%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : PRO002+4 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:59:29 PM UTC 2026
% Result : Theorem 1.48s 0.74s
% Output : CNFRefutation 1.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 16
% Syntax : Number of formulae : 114 ( 32 unt; 0 def)
% Number of atoms : 342 ( 40 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 379 ( 151 ~; 136 |; 73 &)
% ( 3 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-5 aty)
% Number of functors : 19 ( 19 usr; 7 con; 0-4 aty)
% Number of variables : 238 ( 27 sgn 117 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(sos_48,axiom,
! [X121,X122,X123] :
( tptp1(X121,X122,X123)
=> ( root(X123,X122)
& ~ atomic(X122)
& ~ atomic(X121)
& activity(X121) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_48) ).
fof(goals,conjecture,
~ ? [X134,X135,X136] :
( occurrence_of(X136,X134)
& tptp1(X134,tptp0,X135) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(sos,axiom,
! [X1,X2] :
( ( ~ atomic(X1)
& occurrence_of(X2,X1) )
=> ? [X3] :
( subactivity_occurrence(X3,X2)
& root(X3,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos) ).
fof(sos_19,axiom,
! [X59,X60] :
( root_occ(X59,X60)
<=> ? [X61] :
( root(X59,X61)
& subactivity_occurrence(X59,X60)
& occurrence_of(X60,X61) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_19) ).
fof(sos_49,axiom,
! [X124,X125,X126,X127] :
( ( occurrence_of(X127,X124)
& tptp1(X124,X125,X126) )
=> ? [X128,X129,X130,X131] :
( root_occ(X131,X127)
& occurrence_of(X131,X128)
& send_message(X128,X129,X130,X126,X125) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_49) ).
fof(sos_29,axiom,
! [X91,X92,X93,X94] :
( ( root_occ(X92,X93)
& root_occ(X91,X93)
& occurrence_of(X93,X94) )
=> X91 = X92 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_29) ).
fof(sos_47,axiom,
! [X115,X116,X117,X118,X119,X120] :
( ( occurrence_of(X120,X115)
& send_message(X115,X116,X117,X118,X119) )
=> min_precedes(X118,X120,X119) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_47) ).
fof(sos_06,axiom,
! [X22,X23,X24] :
( min_precedes(X23,X24,X22)
=> ? [X25] :
( subactivity_occurrence(X24,X25)
& subactivity_occurrence(X23,X25)
& occurrence_of(X25,X22) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_06) ).
fof(sos_32,axiom,
! [X102] :
( occurrence_of(X102,tptp0)
=> ? [X103,X104] :
( next_subocc(X103,X104,tptp0)
& leaf_occ(X104,X102)
& ( occurrence_of(X104,tptp2)
| occurrence_of(X104,tptp3) )
& root_occ(X103,X102)
& occurrence_of(X103,tptp4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_32) ).
fof(sos_18,axiom,
! [X56,X57] :
( leaf_occ(X56,X57)
<=> ? [X58] :
( leaf(X56,X58)
& subactivity_occurrence(X56,X57)
& occurrence_of(X57,X58) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_18) ).
fof(sos_11,axiom,
! [X40,X41] :
( subactivity_occurrence(X40,X41)
=> ( activity_occurrence(X41)
& activity_occurrence(X40) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_11) ).
fof(sos_01,axiom,
! [X4,X5,X6,X7,X8] :
( ( X6 != X8
& min_precedes(X7,X6,X4)
& subactivity_occurrence(X6,X5)
& leaf_occ(X8,X5)
& root_occ(X7,X5)
& occurrence_of(X5,X4) )
=> min_precedes(X6,X8,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_01) ).
fof(sos_12,axiom,
! [X42] :
( activity_occurrence(X42)
=> ? [X43] :
( occurrence_of(X42,X43)
& activity(X43) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_12) ).
fof(sos_08,axiom,
! [X29,X30,X31] :
( ( occurrence_of(X29,X31)
& occurrence_of(X29,X30) )
=> X30 = X31 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_08) ).
fof(sos_26,axiom,
! [X79,X80,X81] :
( next_subocc(X79,X80,X81)
<=> ( ~ ? [X82] :
( min_precedes(X82,X80,X81)
& min_precedes(X79,X82,X81) )
& min_precedes(X79,X80,X81) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_26) ).
fof(sos_46,axiom,
! [X110,X111,X112,X113,X114] :
( send_message(X110,X111,X112,X113,X114)
=> ( X110 != tptp2
& X110 != tptp3
& X110 != tptp4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_46) ).
fof(c_0_16,plain,
! [X121,X122,X123] :
( tptp1(X121,X122,X123)
=> ( root(X123,X122)
& ~ atomic(X122)
& ~ atomic(X121)
& activity(X121) ) ),
inference(fof_simplification,[status(thm)],[sos_48]) ).
fof(c_0_17,negated_conjecture,
~ ~ ? [X134,X135,X136] :
( occurrence_of(X136,X134)
& tptp1(X134,tptp0,X135) ),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_18,plain,
! [X1,X2] :
( ( ~ atomic(X1)
& occurrence_of(X2,X1) )
=> ? [X3] :
( subactivity_occurrence(X3,X2)
& root(X3,X1) ) ),
inference(fof_simplification,[status(thm)],[sos]) ).
fof(c_0_19,plain,
! [X274,X275,X276] :
( ( ~ tptp1(X274,X275,X276)
| root(X276,X275) )
& ( ~ tptp1(X274,X275,X276)
| ~ atomic(X275) )
& ( ~ tptp1(X274,X275,X276)
| ~ atomic(X274) )
& ( ~ tptp1(X274,X275,X276)
| activity(X274) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])]) ).
fof(c_0_20,negated_conjecture,
( occurrence_of(esk21_0,esk19_0)
& tptp1(esk19_0,tptp0,esk20_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])]) ).
fof(c_0_21,plain,
! [X137,X138] :
( ( atomic(X137)
| ~ occurrence_of(X138,X137)
| subactivity_occurrence(esk1_2(X137,X138),X138) )
& ( atomic(X137)
| ~ occurrence_of(X138,X137)
| root(esk1_2(X137,X138),X137) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])])]) ).
cnf(c_0_22,plain,
( ~ tptp1(X1,X2,X3)
| ~ atomic(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_23,negated_conjecture,
tptp1(esk19_0,tptp0,esk20_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_24,plain,
! [X205,X206,X208,X209,X210] :
( ( root_occ(X208,X209)
| ~ root(X208,X210)
| ~ subactivity_occurrence(X208,X209)
| ~ occurrence_of(X209,X210) )
& ( ~ root_occ(X205,X206)
| root(X205,esk10_2(X205,X206)) )
& ( ~ root_occ(X205,X206)
| subactivity_occurrence(X205,X206) )
& ( ~ root_occ(X205,X206)
| occurrence_of(X206,esk10_2(X205,X206)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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_19])])])])])])]) ).
cnf(c_0_25,plain,
( ~ occurrence_of(X2,X1)
| atomic(X1)
| subactivity_occurrence(esk1_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_26,negated_conjecture,
occurrence_of(esk21_0,esk19_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_27,negated_conjecture,
~ atomic(esk19_0),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_28,plain,
( ~ root(X3,X2)
| ~ subactivity_occurrence(X3,X1)
| ~ occurrence_of(X1,X2)
| root_occ(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_29,negated_conjecture,
subactivity_occurrence(esk1_2(esk19_0,esk21_0),esk21_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).
cnf(c_0_30,plain,
( ~ occurrence_of(X2,X1)
| atomic(X1)
| root(esk1_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_31,plain,
! [X277,X278,X279,X280] :
( ( ~ occurrence_of(X280,X277)
| ~ tptp1(X277,X278,X279)
| root_occ(esk18_4(X277,X278,X279,X280),X280) )
& ( ~ occurrence_of(X280,X277)
| ~ tptp1(X277,X278,X279)
| occurrence_of(esk18_4(X277,X278,X279,X280),esk15_4(X277,X278,X279,X280)) )
& ( ~ occurrence_of(X280,X277)
| ~ tptp1(X277,X278,X279)
| send_message(esk15_4(X277,X278,X279,X280),esk16_4(X277,X278,X279,X280),esk17_4(X277,X278,X279,X280),X279,X278) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_49])])])])]) ).
fof(c_0_32,plain,
! [X244,X245,X246,X247] :
( X244 = X245
| ~ root_occ(X245,X246)
| ~ root_occ(X244,X246)
| ~ occurrence_of(X246,X247) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_29])])]) ).
cnf(c_0_33,negated_conjecture,
( ~ occurrence_of(esk21_0,X1)
| ~ root(esk1_2(esk19_0,esk21_0),X1)
| root_occ(esk1_2(esk19_0,esk21_0),esk21_0) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_34,negated_conjecture,
root(esk1_2(esk19_0,esk21_0),esk19_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_26]),c_0_27]) ).
cnf(c_0_35,plain,
( ~ occurrence_of(X4,X1)
| ~ tptp1(X1,X2,X3)
| root_occ(esk18_4(X1,X2,X3,X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_36,plain,
( ~ root_occ(X4,X1)
| ~ root_occ(X3,X1)
| ~ occurrence_of(X1,X2)
| X3 = X4 ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_37,negated_conjecture,
root_occ(esk1_2(esk19_0,esk21_0),esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_26]),c_0_34])]) ).
cnf(c_0_38,negated_conjecture,
( ~ occurrence_of(X1,esk19_0)
| root_occ(esk18_4(esk19_0,tptp0,esk20_0,X1),X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_23]) ).
cnf(c_0_39,plain,
( ~ occurrence_of(X4,X1)
| ~ tptp1(X1,X2,X3)
| send_message(esk15_4(X1,X2,X3,X4),esk16_4(X1,X2,X3,X4),esk17_4(X1,X2,X3,X4),X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_40,negated_conjecture,
( ~ occurrence_of(esk21_0,X2)
| ~ root_occ(X1,esk21_0)
| X1 = esk1_2(esk19_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_41,negated_conjecture,
root_occ(esk18_4(esk19_0,tptp0,esk20_0,esk21_0),esk21_0),
inference(spm,[status(thm)],[c_0_38,c_0_26]) ).
fof(c_0_42,plain,
! [X268,X269,X270,X271,X272,X273] :
( min_precedes(X271,X273,X272)
| ~ occurrence_of(X273,X268)
| ~ send_message(X268,X269,X270,X271,X272) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_47])])]) ).
cnf(c_0_43,negated_conjecture,
( ~ occurrence_of(X1,esk19_0)
| send_message(esk15_4(esk19_0,tptp0,esk20_0,X1),esk16_4(esk19_0,tptp0,esk20_0,X1),esk17_4(esk19_0,tptp0,esk20_0,X1),esk20_0,tptp0) ),
inference(spm,[status(thm)],[c_0_39,c_0_23]) ).
cnf(c_0_44,plain,
( ~ occurrence_of(X4,X1)
| ~ tptp1(X1,X2,X3)
| occurrence_of(esk18_4(X1,X2,X3,X4),esk15_4(X1,X2,X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_45,negated_conjecture,
( ~ occurrence_of(esk21_0,X1)
| esk18_4(esk19_0,tptp0,esk20_0,esk21_0) = esk1_2(esk19_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_46,plain,
( ~ occurrence_of(X6,X1)
| ~ send_message(X1,X2,X3,X4,X5)
| min_precedes(X4,X6,X5) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_47,negated_conjecture,
send_message(esk15_4(esk19_0,tptp0,esk20_0,esk21_0),esk16_4(esk19_0,tptp0,esk20_0,esk21_0),esk17_4(esk19_0,tptp0,esk20_0,esk21_0),esk20_0,tptp0),
inference(spm,[status(thm)],[c_0_43,c_0_26]) ).
cnf(c_0_48,negated_conjecture,
( ~ occurrence_of(X1,esk19_0)
| occurrence_of(esk18_4(esk19_0,tptp0,esk20_0,X1),esk15_4(esk19_0,tptp0,esk20_0,X1)) ),
inference(spm,[status(thm)],[c_0_44,c_0_23]) ).
cnf(c_0_49,negated_conjecture,
esk18_4(esk19_0,tptp0,esk20_0,esk21_0) = esk1_2(esk19_0,esk21_0),
inference(spm,[status(thm)],[c_0_45,c_0_26]) ).
fof(c_0_50,plain,
! [X158,X159,X160] :
( ( ~ min_precedes(X159,X160,X158)
| subactivity_occurrence(X160,esk3_3(X158,X159,X160)) )
& ( ~ min_precedes(X159,X160,X158)
| subactivity_occurrence(X159,esk3_3(X158,X159,X160)) )
& ( ~ min_precedes(X159,X160,X158)
| occurrence_of(esk3_3(X158,X159,X160),X158) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_06])])])])]) ).
cnf(c_0_51,negated_conjecture,
( ~ occurrence_of(X1,esk15_4(esk19_0,tptp0,esk20_0,esk21_0))
| min_precedes(esk20_0,X1,tptp0) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_52,negated_conjecture,
occurrence_of(esk1_2(esk19_0,esk21_0),esk15_4(esk19_0,tptp0,esk20_0,esk21_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_26]),c_0_49]) ).
cnf(c_0_53,plain,
( ~ min_precedes(X1,X3,X2)
| subactivity_occurrence(X1,esk3_3(X2,X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_54,negated_conjecture,
min_precedes(esk20_0,esk1_2(esk19_0,esk21_0),tptp0),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_55,negated_conjecture,
subactivity_occurrence(esk20_0,esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0))),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_56,plain,
( ~ tptp1(X3,X2,X1)
| root(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_57,plain,
( ~ min_precedes(X2,X3,X1)
| occurrence_of(esk3_3(X1,X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_58,negated_conjecture,
( ~ occurrence_of(esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0)),X1)
| ~ root(esk20_0,X1)
| root_occ(esk20_0,esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0))) ),
inference(spm,[status(thm)],[c_0_28,c_0_55]) ).
cnf(c_0_59,negated_conjecture,
root(esk20_0,tptp0),
inference(spm,[status(thm)],[c_0_56,c_0_23]) ).
cnf(c_0_60,negated_conjecture,
occurrence_of(esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0)),tptp0),
inference(spm,[status(thm)],[c_0_57,c_0_54]) ).
fof(c_0_61,plain,
! [X255] :
( ( ~ occurrence_of(X255,tptp0)
| next_subocc(esk13_1(X255),esk14_1(X255),tptp0) )
& ( ~ occurrence_of(X255,tptp0)
| leaf_occ(esk14_1(X255),X255) )
& ( ~ occurrence_of(X255,tptp0)
| occurrence_of(esk14_1(X255),tptp2)
| occurrence_of(esk14_1(X255),tptp3) )
& ( ~ occurrence_of(X255,tptp0)
| root_occ(esk13_1(X255),X255) )
& ( ~ occurrence_of(X255,tptp0)
| occurrence_of(esk13_1(X255),tptp4) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_32])])])])]) ).
cnf(c_0_62,negated_conjecture,
root_occ(esk20_0,esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60])]) ).
cnf(c_0_63,plain,
( ~ occurrence_of(X1,tptp0)
| root_occ(esk13_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
fof(c_0_64,plain,
! [X199,X200,X202,X203,X204] :
( ( leaf_occ(X202,X203)
| ~ leaf(X202,X204)
| ~ subactivity_occurrence(X202,X203)
| ~ occurrence_of(X203,X204) )
& ( ~ leaf_occ(X199,X200)
| leaf(X199,esk9_2(X199,X200)) )
& ( ~ leaf_occ(X199,X200)
| subactivity_occurrence(X199,X200) )
& ( ~ leaf_occ(X199,X200)
| occurrence_of(X200,esk9_2(X199,X200)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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_18])])])])])])]) ).
cnf(c_0_65,plain,
( ~ occurrence_of(X1,tptp0)
| leaf_occ(esk14_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_66,negated_conjecture,
( ~ occurrence_of(esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0)),X2)
| ~ root_occ(X1,esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0)))
| X1 = esk20_0 ),
inference(spm,[status(thm)],[c_0_36,c_0_62]) ).
cnf(c_0_67,negated_conjecture,
root_occ(esk13_1(esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0))),esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0))),
inference(spm,[status(thm)],[c_0_63,c_0_60]) ).
fof(c_0_68,plain,
! [X176,X177] :
( ( ~ subactivity_occurrence(X176,X177)
| activity_occurrence(X177) )
& ( ~ subactivity_occurrence(X176,X177)
| activity_occurrence(X176) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_11])])])]) ).
cnf(c_0_69,plain,
( ~ leaf_occ(X1,X2)
| subactivity_occurrence(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_70,negated_conjecture,
leaf_occ(esk14_1(esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0))),esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0))),
inference(spm,[status(thm)],[c_0_65,c_0_60]) ).
fof(c_0_71,plain,
! [X4,X5,X6,X7,X8] :
( ( X6 != X8
& min_precedes(X7,X6,X4)
& subactivity_occurrence(X6,X5)
& leaf_occ(X8,X5)
& root_occ(X7,X5)
& occurrence_of(X5,X4) )
=> min_precedes(X6,X8,X4) ),
inference(fof_simplification,[status(thm)],[sos_01]) ).
cnf(c_0_72,negated_conjecture,
( ~ occurrence_of(esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0)),X1)
| esk13_1(esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0))) = esk20_0 ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
fof(c_0_73,plain,
! [X178] :
( ( ~ activity_occurrence(X178)
| occurrence_of(X178,esk5_1(X178)) )
& ( ~ activity_occurrence(X178)
| activity(esk5_1(X178)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_12])])])])]) ).
cnf(c_0_74,plain,
( ~ subactivity_occurrence(X1,X2)
| activity_occurrence(X1) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_75,negated_conjecture,
subactivity_occurrence(esk14_1(esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0))),esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0))),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
fof(c_0_76,plain,
! [X165,X166,X167] :
( X166 = X167
| ~ occurrence_of(X165,X167)
| ~ occurrence_of(X165,X166) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_08])])]) ).
cnf(c_0_77,plain,
( ~ occurrence_of(X1,tptp0)
| occurrence_of(esk14_1(X1),tptp2)
| occurrence_of(esk14_1(X1),tptp3) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
fof(c_0_78,plain,
! [X140,X141,X142,X143,X144] :
( min_precedes(X142,X144,X140)
| X142 = X144
| ~ min_precedes(X143,X142,X140)
| ~ subactivity_occurrence(X142,X141)
| ~ leaf_occ(X144,X141)
| ~ root_occ(X143,X141)
| ~ occurrence_of(X141,X140) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_71])])]) ).
fof(c_0_79,plain,
! [X228,X229,X230,X231,X232,X233,X234] :
( ( next_subocc(X232,X233,X234)
| ~ min_precedes(X232,X233,X234)
| min_precedes(esk12_3(X232,X233,X234),X233,X234) )
& ( next_subocc(X232,X233,X234)
| ~ min_precedes(X232,X233,X234)
| min_precedes(X232,esk12_3(X232,X233,X234),X234) )
& ( ~ next_subocc(X228,X229,X230)
| ~ min_precedes(X231,X229,X230)
| ~ min_precedes(X228,X231,X230) )
& ( ~ next_subocc(X228,X229,X230)
| min_precedes(X228,X229,X230) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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_26])])])])])])]) ).
cnf(c_0_80,plain,
( ~ occurrence_of(X1,tptp0)
| next_subocc(esk13_1(X1),esk14_1(X1),tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_81,negated_conjecture,
esk13_1(esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0))) = esk20_0,
inference(spm,[status(thm)],[c_0_72,c_0_60]) ).
cnf(c_0_82,plain,
( ~ activity_occurrence(X1)
| occurrence_of(X1,esk5_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_83,negated_conjecture,
activity_occurrence(esk14_1(esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0)))),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_84,plain,
( ~ occurrence_of(X1,X3)
| ~ occurrence_of(X1,X2)
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_85,negated_conjecture,
( occurrence_of(esk14_1(esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0))),tptp3)
| occurrence_of(esk14_1(esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0))),tptp2) ),
inference(spm,[status(thm)],[c_0_77,c_0_60]) ).
cnf(c_0_86,plain,
( ~ min_precedes(X3,X5,X2)
| ~ subactivity_occurrence(X5,X1)
| ~ leaf_occ(X4,X1)
| ~ root_occ(X3,X1)
| ~ occurrence_of(X1,X2)
| min_precedes(X5,X4,X2)
| X5 = X4 ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_87,plain,
( ~ min_precedes(X3,X1,X2)
| subactivity_occurrence(X1,esk3_3(X2,X3,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_88,plain,
( ~ next_subocc(X1,X4,X3)
| ~ min_precedes(X2,X4,X3)
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_89,negated_conjecture,
next_subocc(esk20_0,esk14_1(esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0))),tptp0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_60]),c_0_81]) ).
cnf(c_0_90,negated_conjecture,
activity_occurrence(esk1_2(esk19_0,esk21_0)),
inference(spm,[status(thm)],[c_0_74,c_0_29]) ).
cnf(c_0_91,negated_conjecture,
occurrence_of(esk14_1(esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0))),esk5_1(esk14_1(esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0))))),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_92,negated_conjecture,
( ~ occurrence_of(esk14_1(esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0))),X1)
| occurrence_of(esk14_1(esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0))),tptp3)
| X1 = tptp2 ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_93,negated_conjecture,
( ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(esk1_2(esk19_0,esk21_0),X2)
| ~ root_occ(esk20_0,X2)
| ~ leaf_occ(X1,X2)
| min_precedes(esk1_2(esk19_0,esk21_0),X1,tptp0)
| X1 = esk1_2(esk19_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_86,c_0_54]) ).
cnf(c_0_94,negated_conjecture,
subactivity_occurrence(esk1_2(esk19_0,esk21_0),esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0))),
inference(spm,[status(thm)],[c_0_87,c_0_54]) ).
cnf(c_0_95,negated_conjecture,
( ~ min_precedes(esk20_0,X1,tptp0)
| ~ min_precedes(X1,esk14_1(esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0))),tptp0) ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_96,negated_conjecture,
occurrence_of(esk1_2(esk19_0,esk21_0),esk5_1(esk1_2(esk19_0,esk21_0))),
inference(spm,[status(thm)],[c_0_82,c_0_90]) ).
fof(c_0_97,plain,
! [X110,X111,X112,X113,X114] :
( send_message(X110,X111,X112,X113,X114)
=> ( X110 != tptp2
& X110 != tptp3
& X110 != tptp4 ) ),
inference(fof_simplification,[status(thm)],[sos_46]) ).
cnf(c_0_98,negated_conjecture,
( ~ occurrence_of(esk14_1(esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0))),X1)
| X1 = esk5_1(esk14_1(esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0)))) ),
inference(spm,[status(thm)],[c_0_84,c_0_91]) ).
cnf(c_0_99,negated_conjecture,
( occurrence_of(esk14_1(esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0))),tptp3)
| esk5_1(esk14_1(esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0)))) = tptp2 ),
inference(spm,[status(thm)],[c_0_92,c_0_91]) ).
cnf(c_0_100,negated_conjecture,
( ~ leaf_occ(X1,esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0)))
| min_precedes(esk1_2(esk19_0,esk21_0),X1,tptp0)
| X1 = esk1_2(esk19_0,esk21_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_62]),c_0_94]),c_0_60])]) ).
cnf(c_0_101,negated_conjecture,
~ min_precedes(esk1_2(esk19_0,esk21_0),esk14_1(esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0))),tptp0),
inference(spm,[status(thm)],[c_0_95,c_0_54]) ).
cnf(c_0_102,negated_conjecture,
( ~ occurrence_of(esk1_2(esk19_0,esk21_0),X1)
| X1 = esk5_1(esk1_2(esk19_0,esk21_0)) ),
inference(spm,[status(thm)],[c_0_84,c_0_96]) ).
fof(c_0_103,plain,
! [X263,X264,X265,X266,X267] :
( ( ~ send_message(X263,X264,X265,X266,X267)
| X263 != tptp2 )
& ( ~ send_message(X263,X264,X265,X266,X267)
| X263 != tptp3 )
& ( ~ send_message(X263,X264,X265,X266,X267)
| X263 != tptp4 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_97])])])]) ).
cnf(c_0_104,negated_conjecture,
( esk5_1(esk14_1(esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0)))) = tptp3
| esk5_1(esk14_1(esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0)))) = tptp2 ),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_105,negated_conjecture,
esk14_1(esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0))) = esk1_2(esk19_0,esk21_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_70]),c_0_101]) ).
cnf(c_0_106,negated_conjecture,
esk5_1(esk1_2(esk19_0,esk21_0)) = esk15_4(esk19_0,tptp0,esk20_0,esk21_0),
inference(spm,[status(thm)],[c_0_102,c_0_52]) ).
cnf(c_0_107,plain,
( ~ send_message(X1,X2,X3,X4,X5)
| X1 != tptp2 ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_108,negated_conjecture,
( esk15_4(esk19_0,tptp0,esk20_0,esk21_0) = tptp2
| esk15_4(esk19_0,tptp0,esk20_0,esk21_0) = tptp3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_105]),c_0_106]),c_0_105]),c_0_106]) ).
cnf(c_0_109,plain,
~ send_message(tptp2,X1,X2,X3,X4),
inference(er,[status(thm)],[c_0_107]) ).
cnf(c_0_110,plain,
( ~ send_message(X1,X2,X3,X4,X5)
| X1 != tptp3 ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_111,negated_conjecture,
esk15_4(esk19_0,tptp0,esk20_0,esk21_0) = tptp3,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_108]),c_0_109]) ).
cnf(c_0_112,plain,
~ send_message(tptp3,X1,X2,X3,X4),
inference(er,[status(thm)],[c_0_110]) ).
cnf(c_0_113,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_111]),c_0_112]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : PRO002+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.45 % Computer : n011.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Mon Sep 21 03:40:25 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.45 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.52 Running first-order theorem proving
% 0.23/0.52 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.48/0.74 % Version: 3.5.1
% 1.48/0.74 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.48/0.74 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.48/0.74 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.48/0.74 % Starting new_bool_3 with 300s (1) cores
% 1.48/0.74 % Starting new_bool_1 with 300s (1) cores
% 1.48/0.74 % Starting sh5l with 300s (1) cores
% 1.48/0.74 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 889544 completed with status 0
% 1.48/0.74 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 1.48/0.74 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.48/0.74 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.48/0.74 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.48/0.74 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.48/0.74 % No SInE strategy applied
% 1.48/0.74 % Search class: FGHSF-FFMM32-SFFFFFNN
% 1.48/0.74 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.48/0.74 % Starting SubtermCWHack with 136s (1) cores
% 1.48/0.74 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1.48/0.74 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI with 136s (1) cores
% 1.48/0.74 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 136s (1) cores
% 1.48/0.74 % Starting G-E--_107_C48_F1_PI_AE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 1.48/0.74 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI with pid 889553 completed with status 0
% 1.48/0.74 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI
% 1.48/0.74 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.48/0.74 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.48/0.74 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.48/0.74 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.48/0.74 % No SInE strategy applied
% 1.48/0.74 % Search class: FGHSF-FFMM32-SFFFFFNN
% 1.48/0.74 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.48/0.74 % Starting SubtermCWHack with 136s (1) cores
% 1.48/0.74 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1.48/0.74 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI with 136s (1) cores
% 1.48/0.74 % Preprocessing time : 0.002 s
% 1.48/0.74 % Presaturation interreduction done
% 1.48/0.74
% 1.48/0.74 % Proof found!
% 1.48/0.74 % SZS status Theorem
% 1.48/0.74 % SZS output start CNFRefutation
% See solution above
% 1.48/0.74 % Parsed axioms : 52
% 1.48/0.74 % Removed by relevancy pruning/SinE : 0
% 1.48/0.74 % Initial clauses : 95
% 1.48/0.74 % Removed in clause preprocessing : 0
% 1.48/0.74 % Initial clauses in saturation : 95
% 1.48/0.74 % Processed clauses : 1800
% 1.48/0.74 % ...of these trivial : 31
% 1.48/0.74 % ...subsumed : 266
% 1.48/0.74 % ...remaining for further processing : 1503
% 1.48/0.74 % Other redundant clauses eliminated : 3
% 1.48/0.74 % Clauses deleted for lack of memory : 0
% 1.48/0.74 % Backward-subsumed : 141
% 1.48/0.74 % Backward-rewritten : 366
% 1.48/0.74 % Generated clauses : 3446
% 1.48/0.74 % ...of the previous two non-redundant : 3171
% 1.48/0.74 % ...aggressively subsumed : 0
% 1.48/0.74 % Contextual simplify-reflections : 13
% 1.48/0.74 % Paramodulations : 3438
% 1.48/0.74 % Factorizations : 4
% 1.48/0.74 % NegExts : 0
% 1.48/0.74 % Equation resolutions : 3
% 1.48/0.74 % Disequality decompositions : 0
% 1.48/0.74 % Total rewrite steps : 1136
% 1.48/0.74 % ...of those cached : 950
% 1.48/0.74 % Propositional unsat checks : 0
% 1.48/0.74 % Propositional check models : 0
% 1.48/0.74 % Propositional check unsatisfiable : 0
% 1.48/0.74 % Propositional clauses : 0
% 1.48/0.74 % Propositional clauses after purity: 0
% 1.48/0.74 % Propositional unsat core size : 0
% 1.48/0.74 % Propositional preprocessing time : 0.000
% 1.48/0.74 % Propositional encoding time : 0.000
% 1.48/0.74 % Propositional solver time : 0.000
% 1.48/0.74 % Success case prop preproc time : 0.000
% 1.48/0.74 % Success case prop encoding time : 0.000
% 1.48/0.74 % Success case prop solver time : 0.000
% 1.48/0.74 % Current number of processed clauses : 897
% 1.48/0.74 % Positive orientable unit clauses : 278
% 1.48/0.74 % Positive unorientable unit clauses: 0
% 1.48/0.74 % Negative unit clauses : 211
% 1.48/0.74 % Non-unit-clauses : 408
% 1.48/0.74 % Current number of unprocessed clauses: 1296
% 1.48/0.74 % ...number of literals in the above : 3388
% 1.48/0.74 % Current number of archived formulas : 0
% 1.48/0.74 % Current number of archived clauses : 603
% 1.48/0.74 % Clause-clause subsumption calls (NU) : 68954
% 1.48/0.74 % Rec. Clause-clause subsumption calls : 46848
% 1.48/0.74 % Non-unit clause-clause subsumptions : 213
% 1.48/0.74 % Unit Clause-clause subsumption calls : 14157
% 1.48/0.74 % Rewrite failures with RHS unbound : 0
% 1.48/0.74 % BW rewrite match attempts : 389
% 1.48/0.74 % BW rewrite match successes : 69
% 1.48/0.74 % Condensation attempts : 0
% 1.48/0.74 % Condensation successes : 0
% 1.48/0.74 % Termbank termtop insertions : 95254
% 1.48/0.74 % Search garbage collected termcells : 1437
% 1.48/0.74
% 1.48/0.74 % -------------------------------------------------
% 1.48/0.74 % User time : 0.175 s
% 1.48/0.74 % System time : 0.014 s
% 1.48/0.74 % Total time : 0.189 s
% 1.48/0.74 % Maximum resident set size: 3976 pages
% 1.48/0.74
% 1.48/0.74 % -------------------------------------------------
% 1.48/0.74 % User time : 0.861 s
% 1.48/0.74 % System time : 0.058 s
% 1.48/0.74 % Total time : 0.919 s
% 1.48/0.74 % Maximum resident set size: 4864 pages
% 1.48/0.74 % E exiting
%------------------------------------------------------------------------------