%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : PRO005+3 : 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 : n007.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 01:59:30 PM UTC 2026
% Result : Theorem 1.93s 0.72s
% Output : CNFRefutation 1.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 17
% Syntax : Number of formulae : 91 ( 39 unt; 0 def)
% Number of atoms : 255 ( 19 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 279 ( 115 ~; 102 |; 47 &)
% ( 3 <=>; 12 =>; 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 : 12 ( 12 usr; 6 con; 0-3 aty)
% Number of variables : 132 ( 2 sgn 73 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goals,conjecture,
~ ? [X170] : occurrence_of(X170,tptp0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(sos_49,axiom,
! [X162] :
( occurrence_of(X162,tptp0)
=> ? [X163,X164] :
( next_subocc(X163,X164,tptp0)
& leaf_occ(X164,X162)
& ( occurrence_of(X164,tptp2)
| occurrence_of(X164,tptp3) )
& root_occ(X163,X162)
& occurrence_of(X163,tptp4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_49) ).
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/sandbox2/benchmark/theBenchmark.p',sos_22) ).
fof(sos_63,axiom,
! [X167,X168] :
( ( ~ leaf_occ(X167,X168)
& arboreal(X167)
& subactivity_occurrence(X167,X168)
& occurrence_of(X168,tptp0) )
=> ? [X169] :
( next_subocc(X167,X169,tptp0)
& occurrence_of(X169,tptp1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_63) ).
fof(sos_37,axiom,
! [X114,X115,X116] :
( ( leaf_occ(X115,X114)
& occurrence_of(X114,X116) )
=> ~ ? [X117] : min_precedes(X115,X117,X116) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_37) ).
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/sandbox2/benchmark/theBenchmark.p',sos_33) ).
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_52,axiom,
atomic(tptp4),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',sos_36) ).
fof(sos_55,axiom,
atomic(tptp1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_55) ).
fof(sos_51,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_51) ).
fof(sos_02,axiom,
! [X5,X6,X7] :
( ( occurrence_of(X5,X7)
& occurrence_of(X5,X6) )
=> X6 = X7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).
fof(sos_60,axiom,
tptp1 != tptp2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_60) ).
fof(sos_59,axiom,
tptp1 != tptp3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_59) ).
fof(c_0_17,negated_conjecture,
~ ~ ? [X170] : occurrence_of(X170,tptp0),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_18,plain,
! [X349] :
( ( ~ occurrence_of(X349,tptp0)
| next_subocc(esk17_1(X349),esk18_1(X349),tptp0) )
& ( ~ occurrence_of(X349,tptp0)
| leaf_occ(esk18_1(X349),X349) )
& ( ~ occurrence_of(X349,tptp0)
| occurrence_of(esk18_1(X349),tptp2)
| occurrence_of(esk18_1(X349),tptp3) )
& ( ~ occurrence_of(X349,tptp0)
| root_occ(esk17_1(X349),X349) )
& ( ~ occurrence_of(X349,tptp0)
| occurrence_of(esk17_1(X349),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])])])])]) ).
fof(c_0_19,negated_conjecture,
occurrence_of(esk20_0,tptp0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])]) ).
fof(c_0_20,plain,
! [X235,X236,X237,X238,X239,X240,X241] :
( ( next_subocc(X239,X240,X241)
| ~ min_precedes(X239,X240,X241)
| min_precedes(esk8_3(X239,X240,X241),X240,X241) )
& ( next_subocc(X239,X240,X241)
| ~ min_precedes(X239,X240,X241)
| min_precedes(X239,esk8_3(X239,X240,X241),X241) )
& ( ~ next_subocc(X235,X236,X237)
| ~ min_precedes(X238,X236,X237)
| ~ min_precedes(X235,X238,X237) )
& ( ~ next_subocc(X235,X236,X237)
| min_precedes(X235,X236,X237) ) ),
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_21,plain,
( ~ occurrence_of(X1,tptp0)
| next_subocc(esk17_1(X1),esk18_1(X1),tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_22,negated_conjecture,
occurrence_of(esk20_0,tptp0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_23,plain,
! [X167,X168] :
( ( ~ leaf_occ(X167,X168)
& arboreal(X167)
& subactivity_occurrence(X167,X168)
& occurrence_of(X168,tptp0) )
=> ? [X169] :
( next_subocc(X167,X169,tptp0)
& occurrence_of(X169,tptp1) ) ),
inference(fof_simplification,[status(thm)],[sos_63]) ).
fof(c_0_24,plain,
! [X301,X302,X303,X304] :
( ~ min_precedes(X302,X304,X303)
| ~ leaf_occ(X302,X301)
| ~ occurrence_of(X301,X303) ),
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_25,plain,
( ~ next_subocc(X1,X2,X3)
| min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_26,negated_conjecture,
next_subocc(esk17_1(esk20_0),esk18_1(esk20_0),tptp0),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
fof(c_0_27,plain,
! [X354,X355] :
( ( leaf_occ(X354,X355)
| ~ arboreal(X354)
| ~ subactivity_occurrence(X354,X355)
| ~ occurrence_of(X355,tptp0)
| next_subocc(X354,esk19_1(X354),tptp0) )
& ( leaf_occ(X354,X355)
| ~ arboreal(X354)
| ~ subactivity_occurrence(X354,X355)
| ~ occurrence_of(X355,tptp0)
| occurrence_of(esk19_1(X354),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_23])])])])])])]) ).
fof(c_0_28,plain,
! [X281,X282,X284,X285,X286] :
( ( root_occ(X284,X285)
| ~ root(X284,X286)
| ~ subactivity_occurrence(X284,X285)
| ~ occurrence_of(X285,X286) )
& ( ~ root_occ(X281,X282)
| root(X281,esk14_2(X281,X282)) )
& ( ~ root_occ(X281,X282)
| subactivity_occurrence(X281,X282) )
& ( ~ root_occ(X281,X282)
| occurrence_of(X282,esk14_2(X281,X282)) ) ),
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_29,plain,
( ~ occurrence_of(X1,tptp0)
| root_occ(esk17_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_30,plain,
! [X187,X188] :
( ( ~ occurrence_of(X187,X188)
| arboreal(X187)
| ~ atomic(X188) )
& ( ~ occurrence_of(X187,X188)
| atomic(X188)
| ~ arboreal(X187) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_07])])])]) ).
cnf(c_0_31,plain,
( ~ occurrence_of(X1,tptp0)
| occurrence_of(esk17_1(X1),tptp4) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_32,plain,
( ~ min_precedes(X3,X4,X2)
| ~ leaf_occ(X3,X1)
| ~ occurrence_of(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_33,negated_conjecture,
min_precedes(esk17_1(esk20_0),esk18_1(esk20_0),tptp0),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_34,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_27]) ).
cnf(c_0_35,plain,
( ~ root_occ(X1,X2)
| subactivity_occurrence(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_36,negated_conjecture,
root_occ(esk17_1(esk20_0),esk20_0),
inference(spm,[status(thm)],[c_0_29,c_0_22]) ).
cnf(c_0_37,plain,
( ~ occurrence_of(X2,X1)
| ~ atomic(X1)
| arboreal(X2) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_38,negated_conjecture,
occurrence_of(esk17_1(esk20_0),tptp4),
inference(spm,[status(thm)],[c_0_31,c_0_22]) ).
cnf(c_0_39,plain,
atomic(tptp4),
inference(split_conjunct,[status(thm)],[sos_52]) ).
cnf(c_0_40,negated_conjecture,
( ~ occurrence_of(X1,tptp0)
| ~ leaf_occ(esk17_1(esk20_0),X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_41,negated_conjecture,
( ~ arboreal(X1)
| ~ subactivity_occurrence(X1,esk20_0)
| next_subocc(X1,esk19_1(X1),tptp0)
| leaf_occ(X1,esk20_0) ),
inference(spm,[status(thm)],[c_0_34,c_0_22]) ).
cnf(c_0_42,negated_conjecture,
subactivity_occurrence(esk17_1(esk20_0),esk20_0),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_43,negated_conjecture,
arboreal(esk17_1(esk20_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39])]) ).
cnf(c_0_44,negated_conjecture,
~ leaf_occ(esk17_1(esk20_0),esk20_0),
inference(spm,[status(thm)],[c_0_40,c_0_22]) ).
fof(c_0_45,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_46,plain,
! [X251,X252,X253] :
( ( ~ min_precedes(X252,X253,X251)
| subactivity_occurrence(X253,esk10_3(X251,X252,X253)) )
& ( ~ min_precedes(X252,X253,X251)
| subactivity_occurrence(X252,esk10_3(X251,X252,X253)) )
& ( ~ min_precedes(X252,X253,X251)
| occurrence_of(esk10_3(X251,X252,X253),X251) ) ),
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_47,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_41,c_0_42]),c_0_43])]),c_0_44]) ).
cnf(c_0_48,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_27]) ).
fof(c_0_49,plain,
! [X305,X306,X307,X308] :
( ~ min_precedes(X308,X306,X307)
| ~ root_occ(X306,X305)
| ~ occurrence_of(X305,X307) ),
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_50,plain,
! [X352,X353] :
( root_occ(X352,X353)
| leaf_occ(X352,X353)
| ~ arboreal(X352)
| ~ subactivity_occurrence(X352,X353)
| ~ occurrence_of(X353,tptp0) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])])]) ).
cnf(c_0_51,plain,
( ~ min_precedes(X2,X3,X1)
| occurrence_of(esk10_3(X1,X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_52,negated_conjecture,
min_precedes(esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)),tptp0),
inference(spm,[status(thm)],[c_0_25,c_0_47]) ).
cnf(c_0_53,negated_conjecture,
( ~ arboreal(X1)
| ~ subactivity_occurrence(X1,esk20_0)
| occurrence_of(esk19_1(X1),tptp1)
| leaf_occ(X1,esk20_0) ),
inference(spm,[status(thm)],[c_0_48,c_0_22]) ).
cnf(c_0_54,plain,
( ~ min_precedes(X4,X3,X2)
| ~ root_occ(X3,X1)
| ~ occurrence_of(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
fof(c_0_55,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_56,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_50]) ).
cnf(c_0_57,negated_conjecture,
occurrence_of(esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0))),tptp0),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_58,plain,
( ~ min_precedes(X3,X1,X2)
| subactivity_occurrence(X1,esk10_3(X2,X3,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_59,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_53,c_0_42]),c_0_43])]),c_0_44]) ).
cnf(c_0_60,plain,
atomic(tptp1),
inference(split_conjunct,[status(thm)],[sos_55]) ).
cnf(c_0_61,negated_conjecture,
( ~ occurrence_of(X1,tptp0)
| ~ root_occ(esk19_1(esk17_1(esk20_0)),X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_52]) ).
fof(c_0_62,plain,
! [X297,X298,X299,X300] :
( X297 = X298
| ~ leaf_occ(X298,X299)
| ~ leaf_occ(X297,X299)
| atomic(X300)
| ~ occurrence_of(X299,X300) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_55])])]) ).
cnf(c_0_63,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_56,c_0_57]) ).
cnf(c_0_64,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_58,c_0_52]) ).
cnf(c_0_65,negated_conjecture,
arboreal(esk19_1(esk17_1(esk20_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_59]),c_0_60])]) ).
cnf(c_0_66,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_61,c_0_57]) ).
cnf(c_0_67,plain,
( ~ leaf_occ(X4,X1)
| ~ leaf_occ(X3,X1)
| ~ occurrence_of(X1,X2)
| X3 = X4
| atomic(X2) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_68,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_63,c_0_64]),c_0_65])]),c_0_66]) ).
cnf(c_0_69,plain,
( ~ occurrence_of(X1,tptp0)
| leaf_occ(esk18_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_70,plain,
~ atomic(tptp0),
inference(fof_simplification,[status(thm)],[sos_51]) ).
cnf(c_0_71,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_67,c_0_68]) ).
cnf(c_0_72,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_69,c_0_57]) ).
fof(c_0_73,plain,
~ atomic(tptp0),
inference(fof_nnf,[status(thm)],[c_0_70]) ).
fof(c_0_74,plain,
! [X175,X176,X177] :
( X176 = X177
| ~ occurrence_of(X175,X177)
| ~ occurrence_of(X175,X176) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_02])])]) ).
cnf(c_0_75,plain,
( ~ occurrence_of(X1,tptp0)
| occurrence_of(esk18_1(X1),tptp2)
| occurrence_of(esk18_1(X1),tptp3) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_76,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_71,c_0_72]) ).
cnf(c_0_77,plain,
~ atomic(tptp0),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
fof(c_0_78,plain,
tptp1 != tptp2,
inference(fof_simplification,[status(thm)],[sos_60]) ).
cnf(c_0_79,plain,
( ~ occurrence_of(X1,X3)
| ~ occurrence_of(X1,X2)
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_80,negated_conjecture,
( occurrence_of(esk18_1(esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)))),tptp3)
| occurrence_of(esk18_1(esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)))),tptp2) ),
inference(spm,[status(thm)],[c_0_75,c_0_57]) ).
cnf(c_0_81,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_76,c_0_57]),c_0_77]) ).
fof(c_0_82,plain,
tptp1 != tptp2,
inference(fof_nnf,[status(thm)],[c_0_78]) ).
fof(c_0_83,plain,
tptp1 != tptp3,
inference(fof_simplification,[status(thm)],[sos_59]) ).
cnf(c_0_84,negated_conjecture,
( ~ occurrence_of(esk19_1(esk17_1(esk20_0)),X1)
| X1 = tptp1 ),
inference(spm,[status(thm)],[c_0_79,c_0_59]) ).
cnf(c_0_85,negated_conjecture,
( occurrence_of(esk19_1(esk17_1(esk20_0)),tptp2)
| occurrence_of(esk19_1(esk17_1(esk20_0)),tptp3) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_81]),c_0_81]) ).
cnf(c_0_86,plain,
tptp1 != tptp2,
inference(split_conjunct,[status(thm)],[c_0_82]) ).
fof(c_0_87,plain,
tptp1 != tptp3,
inference(fof_nnf,[status(thm)],[c_0_83]) ).
cnf(c_0_88,negated_conjecture,
occurrence_of(esk19_1(esk17_1(esk20_0)),tptp3),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86]) ).
cnf(c_0_89,plain,
tptp1 != tptp3,
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_90,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_88]),c_0_89]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PRO005+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n007.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 03:39:36 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.41 Running first-order theorem proving
% 0.14/0.41 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
% 1.93/0.72 % Version: 3.5.1
% 1.93/0.72 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.93/0.72 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.93/0.72 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.93/0.72 % Starting new_bool_3 with 300s (1) cores
% 1.93/0.72 % Starting new_bool_1 with 300s (1) cores
% 1.93/0.72 % Starting sh5l with 300s (1) cores
% 1.93/0.72 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 91416 completed with status 0
% 1.93/0.72 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 1.93/0.72 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.93/0.72 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.93/0.72 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.93/0.72 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.93/0.72 % No SInE strategy applied
% 1.93/0.72 % Search class: FGHSF-FFMM32-SFFFFFNN
% 1.93/0.72 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.93/0.72 % Starting SubtermCWHack with 136s (1) cores
% 1.93/0.72 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1.93/0.72 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI with 136s (1) cores
% 1.93/0.72 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 136s (1) cores
% 1.93/0.72 % Starting G-E--_107_C48_F1_PI_AE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 1.93/0.72 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI with pid 91424 completed with status 0
% 1.93/0.72 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI
% 1.93/0.72 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.93/0.72 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.93/0.72 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.93/0.72 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.93/0.72 % No SInE strategy applied
% 1.93/0.72 % Search class: FGHSF-FFMM32-SFFFFFNN
% 1.93/0.72 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.93/0.72 % Starting SubtermCWHack with 136s (1) cores
% 1.93/0.72 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1.93/0.72 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI with 136s (1) cores
% 1.93/0.72 % Preprocessing time : 0.003 s
% 1.93/0.72 % Presaturation interreduction done
% 1.93/0.72
% 1.93/0.72 % Proof found!
% 1.93/0.72 % SZS status Theorem
% 1.93/0.72 % SZS output start CNFRefutation
% See solution above
% 1.93/0.72 % Parsed axioms : 65
% 1.93/0.72 % Removed by relevancy pruning/SinE : 0
% 1.93/0.72 % Initial clauses : 103
% 1.93/0.72 % Removed in clause preprocessing : 0
% 1.93/0.72 % Initial clauses in saturation : 103
% 1.93/0.72 % Processed clauses : 2400
% 1.93/0.72 % ...of these trivial : 58
% 1.93/0.72 % ...subsumed : 676
% 1.93/0.72 % ...remaining for further processing : 1666
% 1.93/0.72 % Other redundant clauses eliminated : 0
% 1.93/0.72 % Clauses deleted for lack of memory : 0
% 1.93/0.72 % Backward-subsumed : 5
% 1.93/0.72 % Backward-rewritten : 295
% 1.93/0.72 % Generated clauses : 5309
% 1.93/0.72 % ...of the previous two non-redundant : 4775
% 1.93/0.72 % ...aggressively subsumed : 0
% 1.93/0.72 % Contextual simplify-reflections : 3
% 1.93/0.72 % Paramodulations : 5304
% 1.93/0.72 % Factorizations : 5
% 1.93/0.72 % NegExts : 0
% 1.93/0.72 % Equation resolutions : 0
% 1.93/0.72 % Disequality decompositions : 0
% 1.93/0.72 % Total rewrite steps : 1849
% 1.93/0.72 % ...of those cached : 1658
% 1.93/0.72 % Propositional unsat checks : 0
% 1.93/0.72 % Propositional check models : 0
% 1.93/0.72 % Propositional check unsatisfiable : 0
% 1.93/0.72 % Propositional clauses : 0
% 1.93/0.72 % Propositional clauses after purity: 0
% 1.93/0.72 % Propositional unsat core size : 0
% 1.93/0.72 % Propositional preprocessing time : 0.000
% 1.93/0.72 % Propositional encoding time : 0.000
% 1.93/0.72 % Propositional solver time : 0.000
% 1.93/0.72 % Success case prop preproc time : 0.000
% 1.93/0.72 % Success case prop encoding time : 0.000
% 1.93/0.72 % Success case prop solver time : 0.000
% 1.93/0.72 % Current number of processed clauses : 1263
% 1.93/0.72 % Positive orientable unit clauses : 340
% 1.93/0.72 % Positive unorientable unit clauses: 0
% 1.93/0.72 % Negative unit clauses : 281
% 1.93/0.72 % Non-unit-clauses : 642
% 1.93/0.72 % Current number of unprocessed clauses: 2328
% 1.93/0.72 % ...number of literals in the above : 6298
% 1.93/0.72 % Current number of archived formulas : 0
% 1.93/0.72 % Current number of archived clauses : 403
% 1.93/0.72 % Clause-clause subsumption calls (NU) : 67514
% 1.93/0.72 % Rec. Clause-clause subsumption calls : 39569
% 1.93/0.72 % Non-unit clause-clause subsumptions : 471
% 1.93/0.72 % Unit Clause-clause subsumption calls : 4233
% 1.93/0.72 % Rewrite failures with RHS unbound : 0
% 1.93/0.72 % BW rewrite match attempts : 368
% 1.93/0.72 % BW rewrite match successes : 42
% 1.93/0.72 % Condensation attempts : 0
% 1.93/0.72 % Condensation successes : 0
% 1.93/0.72 % Termbank termtop insertions : 133010
% 1.93/0.72 % Search garbage collected termcells : 1859
% 1.93/0.72
% 1.93/0.72 % -------------------------------------------------
% 1.93/0.72 % User time : 0.227 s
% 1.93/0.72 % System time : 0.019 s
% 1.93/0.72 % Total time : 0.246 s
% 1.93/0.72 % Maximum resident set size: 3812 pages
% 1.93/0.72
% 1.93/0.72 % -------------------------------------------------
% 1.93/0.72 % User time : 1.245 s
% 1.93/0.72 % System time : 0.061 s
% 1.93/0.72 % Total time : 1.306 s
% 1.93/0.72 % Maximum resident set size: 4864 pages
% 1.93/0.72 % E exiting
%------------------------------------------------------------------------------