%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : PRO002+3 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n020.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 : Tue May 5 05:01:50 PM UTC 2026
% Result : Theorem 3.79s 3.09s
% Output : CNFRefutation 3.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 17
% Syntax : Number of formulae : 132 ( 43 unt; 0 def)
% Number of atoms : 372 ( 39 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 400 ( 160 ~; 150 |; 71 &)
% ( 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 : 20 ( 20 usr; 7 con; 0-4 aty)
% Number of variables : 246 ( 29 sgn 113 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(sos_65,axiom,
! [X181,X182,X183] :
( tptp1(X181,X182,X183)
=> ( activity(X181)
& ~ atomic(X181)
& ~ atomic(X182)
& root(X183,X182) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_65) ).
fof(goals,conjecture,
~ ? [X194,X195,X196] :
( tptp1(X194,tptp0,X195)
& occurrence_of(X196,X194) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
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(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_66,axiom,
! [X184,X185,X186,X187] :
( ( tptp1(X184,X185,X186)
& occurrence_of(X187,X184) )
=> ? [X188,X189,X190,X191] :
( send_message(X188,X189,X190,X186,X185)
& occurrence_of(X191,X188)
& root_occ(X191,X187) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_66) ).
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_64,axiom,
! [X175,X176,X177,X178,X179,X180] :
( ( send_message(X175,X176,X177,X178,X179)
& occurrence_of(X180,X175) )
=> min_precedes(X178,X180,X179) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_64) ).
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_26,axiom,
! [X74,X75] :
( ( root(X75,X74)
& ~ atomic(X74) )
=> ? [X76] :
( occurrence_of(X76,X74)
& subactivity_occurrence(X75,X76) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_26) ).
fof(sos_49,axiom,
! [X162] :
( occurrence_of(X162,tptp0)
=> ? [X163,X164] :
( occurrence_of(X163,tptp4)
& root_occ(X163,X162)
& ( occurrence_of(X164,tptp3)
| occurrence_of(X164,tptp2) )
& leaf_occ(X164,X162)
& next_subocc(X163,X164,tptp0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_49) ).
fof(sos_34,axiom,
! [X103,X104] :
( leaf_occ(X103,X104)
<=> ? [X105] :
( occurrence_of(X104,X105)
& subactivity_occurrence(X103,X104)
& leaf(X103,X105) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_34) ).
fof(sos_24,axiom,
! [X68,X69] :
( subactivity_occurrence(X68,X69)
=> ( activity_occurrence(X68)
& activity_occurrence(X69) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_24) ).
fof(sos_48,axiom,
! [X157,X158,X159,X160,X161] :
( ( occurrence_of(X158,X157)
& root_occ(X160,X158)
& leaf_occ(X161,X158)
& subactivity_occurrence(X159,X158)
& min_precedes(X160,X159,X157)
& X159 != X161 )
=> min_precedes(X159,X161,X157) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_48) ).
fof(sos_22,axiom,
! [X61,X62,X63] :
( next_subocc(X61,X62,X63)
<=> ( min_precedes(X61,X62,X63)
& ~ ? [X64] :
( min_precedes(X61,X64,X63)
& min_precedes(X64,X62,X63) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_22) ).
fof(sos_02,axiom,
! [X5,X6,X7] :
( ( occurrence_of(X5,X6)
& occurrence_of(X5,X7) )
=> X6 = X7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).
fof(sos_01,axiom,
! [X3] :
( activity_occurrence(X3)
=> ? [X4] :
( activity(X4)
& occurrence_of(X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_01) ).
fof(sos_63,axiom,
! [X170,X171,X172,X173,X174] :
( send_message(X170,X171,X172,X173,X174)
=> ( X170 != tptp4
& X170 != tptp3
& X170 != tptp2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_63) ).
fof(c_0_17,plain,
! [X181,X182,X183] :
( tptp1(X181,X182,X183)
=> ( activity(X181)
& ~ atomic(X181)
& ~ atomic(X182)
& root(X183,X182) ) ),
inference(fof_simplification,[status(thm)],[sos_65]) ).
fof(c_0_18,negated_conjecture,
~ ~ ? [X194,X195,X196] :
( tptp1(X194,tptp0,X195)
& occurrence_of(X196,X194) ),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_19,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_20,plain,
! [X590,X591,X592] :
( ( activity(X590)
| ~ tptp1(X590,X591,X592) )
& ( ~ atomic(X590)
| ~ tptp1(X590,X591,X592) )
& ( ~ atomic(X591)
| ~ tptp1(X590,X591,X592) )
& ( root(X592,X591)
| ~ tptp1(X590,X591,X592) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])]) ).
fof(c_0_21,negated_conjecture,
( tptp1(esk23_0,tptp0,esk24_0)
& occurrence_of(esk25_0,esk23_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])]) ).
fof(c_0_22,plain,
! [X480,X481] :
( ( root(esk12_2(X480,X481),X480)
| ~ occurrence_of(X481,X480)
| atomic(X480) )
& ( subactivity_occurrence(esk12_2(X480,X481),X481)
| ~ occurrence_of(X481,X480)
| atomic(X480) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])]) ).
cnf(c_0_23,plain,
( ~ atomic(X1)
| ~ tptp1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_24,negated_conjecture,
tptp1(esk23_0,tptp0,esk24_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_25,plain,
! [X503,X504,X506,X507,X508] :
( ( occurrence_of(X504,esk14_2(X503,X504))
| ~ root_occ(X503,X504) )
& ( subactivity_occurrence(X503,X504)
| ~ root_occ(X503,X504) )
& ( root(X503,esk14_2(X503,X504))
| ~ root_occ(X503,X504) )
& ( ~ occurrence_of(X507,X508)
| ~ subactivity_occurrence(X506,X507)
| ~ root(X506,X508)
| root_occ(X506,X507) ) ),
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_26,plain,
( subactivity_occurrence(esk12_2(X1,X2),X2)
| atomic(X1)
| ~ occurrence_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_27,negated_conjecture,
occurrence_of(esk25_0,esk23_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_28,negated_conjecture,
~ atomic(esk23_0),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_29,plain,
( root_occ(X3,X1)
| ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X3,X1)
| ~ root(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_30,negated_conjecture,
subactivity_occurrence(esk12_2(esk23_0,esk25_0),esk25_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]) ).
cnf(c_0_31,plain,
( root(esk12_2(X1,X2),X1)
| atomic(X1)
| ~ occurrence_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_32,plain,
! [X593,X594,X595,X596] :
( ( send_message(esk19_4(X593,X594,X595,X596),esk20_4(X593,X594,X595,X596),esk21_4(X593,X594,X595,X596),X595,X594)
| ~ tptp1(X593,X594,X595)
| ~ occurrence_of(X596,X593) )
& ( occurrence_of(esk22_4(X593,X594,X595,X596),esk19_4(X593,X594,X595,X596))
| ~ tptp1(X593,X594,X595)
| ~ occurrence_of(X596,X593) )
& ( root_occ(esk22_4(X593,X594,X595,X596),X596)
| ~ tptp1(X593,X594,X595)
| ~ occurrence_of(X596,X593) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_66])])])]) ).
fof(c_0_33,plain,
! [X515,X516,X517,X518] :
( ~ occurrence_of(X517,X518)
| ~ root_occ(X515,X517)
| ~ root_occ(X516,X517)
| X515 = X516 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_35])]) ).
cnf(c_0_34,negated_conjecture,
( root_occ(esk12_2(esk23_0,esk25_0),esk25_0)
| ~ root(esk12_2(esk23_0,esk25_0),X1)
| ~ occurrence_of(esk25_0,X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_35,negated_conjecture,
root(esk12_2(esk23_0,esk25_0),esk23_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_27]),c_0_28]) ).
cnf(c_0_36,plain,
( root_occ(esk22_4(X1,X2,X3,X4),X4)
| ~ tptp1(X1,X2,X3)
| ~ occurrence_of(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_37,plain,
( X3 = X4
| ~ occurrence_of(X1,X2)
| ~ root_occ(X3,X1)
| ~ root_occ(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_38,negated_conjecture,
root_occ(esk12_2(esk23_0,esk25_0),esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_27]),c_0_35])]) ).
cnf(c_0_39,negated_conjecture,
( root_occ(esk22_4(esk23_0,tptp0,esk24_0,X1),X1)
| ~ occurrence_of(X1,esk23_0) ),
inference(spm,[status(thm)],[c_0_36,c_0_24]) ).
cnf(c_0_40,plain,
( send_message(esk19_4(X1,X2,X3,X4),esk20_4(X1,X2,X3,X4),esk21_4(X1,X2,X3,X4),X3,X2)
| ~ tptp1(X1,X2,X3)
| ~ occurrence_of(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_41,plain,
( occurrence_of(esk22_4(X1,X2,X3,X4),esk19_4(X1,X2,X3,X4))
| ~ tptp1(X1,X2,X3)
| ~ occurrence_of(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_42,negated_conjecture,
( X1 = esk12_2(esk23_0,esk25_0)
| ~ root_occ(X1,esk25_0)
| ~ occurrence_of(esk25_0,X2) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_43,negated_conjecture,
root_occ(esk22_4(esk23_0,tptp0,esk24_0,esk25_0),esk25_0),
inference(spm,[status(thm)],[c_0_39,c_0_27]) ).
fof(c_0_44,plain,
! [X584,X585,X586,X587,X588,X589] :
( ~ send_message(X584,X585,X586,X587,X588)
| ~ occurrence_of(X589,X584)
| min_precedes(X587,X589,X588) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_64])]) ).
cnf(c_0_45,negated_conjecture,
( send_message(esk19_4(esk23_0,tptp0,esk24_0,X1),esk20_4(esk23_0,tptp0,esk24_0,X1),esk21_4(esk23_0,tptp0,esk24_0,X1),esk24_0,tptp0)
| ~ occurrence_of(X1,esk23_0) ),
inference(spm,[status(thm)],[c_0_40,c_0_24]) ).
cnf(c_0_46,negated_conjecture,
( occurrence_of(esk22_4(esk23_0,tptp0,esk24_0,X1),esk19_4(esk23_0,tptp0,esk24_0,X1))
| ~ occurrence_of(X1,esk23_0) ),
inference(spm,[status(thm)],[c_0_41,c_0_24]) ).
cnf(c_0_47,negated_conjecture,
( esk22_4(esk23_0,tptp0,esk24_0,esk25_0) = esk12_2(esk23_0,esk25_0)
| ~ occurrence_of(esk25_0,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_48,plain,
( min_precedes(X4,X6,X5)
| ~ send_message(X1,X2,X3,X4,X5)
| ~ occurrence_of(X6,X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_49,negated_conjecture,
send_message(esk19_4(esk23_0,tptp0,esk24_0,esk25_0),esk20_4(esk23_0,tptp0,esk24_0,esk25_0),esk21_4(esk23_0,tptp0,esk24_0,esk25_0),esk24_0,tptp0),
inference(spm,[status(thm)],[c_0_45,c_0_27]) ).
cnf(c_0_50,negated_conjecture,
occurrence_of(esk22_4(esk23_0,tptp0,esk24_0,esk25_0),esk19_4(esk23_0,tptp0,esk24_0,esk25_0)),
inference(spm,[status(thm)],[c_0_46,c_0_27]) ).
cnf(c_0_51,negated_conjecture,
esk22_4(esk23_0,tptp0,esk24_0,esk25_0) = esk12_2(esk23_0,esk25_0),
inference(spm,[status(thm)],[c_0_47,c_0_27]) ).
fof(c_0_52,plain,
! [X473,X474,X475] :
( ( occurrence_of(esk10_3(X473,X474,X475),X473)
| ~ min_precedes(X474,X475,X473) )
& ( subactivity_occurrence(X474,esk10_3(X473,X474,X475))
| ~ min_precedes(X474,X475,X473) )
& ( subactivity_occurrence(X475,esk10_3(X473,X474,X475))
| ~ min_precedes(X474,X475,X473) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_25])])])]) ).
cnf(c_0_53,negated_conjecture,
( min_precedes(esk24_0,X1,tptp0)
| ~ occurrence_of(X1,esk19_4(esk23_0,tptp0,esk24_0,esk25_0)) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_54,negated_conjecture,
occurrence_of(esk12_2(esk23_0,esk25_0),esk19_4(esk23_0,tptp0,esk24_0,esk25_0)),
inference(rw,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_55,plain,
( subactivity_occurrence(X1,esk10_3(X2,X1,X3))
| ~ min_precedes(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_56,negated_conjecture,
min_precedes(esk24_0,esk12_2(esk23_0,esk25_0),tptp0),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_57,negated_conjecture,
subactivity_occurrence(esk24_0,esk10_3(tptp0,esk24_0,esk12_2(esk23_0,esk25_0))),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_58,plain,
( root(X1,X2)
| ~ tptp1(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_59,plain,
( occurrence_of(esk10_3(X1,X2,X3),X1)
| ~ min_precedes(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
fof(c_0_60,plain,
! [X74,X75] :
( ( root(X75,X74)
& ~ atomic(X74) )
=> ? [X76] :
( occurrence_of(X76,X74)
& subactivity_occurrence(X75,X76) ) ),
inference(fof_simplification,[status(thm)],[sos_26]) ).
cnf(c_0_61,negated_conjecture,
( root_occ(esk24_0,esk10_3(tptp0,esk24_0,esk12_2(esk23_0,esk25_0)))
| ~ root(esk24_0,X1)
| ~ occurrence_of(esk10_3(tptp0,esk24_0,esk12_2(esk23_0,esk25_0)),X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_57]) ).
cnf(c_0_62,negated_conjecture,
root(esk24_0,tptp0),
inference(spm,[status(thm)],[c_0_58,c_0_24]) ).
cnf(c_0_63,negated_conjecture,
occurrence_of(esk10_3(tptp0,esk24_0,esk12_2(esk23_0,esk25_0)),tptp0),
inference(spm,[status(thm)],[c_0_59,c_0_56]) ).
fof(c_0_64,plain,
! [X571] :
( ( occurrence_of(esk17_1(X571),tptp4)
| ~ occurrence_of(X571,tptp0) )
& ( root_occ(esk17_1(X571),X571)
| ~ occurrence_of(X571,tptp0) )
& ( occurrence_of(esk18_1(X571),tptp3)
| occurrence_of(esk18_1(X571),tptp2)
| ~ occurrence_of(X571,tptp0) )
& ( leaf_occ(esk18_1(X571),X571)
| ~ occurrence_of(X571,tptp0) )
& ( next_subocc(esk17_1(X571),esk18_1(X571),tptp0)
| ~ occurrence_of(X571,tptp0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_49])])])]) ).
fof(c_0_65,plain,
! [X477,X478] :
( ( occurrence_of(esk11_2(X477,X478),X477)
| ~ root(X478,X477)
| atomic(X477) )
& ( subactivity_occurrence(X478,esk11_2(X477,X478))
| ~ root(X478,X477)
| atomic(X477) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_60])])])]) ).
cnf(c_0_66,negated_conjecture,
root_occ(esk24_0,esk10_3(tptp0,esk24_0,esk12_2(esk23_0,esk25_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_67,plain,
( root_occ(esk17_1(X1),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_68,plain,
( subactivity_occurrence(X1,esk11_2(X2,X1))
| atomic(X2)
| ~ root(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_69,negated_conjecture,
( X1 = esk24_0
| ~ root_occ(X1,esk10_3(tptp0,esk24_0,esk12_2(esk23_0,esk25_0)))
| ~ occurrence_of(esk10_3(tptp0,esk24_0,esk12_2(esk23_0,esk25_0)),X2) ),
inference(spm,[status(thm)],[c_0_37,c_0_66]) ).
cnf(c_0_70,negated_conjecture,
root_occ(esk17_1(esk10_3(tptp0,esk24_0,esk12_2(esk23_0,esk25_0))),esk10_3(tptp0,esk24_0,esk12_2(esk23_0,esk25_0))),
inference(spm,[status(thm)],[c_0_67,c_0_63]) ).
cnf(c_0_71,negated_conjecture,
subactivity_occurrence(esk12_2(esk23_0,esk25_0),esk11_2(esk23_0,esk12_2(esk23_0,esk25_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_35]),c_0_28]) ).
cnf(c_0_72,plain,
( occurrence_of(esk11_2(X1,X2),X1)
| atomic(X1)
| ~ root(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
fof(c_0_73,plain,
! [X509,X510,X512,X513,X514] :
( ( occurrence_of(X510,esk15_2(X509,X510))
| ~ leaf_occ(X509,X510) )
& ( subactivity_occurrence(X509,X510)
| ~ leaf_occ(X509,X510) )
& ( leaf(X509,esk15_2(X509,X510))
| ~ leaf_occ(X509,X510) )
& ( ~ occurrence_of(X513,X514)
| ~ subactivity_occurrence(X512,X513)
| ~ leaf(X512,X514)
| leaf_occ(X512,X513) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_34])])])])])]) ).
cnf(c_0_74,plain,
( leaf_occ(esk18_1(X1),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_75,negated_conjecture,
( esk17_1(esk10_3(tptp0,esk24_0,esk12_2(esk23_0,esk25_0))) = esk24_0
| ~ occurrence_of(esk10_3(tptp0,esk24_0,esk12_2(esk23_0,esk25_0)),X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_76,negated_conjecture,
( root_occ(esk12_2(esk23_0,esk25_0),esk11_2(esk23_0,esk12_2(esk23_0,esk25_0)))
| ~ root(esk12_2(esk23_0,esk25_0),X1)
| ~ occurrence_of(esk11_2(esk23_0,esk12_2(esk23_0,esk25_0)),X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_71]) ).
cnf(c_0_77,negated_conjecture,
occurrence_of(esk11_2(esk23_0,esk12_2(esk23_0,esk25_0)),esk23_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_35]),c_0_28]) ).
fof(c_0_78,plain,
! [X471,X472] :
( ( activity_occurrence(X471)
| ~ subactivity_occurrence(X471,X472) )
& ( activity_occurrence(X472)
| ~ subactivity_occurrence(X471,X472) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_24])])]) ).
cnf(c_0_79,plain,
( subactivity_occurrence(X1,X2)
| ~ leaf_occ(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_80,negated_conjecture,
leaf_occ(esk18_1(esk10_3(tptp0,esk24_0,esk12_2(esk23_0,esk25_0))),esk10_3(tptp0,esk24_0,esk12_2(esk23_0,esk25_0))),
inference(spm,[status(thm)],[c_0_74,c_0_63]) ).
fof(c_0_81,plain,
! [X566,X567,X568,X569,X570] :
( ~ occurrence_of(X567,X566)
| ~ root_occ(X569,X567)
| ~ leaf_occ(X570,X567)
| ~ subactivity_occurrence(X568,X567)
| ~ min_precedes(X569,X568,X566)
| X568 = X570
| min_precedes(X568,X570,X566) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_48])]) ).
fof(c_0_82,plain,
! [X457,X458,X459,X460,X461,X462,X463] :
( ( min_precedes(X457,X458,X459)
| ~ next_subocc(X457,X458,X459) )
& ( ~ min_precedes(X457,X460,X459)
| ~ min_precedes(X460,X458,X459)
| ~ next_subocc(X457,X458,X459) )
& ( min_precedes(X461,esk8_3(X461,X462,X463),X463)
| ~ min_precedes(X461,X462,X463)
| next_subocc(X461,X462,X463) )
& ( min_precedes(esk8_3(X461,X462,X463),X462,X463)
| ~ min_precedes(X461,X462,X463)
| next_subocc(X461,X462,X463) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_22])])])])])]) ).
cnf(c_0_83,plain,
( next_subocc(esk17_1(X1),esk18_1(X1),tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_84,negated_conjecture,
esk17_1(esk10_3(tptp0,esk24_0,esk12_2(esk23_0,esk25_0))) = esk24_0,
inference(spm,[status(thm)],[c_0_75,c_0_63]) ).
fof(c_0_85,plain,
! [X397,X398,X399] :
( ~ occurrence_of(X397,X398)
| ~ occurrence_of(X397,X399)
| X398 = X399 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_02])]) ).
cnf(c_0_86,negated_conjecture,
root_occ(esk12_2(esk23_0,esk25_0),esk11_2(esk23_0,esk12_2(esk23_0,esk25_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_35]),c_0_77])]) ).
cnf(c_0_87,plain,
( occurrence_of(esk18_1(X1),tptp3)
| occurrence_of(esk18_1(X1),tptp2)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
fof(c_0_88,plain,
! [X395] :
( ( activity(esk1_1(X395))
| ~ activity_occurrence(X395) )
& ( occurrence_of(X395,esk1_1(X395))
| ~ activity_occurrence(X395) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_01])])])]) ).
cnf(c_0_89,plain,
( activity_occurrence(X1)
| ~ subactivity_occurrence(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_90,negated_conjecture,
subactivity_occurrence(esk18_1(esk10_3(tptp0,esk24_0,esk12_2(esk23_0,esk25_0))),esk10_3(tptp0,esk24_0,esk12_2(esk23_0,esk25_0))),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_91,plain,
( X5 = X4
| min_precedes(X5,X4,X2)
| ~ occurrence_of(X1,X2)
| ~ root_occ(X3,X1)
| ~ leaf_occ(X4,X1)
| ~ subactivity_occurrence(X5,X1)
| ~ min_precedes(X3,X5,X2) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_92,plain,
( subactivity_occurrence(X1,esk10_3(X2,X3,X1))
| ~ min_precedes(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_93,plain,
( ~ min_precedes(X1,X2,X3)
| ~ min_precedes(X2,X4,X3)
| ~ next_subocc(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_94,negated_conjecture,
next_subocc(esk24_0,esk18_1(esk10_3(tptp0,esk24_0,esk12_2(esk23_0,esk25_0))),tptp0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_63]),c_0_84]) ).
cnf(c_0_95,plain,
( X2 = X3
| ~ occurrence_of(X1,X2)
| ~ occurrence_of(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_96,negated_conjecture,
( X1 = esk12_2(esk23_0,esk25_0)
| ~ root_occ(X1,esk11_2(esk23_0,esk12_2(esk23_0,esk25_0)))
| ~ occurrence_of(esk11_2(esk23_0,esk12_2(esk23_0,esk25_0)),X2) ),
inference(spm,[status(thm)],[c_0_37,c_0_86]) ).
cnf(c_0_97,negated_conjecture,
root_occ(esk22_4(esk23_0,tptp0,esk24_0,esk11_2(esk23_0,esk12_2(esk23_0,esk25_0))),esk11_2(esk23_0,esk12_2(esk23_0,esk25_0))),
inference(spm,[status(thm)],[c_0_39,c_0_77]) ).
cnf(c_0_98,negated_conjecture,
( occurrence_of(esk18_1(esk10_3(tptp0,esk24_0,esk12_2(esk23_0,esk25_0))),tptp2)
| occurrence_of(esk18_1(esk10_3(tptp0,esk24_0,esk12_2(esk23_0,esk25_0))),tptp3) ),
inference(spm,[status(thm)],[c_0_87,c_0_63]) ).
cnf(c_0_99,plain,
( occurrence_of(X1,esk1_1(X1))
| ~ activity_occurrence(X1) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_100,negated_conjecture,
activity_occurrence(esk18_1(esk10_3(tptp0,esk24_0,esk12_2(esk23_0,esk25_0)))),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_101,negated_conjecture,
( X1 = esk12_2(esk23_0,esk25_0)
| min_precedes(esk12_2(esk23_0,esk25_0),X1,tptp0)
| ~ leaf_occ(X1,X2)
| ~ root_occ(esk24_0,X2)
| ~ subactivity_occurrence(esk12_2(esk23_0,esk25_0),X2)
| ~ occurrence_of(X2,tptp0) ),
inference(spm,[status(thm)],[c_0_91,c_0_56]) ).
cnf(c_0_102,negated_conjecture,
subactivity_occurrence(esk12_2(esk23_0,esk25_0),esk10_3(tptp0,esk24_0,esk12_2(esk23_0,esk25_0))),
inference(spm,[status(thm)],[c_0_92,c_0_56]) ).
cnf(c_0_103,negated_conjecture,
( ~ min_precedes(X1,esk18_1(esk10_3(tptp0,esk24_0,esk12_2(esk23_0,esk25_0))),tptp0)
| ~ min_precedes(esk24_0,X1,tptp0) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_104,negated_conjecture,
( X1 = esk19_4(esk23_0,tptp0,esk24_0,esk25_0)
| ~ occurrence_of(esk22_4(esk23_0,tptp0,esk24_0,esk25_0),X1) ),
inference(spm,[status(thm)],[c_0_95,c_0_50]) ).
cnf(c_0_105,negated_conjecture,
activity_occurrence(esk12_2(esk23_0,esk25_0)),
inference(spm,[status(thm)],[c_0_89,c_0_30]) ).
cnf(c_0_106,negated_conjecture,
occurrence_of(esk22_4(esk23_0,tptp0,esk24_0,esk11_2(esk23_0,esk12_2(esk23_0,esk25_0))),esk19_4(esk23_0,tptp0,esk24_0,esk11_2(esk23_0,esk12_2(esk23_0,esk25_0)))),
inference(spm,[status(thm)],[c_0_46,c_0_77]) ).
cnf(c_0_107,negated_conjecture,
( esk22_4(esk23_0,tptp0,esk24_0,esk11_2(esk23_0,esk12_2(esk23_0,esk25_0))) = esk12_2(esk23_0,esk25_0)
| ~ occurrence_of(esk11_2(esk23_0,esk12_2(esk23_0,esk25_0)),X1) ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_108,negated_conjecture,
( X1 = tptp2
| occurrence_of(esk18_1(esk10_3(tptp0,esk24_0,esk12_2(esk23_0,esk25_0))),tptp3)
| ~ occurrence_of(esk18_1(esk10_3(tptp0,esk24_0,esk12_2(esk23_0,esk25_0))),X1) ),
inference(spm,[status(thm)],[c_0_95,c_0_98]) ).
cnf(c_0_109,negated_conjecture,
occurrence_of(esk18_1(esk10_3(tptp0,esk24_0,esk12_2(esk23_0,esk25_0))),esk1_1(esk18_1(esk10_3(tptp0,esk24_0,esk12_2(esk23_0,esk25_0))))),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_110,negated_conjecture,
( X1 = esk12_2(esk23_0,esk25_0)
| min_precedes(esk12_2(esk23_0,esk25_0),X1,tptp0)
| ~ leaf_occ(X1,esk10_3(tptp0,esk24_0,esk12_2(esk23_0,esk25_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_66]),c_0_102]),c_0_63])]) ).
cnf(c_0_111,negated_conjecture,
~ min_precedes(esk12_2(esk23_0,esk25_0),esk18_1(esk10_3(tptp0,esk24_0,esk12_2(esk23_0,esk25_0))),tptp0),
inference(spm,[status(thm)],[c_0_103,c_0_56]) ).
cnf(c_0_112,negated_conjecture,
( X1 = esk19_4(esk23_0,tptp0,esk24_0,esk25_0)
| ~ occurrence_of(esk12_2(esk23_0,esk25_0),X1) ),
inference(rw,[status(thm)],[c_0_104,c_0_51]) ).
cnf(c_0_113,negated_conjecture,
occurrence_of(esk12_2(esk23_0,esk25_0),esk1_1(esk12_2(esk23_0,esk25_0))),
inference(spm,[status(thm)],[c_0_99,c_0_105]) ).
fof(c_0_114,plain,
! [X579,X580,X581,X582,X583] :
( ( X579 != tptp4
| ~ send_message(X579,X580,X581,X582,X583) )
& ( X579 != tptp3
| ~ send_message(X579,X580,X581,X582,X583) )
& ( X579 != tptp2
| ~ send_message(X579,X580,X581,X582,X583) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_63])])]) ).
cnf(c_0_115,negated_conjecture,
( X1 = esk19_4(esk23_0,tptp0,esk24_0,esk11_2(esk23_0,esk12_2(esk23_0,esk25_0)))
| ~ occurrence_of(esk22_4(esk23_0,tptp0,esk24_0,esk11_2(esk23_0,esk12_2(esk23_0,esk25_0))),X1) ),
inference(spm,[status(thm)],[c_0_95,c_0_106]) ).
cnf(c_0_116,negated_conjecture,
esk22_4(esk23_0,tptp0,esk24_0,esk11_2(esk23_0,esk12_2(esk23_0,esk25_0))) = esk12_2(esk23_0,esk25_0),
inference(spm,[status(thm)],[c_0_107,c_0_77]) ).
cnf(c_0_117,negated_conjecture,
( esk1_1(esk18_1(esk10_3(tptp0,esk24_0,esk12_2(esk23_0,esk25_0)))) = tptp2
| occurrence_of(esk18_1(esk10_3(tptp0,esk24_0,esk12_2(esk23_0,esk25_0))),tptp3) ),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_118,negated_conjecture,
esk18_1(esk10_3(tptp0,esk24_0,esk12_2(esk23_0,esk25_0))) = esk12_2(esk23_0,esk25_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_80]),c_0_111]) ).
cnf(c_0_119,negated_conjecture,
esk1_1(esk12_2(esk23_0,esk25_0)) = esk19_4(esk23_0,tptp0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_120,plain,
( X1 != tptp2
| ~ send_message(X1,X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_121,negated_conjecture,
( X1 = esk19_4(esk23_0,tptp0,esk24_0,esk11_2(esk23_0,esk12_2(esk23_0,esk25_0)))
| ~ occurrence_of(esk12_2(esk23_0,esk25_0),X1) ),
inference(rw,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_122,negated_conjecture,
( esk19_4(esk23_0,tptp0,esk24_0,esk25_0) = tptp2
| occurrence_of(esk12_2(esk23_0,esk25_0),tptp3) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_117,c_0_118]),c_0_119]),c_0_118]) ).
cnf(c_0_123,plain,
~ send_message(tptp2,X1,X2,X3,X4),
inference(er,[status(thm)],[c_0_120]) ).
cnf(c_0_124,negated_conjecture,
send_message(esk19_4(esk23_0,tptp0,esk24_0,esk11_2(esk23_0,esk12_2(esk23_0,esk25_0))),esk20_4(esk23_0,tptp0,esk24_0,esk11_2(esk23_0,esk12_2(esk23_0,esk25_0))),esk21_4(esk23_0,tptp0,esk24_0,esk11_2(esk23_0,esk12_2(esk23_0,esk25_0))),esk24_0,tptp0),
inference(spm,[status(thm)],[c_0_45,c_0_77]) ).
cnf(c_0_125,negated_conjecture,
esk19_4(esk23_0,tptp0,esk24_0,esk11_2(esk23_0,esk12_2(esk23_0,esk25_0))) = esk19_4(esk23_0,tptp0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_121,c_0_54]) ).
cnf(c_0_126,negated_conjecture,
occurrence_of(esk12_2(esk23_0,esk25_0),tptp3),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_122]),c_0_123]) ).
cnf(c_0_127,plain,
( X1 != tptp3
| ~ send_message(X1,X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_128,negated_conjecture,
send_message(esk19_4(esk23_0,tptp0,esk24_0,esk25_0),esk20_4(esk23_0,tptp0,esk24_0,esk11_2(esk23_0,esk12_2(esk23_0,esk25_0))),esk21_4(esk23_0,tptp0,esk24_0,esk11_2(esk23_0,esk12_2(esk23_0,esk25_0))),esk24_0,tptp0),
inference(rw,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_129,negated_conjecture,
esk19_4(esk23_0,tptp0,esk24_0,esk25_0) = tptp3,
inference(spm,[status(thm)],[c_0_112,c_0_126]) ).
cnf(c_0_130,plain,
~ send_message(tptp3,X1,X2,X3,X4),
inference(er,[status(thm)],[c_0_127]) ).
cnf(c_0_131,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_128,c_0_129]),c_0_130]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PRO002+3 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n020.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 01:30:20 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 3.79/3.09 % Version : CSE_E---1.7
% 3.79/3.09 % Problem : theBenchmark.p
% 3.79/3.09 % SZS status Theorem for theBenchmark.p
% 3.79/3.09 % SZS output start CNFRefutation
% See solution above
% 3.79/3.10 % Total time : 2.371s
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