TSTP Solution File: PRO014+3 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : PRO014+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n017.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 13:06:09 EDT 2023
% Result : Theorem 1.03s 1.14s
% Output : CNFRefutation 1.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 56
% Syntax : Number of formulae : 144 ( 32 unt; 43 typ; 0 def)
% Number of atoms : 383 ( 7 equ)
% Maximal formula atoms : 36 ( 3 avg)
% Number of connectives : 456 ( 174 ~; 188 |; 78 &)
% ( 4 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 72 ( 36 >; 36 *; 0 +; 0 <<)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-3 aty)
% Number of functors : 26 ( 26 usr; 7 con; 0-4 aty)
% Number of variables : 172 ( 3 sgn; 87 !; 16 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
occurrence_of: ( $i * $i ) > $o ).
tff(decl_23,type,
activity: $i > $o ).
tff(decl_24,type,
activity_occurrence: $i > $o ).
tff(decl_25,type,
subactivity: ( $i * $i ) > $o ).
tff(decl_26,type,
earlier: ( $i * $i ) > $o ).
tff(decl_27,type,
arboreal: $i > $o ).
tff(decl_28,type,
atomic: $i > $o ).
tff(decl_29,type,
legal: $i > $o ).
tff(decl_30,type,
precedes: ( $i * $i ) > $o ).
tff(decl_31,type,
min_precedes: ( $i * $i * $i ) > $o ).
tff(decl_32,type,
atocc: ( $i * $i ) > $o ).
tff(decl_33,type,
root: ( $i * $i ) > $o ).
tff(decl_34,type,
leaf: ( $i * $i ) > $o ).
tff(decl_35,type,
next_subocc: ( $i * $i * $i ) > $o ).
tff(decl_36,type,
subactivity_occurrence: ( $i * $i ) > $o ).
tff(decl_37,type,
root_occ: ( $i * $i ) > $o ).
tff(decl_38,type,
leaf_occ: ( $i * $i ) > $o ).
tff(decl_39,type,
tptp0: $i ).
tff(decl_40,type,
tptp3: $i ).
tff(decl_41,type,
tptp4: $i ).
tff(decl_42,type,
tptp2: $i ).
tff(decl_43,type,
tptp1: $i ).
tff(decl_44,type,
esk1_1: $i > $i ).
tff(decl_45,type,
esk2_3: ( $i * $i * $i ) > $i ).
tff(decl_46,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_47,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_48,type,
esk5_3: ( $i * $i * $i ) > $i ).
tff(decl_49,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_50,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_51,type,
esk8_3: ( $i * $i * $i ) > $i ).
tff(decl_52,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_53,type,
esk10_3: ( $i * $i * $i ) > $i ).
tff(decl_54,type,
esk11_2: ( $i * $i ) > $i ).
tff(decl_55,type,
esk12_2: ( $i * $i ) > $i ).
tff(decl_56,type,
esk13_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_57,type,
esk14_2: ( $i * $i ) > $i ).
tff(decl_58,type,
esk15_2: ( $i * $i ) > $i ).
tff(decl_59,type,
esk16_2: ( $i * $i ) > $i ).
tff(decl_60,type,
esk17_1: $i > $i ).
tff(decl_61,type,
esk18_1: $i > $i ).
tff(decl_62,type,
esk19_1: $i > $i ).
tff(decl_63,type,
esk20_0: $i ).
tff(decl_64,type,
esk21_0: $i ).
fof(sos_49,axiom,
! [X162,X163] :
( ( occurrence_of(X163,tptp0)
& subactivity_occurrence(X162,X163)
& arboreal(X162)
& ~ leaf_occ(X162,X163) )
=> ? [X164,X165,X166] :
( occurrence_of(X164,tptp3)
& next_subocc(X162,X164,tptp0)
& occurrence_of(X165,tptp4)
& next_subocc(X164,X165,tptp0)
& ( occurrence_of(X166,tptp2)
| occurrence_of(X166,tptp1) )
& next_subocc(X165,X166,tptp0)
& leaf(X166,tptp0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_49) ).
fof(goals,conjecture,
! [X167,X168] :
( ( occurrence_of(X168,tptp0)
& subactivity_occurrence(X167,X168)
& arboreal(X167)
& ~ leaf_occ(X167,X168) )
=> ? [X169,X170] :
( occurrence_of(X169,tptp3)
& next_subocc(X167,X169,tptp0)
& ( occurrence_of(X170,tptp2)
| occurrence_of(X170,tptp1) )
& min_precedes(X169,X170,tptp0)
& leaf(X170,tptp0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(sos_45,axiom,
! [X146,X147] :
( ( leaf(X146,X147)
& ~ atomic(X147) )
=> ? [X148] :
( occurrence_of(X148,X147)
& leaf_occ(X146,X148) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_45) ).
fof(sos_22,axiom,
! [X61,X62,X63] :
( next_subocc(X61,X62,X63)
<=> ( min_precedes(X61,X62,X63)
& ~ ? [X64] :
( min_precedes(X61,X64,X63)
& min_precedes(X64,X62,X63) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_22) ).
fof(sos_51,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_51) ).
fof(sos_29,axiom,
! [X84,X85,X86,X87] :
( ( min_precedes(X84,X85,X86)
& occurrence_of(X87,X86)
& subactivity_occurrence(X85,X87) )
=> subactivity_occurrence(X84,X87) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_29) ).
fof(sos_34,axiom,
! [X103,X104] :
( leaf_occ(X103,X104)
<=> ? [X105] :
( occurrence_of(X104,X105)
& subactivity_occurrence(X103,X104)
& leaf(X103,X105) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_34) ).
fof(sos_43,axiom,
! [X139,X140,X141,X142] :
( ( occurrence_of(X140,X139)
& subactivity_occurrence(X141,X140)
& leaf_occ(X142,X140)
& arboreal(X141)
& ~ min_precedes(X141,X142,X139) )
=> X142 = X141 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_43) ).
fof(sos_15,axiom,
! [X39,X40,X41] :
( min_precedes(X39,X40,X41)
=> precedes(X39,X40) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_15) ).
fof(sos_10,axiom,
! [X22,X23] :
( precedes(X22,X23)
<=> ( earlier(X22,X23)
& legal(X23) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_10) ).
fof(sos_21,axiom,
! [X57,X58] :
( leaf(X57,X58)
<=> ( ( root(X57,X58)
| ? [X59] : min_precedes(X59,X57,X58) )
& ~ ? [X60] : min_precedes(X57,X60,X58) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_21) ).
fof(sos_05,axiom,
! [X11,X12,X13] :
( ( earlier(X11,X12)
& earlier(X12,X13) )
=> earlier(X11,X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_05) ).
fof(sos_18,axiom,
! [X46,X47,X48,X49] :
( ( min_precedes(X46,X47,X49)
& min_precedes(X46,X48,X49)
& precedes(X47,X48) )
=> min_precedes(X47,X48,X49) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_18) ).
fof(c_0_13,plain,
! [X162,X163] :
( ( occurrence_of(X163,tptp0)
& subactivity_occurrence(X162,X163)
& arboreal(X162)
& ~ leaf_occ(X162,X163) )
=> ? [X164,X165,X166] :
( occurrence_of(X164,tptp3)
& next_subocc(X162,X164,tptp0)
& occurrence_of(X165,tptp4)
& next_subocc(X164,X165,tptp0)
& ( occurrence_of(X166,tptp2)
| occurrence_of(X166,tptp1) )
& next_subocc(X165,X166,tptp0)
& leaf(X166,tptp0) ) ),
inference(fof_simplification,[status(thm)],[sos_49]) ).
fof(c_0_14,negated_conjecture,
~ ! [X167,X168] :
( ( occurrence_of(X168,tptp0)
& subactivity_occurrence(X167,X168)
& arboreal(X167)
& ~ leaf_occ(X167,X168) )
=> ? [X169,X170] :
( occurrence_of(X169,tptp3)
& next_subocc(X167,X169,tptp0)
& ( occurrence_of(X170,tptp2)
| occurrence_of(X170,tptp1) )
& min_precedes(X169,X170,tptp0)
& leaf(X170,tptp0) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[goals])]) ).
fof(c_0_15,plain,
! [X349,X350] :
( ( occurrence_of(esk17_1(X349),tptp3)
| ~ occurrence_of(X350,tptp0)
| ~ subactivity_occurrence(X349,X350)
| ~ arboreal(X349)
| leaf_occ(X349,X350) )
& ( next_subocc(X349,esk17_1(X349),tptp0)
| ~ occurrence_of(X350,tptp0)
| ~ subactivity_occurrence(X349,X350)
| ~ arboreal(X349)
| leaf_occ(X349,X350) )
& ( occurrence_of(esk18_1(X349),tptp4)
| ~ occurrence_of(X350,tptp0)
| ~ subactivity_occurrence(X349,X350)
| ~ arboreal(X349)
| leaf_occ(X349,X350) )
& ( next_subocc(esk17_1(X349),esk18_1(X349),tptp0)
| ~ occurrence_of(X350,tptp0)
| ~ subactivity_occurrence(X349,X350)
| ~ arboreal(X349)
| leaf_occ(X349,X350) )
& ( occurrence_of(esk19_1(X349),tptp2)
| occurrence_of(esk19_1(X349),tptp1)
| ~ occurrence_of(X350,tptp0)
| ~ subactivity_occurrence(X349,X350)
| ~ arboreal(X349)
| leaf_occ(X349,X350) )
& ( next_subocc(esk18_1(X349),esk19_1(X349),tptp0)
| ~ occurrence_of(X350,tptp0)
| ~ subactivity_occurrence(X349,X350)
| ~ arboreal(X349)
| leaf_occ(X349,X350) )
& ( leaf(esk19_1(X349),tptp0)
| ~ occurrence_of(X350,tptp0)
| ~ subactivity_occurrence(X349,X350)
| ~ arboreal(X349)
| leaf_occ(X349,X350) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])])])]) ).
fof(c_0_16,negated_conjecture,
! [X356,X357] :
( occurrence_of(esk21_0,tptp0)
& subactivity_occurrence(esk20_0,esk21_0)
& arboreal(esk20_0)
& ~ leaf_occ(esk20_0,esk21_0)
& ( ~ occurrence_of(X357,tptp2)
| ~ occurrence_of(X356,tptp3)
| ~ next_subocc(esk20_0,X356,tptp0)
| ~ min_precedes(X356,X357,tptp0)
| ~ leaf(X357,tptp0) )
& ( ~ occurrence_of(X357,tptp1)
| ~ occurrence_of(X356,tptp3)
| ~ next_subocc(esk20_0,X356,tptp0)
| ~ min_precedes(X356,X357,tptp0)
| ~ leaf(X357,tptp0) ) ),
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_14])])])])]) ).
cnf(c_0_17,plain,
( next_subocc(esk17_1(X1),esk18_1(X1),tptp0)
| leaf_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_18,negated_conjecture,
occurrence_of(esk21_0,tptp0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_19,plain,
( next_subocc(esk18_1(X1),esk19_1(X1),tptp0)
| leaf_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_20,plain,
! [X146,X147] :
( ( leaf(X146,X147)
& ~ atomic(X147) )
=> ? [X148] :
( occurrence_of(X148,X147)
& leaf_occ(X146,X148) ) ),
inference(fof_simplification,[status(thm)],[sos_45]) ).
cnf(c_0_21,plain,
( leaf(esk19_1(X1),tptp0)
| leaf_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,plain,
( next_subocc(X1,esk17_1(X1),tptp0)
| leaf_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_23,plain,
! [X235,X236,X237,X238,X239,X240,X241] :
( ( min_precedes(X235,X236,X237)
| ~ next_subocc(X235,X236,X237) )
& ( ~ min_precedes(X235,X238,X237)
| ~ min_precedes(X238,X236,X237)
| ~ next_subocc(X235,X236,X237) )
& ( min_precedes(X239,esk8_3(X239,X240,X241),X241)
| ~ min_precedes(X239,X240,X241)
| next_subocc(X239,X240,X241) )
& ( min_precedes(esk8_3(X239,X240,X241),X240,X241)
| ~ min_precedes(X239,X240,X241)
| next_subocc(X239,X240,X241) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_22])])])])])]) ).
cnf(c_0_24,negated_conjecture,
( leaf_occ(X1,esk21_0)
| next_subocc(esk17_1(X1),esk18_1(X1),tptp0)
| ~ subactivity_occurrence(X1,esk21_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_25,negated_conjecture,
subactivity_occurrence(esk20_0,esk21_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_26,negated_conjecture,
arboreal(esk20_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_27,negated_conjecture,
~ leaf_occ(esk20_0,esk21_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_28,negated_conjecture,
( leaf_occ(X1,esk21_0)
| next_subocc(esk18_1(X1),esk19_1(X1),tptp0)
| ~ subactivity_occurrence(X1,esk21_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_18]) ).
fof(c_0_29,plain,
! [X333,X334] :
( ( occurrence_of(esk16_2(X333,X334),X334)
| ~ leaf(X333,X334)
| atomic(X334) )
& ( leaf_occ(X333,esk16_2(X333,X334))
| ~ leaf(X333,X334)
| atomic(X334) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])]) ).
cnf(c_0_30,negated_conjecture,
( leaf_occ(X1,esk21_0)
| leaf(esk19_1(X1),tptp0)
| ~ subactivity_occurrence(X1,esk21_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_18]) ).
fof(c_0_31,plain,
~ atomic(tptp0),
inference(fof_simplification,[status(thm)],[sos_51]) ).
cnf(c_0_32,negated_conjecture,
( leaf_occ(X1,esk21_0)
| next_subocc(X1,esk17_1(X1),tptp0)
| ~ subactivity_occurrence(X1,esk21_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_18]) ).
fof(c_0_33,plain,
! [X265,X266,X267,X268] :
( ~ min_precedes(X265,X266,X267)
| ~ occurrence_of(X268,X267)
| ~ subactivity_occurrence(X266,X268)
| subactivity_occurrence(X265,X268) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_29])]) ).
cnf(c_0_34,plain,
( min_precedes(X1,X2,X3)
| ~ next_subocc(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_35,negated_conjecture,
next_subocc(esk17_1(esk20_0),esk18_1(esk20_0),tptp0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]),c_0_27]) ).
cnf(c_0_36,negated_conjecture,
next_subocc(esk18_1(esk20_0),esk19_1(esk20_0),tptp0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_25]),c_0_26])]),c_0_27]) ).
fof(c_0_37,plain,
! [X287,X288,X290,X291,X292] :
( ( occurrence_of(X288,esk15_2(X287,X288))
| ~ leaf_occ(X287,X288) )
& ( subactivity_occurrence(X287,X288)
| ~ leaf_occ(X287,X288) )
& ( leaf(X287,esk15_2(X287,X288))
| ~ leaf_occ(X287,X288) )
& ( ~ occurrence_of(X291,X292)
| ~ subactivity_occurrence(X290,X291)
| ~ leaf(X290,X292)
| leaf_occ(X290,X291) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_34])])])])])]) ).
cnf(c_0_38,plain,
( leaf_occ(X1,esk16_2(X1,X2))
| atomic(X2)
| ~ leaf(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_39,negated_conjecture,
leaf(esk19_1(esk20_0),tptp0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_25]),c_0_26])]),c_0_27]) ).
cnf(c_0_40,plain,
~ atomic(tptp0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_41,negated_conjecture,
next_subocc(esk20_0,esk17_1(esk20_0),tptp0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_25]),c_0_26])]),c_0_27]) ).
cnf(c_0_42,plain,
( subactivity_occurrence(X1,X4)
| ~ min_precedes(X1,X2,X3)
| ~ occurrence_of(X4,X3)
| ~ subactivity_occurrence(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_43,negated_conjecture,
min_precedes(esk17_1(esk20_0),esk18_1(esk20_0),tptp0),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_44,plain,
( occurrence_of(esk16_2(X1,X2),X2)
| atomic(X2)
| ~ leaf(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_45,negated_conjecture,
min_precedes(esk18_1(esk20_0),esk19_1(esk20_0),tptp0),
inference(spm,[status(thm)],[c_0_34,c_0_36]) ).
cnf(c_0_46,plain,
( subactivity_occurrence(X1,X2)
| ~ leaf_occ(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_47,negated_conjecture,
leaf_occ(esk19_1(esk20_0),esk16_2(esk19_1(esk20_0),tptp0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]) ).
fof(c_0_48,plain,
! [X139,X140,X141,X142] :
( ( occurrence_of(X140,X139)
& subactivity_occurrence(X141,X140)
& leaf_occ(X142,X140)
& arboreal(X141)
& ~ min_precedes(X141,X142,X139) )
=> X142 = X141 ),
inference(fof_simplification,[status(thm)],[sos_43]) ).
cnf(c_0_49,negated_conjecture,
min_precedes(esk20_0,esk17_1(esk20_0),tptp0),
inference(spm,[status(thm)],[c_0_34,c_0_41]) ).
cnf(c_0_50,negated_conjecture,
( subactivity_occurrence(esk17_1(esk20_0),X1)
| ~ subactivity_occurrence(esk18_1(esk20_0),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_51,negated_conjecture,
occurrence_of(esk16_2(esk19_1(esk20_0),tptp0),tptp0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_39]),c_0_40]) ).
cnf(c_0_52,negated_conjecture,
( subactivity_occurrence(esk18_1(esk20_0),X1)
| ~ subactivity_occurrence(esk19_1(esk20_0),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_42,c_0_45]) ).
cnf(c_0_53,negated_conjecture,
subactivity_occurrence(esk19_1(esk20_0),esk16_2(esk19_1(esk20_0),tptp0)),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
fof(c_0_54,plain,
! [X326,X327,X328,X329] :
( ~ occurrence_of(X327,X326)
| ~ subactivity_occurrence(X328,X327)
| ~ leaf_occ(X329,X327)
| ~ arboreal(X328)
| min_precedes(X328,X329,X326)
| X329 = X328 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_48])]) ).
cnf(c_0_55,negated_conjecture,
( subactivity_occurrence(esk20_0,X1)
| ~ subactivity_occurrence(esk17_1(esk20_0),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_42,c_0_49]) ).
cnf(c_0_56,negated_conjecture,
( subactivity_occurrence(esk17_1(esk20_0),esk16_2(esk19_1(esk20_0),tptp0))
| ~ subactivity_occurrence(esk18_1(esk20_0),esk16_2(esk19_1(esk20_0),tptp0)) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_57,negated_conjecture,
subactivity_occurrence(esk18_1(esk20_0),esk16_2(esk19_1(esk20_0),tptp0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_51]),c_0_53])]) ).
fof(c_0_58,plain,
! [X209,X210,X211] :
( ~ min_precedes(X209,X210,X211)
| precedes(X209,X210) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_15])]) ).
cnf(c_0_59,plain,
( min_precedes(X3,X4,X2)
| X4 = X3
| ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X3,X1)
| ~ leaf_occ(X4,X1)
| ~ arboreal(X3) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_60,negated_conjecture,
( subactivity_occurrence(esk20_0,esk16_2(esk19_1(esk20_0),tptp0))
| ~ subactivity_occurrence(esk17_1(esk20_0),esk16_2(esk19_1(esk20_0),tptp0)) ),
inference(spm,[status(thm)],[c_0_55,c_0_51]) ).
cnf(c_0_61,negated_conjecture,
subactivity_occurrence(esk17_1(esk20_0),esk16_2(esk19_1(esk20_0),tptp0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_57])]) ).
fof(c_0_62,plain,
! [X192,X193] :
( ( earlier(X192,X193)
| ~ precedes(X192,X193) )
& ( legal(X193)
| ~ precedes(X192,X193) )
& ( ~ earlier(X192,X193)
| ~ legal(X193)
| precedes(X192,X193) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_10])])]) ).
cnf(c_0_63,plain,
( precedes(X1,X2)
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_64,negated_conjecture,
( X1 = esk19_1(esk20_0)
| min_precedes(X1,esk19_1(esk20_0),X2)
| ~ subactivity_occurrence(X1,esk16_2(esk19_1(esk20_0),tptp0))
| ~ arboreal(X1)
| ~ occurrence_of(esk16_2(esk19_1(esk20_0),tptp0),X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_47]) ).
cnf(c_0_65,negated_conjecture,
subactivity_occurrence(esk20_0,esk16_2(esk19_1(esk20_0),tptp0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_61])]) ).
fof(c_0_66,plain,
! [X227,X228,X230,X231,X232,X233] :
( ( root(X227,X228)
| min_precedes(esk6_2(X227,X228),X227,X228)
| ~ leaf(X227,X228) )
& ( ~ min_precedes(X227,X230,X228)
| ~ leaf(X227,X228) )
& ( ~ root(X231,X232)
| min_precedes(X231,esk7_2(X231,X232),X232)
| leaf(X231,X232) )
& ( ~ min_precedes(X233,X231,X232)
| min_precedes(X231,esk7_2(X231,X232),X232)
| leaf(X231,X232) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_21])])])])])]) ).
fof(c_0_67,plain,
! [X181,X182,X183] :
( ~ earlier(X181,X182)
| ~ earlier(X182,X183)
| earlier(X181,X183) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_05])]) ).
cnf(c_0_68,plain,
( earlier(X1,X2)
| ~ precedes(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_69,negated_conjecture,
precedes(esk18_1(esk20_0),esk19_1(esk20_0)),
inference(spm,[status(thm)],[c_0_63,c_0_45]) ).
cnf(c_0_70,plain,
( occurrence_of(esk19_1(X1),tptp2)
| occurrence_of(esk19_1(X1),tptp1)
| leaf_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_71,negated_conjecture,
( esk19_1(esk20_0) = esk20_0
| min_precedes(esk20_0,esk19_1(esk20_0),X1)
| ~ occurrence_of(esk16_2(esk19_1(esk20_0),tptp0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_26])]) ).
cnf(c_0_72,plain,
( ~ min_precedes(X1,X2,X3)
| ~ leaf(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_73,plain,
( earlier(X1,X3)
| ~ earlier(X1,X2)
| ~ earlier(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_74,negated_conjecture,
earlier(esk18_1(esk20_0),esk19_1(esk20_0)),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_75,negated_conjecture,
precedes(esk17_1(esk20_0),esk18_1(esk20_0)),
inference(spm,[status(thm)],[c_0_63,c_0_43]) ).
cnf(c_0_76,negated_conjecture,
( ~ occurrence_of(X1,tptp1)
| ~ occurrence_of(X2,tptp3)
| ~ next_subocc(esk20_0,X2,tptp0)
| ~ min_precedes(X2,X1,tptp0)
| ~ leaf(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_77,negated_conjecture,
( leaf_occ(X1,esk21_0)
| occurrence_of(esk19_1(X1),tptp1)
| occurrence_of(esk19_1(X1),tptp2)
| ~ subactivity_occurrence(X1,esk21_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_70,c_0_18]) ).
cnf(c_0_78,negated_conjecture,
( ~ occurrence_of(X1,tptp2)
| ~ occurrence_of(X2,tptp3)
| ~ next_subocc(esk20_0,X2,tptp0)
| ~ min_precedes(X2,X1,tptp0)
| ~ leaf(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_79,plain,
( occurrence_of(esk17_1(X1),tptp3)
| leaf_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_80,plain,
! [X216,X217,X218,X219] :
( ~ min_precedes(X216,X217,X219)
| ~ min_precedes(X216,X218,X219)
| ~ precedes(X217,X218)
| min_precedes(X217,X218,X219) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_18])]) ).
cnf(c_0_81,negated_conjecture,
( esk19_1(esk20_0) = esk20_0
| min_precedes(esk20_0,esk19_1(esk20_0),tptp0) ),
inference(spm,[status(thm)],[c_0_71,c_0_51]) ).
cnf(c_0_82,negated_conjecture,
~ leaf(esk20_0,tptp0),
inference(spm,[status(thm)],[c_0_72,c_0_49]) ).
cnf(c_0_83,negated_conjecture,
( earlier(X1,esk19_1(esk20_0))
| ~ earlier(X1,esk18_1(esk20_0)) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_84,negated_conjecture,
earlier(esk17_1(esk20_0),esk18_1(esk20_0)),
inference(spm,[status(thm)],[c_0_68,c_0_75]) ).
cnf(c_0_85,plain,
( legal(X1)
| ~ precedes(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_86,negated_conjecture,
( ~ next_subocc(esk20_0,X1,tptp0)
| ~ min_precedes(X1,esk19_1(esk20_0),tptp0)
| ~ occurrence_of(esk19_1(esk20_0),tptp1)
| ~ occurrence_of(X1,tptp3) ),
inference(spm,[status(thm)],[c_0_76,c_0_39]) ).
cnf(c_0_87,negated_conjecture,
( occurrence_of(esk19_1(esk20_0),tptp2)
| occurrence_of(esk19_1(esk20_0),tptp1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_25]),c_0_26])]),c_0_27]) ).
cnf(c_0_88,negated_conjecture,
( ~ next_subocc(esk20_0,X1,tptp0)
| ~ min_precedes(X1,esk19_1(esk20_0),tptp0)
| ~ occurrence_of(esk19_1(esk20_0),tptp2)
| ~ occurrence_of(X1,tptp3) ),
inference(spm,[status(thm)],[c_0_78,c_0_39]) ).
cnf(c_0_89,negated_conjecture,
( leaf_occ(X1,esk21_0)
| occurrence_of(esk17_1(X1),tptp3)
| ~ subactivity_occurrence(X1,esk21_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_79,c_0_18]) ).
cnf(c_0_90,plain,
( min_precedes(X2,X4,X3)
| ~ min_precedes(X1,X2,X3)
| ~ min_precedes(X1,X4,X3)
| ~ precedes(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_91,negated_conjecture,
min_precedes(esk20_0,esk19_1(esk20_0),tptp0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_81]),c_0_82]) ).
cnf(c_0_92,plain,
( precedes(X1,X2)
| ~ earlier(X1,X2)
| ~ legal(X2) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_93,negated_conjecture,
earlier(esk17_1(esk20_0),esk19_1(esk20_0)),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_94,negated_conjecture,
legal(esk19_1(esk20_0)),
inference(spm,[status(thm)],[c_0_85,c_0_69]) ).
cnf(c_0_95,negated_conjecture,
( ~ next_subocc(esk20_0,X1,tptp0)
| ~ min_precedes(X1,esk19_1(esk20_0),tptp0)
| ~ occurrence_of(X1,tptp3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88]) ).
cnf(c_0_96,negated_conjecture,
occurrence_of(esk17_1(esk20_0),tptp3),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_25]),c_0_26])]),c_0_27]) ).
cnf(c_0_97,negated_conjecture,
( min_precedes(X1,esk19_1(esk20_0),tptp0)
| ~ min_precedes(esk20_0,X1,tptp0)
| ~ precedes(X1,esk19_1(esk20_0)) ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_98,negated_conjecture,
precedes(esk17_1(esk20_0),esk19_1(esk20_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_94])]) ).
cnf(c_0_99,negated_conjecture,
~ min_precedes(esk17_1(esk20_0),esk19_1(esk20_0),tptp0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_41])]) ).
cnf(c_0_100,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_49])]),c_0_99]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : PRO014+3 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.11/0.33 % Computer : n017.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Aug 28 18:47:58 EDT 2023
% 0.11/0.34 % CPUTime :
% 0.18/0.57 start to proof: theBenchmark
% 1.03/1.14 % Version : CSE_E---1.5
% 1.03/1.14 % Problem : theBenchmark.p
% 1.03/1.14 % Proof found
% 1.03/1.14 % SZS status Theorem for theBenchmark.p
% 1.03/1.14 % SZS output start Proof
% See solution above
% 1.03/1.15 % Total time : 0.558000 s
% 1.03/1.15 % SZS output end Proof
% 1.03/1.15 % Total time : 0.562000 s
%------------------------------------------------------------------------------