%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWC360+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 : n021.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 05:19:20 PM UTC 2026
% Result : Theorem 0.38s 1.62s
% Output : CNFRefutation 0.48s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 189)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ~ neq(X2,nil)
| ~ segmentP(X4,X3)
| ~ totalorderedP(X3)
| ? [X5] :
( ssList(X5)
& neq(X3,X5)
& segmentP(X4,X5)
& segmentP(X5,X3)
& totalorderedP(X5) )
| segmentP(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(ax94,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( gt(X1,X2)
=> ~ gt(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax94) ).
fof(ax33,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( lt(X1,X2)
=> ~ lt(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax33) ).
fof(ax90,axiom,
! [X1] :
( ssItem(X1)
=> ~ lt(X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax90) ).
fof(ax38,axiom,
! [X1] :
( ssItem(X1)
=> ~ memberP(nil,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax38) ).
fof(ax8,axiom,
! [X1] :
( ssList(X1)
=> ( cyclefreeP(X1)
<=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( app(app(X4,cons(X2,X5)),cons(X3,X6)) = X1
=> ~ ( leq(X2,X3)
& leq(X3,X2) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax8) ).
fof(ax10,axiom,
! [X1] :
( ssList(X1)
=> ( strictorderP(X1)
<=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( app(app(X4,cons(X2,X5)),cons(X3,X6)) = X1
=> ( lt(X2,X3)
| lt(X3,X2) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax10) ).
fof(ax9,axiom,
! [X1] :
( ssList(X1)
=> ( totalorderP(X1)
<=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( app(app(X4,cons(X2,X5)),cons(X3,X6)) = X1
=> ( leq(X2,X3)
| leq(X3,X2) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax9) ).
fof(ax12,axiom,
! [X1] :
( ssList(X1)
=> ( strictorderedP(X1)
<=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( app(app(X4,cons(X2,X5)),cons(X3,X6)) = X1
=> lt(X2,X3) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax12) ).
fof(ax11,axiom,
! [X1] :
( ssList(X1)
=> ( totalorderedP(X1)
<=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( app(app(X4,cons(X2,X5)),cons(X3,X6)) = X1
=> leq(X2,X3) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax11) ).
fof(ax13,axiom,
! [X1] :
( ssList(X1)
=> ( duplicatefreeP(X1)
<=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( app(app(X4,cons(X2,X5)),cons(X3,X6)) = X1
=> X2 != X3 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax13) ).
fof(ax14,axiom,
! [X1] :
( ssList(X1)
=> ( equalelemsP(X1)
<=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(X4,cons(X2,cons(X3,X5))) = X1
=> X2 = X3 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax14) ).
fof(ax7,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( segmentP(X1,X2)
<=> ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& app(app(X3,X2),X4) = X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax7) ).
fof(ax3,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> ( memberP(X1,X2)
<=> ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& app(X3,cons(X2,X4)) = X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax3) ).
fof(ax44,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( frontsegP(cons(X1,X3),cons(X2,X4))
<=> ( X1 = X2
& frontsegP(X3,X4) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax44) ).
fof(ax56,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( segmentP(X1,X2)
=> segmentP(app(app(X3,X1),X4),X2) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax56) ).
fof(ax36,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( memberP(app(X2,X3),X1)
<=> ( memberP(X2,X1)
| memberP(X3,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax36) ).
fof(ax37,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ( memberP(cons(X2,X3),X1)
<=> ( X1 = X2
| memberP(X3,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax37) ).
fof(ax82,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> app(app(X1,X2),X3) = app(X1,app(X2,X3)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax82) ).
fof(ax27,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssItem(X3)
=> cons(X3,app(X2,X1)) = app(cons(X3,X2),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax27) ).
fof(ax70,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ( strictorderedP(cons(X1,X2))
<=> ( nil = X2
| ( nil != X2
& strictorderedP(X2)
& lt(X1,hd(X2)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax70) ).
fof(ax67,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ( totalorderedP(cons(X1,X2))
<=> ( nil = X2
| ( nil != X2
& totalorderedP(X2)
& leq(X1,hd(X2)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax67) ).
fof(ax50,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( rearsegP(X1,X2)
=> rearsegP(app(X3,X1),X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax50) ).
fof(ax43,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( frontsegP(X1,X2)
=> frontsegP(app(X1,X3),X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax43) ).
fof(ax95,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ( ( gt(X1,X2)
& gt(X2,X3) )
=> gt(X1,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax95) ).
fof(ax88,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ( ( geq(X1,X2)
& geq(X2,X3) )
=> geq(X1,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax88) ).
fof(ax34,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ( ( lt(X1,X2)
& lt(X2,X3) )
=> lt(X1,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax34) ).
fof(ax91,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ( ( leq(X1,X2)
& lt(X2,X3) )
=> lt(X1,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax91) ).
fof(ax30,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ( ( leq(X1,X2)
& leq(X2,X3) )
=> leq(X1,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax30) ).
fof(ax53,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( segmentP(X1,X2)
& segmentP(X2,X3) )
=> segmentP(X1,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax53) ).
fof(ax47,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( rearsegP(X1,X2)
& rearsegP(X2,X3) )
=> rearsegP(X1,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax47) ).
fof(ax40,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( frontsegP(X1,X2)
& frontsegP(X2,X3) )
=> frontsegP(X1,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax40) ).
fof(ax6,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( rearsegP(X1,X2)
<=> ? [X3] :
( ssList(X3)
& app(X3,X2) = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax6) ).
fof(ax5,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( frontsegP(X1,X2)
<=> ? [X3] :
( ssList(X3)
& app(X2,X3) = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax5) ).
fof(ax19,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssItem(X3)
=> ! [X4] :
( ssItem(X4)
=> ( cons(X3,X1) = cons(X4,X2)
=> ( X3 = X4
& X2 = X1 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax19) ).
fof(ax79,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( app(X3,X2) = app(X1,X2)
=> X3 = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax79) ).
fof(ax80,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( app(X2,X3) = app(X2,X1)
=> X3 = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax80) ).
fof(ax86,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( nil != X1
=> tl(app(X1,X2)) = app(tl(X1),X2) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax86) ).
fof(ax81,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> cons(X2,X1) = app(cons(X2,nil),X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax81) ).
fof(ax54,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( segmentP(X1,X2)
& segmentP(X2,X1) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax54) ).
fof(ax48,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( rearsegP(X1,X2)
& rearsegP(X2,X1) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax48) ).
fof(ax41,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( frontsegP(X1,X2)
& frontsegP(X2,X1) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax41) ).
fof(ax87,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( ( geq(X1,X2)
& geq(X2,X1) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax87) ).
fof(ax29,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( ( leq(X1,X2)
& leq(X2,X1) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax29) ).
fof(ax93,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( lt(X1,X2)
<=> ( X1 != X2
& leq(X1,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax93) ).
fof(ax92,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( leq(X1,X2)
=> ( X1 = X2
| lt(X1,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax92) ).
fof(ax35,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( gt(X1,X2)
<=> lt(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax35) ).
fof(ax32,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( geq(X1,X2)
<=> leq(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax32) ).
fof(ax85,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( nil != X1
=> hd(app(X1,X2)) = hd(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax85) ).
fof(ax77,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( nil != X2
& nil != X1
& hd(X2) = hd(X1)
& tl(X2) = tl(X1) )
=> X2 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax77) ).
fof(ax25,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> tl(cons(X2,X1)) = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax25) ).
fof(ax23,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> hd(cons(X2,X1)) = X2 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax23) ).
fof(ax26,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ssList(app(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax26) ).
fof(ax16,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> ssList(cons(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax16) ).
fof(ax15,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( neq(X1,X2)
<=> X1 != X2 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax15) ).
fof(ax1,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( neq(X1,X2)
<=> X1 != X2 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax1) ).
fof(ax4,axiom,
! [X1] :
( ssList(X1)
=> ( singletonP(X1)
<=> ? [X2] :
( ssItem(X2)
& cons(X2,nil) = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax4) ).
fof(ax83,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( nil = app(X1,X2)
<=> ( nil = X2
& nil = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax83) ).
fof(ax18,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> cons(X2,X1) != X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax18) ).
fof(ax21,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> nil != cons(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax21) ).
fof(ax20,axiom,
! [X1] :
( ssList(X1)
=> ( nil = X1
| ? [X2] :
( ssList(X2)
& ? [X3] :
( ssItem(X3)
& cons(X3,X2) = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax20) ).
fof(ax78,axiom,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> cons(hd(X1),tl(X1)) = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax78) ).
fof(ax73,axiom,
! [X1] :
( ssItem(X1)
=> equalelemsP(cons(X1,nil)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax73) ).
fof(ax71,axiom,
! [X1] :
( ssItem(X1)
=> duplicatefreeP(cons(X1,nil)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax71) ).
fof(ax68,axiom,
! [X1] :
( ssItem(X1)
=> strictorderedP(cons(X1,nil)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax68) ).
fof(ax65,axiom,
! [X1] :
( ssItem(X1)
=> totalorderedP(cons(X1,nil)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax65) ).
fof(ax63,axiom,
! [X1] :
( ssItem(X1)
=> strictorderP(cons(X1,nil)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax63) ).
fof(ax61,axiom,
! [X1] :
( ssItem(X1)
=> totalorderP(cons(X1,nil)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax61) ).
fof(ax59,axiom,
! [X1] :
( ssItem(X1)
=> cyclefreeP(cons(X1,nil)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax59) ).
fof(ax58,axiom,
! [X1] :
( ssList(X1)
=> ( segmentP(nil,X1)
<=> nil = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax58) ).
fof(ax52,axiom,
! [X1] :
( ssList(X1)
=> ( rearsegP(nil,X1)
<=> nil = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax52) ).
fof(ax46,axiom,
! [X1] :
( ssList(X1)
=> ( frontsegP(nil,X1)
<=> nil = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax46) ).
fof(ax89,axiom,
! [X1] :
( ssItem(X1)
=> geq(X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax89) ).
fof(ax31,axiom,
! [X1] :
( ssItem(X1)
=> leq(X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax31) ).
fof(ax55,axiom,
! [X1] :
( ssList(X1)
=> segmentP(X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax55) ).
fof(ax49,axiom,
! [X1] :
( ssList(X1)
=> rearsegP(X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax49) ).
fof(ax42,axiom,
! [X1] :
( ssList(X1)
=> frontsegP(X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax42) ).
fof(ax28,axiom,
! [X1] :
( ssList(X1)
=> app(nil,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax28) ).
fof(ax84,axiom,
! [X1] :
( ssList(X1)
=> app(X1,nil) = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax84) ).
fof(ax57,axiom,
! [X1] :
( ssList(X1)
=> segmentP(X1,nil) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax57) ).
fof(ax51,axiom,
! [X1] :
( ssList(X1)
=> rearsegP(X1,nil) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax51) ).
fof(ax45,axiom,
! [X1] :
( ssList(X1)
=> frontsegP(X1,nil) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax45) ).
fof(ax76,axiom,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> ? [X2] :
( ssList(X2)
& tl(X1) = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax76) ).
fof(ax24,axiom,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> ssList(tl(X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax24) ).
fof(ax75,axiom,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> ? [X2] :
( ssItem(X2)
& hd(X1) = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax75) ).
fof(ax22,axiom,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> ssItem(hd(X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax22) ).
fof(ax39,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax39) ).
fof(ax2,axiom,
? [X1] :
( ssItem(X1)
& ? [X2] :
( ssItem(X2)
& X1 != X2 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax2) ).
fof(ax74,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax74) ).
fof(ax72,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax72) ).
fof(ax69,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax69) ).
fof(ax66,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax66) ).
fof(ax64,axiom,
strictorderP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax64) ).
fof(ax62,axiom,
totalorderP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax62) ).
fof(ax60,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax60) ).
fof(ax17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax17) ).
fof(i_0_96,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ~ neq(X2,nil)
| ~ segmentP(X4,X3)
| ~ totalorderedP(X3)
| ? [X5] :
( ssList(X5)
& neq(X3,X5)
& segmentP(X4,X5)
& segmentP(X5,X3)
& totalorderedP(X5) )
| segmentP(X2,X1) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).
fof(i_0_97,plain,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( gt(X1,X2)
=> ~ gt(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[ax94]) ).
fof(i_0_98,plain,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( lt(X1,X2)
=> ~ lt(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[ax33]) ).
fof(i_0_99,plain,
! [X1] :
( ssItem(X1)
=> ~ lt(X1,X1) ),
inference(fof_simplification,[status(thm)],[ax90]) ).
fof(i_0_100,plain,
! [X1] :
( ssItem(X1)
=> ~ memberP(nil,X1) ),
inference(fof_simplification,[status(thm)],[ax38]) ).
fof(i_0_101,plain,
! [X242,X243,X244,X245,X246,X247] :
( ( ~ cyclefreeP(X242)
| ~ ssItem(X243)
| ~ ssItem(X244)
| ~ ssList(X245)
| ~ ssList(X246)
| ~ ssList(X247)
| app(app(X245,cons(X243,X246)),cons(X244,X247)) != X242
| ~ leq(X243,X244)
| ~ leq(X244,X243)
| ~ ssList(X242) )
& ( ssItem(esk10_1(X242))
| cyclefreeP(X242)
| ~ ssList(X242) )
& ( ssItem(esk11_1(X242))
| cyclefreeP(X242)
| ~ ssList(X242) )
& ( ssList(esk12_1(X242))
| cyclefreeP(X242)
| ~ ssList(X242) )
& ( ssList(esk13_1(X242))
| cyclefreeP(X242)
| ~ ssList(X242) )
& ( ssList(esk14_1(X242))
| cyclefreeP(X242)
| ~ ssList(X242) )
& ( app(app(esk12_1(X242),cons(esk10_1(X242),esk13_1(X242))),cons(esk11_1(X242),esk14_1(X242))) = X242
| cyclefreeP(X242)
| ~ ssList(X242) )
& ( leq(esk10_1(X242),esk11_1(X242))
| cyclefreeP(X242)
| ~ ssList(X242) )
& ( leq(esk11_1(X242),esk10_1(X242))
| cyclefreeP(X242)
| ~ ssList(X242) ) ),
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,
! [X264,X265,X266,X267,X268,X269] :
( ( ~ strictorderP(X264)
| ~ ssItem(X265)
| ~ ssItem(X266)
| ~ ssList(X267)
| ~ ssList(X268)
| ~ ssList(X269)
| app(app(X267,cons(X265,X268)),cons(X266,X269)) != X264
| lt(X265,X266)
| lt(X266,X265)
| ~ ssList(X264) )
& ( ssItem(esk20_1(X264))
| strictorderP(X264)
| ~ ssList(X264) )
& ( ssItem(esk21_1(X264))
| strictorderP(X264)
| ~ ssList(X264) )
& ( ssList(esk22_1(X264))
| strictorderP(X264)
| ~ ssList(X264) )
& ( ssList(esk23_1(X264))
| strictorderP(X264)
| ~ ssList(X264) )
& ( ssList(esk24_1(X264))
| strictorderP(X264)
| ~ ssList(X264) )
& ( app(app(esk22_1(X264),cons(esk20_1(X264),esk23_1(X264))),cons(esk21_1(X264),esk24_1(X264))) = X264
| strictorderP(X264)
| ~ ssList(X264) )
& ( ~ lt(esk20_1(X264),esk21_1(X264))
| strictorderP(X264)
| ~ ssList(X264) )
& ( ~ lt(esk21_1(X264),esk20_1(X264))
| strictorderP(X264)
| ~ ssList(X264) ) ),
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,
! [X253,X254,X255,X256,X257,X258] :
( ( ~ totalorderP(X253)
| ~ ssItem(X254)
| ~ ssItem(X255)
| ~ ssList(X256)
| ~ ssList(X257)
| ~ ssList(X258)
| app(app(X256,cons(X254,X257)),cons(X255,X258)) != X253
| leq(X254,X255)
| leq(X255,X254)
| ~ ssList(X253) )
& ( ssItem(esk15_1(X253))
| totalorderP(X253)
| ~ ssList(X253) )
& ( ssItem(esk16_1(X253))
| totalorderP(X253)
| ~ ssList(X253) )
& ( ssList(esk17_1(X253))
| totalorderP(X253)
| ~ ssList(X253) )
& ( ssList(esk18_1(X253))
| totalorderP(X253)
| ~ ssList(X253) )
& ( ssList(esk19_1(X253))
| totalorderP(X253)
| ~ ssList(X253) )
& ( app(app(esk17_1(X253),cons(esk15_1(X253),esk18_1(X253))),cons(esk16_1(X253),esk19_1(X253))) = X253
| totalorderP(X253)
| ~ ssList(X253) )
& ( ~ leq(esk15_1(X253),esk16_1(X253))
| totalorderP(X253)
| ~ ssList(X253) )
& ( ~ leq(esk16_1(X253),esk15_1(X253))
| totalorderP(X253)
| ~ ssList(X253) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax9])])])])]) ).
fof(i_0_104,plain,
! [X286,X287,X288,X289,X290,X291] :
( ( ~ strictorderedP(X286)
| ~ ssItem(X287)
| ~ ssItem(X288)
| ~ ssList(X289)
| ~ ssList(X290)
| ~ ssList(X291)
| app(app(X289,cons(X287,X290)),cons(X288,X291)) != X286
| lt(X287,X288)
| ~ ssList(X286) )
& ( ssItem(esk30_1(X286))
| strictorderedP(X286)
| ~ ssList(X286) )
& ( ssItem(esk31_1(X286))
| strictorderedP(X286)
| ~ ssList(X286) )
& ( ssList(esk32_1(X286))
| strictorderedP(X286)
| ~ ssList(X286) )
& ( ssList(esk33_1(X286))
| strictorderedP(X286)
| ~ ssList(X286) )
& ( ssList(esk34_1(X286))
| strictorderedP(X286)
| ~ ssList(X286) )
& ( app(app(esk32_1(X286),cons(esk30_1(X286),esk33_1(X286))),cons(esk31_1(X286),esk34_1(X286))) = X286
| strictorderedP(X286)
| ~ ssList(X286) )
& ( ~ lt(esk30_1(X286),esk31_1(X286))
| strictorderedP(X286)
| ~ ssList(X286) ) ),
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,
! [X275,X276,X277,X278,X279,X280] :
( ( ~ totalorderedP(X275)
| ~ ssItem(X276)
| ~ ssItem(X277)
| ~ ssList(X278)
| ~ ssList(X279)
| ~ ssList(X280)
| app(app(X278,cons(X276,X279)),cons(X277,X280)) != X275
| leq(X276,X277)
| ~ ssList(X275) )
& ( ssItem(esk25_1(X275))
| totalorderedP(X275)
| ~ ssList(X275) )
& ( ssItem(esk26_1(X275))
| totalorderedP(X275)
| ~ ssList(X275) )
& ( ssList(esk27_1(X275))
| totalorderedP(X275)
| ~ ssList(X275) )
& ( ssList(esk28_1(X275))
| totalorderedP(X275)
| ~ ssList(X275) )
& ( ssList(esk29_1(X275))
| totalorderedP(X275)
| ~ ssList(X275) )
& ( app(app(esk27_1(X275),cons(esk25_1(X275),esk28_1(X275))),cons(esk26_1(X275),esk29_1(X275))) = X275
| totalorderedP(X275)
| ~ ssList(X275) )
& ( ~ leq(esk25_1(X275),esk26_1(X275))
| totalorderedP(X275)
| ~ ssList(X275) ) ),
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,
! [X297,X298,X299,X300,X301,X302] :
( ( ~ duplicatefreeP(X297)
| ~ ssItem(X298)
| ~ ssItem(X299)
| ~ ssList(X300)
| ~ ssList(X301)
| ~ ssList(X302)
| app(app(X300,cons(X298,X301)),cons(X299,X302)) != X297
| X298 != X299
| ~ ssList(X297) )
& ( ssItem(esk35_1(X297))
| duplicatefreeP(X297)
| ~ ssList(X297) )
& ( ssItem(esk36_1(X297))
| duplicatefreeP(X297)
| ~ ssList(X297) )
& ( ssList(esk37_1(X297))
| duplicatefreeP(X297)
| ~ ssList(X297) )
& ( ssList(esk38_1(X297))
| duplicatefreeP(X297)
| ~ ssList(X297) )
& ( ssList(esk39_1(X297))
| duplicatefreeP(X297)
| ~ ssList(X297) )
& ( app(app(esk37_1(X297),cons(esk35_1(X297),esk38_1(X297))),cons(esk36_1(X297),esk39_1(X297))) = X297
| duplicatefreeP(X297)
| ~ ssList(X297) )
& ( esk35_1(X297) = esk36_1(X297)
| duplicatefreeP(X297)
| ~ ssList(X297) ) ),
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,
! [X308,X309,X310,X311,X312] :
( ( ~ equalelemsP(X308)
| ~ ssItem(X309)
| ~ ssItem(X310)
| ~ ssList(X311)
| ~ ssList(X312)
| app(X311,cons(X309,cons(X310,X312))) != X308
| X309 = X310
| ~ ssList(X308) )
& ( ssItem(esk40_1(X308))
| equalelemsP(X308)
| ~ ssList(X308) )
& ( ssItem(esk41_1(X308))
| equalelemsP(X308)
| ~ ssList(X308) )
& ( ssList(esk42_1(X308))
| equalelemsP(X308)
| ~ ssList(X308) )
& ( ssList(esk43_1(X308))
| equalelemsP(X308)
| ~ ssList(X308) )
& ( app(esk42_1(X308),cons(esk40_1(X308),cons(esk41_1(X308),esk43_1(X308)))) = X308
| equalelemsP(X308)
| ~ ssList(X308) )
& ( esk40_1(X308) != esk41_1(X308)
| equalelemsP(X308)
| ~ ssList(X308) ) ),
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,
! [X236,X237,X240,X241] :
( ( ssList(esk8_2(X236,X237))
| ~ segmentP(X236,X237)
| ~ ssList(X237)
| ~ ssList(X236) )
& ( ssList(esk9_2(X236,X237))
| ~ segmentP(X236,X237)
| ~ ssList(X237)
| ~ ssList(X236) )
& ( app(app(esk8_2(X236,X237),X237),esk9_2(X236,X237)) = X236
| ~ segmentP(X236,X237)
| ~ ssList(X237)
| ~ ssList(X236) )
& ( ~ ssList(X240)
| ~ ssList(X241)
| app(app(X240,X237),X241) != X236
| segmentP(X236,X237)
| ~ ssList(X237)
| ~ ssList(X236) ) ),
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,
! [X219,X220,X223,X224] :
( ( ssList(esk3_2(X219,X220))
| ~ memberP(X219,X220)
| ~ ssItem(X220)
| ~ ssList(X219) )
& ( ssList(esk4_2(X219,X220))
| ~ memberP(X219,X220)
| ~ ssItem(X220)
| ~ ssList(X219) )
& ( app(esk3_2(X219,X220),cons(X220,esk4_2(X219,X220))) = X219
| ~ memberP(X219,X220)
| ~ ssItem(X220)
| ~ ssList(X219) )
& ( ~ ssList(X223)
| ~ ssList(X224)
| app(X223,cons(X220,X224)) != X219
| memberP(X219,X220)
| ~ ssItem(X220)
| ~ ssList(X219) ) ),
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,
! [X375,X376,X377,X378] :
( ( X375 = X376
| ~ frontsegP(cons(X375,X377),cons(X376,X378))
| ~ ssList(X378)
| ~ ssList(X377)
| ~ ssItem(X376)
| ~ ssItem(X375) )
& ( frontsegP(X377,X378)
| ~ frontsegP(cons(X375,X377),cons(X376,X378))
| ~ ssList(X378)
| ~ ssList(X377)
| ~ ssItem(X376)
| ~ ssItem(X375) )
& ( X375 != X376
| ~ frontsegP(X377,X378)
| frontsegP(cons(X375,X377),cons(X376,X378))
| ~ ssList(X378)
| ~ ssList(X377)
| ~ ssItem(X376)
| ~ ssItem(X375) ) ),
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,
! [X398,X399,X400,X401] :
( ~ ssList(X398)
| ~ ssList(X399)
| ~ ssList(X400)
| ~ ssList(X401)
| ~ segmentP(X398,X399)
| segmentP(app(app(X400,X398),X401),X399) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax56])])]) ).
fof(i_0_112,plain,
! [X359,X360,X361] :
( ( ~ memberP(app(X360,X361),X359)
| memberP(X360,X359)
| memberP(X361,X359)
| ~ ssList(X361)
| ~ ssList(X360)
| ~ ssItem(X359) )
& ( ~ memberP(X360,X359)
| memberP(app(X360,X361),X359)
| ~ ssList(X361)
| ~ ssList(X360)
| ~ ssItem(X359) )
& ( ~ memberP(X361,X359)
| memberP(app(X360,X361),X359)
| ~ ssList(X361)
| ~ ssList(X360)
| ~ ssItem(X359) ) ),
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,
! [X362,X363,X364] :
( ( ~ memberP(cons(X363,X364),X362)
| X362 = X363
| memberP(X364,X362)
| ~ ssList(X364)
| ~ ssItem(X363)
| ~ ssItem(X362) )
& ( X362 != X363
| memberP(cons(X363,X364),X362)
| ~ ssList(X364)
| ~ ssItem(X363)
| ~ ssItem(X362) )
& ( ~ memberP(X364,X362)
| memberP(cons(X363,X364),X362)
| ~ ssList(X364)
| ~ ssItem(X363)
| ~ ssItem(X362) ) ),
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,
! [X430,X431,X432] :
( ~ ssList(X430)
| ~ ssList(X431)
| ~ ssList(X432)
| app(app(X430,X431),X432) = app(X430,app(X431,X432)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax82])])]) ).
fof(i_0_115,plain,
! [X340,X341,X342] :
( ~ ssList(X340)
| ~ ssList(X341)
| ~ ssItem(X342)
| cons(X342,app(X341,X340)) = app(cons(X342,X341),X340) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax27])])]) ).
fof(i_0_116,plain,
! [X411,X412] :
( ( nil != X412
| nil = X412
| ~ strictorderedP(cons(X411,X412))
| ~ ssList(X412)
| ~ ssItem(X411) )
& ( strictorderedP(X412)
| nil = X412
| ~ strictorderedP(cons(X411,X412))
| ~ ssList(X412)
| ~ ssItem(X411) )
& ( lt(X411,hd(X412))
| nil = X412
| ~ strictorderedP(cons(X411,X412))
| ~ ssList(X412)
| ~ ssItem(X411) )
& ( nil != X412
| strictorderedP(cons(X411,X412))
| ~ ssList(X412)
| ~ ssItem(X411) )
& ( nil = X412
| ~ strictorderedP(X412)
| ~ lt(X411,hd(X412))
| strictorderedP(cons(X411,X412))
| ~ ssList(X412)
| ~ ssItem(X411) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax70])])])]) ).
fof(i_0_117,plain,
! [X408,X409] :
( ( nil != X409
| nil = X409
| ~ totalorderedP(cons(X408,X409))
| ~ ssList(X409)
| ~ ssItem(X408) )
& ( totalorderedP(X409)
| nil = X409
| ~ totalorderedP(cons(X408,X409))
| ~ ssList(X409)
| ~ ssItem(X408) )
& ( leq(X408,hd(X409))
| nil = X409
| ~ totalorderedP(cons(X408,X409))
| ~ ssList(X409)
| ~ ssItem(X408) )
& ( nil != X409
| totalorderedP(cons(X408,X409))
| ~ ssList(X409)
| ~ ssItem(X408) )
& ( nil = X409
| ~ totalorderedP(X409)
| ~ leq(X408,hd(X409))
| totalorderedP(cons(X408,X409))
| ~ ssList(X409)
| ~ ssItem(X408) ) ),
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,
! [X387,X388,X389] :
( ~ ssList(X387)
| ~ ssList(X388)
| ~ ssList(X389)
| ~ rearsegP(X387,X388)
| rearsegP(app(X389,X387),X388) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax50])])]) ).
fof(i_0_119,plain,
! [X372,X373,X374] :
( ~ ssList(X372)
| ~ ssList(X373)
| ~ ssList(X374)
| ~ frontsegP(X372,X373)
| frontsegP(app(X372,X374),X373) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax43])])]) ).
fof(i_0_120,plain,
! [X456,X457,X458] :
( ~ ssItem(X456)
| ~ ssItem(X457)
| ~ ssItem(X458)
| ~ gt(X456,X457)
| ~ gt(X457,X458)
| gt(X456,X458) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax95])])]) ).
fof(i_0_121,plain,
! [X442,X443,X444] :
( ~ ssItem(X442)
| ~ ssItem(X443)
| ~ ssItem(X444)
| ~ geq(X442,X443)
| ~ geq(X443,X444)
| geq(X442,X444) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax88])])]) ).
fof(i_0_122,plain,
! [X354,X355,X356] :
( ~ ssItem(X354)
| ~ ssItem(X355)
| ~ ssItem(X356)
| ~ lt(X354,X355)
| ~ lt(X355,X356)
| lt(X354,X356) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax34])])]) ).
fof(i_0_123,plain,
! [X447,X448,X449] :
( ~ ssItem(X447)
| ~ ssItem(X448)
| ~ ssItem(X449)
| ~ leq(X447,X448)
| ~ lt(X448,X449)
| lt(X447,X449) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax91])])]) ).
fof(i_0_124,plain,
! [X346,X347,X348] :
( ~ ssItem(X346)
| ~ ssItem(X347)
| ~ ssItem(X348)
| ~ leq(X346,X347)
| ~ leq(X347,X348)
| leq(X346,X348) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax30])])]) ).
fof(i_0_125,plain,
! [X392,X393,X394] :
( ~ ssList(X392)
| ~ ssList(X393)
| ~ ssList(X394)
| ~ segmentP(X392,X393)
| ~ segmentP(X393,X394)
| segmentP(X392,X394) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax53])])]) ).
fof(i_0_126,plain,
! [X381,X382,X383] :
( ~ ssList(X381)
| ~ ssList(X382)
| ~ ssList(X383)
| ~ rearsegP(X381,X382)
| ~ rearsegP(X382,X383)
| rearsegP(X381,X383) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax47])])]) ).
fof(i_0_127,plain,
! [X366,X367,X368] :
( ~ ssList(X366)
| ~ ssList(X367)
| ~ ssList(X368)
| ~ frontsegP(X366,X367)
| ~ frontsegP(X367,X368)
| frontsegP(X366,X368) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax40])])]) ).
fof(i_0_128,plain,
! [X232,X233,X235] :
( ( ssList(esk7_2(X232,X233))
| ~ rearsegP(X232,X233)
| ~ ssList(X233)
| ~ ssList(X232) )
& ( app(esk7_2(X232,X233),X233) = X232
| ~ rearsegP(X232,X233)
| ~ ssList(X233)
| ~ ssList(X232) )
& ( ~ ssList(X235)
| app(X235,X233) != X232
| rearsegP(X232,X233)
| ~ ssList(X233)
| ~ ssList(X232) ) ),
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,
! [X228,X229,X231] :
( ( ssList(esk6_2(X228,X229))
| ~ frontsegP(X228,X229)
| ~ ssList(X229)
| ~ ssList(X228) )
& ( app(X229,esk6_2(X228,X229)) = X228
| ~ frontsegP(X228,X229)
| ~ ssList(X229)
| ~ ssList(X228) )
& ( ~ ssList(X231)
| app(X229,X231) != X228
| frontsegP(X228,X229)
| ~ ssList(X229)
| ~ ssList(X228) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax5])])])])]) ).
fof(i_0_130,negated_conjecture,
! [X463] :
( 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(esk51_0,esk50_0)
& totalorderedP(esk50_0)
& ( ~ ssList(X463)
| ~ neq(esk50_0,X463)
| ~ segmentP(esk51_0,X463)
| ~ segmentP(X463,esk50_0)
| ~ totalorderedP(X463) )
& ~ segmentP(esk49_0,esk48_0) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_96])])])]) ).
fof(i_0_131,plain,
! [X323,X324,X325,X326] :
( ( X325 = X326
| cons(X325,X323) != cons(X326,X324)
| ~ ssItem(X326)
| ~ ssItem(X325)
| ~ ssList(X324)
| ~ ssList(X323) )
& ( X324 = X323
| cons(X325,X323) != cons(X326,X324)
| ~ ssItem(X326)
| ~ ssItem(X325)
| ~ ssList(X324)
| ~ ssList(X323) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax19])])])]) ).
fof(i_0_132,plain,
! [X422,X423,X424] :
( ~ ssList(X422)
| ~ ssList(X423)
| ~ ssList(X424)
| app(X424,X423) != app(X422,X423)
| X424 = X422 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax79])])]) ).
fof(i_0_133,plain,
! [X425,X426,X427] :
( ~ ssList(X425)
| ~ ssList(X426)
| ~ ssList(X427)
| app(X426,X427) != app(X426,X425)
| X427 = X425 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax80])])]) ).
fof(i_0_134,plain,
! [X438,X439] :
( ~ ssList(X438)
| ~ ssList(X439)
| nil = X438
| tl(app(X438,X439)) = app(tl(X438),X439) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax86])])]) ).
fof(i_0_135,plain,
! [X428,X429] :
( ~ ssList(X428)
| ~ ssItem(X429)
| cons(X429,X428) = app(cons(X429,nil),X428) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax81])])]) ).
fof(i_0_136,plain,
! [X395,X396] :
( ~ ssList(X395)
| ~ ssList(X396)
| ~ segmentP(X395,X396)
| ~ segmentP(X396,X395)
| X395 = X396 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax54])])]) ).
fof(i_0_137,plain,
! [X384,X385] :
( ~ ssList(X384)
| ~ ssList(X385)
| ~ rearsegP(X384,X385)
| ~ rearsegP(X385,X384)
| X384 = X385 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax48])])]) ).
fof(i_0_138,plain,
! [X369,X370] :
( ~ ssList(X369)
| ~ ssList(X370)
| ~ frontsegP(X369,X370)
| ~ frontsegP(X370,X369)
| X369 = X370 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax41])])]) ).
fof(i_0_139,plain,
! [X440,X441] :
( ~ ssItem(X440)
| ~ ssItem(X441)
| ~ geq(X440,X441)
| ~ geq(X441,X440)
| X440 = X441 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax87])])]) ).
fof(i_0_140,plain,
! [X344,X345] :
( ~ ssItem(X344)
| ~ ssItem(X345)
| ~ leq(X344,X345)
| ~ leq(X345,X344)
| X344 = X345 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax29])])]) ).
fof(i_0_141,plain,
! [X454,X455] :
( ~ ssItem(X454)
| ~ ssItem(X455)
| ~ gt(X454,X455)
| ~ gt(X455,X454) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_97])])]) ).
fof(i_0_142,plain,
! [X352,X353] :
( ~ ssItem(X352)
| ~ ssItem(X353)
| ~ lt(X352,X353)
| ~ lt(X353,X352) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_98])])]) ).
fof(i_0_143,plain,
! [X452,X453] :
( ( X452 != X453
| ~ lt(X452,X453)
| ~ ssItem(X453)
| ~ ssItem(X452) )
& ( leq(X452,X453)
| ~ lt(X452,X453)
| ~ ssItem(X453)
| ~ ssItem(X452) )
& ( X452 = X453
| ~ leq(X452,X453)
| lt(X452,X453)
| ~ ssItem(X453)
| ~ ssItem(X452) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax93])])])]) ).
fof(i_0_144,plain,
! [X450,X451] :
( ~ ssItem(X450)
| ~ ssItem(X451)
| ~ leq(X450,X451)
| X450 = X451
| lt(X450,X451) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax92])])]) ).
fof(i_0_145,plain,
! [X357,X358] :
( ( ~ gt(X357,X358)
| lt(X358,X357)
| ~ ssItem(X358)
| ~ ssItem(X357) )
& ( ~ lt(X358,X357)
| gt(X357,X358)
| ~ ssItem(X358)
| ~ ssItem(X357) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax35])])])]) ).
fof(i_0_146,plain,
! [X350,X351] :
( ( ~ geq(X350,X351)
| leq(X351,X350)
| ~ ssItem(X351)
| ~ ssItem(X350) )
& ( ~ leq(X351,X350)
| geq(X350,X351)
| ~ ssItem(X351)
| ~ ssItem(X350) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax32])])])]) ).
fof(i_0_147,plain,
! [X436,X437] :
( ~ ssList(X436)
| ~ ssList(X437)
| nil = X436
| hd(app(X436,X437)) = hd(X436) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax85])])]) ).
fof(i_0_148,plain,
! [X419,X420] :
( ~ ssList(X419)
| ~ ssList(X420)
| nil = X420
| nil = X419
| hd(X420) != hd(X419)
| tl(X420) != tl(X419)
| X420 = X419 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax77])])]) ).
fof(i_0_149,plain,
! [X336,X337] :
( ~ ssList(X336)
| ~ ssItem(X337)
| tl(cons(X337,X336)) = X336 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax25])])]) ).
fof(i_0_150,plain,
! [X333,X334] :
( ~ ssList(X333)
| ~ ssItem(X334)
| hd(cons(X334,X333)) = X334 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax23])])]) ).
fof(i_0_151,plain,
! [X338,X339] :
( ~ ssList(X338)
| ~ ssList(X339)
| ssList(app(X338,X339)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax26])])]) ).
fof(i_0_152,plain,
! [X319,X320] :
( ~ ssList(X319)
| ~ ssItem(X320)
| ssList(cons(X320,X319)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax16])])]) ).
fof(i_0_153,plain,
! [X317,X318] :
( ( ~ neq(X317,X318)
| X317 != X318
| ~ ssList(X318)
| ~ ssList(X317) )
& ( X317 = X318
| neq(X317,X318)
| ~ ssList(X318)
| ~ ssList(X317) ) ),
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,
! [X215,X216] :
( ( ~ neq(X215,X216)
| X215 != X216
| ~ ssItem(X216)
| ~ ssItem(X215) )
& ( X215 = X216
| neq(X215,X216)
| ~ ssItem(X216)
| ~ ssItem(X215) ) ),
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,
! [X225,X227] :
( ( ssItem(esk5_1(X225))
| ~ singletonP(X225)
| ~ ssList(X225) )
& ( cons(esk5_1(X225),nil) = X225
| ~ singletonP(X225)
| ~ ssList(X225) )
& ( ~ ssItem(X227)
| cons(X227,nil) != X225
| singletonP(X225)
| ~ ssList(X225) ) ),
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,
! [X433,X434] :
( ( nil = X434
| nil != app(X433,X434)
| ~ ssList(X434)
| ~ ssList(X433) )
& ( nil = X433
| nil != app(X433,X434)
| ~ ssList(X434)
| ~ ssList(X433) )
& ( nil != X434
| nil != X433
| nil = app(X433,X434)
| ~ ssList(X434)
| ~ ssList(X433) ) ),
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,
! [X321,X322] :
( ~ ssList(X321)
| ~ ssItem(X322)
| cons(X322,X321) != X321 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax18])])]) ).
fof(i_0_158,plain,
! [X330,X331] :
( ~ ssList(X330)
| ~ ssItem(X331)
| nil != cons(X331,X330) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax21])])]) ).
fof(i_0_159,plain,
! [X327] :
( ( ssList(esk44_1(X327))
| nil = X327
| ~ ssList(X327) )
& ( ssItem(esk45_1(X327))
| nil = X327
| ~ ssList(X327) )
& ( cons(esk45_1(X327),esk44_1(X327)) = X327
| nil = X327
| ~ ssList(X327) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax20])])])]) ).
fof(i_0_160,plain,
! [X421] :
( ~ ssList(X421)
| nil = X421
| cons(hd(X421),tl(X421)) = X421 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax78])]) ).
fof(i_0_161,plain,
! [X414] :
( ~ ssItem(X414)
| equalelemsP(cons(X414,nil)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax73])]) ).
fof(i_0_162,plain,
! [X413] :
( ~ ssItem(X413)
| duplicatefreeP(cons(X413,nil)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax71])]) ).
fof(i_0_163,plain,
! [X410] :
( ~ ssItem(X410)
| strictorderedP(cons(X410,nil)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax68])]) ).
fof(i_0_164,plain,
! [X407] :
( ~ ssItem(X407)
| totalorderedP(cons(X407,nil)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax65])]) ).
fof(i_0_165,plain,
! [X406] :
( ~ ssItem(X406)
| strictorderP(cons(X406,nil)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax63])]) ).
fof(i_0_166,plain,
! [X405] :
( ~ ssItem(X405)
| totalorderP(cons(X405,nil)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax61])]) ).
fof(i_0_167,plain,
! [X404] :
( ~ ssItem(X404)
| cyclefreeP(cons(X404,nil)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax59])]) ).
fof(i_0_168,plain,
! [X446] :
( ~ ssItem(X446)
| ~ lt(X446,X446) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_99])]) ).
fof(i_0_169,plain,
! [X403] :
( ( ~ segmentP(nil,X403)
| nil = X403
| ~ ssList(X403) )
& ( nil != X403
| segmentP(nil,X403)
| ~ ssList(X403) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax58])])]) ).
fof(i_0_170,plain,
! [X391] :
( ( ~ rearsegP(nil,X391)
| nil = X391
| ~ ssList(X391) )
& ( nil != X391
| rearsegP(nil,X391)
| ~ ssList(X391) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax52])])]) ).
fof(i_0_171,plain,
! [X380] :
( ( ~ frontsegP(nil,X380)
| nil = X380
| ~ ssList(X380) )
& ( nil != X380
| frontsegP(nil,X380)
| ~ ssList(X380) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax46])])]) ).
fof(i_0_172,plain,
! [X365] :
( ~ ssItem(X365)
| ~ memberP(nil,X365) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_100])]) ).
fof(i_0_173,plain,
! [X445] :
( ~ ssItem(X445)
| geq(X445,X445) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax89])]) ).
fof(i_0_174,plain,
! [X349] :
( ~ ssItem(X349)
| leq(X349,X349) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax31])]) ).
fof(i_0_175,plain,
! [X397] :
( ~ ssList(X397)
| segmentP(X397,X397) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax55])]) ).
fof(i_0_176,plain,
! [X386] :
( ~ ssList(X386)
| rearsegP(X386,X386) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax49])]) ).
fof(i_0_177,plain,
! [X371] :
( ~ ssList(X371)
| frontsegP(X371,X371) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax42])]) ).
fof(i_0_178,plain,
! [X343] :
( ~ ssList(X343)
| app(nil,X343) = X343 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])]) ).
fof(i_0_179,plain,
! [X435] :
( ~ ssList(X435)
| app(X435,nil) = X435 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax84])]) ).
fof(i_0_180,plain,
! [X402] :
( ~ ssList(X402)
| segmentP(X402,nil) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax57])]) ).
fof(i_0_181,plain,
! [X390] :
( ~ ssList(X390)
| rearsegP(X390,nil) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax51])]) ).
fof(i_0_182,plain,
! [X379] :
( ~ ssList(X379)
| frontsegP(X379,nil) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax45])]) ).
fof(i_0_183,plain,
! [X417] :
( ( ssList(esk47_1(X417))
| nil = X417
| ~ ssList(X417) )
& ( tl(X417) = esk47_1(X417)
| nil = X417
| ~ ssList(X417) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax76])])])]) ).
fof(i_0_184,plain,
! [X335] :
( ~ ssList(X335)
| nil = X335
| ssList(tl(X335)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax24])]) ).
fof(i_0_185,plain,
! [X415] :
( ( ssItem(esk46_1(X415))
| nil = X415
| ~ ssList(X415) )
& ( hd(X415) = esk46_1(X415)
| nil = X415
| ~ ssList(X415) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax75])])])]) ).
fof(i_0_186,plain,
! [X332] :
( ~ ssList(X332)
| nil = X332
| ssItem(hd(X332)) ),
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,negated_conjecture,
( ~ ssList(X1)
| ~ neq(esk50_0,X1)
| ~ segmentP(esk51_0,X1)
| ~ segmentP(X1,esk50_0)
| ~ totalorderedP(X1) ),
inference(split_conjunct,[status(thm)],[i_0_130]),
[final] ).
cnf(i_0_235,plain,
( X1 = X2
| cons(X1,X3) != cons(X2,X4)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[i_0_131]),
[final] ).
cnf(i_0_236,plain,
( X1 = X2
| cons(X3,X2) != cons(X4,X1)
| ~ ssItem(X4)
| ~ ssItem(X3)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[i_0_131]),
[final] ).
cnf(i_0_237,plain,
( strictorderedP(X1)
| nil = X1
| ~ strictorderedP(cons(X2,X1))
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_116]),
[final] ).
cnf(i_0_238,plain,
( totalorderedP(X1)
| nil = X1
| ~ totalorderedP(cons(X2,X1))
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_239,plain,
( X3 = X1
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| app(X3,X2) != app(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_132]),
[final] ).
cnf(i_0_240,plain,
( X3 = X1
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| app(X2,X3) != app(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_133]),
[final] ).
cnf(i_0_241,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_242,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_243,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_244,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_245,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_246,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_247,plain,
( nil = X1
| tl(app(X1,X2)) = app(tl(X1),X2)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[i_0_134]),
[final] ).
cnf(i_0_248,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_249,plain,
( cons(X2,X1) = app(cons(X2,nil),X1)
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_135]),
[final] ).
cnf(i_0_250,plain,
( X1 = X2
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_136]),
[final] ).
cnf(i_0_251,plain,
( X1 = X2
| ~ ssList(X1)
| ~ ssList(X2)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_137]),
[final] ).
cnf(i_0_252,plain,
( X1 = X2
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_138]),
[final] ).
cnf(i_0_253,plain,
( X1 = X2
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ geq(X1,X2)
| ~ geq(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_139]),
[final] ).
cnf(i_0_254,plain,
( X1 = X2
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ leq(X1,X2)
| ~ leq(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_140]),
[final] ).
cnf(i_0_255,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_256,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_257,plain,
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ gt(X1,X2)
| ~ gt(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_141]),
[final] ).
cnf(i_0_258,plain,
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ lt(X1,X2)
| ~ lt(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_142]),
[final] ).
cnf(i_0_259,plain,
( X1 = X2
| lt(X1,X2)
| ~ leq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_143]),
[final] ).
cnf(i_0_260,plain,
( X1 = X2
| lt(X1,X2)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_144]),
[final] ).
cnf(i_0_261,plain,
( strictorderedP(X1)
| ~ lt(esk30_1(X1),esk31_1(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_262,plain,
( totalorderedP(X1)
| ~ leq(esk25_1(X1),esk26_1(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_263,plain,
( strictorderP(X1)
| ~ lt(esk21_1(X1),esk20_1(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_264,plain,
( strictorderP(X1)
| ~ lt(esk20_1(X1),esk21_1(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_265,plain,
( totalorderP(X1)
| ~ leq(esk16_1(X1),esk15_1(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_266,plain,
( totalorderP(X1)
| ~ leq(esk15_1(X1),esk16_1(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_267,plain,
( gt(X2,X1)
| ~ lt(X1,X2)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_145]),
[final] ).
cnf(i_0_268,plain,
( geq(X2,X1)
| ~ leq(X1,X2)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_146]),
[final] ).
cnf(i_0_269,plain,
( lt(X2,X1)
| ~ gt(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_145]),
[final] ).
cnf(i_0_270,plain,
( leq(X1,X2)
| ~ lt(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_143]),
[final] ).
cnf(i_0_271,plain,
( leq(X2,X1)
| ~ geq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_146]),
[final] ).
cnf(i_0_272,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_273,plain,
( strictorderedP(cons(X2,X1))
| nil != X1
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_116]),
[final] ).
cnf(i_0_274,plain,
( totalorderedP(cons(X2,X1))
| nil != X1
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_275,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_276,plain,
( tl(cons(X2,X1)) = X1
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_149]),
[final] ).
cnf(i_0_277,plain,
( hd(cons(X2,X1)) = X2
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_150]),
[final] ).
cnf(i_0_278,plain,
( ssList(app(X1,X2))
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[i_0_151]),
[final] ).
cnf(i_0_279,plain,
( ssList(cons(X2,X1))
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_152]),
[final] ).
cnf(i_0_280,plain,
( ~ neq(X1,X2)
| X1 != X2
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_153]),
[final] ).
cnf(i_0_281,plain,
( X1 != X2
| ~ lt(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_143]),
[final] ).
cnf(i_0_282,plain,
( ~ neq(X1,X2)
| X1 != X2
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_154]),
[final] ).
cnf(i_0_283,plain,
( singletonP(X2)
| ~ ssItem(X1)
| cons(X1,nil) != X2
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[i_0_155]),
[final] ).
cnf(i_0_284,plain,
( nil = X1
| nil != app(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_156]),
[final] ).
cnf(i_0_285,plain,
( nil = X1
| nil != app(X2,X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[i_0_156]),
[final] ).
cnf(i_0_286,plain,
( leq(esk11_1(X1),esk10_1(X1))
| cyclefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_287,plain,
( leq(esk10_1(X1),esk11_1(X1))
| cyclefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_288,plain,
( ~ ssList(X1)
| ~ ssItem(X2)
| cons(X2,X1) != X1 ),
inference(split_conjunct,[status(thm)],[i_0_157]),
[final] ).
cnf(i_0_289,plain,
( ~ ssList(X1)
| ~ ssItem(X2)
| nil != cons(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_158]),
[final] ).
cnf(i_0_290,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_291,plain,
( nil = X1
| cons(hd(X1),tl(X1)) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_160]),
[final] ).
cnf(i_0_292,plain,
( equalelemsP(cons(X1,nil))
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_161]),
[final] ).
cnf(i_0_293,plain,
( duplicatefreeP(cons(X1,nil))
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_162]),
[final] ).
cnf(i_0_294,plain,
( strictorderedP(cons(X1,nil))
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_163]),
[final] ).
cnf(i_0_295,plain,
( totalorderedP(cons(X1,nil))
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_164]),
[final] ).
cnf(i_0_296,plain,
( strictorderP(cons(X1,nil))
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_165]),
[final] ).
cnf(i_0_297,plain,
( totalorderP(cons(X1,nil))
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_166]),
[final] ).
cnf(i_0_298,plain,
( cyclefreeP(cons(X1,nil))
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_167]),
[final] ).
cnf(i_0_299,plain,
( cons(esk5_1(X1),nil) = X1
| ~ singletonP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_155]),
[final] ).
cnf(i_0_300,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_301,plain,
( X1 = X2
| neq(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_153]),
[final] ).
cnf(i_0_302,plain,
( X1 = X2
| neq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_154]),
[final] ).
cnf(i_0_303,plain,
( ~ ssItem(X1)
| ~ lt(X1,X1) ),
inference(split_conjunct,[status(thm)],[i_0_168]),
[final] ).
cnf(i_0_304,plain,
( nil = X1
| ~ segmentP(nil,X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_169]),
[final] ).
cnf(i_0_305,plain,
( nil = X1
| ~ rearsegP(nil,X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_170]),
[final] ).
cnf(i_0_306,plain,
( nil = X1
| ~ frontsegP(nil,X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_171]),
[final] ).
cnf(i_0_307,plain,
( ~ ssItem(X1)
| ~ memberP(nil,X1) ),
inference(split_conjunct,[status(thm)],[i_0_172]),
[final] ).
cnf(i_0_308,plain,
( ssItem(esk5_1(X1))
| ~ singletonP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_155]),
[final] ).
cnf(i_0_309,plain,
( equalelemsP(X1)
| esk40_1(X1) != esk41_1(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_310,plain,
( segmentP(nil,X1)
| nil != X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_169]),
[final] ).
cnf(i_0_311,plain,
( rearsegP(nil,X1)
| nil != X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_170]),
[final] ).
cnf(i_0_312,plain,
( frontsegP(nil,X1)
| nil != X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_171]),
[final] ).
cnf(i_0_313,plain,
( ssList(esk43_1(X1))
| equalelemsP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_314,plain,
( ssList(esk42_1(X1))
| equalelemsP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_315,plain,
( ssItem(esk41_1(X1))
| equalelemsP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_316,plain,
( ssItem(esk40_1(X1))
| equalelemsP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_317,plain,
( ssList(esk39_1(X1))
| duplicatefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_318,plain,
( ssList(esk38_1(X1))
| duplicatefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_319,plain,
( ssList(esk37_1(X1))
| duplicatefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_320,plain,
( ssItem(esk36_1(X1))
| duplicatefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_321,plain,
( ssItem(esk35_1(X1))
| duplicatefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_322,plain,
( ssList(esk34_1(X1))
| strictorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_323,plain,
( ssList(esk33_1(X1))
| strictorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_324,plain,
( ssList(esk32_1(X1))
| strictorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_325,plain,
( ssItem(esk31_1(X1))
| strictorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_326,plain,
( ssItem(esk30_1(X1))
| strictorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_327,plain,
( ssList(esk29_1(X1))
| totalorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_328,plain,
( ssList(esk28_1(X1))
| totalorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_329,plain,
( ssList(esk27_1(X1))
| totalorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_330,plain,
( ssItem(esk26_1(X1))
| totalorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_331,plain,
( ssItem(esk25_1(X1))
| totalorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_332,plain,
( ssList(esk24_1(X1))
| strictorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_333,plain,
( ssList(esk23_1(X1))
| strictorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_334,plain,
( ssList(esk22_1(X1))
| strictorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_335,plain,
( ssItem(esk21_1(X1))
| strictorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_336,plain,
( ssItem(esk20_1(X1))
| strictorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_337,plain,
( ssList(esk19_1(X1))
| totalorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_338,plain,
( ssList(esk18_1(X1))
| totalorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_339,plain,
( ssList(esk17_1(X1))
| totalorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_340,plain,
( ssItem(esk16_1(X1))
| totalorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_341,plain,
( ssItem(esk15_1(X1))
| totalorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_342,plain,
( ssList(esk14_1(X1))
| cyclefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_343,plain,
( ssList(esk13_1(X1))
| cyclefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_344,plain,
( ssList(esk12_1(X1))
| cyclefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_345,plain,
( ssItem(esk11_1(X1))
| cyclefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_346,plain,
( ssItem(esk10_1(X1))
| cyclefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_347,plain,
( geq(X1,X1)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_173]),
[final] ).
cnf(i_0_348,plain,
( leq(X1,X1)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_174]),
[final] ).
cnf(i_0_349,plain,
( segmentP(X1,X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_175]),
[final] ).
cnf(i_0_350,plain,
( rearsegP(X1,X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_176]),
[final] ).
cnf(i_0_351,plain,
( frontsegP(X1,X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_177]),
[final] ).
cnf(i_0_352,plain,
( app(nil,X1) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_178]),
[final] ).
cnf(i_0_353,plain,
( app(X1,nil) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_179]),
[final] ).
cnf(i_0_354,plain,
( esk35_1(X1) = esk36_1(X1)
| duplicatefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_355,plain,
( segmentP(X1,nil)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_180]),
[final] ).
cnf(i_0_356,plain,
( rearsegP(X1,nil)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_181]),
[final] ).
cnf(i_0_357,plain,
( frontsegP(X1,nil)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_182]),
[final] ).
cnf(i_0_358,plain,
( ssList(esk47_1(X1))
| nil = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_183]),
[final] ).
cnf(i_0_359,plain,
( ssList(esk44_1(X1))
| nil = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_159]),
[final] ).
cnf(i_0_360,plain,
( nil = X1
| ssList(tl(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_184]),
[final] ).
cnf(i_0_361,plain,
( ssItem(esk46_1(X1))
| nil = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_185]),
[final] ).
cnf(i_0_362,plain,
( ssItem(esk45_1(X1))
| nil = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_159]),
[final] ).
cnf(i_0_363,plain,
( nil = X1
| ssItem(hd(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_186]),
[final] ).
cnf(i_0_364,negated_conjecture,
~ segmentP(esk49_0,esk48_0),
inference(split_conjunct,[status(thm)],[i_0_130]),
[final] ).
cnf(i_0_365,plain,
( tl(X1) = esk47_1(X1)
| nil = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_183]),
[final] ).
cnf(i_0_366,plain,
( hd(X1) = esk46_1(X1)
| nil = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_185]),
[final] ).
cnf(i_0_367,negated_conjecture,
segmentP(esk51_0,esk50_0),
inference(split_conjunct,[status(thm)],[i_0_130]),
[final] ).
cnf(i_0_368,negated_conjecture,
neq(esk49_0,nil),
inference(split_conjunct,[status(thm)],[i_0_130]),
[final] ).
cnf(i_0_369,plain,
~ singletonP(nil),
inference(split_conjunct,[status(thm)],[i_0_187]),
[final] ).
cnf(i_0_370,plain,
equalelemsP(nil),
inference(split_conjunct,[status(thm)],[ax74]),
[final] ).
cnf(i_0_371,plain,
duplicatefreeP(nil),
inference(split_conjunct,[status(thm)],[ax72]),
[final] ).
cnf(i_0_372,plain,
strictorderedP(nil),
inference(split_conjunct,[status(thm)],[ax69]),
[final] ).
cnf(i_0_373,negated_conjecture,
totalorderedP(esk50_0),
inference(split_conjunct,[status(thm)],[i_0_130]),
[final] ).
cnf(i_0_374,plain,
totalorderedP(nil),
inference(split_conjunct,[status(thm)],[ax66]),
[final] ).
cnf(i_0_375,plain,
strictorderP(nil),
inference(split_conjunct,[status(thm)],[ax64]),
[final] ).
cnf(i_0_376,plain,
totalorderP(nil),
inference(split_conjunct,[status(thm)],[ax62]),
[final] ).
cnf(i_0_377,plain,
cyclefreeP(nil),
inference(split_conjunct,[status(thm)],[ax60]),
[final] ).
cnf(i_0_378,negated_conjecture,
ssList(esk51_0),
inference(split_conjunct,[status(thm)],[i_0_130]),
[final] ).
cnf(i_0_379,negated_conjecture,
ssList(esk50_0),
inference(split_conjunct,[status(thm)],[i_0_130]),
[final] ).
cnf(i_0_380,negated_conjecture,
ssList(esk49_0),
inference(split_conjunct,[status(thm)],[i_0_130]),
[final] ).
cnf(i_0_381,negated_conjecture,
ssList(esk48_0),
inference(split_conjunct,[status(thm)],[i_0_130]),
[final] ).
cnf(i_0_382,plain,
ssList(nil),
inference(split_conjunct,[status(thm)],[ax17]),
[final] ).
cnf(i_0_383,plain,
ssItem(esk2_0),
inference(split_conjunct,[status(thm)],[i_0_188]),
[final] ).
cnf(i_0_384,plain,
ssItem(esk1_0),
inference(split_conjunct,[status(thm)],[i_0_188]),
[final] ).
cnf(i_0_385,plain,
esk1_0 != esk2_0,
inference(split_conjunct,[status(thm)],[i_0_188]),
[final] ).
cnf(i_0_386,negated_conjecture,
esk49_0 = esk51_0,
inference(split_conjunct,[status(thm)],[i_0_130]),
[final] ).
cnf(i_0_387,negated_conjecture,
esk48_0 = esk50_0,
inference(split_conjunct,[status(thm)],[i_0_130]),
[final] ).
cnf(i_0_388,axiom,
X1 = X1 ).
cnf(i_0_389,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_390,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_391,axiom,
( X1 != X2
| app(X1,X3) = app(X2,X3) ) ).
cnf(i_0_392,axiom,
( X1 != X2
| app(X3,X1) = app(X3,X2) ) ).
cnf(i_0_393,axiom,
( X1 != X2
| cons(X1,X3) = cons(X2,X3) ) ).
cnf(i_0_394,axiom,
( X1 != X2
| cons(X3,X1) = cons(X3,X2) ) ).
cnf(i_0_395,axiom,
( X1 != X2
| esk40_1(X1) = esk40_1(X2) ) ).
cnf(i_0_396,axiom,
( X1 != X2
| esk41_1(X1) = esk41_1(X2) ) ).
cnf(i_0_397,axiom,
( X1 != X2
| esk35_1(X1) = esk35_1(X2) ) ).
cnf(i_0_398,axiom,
( X1 != X2
| hd(X1) = hd(X2) ) ).
cnf(i_0_399,axiom,
( X1 != X2
| tl(X1) = tl(X2) ) ).
cnf(i_0_400,axiom,
( X1 != X2
| esk47_1(X1) = esk47_1(X2) ) ).
cnf(i_0_401,axiom,
( X1 != X2
| esk46_1(X1) = esk46_1(X2) ) ).
cnf(i_0_402,axiom,
( X1 != X2
| esk36_1(X1) = esk36_1(X2) ) ).
cnf(i_0_403,axiom,
( X1 != X2
| ~ cyclefreeP(X1)
| cyclefreeP(X2) ) ).
cnf(i_0_404,axiom,
( X1 != X2
| ~ duplicatefreeP(X1)
| duplicatefreeP(X2) ) ).
cnf(i_0_405,axiom,
( X1 != X2
| ~ equalelemsP(X1)
| equalelemsP(X2) ) ).
cnf(i_0_406,axiom,
( X1 != X2
| ~ segmentP(X1,X3)
| segmentP(X2,X3) ) ).
cnf(i_0_407,axiom,
( X1 != X2
| ~ segmentP(X3,X1)
| segmentP(X3,X2) ) ).
cnf(i_0_408,axiom,
( X1 != X2
| ~ memberP(X1,X3)
| memberP(X2,X3) ) ).
cnf(i_0_409,axiom,
( X1 != X2
| ~ memberP(X3,X1)
| memberP(X3,X2) ) ).
cnf(i_0_410,axiom,
( X1 != X2
| ~ frontsegP(X1,X3)
| frontsegP(X2,X3) ) ).
cnf(i_0_411,axiom,
( X1 != X2
| ~ frontsegP(X3,X1)
| frontsegP(X3,X2) ) ).
cnf(i_0_412,axiom,
( X1 != X2
| ~ rearsegP(X1,X3)
| rearsegP(X2,X3) ) ).
cnf(i_0_413,axiom,
( X1 != X2
| ~ rearsegP(X3,X1)
| rearsegP(X3,X2) ) ).
cnf(i_0_414,axiom,
( X1 != X2
| ~ gt(X1,X3)
| gt(X2,X3) ) ).
cnf(i_0_415,axiom,
( X1 != X2
| ~ gt(X3,X1)
| gt(X3,X2) ) ).
cnf(i_0_416,axiom,
( X1 != X2
| ~ geq(X1,X3)
| geq(X2,X3) ) ).
cnf(i_0_417,axiom,
( X1 != X2
| ~ geq(X3,X1)
| geq(X3,X2) ) ).
cnf(i_0_418,axiom,
( X1 != X2
| ~ neq(X1,X3)
| neq(X2,X3) ) ).
cnf(i_0_419,axiom,
( X1 != X2
| ~ neq(X3,X1)
| neq(X3,X2) ) ).
cnf(i_0_420,axiom,
( X1 != X2
| ~ singletonP(X1)
| singletonP(X2) ) ).
cnf(i_0_421,axiom,
( X1 != X2
| ~ ssItem(X1)
| ssItem(X2) ) ).
cnf(i_0_422,axiom,
( X1 != X2
| ~ ssList(X1)
| ssList(X2) ) ).
cnf(i_0_423,axiom,
( X1 != X2
| ~ leq(X1,X3)
| leq(X2,X3) ) ).
cnf(i_0_424,axiom,
( X1 != X2
| ~ leq(X3,X1)
| leq(X3,X2) ) ).
cnf(i_0_425,axiom,
( X1 != X2
| ~ lt(X1,X3)
| lt(X2,X3) ) ).
cnf(i_0_426,axiom,
( X1 != X2
| ~ lt(X3,X1)
| lt(X3,X2) ) ).
cnf(i_0_427,axiom,
( X1 != X2
| ~ strictorderP(X1)
| strictorderP(X2) ) ).
cnf(i_0_428,axiom,
( X1 != X2
| ~ totalorderP(X1)
| totalorderP(X2) ) ).
cnf(i_0_429,axiom,
( X1 != X2
| ~ strictorderedP(X1)
| strictorderedP(X2) ) ).
cnf(i_0_430,axiom,
( X1 != X2
| ~ totalorderedP(X1)
| totalorderedP(X2) ) ).
cnf(i_0_388_001,axiom,
X1 = X1 ).
cnf(i_0_389_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_390_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_391_004,axiom,
( X1 != X2
| app(X1,X3) = app(X2,X3) ) ).
cnf(i_0_392_005,axiom,
( X1 != X2
| app(X3,X1) = app(X3,X2) ) ).
cnf(i_0_393_006,axiom,
( X1 != X2
| cons(X1,X3) = cons(X2,X3) ) ).
cnf(i_0_394_007,axiom,
( X1 != X2
| cons(X3,X1) = cons(X3,X2) ) ).
cnf(i_0_395_008,axiom,
( X1 != X2
| esk40_1(X1) = esk40_1(X2) ) ).
cnf(i_0_396_009,axiom,
( X1 != X2
| esk41_1(X1) = esk41_1(X2) ) ).
cnf(i_0_397_010,axiom,
( X1 != X2
| esk35_1(X1) = esk35_1(X2) ) ).
cnf(i_0_398_011,axiom,
( X1 != X2
| hd(X1) = hd(X2) ) ).
cnf(i_0_399_012,axiom,
( X1 != X2
| tl(X1) = tl(X2) ) ).
cnf(i_0_400_013,axiom,
( X1 != X2
| esk47_1(X1) = esk47_1(X2) ) ).
cnf(i_0_401_014,axiom,
( X1 != X2
| esk46_1(X1) = esk46_1(X2) ) ).
cnf(i_0_402_015,axiom,
( X1 != X2
| esk36_1(X1) = esk36_1(X2) ) ).
cnf(i_0_403_016,axiom,
( X1 != X2
| ~ cyclefreeP(X1)
| cyclefreeP(X2) ) ).
cnf(i_0_404_017,axiom,
( X1 != X2
| ~ duplicatefreeP(X1)
| duplicatefreeP(X2) ) ).
cnf(i_0_405_018,axiom,
( X1 != X2
| ~ equalelemsP(X1)
| equalelemsP(X2) ) ).
cnf(i_0_406_019,axiom,
( X1 != X2
| ~ segmentP(X1,X3)
| segmentP(X2,X3) ) ).
cnf(i_0_407_020,axiom,
( X1 != X2
| ~ segmentP(X3,X1)
| segmentP(X3,X2) ) ).
cnf(i_0_408_021,axiom,
( X1 != X2
| ~ memberP(X1,X3)
| memberP(X2,X3) ) ).
cnf(i_0_409_022,axiom,
( X1 != X2
| ~ memberP(X3,X1)
| memberP(X3,X2) ) ).
cnf(i_0_410_023,axiom,
( X1 != X2
| ~ frontsegP(X1,X3)
| frontsegP(X2,X3) ) ).
cnf(i_0_411_024,axiom,
( X1 != X2
| ~ frontsegP(X3,X1)
| frontsegP(X3,X2) ) ).
cnf(i_0_412_025,axiom,
( X1 != X2
| ~ rearsegP(X1,X3)
| rearsegP(X2,X3) ) ).
cnf(i_0_413_026,axiom,
( X1 != X2
| ~ rearsegP(X3,X1)
| rearsegP(X3,X2) ) ).
cnf(i_0_414_027,axiom,
( X1 != X2
| ~ gt(X1,X3)
| gt(X2,X3) ) ).
cnf(i_0_415_028,axiom,
( X1 != X2
| ~ gt(X3,X1)
| gt(X3,X2) ) ).
cnf(i_0_416_029,axiom,
( X1 != X2
| ~ geq(X1,X3)
| geq(X2,X3) ) ).
cnf(i_0_417_030,axiom,
( X1 != X2
| ~ geq(X3,X1)
| geq(X3,X2) ) ).
cnf(i_0_418_031,axiom,
( X1 != X2
| ~ neq(X1,X3)
| neq(X2,X3) ) ).
cnf(i_0_419_032,axiom,
( X1 != X2
| ~ neq(X3,X1)
| neq(X3,X2) ) ).
cnf(i_0_420_033,axiom,
( X1 != X2
| ~ singletonP(X1)
| singletonP(X2) ) ).
cnf(i_0_421_034,axiom,
( X1 != X2
| ~ ssItem(X1)
| ssItem(X2) ) ).
cnf(i_0_422_035,axiom,
( X1 != X2
| ~ ssList(X1)
| ssList(X2) ) ).
cnf(i_0_423_036,axiom,
( X1 != X2
| ~ leq(X1,X3)
| leq(X2,X3) ) ).
cnf(i_0_424_037,axiom,
( X1 != X2
| ~ leq(X3,X1)
| leq(X3,X2) ) ).
cnf(i_0_425_038,axiom,
( X1 != X2
| ~ lt(X1,X3)
| lt(X2,X3) ) ).
cnf(i_0_426_039,axiom,
( X1 != X2
| ~ lt(X3,X1)
| lt(X3,X2) ) ).
cnf(i_0_427_040,axiom,
( X1 != X2
| ~ strictorderP(X1)
| strictorderP(X2) ) ).
cnf(i_0_428_041,axiom,
( X1 != X2
| ~ totalorderP(X1)
| totalorderP(X2) ) ).
cnf(i_0_429_042,axiom,
( X1 != X2
| ~ strictorderedP(X1)
| strictorderedP(X2) ) ).
cnf(i_0_430_043,axiom,
( X1 != X2
| ~ totalorderedP(X1)
| totalorderedP(X2) ) ).
cnf(i_0_431,plain,
( ~ leq(X1,X2)
| ~ leq(X2,X1)
| ~ ssList(app(app(X3,cons(X1,X4)),cons(X2,X5)))
| ~ cyclefreeP(app(app(X3,cons(X1,X4)),cons(X2,X5)))
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssList(X5) ),
inference(equality_inference,[],[189]) ).
cnf(i_0_432,plain,
( lt(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(app(app(X3,cons(X2,X4)),cons(X1,X5)))
| lt(X2,X1)
| ~ strictorderP(app(app(X3,cons(X2,X4)),cons(X1,X5)))
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssList(X5) ),
inference(equality_inference,[],[190]) ).
cnf(i_0_433,plain,
( leq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(app(app(X3,cons(X2,X4)),cons(X1,X5)))
| leq(X2,X1)
| ~ totalorderP(app(app(X3,cons(X2,X4)),cons(X1,X5)))
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssList(X5) ),
inference(equality_inference,[],[191]) ).
cnf(i_0_434,plain,
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(app(app(X3,cons(X1,X4)),cons(X2,X5)))
| lt(X1,X2)
| ~ strictorderedP(app(app(X3,cons(X1,X4)),cons(X2,X5)))
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssList(X5) ),
inference(equality_inference,[],[192]) ).
cnf(i_0_435,plain,
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(app(app(X3,cons(X1,X4)),cons(X2,X5)))
| leq(X1,X2)
| ~ totalorderedP(app(app(X3,cons(X1,X4)),cons(X2,X5)))
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssList(X5) ),
inference(equality_inference,[],[193]) ).
cnf(i_0_436,plain,
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(app(X3,cons(X1,cons(X2,X4))))
| X1 = X2
| ~ equalelemsP(app(X3,cons(X1,cons(X2,X4))))
| ~ ssList(X3)
| ~ ssList(X4) ),
inference(equality_inference,[],[201]) ).
cnf(i_0_437,plain,
( ~ frontsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X3)
| ~ ssItem(X3)
| frontsegP(cons(X3,X1),cons(X3,X2)) ),
inference(equality_inference,[],[208]) ).
cnf(i_0_438,plain,
( ~ ssList(X1)
| ~ ssList(app(app(X2,X1),X3))
| segmentP(app(app(X2,X1),X3),X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(equality_inference,[],[210]) ).
cnf(i_0_439,plain,
( ~ ssItem(X1)
| ~ ssList(app(X2,cons(X1,X3)))
| memberP(app(X2,cons(X1,X3)),X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(equality_inference,[],[211]) ).
cnf(i_0_440,plain,
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X2)
| X1 = X1 ),
inference(equality_inference,[],[235]) ).
cnf(i_0_441,plain,
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X2)
| X2 = X2 ),
inference(equality_inference,[],[236]) ).
cnf(i_0_442,plain,
( ~ ssList(X1)
| ~ ssList(X1)
| X1 = X1
| ~ ssList(X2) ),
inference(equality_inference,[],[239]) ).
cnf(i_0_443,plain,
( ~ ssList(X1)
| ~ ssList(X1)
| X1 = X1
| ~ ssList(X2) ),
inference(equality_inference,[],[240]) ).
cnf(i_0_444,plain,
( ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssItem(X2)
| memberP(cons(X2,X1),X2) ),
inference(equality_inference,[],[248]) ).
cnf(i_0_445,plain,
( ~ ssList(X1)
| ~ ssList(app(X2,X1))
| rearsegP(app(X2,X1),X1)
| ~ ssList(X2) ),
inference(equality_inference,[],[255]) ).
cnf(i_0_446,plain,
( ~ ssList(X1)
| ~ ssList(app(X1,X2))
| frontsegP(app(X1,X2),X1)
| ~ ssList(X2) ),
inference(equality_inference,[],[256]) ).
cnf(i_0_447,plain,
( ~ ssList(nil)
| ~ ssItem(X1)
| strictorderedP(cons(X1,nil)) ),
inference(equality_inference,[],[273]) ).
cnf(i_0_448,plain,
( ~ ssList(nil)
| ~ ssItem(X1)
| totalorderedP(cons(X1,nil)) ),
inference(equality_inference,[],[274]) ).
cnf(i_0_449,plain,
( ~ ssList(X1)
| ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(equality_inference,[],[280]) ).
cnf(i_0_450,plain,
( ~ lt(X1,X1)
| ~ ssItem(X1)
| ~ ssItem(X1) ),
inference(equality_inference,[],[281]) ).
cnf(i_0_451,plain,
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ neq(X1,X1) ),
inference(equality_inference,[],[282]) ).
cnf(i_0_452,plain,
( ~ ssList(cons(X1,nil))
| singletonP(cons(X1,nil))
| ~ ssItem(X1) ),
inference(equality_inference,[],[283]) ).
cnf(i_0_453,plain,
( ~ ssList(nil)
| segmentP(nil,nil) ),
inference(equality_inference,[],[310]) ).
cnf(i_0_454,plain,
( ~ ssList(nil)
| rearsegP(nil,nil) ),
inference(equality_inference,[],[311]) ).
cnf(i_0_455,plain,
( ~ ssList(nil)
| frontsegP(nil,nil) ),
inference(equality_inference,[],[312]) ).
cnf(i_0_456,plain,
segmentP(esk51_0,esk51_0),
inference(scs_inference,[],[i_0_378,i_0_349]) ).
cnf(i_0_457,plain,
( ~ ssList(X1)
| segmentP(X1,X1) ),
inference(rename_variables,[],[i_0_349]) ).
cnf(i_0_458,plain,
geq(esk2_0,esk2_0),
inference(scs_inference,[],[i_0_378,i_0_383,i_0_349,i_0_347]) ).
cnf(i_0_459,plain,
( ~ ssItem(X1)
| geq(X1,X1) ),
inference(rename_variables,[],[i_0_347]) ).
cnf(i_0_460,plain,
leq(esk2_0,esk2_0),
inference(scs_inference,[],[i_0_378,i_0_383,i_0_349,i_0_347,i_0_348]) ).
cnf(i_0_461,plain,
( ~ ssItem(X1)
| leq(X1,X1) ),
inference(rename_variables,[],[i_0_348]) ).
cnf(i_0_462,plain,
rearsegP(esk51_0,esk51_0),
inference(scs_inference,[],[i_0_378,i_0_383,i_0_349,i_0_347,i_0_348,i_0_350]) ).
cnf(i_0_463,plain,
( ~ ssList(X1)
| rearsegP(X1,X1) ),
inference(rename_variables,[],[i_0_350]) ).
cnf(i_0_464,plain,
frontsegP(esk51_0,esk51_0),
inference(scs_inference,[],[i_0_378,i_0_383,i_0_349,i_0_347,i_0_348,i_0_350,i_0_351]) ).
cnf(i_0_465,plain,
( ~ ssList(X1)
| frontsegP(X1,X1) ),
inference(rename_variables,[],[i_0_351]) ).
cnf(i_0_466,plain,
esk51_0 = esk49_0,
inference(scs_inference,[],[i_0_378,i_0_386,i_0_383,i_0_349,i_0_347,i_0_348,i_0_350,i_0_351,i_0_389]) ).
cnf(i_0_467,plain,
~ neq(esk51_0,esk51_0),
inference(scs_inference,[],[i_0_378,i_0_386,i_0_383,i_0_349,i_0_347,i_0_348,i_0_350,i_0_351,i_0_389,i_0_449]) ).
cnf(i_0_468,plain,
( ~ ssList(X1)
| ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(rename_variables,[],[i_0_449]) ).
cnf(i_0_469,plain,
~ neq(esk2_0,esk2_0),
inference(scs_inference,[],[i_0_378,i_0_386,i_0_383,i_0_349,i_0_347,i_0_348,i_0_350,i_0_351,i_0_389,i_0_449,i_0_451]) ).
cnf(i_0_470,plain,
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ neq(X1,X1) ),
inference(rename_variables,[],[i_0_451]) ).
cnf(i_0_471,plain,
~ segmentP(esk51_0,esk48_0),
inference(scs_inference,[],[i_0_364,i_0_378,i_0_386,i_0_383,i_0_349,i_0_347,i_0_348,i_0_350,i_0_351,i_0_389,i_0_449,i_0_451,i_0_406]) ).
cnf(i_0_472,plain,
esk50_0 != esk48_0,
inference(scs_inference,[],[i_0_364,i_0_367,i_0_378,i_0_386,i_0_383,i_0_349,i_0_347,i_0_348,i_0_350,i_0_351,i_0_389,i_0_449,i_0_451,i_0_406,i_0_407]) ).
cnf(i_0_473,plain,
~ neq(esk49_0,esk51_0),
inference(scs_inference,[],[i_0_364,i_0_367,i_0_378,i_0_386,i_0_383,i_0_349,i_0_347,i_0_348,i_0_350,i_0_351,i_0_389,i_0_449,i_0_451,i_0_406,i_0_407,i_0_418]) ).
cnf(i_0_474,plain,
~ neq(esk51_0,esk49_0),
inference(scs_inference,[],[i_0_364,i_0_367,i_0_378,i_0_386,i_0_383,i_0_349,i_0_347,i_0_348,i_0_350,i_0_351,i_0_389,i_0_449,i_0_451,i_0_406,i_0_407,i_0_418,i_0_419]) ).
cnf(i_0_475,plain,
~ neq(esk48_0,esk50_0),
inference(scs_inference,[],[i_0_364,i_0_367,i_0_378,i_0_379,i_0_381,i_0_386,i_0_387,i_0_383,i_0_349,i_0_347,i_0_348,i_0_350,i_0_351,i_0_389,i_0_449,i_0_451,i_0_406,i_0_407,i_0_418,i_0_419,i_0_280]) ).
cnf(i_0_476,plain,
( X1 != X2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ neq(X1,X2) ),
inference(rename_variables,[],[i_0_280]) ).
cnf(i_0_477,plain,
memberP(cons(esk2_0,esk51_0),esk2_0),
inference(scs_inference,[],[i_0_364,i_0_367,i_0_378,i_0_379,i_0_381,i_0_386,i_0_387,i_0_383,i_0_349,i_0_347,i_0_348,i_0_350,i_0_351,i_0_389,i_0_449,i_0_451,i_0_406,i_0_407,i_0_418,i_0_419,i_0_280,i_0_444]) ).
cnf(i_0_478,plain,
( ~ ssItem(X1)
| ~ ssItem(X1)
| memberP(cons(X1,X2),X1)
| ~ ssList(X2) ),
inference(rename_variables,[],[i_0_444]) ).
cnf(i_0_479,plain,
frontsegP(cons(esk2_0,esk51_0),cons(esk2_0,esk51_0)),
inference(scs_inference,[],[i_0_364,i_0_367,i_0_378,i_0_379,i_0_381,i_0_386,i_0_387,i_0_383,i_0_349,i_0_347,i_0_348,i_0_350,i_0_351,i_0_389,i_0_449,i_0_451,i_0_406,i_0_407,i_0_418,i_0_419,i_0_280,i_0_444,i_0_437]) ).
cnf(i_0_480,plain,
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X3)
| frontsegP(cons(X3,X2),cons(X3,X1))
| ~ frontsegP(X2,X1) ),
inference(rename_variables,[],[i_0_437]) ).
cnf(i_0_481,plain,
( ssList(X1)
| esk50_0 != X1 ),
inference(scs_inference,[],[i_0_364,i_0_367,i_0_378,i_0_379,i_0_381,i_0_386,i_0_387,i_0_383,i_0_349,i_0_347,i_0_348,i_0_350,i_0_351,i_0_389,i_0_449,i_0_451,i_0_406,i_0_407,i_0_418,i_0_419,i_0_280,i_0_444,i_0_437,i_0_422]) ).
cnf(i_0_482,plain,
( rearsegP(app(esk51_0,esk51_0),esk51_0)
| esk50_0 != app(esk51_0,esk51_0) ),
inference(scs_inference,[],[i_0_364,i_0_367,i_0_378,i_0_379,i_0_381,i_0_386,i_0_387,i_0_383,i_0_349,i_0_347,i_0_348,i_0_350,i_0_351,i_0_389,i_0_449,i_0_451,i_0_406,i_0_407,i_0_418,i_0_419,i_0_280,i_0_444,i_0_437,i_0_422,i_0_445]) ).
cnf(i_0_483,plain,
( ~ ssList(X1)
| rearsegP(app(X1,X2),X2)
| ~ ssList(X2)
| ~ ssList(app(X1,X2)) ),
inference(rename_variables,[],[i_0_445]) ).
cnf(i_0_484,plain,
( frontsegP(app(esk51_0,esk51_0),esk51_0)
| esk50_0 != app(esk51_0,esk51_0) ),
inference(scs_inference,[],[i_0_364,i_0_367,i_0_378,i_0_379,i_0_381,i_0_386,i_0_387,i_0_383,i_0_349,i_0_347,i_0_348,i_0_350,i_0_351,i_0_389,i_0_449,i_0_451,i_0_406,i_0_407,i_0_418,i_0_419,i_0_280,i_0_444,i_0_437,i_0_422,i_0_445,i_0_446]) ).
cnf(i_0_485,plain,
( ~ ssList(X1)
| frontsegP(app(X2,X1),X2)
| ~ ssList(X2)
| ~ ssList(app(X2,X1)) ),
inference(rename_variables,[],[i_0_446]) ).
cnf(i_0_487,plain,
ssList(esk50_0),
inference(equality_inference,[],[481]) ).
cnf(i_0_488,plain,
segmentP(esk49_0,esk49_0),
inference(scs_inference,[],[i_0_380,i_0_349]) ).
cnf(i_0_489,plain,
( ~ ssList(X1)
| segmentP(X1,X1) ),
inference(rename_variables,[],[i_0_349]) ).
cnf(i_0_490,plain,
rearsegP(esk49_0,esk49_0),
inference(scs_inference,[],[i_0_380,i_0_349,i_0_350]) ).
cnf(i_0_491,plain,
( ~ ssList(X1)
| rearsegP(X1,X1) ),
inference(rename_variables,[],[i_0_350]) ).
cnf(i_0_492,plain,
frontsegP(esk49_0,esk49_0),
inference(scs_inference,[],[i_0_380,i_0_349,i_0_350,i_0_351]) ).
cnf(i_0_493,plain,
( ~ ssList(X1)
| frontsegP(X1,X1) ),
inference(rename_variables,[],[i_0_351]) ).
cnf(i_0_494,plain,
geq(esk1_0,esk1_0),
inference(scs_inference,[],[i_0_380,i_0_384,i_0_349,i_0_350,i_0_351,i_0_347]) ).
cnf(i_0_495,plain,
( ~ ssItem(X1)
| geq(X1,X1) ),
inference(rename_variables,[],[i_0_347]) ).
cnf(i_0_496,plain,
leq(esk1_0,esk1_0),
inference(scs_inference,[],[i_0_380,i_0_384,i_0_349,i_0_350,i_0_351,i_0_347,i_0_348]) ).
cnf(i_0_497,plain,
( ~ ssItem(X1)
| leq(X1,X1) ),
inference(rename_variables,[],[i_0_348]) ).
cnf(i_0_498,plain,
$false,
inference(scs_inference,[],[i_0_380,i_0_387,i_0_472,i_0_384,i_0_349,i_0_350,i_0_351,i_0_347,i_0_348,i_0_389]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC360+1 : TPTP v9.2.1. Released v2.4.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n021.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 04:46:55 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 0.38/1.62 % Version : CSE_E---1.7
% 0.38/1.62 % Problem : theBenchmark.p
% 0.38/1.62 % SZS status Theorem for theBenchmark.p
% 0.38/1.62 % SZS output start CNFRefutation
% See solution above
% 0.48/1.79 % Total time : 1.272s
%------------------------------------------------------------------------------