_0_286,i_0_232,i_0_233,i_0_273,i_0_213,i_0_214,i_0_246,i_0_284,i_0_203,i_0_302,i_0_451,i_0_450,i_0_217,i_0_218,i_0_238,i_0_239,i_0_254,i_0_255]) ).
cnf(i_0_2108,plain,
segmentP(app(app(nil,nil),app(nil,nil)),nil),
inference(scs_inference,[],[i_0_502,i_0_504,i_0_506,i_0_1805,i_0_1852,i_0_1859,i_0_1779,i_0_1783,i_0_1818,i_0_1820,i_0_1940,i_0_521,i_0_1811,i_0_1855,i_0_1924,i_0_1909,i_0_1869,i_0_1812,i_0_1791,i_0_1765,i_0_1766,i_0_1834,i_0_1828,i_0_1832,i_0_1922,i_0_1938,i_0_1929,i_0_1901,i_0_1844,i_0_1838,i_0_573,i_0_575,i_0_387,i_0_386,i_0_391,i_0_383,i_0_385,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_357,i_0_358,i_0_353,i_0_354,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_394,i_0_420,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_280,i_0_290,i_0_414,i_0_425,i_0_413,i_0_415,i_0_416,i_0_417,i_0_418,i_0_395,i_0_412,i_0_411,i_0_279,i_0_434,i_0_424,i_0_268,i_0_240,i_0_241,i_0_242,i_0_243,i_0_285,i_0_286,i_0_232,i_0_233,i_0_273,i_0_213,i_0_214,i_0_246,i_0_284,i_0_203,i_0_302,i_0_451,i_0_450,i_0_217,i_0_218,i_0_238,i_0_239,i_0_254,i_0_255,i_0_443]) ).
cnf(i_0_2110,plain,
~ memberP(cons(esk2_0,nil),esk1_0),
inference(scs_inference,[],[i_0_502,i_0_504,i_0_506,i_0_1805,i_0_1852,i_0_1859,i_0_1779,i_0_1783,i_0_1818,i_0_1820,i_0_1940,i_0_521,i_0_1811,i_0_1855,i_0_1924,i_0_1909,i_0_1869,i_0_1812,i_0_1791,i_0_1765,i_0_1766,i_0_1834,i_0_1828,i_0_1832,i_0_1922,i_0_1938,i_0_1929,i_0_1901,i_0_1844,i_0_1838,i_0_573,i_0_575,i_0_390,i_0_389,i_0_387,i_0_388,i_0_386,i_0_391,i_0_383,i_0_385,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_357,i_0_358,i_0_353,i_0_354,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_394,i_0_420,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_280,i_0_290,i_0_414,i_0_425,i_0_413,i_0_415,i_0_416,i_0_417,i_0_418,i_0_395,i_0_412,i_0_411,i_0_279,i_0_434,i_0_424,i_0_268,i_0_240,i_0_241,i_0_242,i_0_243,i_0_285,i_0_286,i_0_232,i_0_233,i_0_273,i_0_213,i_0_214,i_0_246,i_0_284,i_0_203,i_0_302,i_0_451,i_0_450,i_0_217,i_0_218,i_0_238,i_0_239,i_0_254,i_0_255,i_0_443,i_0_212]) ).
cnf(i_0_2112,plain,
~ rearsegP(nil,esk51_0),
inference(scs_inference,[],[i_0_502,i_0_504,i_0_506,i_0_1805,i_0_1852,i_0_1859,i_0_1779,i_0_1783,i_0_1818,i_0_1820,i_0_1940,i_0_521,i_0_1811,i_0_1855,i_0_1924,i_0_1909,i_0_1869,i_0_1812,i_0_1791,i_0_1765,i_0_1766,i_0_1834,i_0_1828,i_0_1832,i_0_1922,i_0_1938,i_0_1929,i_0_1901,i_0_1844,i_0_1838,i_0_573,i_0_575,i_0_390,i_0_389,i_0_387,i_0_388,i_0_386,i_0_391,i_0_383,i_0_385,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_357,i_0_358,i_0_353,i_0_354,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_394,i_0_420,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_280,i_0_290,i_0_414,i_0_425,i_0_413,i_0_415,i_0_416,i_0_417,i_0_418,i_0_395,i_0_412,i_0_411,i_0_279,i_0_434,i_0_424,i_0_268,i_0_240,i_0_241,i_0_242,i_0_243,i_0_285,i_0_286,i_0_232,i_0_233,i_0_273,i_0_213,i_0_214,i_0_246,i_0_284,i_0_203,i_0_302,i_0_451,i_0_450,i_0_217,i_0_218,i_0_238,i_0_239,i_0_254,i_0_255,i_0_443,i_0_212,i_0_230]) ).
cnf(i_0_2114,plain,
frontsegP(app(app(nil,nil),app(nil,nil)),nil),
inference(scs_inference,[],[i_0_502,i_0_504,i_0_506,i_0_1805,i_0_1852,i_0_1859,i_0_1779,i_0_1783,i_0_1818,i_0_1820,i_0_1940,i_0_521,i_0_1811,i_0_1855,i_0_1893,i_0_1924,i_0_1909,i_0_1869,i_0_1812,i_0_1791,i_0_1765,i_0_1766,i_0_1834,i_0_1828,i_0_1832,i_0_1922,i_0_1938,i_0_1929,i_0_1901,i_0_1844,i_0_1838,i_0_573,i_0_575,i_0_390,i_0_389,i_0_387,i_0_388,i_0_386,i_0_391,i_0_383,i_0_385,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_357,i_0_358,i_0_353,i_0_354,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_394,i_0_420,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_280,i_0_290,i_0_414,i_0_425,i_0_413,i_0_415,i_0_416,i_0_417,i_0_418,i_0_395,i_0_412,i_0_411,i_0_279,i_0_434,i_0_424,i_0_268,i_0_240,i_0_241,i_0_242,i_0_243,i_0_285,i_0_286,i_0_232,i_0_233,i_0_273,i_0_213,i_0_214,i_0_246,i_0_284,i_0_203,i_0_302,i_0_451,i_0_450,i_0_217,i_0_218,i_0_238,i_0_239,i_0_254,i_0_255,i_0_443,i_0_212,i_0_230,i_0_231]) ).
cnf(i_0_2116,plain,
~ segmentP(nil,esk51_0),
inference(scs_inference,[],[i_0_502,i_0_504,i_0_506,i_0_1805,i_0_1852,i_0_1859,i_0_1779,i_0_1783,i_0_1816,i_0_1818,i_0_1820,i_0_1940,i_0_521,i_0_1811,i_0_1855,i_0_1893,i_0_1924,i_0_1909,i_0_1869,i_0_1812,i_0_1791,i_0_1765,i_0_1766,i_0_1834,i_0_1828,i_0_1832,i_0_1922,i_0_1938,i_0_1929,i_0_1901,i_0_1844,i_0_1838,i_0_573,i_0_575,i_0_390,i_0_389,i_0_387,i_0_388,i_0_386,i_0_391,i_0_383,i_0_385,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_357,i_0_358,i_0_353,i_0_354,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_394,i_0_420,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_280,i_0_290,i_0_414,i_0_425,i_0_413,i_0_415,i_0_416,i_0_417,i_0_418,i_0_395,i_0_412,i_0_411,i_0_279,i_0_434,i_0_424,i_0_268,i_0_240,i_0_241,i_0_242,i_0_243,i_0_285,i_0_286,i_0_232,i_0_233,i_0_273,i_0_213,i_0_214,i_0_246,i_0_284,i_0_203,i_0_302,i_0_451,i_0_450,i_0_217,i_0_218,i_0_238,i_0_239,i_0_254,i_0_255,i_0_443,i_0_212,i_0_230,i_0_231,i_0_229]) ).
cnf(i_0_2118,plain,
segmentP(app(app(nil,esk48_0),nil),nil),
inference(scs_inference,[],[i_0_502,i_0_504,i_0_506,i_0_1805,i_0_1852,i_0_1859,i_0_1779,i_0_1781,i_0_1783,i_0_1816,i_0_1818,i_0_1820,i_0_1940,i_0_521,i_0_1811,i_0_1855,i_0_1893,i_0_1924,i_0_1909,i_0_1869,i_0_1812,i_0_1791,i_0_1765,i_0_1766,i_0_1834,i_0_1828,i_0_1832,i_0_1922,i_0_1938,i_0_1929,i_0_1901,i_0_1844,i_0_1838,i_0_573,i_0_575,i_0_390,i_0_389,i_0_387,i_0_388,i_0_386,i_0_391,i_0_383,i_0_385,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_357,i_0_358,i_0_353,i_0_354,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_394,i_0_420,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_280,i_0_290,i_0_414,i_0_425,i_0_413,i_0_415,i_0_416,i_0_417,i_0_418,i_0_395,i_0_412,i_0_411,i_0_279,i_0_434,i_0_424,i_0_268,i_0_240,i_0_241,i_0_242,i_0_243,i_0_285,i_0_286,i_0_232,i_0_233,i_0_273,i_0_213,i_0_214,i_0_246,i_0_284,i_0_203,i_0_302,i_0_451,i_0_450,i_0_217,i_0_218,i_0_238,i_0_239,i_0_254,i_0_255,i_0_443,i_0_212,i_0_230,i_0_231,i_0_229,i_0_206]) ).
cnf(i_0_2120,plain,
app(app(app(nil,nil),esk48_0),app(nil,nil)) != esk49_0,
inference(scs_inference,[],[i_0_365,i_0_502,i_0_504,i_0_506,i_0_1805,i_0_1852,i_0_1859,i_0_1779,i_0_1781,i_0_1783,i_0_1816,i_0_1818,i_0_1820,i_0_1940,i_0_521,i_0_1811,i_0_1855,i_0_1893,i_0_1924,i_0_1909,i_0_1869,i_0_1812,i_0_1791,i_0_1765,i_0_1766,i_0_1834,i_0_1828,i_0_1832,i_0_1922,i_0_1938,i_0_1929,i_0_1901,i_0_1844,i_0_1838,i_0_573,i_0_575,i_0_390,i_0_389,i_0_387,i_0_388,i_0_386,i_0_391,i_0_383,i_0_385,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_357,i_0_358,i_0_353,i_0_354,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_394,i_0_420,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_280,i_0_290,i_0_414,i_0_425,i_0_413,i_0_415,i_0_416,i_0_417,i_0_418,i_0_395,i_0_412,i_0_411,i_0_279,i_0_434,i_0_424,i_0_268,i_0_240,i_0_241,i_0_242,i_0_243,i_0_285,i_0_286,i_0_232,i_0_233,i_0_273,i_0_213,i_0_214,i_0_246,i_0_284,i_0_203,i_0_302,i_0_451,i_0_450,i_0_217,i_0_218,i_0_238,i_0_239,i_0_254,i_0_255,i_0_443,i_0_212,i_0_230,i_0_231,i_0_229,i_0_206,i_0_210]) ).
cnf(i_0_2122,plain,
app(app(nil,nil),cons(esk1_0,app(nil,nil))) != app(nil,nil),
inference(scs_inference,[],[i_0_365,i_0_502,i_0_504,i_0_506,i_0_1805,i_0_1852,i_0_1859,i_0_1779,i_0_1781,i_0_1783,i_0_1816,i_0_1818,i_0_1820,i_0_1940,i_0_521,i_0_1811,i_0_1855,i_0_1893,i_0_1924,i_0_1909,i_0_1869,i_0_1812,i_0_1791,i_0_1765,i_0_1766,i_0_1806,i_0_1834,i_0_1828,i_0_1832,i_0_1922,i_0_1938,i_0_1929,i_0_1901,i_0_1844,i_0_1838,i_0_573,i_0_575,i_0_390,i_0_389,i_0_387,i_0_388,i_0_386,i_0_391,i_0_383,i_0_385,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_357,i_0_358,i_0_353,i_0_354,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_394,i_0_420,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_280,i_0_290,i_0_414,i_0_425,i_0_413,i_0_415,i_0_416,i_0_417,i_0_418,i_0_395,i_0_412,i_0_411,i_0_279,i_0_434,i_0_424,i_0_268,i_0_240,i_0_241,i_0_242,i_0_243,i_0_285,i_0_286,i_0_232,i_0_233,i_0_273,i_0_213,i_0_214,i_0_246,i_0_284,i_0_203,i_0_302,i_0_451,i_0_450,i_0_217,i_0_218,i_0_238,i_0_239,i_0_254,i_0_255,i_0_443,i_0_212,i_0_230,i_0_231,i_0_229,i_0_206,i_0_210,i_0_211]) ).
cnf(i_0_2124,plain,
~ memberP(app(nil,nil),esk46_1(esk49_0)),
inference(scs_inference,[],[i_0_365,i_0_502,i_0_504,i_0_506,i_0_1805,i_0_1852,i_0_1859,i_0_1779,i_0_1781,i_0_1783,i_0_1816,i_0_1818,i_0_1820,i_0_1940,i_0_521,i_0_1811,i_0_1855,i_0_1893,i_0_1924,i_0_1909,i_0_1869,i_0_1812,i_0_1791,i_0_1765,i_0_1766,i_0_1806,i_0_1834,i_0_1828,i_0_1832,i_0_1922,i_0_1938,i_0_1929,i_0_1901,i_0_1844,i_0_1838,i_0_573,i_0_575,i_0_390,i_0_389,i_0_387,i_0_388,i_0_386,i_0_391,i_0_383,i_0_385,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_357,i_0_358,i_0_353,i_0_354,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_394,i_0_420,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_280,i_0_290,i_0_414,i_0_425,i_0_413,i_0_415,i_0_416,i_0_417,i_0_418,i_0_395,i_0_412,i_0_411,i_0_279,i_0_434,i_0_424,i_0_268,i_0_240,i_0_241,i_0_242,i_0_243,i_0_285,i_0_286,i_0_232,i_0_233,i_0_273,i_0_213,i_0_214,i_0_246,i_0_284,i_0_203,i_0_302,i_0_451,i_0_450,i_0_217,i_0_218,i_0_238,i_0_239,i_0_254,i_0_255,i_0_443,i_0_212,i_0_230,i_0_231,i_0_229,i_0_206,i_0_210,i_0_211,i_0_209]) ).
cnf(i_0_2126,plain,
~ frontsegP(cons(esk46_1(esk49_0),nil),cons(esk46_1(esk49_0),esk49_0)),
inference(scs_inference,[],[i_0_365,i_0_502,i_0_504,i_0_506,i_0_1805,i_0_1852,i_0_1859,i_0_1779,i_0_1781,i_0_1783,i_0_1816,i_0_1818,i_0_1820,i_0_1940,i_0_521,i_0_1811,i_0_1855,i_0_1893,i_0_1924,i_0_1909,i_0_1869,i_0_1812,i_0_1791,i_0_1765,i_0_1766,i_0_1806,i_0_1834,i_0_1828,i_0_1832,i_0_1922,i_0_1938,i_0_1929,i_0_1901,i_0_1844,i_0_1838,i_0_573,i_0_575,i_0_390,i_0_389,i_0_387,i_0_388,i_0_386,i_0_391,i_0_383,i_0_385,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_357,i_0_358,i_0_353,i_0_354,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_394,i_0_420,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_280,i_0_290,i_0_414,i_0_425,i_0_413,i_0_415,i_0_416,i_0_417,i_0_418,i_0_395,i_0_412,i_0_411,i_0_279,i_0_434,i_0_424,i_0_268,i_0_240,i_0_241,i_0_242,i_0_243,i_0_285,i_0_286,i_0_232,i_0_233,i_0_273,i_0_213,i_0_214,i_0_246,i_0_284,i_0_203,i_0_302,i_0_451,i_0_450,i_0_217,i_0_218,i_0_238,i_0_239,i_0_254,i_0_255,i_0_443,i_0_212,i_0_230,i_0_231,i_0_229,i_0_206,i_0_210,i_0_211,i_0_209,i_0_205]) ).
cnf(i_0_2128,plain,
frontsegP(cons(esk45_1(esk49_0),esk49_0),cons(esk45_1(esk49_0),esk49_0)),
inference(scs_inference,[],[i_0_365,i_0_502,i_0_504,i_0_506,i_0_1805,i_0_1852,i_0_1859,i_0_1779,i_0_1781,i_0_1783,i_0_1816,i_0_1818,i_0_1820,i_0_1940,i_0_521,i_0_1811,i_0_1855,i_0_1893,i_0_1924,i_0_1909,i_0_1869,i_0_1812,i_0_1791,i_0_1765,i_0_1766,i_0_1806,i_0_1834,i_0_1828,i_0_1830,i_0_1832,i_0_1922,i_0_1938,i_0_1929,i_0_1901,i_0_1844,i_0_1838,i_0_573,i_0_575,i_0_390,i_0_389,i_0_387,i_0_388,i_0_386,i_0_391,i_0_383,i_0_385,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_357,i_0_358,i_0_353,i_0_354,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_394,i_0_420,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_280,i_0_290,i_0_414,i_0_425,i_0_413,i_0_415,i_0_416,i_0_417,i_0_418,i_0_395,i_0_412,i_0_411,i_0_279,i_0_434,i_0_424,i_0_268,i_0_240,i_0_241,i_0_242,i_0_243,i_0_285,i_0_286,i_0_232,i_0_233,i_0_273,i_0_213,i_0_214,i_0_246,i_0_284,i_0_203,i_0_302,i_0_451,i_0_450,i_0_217,i_0_218,i_0_238,i_0_239,i_0_254,i_0_255,i_0_443,i_0_212,i_0_230,i_0_231,i_0_229,i_0_206,i_0_210,i_0_211,i_0_209,i_0_205,i_0_442]) ).
cnf(i_0_2130,plain,
ssItem(esk52_0),
inference(scs_inference,[],[i_0_365,i_0_502,i_0_504,i_0_506,i_0_1805,i_0_1852,i_0_1859,i_0_1779,i_0_1781,i_0_1783,i_0_1816,i_0_1818,i_0_1820,i_0_1940,i_0_521,i_0_1811,i_0_1855,i_0_1893,i_0_1924,i_0_1909,i_0_1869,i_0_1812,i_0_1791,i_0_1765,i_0_1766,i_0_1806,i_0_1834,i_0_1828,i_0_1830,i_0_1832,i_0_1922,i_0_1938,i_0_1929,i_0_1901,i_0_1844,i_0_1838,i_0_573,i_0_575,i_0_390,i_0_389,i_0_387,i_0_388,i_0_386,i_0_391,i_0_383,i_0_385,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_357,i_0_358,i_0_353,i_0_354,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_394,i_0_420,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_280,i_0_290,i_0_414,i_0_425,i_0_413,i_0_415,i_0_416,i_0_417,i_0_418,i_0_395,i_0_412,i_0_411,i_0_279,i_0_434,i_0_424,i_0_268,i_0_240,i_0_241,i_0_242,i_0_243,i_0_285,i_0_286,i_0_232,i_0_233,i_0_273,i_0_213,i_0_214,i_0_246,i_0_284,i_0_203,i_0_302,i_0_451,i_0_450,i_0_217,i_0_218,i_0_238,i_0_239,i_0_254,i_0_255,i_0_443,i_0_212,i_0_230,i_0_231,i_0_229,i_0_206,i_0_210,i_0_211,i_0_209,i_0_205,i_0_442,i_0_374]) ).
cnf(i_0_2131,plain,
memberP(esk51_0,esk52_0),
inference(scs_inference,[],[i_0_365,i_0_502,i_0_504,i_0_506,i_0_1805,i_0_1852,i_0_1859,i_0_1779,i_0_1781,i_0_1783,i_0_1816,i_0_1818,i_0_1820,i_0_1940,i_0_521,i_0_1811,i_0_1855,i_0_1893,i_0_1924,i_0_1909,i_0_1869,i_0_1812,i_0_1791,i_0_1765,i_0_1766,i_0_1806,i_0_1834,i_0_1828,i_0_1830,i_0_1832,i_0_1922,i_0_1938,i_0_1929,i_0_1901,i_0_1844,i_0_1838,i_0_573,i_0_575,i_0_390,i_0_389,i_0_387,i_0_388,i_0_386,i_0_391,i_0_383,i_0_385,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_357,i_0_358,i_0_353,i_0_354,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_394,i_0_420,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_280,i_0_290,i_0_414,i_0_425,i_0_413,i_0_415,i_0_416,i_0_417,i_0_418,i_0_395,i_0_412,i_0_411,i_0_279,i_0_434,i_0_424,i_0_268,i_0_240,i_0_241,i_0_242,i_0_243,i_0_285,i_0_286,i_0_232,i_0_233,i_0_273,i_0_213,i_0_214,i_0_246,i_0_284,i_0_203,i_0_302,i_0_451,i_0_450,i_0_217,i_0_218,i_0_238,i_0_239,i_0_254,i_0_255,i_0_443,i_0_212,i_0_230,i_0_231,i_0_229,i_0_206,i_0_210,i_0_211,i_0_209,i_0_205,i_0_442,i_0_374,i_0_368]) ).
cnf(i_0_2132,plain,
cons(esk52_0,nil) = esk50_0,
inference(scs_inference,[],[i_0_365,i_0_502,i_0_504,i_0_506,i_0_1805,i_0_1852,i_0_1859,i_0_1779,i_0_1781,i_0_1783,i_0_1816,i_0_1818,i_0_1820,i_0_1940,i_0_521,i_0_1811,i_0_1855,i_0_1893,i_0_1924,i_0_1909,i_0_1869,i_0_1812,i_0_1791,i_0_1765,i_0_1766,i_0_1806,i_0_1834,i_0_1828,i_0_1830,i_0_1832,i_0_1922,i_0_1938,i_0_1929,i_0_1901,i_0_1844,i_0_1838,i_0_573,i_0_575,i_0_390,i_0_389,i_0_387,i_0_388,i_0_386,i_0_391,i_0_383,i_0_385,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_357,i_0_358,i_0_353,i_0_354,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_394,i_0_420,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_280,i_0_290,i_0_414,i_0_425,i_0_413,i_0_415,i_0_416,i_0_417,i_0_418,i_0_395,i_0_412,i_0_411,i_0_279,i_0_434,i_0_424,i_0_268,i_0_240,i_0_241,i_0_242,i_0_243,i_0_285,i_0_286,i_0_232,i_0_233,i_0_273,i_0_213,i_0_214,i_0_246,i_0_284,i_0_203,i_0_302,i_0_451,i_0_450,i_0_217,i_0_218,i_0_238,i_0_239,i_0_254,i_0_255,i_0_443,i_0_212,i_0_230,i_0_231,i_0_229,i_0_206,i_0_210,i_0_211,i_0_209,i_0_205,i_0_442,i_0_374,i_0_368,i_0_370]) ).
cnf(i_0_2133,plain,
~ neq(nil,app(esk7_2(nil,nil),nil)),
inference(scs_inference,[],[i_0_365,i_0_502,i_0_504,i_0_506,i_0_1805,i_0_1852,i_0_1859,i_0_1779,i_0_1781,i_0_1783,i_0_1816,i_0_1818,i_0_1820,i_0_1940,i_0_521,i_0_1811,i_0_1855,i_0_1893,i_0_1924,i_0_1909,i_0_1869,i_0_1812,i_0_1791,i_0_1765,i_0_1766,i_0_1806,i_0_1834,i_0_1828,i_0_1830,i_0_1832,i_0_1922,i_0_1938,i_0_1929,i_0_1901,i_0_1844,i_0_1838,i_0_573,i_0_575,i_0_390,i_0_389,i_0_387,i_0_388,i_0_386,i_0_391,i_0_383,i_0_385,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_357,i_0_358,i_0_353,i_0_354,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_394,i_0_420,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_280,i_0_290,i_0_414,i_0_425,i_0_413,i_0_415,i_0_416,i_0_417,i_0_418,i_0_395,i_0_412,i_0_411,i_0_279,i_0_434,i_0_424,i_0_268,i_0_240,i_0_241,i_0_242,i_0_243,i_0_285,i_0_286,i_0_232,i_0_233,i_0_273,i_0_213,i_0_214,i_0_246,i_0_284,i_0_203,i_0_302,i_0_451,i_0_450,i_0_217,i_0_218,i_0_238,i_0_239,i_0_254,i_0_255,i_0_443,i_0_212,i_0_230,i_0_231,i_0_229,i_0_206,i_0_210,i_0_211,i_0_209,i_0_205,i_0_442,i_0_374,i_0_368,i_0_370,i_0_581]) ).
cnf(i_0_2135,plain,
neq(app(cons(esk1_0,nil),nil),app(nil,nil)),
inference(scs_inference,[],[i_0_365,i_0_502,i_0_504,i_0_506,i_0_1805,i_0_1852,i_0_1859,i_0_1779,i_0_1781,i_0_1783,i_0_1816,i_0_1818,i_0_1820,i_0_1940,i_0_521,i_0_1811,i_0_1855,i_0_1893,i_0_1924,i_0_1909,i_0_1869,i_0_1812,i_0_1791,i_0_1765,i_0_1766,i_0_1806,i_0_1834,i_0_1828,i_0_1830,i_0_1832,i_0_1922,i_0_1938,i_0_1929,i_0_1901,i_0_1844,i_0_1838,i_0_508,i_0_573,i_0_575,i_0_390,i_0_389,i_0_387,i_0_388,i_0_386,i_0_391,i_0_383,i_0_385,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_357,i_0_358,i_0_353,i_0_354,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_394,i_0_420,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_280,i_0_290,i_0_414,i_0_425,i_0_413,i_0_415,i_0_416,i_0_417,i_0_418,i_0_395,i_0_412,i_0_411,i_0_279,i_0_434,i_0_424,i_0_268,i_0_240,i_0_241,i_0_242,i_0_243,i_0_285,i_0_286,i_0_232,i_0_233,i_0_273,i_0_213,i_0_214,i_0_246,i_0_284,i_0_203,i_0_302,i_0_451,i_0_450,i_0_217,i_0_218,i_0_238,i_0_239,i_0_254,i_0_255,i_0_443,i_0_212,i_0_230,i_0_231,i_0_229,i_0_206,i_0_210,i_0_211,i_0_209,i_0_205,i_0_442,i_0_374,i_0_368,i_0_370,i_0_581,i_0_421,i_0_423]) ).
cnf(i_0_2136,plain,
memberP(cons(esk46_1(esk49_0),app(nil,nil)),esk46_1(esk49_0)),
inference(scs_inference,[],[i_0_365,i_0_502,i_0_504,i_0_506,i_0_1805,i_0_1852,i_0_1859,i_0_1779,i_0_1781,i_0_1783,i_0_1816,i_0_1818,i_0_1820,i_0_1940,i_0_521,i_0_1811,i_0_1855,i_0_1893,i_0_1924,i_0_1909,i_0_1869,i_0_1812,i_0_1791,i_0_1765,i_0_1766,i_0_1806,i_0_1834,i_0_1828,i_0_1830,i_0_1832,i_0_1922,i_0_1938,i_0_1929,i_0_1901,i_0_1844,i_0_1838,i_0_508,i_0_573,i_0_575,i_0_390,i_0_389,i_0_387,i_0_388,i_0_386,i_0_391,i_0_383,i_0_385,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_357,i_0_358,i_0_353,i_0_354,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_394,i_0_420,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_280,i_0_290,i_0_414,i_0_425,i_0_413,i_0_415,i_0_416,i_0_417,i_0_418,i_0_395,i_0_412,i_0_411,i_0_279,i_0_434,i_0_424,i_0_268,i_0_240,i_0_241,i_0_242,i_0_243,i_0_285,i_0_286,i_0_232,i_0_233,i_0_273,i_0_213,i_0_214,i_0_246,i_0_284,i_0_203,i_0_302,i_0_451,i_0_450,i_0_217,i_0_218,i_0_238,i_0_239,i_0_254,i_0_255,i_0_443,i_0_212,i_0_230,i_0_231,i_0_229,i_0_206,i_0_210,i_0_211,i_0_209,i_0_205,i_0_442,i_0_374,i_0_368,i_0_370,i_0_581,i_0_421,i_0_423,i_0_449]) ).
cnf(i_0_2153,plain,
geq(esk1_0,esk1_0),
inference(equality_inference,[],[2134]) ).
cnf(i_0_2155,plain,
~ lt(esk52_0,esk52_0),
inference(scs_inference,[],[i_0_2130,i_0_304]) ).
cnf(i_0_2157,plain,
~ memberP(nil,esk52_0),
inference(scs_inference,[],[i_0_2130,i_0_304,i_0_308]) ).
cnf(i_0_2159,plain,
equalelemsP(cons(esk52_0,nil)),
inference(scs_inference,[],[i_0_2130,i_0_304,i_0_308,i_0_293]) ).
cnf(i_0_2161,plain,
duplicatefreeP(cons(esk52_0,nil)),
inference(scs_inference,[],[i_0_2130,i_0_304,i_0_308,i_0_293,i_0_294]) ).
cnf(i_0_2163,plain,
strictorderedP(cons(esk52_0,nil)),
inference(scs_inference,[],[i_0_2130,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295]) ).
cnf(i_0_2165,plain,
totalorderedP(cons(esk52_0,nil)),
inference(scs_inference,[],[i_0_2130,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296]) ).
cnf(i_0_2167,plain,
strictorderP(cons(esk52_0,nil)),
inference(scs_inference,[],[i_0_2130,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297]) ).
cnf(i_0_2169,plain,
totalorderP(cons(esk52_0,nil)),
inference(scs_inference,[],[i_0_2130,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_2171,plain,
cyclefreeP(cons(esk52_0,nil)),
inference(scs_inference,[],[i_0_2130,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_2173,plain,
segmentP(esk9_2(nil,nil),nil),
inference(scs_inference,[],[i_0_2130,i_0_2062,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_2175,plain,
app(nil,esk9_2(nil,nil)) = esk9_2(nil,nil),
inference(scs_inference,[],[i_0_2130,i_0_2062,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_2177,plain,
app(esk9_2(nil,nil),nil) = esk9_2(nil,nil),
inference(scs_inference,[],[i_0_2130,i_0_2062,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_2179,plain,
rearsegP(esk9_2(nil,nil),nil),
inference(scs_inference,[],[i_0_2130,i_0_2062,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_2181,plain,
frontsegP(esk9_2(nil,nil),nil),
inference(scs_inference,[],[i_0_2130,i_0_2062,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_2183,plain,
app(app(esk50_0,esk50_0),X1) = app(app(esk48_0,esk48_0),X1),
inference(scs_inference,[],[i_0_2130,i_0_2051,i_0_2062,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_396]) ).
cnf(i_0_2184,plain,
app(X1,app(esk50_0,esk50_0)) = app(X1,app(esk48_0,esk48_0)),
inference(scs_inference,[],[i_0_2130,i_0_2051,i_0_2062,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_396,i_0_397]) ).
cnf(i_0_2185,plain,
cons(app(esk50_0,esk50_0),X1) = cons(app(esk48_0,esk48_0),X1),
inference(scs_inference,[],[i_0_2130,i_0_2051,i_0_2062,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_396,i_0_397,i_0_398]) ).
cnf(i_0_2186,plain,
cons(X1,app(esk50_0,esk50_0)) = cons(X1,app(esk48_0,esk48_0)),
inference(scs_inference,[],[i_0_2130,i_0_2051,i_0_2062,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_396,i_0_397,i_0_398,i_0_399]) ).
cnf(i_0_2187,plain,
esk40_1(app(esk50_0,esk50_0)) = esk40_1(app(esk48_0,esk48_0)),
inference(scs_inference,[],[i_0_2130,i_0_2051,i_0_2062,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_396,i_0_397,i_0_398,i_0_399,i_0_400]) ).
cnf(i_0_2188,plain,
esk41_1(app(esk50_0,esk50_0)) = esk41_1(app(esk48_0,esk48_0)),
inference(scs_inference,[],[i_0_2130,i_0_2051,i_0_2062,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401]) ).
cnf(i_0_2189,plain,
esk35_1(app(esk50_0,esk50_0)) = esk35_1(app(esk48_0,esk48_0)),
inference(scs_inference,[],[i_0_2130,i_0_2051,i_0_2062,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402]) ).
cnf(i_0_2190,plain,
hd(app(esk50_0,esk50_0)) = hd(app(esk48_0,esk48_0)),
inference(scs_inference,[],[i_0_2130,i_0_2051,i_0_2062,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403]) ).
cnf(i_0_2191,plain,
tl(app(esk50_0,esk50_0)) = tl(app(esk48_0,esk48_0)),
inference(scs_inference,[],[i_0_2130,i_0_2051,i_0_2062,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404]) ).
cnf(i_0_2192,plain,
esk47_1(app(esk50_0,esk50_0)) = esk47_1(app(esk48_0,esk48_0)),
inference(scs_inference,[],[i_0_2130,i_0_2051,i_0_2062,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405]) ).
cnf(i_0_2193,plain,
esk46_1(app(esk50_0,esk50_0)) = esk46_1(app(esk48_0,esk48_0)),
inference(scs_inference,[],[i_0_2130,i_0_2051,i_0_2062,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406]) ).
cnf(i_0_2194,plain,
esk36_1(app(esk50_0,esk50_0)) = esk36_1(app(esk48_0,esk48_0)),
inference(scs_inference,[],[i_0_2130,i_0_2051,i_0_2062,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407]) ).
cnf(i_0_2195,plain,
~ neq(nil,app(app(esk8_2(nil,nil),nil),esk9_2(nil,nil))),
inference(scs_inference,[],[i_0_2130,i_0_2051,i_0_2062,i_0_2088,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_581]) ).
cnf(i_0_2196,plain,
cons(esk2_0,nil) != cons(esk1_0,nil),
inference(scs_inference,[],[i_0_2130,i_0_2051,i_0_2062,i_0_1956,i_0_2088,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_581,i_0_394]) ).
cnf(i_0_2197,plain,
ssItem(esk5_1(app(cons(esk1_0,nil),nil))),
inference(scs_inference,[],[i_0_2130,i_0_2051,i_0_2062,i_0_1956,i_0_2045,i_0_2088,i_0_1929,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_581,i_0_394,i_0_309]) ).
cnf(i_0_2199,plain,
cons(esk5_1(app(cons(esk1_0,nil),nil)),nil) = app(cons(esk1_0,nil),nil),
inference(scs_inference,[],[i_0_2130,i_0_2051,i_0_2062,i_0_1956,i_0_2045,i_0_2088,i_0_1929,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_581,i_0_394,i_0_309,i_0_300]) ).
cnf(i_0_2201,plain,
cons(esk52_0,esk9_2(nil,nil)) != esk9_2(nil,nil),
inference(scs_inference,[],[i_0_2130,i_0_2051,i_0_2062,i_0_1956,i_0_2045,i_0_2088,i_0_1929,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_581,i_0_394,i_0_309,i_0_300,i_0_289]) ).
cnf(i_0_2203,plain,
~ segmentP(nil,cons(esk46_1(esk49_0),app(nil,nil))),
inference(scs_inference,[],[i_0_2130,i_0_2051,i_0_2062,i_0_1956,i_0_2045,i_0_2040,i_0_2042,i_0_2088,i_0_1929,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_581,i_0_394,i_0_309,i_0_300,i_0_289,i_0_305]) ).
cnf(i_0_2205,plain,
~ rearsegP(nil,cons(esk46_1(esk49_0),app(nil,nil))),
inference(scs_inference,[],[i_0_2130,i_0_2051,i_0_2062,i_0_1956,i_0_2045,i_0_2040,i_0_2042,i_0_2088,i_0_1929,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_581,i_0_394,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306]) ).
cnf(i_0_2207,plain,
~ frontsegP(nil,esk51_0),
inference(scs_inference,[],[i_0_2004,i_0_2130,i_0_2051,i_0_2062,i_0_1956,i_0_2045,i_0_2040,i_0_2042,i_0_2088,i_0_1929,i_0_383,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_581,i_0_394,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,i_0_307]) ).
cnf(i_0_2209,plain,
ssList(esk47_1(esk51_0)),
inference(scs_inference,[],[i_0_2004,i_0_2130,i_0_2051,i_0_2062,i_0_1956,i_0_2045,i_0_2040,i_0_2042,i_0_2088,i_0_1929,i_0_383,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_581,i_0_394,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,i_0_307,i_0_359]) ).
cnf(i_0_2211,plain,
ssList(esk44_1(esk51_0)),
inference(scs_inference,[],[i_0_2004,i_0_2130,i_0_2051,i_0_2062,i_0_1956,i_0_2045,i_0_2040,i_0_2042,i_0_2088,i_0_1929,i_0_383,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_581,i_0_394,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,i_0_307,i_0_359,i_0_360]) ).
cnf(i_0_2213,plain,
ssList(tl(esk51_0)),
inference(scs_inference,[],[i_0_2004,i_0_2130,i_0_2051,i_0_2062,i_0_1956,i_0_2045,i_0_2040,i_0_2042,i_0_2088,i_0_1929,i_0_383,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_581,i_0_394,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,i_0_307,i_0_359,i_0_360,i_0_361]) ).
cnf(i_0_2215,plain,
ssItem(esk46_1(esk51_0)),
inference(scs_inference,[],[i_0_2004,i_0_2130,i_0_2051,i_0_2062,i_0_1956,i_0_2045,i_0_2040,i_0_2042,i_0_2088,i_0_1929,i_0_383,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_581,i_0_394,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362]) ).
cnf(i_0_2217,plain,
ssItem(esk45_1(esk51_0)),
inference(scs_inference,[],[i_0_2004,i_0_2130,i_0_2051,i_0_2062,i_0_1956,i_0_2045,i_0_2040,i_0_2042,i_0_2088,i_0_1929,i_0_383,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_581,i_0_394,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363]) ).
cnf(i_0_2219,plain,
ssItem(hd(esk51_0)),
inference(scs_inference,[],[i_0_2004,i_0_2130,i_0_2051,i_0_2062,i_0_1956,i_0_2045,i_0_2040,i_0_2042,i_0_2088,i_0_1929,i_0_383,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_581,i_0_394,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364]) ).
cnf(i_0_2221,plain,
tl(cons(esk52_0,esk9_2(nil,nil))) = esk9_2(nil,nil),
inference(scs_inference,[],[i_0_2004,i_0_2130,i_0_2051,i_0_2062,i_0_1956,i_0_2045,i_0_2040,i_0_2042,i_0_2088,i_0_1929,i_0_383,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_581,i_0_394,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_2223,plain,
hd(cons(esk52_0,esk9_2(nil,nil))) = esk52_0,
inference(scs_inference,[],[i_0_2004,i_0_2130,i_0_2051,i_0_2062,i_0_1956,i_0_2045,i_0_2040,i_0_2042,i_0_2088,i_0_1929,i_0_383,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_581,i_0_394,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_2225,plain,
cons(esk45_1(esk51_0),esk44_1(esk51_0)) = esk51_0,
inference(scs_inference,[],[i_0_2004,i_0_2130,i_0_2051,i_0_2062,i_0_1956,i_0_2045,i_0_2040,i_0_2042,i_0_2088,i_0_1929,i_0_383,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_581,i_0_394,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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]) ).
cnf(i_0_2227,plain,
cons(hd(esk51_0),tl(esk51_0)) = esk51_0,
inference(scs_inference,[],[i_0_2004,i_0_2130,i_0_2051,i_0_2062,i_0_1956,i_0_2045,i_0_2040,i_0_2042,i_0_2088,i_0_1929,i_0_383,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_581,i_0_394,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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]) ).
cnf(i_0_2229,plain,
cons(esk52_0,esk9_2(nil,nil)) = app(cons(esk52_0,nil),esk9_2(nil,nil)),
inference(scs_inference,[],[i_0_2004,i_0_2130,i_0_2051,i_0_2062,i_0_1956,i_0_2045,i_0_2040,i_0_2042,i_0_2088,i_0_1929,i_0_383,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_581,i_0_394,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248]) ).
cnf(i_0_2231,plain,
nil != cons(esk52_0,esk9_2(nil,nil)),
inference(scs_inference,[],[i_0_2004,i_0_2130,i_0_2051,i_0_2062,i_0_1956,i_0_2045,i_0_2040,i_0_2042,i_0_2088,i_0_1929,i_0_383,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_581,i_0_394,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_290]) ).
cnf(i_0_2233,plain,
ssList(cons(esk52_0,esk9_2(nil,nil))),
inference(scs_inference,[],[i_0_2004,i_0_2130,i_0_2051,i_0_2062,i_0_1956,i_0_2045,i_0_2040,i_0_2042,i_0_2088,i_0_1929,i_0_383,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_581,i_0_394,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_290,i_0_280]) ).
cnf(i_0_2235,plain,
~ memberP(app(app(nil,nil),nil),esk46_1(esk49_0)),
inference(scs_inference,[],[i_0_2004,i_0_2130,i_0_2051,i_0_2062,i_0_1956,i_0_2124,i_0_1990,i_0_2045,i_0_2040,i_0_2042,i_0_2088,i_0_1929,i_0_383,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_581,i_0_394,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_290,i_0_280,i_0_413]) ).
cnf(i_0_2236,plain,
frontsegP(cons(esk2_0,esk48_0),cons(esk2_0,esk50_0)),
inference(scs_inference,[],[i_0_2004,i_0_2130,i_0_2051,i_0_2062,i_0_1956,i_0_1768,i_0_2124,i_0_1990,i_0_2045,i_0_2040,i_0_2042,i_0_2088,i_0_562,i_0_1929,i_0_383,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_581,i_0_394,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_290,i_0_280,i_0_413,i_0_415]) ).
cnf(i_0_2238,plain,
frontsegP(cons(esk2_0,esk50_0),cons(esk2_0,esk48_0)),
inference(scs_inference,[],[i_0_2004,i_0_2130,i_0_2051,i_0_2062,i_0_1956,i_0_1768,i_0_2237,i_0_2124,i_0_1990,i_0_2045,i_0_2040,i_0_2042,i_0_2088,i_0_562,i_0_1929,i_0_383,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_581,i_0_394,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_290,i_0_280,i_0_413,i_0_415,i_0_416]) ).
cnf(i_0_2240,plain,
~ rearsegP(tl(cons(esk1_0,nil)),esk51_0),
inference(scs_inference,[],[i_0_2004,i_0_2112,i_0_2130,i_0_2051,i_0_2062,i_0_1956,i_0_1768,i_0_2237,i_0_2124,i_0_1990,i_0_2045,i_0_2040,i_0_1836,i_0_2042,i_0_2088,i_0_562,i_0_1929,i_0_383,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_581,i_0_394,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_290,i_0_280,i_0_413,i_0_415,i_0_416,i_0_417]) ).
cnf(i_0_2241,plain,
~ rearsegP(nil,cons(esk45_1(esk49_0),esk44_1(esk49_0))),
inference(scs_inference,[],[i_0_2004,i_0_2112,i_0_2130,i_0_2051,i_0_2062,i_0_1956,i_0_1768,i_0_2237,i_0_2124,i_0_1990,i_0_2045,i_0_2040,i_0_1836,i_0_2042,i_0_1840,i_0_2088,i_0_562,i_0_1818,i_0_1929,i_0_383,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_581,i_0_394,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_290,i_0_280,i_0_413,i_0_415,i_0_416,i_0_417,i_0_418]) ).
cnf(i_0_2242,plain,
~ singletonP(app(app(nil,nil),nil)),
inference(scs_inference,[],[i_0_2004,i_0_2112,i_0_2130,i_0_2051,i_0_2062,i_0_1956,i_0_1768,i_0_2237,i_0_2124,i_0_1990,i_0_2045,i_0_2040,i_0_1836,i_0_2042,i_0_1840,i_0_2088,i_0_562,i_0_1811,i_0_1818,i_0_1929,i_0_383,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_581,i_0_394,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_290,i_0_280,i_0_413,i_0_415,i_0_416,i_0_417,i_0_418,i_0_425]) ).
cnf(i_0_2243,plain,
ssList(app(esk9_2(nil,nil),esk9_2(nil,nil))),
inference(scs_inference,[],[i_0_2004,i_0_2112,i_0_2130,i_0_2051,i_0_2062,i_0_1956,i_0_1768,i_0_2237,i_0_2124,i_0_1990,i_0_2045,i_0_2040,i_0_1836,i_0_2042,i_0_1840,i_0_2088,i_0_562,i_0_1811,i_0_1818,i_0_1929,i_0_383,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_581,i_0_394,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_290,i_0_280,i_0_413,i_0_415,i_0_416,i_0_417,i_0_418,i_0_425,i_0_279]) ).
cnf(i_0_2245,plain,
nil != app(esk7_2(esk51_0,esk51_0),esk51_0),
inference(scs_inference,[],[i_0_2004,i_0_2112,i_0_2130,i_0_2051,i_0_2062,i_0_1956,i_0_1768,i_0_2237,i_0_2124,i_0_1990,i_0_2045,i_0_2040,i_0_1836,i_0_2042,i_0_1840,i_0_1875,i_0_2088,i_0_562,i_0_1811,i_0_1818,i_0_1929,i_0_383,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_581,i_0_394,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_290,i_0_280,i_0_413,i_0_415,i_0_416,i_0_417,i_0_418,i_0_425,i_0_279,i_0_395]) ).
cnf(i_0_2246,plain,
~ segmentP(esk49_0,app(esk48_0,nil)),
inference(scs_inference,[],[i_0_365,i_0_2004,i_0_2112,i_0_2130,i_0_2051,i_0_2062,i_0_1956,i_0_1768,i_0_2237,i_0_2124,i_0_1803,i_0_1990,i_0_2045,i_0_2040,i_0_1836,i_0_2042,i_0_1840,i_0_1875,i_0_2088,i_0_562,i_0_1811,i_0_1818,i_0_1929,i_0_383,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_581,i_0_394,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_290,i_0_280,i_0_413,i_0_415,i_0_416,i_0_417,i_0_418,i_0_425,i_0_279,i_0_395,i_0_412]) ).
cnf(i_0_2247,plain,
~ segmentP(tl(cons(esk1_0,nil)),esk51_0),
inference(scs_inference,[],[i_0_365,i_0_2004,i_0_2112,i_0_2116,i_0_2130,i_0_2051,i_0_2062,i_0_1956,i_0_1768,i_0_2237,i_0_2124,i_0_1803,i_0_1990,i_0_2045,i_0_2040,i_0_1836,i_0_2042,i_0_1840,i_0_1875,i_0_2088,i_0_562,i_0_1811,i_0_1818,i_0_1929,i_0_383,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_581,i_0_394,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_290,i_0_280,i_0_413,i_0_415,i_0_416,i_0_417,i_0_418,i_0_425,i_0_279,i_0_395,i_0_412,i_0_411]) ).
cnf(i_0_2248,plain,
strictorderedP(esk50_0),
inference(scs_inference,[],[i_0_365,i_0_2004,i_0_2112,i_0_2116,i_0_2130,i_0_2051,i_0_2062,i_0_1956,i_0_1768,i_0_2237,i_0_2124,i_0_1803,i_0_2132,i_0_1990,i_0_2045,i_0_2040,i_0_1836,i_0_2042,i_0_1840,i_0_1875,i_0_2088,i_0_562,i_0_1811,i_0_1818,i_0_1929,i_0_383,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_581,i_0_394,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_290,i_0_280,i_0_413,i_0_415,i_0_416,i_0_417,i_0_418,i_0_425,i_0_279,i_0_395,i_0_412,i_0_411,i_0_434]) ).
cnf(i_0_2249,plain,
neq(cons(esk1_0,nil),nil),
inference(scs_inference,[],[i_0_365,i_0_2004,i_0_2112,i_0_2116,i_0_2130,i_0_2051,i_0_2062,i_0_2090,i_0_1956,i_0_1768,i_0_2237,i_0_1801,i_0_2124,i_0_1803,i_0_2132,i_0_1990,i_0_2045,i_0_2040,i_0_1836,i_0_2042,i_0_1840,i_0_1875,i_0_2088,i_0_562,i_0_1811,i_0_1818,i_0_1929,i_0_383,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_581,i_0_394,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_290,i_0_280,i_0_413,i_0_415,i_0_416,i_0_417,i_0_418,i_0_425,i_0_279,i_0_395,i_0_412,i_0_411,i_0_434,i_0_424]) ).
cnf(i_0_2250,plain,
~ neq(app(nil,nil),app(nil,nil)),
inference(scs_inference,[],[i_0_365,i_0_2004,i_0_2112,i_0_2116,i_0_2130,i_0_2051,i_0_2062,i_0_2090,i_0_1956,i_0_1857,i_0_1768,i_0_2237,i_0_1801,i_0_2124,i_0_1803,i_0_2132,i_0_1990,i_0_2045,i_0_2040,i_0_1836,i_0_2042,i_0_1840,i_0_1875,i_0_2088,i_0_562,i_0_1811,i_0_1818,i_0_1929,i_0_383,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_581,i_0_394,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_290,i_0_280,i_0_413,i_0_415,i_0_416,i_0_417,i_0_418,i_0_425,i_0_279,i_0_395,i_0_412,i_0_411,i_0_434,i_0_424,i_0_423]) ).
cnf(i_0_2251,plain,
ssList(esk4_2(esk51_0,esk52_0)),
inference(scs_inference,[],[i_0_365,i_0_2004,i_0_2131,i_0_2112,i_0_2116,i_0_2130,i_0_2051,i_0_2062,i_0_2090,i_0_1956,i_0_1857,i_0_1768,i_0_2237,i_0_1801,i_0_2124,i_0_1803,i_0_2132,i_0_1990,i_0_2045,i_0_2040,i_0_1836,i_0_2042,i_0_1840,i_0_1875,i_0_2088,i_0_562,i_0_1811,i_0_1818,i_0_1929,i_0_383,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_581,i_0_394,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_290,i_0_280,i_0_413,i_0_415,i_0_416,i_0_417,i_0_418,i_0_425,i_0_279,i_0_395,i_0_412,i_0_411,i_0_434,i_0_424,i_0_423,i_0_244]) ).
cnf(i_0_2253,plain,
ssList(esk3_2(esk51_0,esk52_0)),
inference(scs_inference,[],[i_0_365,i_0_2004,i_0_2131,i_0_2112,i_0_2116,i_0_2130,i_0_2051,i_0_2062,i_0_2090,i_0_1956,i_0_1857,i_0_1768,i_0_2237,i_0_1801,i_0_2124,i_0_1803,i_0_2132,i_0_1990,i_0_2045,i_0_2040,i_0_1836,i_0_2042,i_0_1840,i_0_1875,i_0_2088,i_0_562,i_0_1811,i_0_1818,i_0_1929,i_0_383,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_581,i_0_394,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_290,i_0_280,i_0_413,i_0_415,i_0_416,i_0_417,i_0_418,i_0_425,i_0_279,i_0_395,i_0_412,i_0_411,i_0_434,i_0_424,i_0_423,i_0_244,i_0_245]) ).
cnf(i_0_2255,plain,
app(esk3_2(esk51_0,esk52_0),cons(esk52_0,esk4_2(esk51_0,esk52_0))) = esk51_0,
inference(scs_inference,[],[i_0_365,i_0_2004,i_0_2131,i_0_2112,i_0_2116,i_0_2130,i_0_2051,i_0_2062,i_0_2090,i_0_1956,i_0_1857,i_0_1768,i_0_2237,i_0_1801,i_0_2124,i_0_1803,i_0_2132,i_0_1990,i_0_2045,i_0_2040,i_0_1836,i_0_2042,i_0_1840,i_0_1875,i_0_2088,i_0_562,i_0_1811,i_0_1818,i_0_1929,i_0_383,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_581,i_0_394,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_290,i_0_280,i_0_413,i_0_415,i_0_416,i_0_417,i_0_418,i_0_425,i_0_279,i_0_395,i_0_412,i_0_411,i_0_434,i_0_424,i_0_423,i_0_244,i_0_245,i_0_204]) ).
cnf(i_0_2257,plain,
~ gt(esk46_1(esk49_0),esk46_1(esk49_0)),
inference(scs_inference,[],[i_0_365,i_0_2004,i_0_2131,i_0_2112,i_0_2116,i_0_2130,i_0_2051,i_0_2062,i_0_2090,i_0_1956,i_0_1857,i_0_1768,i_0_2237,i_0_1801,i_0_2124,i_0_1964,i_0_1803,i_0_2132,i_0_1990,i_0_2045,i_0_2040,i_0_1836,i_0_2042,i_0_1840,i_0_1875,i_0_2088,i_0_562,i_0_1811,i_0_1818,i_0_1929,i_0_1828,i_0_383,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_581,i_0_394,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_290,i_0_280,i_0_413,i_0_415,i_0_416,i_0_417,i_0_418,i_0_425,i_0_279,i_0_395,i_0_412,i_0_411,i_0_434,i_0_424,i_0_423,i_0_244,i_0_245,i_0_204,i_0_268]) ).
cnf(i_0_2259,plain,
ssList(esk9_2(esk48_0,esk48_0)),
inference(scs_inference,[],[i_0_365,i_0_533,i_0_2004,i_0_2131,i_0_2112,i_0_2116,i_0_2130,i_0_2051,i_0_2062,i_0_2090,i_0_1956,i_0_1857,i_0_1768,i_0_2237,i_0_1801,i_0_2124,i_0_1964,i_0_1803,i_0_2132,i_0_1990,i_0_2045,i_0_2040,i_0_1836,i_0_2042,i_0_1840,i_0_1875,i_0_2088,i_0_562,i_0_1811,i_0_1818,i_0_1929,i_0_1828,i_0_386,i_0_383,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_581,i_0_394,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_290,i_0_280,i_0_413,i_0_415,i_0_416,i_0_417,i_0_418,i_0_425,i_0_279,i_0_395,i_0_412,i_0_411,i_0_434,i_0_424,i_0_423,i_0_244,i_0_245,i_0_204,i_0_268,i_0_240]) ).
cnf(i_0_2261,plain,
ssList(esk8_2(esk48_0,esk48_0)),
inference(scs_inference,[],[i_0_365,i_0_533,i_0_2004,i_0_2131,i_0_2112,i_0_2116,i_0_2130,i_0_2051,i_0_2062,i_0_2090,i_0_1956,i_0_1857,i_0_1768,i_0_2237,i_0_1801,i_0_2124,i_0_1964,i_0_1803,i_0_2132,i_0_1990,i_0_2045,i_0_2040,i_0_1836,i_0_2042,i_0_1840,i_0_1875,i_0_2088,i_0_562,i_0_1811,i_0_1818,i_0_1929,i_0_1828,i_0_386,i_0_383,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_581,i_0_394,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_290,i_0_280,i_0_413,i_0_415,i_0_416,i_0_417,i_0_418,i_0_425,i_0_279,i_0_395,i_0_412,i_0_411,i_0_434,i_0_424,i_0_423,i_0_244,i_0_245,i_0_204,i_0_268,i_0_240,i_0_241]) ).
cnf(i_0_2263,plain,
ssList(esk7_2(esk48_0,esk48_0)),
inference(scs_inference,[],[i_0_365,i_0_533,i_0_535,i_0_2004,i_0_2131,i_0_2112,i_0_2116,i_0_2130,i_0_2051,i_0_2062,i_0_2090,i_0_1956,i_0_1857,i_0_1768,i_0_2237,i_0_1801,i_0_2124,i_0_1964,i_0_1803,i_0_2132,i_0_1990,i_0_2045,i_0_2040,i_0_1836,i_0_2042,i_0_1840,i_0_1875,i_0_2088,i_0_562,i_0_1811,i_0_1818,i_0_1929,i_0_1828,i_0_386,i_0_383,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_581,i_0_394,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_290,i_0_280,i_0_413,i_0_415,i_0_416,i_0_417,i_0_418,i_0_425,i_0_279,i_0_395,i_0_412,i_0_411,i_0_434,i_0_424,i_0_423,i_0_244,i_0_245,i_0_204,i_0_268,i_0_240,i_0_241,i_0_242]) ).
cnf(i_0_2265,plain,
ssList(esk6_2(nil,nil)),
inference(scs_inference,[],[i_0_365,i_0_533,i_0_535,i_0_2004,i_0_2131,i_0_2112,i_0_2116,i_0_2130,i_0_2051,i_0_2062,i_0_2090,i_0_1956,i_0_1857,i_0_1768,i_0_2237,i_0_1801,i_0_2124,i_0_1964,i_0_1803,i_0_2132,i_0_1990,i_0_2045,i_0_2040,i_0_1836,i_0_2042,i_0_1840,i_0_1875,i_0_2088,i_0_562,i_0_1811,i_0_577,i_0_1818,i_0_1929,i_0_1828,i_0_387,i_0_386,i_0_383,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_581,i_0_394,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_290,i_0_280,i_0_413,i_0_415,i_0_416,i_0_417,i_0_418,i_0_425,i_0_279,i_0_395,i_0_412,i_0_411,i_0_434,i_0_424,i_0_423,i_0_244,i_0_245,i_0_204,i_0_268,i_0_240,i_0_241,i_0_242,i_0_243]) ).
cnf(i_0_2267,plain,
nil != app(cons(esk46_1(esk49_0),app(nil,nil)),cons(esk46_1(esk49_0),app(nil,nil))),
inference(scs_inference,[],[i_0_365,i_0_533,i_0_535,i_0_2004,i_0_2131,i_0_2112,i_0_2116,i_0_2130,i_0_2051,i_0_2062,i_0_2090,i_0_1956,i_0_1857,i_0_1768,i_0_2237,i_0_1801,i_0_2124,i_0_1964,i_0_1803,i_0_2132,i_0_1990,i_0_2045,i_0_2040,i_0_1836,i_0_2042,i_0_1840,i_0_1875,i_0_2088,i_0_562,i_0_1811,i_0_577,i_0_1818,i_0_1929,i_0_1828,i_0_387,i_0_386,i_0_383,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_581,i_0_394,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_290,i_0_280,i_0_413,i_0_415,i_0_416,i_0_417,i_0_418,i_0_425,i_0_279,i_0_395,i_0_412,i_0_411,i_0_434,i_0_424,i_0_423,i_0_244,i_0_245,i_0_204,i_0_268,i_0_240,i_0_241,i_0_242,i_0_243,i_0_285]) ).
cnf(i_0_2269,plain,
app(esk7_2(esk48_0,esk48_0),esk48_0) = esk48_0,
inference(scs_inference,[],[i_0_365,i_0_533,i_0_535,i_0_2004,i_0_2131,i_0_2112,i_0_2116,i_0_2130,i_0_2051,i_0_2062,i_0_2090,i_0_1956,i_0_1857,i_0_1768,i_0_2237,i_0_1801,i_0_2124,i_0_1964,i_0_1803,i_0_2132,i_0_1990,i_0_2045,i_0_2040,i_0_1836,i_0_2042,i_0_1840,i_0_1875,i_0_2088,i_0_562,i_0_1811,i_0_577,i_0_1818,i_0_1929,i_0_1828,i_0_387,i_0_386,i_0_383,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_581,i_0_394,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_290,i_0_280,i_0_413,i_0_415,i_0_416,i_0_417,i_0_418,i_0_425,i_0_279,i_0_395,i_0_412,i_0_411,i_0_434,i_0_424,i_0_423,i_0_244,i_0_245,i_0_204,i_0_268,i_0_240,i_0_241,i_0_242,i_0_243,i_0_285,i_0_232]) ).
cnf(i_0_2271,plain,
app(nil,esk6_2(nil,nil)) = nil,
inference(scs_inference,[],[i_0_365,i_0_533,i_0_535,i_0_2004,i_0_2131,i_0_2112,i_0_2116,i_0_2130,i_0_2051,i_0_2062,i_0_2090,i_0_1956,i_0_1857,i_0_1768,i_0_2237,i_0_1801,i_0_2124,i_0_1964,i_0_1803,i_0_2132,i_0_1990,i_0_2045,i_0_2040,i_0_1836,i_0_2042,i_0_1840,i_0_1875,i_0_2088,i_0_562,i_0_1811,i_0_577,i_0_1818,i_0_1929,i_0_1828,i_0_387,i_0_386,i_0_383,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_581,i_0_394,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_290,i_0_280,i_0_413,i_0_415,i_0_416,i_0_417,i_0_418,i_0_425,i_0_279,i_0_395,i_0_412,i_0_411,i_0_434,i_0_424,i_0_423,i_0_244,i_0_245,i_0_204,i_0_268,i_0_240,i_0_241,i_0_242,i_0_243,i_0_285,i_0_232,i_0_233]) ).
cnf(i_0_2273,plain,
hd(app(esk51_0,esk9_2(nil,nil))) = hd(esk51_0),
inference(scs_inference,[],[i_0_365,i_0_533,i_0_535,i_0_2004,i_0_2131,i_0_2112,i_0_2116,i_0_2130,i_0_2051,i_0_2062,i_0_2090,i_0_1956,i_0_1857,i_0_1768,i_0_2237,i_0_1801,i_0_2124,i_0_1964,i_0_1803,i_0_2132,i_0_1990,i_0_2045,i_0_2040,i_0_1836,i_0_2042,i_0_1840,i_0_1875,i_0_2088,i_0_562,i_0_1811,i_0_577,i_0_1818,i_0_1929,i_0_1828,i_0_387,i_0_386,i_0_383,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_581,i_0_394,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_290,i_0_280,i_0_413,i_0_415,i_0_416,i_0_417,i_0_418,i_0_425,i_0_279,i_0_395,i_0_412,i_0_411,i_0_434,i_0_424,i_0_423,i_0_244,i_0_245,i_0_204,i_0_268,i_0_240,i_0_241,i_0_242,i_0_243,i_0_285,i_0_232,i_0_233,i_0_273]) ).
cnf(i_0_2279,plain,
tl(app(esk51_0,esk9_2(nil,nil))) = app(tl(esk51_0),esk9_2(nil,nil)),
inference(scs_inference,[],[i_0_365,i_0_533,i_0_535,i_0_2004,i_0_2131,i_0_2112,i_0_2116,i_0_2130,i_0_2051,i_0_2062,i_0_2090,i_0_1956,i_0_1857,i_0_1768,i_0_2237,i_0_1801,i_0_2124,i_0_1964,i_0_1803,i_0_2132,i_0_1990,i_0_2045,i_0_2040,i_0_1836,i_0_2042,i_0_1840,i_0_1875,i_0_2088,i_0_562,i_0_1811,i_0_577,i_0_1818,i_0_1929,i_0_1828,i_0_387,i_0_386,i_0_383,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_581,i_0_394,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_290,i_0_280,i_0_413,i_0_415,i_0_416,i_0_417,i_0_418,i_0_425,i_0_279,i_0_395,i_0_412,i_0_411,i_0_434,i_0_424,i_0_423,i_0_244,i_0_245,i_0_204,i_0_268,i_0_240,i_0_241,i_0_242,i_0_243,i_0_285,i_0_232,i_0_233,i_0_273,i_0_213,i_0_214,i_0_246]) ).
cnf(i_0_2281,plain,
nil != app(esk9_2(nil,nil),esk51_0),
inference(scs_inference,[],[i_0_365,i_0_533,i_0_535,i_0_2004,i_0_2131,i_0_2112,i_0_2116,i_0_2130,i_0_2051,i_0_2062,i_0_2090,i_0_1956,i_0_1857,i_0_1768,i_0_2237,i_0_1801,i_0_2124,i_0_1964,i_0_1803,i_0_2132,i_0_1990,i_0_2045,i_0_2040,i_0_1836,i_0_2042,i_0_1840,i_0_1875,i_0_2088,i_0_562,i_0_1811,i_0_577,i_0_1818,i_0_1929,i_0_1828,i_0_387,i_0_386,i_0_383,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_581,i_0_394,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_290,i_0_280,i_0_413,i_0_415,i_0_416,i_0_417,i_0_418,i_0_425,i_0_279,i_0_395,i_0_412,i_0_411,i_0_434,i_0_424,i_0_423,i_0_244,i_0_245,i_0_204,i_0_268,i_0_240,i_0_241,i_0_242,i_0_243,i_0_285,i_0_232,i_0_233,i_0_273,i_0_213,i_0_214,i_0_246,i_0_286]) ).
cnf(i_0_2283,plain,
app(app(esk8_2(esk48_0,esk48_0),esk48_0),esk9_2(esk48_0,esk48_0)) = esk48_0,
inference(scs_inference,[],[i_0_365,i_0_533,i_0_535,i_0_2004,i_0_2131,i_0_2112,i_0_2116,i_0_2130,i_0_2051,i_0_2062,i_0_2090,i_0_1956,i_0_1857,i_0_1768,i_0_2237,i_0_1801,i_0_2124,i_0_1964,i_0_1803,i_0_2132,i_0_1990,i_0_2045,i_0_2040,i_0_1836,i_0_2042,i_0_1840,i_0_1875,i_0_2088,i_0_562,i_0_1811,i_0_577,i_0_1818,i_0_1929,i_0_1828,i_0_387,i_0_386,i_0_383,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_581,i_0_394,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_290,i_0_280,i_0_413,i_0_415,i_0_416,i_0_417,i_0_418,i_0_425,i_0_279,i_0_395,i_0_412,i_0_411,i_0_434,i_0_424,i_0_423,i_0_244,i_0_245,i_0_204,i_0_268,i_0_240,i_0_241,i_0_242,i_0_243,i_0_285,i_0_232,i_0_233,i_0_273,i_0_213,i_0_214,i_0_246,i_0_286,i_0_203]) ).
cnf(i_0_2285,plain,
rearsegP(app(esk9_2(nil,nil),esk48_0),esk48_0),
inference(scs_inference,[],[i_0_365,i_0_533,i_0_535,i_0_2004,i_0_2131,i_0_2112,i_0_2116,i_0_2130,i_0_2051,i_0_2062,i_0_2090,i_0_1956,i_0_1857,i_0_1768,i_0_2237,i_0_1801,i_0_2124,i_0_1964,i_0_1803,i_0_2132,i_0_1990,i_0_2045,i_0_2040,i_0_1836,i_0_2042,i_0_1840,i_0_1875,i_0_2088,i_0_562,i_0_1811,i_0_577,i_0_1818,i_0_1929,i_0_1828,i_0_387,i_0_386,i_0_383,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_581,i_0_394,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_290,i_0_280,i_0_413,i_0_415,i_0_416,i_0_417,i_0_418,i_0_425,i_0_279,i_0_395,i_0_412,i_0_411,i_0_434,i_0_424,i_0_423,i_0_244,i_0_245,i_0_204,i_0_268,i_0_240,i_0_241,i_0_242,i_0_243,i_0_285,i_0_232,i_0_233,i_0_273,i_0_213,i_0_214,i_0_246,i_0_286,i_0_203,i_0_217]) ).
cnf(i_0_2287,plain,
frontsegP(app(esk48_0,esk9_2(nil,nil)),esk48_0),
inference(scs_inference,[],[i_0_365,i_0_533,i_0_535,i_0_537,i_0_2004,i_0_2131,i_0_2112,i_0_2116,i_0_2130,i_0_2051,i_0_2062,i_0_2090,i_0_1956,i_0_1857,i_0_1768,i_0_2237,i_0_1801,i_0_2124,i_0_1964,i_0_1803,i_0_2132,i_0_1990,i_0_2045,i_0_2040,i_0_1836,i_0_2042,i_0_1840,i_0_1875,i_0_2088,i_0_562,i_0_1811,i_0_577,i_0_1818,i_0_1929,i_0_1828,i_0_387,i_0_386,i_0_383,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_581,i_0_394,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_290,i_0_280,i_0_413,i_0_415,i_0_416,i_0_417,i_0_418,i_0_425,i_0_279,i_0_395,i_0_412,i_0_411,i_0_434,i_0_424,i_0_423,i_0_244,i_0_245,i_0_204,i_0_268,i_0_240,i_0_241,i_0_242,i_0_243,i_0_285,i_0_232,i_0_233,i_0_273,i_0_213,i_0_214,i_0_246,i_0_286,i_0_203,i_0_217,i_0_218]) ).
cnf(i_0_2289,plain,
~ frontsegP(cons(esk1_0,esk9_2(nil,nil)),cons(esk2_0,esk9_2(nil,nil))),
inference(scs_inference,[],[i_0_365,i_0_533,i_0_535,i_0_537,i_0_2004,i_0_2131,i_0_2112,i_0_2116,i_0_2130,i_0_2051,i_0_2062,i_0_2090,i_0_1956,i_0_1857,i_0_1768,i_0_2237,i_0_1801,i_0_2124,i_0_1964,i_0_1803,i_0_2132,i_0_1990,i_0_2045,i_0_2040,i_0_1836,i_0_2042,i_0_1840,i_0_1875,i_0_2088,i_0_562,i_0_1811,i_0_577,i_0_1818,i_0_1929,i_0_390,i_0_1828,i_0_389,i_0_388,i_0_387,i_0_386,i_0_383,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_581,i_0_394,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_290,i_0_280,i_0_413,i_0_415,i_0_416,i_0_417,i_0_418,i_0_425,i_0_279,i_0_395,i_0_412,i_0_411,i_0_434,i_0_424,i_0_423,i_0_244,i_0_245,i_0_204,i_0_268,i_0_240,i_0_241,i_0_242,i_0_243,i_0_285,i_0_232,i_0_233,i_0_273,i_0_213,i_0_214,i_0_246,i_0_286,i_0_203,i_0_217,i_0_218,i_0_207]) ).
cnf(i_0_2291,plain,
cons(esk1_0,esk9_2(nil,nil)) != cons(esk2_0,esk9_2(nil,nil)),
inference(scs_inference,[],[i_0_365,i_0_533,i_0_535,i_0_537,i_0_2004,i_0_2131,i_0_2112,i_0_2116,i_0_2130,i_0_2051,i_0_2062,i_0_2090,i_0_1956,i_0_1857,i_0_1768,i_0_2237,i_0_1801,i_0_2124,i_0_1964,i_0_1803,i_0_2132,i_0_1990,i_0_2045,i_0_2040,i_0_1836,i_0_2042,i_0_1840,i_0_1875,i_0_2088,i_0_562,i_0_1811,i_0_577,i_0_1818,i_0_1929,i_0_390,i_0_1828,i_0_389,i_0_388,i_0_387,i_0_386,i_0_383,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_581,i_0_394,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_290,i_0_280,i_0_413,i_0_415,i_0_416,i_0_417,i_0_418,i_0_425,i_0_279,i_0_395,i_0_412,i_0_411,i_0_434,i_0_424,i_0_423,i_0_244,i_0_245,i_0_204,i_0_268,i_0_240,i_0_241,i_0_242,i_0_243,i_0_285,i_0_232,i_0_233,i_0_273,i_0_213,i_0_214,i_0_246,i_0_286,i_0_203,i_0_217,i_0_218,i_0_207,i_0_234]) ).
cnf(i_0_2293,plain,
cons(esk52_0,esk51_0) != cons(esk52_0,nil),
inference(scs_inference,[],[i_0_365,i_0_533,i_0_535,i_0_537,i_0_2004,i_0_2131,i_0_2112,i_0_2116,i_0_2130,i_0_2051,i_0_2062,i_0_2090,i_0_1956,i_0_1857,i_0_1768,i_0_2237,i_0_1801,i_0_2124,i_0_1964,i_0_1803,i_0_2132,i_0_1990,i_0_2045,i_0_2040,i_0_1836,i_0_2042,i_0_1840,i_0_1875,i_0_2088,i_0_562,i_0_1811,i_0_577,i_0_1818,i_0_1929,i_0_390,i_0_1828,i_0_389,i_0_388,i_0_387,i_0_386,i_0_383,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_581,i_0_394,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_290,i_0_280,i_0_413,i_0_415,i_0_416,i_0_417,i_0_418,i_0_425,i_0_279,i_0_395,i_0_412,i_0_411,i_0_434,i_0_424,i_0_423,i_0_244,i_0_245,i_0_204,i_0_268,i_0_240,i_0_241,i_0_242,i_0_243,i_0_285,i_0_232,i_0_233,i_0_273,i_0_213,i_0_214,i_0_246,i_0_286,i_0_203,i_0_217,i_0_218,i_0_207,i_0_234,i_0_235]) ).
cnf(i_0_2295,plain,
segmentP(app(app(esk9_2(nil,nil),esk48_0),esk9_2(nil,nil)),esk48_0),
inference(scs_inference,[],[i_0_365,i_0_533,i_0_535,i_0_537,i_0_2004,i_0_2131,i_0_2112,i_0_2116,i_0_2130,i_0_2051,i_0_2062,i_0_2090,i_0_1956,i_0_1857,i_0_1768,i_0_2237,i_0_1801,i_0_2124,i_0_1964,i_0_1803,i_0_2132,i_0_1990,i_0_2045,i_0_2040,i_0_1836,i_0_2042,i_0_1840,i_0_1875,i_0_2088,i_0_562,i_0_1811,i_0_577,i_0_1818,i_0_1929,i_0_390,i_0_1828,i_0_389,i_0_388,i_0_387,i_0_386,i_0_383,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_581,i_0_394,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_290,i_0_280,i_0_413,i_0_415,i_0_416,i_0_417,i_0_418,i_0_425,i_0_279,i_0_395,i_0_412,i_0_411,i_0_434,i_0_424,i_0_423,i_0_244,i_0_245,i_0_204,i_0_268,i_0_240,i_0_241,i_0_242,i_0_243,i_0_285,i_0_232,i_0_233,i_0_273,i_0_213,i_0_214,i_0_246,i_0_286,i_0_203,i_0_217,i_0_218,i_0_207,i_0_234,i_0_235,i_0_206]) ).
cnf(i_0_2297,plain,
app(esk9_2(nil,nil),cons(esk46_1(esk49_0),esk9_2(nil,nil))) != nil,
inference(scs_inference,[],[i_0_365,i_0_533,i_0_535,i_0_537,i_0_2004,i_0_2131,i_0_2112,i_0_2116,i_0_2130,i_0_2051,i_0_2062,i_0_2090,i_0_1956,i_0_1857,i_0_1966,i_0_1768,i_0_2237,i_0_1801,i_0_2124,i_0_1964,i_0_1803,i_0_2132,i_0_1990,i_0_2045,i_0_2040,i_0_1836,i_0_2042,i_0_1840,i_0_1875,i_0_2088,i_0_562,i_0_1811,i_0_577,i_0_1818,i_0_1929,i_0_390,i_0_1828,i_0_389,i_0_388,i_0_387,i_0_386,i_0_383,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_581,i_0_394,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_290,i_0_280,i_0_413,i_0_415,i_0_416,i_0_417,i_0_418,i_0_425,i_0_279,i_0_395,i_0_412,i_0_411,i_0_434,i_0_424,i_0_423,i_0_244,i_0_245,i_0_204,i_0_268,i_0_240,i_0_241,i_0_242,i_0_243,i_0_285,i_0_232,i_0_233,i_0_273,i_0_213,i_0_214,i_0_246,i_0_286,i_0_203,i_0_217,i_0_218,i_0_207,i_0_234,i_0_235,i_0_206,i_0_211]) ).
cnf(i_0_2299,plain,
~ memberP(app(nil,nil),esk52_0),
inference(scs_inference,[],[i_0_365,i_0_533,i_0_535,i_0_537,i_0_2004,i_0_2131,i_0_2112,i_0_2116,i_0_2130,i_0_2051,i_0_2062,i_0_2090,i_0_1956,i_0_1857,i_0_1966,i_0_1768,i_0_2237,i_0_1801,i_0_2124,i_0_1964,i_0_1803,i_0_2132,i_0_1990,i_0_2045,i_0_2040,i_0_1836,i_0_2042,i_0_1840,i_0_1875,i_0_2088,i_0_562,i_0_1811,i_0_577,i_0_1818,i_0_1929,i_0_390,i_0_1828,i_0_389,i_0_388,i_0_387,i_0_386,i_0_383,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_581,i_0_394,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_290,i_0_280,i_0_413,i_0_415,i_0_416,i_0_417,i_0_418,i_0_425,i_0_279,i_0_395,i_0_412,i_0_411,i_0_434,i_0_424,i_0_423,i_0_244,i_0_245,i_0_204,i_0_268,i_0_240,i_0_241,i_0_242,i_0_243,i_0_285,i_0_232,i_0_233,i_0_273,i_0_213,i_0_214,i_0_246,i_0_286,i_0_203,i_0_217,i_0_218,i_0_207,i_0_234,i_0_235,i_0_206,i_0_211,i_0_209]) ).
cnf(i_0_2301,plain,
frontsegP(cons(esk52_0,esk48_0),cons(esk52_0,esk48_0)),
inference(scs_inference,[],[i_0_365,i_0_533,i_0_535,i_0_537,i_0_2004,i_0_2131,i_0_2112,i_0_2116,i_0_2130,i_0_2051,i_0_2062,i_0_2090,i_0_1956,i_0_1857,i_0_1966,i_0_1768,i_0_2237,i_0_1801,i_0_2124,i_0_1964,i_0_1803,i_0_2132,i_0_1990,i_0_2045,i_0_2040,i_0_1836,i_0_2042,i_0_1840,i_0_1875,i_0_2088,i_0_562,i_0_1811,i_0_577,i_0_1818,i_0_1929,i_0_390,i_0_1828,i_0_389,i_0_388,i_0_387,i_0_386,i_0_383,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_581,i_0_394,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_290,i_0_280,i_0_413,i_0_415,i_0_416,i_0_417,i_0_418,i_0_425,i_0_279,i_0_395,i_0_412,i_0_411,i_0_434,i_0_424,i_0_423,i_0_244,i_0_245,i_0_204,i_0_268,i_0_240,i_0_241,i_0_242,i_0_243,i_0_285,i_0_232,i_0_233,i_0_273,i_0_213,i_0_214,i_0_246,i_0_286,i_0_203,i_0_217,i_0_218,i_0_207,i_0_234,i_0_235,i_0_206,i_0_211,i_0_209,i_0_442]) ).
cnf(i_0_2308,plain,
~ memberP(nil,hd(app(esk49_0,nil))),
inference(scs_inference,[],[i_0_365,i_0_533,i_0_535,i_0_537,i_0_1936,i_0_2004,i_0_2131,i_0_2112,i_0_2116,i_0_2130,i_0_2051,i_0_2062,i_0_2090,i_0_1956,i_0_1795,i_0_1857,i_0_1966,i_0_1768,i_0_2237,i_0_1801,i_0_2124,i_0_1964,i_0_1803,i_0_2044,i_0_2132,i_0_1990,i_0_1879,i_0_2045,i_0_2040,i_0_1927,i_0_1836,i_0_2042,i_0_1840,i_0_1875,i_0_2088,i_0_562,i_0_1811,i_0_577,i_0_1818,i_0_1929,i_0_510,i_0_390,i_0_1828,i_0_1812,i_0_389,i_0_388,i_0_387,i_0_386,i_0_383,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_581,i_0_394,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_290,i_0_280,i_0_413,i_0_415,i_0_416,i_0_417,i_0_418,i_0_425,i_0_279,i_0_395,i_0_412,i_0_411,i_0_434,i_0_424,i_0_423,i_0_244,i_0_245,i_0_204,i_0_268,i_0_240,i_0_241,i_0_242,i_0_243,i_0_285,i_0_232,i_0_233,i_0_273,i_0_213,i_0_214,i_0_246,i_0_286,i_0_203,i_0_217,i_0_218,i_0_207,i_0_234,i_0_235,i_0_206,i_0_211,i_0_209,i_0_442,i_0_192,i_0_190,i_0_428,i_0_414]) ).
cnf(i_0_2309,plain,
app(cons(esk1_0,nil),nil) != app(nil,nil),
inference(scs_inference,[],[i_0_365,i_0_533,i_0_535,i_0_537,i_0_1936,i_0_2004,i_0_2131,i_0_2112,i_0_2116,i_0_2130,i_0_2051,i_0_2062,i_0_2090,i_0_1956,i_0_1795,i_0_1857,i_0_1966,i_0_1768,i_0_2237,i_0_1801,i_0_2124,i_0_1964,i_0_1803,i_0_2044,i_0_2132,i_0_1990,i_0_2135,i_0_1879,i_0_2045,i_0_2040,i_0_1927,i_0_1836,i_0_2042,i_0_1840,i_0_1875,i_0_2088,i_0_562,i_0_1811,i_0_577,i_0_1818,i_0_1929,i_0_510,i_0_390,i_0_1828,i_0_1812,i_0_1855,i_0_389,i_0_388,i_0_387,i_0_386,i_0_383,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407,i_0_581,i_0_394,i_0_309,i_0_300,i_0_289,i_0_305,i_0_306,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_248,i_0_290,i_0_280,i_0_413,i_0_415,i_0_416,i_0_417,i_0_418,i_0_425,i_0_279,i_0_395,i_0_412,i_0_411,i_0_434,i_0_424,i_0_423,i_0_244,i_0_245,i_0_204,i_0_268,i_0_240,i_0_241,i_0_242,i_0_243,i_0_285,i_0_232,i_0_233,i_0_273,i_0_213,i_0_214,i_0_246,i_0_286,i_0_203,i_0_217,i_0_218,i_0_207,i_0_234,i_0_235,i_0_206,i_0_211,i_0_209,i_0_442,i_0_192,i_0_190,i_0_428,i_0_414,i_0_281]) ).
cnf(i_0_2770,plain,
~ lt(esk5_1(cons(esk1_0,nil)),esk5_1(cons(esk1_0,nil))),
inference(scs_inference,[],[i_0_2006,i_0_304]) ).
cnf(i_0_2772,plain,
~ memberP(nil,esk5_1(cons(esk1_0,nil))),
inference(scs_inference,[],[i_0_2006,i_0_304,i_0_308]) ).
cnf(i_0_2774,plain,
equalelemsP(cons(esk5_1(cons(esk1_0,nil)),nil)),
inference(scs_inference,[],[i_0_2006,i_0_304,i_0_308,i_0_293]) ).
cnf(i_0_2776,plain,
duplicatefreeP(cons(esk5_1(cons(esk1_0,nil)),nil)),
inference(scs_inference,[],[i_0_2006,i_0_304,i_0_308,i_0_293,i_0_294]) ).
cnf(i_0_2778,plain,
strictorderedP(cons(esk5_1(cons(esk1_0,nil)),nil)),
inference(scs_inference,[],[i_0_2006,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295]) ).
cnf(i_0_2780,plain,
totalorderedP(cons(esk5_1(cons(esk1_0,nil)),nil)),
inference(scs_inference,[],[i_0_2006,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296]) ).
cnf(i_0_2782,plain,
strictorderP(cons(esk5_1(cons(esk1_0,nil)),nil)),
inference(scs_inference,[],[i_0_2006,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297]) ).
cnf(i_0_2784,plain,
totalorderP(cons(esk5_1(cons(esk1_0,nil)),nil)),
inference(scs_inference,[],[i_0_2006,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_2786,plain,
cyclefreeP(cons(esk5_1(cons(esk1_0,nil)),nil)),
inference(scs_inference,[],[i_0_2006,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_2788,plain,
segmentP(tl(esk49_0),nil),
inference(scs_inference,[],[i_0_1826,i_0_2006,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_2790,plain,
app(nil,tl(esk49_0)) = tl(esk49_0),
inference(scs_inference,[],[i_0_1826,i_0_2006,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_2792,plain,
app(tl(esk49_0),nil) = tl(esk49_0),
inference(scs_inference,[],[i_0_1826,i_0_2006,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_2794,plain,
rearsegP(tl(esk49_0),nil),
inference(scs_inference,[],[i_0_1826,i_0_2006,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_2796,plain,
frontsegP(tl(esk49_0),nil),
inference(scs_inference,[],[i_0_1826,i_0_2006,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_2798,plain,
app(esk35_1(esk50_0),X1) = app(esk35_1(esk48_0),X1),
inference(scs_inference,[],[i_0_1771,i_0_1826,i_0_2006,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_396]) ).
cnf(i_0_2799,plain,
app(X1,esk35_1(esk50_0)) = app(X1,esk35_1(esk48_0)),
inference(scs_inference,[],[i_0_1771,i_0_1826,i_0_2006,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_396,i_0_397]) ).
cnf(i_0_2800,plain,
cons(esk35_1(esk50_0),X1) = cons(esk35_1(esk48_0),X1),
inference(scs_inference,[],[i_0_1771,i_0_1826,i_0_2006,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_396,i_0_397,i_0_398]) ).
cnf(i_0_2801,plain,
cons(X1,esk35_1(esk50_0)) = cons(X1,esk35_1(esk48_0)),
inference(scs_inference,[],[i_0_1771,i_0_1826,i_0_2006,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_396,i_0_397,i_0_398,i_0_399]) ).
cnf(i_0_2802,plain,
esk40_1(esk35_1(esk50_0)) = esk40_1(esk35_1(esk48_0)),
inference(scs_inference,[],[i_0_1771,i_0_1826,i_0_2006,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_396,i_0_397,i_0_398,i_0_399,i_0_400]) ).
cnf(i_0_2803,plain,
esk41_1(esk35_1(esk50_0)) = esk41_1(esk35_1(esk48_0)),
inference(scs_inference,[],[i_0_1771,i_0_1826,i_0_2006,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401]) ).
cnf(i_0_2804,plain,
esk35_1(esk35_1(esk50_0)) = esk35_1(esk35_1(esk48_0)),
inference(scs_inference,[],[i_0_1771,i_0_1826,i_0_2006,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402]) ).
cnf(i_0_2805,plain,
hd(esk35_1(esk50_0)) = hd(esk35_1(esk48_0)),
inference(scs_inference,[],[i_0_1771,i_0_1826,i_0_2006,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403]) ).
cnf(i_0_2806,plain,
tl(esk35_1(esk50_0)) = tl(esk35_1(esk48_0)),
inference(scs_inference,[],[i_0_1771,i_0_1826,i_0_2006,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404]) ).
cnf(i_0_2807,plain,
esk47_1(esk35_1(esk50_0)) = esk47_1(esk35_1(esk48_0)),
inference(scs_inference,[],[i_0_1771,i_0_1826,i_0_2006,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405]) ).
cnf(i_0_2808,plain,
esk46_1(esk35_1(esk50_0)) = esk46_1(esk35_1(esk48_0)),
inference(scs_inference,[],[i_0_1771,i_0_1826,i_0_2006,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406]) ).
cnf(i_0_2809,plain,
esk36_1(esk35_1(esk50_0)) = esk36_1(esk35_1(esk48_0)),
inference(scs_inference,[],[i_0_1771,i_0_1826,i_0_2006,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_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_404,i_0_405,i_0_406,i_0_407]) ).
cnf(c_0_2300,plain,
cons(esk52_0,nil) = esk50_0,
i_0_2132 ).
cnf(c_0_2301,negated_conjecture,
esk48_0 = esk50_0,
i_0_392 ).
cnf(c_0_2302,plain,
( cons(X1,X2) = app(cons(X1,nil),X2)
| ~ ssList(X2)
| ~ ssItem(X1) ),
i_0_248 ).
cnf(c_0_2303,plain,
cons(esk52_0,nil) = esk48_0,
inference(rw,[status(thm)],[c_0_2300,c_0_2301]) ).
cnf(c_0_2304,plain,
ssItem(esk52_0),
i_0_2130 ).
cnf(c_0_2305,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_2306,plain,
( app(app(X1,X2),X3) = app(X1,app(X2,X3))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
i_0_213 ).
cnf(c_0_2307,plain,
app(esk3_2(esk51_0,esk52_0),cons(esk52_0,esk4_2(esk51_0,esk52_0))) = esk51_0,
i_0_2255 ).
cnf(c_0_2308,plain,
( cons(esk52_0,X1) = app(esk48_0,X1)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2302,c_0_2303]),c_0_2304])]) ).
cnf(c_0_2309,plain,
ssList(esk4_2(esk51_0,esk52_0)),
i_0_2251 ).
cnf(c_0_2310,negated_conjecture,
ssList(esk50_0),
i_0_384 ).
cnf(c_0_2311,plain,
( segmentP(X1,X2)
| ~ ssList(X3)
| ~ ssList(X4)
| app(app(X3,X2),X4) != X1
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_210 ).
cnf(c_0_2312,negated_conjecture,
~ segmentP(esk49_0,esk48_0),
i_0_365 ).
cnf(c_0_2313,negated_conjecture,
esk49_0 = esk51_0,
i_0_391 ).
cnf(c_0_2314,plain,
( segmentP(app(X1,app(X2,X3)),X4)
| ~ segmentP(X2,X4)
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(spm,[status(thm)],[c_0_2305,c_0_2306]) ).
cnf(c_0_2315,plain,
app(esk3_2(esk51_0,esk52_0),app(esk48_0,esk4_2(esk51_0,esk52_0))) = esk51_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2307,c_0_2308]),c_0_2309])]) ).
cnf(c_0_2316,negated_conjecture,
ssList(esk48_0),
inference(rw,[status(thm)],[c_0_2310,c_0_2301]) ).
cnf(c_0_2317,plain,
ssList(esk3_2(esk51_0,esk52_0)),
i_0_2253 ).
cnf(c_0_2318,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_2311]) ).
cnf(c_0_2319,plain,
app(app(esk8_2(esk48_0,esk48_0),esk48_0),esk9_2(esk48_0,esk48_0)) = esk48_0,
i_0_2283 ).
cnf(c_0_2320,plain,
ssList(esk9_2(esk48_0,esk48_0)),
i_0_2259 ).
cnf(c_0_2321,plain,
ssList(esk8_2(esk48_0,esk48_0)),
i_0_2261 ).
cnf(c_0_2322,negated_conjecture,
~ segmentP(esk51_0,esk48_0),
inference(rw,[status(thm)],[c_0_2312,c_0_2313]) ).
cnf(c_0_2323,plain,
( segmentP(esk51_0,X1)
| ~ segmentP(esk48_0,X1)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2314,c_0_2315]),c_0_2309]),c_0_2316]),c_0_2317])]) ).
cnf(c_0_2324,plain,
segmentP(esk48_0,esk48_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2318,c_0_2319]),c_0_2316]),c_0_2320]),c_0_2321])]) ).
cnf(c_0_2325,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2322,c_0_2323]),c_0_2324]),c_0_2316])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC356+1 : TPTP v9.2.1. Released v2.4.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.32 % Computer : n018.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Tue May 5 04:45:32 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.33 % start to proof: theBenchmark
% 202.78/132.88 % Version : CSE_E---1.7
% 202.78/132.88 % Problem : theBenchmark.p
% 202.78/132.88 % SZS status Theorem for theBenchmark.p
% 202.78/132.88 % SZS output start CNFRefutation
% See solution above
% 215.48/145.52 % Total time : 132.135s
%------------------------------------------------------------------------------