TSTP Solution File: SWC303+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWC303+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n022.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 20:21:30 EDT 2023
% Result : Theorem 0.10s 0.62s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 91
% Syntax : Number of formulae : 139 ( 24 unt; 81 typ; 0 def)
% Number of atoms : 258 ( 53 equ)
% Maximal formula atoms : 30 ( 4 avg)
% Number of connectives : 318 ( 118 ~; 115 |; 42 &)
% ( 2 <=>; 41 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 85 ( 68 >; 17 *; 0 +; 0 <<)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-2 aty)
% Number of functors : 62 ( 62 usr; 13 con; 0-2 aty)
% Number of variables : 102 ( 0 sgn; 68 !; 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_0: $i ).
tff(decl_99,type,
esk54_0: $i ).
tff(decl_100,type,
esk55_0: $i ).
tff(decl_101,type,
esk56_0: $i ).
tff(decl_102,type,
esk57_0: $i ).
fof(co1,conjecture,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ~ ssList(X4)
| X4 != X2
| X3 != X1
| ! [X5] :
( ~ ssList(X5)
| app(X3,X5) != X4
| ~ totalorderedP(X3)
| ? [X6] :
( ssItem(X6)
& ? [X7] :
( ssList(X7)
& app(cons(X6,nil),X7) = X5
& ? [X8] :
( ssItem(X8)
& ? [X9] :
( ssList(X9)
& app(X9,cons(X8,nil)) = X3
& leq(X8,X6) ) ) ) ) )
| ! [X10] :
( ssItem(X10)
=> ! [X11] :
( ssItem(X11)
=> ! [X12] :
( ssList(X12)
=> ! [X13] :
( ssList(X13)
=> ! [X14] :
( ~ ssList(X14)
| app(app(app(app(X12,cons(X10,nil)),X13),cons(X11,nil)),X14) != X1
| ~ lt(X11,X10) ) ) ) ) )
| ( nil != X4
& nil = X3 ) ) ) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/SWC001+0.ax',ax82) ).
fof(ax16,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> ssList(cons(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax16) ).
fof(ax17,axiom,
ssList(nil),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/SWC001+0.ax',ax81) ).
fof(ax26,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ssList(app(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax26) ).
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(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(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(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(c_0_10,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ~ ssList(X4)
| X4 != X2
| X3 != X1
| ! [X5] :
( ~ ssList(X5)
| app(X3,X5) != X4
| ~ totalorderedP(X3)
| ? [X6] :
( ssItem(X6)
& ? [X7] :
( ssList(X7)
& app(cons(X6,nil),X7) = X5
& ? [X8] :
( ssItem(X8)
& ? [X9] :
( ssList(X9)
& app(X9,cons(X8,nil)) = X3
& leq(X8,X6) ) ) ) ) )
| ! [X10] :
( ssItem(X10)
=> ! [X11] :
( ssItem(X11)
=> ! [X12] :
( ssList(X12)
=> ! [X13] :
( ssList(X13)
=> ! [X14] :
( ~ ssList(X14)
| app(app(app(app(X12,cons(X10,nil)),X13),cons(X11,nil)),X14) != X1
| ~ lt(X11,X10) ) ) ) ) )
| ( nil != X4
& nil = X3 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).
fof(c_0_11,negated_conjecture,
! [X264,X265,X266,X267] :
( ssList(esk48_0)
& ssList(esk49_0)
& ssList(esk50_0)
& ssList(esk51_0)
& esk51_0 = esk49_0
& esk50_0 = esk48_0
& ssList(esk52_0)
& app(esk50_0,esk52_0) = esk51_0
& totalorderedP(esk50_0)
& ( ~ ssItem(X264)
| ~ ssList(X265)
| app(cons(X264,nil),X265) != esk52_0
| ~ ssItem(X266)
| ~ ssList(X267)
| app(X267,cons(X266,nil)) != esk50_0
| ~ leq(X266,X264) )
& ssItem(esk53_0)
& ssItem(esk54_0)
& ssList(esk55_0)
& ssList(esk56_0)
& ssList(esk57_0)
& app(app(app(app(esk55_0,cons(esk53_0,nil)),esk56_0),cons(esk54_0,nil)),esk57_0) = esk48_0
& lt(esk54_0,esk53_0)
& ( nil = esk51_0
| nil != esk50_0 ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])]) ).
cnf(c_0_12,negated_conjecture,
app(app(app(app(esk55_0,cons(esk53_0,nil)),esk56_0),cons(esk54_0,nil)),esk57_0) = esk48_0,
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_13,negated_conjecture,
esk50_0 = esk48_0,
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_14,plain,
! [X230,X231,X232] :
( ~ ssList(X230)
| ~ ssList(X231)
| ~ ssList(X232)
| app(app(X230,X231),X232) = app(X230,app(X231,X232)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax82])])]) ).
cnf(c_0_15,negated_conjecture,
app(app(app(app(esk55_0,cons(esk53_0,nil)),esk56_0),cons(esk54_0,nil)),esk57_0) = esk50_0,
inference(rw,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,plain,
( app(app(X1,X2),X3) = app(X1,app(X2,X3))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_17,negated_conjecture,
ssList(esk56_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,negated_conjecture,
ssList(esk55_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_19,plain,
! [X119,X120] :
( ~ ssList(X119)
| ~ ssItem(X120)
| ssList(cons(X120,X119)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax16])])]) ).
cnf(c_0_20,negated_conjecture,
( app(app(app(esk55_0,app(cons(esk53_0,nil),esk56_0)),cons(esk54_0,nil)),esk57_0) = esk50_0
| ~ ssList(cons(esk53_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),c_0_18])]) ).
cnf(c_0_21,plain,
( ssList(cons(X2,X1))
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_22,plain,
ssList(nil),
inference(split_conjunct,[status(thm)],[ax17]) ).
cnf(c_0_23,negated_conjecture,
ssItem(esk53_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_24,plain,
! [X228,X229] :
( ~ ssList(X228)
| ~ ssItem(X229)
| cons(X229,X228) = app(cons(X229,nil),X228) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax81])])]) ).
cnf(c_0_25,negated_conjecture,
app(app(app(esk55_0,app(cons(esk53_0,nil),esk56_0)),cons(esk54_0,nil)),esk57_0) = esk50_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),c_0_23])]) ).
cnf(c_0_26,plain,
( cons(X2,X1) = app(cons(X2,nil),X1)
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_27,negated_conjecture,
app(app(app(esk55_0,cons(esk53_0,esk56_0)),cons(esk54_0,nil)),esk57_0) = esk50_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_17]),c_0_23])]) ).
cnf(c_0_28,negated_conjecture,
ssList(esk57_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_29,negated_conjecture,
( app(app(esk55_0,cons(esk53_0,esk56_0)),app(cons(esk54_0,nil),esk57_0)) = esk50_0
| ~ ssList(app(esk55_0,cons(esk53_0,esk56_0)))
| ~ ssList(cons(esk54_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_27]),c_0_28])]) ).
cnf(c_0_30,negated_conjecture,
ssItem(esk54_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_31,plain,
! [X138,X139] :
( ~ ssList(X138)
| ~ ssList(X139)
| ssList(app(X138,X139)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax26])])]) ).
cnf(c_0_32,negated_conjecture,
( app(app(esk55_0,cons(esk53_0,esk56_0)),app(cons(esk54_0,nil),esk57_0)) = esk50_0
| ~ ssList(app(esk55_0,cons(esk53_0,esk56_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_21]),c_0_22]),c_0_30])]) ).
cnf(c_0_33,plain,
( ssList(app(X1,X2))
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_34,plain,
! [X252,X253] :
( ( X252 != X253
| ~ lt(X252,X253)
| ~ ssItem(X253)
| ~ ssItem(X252) )
& ( leq(X252,X253)
| ~ lt(X252,X253)
| ~ ssItem(X253)
| ~ ssItem(X252) )
& ( X252 = X253
| ~ leq(X252,X253)
| lt(X252,X253)
| ~ ssItem(X253)
| ~ ssItem(X252) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax93])])])]) ).
fof(c_0_35,plain,
! [X75,X76,X77,X78,X79,X80] :
( ( ~ totalorderedP(X75)
| ~ ssItem(X76)
| ~ ssItem(X77)
| ~ ssList(X78)
| ~ ssList(X79)
| ~ ssList(X80)
| app(app(X78,cons(X76,X79)),cons(X77,X80)) != X75
| leq(X76,X77)
| ~ ssList(X75) )
& ( ssItem(esk25_1(X75))
| totalorderedP(X75)
| ~ ssList(X75) )
& ( ssItem(esk26_1(X75))
| totalorderedP(X75)
| ~ ssList(X75) )
& ( ssList(esk27_1(X75))
| totalorderedP(X75)
| ~ ssList(X75) )
& ( ssList(esk28_1(X75))
| totalorderedP(X75)
| ~ ssList(X75) )
& ( ssList(esk29_1(X75))
| totalorderedP(X75)
| ~ ssList(X75) )
& ( app(app(esk27_1(X75),cons(esk25_1(X75),esk28_1(X75))),cons(esk26_1(X75),esk29_1(X75))) = X75
| totalorderedP(X75)
| ~ ssList(X75) )
& ( ~ leq(esk25_1(X75),esk26_1(X75))
| totalorderedP(X75)
| ~ ssList(X75) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax11])])])])]) ).
cnf(c_0_36,negated_conjecture,
( app(app(esk55_0,cons(esk53_0,esk56_0)),app(cons(esk54_0,nil),esk57_0)) = esk50_0
| ~ ssList(cons(esk53_0,esk56_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_18])]) ).
fof(c_0_37,plain,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( lt(X1,X2)
=> ~ lt(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[ax33]) ).
fof(c_0_38,plain,
! [X144,X145] :
( ~ ssItem(X144)
| ~ ssItem(X145)
| ~ leq(X144,X145)
| ~ leq(X145,X144)
| X144 = X145 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax29])])]) ).
cnf(c_0_39,plain,
( leq(X1,X2)
| ~ lt(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_40,negated_conjecture,
lt(esk54_0,esk53_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_41,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)],[c_0_35]) ).
cnf(c_0_42,negated_conjecture,
app(app(esk55_0,cons(esk53_0,esk56_0)),app(cons(esk54_0,nil),esk57_0)) = esk50_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_21]),c_0_17]),c_0_23])]) ).
cnf(c_0_43,negated_conjecture,
ssList(esk48_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_44,plain,
! [X152,X153] :
( ~ ssItem(X152)
| ~ ssItem(X153)
| ~ lt(X152,X153)
| ~ lt(X153,X152) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])]) ).
cnf(c_0_45,plain,
( X1 = X2
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ leq(X1,X2)
| ~ leq(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_46,negated_conjecture,
leq(esk54_0,esk53_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_23]),c_0_30])]) ).
cnf(c_0_47,plain,
( leq(X1,X2)
| ~ totalorderedP(app(app(X3,cons(X1,X4)),cons(X2,X5)))
| ~ ssList(app(app(X3,cons(X1,X4)),cons(X2,X5)))
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(er,[status(thm)],[c_0_41]) ).
cnf(c_0_48,negated_conjecture,
app(app(esk55_0,cons(esk53_0,esk56_0)),cons(esk54_0,esk57_0)) = esk50_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_26]),c_0_28]),c_0_30])]) ).
cnf(c_0_49,negated_conjecture,
totalorderedP(esk50_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_50,negated_conjecture,
ssList(esk50_0),
inference(rw,[status(thm)],[c_0_43,c_0_13]) ).
cnf(c_0_51,plain,
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ lt(X1,X2)
| ~ lt(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_52,negated_conjecture,
( esk54_0 = esk53_0
| ~ leq(esk53_0,esk54_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_30]),c_0_23])]) ).
cnf(c_0_53,negated_conjecture,
leq(esk53_0,esk54_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]),c_0_50]),c_0_28]),c_0_17]),c_0_18]),c_0_30]),c_0_23])]) ).
cnf(c_0_54,negated_conjecture,
~ lt(esk53_0,esk54_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_40]),c_0_30]),c_0_23])]) ).
cnf(c_0_55,negated_conjecture,
esk54_0 = esk53_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_53])]) ).
cnf(c_0_56,negated_conjecture,
~ lt(esk53_0,esk53_0),
inference(rw,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_57,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_55]),c_0_56]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.06 % Problem : SWC303+1 : TPTP v8.1.2. Released v2.4.0.
% 0.04/0.07 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.06/0.25 % Computer : n022.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Mon Aug 28 18:37:23 EDT 2023
% 0.06/0.25 % CPUTime :
% 0.10/0.50 start to proof: theBenchmark
% 0.10/0.62 % Version : CSE_E---1.5
% 0.10/0.62 % Problem : theBenchmark.p
% 0.10/0.62 % Proof found
% 0.10/0.62 % SZS status Theorem for theBenchmark.p
% 0.10/0.62 % SZS output start Proof
% See solution above
% 0.10/0.63 % Total time : 0.109000 s
% 0.10/0.63 % SZS output end Proof
% 0.10/0.63 % Total time : 0.114000 s
%------------------------------------------------------------------------------