TSTP Solution File: SWC327+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWC327+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n013.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 : Thu Aug 31 20:21:41 EDT 2023
% Result : Theorem 0.32s 0.71s
% Output : CNFRefutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 84
% Syntax : Number of formulae : 137 ( 17 unt; 79 typ; 0 def)
% Number of atoms : 267 ( 134 equ)
% Maximal formula atoms : 66 ( 4 avg)
% Number of connectives : 346 ( 137 ~; 150 |; 38 &)
% ( 0 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 88 ( 71 >; 17 *; 0 +; 0 <<)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-2 aty)
% Number of functors : 60 ( 60 usr; 8 con; 0-2 aty)
% Number of variables : 66 ( 0 sgn; 30 !; 8 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
ssItem: $i > $o ).
tff(decl_23,type,
neq: ( $i * $i ) > $o ).
tff(decl_24,type,
ssList: $i > $o ).
tff(decl_25,type,
memberP: ( $i * $i ) > $o ).
tff(decl_26,type,
cons: ( $i * $i ) > $i ).
tff(decl_27,type,
app: ( $i * $i ) > $i ).
tff(decl_28,type,
singletonP: $i > $o ).
tff(decl_29,type,
nil: $i ).
tff(decl_30,type,
frontsegP: ( $i * $i ) > $o ).
tff(decl_31,type,
rearsegP: ( $i * $i ) > $o ).
tff(decl_32,type,
segmentP: ( $i * $i ) > $o ).
tff(decl_33,type,
cyclefreeP: $i > $o ).
tff(decl_34,type,
leq: ( $i * $i ) > $o ).
tff(decl_35,type,
totalorderP: $i > $o ).
tff(decl_36,type,
strictorderP: $i > $o ).
tff(decl_37,type,
lt: ( $i * $i ) > $o ).
tff(decl_38,type,
totalorderedP: $i > $o ).
tff(decl_39,type,
strictorderedP: $i > $o ).
tff(decl_40,type,
duplicatefreeP: $i > $o ).
tff(decl_41,type,
equalelemsP: $i > $o ).
tff(decl_42,type,
hd: $i > $i ).
tff(decl_43,type,
tl: $i > $i ).
tff(decl_44,type,
geq: ( $i * $i ) > $o ).
tff(decl_45,type,
gt: ( $i * $i ) > $o ).
tff(decl_46,type,
esk1_0: $i ).
tff(decl_47,type,
esk2_0: $i ).
tff(decl_48,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_49,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_50,type,
esk5_1: $i > $i ).
tff(decl_51,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_52,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_53,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_54,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_55,type,
esk10_1: $i > $i ).
tff(decl_56,type,
esk11_1: $i > $i ).
tff(decl_57,type,
esk12_1: $i > $i ).
tff(decl_58,type,
esk13_1: $i > $i ).
tff(decl_59,type,
esk14_1: $i > $i ).
tff(decl_60,type,
esk15_1: $i > $i ).
tff(decl_61,type,
esk16_1: $i > $i ).
tff(decl_62,type,
esk17_1: $i > $i ).
tff(decl_63,type,
esk18_1: $i > $i ).
tff(decl_64,type,
esk19_1: $i > $i ).
tff(decl_65,type,
esk20_1: $i > $i ).
tff(decl_66,type,
esk21_1: $i > $i ).
tff(decl_67,type,
esk22_1: $i > $i ).
tff(decl_68,type,
esk23_1: $i > $i ).
tff(decl_69,type,
esk24_1: $i > $i ).
tff(decl_70,type,
esk25_1: $i > $i ).
tff(decl_71,type,
esk26_1: $i > $i ).
tff(decl_72,type,
esk27_1: $i > $i ).
tff(decl_73,type,
esk28_1: $i > $i ).
tff(decl_74,type,
esk29_1: $i > $i ).
tff(decl_75,type,
esk30_1: $i > $i ).
tff(decl_76,type,
esk31_1: $i > $i ).
tff(decl_77,type,
esk32_1: $i > $i ).
tff(decl_78,type,
esk33_1: $i > $i ).
tff(decl_79,type,
esk34_1: $i > $i ).
tff(decl_80,type,
esk35_1: $i > $i ).
tff(decl_81,type,
esk36_1: $i > $i ).
tff(decl_82,type,
esk37_1: $i > $i ).
tff(decl_83,type,
esk38_1: $i > $i ).
tff(decl_84,type,
esk39_1: $i > $i ).
tff(decl_85,type,
esk40_1: $i > $i ).
tff(decl_86,type,
esk41_1: $i > $i ).
tff(decl_87,type,
esk42_1: $i > $i ).
tff(decl_88,type,
esk43_1: $i > $i ).
tff(decl_89,type,
esk44_1: $i > $i ).
tff(decl_90,type,
esk45_1: $i > $i ).
tff(decl_91,type,
esk46_1: $i > $i ).
tff(decl_92,type,
esk47_1: $i > $i ).
tff(decl_93,type,
esk48_0: $i ).
tff(decl_94,type,
esk49_0: $i ).
tff(decl_95,type,
esk50_0: $i ).
tff(decl_96,type,
esk51_0: $i ).
tff(decl_97,type,
esk52_0: $i ).
tff(decl_98,type,
esk53_1: $i > $i ).
tff(decl_99,type,
esk54_1: $i > $i ).
tff(decl_100,type,
esk55_1: $i > $i ).
fof(co1,conjecture,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ! [X5] :
( ssList(X5)
=> ( app(X3,X5) != X4
| ~ equalelemsP(X3)
| ? [X6] :
( ssItem(X6)
& ? [X7] :
( ssList(X7)
& app(cons(X6,nil),X7) = X5
& ? [X8] :
( ssList(X8)
& app(X8,cons(X6,nil)) = X3 ) ) ) ) )
| ( nil != X4
& nil = X3 )
| ( ? [X9] :
( ssList(X9)
& app(X1,X9) = X2
& ! [X10] :
( ssItem(X10)
=> ! [X11] :
( ssList(X11)
=> ( app(cons(X10,nil),X11) != X9
| ! [X12] :
( ssList(X12)
=> app(X12,cons(X10,nil)) != X1 ) ) ) )
& equalelemsP(X1) )
& ( nil != X1
| nil = X2 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(ax84,axiom,
! [X1] :
( ssList(X1)
=> app(X1,nil) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax84) ).
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(ax21,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> nil != cons(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax21) ).
fof(c_0_5,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ! [X5] :
( ssList(X5)
=> ( app(X3,X5) != X4
| ~ equalelemsP(X3)
| ? [X6] :
( ssItem(X6)
& ? [X7] :
( ssList(X7)
& app(cons(X6,nil),X7) = X5
& ? [X8] :
( ssList(X8)
& app(X8,cons(X6,nil)) = X3 ) ) ) ) )
| ( nil != X4
& nil = X3 )
| ( ? [X9] :
( ssList(X9)
& app(X1,X9) = X2
& ! [X10] :
( ssItem(X10)
=> ! [X11] :
( ssList(X11)
=> ( app(cons(X10,nil),X11) != X9
| ! [X12] :
( ssList(X12)
=> app(X12,cons(X10,nil)) != X1 ) ) ) )
& equalelemsP(X1) )
& ( nil != X1
| nil = X2 ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).
fof(c_0_6,negated_conjecture,
! [X262,X263,X264,X265] :
( ssList(esk48_0)
& ssList(esk49_0)
& ssList(esk50_0)
& ssList(esk51_0)
& esk49_0 = esk51_0
& esk48_0 = esk50_0
& ssList(esk52_0)
& app(esk50_0,esk52_0) = esk51_0
& equalelemsP(esk50_0)
& ( ~ ssItem(X262)
| ~ ssList(X263)
| app(cons(X262,nil),X263) != esk52_0
| ~ ssList(X264)
| app(X264,cons(X262,nil)) != esk50_0 )
& ( nil = esk51_0
| nil != esk50_0 )
& ( nil = esk48_0
| ssItem(esk53_1(X265))
| ~ ssList(X265)
| app(esk48_0,X265) != esk49_0
| ~ equalelemsP(esk48_0) )
& ( nil != esk49_0
| ssItem(esk53_1(X265))
| ~ ssList(X265)
| app(esk48_0,X265) != esk49_0
| ~ equalelemsP(esk48_0) )
& ( nil = esk48_0
| ssList(esk54_1(X265))
| ~ ssList(X265)
| app(esk48_0,X265) != esk49_0
| ~ equalelemsP(esk48_0) )
& ( nil != esk49_0
| ssList(esk54_1(X265))
| ~ ssList(X265)
| app(esk48_0,X265) != esk49_0
| ~ equalelemsP(esk48_0) )
& ( nil = esk48_0
| app(cons(esk53_1(X265),nil),esk54_1(X265)) = X265
| ~ ssList(X265)
| app(esk48_0,X265) != esk49_0
| ~ equalelemsP(esk48_0) )
& ( nil != esk49_0
| app(cons(esk53_1(X265),nil),esk54_1(X265)) = X265
| ~ ssList(X265)
| app(esk48_0,X265) != esk49_0
| ~ equalelemsP(esk48_0) )
& ( nil = esk48_0
| ssList(esk55_1(X265))
| ~ ssList(X265)
| app(esk48_0,X265) != esk49_0
| ~ equalelemsP(esk48_0) )
& ( nil != esk49_0
| ssList(esk55_1(X265))
| ~ ssList(X265)
| app(esk48_0,X265) != esk49_0
| ~ equalelemsP(esk48_0) )
& ( nil = esk48_0
| app(esk55_1(X265),cons(esk53_1(X265),nil)) = esk48_0
| ~ ssList(X265)
| app(esk48_0,X265) != esk49_0
| ~ equalelemsP(esk48_0) )
& ( nil != esk49_0
| app(esk55_1(X265),cons(esk53_1(X265),nil)) = esk48_0
| ~ ssList(X265)
| app(esk48_0,X265) != esk49_0
| ~ equalelemsP(esk48_0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])]) ).
cnf(c_0_7,negated_conjecture,
equalelemsP(esk50_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_8,negated_conjecture,
esk48_0 = esk50_0,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,negated_conjecture,
( nil = esk48_0
| app(esk55_1(X1),cons(esk53_1(X1),nil)) = esk48_0
| ~ ssList(X1)
| app(esk48_0,X1) != esk49_0
| ~ equalelemsP(esk48_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
equalelemsP(esk48_0),
inference(rw,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,negated_conjecture,
app(esk50_0,esk52_0) = esk51_0,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,negated_conjecture,
esk49_0 = esk51_0,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_13,negated_conjecture,
( nil = esk48_0
| ssItem(esk53_1(X1))
| ~ ssList(X1)
| app(esk48_0,X1) != esk49_0
| ~ equalelemsP(esk48_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_14,negated_conjecture,
( nil = esk48_0
| ssList(esk55_1(X1))
| ~ ssList(X1)
| app(esk48_0,X1) != esk49_0
| ~ equalelemsP(esk48_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_15,negated_conjecture,
( ~ ssItem(X1)
| ~ ssList(X2)
| app(cons(X1,nil),X2) != esk52_0
| ~ ssList(X3)
| app(X3,cons(X1,nil)) != esk50_0 ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_16,negated_conjecture,
( app(esk55_1(X1),cons(esk53_1(X1),nil)) = esk48_0
| esk48_0 = nil
| app(esk48_0,X1) != esk49_0
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10])]) ).
cnf(c_0_17,negated_conjecture,
app(esk48_0,esk52_0) = esk49_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_8]),c_0_12]) ).
cnf(c_0_18,negated_conjecture,
ssList(esk52_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_19,negated_conjecture,
( esk48_0 = nil
| ssItem(esk53_1(X1))
| app(esk48_0,X1) != esk49_0
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_10])]) ).
cnf(c_0_20,negated_conjecture,
( esk48_0 = nil
| ssList(esk55_1(X1))
| app(esk48_0,X1) != esk49_0
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_10])]) ).
cnf(c_0_21,negated_conjecture,
( nil = esk48_0
| app(cons(esk53_1(X1),nil),esk54_1(X1)) = X1
| ~ ssList(X1)
| app(esk48_0,X1) != esk49_0
| ~ equalelemsP(esk48_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_22,negated_conjecture,
( nil = esk48_0
| ssList(esk54_1(X1))
| ~ ssList(X1)
| app(esk48_0,X1) != esk49_0
| ~ equalelemsP(esk48_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_23,negated_conjecture,
( app(X1,cons(X2,nil)) != esk48_0
| app(cons(X2,nil),X3) != esk52_0
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssItem(X2) ),
inference(rw,[status(thm)],[c_0_15,c_0_8]) ).
cnf(c_0_24,negated_conjecture,
( app(esk55_1(esk52_0),cons(esk53_1(esk52_0),nil)) = esk48_0
| esk48_0 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]) ).
cnf(c_0_25,negated_conjecture,
( esk48_0 = nil
| ssItem(esk53_1(esk52_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_17]),c_0_18])]) ).
cnf(c_0_26,negated_conjecture,
( esk48_0 = nil
| ssList(esk55_1(esk52_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_17]),c_0_18])]) ).
cnf(c_0_27,negated_conjecture,
( app(cons(esk53_1(X1),nil),esk54_1(X1)) = X1
| esk48_0 = nil
| app(esk48_0,X1) != esk49_0
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_10])]) ).
cnf(c_0_28,negated_conjecture,
( esk48_0 = nil
| ssList(esk54_1(X1))
| app(esk48_0,X1) != esk49_0
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_10])]) ).
cnf(c_0_29,negated_conjecture,
( app(cons(esk53_1(X1),nil),esk54_1(X1)) = X1
| nil != esk49_0
| ~ ssList(X1)
| app(esk48_0,X1) != esk49_0
| ~ equalelemsP(esk48_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_30,plain,
! [X233] :
( ~ ssList(X233)
| app(X233,nil) = X233 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax84])]) ).
cnf(c_0_31,negated_conjecture,
( nil = esk51_0
| nil != esk50_0 ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_32,negated_conjecture,
( esk48_0 = nil
| app(cons(esk53_1(esk52_0),nil),X1) != esk52_0
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_26]) ).
cnf(c_0_33,negated_conjecture,
( app(cons(esk53_1(esk52_0),nil),esk54_1(esk52_0)) = esk52_0
| esk48_0 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_17]),c_0_18])]) ).
cnf(c_0_34,negated_conjecture,
( esk48_0 = nil
| ssList(esk54_1(esk52_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_17]),c_0_18])]) ).
cnf(c_0_35,negated_conjecture,
( ssList(esk54_1(X1))
| nil != esk49_0
| ~ ssList(X1)
| app(esk48_0,X1) != esk49_0
| ~ equalelemsP(esk48_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_36,negated_conjecture,
( ssItem(esk53_1(X1))
| nil != esk49_0
| ~ ssList(X1)
| app(esk48_0,X1) != esk49_0
| ~ equalelemsP(esk48_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_37,negated_conjecture,
( app(cons(esk53_1(X1),nil),esk54_1(X1)) = X1
| app(esk48_0,X1) != esk49_0
| esk49_0 != nil
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_10])]) ).
cnf(c_0_38,plain,
( app(X1,nil) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_39,plain,
ssList(nil),
inference(split_conjunct,[status(thm)],[ax17]) ).
cnf(c_0_40,negated_conjecture,
ssList(esk48_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_41,negated_conjecture,
( esk49_0 = nil
| esk48_0 != nil ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_12]),c_0_8]) ).
cnf(c_0_42,negated_conjecture,
esk48_0 = nil,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]) ).
cnf(c_0_43,negated_conjecture,
( ssList(esk54_1(X1))
| app(esk48_0,X1) != esk49_0
| esk49_0 != nil
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_10])]) ).
cnf(c_0_44,negated_conjecture,
( ssItem(esk53_1(X1))
| app(esk48_0,X1) != esk49_0
| esk49_0 != nil
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_10])]) ).
fof(c_0_45,plain,
! [X226,X227] :
( ~ ssList(X226)
| ~ ssItem(X227)
| cons(X227,X226) = app(cons(X227,nil),X226) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax81])])]) ).
cnf(c_0_46,negated_conjecture,
( app(cons(esk53_1(nil),nil),esk54_1(nil)) = nil
| esk49_0 != esk48_0
| esk49_0 != nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]),c_0_40])]) ).
cnf(c_0_47,negated_conjecture,
esk49_0 = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_42])]) ).
cnf(c_0_48,negated_conjecture,
( ssList(esk54_1(nil))
| esk49_0 != esk48_0
| esk49_0 != nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_38]),c_0_39]),c_0_40])]) ).
cnf(c_0_49,negated_conjecture,
( ssItem(esk53_1(nil))
| esk49_0 != esk48_0
| esk49_0 != nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_38]),c_0_39]),c_0_40])]) ).
fof(c_0_50,plain,
! [X128,X129] :
( ~ ssList(X128)
| ~ ssItem(X129)
| nil != cons(X129,X128) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax21])])]) ).
cnf(c_0_51,plain,
( cons(X2,X1) = app(cons(X2,nil),X1)
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_52,negated_conjecture,
app(cons(esk53_1(nil),nil),esk54_1(nil)) = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_42])]),c_0_47])]) ).
cnf(c_0_53,negated_conjecture,
ssList(esk54_1(nil)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_42])]),c_0_47])]) ).
cnf(c_0_54,negated_conjecture,
ssItem(esk53_1(nil)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_42])]),c_0_47])]) ).
cnf(c_0_55,plain,
( ~ ssList(X1)
| ~ ssItem(X2)
| nil != cons(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_56,negated_conjecture,
cons(esk53_1(nil),esk54_1(nil)) = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53]),c_0_54])]) ).
cnf(c_0_57,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_53]),c_0_54])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.18 % Problem : SWC327+1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.20 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.06/0.40 % Computer : n013.cluster.edu
% 0.06/0.40 % Model : x86_64 x86_64
% 0.06/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.40 % Memory : 8042.1875MB
% 0.06/0.40 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.40 % CPULimit : 300
% 0.06/0.40 % WCLimit : 300
% 0.06/0.40 % DateTime : Mon Aug 28 15:12:17 EDT 2023
% 0.06/0.40 % CPUTime :
% 0.32/0.65 start to proof: theBenchmark
% 0.32/0.71 % Version : CSE_E---1.5
% 0.32/0.71 % Problem : theBenchmark.p
% 0.32/0.71 % Proof found
% 0.32/0.71 % SZS status Theorem for theBenchmark.p
% 0.32/0.71 % SZS output start Proof
% See solution above
% 0.38/0.71 % Total time : 0.050000 s
% 0.38/0.71 % SZS output end Proof
% 0.38/0.71 % Total time : 0.053000 s
%------------------------------------------------------------------------------