%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : PRO004+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 0.14s 5.65s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 19
% Syntax : Number of formulae : 109 ( 43 unt; 0 def)
% Number of atoms : 314 ( 21 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 341 ( 136 ~; 126 |; 59 &)
% ( 3 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-3 aty)
% Number of variables : 173 ( 5 sgn 93 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(sos_27,axiom,
! [X77,X78] :
( ( ~ atomic(X77)
& occurrence_of(X78,X77) )
=> ? [X79] :
( subactivity_occurrence(X79,X78)
& root(X79,X77) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_27) ).
fof(goals,conjecture,
~ ? [X172] : occurrence_of(X172,tptp0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(sos_51,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_51) ).
fof(sos_33,axiom,
! [X100,X101] :
( root_occ(X100,X101)
<=> ? [X102] :
( root(X100,X102)
& subactivity_occurrence(X100,X101)
& occurrence_of(X101,X102) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_33) ).
fof(sos_35,axiom,
! [X106,X107,X108,X109] :
( ( root_occ(X107,X108)
& root_occ(X106,X108)
& occurrence_of(X108,X109) )
=> X106 = X107 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_35) ).
fof(sos_49,axiom,
! [X162] :
( occurrence_of(X162,tptp0)
=> ? [X163,X164] :
( next_subocc(X163,X164,tptp0)
& leaf_occ(X164,X162)
& occurrence_of(X164,tptp3)
& root_occ(X163,X162)
& occurrence_of(X163,tptp4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_49) ).
fof(sos_26,axiom,
! [X74,X75] :
( ( ~ atomic(X74)
& root(X75,X74) )
=> ? [X76] :
( subactivity_occurrence(X75,X76)
& occurrence_of(X76,X74) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_26) ).
fof(sos_22,axiom,
! [X61,X62,X63] :
( next_subocc(X61,X62,X63)
<=> ( ~ ? [X64] :
( min_precedes(X64,X62,X63)
& min_precedes(X61,X64,X63) )
& min_precedes(X61,X62,X63) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_22) ).
fof(sos_64,axiom,
! [X169,X170] :
( ( ~ leaf_occ(X169,X170)
& arboreal(X169)
& subactivity_occurrence(X169,X170)
& occurrence_of(X170,tptp0) )
=> ? [X171] :
( next_subocc(X169,X171,tptp0)
& occurrence_of(X171,tptp1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_64) ).
fof(sos_37,axiom,
! [X114,X115,X116] :
( ( leaf_occ(X115,X114)
& occurrence_of(X114,X116) )
=> ~ ? [X117] : min_precedes(X115,X117,X116) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_37) ).
fof(sos_07,axiom,
! [X17,X18] :
( occurrence_of(X17,X18)
=> ( arboreal(X17)
<=> atomic(X18) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_07) ).
fof(sos_52,axiom,
atomic(tptp4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_52) ).
fof(sos_62,axiom,
! [X165,X166] :
( ( ~ leaf_occ(X165,X166)
& arboreal(X165)
& subactivity_occurrence(X165,X166)
& occurrence_of(X166,tptp0) )
=> root_occ(X165,X166) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_62) ).
fof(sos_25,axiom,
! [X70,X71,X72] :
( min_precedes(X71,X72,X70)
=> ? [X73] :
( subactivity_occurrence(X72,X73)
& subactivity_occurrence(X71,X73)
& occurrence_of(X73,X70) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_25) ).
fof(sos_38,axiom,
! [X118,X119,X120] :
( ( root_occ(X119,X118)
& occurrence_of(X118,X120) )
=> ~ ? [X121] : min_precedes(X121,X119,X120) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_38) ).
fof(sos_36,axiom,
! [X110,X111,X112,X113] :
( ( leaf_occ(X111,X112)
& leaf_occ(X110,X112)
& ~ atomic(X113)
& occurrence_of(X112,X113) )
=> X110 = X111 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_36) ).
fof(sos_55,axiom,
atomic(tptp1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_55) ).
fof(sos_02,axiom,
! [X5,X6,X7] :
( ( occurrence_of(X5,X7)
& occurrence_of(X5,X6) )
=> X6 = X7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02) ).
fof(sos_59,axiom,
tptp1 != tptp3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_59) ).
fof(c_0_19,plain,
! [X77,X78] :
( ( ~ atomic(X77)
& occurrence_of(X78,X77) )
=> ? [X79] :
( subactivity_occurrence(X79,X78)
& root(X79,X77) ) ),
inference(fof_simplification,[status(thm)],[sos_27]) ).
fof(c_0_20,negated_conjecture,
~ ~ ? [X172] : occurrence_of(X172,tptp0),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_21,plain,
~ atomic(tptp0),
inference(fof_simplification,[status(thm)],[sos_51]) ).
fof(c_0_22,plain,
! [X260,X261] :
( ( atomic(X260)
| ~ occurrence_of(X261,X260)
| subactivity_occurrence(esk12_2(X260,X261),X261) )
& ( atomic(X260)
| ~ occurrence_of(X261,X260)
| root(esk12_2(X260,X261),X260) ) ),
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_19])])])])]) ).
fof(c_0_23,negated_conjecture,
occurrence_of(esk20_0,tptp0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])]) ).
fof(c_0_24,plain,
~ atomic(tptp0),
inference(fof_nnf,[status(thm)],[c_0_21]) ).
fof(c_0_25,plain,
! [X283,X284,X286,X287,X288] :
( ( root_occ(X286,X287)
| ~ root(X286,X288)
| ~ subactivity_occurrence(X286,X287)
| ~ occurrence_of(X287,X288) )
& ( ~ root_occ(X283,X284)
| root(X283,esk14_2(X283,X284)) )
& ( ~ root_occ(X283,X284)
| subactivity_occurrence(X283,X284) )
& ( ~ root_occ(X283,X284)
| occurrence_of(X284,esk14_2(X283,X284)) ) ),
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_33])])])])])])]) ).
cnf(c_0_26,plain,
( ~ occurrence_of(X2,X1)
| atomic(X1)
| subactivity_occurrence(esk12_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_27,negated_conjecture,
occurrence_of(esk20_0,tptp0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_28,plain,
~ atomic(tptp0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_29,plain,
( ~ root(X3,X2)
| ~ subactivity_occurrence(X3,X1)
| ~ occurrence_of(X1,X2)
| root_occ(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_30,negated_conjecture,
subactivity_occurrence(esk12_2(tptp0,esk20_0),esk20_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]) ).
cnf(c_0_31,plain,
( ~ occurrence_of(X2,X1)
| atomic(X1)
| root(esk12_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_32,plain,
! [X295,X296,X297,X298] :
( X295 = X296
| ~ root_occ(X296,X297)
| ~ root_occ(X295,X297)
| ~ occurrence_of(X297,X298) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_35])])]) ).
cnf(c_0_33,negated_conjecture,
( ~ occurrence_of(esk20_0,X1)
| ~ root(esk12_2(tptp0,esk20_0),X1)
| root_occ(esk12_2(tptp0,esk20_0),esk20_0) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_34,negated_conjecture,
root(esk12_2(tptp0,esk20_0),tptp0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_27]),c_0_28]) ).
fof(c_0_35,plain,
! [X351] :
( ( ~ occurrence_of(X351,tptp0)
| next_subocc(esk17_1(X351),esk18_1(X351),tptp0) )
& ( ~ occurrence_of(X351,tptp0)
| leaf_occ(esk18_1(X351),X351) )
& ( ~ occurrence_of(X351,tptp0)
| occurrence_of(esk18_1(X351),tptp3) )
& ( ~ occurrence_of(X351,tptp0)
| root_occ(esk17_1(X351),X351) )
& ( ~ occurrence_of(X351,tptp0)
| occurrence_of(esk17_1(X351),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_49])])])])]) ).
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(esk12_2(tptp0,esk20_0),esk20_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_27]),c_0_34])]) ).
cnf(c_0_38,plain,
( ~ occurrence_of(X1,tptp0)
| root_occ(esk17_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_39,plain,
! [X74,X75] :
( ( ~ atomic(X74)
& root(X75,X74) )
=> ? [X76] :
( subactivity_occurrence(X75,X76)
& occurrence_of(X76,X74) ) ),
inference(fof_simplification,[status(thm)],[sos_26]) ).
cnf(c_0_40,negated_conjecture,
( ~ occurrence_of(esk20_0,X2)
| ~ root_occ(X1,esk20_0)
| X1 = esk12_2(tptp0,esk20_0) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_41,negated_conjecture,
root_occ(esk17_1(esk20_0),esk20_0),
inference(spm,[status(thm)],[c_0_38,c_0_27]) ).
fof(c_0_42,plain,
! [X237,X238,X239,X240,X241,X242,X243] :
( ( next_subocc(X241,X242,X243)
| ~ min_precedes(X241,X242,X243)
| min_precedes(esk8_3(X241,X242,X243),X242,X243) )
& ( next_subocc(X241,X242,X243)
| ~ min_precedes(X241,X242,X243)
| min_precedes(X241,esk8_3(X241,X242,X243),X243) )
& ( ~ next_subocc(X237,X238,X239)
| ~ min_precedes(X240,X238,X239)
| ~ min_precedes(X237,X240,X239) )
& ( ~ next_subocc(X237,X238,X239)
| min_precedes(X237,X238,X239) ) ),
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_22])])])])])])]) ).
cnf(c_0_43,plain,
( ~ occurrence_of(X1,tptp0)
| next_subocc(esk17_1(X1),esk18_1(X1),tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_44,plain,
! [X257,X258] :
( ( atomic(X257)
| ~ root(X258,X257)
| subactivity_occurrence(X258,esk11_2(X257,X258)) )
& ( atomic(X257)
| ~ root(X258,X257)
| occurrence_of(esk11_2(X257,X258),X257) ) ),
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_39])])])])]) ).
fof(c_0_45,plain,
! [X169,X170] :
( ( ~ leaf_occ(X169,X170)
& arboreal(X169)
& subactivity_occurrence(X169,X170)
& occurrence_of(X170,tptp0) )
=> ? [X171] :
( next_subocc(X169,X171,tptp0)
& occurrence_of(X171,tptp1) ) ),
inference(fof_simplification,[status(thm)],[sos_64]) ).
cnf(c_0_46,negated_conjecture,
( ~ occurrence_of(esk20_0,X1)
| esk12_2(tptp0,esk20_0) = esk17_1(esk20_0) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
fof(c_0_47,plain,
! [X303,X304,X305,X306] :
( ~ min_precedes(X304,X306,X305)
| ~ leaf_occ(X304,X303)
| ~ occurrence_of(X303,X305) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_37])])])]) ).
cnf(c_0_48,plain,
( ~ next_subocc(X1,X2,X3)
| min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_49,negated_conjecture,
next_subocc(esk17_1(esk20_0),esk18_1(esk20_0),tptp0),
inference(spm,[status(thm)],[c_0_43,c_0_27]) ).
cnf(c_0_50,plain,
( ~ root(X2,X1)
| atomic(X1)
| occurrence_of(esk11_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
fof(c_0_51,plain,
! [X358,X359] :
( ( leaf_occ(X358,X359)
| ~ arboreal(X358)
| ~ subactivity_occurrence(X358,X359)
| ~ occurrence_of(X359,tptp0)
| next_subocc(X358,esk19_1(X358),tptp0) )
& ( leaf_occ(X358,X359)
| ~ arboreal(X358)
| ~ subactivity_occurrence(X358,X359)
| ~ occurrence_of(X359,tptp0)
| occurrence_of(esk19_1(X358),tptp1) ) ),
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)],[c_0_45])])])])])])]) ).
cnf(c_0_52,negated_conjecture,
esk12_2(tptp0,esk20_0) = esk17_1(esk20_0),
inference(spm,[status(thm)],[c_0_46,c_0_27]) ).
fof(c_0_53,plain,
! [X189,X190] :
( ( ~ occurrence_of(X189,X190)
| arboreal(X189)
| ~ atomic(X190) )
& ( ~ occurrence_of(X189,X190)
| atomic(X190)
| ~ arboreal(X189) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_07])])])]) ).
cnf(c_0_54,plain,
( ~ occurrence_of(X1,tptp0)
| occurrence_of(esk17_1(X1),tptp4) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_55,plain,
( ~ min_precedes(X3,X4,X2)
| ~ leaf_occ(X3,X1)
| ~ occurrence_of(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_56,negated_conjecture,
min_precedes(esk17_1(esk20_0),esk18_1(esk20_0),tptp0),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_57,negated_conjecture,
occurrence_of(esk11_2(tptp0,esk12_2(tptp0,esk20_0)),tptp0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_34]),c_0_28]) ).
cnf(c_0_58,plain,
( ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X2)
| ~ occurrence_of(X2,tptp0)
| leaf_occ(X1,X2)
| next_subocc(X1,esk19_1(X1),tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_59,plain,
( ~ root(X1,X2)
| atomic(X2)
| subactivity_occurrence(X1,esk11_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_60,negated_conjecture,
root(esk17_1(esk20_0),tptp0),
inference(rw,[status(thm)],[c_0_34,c_0_52]) ).
cnf(c_0_61,plain,
( ~ occurrence_of(X2,X1)
| ~ atomic(X1)
| arboreal(X2) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_62,negated_conjecture,
occurrence_of(esk17_1(esk20_0),tptp4),
inference(spm,[status(thm)],[c_0_54,c_0_27]) ).
cnf(c_0_63,plain,
atomic(tptp4),
inference(split_conjunct,[status(thm)],[sos_52]) ).
cnf(c_0_64,negated_conjecture,
( ~ occurrence_of(X1,tptp0)
| ~ leaf_occ(esk17_1(esk20_0),X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_65,negated_conjecture,
occurrence_of(esk11_2(tptp0,esk17_1(esk20_0)),tptp0),
inference(spm,[status(thm)],[c_0_57,c_0_52]) ).
cnf(c_0_66,negated_conjecture,
( ~ arboreal(X1)
| ~ subactivity_occurrence(X1,esk11_2(tptp0,esk17_1(esk20_0)))
| next_subocc(X1,esk19_1(X1),tptp0)
| leaf_occ(X1,esk11_2(tptp0,esk17_1(esk20_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_57]),c_0_52]),c_0_52]) ).
cnf(c_0_67,negated_conjecture,
subactivity_occurrence(esk17_1(esk20_0),esk11_2(tptp0,esk17_1(esk20_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_28]) ).
cnf(c_0_68,negated_conjecture,
arboreal(esk17_1(esk20_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63])]) ).
cnf(c_0_69,negated_conjecture,
~ leaf_occ(esk17_1(esk20_0),esk11_2(tptp0,esk17_1(esk20_0))),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
fof(c_0_70,plain,
! [X165,X166] :
( ( ~ leaf_occ(X165,X166)
& arboreal(X165)
& subactivity_occurrence(X165,X166)
& occurrence_of(X166,tptp0) )
=> root_occ(X165,X166) ),
inference(fof_simplification,[status(thm)],[sos_62]) ).
fof(c_0_71,plain,
! [X253,X254,X255] :
( ( ~ min_precedes(X254,X255,X253)
| subactivity_occurrence(X255,esk10_3(X253,X254,X255)) )
& ( ~ min_precedes(X254,X255,X253)
| subactivity_occurrence(X254,esk10_3(X253,X254,X255)) )
& ( ~ min_precedes(X254,X255,X253)
| occurrence_of(esk10_3(X253,X254,X255),X253) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_25])])])])]) ).
cnf(c_0_72,negated_conjecture,
next_subocc(esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)),tptp0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68])]),c_0_69]) ).
cnf(c_0_73,plain,
( ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X2)
| ~ occurrence_of(X2,tptp0)
| leaf_occ(X1,X2)
| occurrence_of(esk19_1(X1),tptp1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
fof(c_0_74,plain,
! [X307,X308,X309,X310] :
( ~ min_precedes(X310,X308,X309)
| ~ root_occ(X308,X307)
| ~ occurrence_of(X307,X309) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_38])])])]) ).
fof(c_0_75,plain,
! [X354,X355] :
( root_occ(X354,X355)
| leaf_occ(X354,X355)
| ~ arboreal(X354)
| ~ subactivity_occurrence(X354,X355)
| ~ occurrence_of(X355,tptp0) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_70])])]) ).
cnf(c_0_76,plain,
( ~ min_precedes(X2,X3,X1)
| occurrence_of(esk10_3(X1,X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_77,negated_conjecture,
min_precedes(esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)),tptp0),
inference(spm,[status(thm)],[c_0_48,c_0_72]) ).
cnf(c_0_78,negated_conjecture,
( ~ arboreal(X1)
| ~ subactivity_occurrence(X1,esk11_2(tptp0,esk17_1(esk20_0)))
| occurrence_of(esk19_1(X1),tptp1)
| leaf_occ(X1,esk11_2(tptp0,esk17_1(esk20_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_57]),c_0_52]),c_0_52]) ).
cnf(c_0_79,plain,
( ~ min_precedes(X4,X3,X2)
| ~ root_occ(X3,X1)
| ~ occurrence_of(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
fof(c_0_80,plain,
! [X110,X111,X112,X113] :
( ( leaf_occ(X111,X112)
& leaf_occ(X110,X112)
& ~ atomic(X113)
& occurrence_of(X112,X113) )
=> X110 = X111 ),
inference(fof_simplification,[status(thm)],[sos_36]) ).
cnf(c_0_81,plain,
( ~ arboreal(X2)
| ~ subactivity_occurrence(X2,X1)
| ~ occurrence_of(X1,tptp0)
| root_occ(X2,X1)
| leaf_occ(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_82,negated_conjecture,
occurrence_of(esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0))),tptp0),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_83,plain,
( ~ min_precedes(X3,X1,X2)
| subactivity_occurrence(X1,esk10_3(X2,X3,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_84,negated_conjecture,
occurrence_of(esk19_1(esk17_1(esk20_0)),tptp1),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_67]),c_0_68])]),c_0_69]) ).
cnf(c_0_85,plain,
atomic(tptp1),
inference(split_conjunct,[status(thm)],[sos_55]) ).
cnf(c_0_86,negated_conjecture,
( ~ occurrence_of(X1,tptp0)
| ~ root_occ(esk19_1(esk17_1(esk20_0)),X1) ),
inference(spm,[status(thm)],[c_0_79,c_0_77]) ).
fof(c_0_87,plain,
! [X299,X300,X301,X302] :
( X299 = X300
| ~ leaf_occ(X300,X301)
| ~ leaf_occ(X299,X301)
| atomic(X302)
| ~ occurrence_of(X301,X302) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_80])])]) ).
cnf(c_0_88,negated_conjecture,
( ~ arboreal(X1)
| ~ subactivity_occurrence(X1,esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0))))
| root_occ(X1,esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0))))
| leaf_occ(X1,esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)))) ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_89,negated_conjecture,
subactivity_occurrence(esk19_1(esk17_1(esk20_0)),esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)))),
inference(spm,[status(thm)],[c_0_83,c_0_77]) ).
cnf(c_0_90,negated_conjecture,
arboreal(esk19_1(esk17_1(esk20_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_84]),c_0_85])]) ).
cnf(c_0_91,negated_conjecture,
~ root_occ(esk19_1(esk17_1(esk20_0)),esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)))),
inference(spm,[status(thm)],[c_0_86,c_0_82]) ).
cnf(c_0_92,plain,
( ~ leaf_occ(X4,X1)
| ~ leaf_occ(X3,X1)
| ~ occurrence_of(X1,X2)
| X3 = X4
| atomic(X2) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_93,negated_conjecture,
leaf_occ(esk19_1(esk17_1(esk20_0)),esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90])]),c_0_91]) ).
cnf(c_0_94,plain,
( ~ occurrence_of(X1,tptp0)
| leaf_occ(esk18_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_95,negated_conjecture,
( ~ occurrence_of(esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0))),X2)
| ~ leaf_occ(X1,esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0))))
| atomic(X2)
| X1 = esk19_1(esk17_1(esk20_0)) ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_96,negated_conjecture,
leaf_occ(esk18_1(esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)))),esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)))),
inference(spm,[status(thm)],[c_0_94,c_0_82]) ).
fof(c_0_97,plain,
! [X177,X178,X179] :
( X178 = X179
| ~ occurrence_of(X177,X179)
| ~ occurrence_of(X177,X178) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_02])])]) ).
cnf(c_0_98,plain,
( ~ occurrence_of(X1,tptp0)
| occurrence_of(esk18_1(X1),tptp3) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_99,negated_conjecture,
( ~ occurrence_of(esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0))),X1)
| atomic(X1)
| esk18_1(esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)))) = esk19_1(esk17_1(esk20_0)) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
fof(c_0_100,plain,
tptp1 != tptp3,
inference(fof_simplification,[status(thm)],[sos_59]) ).
cnf(c_0_101,plain,
( ~ occurrence_of(X1,X3)
| ~ occurrence_of(X1,X2)
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_102,negated_conjecture,
occurrence_of(esk18_1(esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)))),tptp3),
inference(spm,[status(thm)],[c_0_98,c_0_82]) ).
cnf(c_0_103,negated_conjecture,
esk18_1(esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)))) = esk19_1(esk17_1(esk20_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_82]),c_0_28]) ).
fof(c_0_104,plain,
tptp1 != tptp3,
inference(fof_nnf,[status(thm)],[c_0_100]) ).
cnf(c_0_105,negated_conjecture,
( ~ occurrence_of(esk19_1(esk17_1(esk20_0)),X1)
| X1 = tptp1 ),
inference(spm,[status(thm)],[c_0_101,c_0_84]) ).
cnf(c_0_106,negated_conjecture,
occurrence_of(esk19_1(esk17_1(esk20_0)),tptp3),
inference(rw,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_107,plain,
tptp1 != tptp3,
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_108,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_107]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PRO004+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/5.37 % Computer : n020.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Mon Sep 21 03:41:53 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/5.42 Running first-order theorem proving
% 0.14/5.42 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.14/5.65 % Version: 3.5.1
% 0.14/5.65 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.14/5.65 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.65 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.14/5.65 % Starting new_bool_3 with 300s (1) cores
% 0.14/5.65 % Starting new_bool_1 with 300s (1) cores
% 0.14/5.65 % Starting sh5l with 300s (1) cores
% 0.14/5.65 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1918757 completed with status 0
% 0.14/5.65 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.14/5.65 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.14/5.65 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.65 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.14/5.65 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/5.65 % No SInE strategy applied
% 0.14/5.65 % Search class: FGHSF-FFMM32-SFFFFFNN
% 0.14/5.65 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/5.65 % Starting SubtermCWHack with 136s (1) cores
% 0.14/5.65 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.14/5.65 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI with 136s (1) cores
% 0.14/5.65 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 136s (1) cores
% 0.14/5.65 % Starting G-E--_107_C48_F1_PI_AE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 0.14/5.65 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI with pid 1918765 completed with status 0
% 0.14/5.65 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI
% 0.14/5.65 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.14/5.65 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.65 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.14/5.65 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/5.65 % No SInE strategy applied
% 0.14/5.65 % Search class: FGHSF-FFMM32-SFFFFFNN
% 0.14/5.65 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/5.65 % Starting SubtermCWHack with 136s (1) cores
% 0.14/5.65 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.14/5.65 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI with 136s (1) cores
% 0.14/5.65 % Preprocessing time : 0.003 s
% 0.14/5.65 % Presaturation interreduction done
% 0.14/5.65
% 0.14/5.65 % Proof found!
% 0.14/5.65 % SZS status Theorem
% 0.14/5.65 % SZS output start CNFRefutation
% See solution above
% 0.14/5.65 % Parsed axioms : 66
% 0.14/5.65 % Removed by relevancy pruning/SinE : 0
% 0.14/5.65 % Initial clauses : 104
% 0.14/5.65 % Removed in clause preprocessing : 0
% 0.14/5.65 % Initial clauses in saturation : 104
% 0.14/5.65 % Processed clauses : 2020
% 0.14/5.65 % ...of these trivial : 76
% 0.14/5.65 % ...subsumed : 355
% 0.14/5.65 % ...remaining for further processing : 1589
% 0.14/5.65 % Other redundant clauses eliminated : 0
% 0.14/5.65 % Clauses deleted for lack of memory : 0
% 0.14/5.65 % Backward-subsumed : 3
% 0.14/5.65 % Backward-rewritten : 335
% 0.14/5.65 % Generated clauses : 4393
% 0.14/5.65 % ...of the previous two non-redundant : 3922
% 0.14/5.65 % ...aggressively subsumed : 0
% 0.14/5.65 % Contextual simplify-reflections : 3
% 0.14/5.65 % Paramodulations : 4393
% 0.14/5.65 % Factorizations : 0
% 0.14/5.65 % NegExts : 0
% 0.14/5.65 % Equation resolutions : 0
% 0.14/5.65 % Disequality decompositions : 0
% 0.14/5.65 % Total rewrite steps : 2030
% 0.14/5.66 % ...of those cached : 1804
% 0.14/5.66 % Propositional unsat checks : 0
% 0.14/5.66 % Propositional check models : 0
% 0.14/5.66 % Propositional check unsatisfiable : 0
% 0.14/5.66 % Propositional clauses : 0
% 0.14/5.66 % Propositional clauses after purity: 0
% 0.14/5.66 % Propositional unsat core size : 0
% 0.14/5.66 % Propositional preprocessing time : 0.000
% 0.14/5.66 % Propositional encoding time : 0.000
% 0.14/5.66 % Propositional solver time : 0.000
% 0.14/5.66 % Success case prop preproc time : 0.000
% 0.14/5.66 % Success case prop encoding time : 0.000
% 0.14/5.66 % Success case prop solver time : 0.000
% 0.14/5.66 % Current number of processed clauses : 1148
% 0.14/5.66 % Positive orientable unit clauses : 450
% 0.14/5.66 % Positive unorientable unit clauses: 0
% 0.14/5.66 % Negative unit clauses : 284
% 0.14/5.66 % Non-unit-clauses : 414
% 0.14/5.66 % Current number of unprocessed clauses: 1832
% 0.14/5.66 % ...number of literals in the above : 4408
% 0.14/5.66 % Current number of archived formulas : 0
% 0.14/5.66 % Current number of archived clauses : 441
% 0.14/5.66 % Clause-clause subsumption calls (NU) : 40030
% 0.14/5.66 % Rec. Clause-clause subsumption calls : 21974
% 0.14/5.66 % Non-unit clause-clause subsumptions : 128
% 0.14/5.66 % Unit Clause-clause subsumption calls : 9505
% 0.14/5.66 % Rewrite failures with RHS unbound : 0
% 0.14/5.66 % BW rewrite match attempts : 675
% 0.14/5.66 % BW rewrite match successes : 51
% 0.14/5.66 % Condensation attempts : 0
% 0.14/5.66 % Condensation successes : 0
% 0.14/5.66 % Termbank termtop insertions : 121224
% 0.14/5.66 % Search garbage collected termcells : 1888
% 0.14/5.66
% 0.14/5.66 % -------------------------------------------------
% 0.14/5.66 % User time : 0.197 s
% 0.14/5.66 % System time : 0.017 s
% 0.14/5.66 % Total time : 0.214 s
% 0.14/5.66 % Maximum resident set size: 4052 pages
% 0.14/5.66
% 0.14/5.66 % -------------------------------------------------
% 0.14/5.66 % User time : 0.990 s
% 0.14/5.66 % System time : 0.063 s
% 0.14/5.66 % Total time : 1.052 s
% 0.14/5.66 % Maximum resident set size: 5120 pages
% 0.14/5.66 % E exiting
%------------------------------------------------------------------------------