%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWC297+1 : TPTP v9.2.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n016.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 05:19:04 PM UTC 2026
% Result : Theorem 1.87s 1.88s
% Output : CNFRefutation 1.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 24
% Syntax : Number of formulae : 154 ( 29 unt; 0 def)
% Number of atoms : 582 ( 181 equ)
% Maximal formula atoms : 27 ( 3 avg)
% Number of connectives : 717 ( 289 ~; 303 |; 49 &)
% ( 7 <=>; 69 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 10 con; 0-2 aty)
% Number of variables : 208 ( 0 sgn 113 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( ssList(X7)
=> ( app(app(X6,cons(X5,nil)),X7) != X1
| ! [X8] :
( ssItem(X8)
=> ( ( ~ memberP(X6,X8)
| lt(X8,X5) )
& ( ~ memberP(X7,X8)
| lt(X5,X8) ) ) ) ) ) ) )
| ( nil != X3
& nil = X4 )
| ( ! [X9] :
( ssItem(X9)
=> ( cons(X9,nil) != X3
| ~ memberP(X4,X9) ) )
& neq(X4,nil) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(ax82,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> app(app(X1,X2),X3) = app(X1,app(X2,X3)) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax82) ).
fof(ax16,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> ssList(cons(X2,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax16) ).
fof(ax5,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( frontsegP(X1,X2)
<=> ? [X3] :
( ssList(X3)
& app(X2,X3) = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax5) ).
fof(ax26,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ssList(app(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax26) ).
fof(ax17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).
fof(ax81,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> cons(X2,X1) = app(cons(X2,nil),X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax81) ).
fof(ax80,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( app(X2,X3) = app(X2,X1)
=> X3 = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax80) ).
fof(ax15,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( neq(X1,X2)
<=> X1 != X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax15) ).
fof(ax4,axiom,
! [X1] :
( ssList(X1)
=> ( singletonP(X1)
<=> ? [X2] :
( ssItem(X2)
& cons(X2,nil) = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax4) ).
fof(ax25,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> tl(cons(X2,X1)) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax25) ).
fof(ax78,axiom,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> cons(hd(X1),tl(X1)) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax78) ).
fof(ax7,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( segmentP(X1,X2)
<=> ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& app(app(X3,X2),X4) = X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax7) ).
fof(ax23,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> hd(cons(X2,X1)) = X2 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax23) ).
fof(ax38,axiom,
! [X1] :
( ssItem(X1)
=> ~ memberP(nil,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax38) ).
fof(ax3,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> ( memberP(X1,X2)
<=> ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& app(X3,cons(X2,X4)) = X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax3) ).
fof(ax28,axiom,
! [X1] :
( ssList(X1)
=> app(nil,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax28) ).
fof(ax19,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssItem(X3)
=> ! [X4] :
( ssItem(X4)
=> ( cons(X3,X1) = cons(X4,X2)
=> ( X3 = X4
& X2 = X1 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax19) ).
fof(ax22,axiom,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> ssItem(hd(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax22) ).
fof(ax37,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ( memberP(cons(X2,X3),X1)
<=> ( X1 = X2
| memberP(X3,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax37) ).
fof(ax54,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( segmentP(X1,X2)
& segmentP(X2,X1) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax54) ).
fof(ax84,axiom,
! [X1] :
( ssList(X1)
=> app(X1,nil) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax84) ).
fof(ax83,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( nil = app(X1,X2)
<=> ( nil = X2
& nil = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax83) ).
fof(ax79,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( app(X3,X2) = app(X1,X2)
=> X3 = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax79) ).
fof(c_0_24,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( ssList(X7)
=> ( app(app(X6,cons(X5,nil)),X7) != X1
| ! [X8] :
( ssItem(X8)
=> ( ( ~ memberP(X6,X8)
| lt(X8,X5) )
& ( ~ memberP(X7,X8)
| lt(X5,X8) ) ) ) ) ) ) )
| ( nil != X3
& nil = X4 )
| ( ! [X9] :
( ssItem(X9)
=> ( cons(X9,nil) != X3
| ~ memberP(X4,X9) ) )
& neq(X4,nil) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).
fof(c_0_25,negated_conjecture,
( ssList(esk48_0)
& ssList(esk49_0)
& ssList(esk50_0)
& ssList(esk51_0)
& esk49_0 = esk51_0
& esk48_0 = esk50_0
& ssItem(esk52_0)
& ssList(esk53_0)
& ssList(esk54_0)
& app(app(esk53_0,cons(esk52_0,nil)),esk54_0) = esk48_0
& ssItem(esk55_0)
& ( memberP(esk54_0,esk55_0)
| memberP(esk53_0,esk55_0) )
& ( ~ lt(esk52_0,esk55_0)
| memberP(esk53_0,esk55_0) )
& ( memberP(esk54_0,esk55_0)
| ~ lt(esk55_0,esk52_0) )
& ( ~ lt(esk52_0,esk55_0)
| ~ lt(esk55_0,esk52_0) )
& ( nil = esk50_0
| nil != esk51_0 )
& ( ssItem(esk56_0)
| ~ neq(esk51_0,nil) )
& ( cons(esk56_0,nil) = esk50_0
| ~ neq(esk51_0,nil) )
& ( memberP(esk51_0,esk56_0)
| ~ neq(esk51_0,nil) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])]) ).
cnf(c_0_26,negated_conjecture,
app(app(esk53_0,cons(esk52_0,nil)),esk54_0) = esk48_0,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_27,negated_conjecture,
esk48_0 = esk50_0,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_28,plain,
! [X437,X438,X439] :
( ~ ssList(X437)
| ~ ssList(X438)
| ~ ssList(X439)
| app(app(X437,X438),X439) = app(X437,app(X438,X439)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax82])])]) ).
cnf(c_0_29,negated_conjecture,
app(app(esk53_0,cons(esk52_0,nil)),esk54_0) = esk50_0,
inference(rw,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_30,plain,
( app(app(X1,X2),X3) = app(X1,app(X2,X3))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_31,negated_conjecture,
ssList(esk54_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_32,negated_conjecture,
ssList(esk53_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_33,plain,
! [X326,X327] :
( ~ ssList(X326)
| ~ ssItem(X327)
| ssList(cons(X327,X326)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax16])])]) ).
fof(c_0_34,plain,
! [X235,X236,X238] :
( ( ssList(esk6_2(X235,X236))
| ~ frontsegP(X235,X236)
| ~ ssList(X236)
| ~ ssList(X235) )
& ( app(X236,esk6_2(X235,X236)) = X235
| ~ frontsegP(X235,X236)
| ~ ssList(X236)
| ~ ssList(X235) )
& ( ~ ssList(X238)
| app(X236,X238) != X235
| frontsegP(X235,X236)
| ~ ssList(X236)
| ~ ssList(X235) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax5])])])])]) ).
fof(c_0_35,plain,
! [X345,X346] :
( ~ ssList(X345)
| ~ ssList(X346)
| ssList(app(X345,X346)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax26])])]) ).
cnf(c_0_36,negated_conjecture,
( app(esk53_0,app(cons(esk52_0,nil),esk54_0)) = esk50_0
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]),c_0_32])]) ).
cnf(c_0_37,plain,
( ssList(cons(X2,X1))
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_38,plain,
ssList(nil),
inference(split_conjunct,[status(thm)],[ax17]) ).
cnf(c_0_39,negated_conjecture,
ssItem(esk52_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_40,plain,
! [X435,X436] :
( ~ ssList(X435)
| ~ ssItem(X436)
| cons(X436,X435) = app(cons(X436,nil),X435) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax81])])]) ).
cnf(c_0_41,plain,
( frontsegP(X3,X2)
| ~ ssList(X1)
| app(X2,X1) != X3
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_42,plain,
( ssList(app(X1,X2))
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_43,negated_conjecture,
app(esk53_0,app(cons(esk52_0,nil),esk54_0)) = esk50_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]),c_0_39])]) ).
cnf(c_0_44,plain,
( cons(X2,X1) = app(cons(X2,nil),X1)
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_45,plain,
( frontsegP(app(X1,X2),X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_41]),c_0_42]) ).
cnf(c_0_46,negated_conjecture,
app(esk53_0,cons(esk52_0,esk54_0)) = esk50_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_31]),c_0_39])]) ).
cnf(c_0_47,negated_conjecture,
( frontsegP(esk50_0,esk53_0)
| ~ ssList(cons(esk52_0,esk54_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_32])]) ).
cnf(c_0_48,negated_conjecture,
ssList(esk48_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_49,plain,
! [X432,X433,X434] :
( ~ ssList(X432)
| ~ ssList(X433)
| ~ ssList(X434)
| app(X433,X434) != app(X433,X432)
| X434 = X432 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax80])])]) ).
cnf(c_0_50,plain,
( app(X1,esk6_2(X2,X1)) = X2
| ~ frontsegP(X2,X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_51,negated_conjecture,
frontsegP(esk50_0,esk53_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_37]),c_0_31]),c_0_39])]) ).
cnf(c_0_52,negated_conjecture,
ssList(esk50_0),
inference(rw,[status(thm)],[c_0_48,c_0_27]) ).
cnf(c_0_53,plain,
( ssList(esk6_2(X1,X2))
| ~ frontsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_54,plain,
( X3 = X1
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| app(X2,X3) != app(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_55,negated_conjecture,
app(esk53_0,esk6_2(esk50_0,esk53_0)) = esk50_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]),c_0_32])]) ).
cnf(c_0_56,negated_conjecture,
ssList(esk6_2(esk50_0,esk53_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_51]),c_0_32]),c_0_52])]) ).
cnf(c_0_57,negated_conjecture,
( X1 = esk6_2(esk50_0,esk53_0)
| app(esk53_0,X1) != esk50_0
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]),c_0_32])]) ).
fof(c_0_58,plain,
! [X324,X325] :
( ( ~ neq(X324,X325)
| X324 != X325
| ~ ssList(X325)
| ~ ssList(X324) )
& ( X324 = X325
| neq(X324,X325)
| ~ ssList(X325)
| ~ ssList(X324) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax15])])])]) ).
cnf(c_0_59,negated_conjecture,
ssList(esk49_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_60,negated_conjecture,
esk49_0 = esk51_0,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_61,negated_conjecture,
( esk6_2(esk50_0,esk53_0) = cons(esk52_0,esk54_0)
| ~ ssList(cons(esk52_0,esk54_0)) ),
inference(spm,[status(thm)],[c_0_57,c_0_46]) ).
fof(c_0_62,plain,
! [X232,X234] :
( ( ssItem(esk5_1(X232))
| ~ singletonP(X232)
| ~ ssList(X232) )
& ( cons(esk5_1(X232),nil) = X232
| ~ singletonP(X232)
| ~ ssList(X232) )
& ( ~ ssItem(X234)
| cons(X234,nil) != X232
| singletonP(X232)
| ~ 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)],[ax4])])])])]) ).
fof(c_0_63,plain,
! [X343,X344] :
( ~ ssList(X343)
| ~ ssItem(X344)
| tl(cons(X344,X343)) = X343 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax25])])]) ).
cnf(c_0_64,negated_conjecture,
( cons(esk56_0,nil) = esk50_0
| ~ neq(esk51_0,nil) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_65,plain,
( X1 = X2
| neq(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_66,negated_conjecture,
ssList(esk51_0),
inference(rw,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_67,negated_conjecture,
( ssItem(esk56_0)
| ~ neq(esk51_0,nil) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_68,negated_conjecture,
esk6_2(esk50_0,esk53_0) = cons(esk52_0,esk54_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_37]),c_0_31]),c_0_39])]) ).
cnf(c_0_69,plain,
( singletonP(X2)
| ~ ssItem(X1)
| cons(X1,nil) != X2
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
fof(c_0_70,plain,
! [X428] :
( ~ ssList(X428)
| nil = X428
| cons(hd(X428),tl(X428)) = X428 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax78])]) ).
cnf(c_0_71,plain,
( tl(cons(X2,X1)) = X1
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_72,negated_conjecture,
( cons(esk56_0,nil) = esk50_0
| esk51_0 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_38]),c_0_66])]) ).
cnf(c_0_73,negated_conjecture,
( esk51_0 = nil
| ssItem(esk56_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_65]),c_0_38]),c_0_66])]) ).
fof(c_0_74,plain,
! [X243,X244,X247,X248] :
( ( ssList(esk8_2(X243,X244))
| ~ segmentP(X243,X244)
| ~ ssList(X244)
| ~ ssList(X243) )
& ( ssList(esk9_2(X243,X244))
| ~ segmentP(X243,X244)
| ~ ssList(X244)
| ~ ssList(X243) )
& ( app(app(esk8_2(X243,X244),X244),esk9_2(X243,X244)) = X243
| ~ segmentP(X243,X244)
| ~ ssList(X244)
| ~ ssList(X243) )
& ( ~ ssList(X247)
| ~ ssList(X248)
| app(app(X247,X244),X248) != X243
| segmentP(X243,X244)
| ~ ssList(X244)
| ~ ssList(X243) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax7])])])])]) ).
cnf(c_0_75,negated_conjecture,
( X1 = cons(esk52_0,esk54_0)
| app(esk53_0,X1) != esk50_0
| ~ ssList(X1) ),
inference(rw,[status(thm)],[c_0_57,c_0_68]) ).
fof(c_0_76,plain,
! [X340,X341] :
( ~ ssList(X340)
| ~ ssItem(X341)
| hd(cons(X341,X340)) = X341 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax23])])]) ).
cnf(c_0_77,plain,
( singletonP(cons(X1,nil))
| ~ ssList(cons(X1,nil))
| ~ ssItem(X1) ),
inference(er,[status(thm)],[c_0_69]) ).
cnf(c_0_78,plain,
( nil = X1
| cons(hd(X1),tl(X1)) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_79,negated_conjecture,
( tl(esk50_0) = nil
| esk51_0 = nil ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_38])]),c_0_73]) ).
cnf(c_0_80,negated_conjecture,
( nil = esk50_0
| nil != esk51_0 ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_81,plain,
! [X1] :
( ssItem(X1)
=> ~ memberP(nil,X1) ),
inference(fof_simplification,[status(thm)],[ax38]) ).
fof(c_0_82,plain,
! [X226,X227,X230,X231] :
( ( ssList(esk3_2(X226,X227))
| ~ memberP(X226,X227)
| ~ ssItem(X227)
| ~ ssList(X226) )
& ( ssList(esk4_2(X226,X227))
| ~ memberP(X226,X227)
| ~ ssItem(X227)
| ~ ssList(X226) )
& ( app(esk3_2(X226,X227),cons(X227,esk4_2(X226,X227))) = X226
| ~ memberP(X226,X227)
| ~ ssItem(X227)
| ~ ssList(X226) )
& ( ~ ssList(X230)
| ~ ssList(X231)
| app(X230,cons(X227,X231)) != X226
| memberP(X226,X227)
| ~ ssItem(X227)
| ~ ssList(X226) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax3])])])])]) ).
cnf(c_0_83,plain,
( segmentP(X4,X3)
| ~ ssList(X1)
| ~ ssList(X2)
| app(app(X1,X3),X2) != X4
| ~ ssList(X3)
| ~ ssList(X4) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
fof(c_0_84,plain,
! [X350] :
( ~ ssList(X350)
| app(nil,X350) = X350 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])]) ).
cnf(c_0_85,negated_conjecture,
( app(cons(esk52_0,nil),esk54_0) = cons(esk52_0,esk54_0)
| ~ ssList(app(cons(esk52_0,nil),esk54_0)) ),
inference(spm,[status(thm)],[c_0_75,c_0_43]) ).
fof(c_0_86,plain,
! [X330,X331,X332,X333] :
( ( X332 = X333
| cons(X332,X330) != cons(X333,X331)
| ~ ssItem(X333)
| ~ ssItem(X332)
| ~ ssList(X331)
| ~ ssList(X330) )
& ( X331 = X330
| cons(X332,X330) != cons(X333,X331)
| ~ ssItem(X333)
| ~ ssItem(X332)
| ~ ssList(X331)
| ~ ssList(X330) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax19])])])]) ).
cnf(c_0_87,plain,
( hd(cons(X2,X1)) = X2
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_88,plain,
( cons(esk5_1(X1),nil) = X1
| ~ singletonP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_89,plain,
( ssItem(esk5_1(X1))
| ~ singletonP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_90,plain,
( singletonP(cons(X1,nil))
| ~ ssItem(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_37]),c_0_38])]) ).
cnf(c_0_91,negated_conjecture,
( cons(hd(esk50_0),nil) = esk50_0
| esk50_0 = nil ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_52])]),c_0_80]) ).
fof(c_0_92,plain,
! [X339] :
( ~ ssList(X339)
| nil = X339
| ssItem(hd(X339)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax22])]) ).
fof(c_0_93,plain,
! [X369,X370,X371] :
( ( ~ memberP(cons(X370,X371),X369)
| X369 = X370
| memberP(X371,X369)
| ~ ssList(X371)
| ~ ssItem(X370)
| ~ ssItem(X369) )
& ( X369 != X370
| memberP(cons(X370,X371),X369)
| ~ ssList(X371)
| ~ ssItem(X370)
| ~ ssItem(X369) )
& ( ~ memberP(X371,X369)
| memberP(cons(X370,X371),X369)
| ~ ssList(X371)
| ~ ssItem(X370)
| ~ ssItem(X369) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax37])])])]) ).
fof(c_0_94,plain,
! [X372] :
( ~ ssItem(X372)
| ~ memberP(nil,X372) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_81])]) ).
cnf(c_0_95,plain,
( memberP(X4,X3)
| ~ ssList(X1)
| ~ ssList(X2)
| app(X1,cons(X3,X2)) != X4
| ~ ssItem(X3)
| ~ ssList(X4) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_96,plain,
( segmentP(app(app(X1,X2),X3),X2)
| ~ ssList(app(app(X1,X2),X3))
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1) ),
inference(er,[status(thm)],[c_0_83]) ).
cnf(c_0_97,plain,
( app(nil,X1) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_98,negated_conjecture,
( app(cons(esk52_0,nil),esk54_0) = cons(esk52_0,esk54_0)
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_42]),c_0_31])]) ).
cnf(c_0_99,plain,
( X1 = X2
| cons(X1,X3) != cons(X2,X4)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_100,plain,
( esk5_1(X1) = hd(X1)
| ~ singletonP(X1)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_38])]),c_0_89]) ).
cnf(c_0_101,negated_conjecture,
( esk50_0 = nil
| singletonP(esk50_0)
| ~ ssItem(hd(esk50_0)) ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_102,plain,
( nil = X1
| ssItem(hd(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_103,plain,
( X3 = X1
| memberP(X2,X3)
| ~ memberP(cons(X1,X2),X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X3) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_104,plain,
( ~ ssItem(X1)
| ~ memberP(nil,X1) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_105,plain,
( memberP(app(X1,cons(X2,X3)),X2)
| ~ ssList(app(X1,cons(X2,X3)))
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(er,[status(thm)],[c_0_95]) ).
cnf(c_0_106,plain,
( segmentP(app(X1,X2),X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_38])]),c_0_42]) ).
cnf(c_0_107,negated_conjecture,
app(cons(esk52_0,nil),esk54_0) = cons(esk52_0,esk54_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_37]),c_0_38]),c_0_39])]) ).
cnf(c_0_108,plain,
( esk5_1(cons(X1,X2)) = X1
| ~ singletonP(cons(X1,X2))
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_88]),c_0_38])])]),c_0_89]),c_0_37]) ).
cnf(c_0_109,plain,
( ssItem(hd(X1))
| ~ singletonP(X1)
| ~ ssList(X1) ),
inference(spm,[status(thm)],[c_0_89,c_0_100]) ).
cnf(c_0_110,negated_conjecture,
( esk50_0 = nil
| singletonP(esk50_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_52])]) ).
cnf(c_0_111,plain,
( esk5_1(X1) = X2
| ~ singletonP(X1)
| ~ memberP(X1,X2)
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_88]),c_0_38])]),c_0_89]),c_0_104]) ).
cnf(c_0_112,negated_conjecture,
memberP(esk50_0,esk52_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_46]),c_0_52]),c_0_31]),c_0_32]),c_0_39])]) ).
fof(c_0_113,plain,
! [X402,X403] :
( ~ ssList(X402)
| ~ ssList(X403)
| ~ segmentP(X402,X403)
| ~ segmentP(X403,X402)
| X402 = X403 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax54])])]) ).
cnf(c_0_114,negated_conjecture,
( segmentP(cons(esk52_0,esk54_0),cons(esk52_0,nil))
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_31])]) ).
cnf(c_0_115,plain,
( esk5_1(cons(X1,nil)) = X1
| ~ ssItem(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_90]),c_0_38])]) ).
cnf(c_0_116,negated_conjecture,
( esk50_0 = nil
| ssItem(hd(esk50_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_52])]) ).
cnf(c_0_117,negated_conjecture,
( esk5_1(esk50_0) = esk52_0
| ~ singletonP(esk50_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_52]),c_0_39])]) ).
fof(c_0_118,plain,
! [X442] :
( ~ ssList(X442)
| app(X442,nil) = X442 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax84])]) ).
fof(c_0_119,plain,
! [X440,X441] :
( ( nil = X441
| nil != app(X440,X441)
| ~ ssList(X441)
| ~ ssList(X440) )
& ( nil = X440
| nil != app(X440,X441)
| ~ ssList(X441)
| ~ ssList(X440) )
& ( nil != X441
| nil != X440
| nil = app(X440,X441)
| ~ ssList(X441)
| ~ ssList(X440) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax83])])])]) ).
fof(c_0_120,plain,
! [X429,X430,X431] :
( ~ ssList(X429)
| ~ ssList(X430)
| ~ ssList(X431)
| app(X431,X430) != app(X429,X430)
| X431 = X429 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax79])])]) ).
cnf(c_0_121,plain,
( X1 = X2
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_122,negated_conjecture,
segmentP(cons(esk52_0,esk54_0),cons(esk52_0,nil)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_37]),c_0_38]),c_0_39])]) ).
cnf(c_0_123,negated_conjecture,
ssList(cons(esk52_0,esk54_0)),
inference(rw,[status(thm)],[c_0_56,c_0_68]) ).
cnf(c_0_124,negated_conjecture,
( esk5_1(esk50_0) = hd(esk50_0)
| esk50_0 = nil ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_91]),c_0_116]) ).
cnf(c_0_125,negated_conjecture,
( esk5_1(esk50_0) = esk52_0
| esk50_0 = nil ),
inference(spm,[status(thm)],[c_0_117,c_0_110]) ).
cnf(c_0_126,plain,
( app(X1,nil) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_127,plain,
( nil = X1
| nil != app(X2,X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_128,plain,
( X3 = X1
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| app(X3,X2) != app(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
cnf(c_0_129,negated_conjecture,
( cons(esk52_0,esk54_0) = cons(esk52_0,nil)
| ~ segmentP(cons(esk52_0,nil),cons(esk52_0,esk54_0))
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_123])]) ).
cnf(c_0_130,negated_conjecture,
( hd(esk50_0) = esk52_0
| esk50_0 = nil ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_131,plain,
( segmentP(app(X1,X2),X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_126]),c_0_38])]),c_0_42]) ).
cnf(c_0_132,negated_conjecture,
( esk54_0 = nil
| esk50_0 != nil
| ~ ssList(app(esk53_0,cons(esk52_0,nil))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_29]),c_0_31])]) ).
cnf(c_0_133,plain,
( X1 = nil
| app(X1,X2) != X2
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_97]),c_0_38])]) ).
cnf(c_0_134,plain,
( X1 = X2
| cons(X3,X2) != cons(X4,X1)
| ~ ssItem(X4)
| ~ ssItem(X3)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_135,negated_conjecture,
( cons(esk52_0,esk54_0) = cons(esk52_0,nil)
| ~ segmentP(cons(esk52_0,nil),cons(esk52_0,esk54_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_37]),c_0_38]),c_0_39])]) ).
cnf(c_0_136,negated_conjecture,
( cons(esk52_0,nil) = esk50_0
| esk50_0 = nil ),
inference(spm,[status(thm)],[c_0_91,c_0_130]) ).
cnf(c_0_137,negated_conjecture,
segmentP(esk50_0,cons(esk52_0,esk54_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_46]),c_0_123]),c_0_32])]) ).
cnf(c_0_138,negated_conjecture,
( esk54_0 = nil
| esk50_0 != nil
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_42]),c_0_32])]) ).
cnf(c_0_139,negated_conjecture,
( esk53_0 = nil
| cons(esk52_0,esk54_0) != esk50_0
| ~ ssList(cons(esk52_0,esk54_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_46]),c_0_32])]) ).
cnf(c_0_140,negated_conjecture,
( esk50_0 = nil
| X1 = nil
| cons(X2,X1) != esk50_0
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_91]),c_0_38])]),c_0_116]) ).
cnf(c_0_141,negated_conjecture,
( cons(esk52_0,esk54_0) = esk50_0
| esk50_0 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_137])]) ).
cnf(c_0_142,negated_conjecture,
( esk54_0 = nil
| esk50_0 != nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_37]),c_0_38]),c_0_39])]) ).
cnf(c_0_143,plain,
( nil = X1
| nil != app(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_144,negated_conjecture,
( esk53_0 = nil
| cons(esk52_0,esk54_0) != esk50_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_37]),c_0_31]),c_0_39])]) ).
cnf(c_0_145,negated_conjecture,
esk54_0 = nil,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_31]),c_0_39])]),c_0_142]) ).
cnf(c_0_146,negated_conjecture,
( esk53_0 = nil
| esk50_0 != nil
| ~ ssList(cons(esk52_0,esk54_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_46]),c_0_32])]) ).
cnf(c_0_147,negated_conjecture,
( esk53_0 = nil
| cons(esk52_0,nil) != esk50_0 ),
inference(rw,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_148,negated_conjecture,
( esk53_0 = nil
| esk50_0 != nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_37]),c_0_31]),c_0_39])]) ).
cnf(c_0_149,negated_conjecture,
( memberP(esk54_0,esk55_0)
| memberP(esk53_0,esk55_0) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_150,negated_conjecture,
esk53_0 = nil,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_136]),c_0_148]) ).
cnf(c_0_151,negated_conjecture,
memberP(nil,esk55_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_149,c_0_145]),c_0_150])]) ).
cnf(c_0_152,negated_conjecture,
ssItem(esk55_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_153,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_151]),c_0_152])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWC297+1 : TPTP v9.2.1. Released v2.4.0.
% 0.00/0.11 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32 % Computer : n016.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue May 5 04:42:51 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 1.87/1.88 % Version : CSE_E---1.7
% 1.87/1.88 % Problem : theBenchmark.p
% 1.87/1.88 % SZS status Theorem for theBenchmark.p
% 1.87/1.88 % SZS output start CNFRefutation
% See solution above
% 1.87/1.89 % Total time : 1.372s
%------------------------------------------------------------------------------