TSTP Solution File: PRO012+3 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : PRO012+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 : n008.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 13:06:07 EDT 2023
% Result : Theorem 1.05s 1.12s
% Output : CNFRefutation 1.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 60
% Syntax : Number of formulae : 155 ( 35 unt; 42 typ; 0 def)
% Number of atoms : 341 ( 23 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 373 ( 145 ~; 154 |; 53 &)
% ( 4 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 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 : 25 ( 25 usr; 6 con; 0-4 aty)
% Number of variables : 191 ( 7 sgn; 98 !; 13 ?; 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 ).
fof(sos_27,axiom,
! [X77,X78] :
( ( occurrence_of(X78,X77)
& ~ atomic(X77) )
=> ? [X79] :
( root(X79,X77)
& subactivity_occurrence(X79,X78) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_27) ).
fof(goals,conjecture,
! [X167] :
( occurrence_of(X167,tptp0)
=> ? [X168,X169] :
( occurrence_of(X168,tptp3)
& root_occ(X168,X167)
& ( occurrence_of(X169,tptp2)
| occurrence_of(X169,tptp1) )
& min_precedes(X168,X169,tptp0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(sos_51,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_51) ).
fof(sos_33,axiom,
! [X100,X101] :
( root_occ(X100,X101)
<=> ? [X102] :
( occurrence_of(X101,X102)
& subactivity_occurrence(X100,X101)
& root(X100,X102) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_33) ).
fof(sos_35,axiom,
! [X106,X107,X108,X109] :
( ( occurrence_of(X108,X109)
& root_occ(X106,X108)
& root_occ(X107,X108) )
=> X106 = X107 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_35) ).
fof(sos_49,axiom,
! [X162] :
( occurrence_of(X162,tptp0)
=> ? [X163,X164,X165] :
( occurrence_of(X163,tptp3)
& root_occ(X163,X162)
& occurrence_of(X164,tptp4)
& min_precedes(X163,X164,tptp0)
& ( occurrence_of(X165,tptp2)
| occurrence_of(X165,tptp1) )
& min_precedes(X164,X165,tptp0)
& ! [X166] :
( min_precedes(X163,X166,tptp0)
=> ( X166 = X164
| X166 = X165 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_49) ).
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_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_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_25,axiom,
! [X70,X71,X72] :
( min_precedes(X71,X72,X70)
=> ? [X73] :
( occurrence_of(X73,X70)
& subactivity_occurrence(X71,X73)
& subactivity_occurrence(X72,X73) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_25) ).
fof(sos_08,axiom,
! [X19] :
( legal(X19)
=> arboreal(X19) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_08) ).
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_28,axiom,
! [X80,X81,X82,X83] :
( ( occurrence_of(X81,X80)
& arboreal(X82)
& arboreal(X83)
& subactivity_occurrence(X82,X81)
& subactivity_occurrence(X83,X81) )
=> ( min_precedes(X82,X83,X80)
| min_precedes(X83,X82,X80)
| X82 = X83 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_28) ).
fof(sos_07,axiom,
! [X17,X18] :
( occurrence_of(X17,X18)
=> ( arboreal(X17)
<=> atomic(X18) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07) ).
fof(sos_55,axiom,
atomic(tptp3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_55) ).
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(sos_14,axiom,
! [X36,X37,X38] :
( min_precedes(X36,X37,X38)
=> ~ root(X37,X38) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_14) ).
fof(c_0_18,plain,
! [X77,X78] :
( ( occurrence_of(X78,X77)
& ~ atomic(X77) )
=> ? [X79] :
( root(X79,X77)
& subactivity_occurrence(X79,X78) ) ),
inference(fof_simplification,[status(thm)],[sos_27]) ).
fof(c_0_19,negated_conjecture,
~ ! [X167] :
( occurrence_of(X167,tptp0)
=> ? [X168,X169] :
( occurrence_of(X168,tptp3)
& root_occ(X168,X167)
& ( occurrence_of(X169,tptp2)
| occurrence_of(X169,tptp1) )
& min_precedes(X168,X169,tptp0) ) ),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_20,plain,
! [X257,X258] :
( ( root(esk12_2(X257,X258),X257)
| ~ occurrence_of(X258,X257)
| atomic(X257) )
& ( subactivity_occurrence(esk12_2(X257,X258),X258)
| ~ occurrence_of(X258,X257)
| atomic(X257) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])]) ).
fof(c_0_21,negated_conjecture,
! [X354,X355] :
( occurrence_of(esk20_0,tptp0)
& ( ~ occurrence_of(X355,tptp2)
| ~ occurrence_of(X354,tptp3)
| ~ root_occ(X354,esk20_0)
| ~ min_precedes(X354,X355,tptp0) )
& ( ~ occurrence_of(X355,tptp1)
| ~ occurrence_of(X354,tptp3)
| ~ root_occ(X354,esk20_0)
| ~ min_precedes(X354,X355,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_19])])])])]) ).
fof(c_0_22,plain,
~ atomic(tptp0),
inference(fof_simplification,[status(thm)],[sos_51]) ).
fof(c_0_23,plain,
! [X280,X281,X283,X284,X285] :
( ( occurrence_of(X281,esk14_2(X280,X281))
| ~ root_occ(X280,X281) )
& ( subactivity_occurrence(X280,X281)
| ~ root_occ(X280,X281) )
& ( root(X280,esk14_2(X280,X281))
| ~ root_occ(X280,X281) )
& ( ~ occurrence_of(X284,X285)
| ~ subactivity_occurrence(X283,X284)
| ~ root(X283,X285)
| root_occ(X283,X284) ) ),
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_33])])])])])]) ).
cnf(c_0_24,plain,
( subactivity_occurrence(esk12_2(X1,X2),X2)
| atomic(X1)
| ~ occurrence_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_25,negated_conjecture,
occurrence_of(esk20_0,tptp0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_26,plain,
~ atomic(tptp0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_27,plain,
( root_occ(X3,X1)
| ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X3,X1)
| ~ root(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_28,negated_conjecture,
subactivity_occurrence(esk12_2(tptp0,esk20_0),esk20_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
cnf(c_0_29,plain,
( root(esk12_2(X1,X2),X1)
| atomic(X1)
| ~ occurrence_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_30,plain,
! [X292,X293,X294,X295] :
( ~ occurrence_of(X294,X295)
| ~ root_occ(X292,X294)
| ~ root_occ(X293,X294)
| X292 = X293 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_35])]) ).
cnf(c_0_31,negated_conjecture,
( root_occ(esk12_2(tptp0,esk20_0),esk20_0)
| ~ root(esk12_2(tptp0,esk20_0),X1)
| ~ occurrence_of(esk20_0,X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_32,negated_conjecture,
root(esk12_2(tptp0,esk20_0),tptp0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_25]),c_0_26]) ).
fof(c_0_33,plain,
! [X348,X352] :
( ( occurrence_of(esk17_1(X348),tptp3)
| ~ occurrence_of(X348,tptp0) )
& ( root_occ(esk17_1(X348),X348)
| ~ occurrence_of(X348,tptp0) )
& ( occurrence_of(esk18_1(X348),tptp4)
| ~ occurrence_of(X348,tptp0) )
& ( min_precedes(esk17_1(X348),esk18_1(X348),tptp0)
| ~ occurrence_of(X348,tptp0) )
& ( occurrence_of(esk19_1(X348),tptp2)
| occurrence_of(esk19_1(X348),tptp1)
| ~ occurrence_of(X348,tptp0) )
& ( min_precedes(esk18_1(X348),esk19_1(X348),tptp0)
| ~ occurrence_of(X348,tptp0) )
& ( ~ min_precedes(esk17_1(X348),X352,tptp0)
| X352 = esk18_1(X348)
| X352 = esk19_1(X348)
| ~ occurrence_of(X348,tptp0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_49])])])])]) ).
cnf(c_0_34,plain,
( X3 = X4
| ~ occurrence_of(X1,X2)
| ~ root_occ(X3,X1)
| ~ root_occ(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_35,negated_conjecture,
root_occ(esk12_2(tptp0,esk20_0),esk20_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_25]),c_0_32])]) ).
cnf(c_0_36,plain,
( root_occ(esk17_1(X1),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_37,negated_conjecture,
( X1 = esk12_2(tptp0,esk20_0)
| ~ root_occ(X1,esk20_0)
| ~ occurrence_of(esk20_0,X2) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_38,negated_conjecture,
root_occ(esk17_1(esk20_0),esk20_0),
inference(spm,[status(thm)],[c_0_36,c_0_25]) ).
cnf(c_0_39,negated_conjecture,
( esk12_2(tptp0,esk20_0) = esk17_1(esk20_0)
| ~ occurrence_of(esk20_0,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
fof(c_0_40,plain,
! [X226,X227,X229,X230,X231,X232] :
( ( root(X226,X227)
| min_precedes(esk6_2(X226,X227),X226,X227)
| ~ leaf(X226,X227) )
& ( ~ min_precedes(X226,X229,X227)
| ~ leaf(X226,X227) )
& ( ~ root(X230,X231)
| min_precedes(X230,esk7_2(X230,X231),X231)
| leaf(X230,X231) )
& ( ~ min_precedes(X232,X230,X231)
| min_precedes(X230,esk7_2(X230,X231),X231)
| leaf(X230,X231) ) ),
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])])])])])]) ).
cnf(c_0_41,plain,
( min_precedes(esk17_1(X1),esk18_1(X1),tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_42,negated_conjecture,
esk12_2(tptp0,esk20_0) = esk17_1(esk20_0),
inference(spm,[status(thm)],[c_0_39,c_0_25]) ).
cnf(c_0_43,plain,
( ~ min_precedes(X1,X2,X3)
| ~ leaf(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_44,negated_conjecture,
min_precedes(esk17_1(esk20_0),esk18_1(esk20_0),tptp0),
inference(spm,[status(thm)],[c_0_41,c_0_25]) ).
cnf(c_0_45,plain,
( occurrence_of(esk17_1(X1),tptp3)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_46,plain,
! [X208,X209,X210] :
( ~ min_precedes(X208,X209,X210)
| precedes(X208,X209) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_15])]) ).
cnf(c_0_47,plain,
( min_precedes(esk18_1(X1),esk19_1(X1),tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_48,plain,
( X2 = esk18_1(X1)
| X2 = esk19_1(X1)
| ~ min_precedes(esk17_1(X1),X2,tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_49,plain,
( min_precedes(X1,esk7_2(X1,X2),X2)
| leaf(X1,X2)
| ~ root(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_50,negated_conjecture,
root(esk17_1(esk20_0),tptp0),
inference(rw,[status(thm)],[c_0_32,c_0_42]) ).
cnf(c_0_51,negated_conjecture,
~ leaf(esk17_1(esk20_0),tptp0),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_52,negated_conjecture,
( ~ occurrence_of(X1,tptp1)
| ~ occurrence_of(X2,tptp3)
| ~ root_occ(X2,esk20_0)
| ~ min_precedes(X2,X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_53,negated_conjecture,
occurrence_of(esk17_1(esk20_0),tptp3),
inference(spm,[status(thm)],[c_0_45,c_0_25]) ).
cnf(c_0_54,plain,
( occurrence_of(esk19_1(X1),tptp2)
| occurrence_of(esk19_1(X1),tptp1)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_55,negated_conjecture,
( ~ occurrence_of(X1,tptp2)
| ~ occurrence_of(X2,tptp3)
| ~ root_occ(X2,esk20_0)
| ~ min_precedes(X2,X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_56,plain,
! [X191,X192] :
( ( earlier(X191,X192)
| ~ precedes(X191,X192) )
& ( legal(X192)
| ~ precedes(X191,X192) )
& ( ~ earlier(X191,X192)
| ~ legal(X192)
| precedes(X191,X192) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_10])])]) ).
cnf(c_0_57,plain,
( precedes(X1,X2)
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_58,negated_conjecture,
min_precedes(esk18_1(esk20_0),esk19_1(esk20_0),tptp0),
inference(spm,[status(thm)],[c_0_47,c_0_25]) ).
fof(c_0_59,plain,
! [X264,X265,X266,X267] :
( ~ min_precedes(X264,X265,X266)
| ~ occurrence_of(X267,X266)
| ~ subactivity_occurrence(X265,X267)
| subactivity_occurrence(X264,X267) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_29])]) ).
cnf(c_0_60,negated_conjecture,
( X1 = esk19_1(esk20_0)
| X1 = esk18_1(esk20_0)
| ~ min_precedes(esk17_1(esk20_0),X1,tptp0) ),
inference(spm,[status(thm)],[c_0_48,c_0_25]) ).
cnf(c_0_61,negated_conjecture,
min_precedes(esk17_1(esk20_0),esk7_2(esk17_1(esk20_0),tptp0),tptp0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]) ).
cnf(c_0_62,negated_conjecture,
( ~ min_precedes(esk17_1(esk20_0),X1,tptp0)
| ~ occurrence_of(X1,tptp1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_38]),c_0_53])]) ).
cnf(c_0_63,negated_conjecture,
( occurrence_of(esk19_1(esk20_0),tptp1)
| occurrence_of(esk19_1(esk20_0),tptp2) ),
inference(spm,[status(thm)],[c_0_54,c_0_25]) ).
cnf(c_0_64,negated_conjecture,
( ~ min_precedes(esk17_1(esk20_0),X1,tptp0)
| ~ occurrence_of(X1,tptp2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_38]),c_0_53])]) ).
fof(c_0_65,plain,
! [X250,X251,X252] :
( ( occurrence_of(esk10_3(X250,X251,X252),X250)
| ~ min_precedes(X251,X252,X250) )
& ( subactivity_occurrence(X251,esk10_3(X250,X251,X252))
| ~ min_precedes(X251,X252,X250) )
& ( subactivity_occurrence(X252,esk10_3(X250,X251,X252))
| ~ min_precedes(X251,X252,X250) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_25])])])]) ).
fof(c_0_66,plain,
! [X188] :
( ~ legal(X188)
| arboreal(X188) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_08])]) ).
cnf(c_0_67,plain,
( legal(X1)
| ~ precedes(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_68,negated_conjecture,
precedes(esk18_1(esk20_0),esk19_1(esk20_0)),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_69,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_59]) ).
cnf(c_0_70,negated_conjecture,
( esk7_2(esk17_1(esk20_0),tptp0) = esk18_1(esk20_0)
| esk7_2(esk17_1(esk20_0),tptp0) = esk19_1(esk20_0) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_71,negated_conjecture,
~ min_precedes(esk17_1(esk20_0),esk19_1(esk20_0),tptp0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]) ).
fof(c_0_72,plain,
! [X180,X181,X182] :
( ~ earlier(X180,X181)
| ~ earlier(X181,X182)
| earlier(X180,X182) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_05])]) ).
cnf(c_0_73,plain,
( earlier(X1,X2)
| ~ precedes(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
fof(c_0_74,plain,
! [X260,X261,X262,X263] :
( ~ occurrence_of(X261,X260)
| ~ arboreal(X262)
| ~ arboreal(X263)
| ~ subactivity_occurrence(X262,X261)
| ~ subactivity_occurrence(X263,X261)
| min_precedes(X262,X263,X260)
| min_precedes(X263,X262,X260)
| X262 = X263 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_28])]) ).
cnf(c_0_75,plain,
( subactivity_occurrence(X1,esk10_3(X2,X3,X1))
| ~ min_precedes(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_76,plain,
( arboreal(X1)
| ~ legal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_77,negated_conjecture,
legal(esk19_1(esk20_0)),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_78,negated_conjecture,
( subactivity_occurrence(esk17_1(esk20_0),X1)
| ~ subactivity_occurrence(esk7_2(esk17_1(esk20_0),tptp0),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_69,c_0_61]) ).
cnf(c_0_79,negated_conjecture,
esk7_2(esk17_1(esk20_0),tptp0) = esk18_1(esk20_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_70]),c_0_71]) ).
cnf(c_0_80,plain,
( occurrence_of(esk10_3(X1,X2,X3),X1)
| ~ min_precedes(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_81,plain,
( subactivity_occurrence(X1,esk10_3(X2,X1,X3))
| ~ min_precedes(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
fof(c_0_82,plain,
! [X186,X187] :
( ( ~ arboreal(X186)
| atomic(X187)
| ~ occurrence_of(X186,X187) )
& ( ~ atomic(X187)
| arboreal(X186)
| ~ occurrence_of(X186,X187) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_07])])]) ).
cnf(c_0_83,plain,
( earlier(X1,X3)
| ~ earlier(X1,X2)
| ~ earlier(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_84,negated_conjecture,
earlier(esk18_1(esk20_0),esk19_1(esk20_0)),
inference(spm,[status(thm)],[c_0_73,c_0_68]) ).
cnf(c_0_85,negated_conjecture,
precedes(esk17_1(esk20_0),esk18_1(esk20_0)),
inference(spm,[status(thm)],[c_0_57,c_0_44]) ).
cnf(c_0_86,plain,
( min_precedes(X3,X4,X2)
| min_precedes(X4,X3,X2)
| X3 = X4
| ~ occurrence_of(X1,X2)
| ~ arboreal(X3)
| ~ arboreal(X4)
| ~ subactivity_occurrence(X3,X1)
| ~ subactivity_occurrence(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_87,negated_conjecture,
subactivity_occurrence(esk19_1(esk20_0),esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0))),
inference(spm,[status(thm)],[c_0_75,c_0_58]) ).
cnf(c_0_88,negated_conjecture,
arboreal(esk19_1(esk20_0)),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_89,negated_conjecture,
( subactivity_occurrence(esk17_1(esk20_0),X1)
| ~ subactivity_occurrence(esk18_1(esk20_0),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(rw,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_90,negated_conjecture,
occurrence_of(esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0)),tptp0),
inference(spm,[status(thm)],[c_0_80,c_0_58]) ).
cnf(c_0_91,negated_conjecture,
subactivity_occurrence(esk18_1(esk20_0),esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0))),
inference(spm,[status(thm)],[c_0_81,c_0_58]) ).
cnf(c_0_92,plain,
( arboreal(X2)
| ~ atomic(X1)
| ~ occurrence_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_93,plain,
atomic(tptp3),
inference(split_conjunct,[status(thm)],[sos_55]) ).
fof(c_0_94,plain,
! [X215,X216,X217,X218] :
( ~ min_precedes(X215,X216,X218)
| ~ min_precedes(X215,X217,X218)
| ~ precedes(X216,X217)
| min_precedes(X216,X217,X218) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_18])]) ).
cnf(c_0_95,negated_conjecture,
( earlier(X1,esk19_1(esk20_0))
| ~ earlier(X1,esk18_1(esk20_0)) ),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_96,negated_conjecture,
earlier(esk17_1(esk20_0),esk18_1(esk20_0)),
inference(spm,[status(thm)],[c_0_73,c_0_85]) ).
cnf(c_0_97,negated_conjecture,
( X1 = esk19_1(esk20_0)
| min_precedes(X1,esk19_1(esk20_0),X2)
| min_precedes(esk19_1(esk20_0),X1,X2)
| ~ subactivity_occurrence(X1,esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0)))
| ~ arboreal(X1)
| ~ occurrence_of(esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0)),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88])]) ).
cnf(c_0_98,negated_conjecture,
subactivity_occurrence(esk17_1(esk20_0),esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_91])]) ).
cnf(c_0_99,negated_conjecture,
arboreal(esk17_1(esk20_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_53]),c_0_93])]) ).
cnf(c_0_100,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_94]) ).
cnf(c_0_101,plain,
( precedes(X1,X2)
| ~ earlier(X1,X2)
| ~ legal(X2) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_102,negated_conjecture,
earlier(esk17_1(esk20_0),esk19_1(esk20_0)),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
fof(c_0_103,plain,
! [X36,X37,X38] :
( min_precedes(X36,X37,X38)
=> ~ root(X37,X38) ),
inference(fof_simplification,[status(thm)],[sos_14]) ).
cnf(c_0_104,negated_conjecture,
( esk19_1(esk20_0) = esk17_1(esk20_0)
| min_precedes(esk19_1(esk20_0),esk17_1(esk20_0),X1)
| min_precedes(esk17_1(esk20_0),esk19_1(esk20_0),X1)
| ~ occurrence_of(esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0)),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_99])]) ).
cnf(c_0_105,negated_conjecture,
( min_precedes(X1,esk19_1(esk20_0),tptp0)
| ~ min_precedes(esk18_1(esk20_0),X1,tptp0)
| ~ precedes(X1,esk19_1(esk20_0)) ),
inference(spm,[status(thm)],[c_0_100,c_0_58]) ).
cnf(c_0_106,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_101,c_0_102]),c_0_77])]) ).
fof(c_0_107,plain,
! [X205,X206,X207] :
( ~ min_precedes(X205,X206,X207)
| ~ root(X206,X207) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_103])]) ).
cnf(c_0_108,negated_conjecture,
( esk19_1(esk20_0) = esk17_1(esk20_0)
| min_precedes(esk19_1(esk20_0),esk17_1(esk20_0),tptp0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_90]),c_0_71]) ).
cnf(c_0_109,negated_conjecture,
~ min_precedes(esk18_1(esk20_0),esk17_1(esk20_0),tptp0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_71]) ).
cnf(c_0_110,plain,
( ~ min_precedes(X1,X2,X3)
| ~ root(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_111,negated_conjecture,
min_precedes(esk19_1(esk20_0),esk17_1(esk20_0),tptp0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_108]),c_0_109]) ).
cnf(c_0_112,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_50])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PRO012+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 19:19:32 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.58 start to proof: theBenchmark
% 1.05/1.12 % Version : CSE_E---1.5
% 1.05/1.12 % Problem : theBenchmark.p
% 1.05/1.12 % Proof found
% 1.05/1.12 % SZS status Theorem for theBenchmark.p
% 1.05/1.12 % SZS output start Proof
% See solution above
% 1.05/1.13 % Total time : 0.532000 s
% 1.05/1.13 % SZS output end Proof
% 1.05/1.13 % Total time : 0.536000 s
%------------------------------------------------------------------------------