%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : PRO018+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n024.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 : 600s
% DateTime : Mon Jul 18 17:45:07 EDT 2022
% Result : Theorem 0.23s 1.42s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 12
% Syntax : Number of formulae : 83 ( 30 unt; 0 def)
% Number of atoms : 422 ( 21 equ)
% Maximal formula atoms : 130 ( 5 avg)
% Number of connectives : 553 ( 214 ~; 252 |; 72 &)
% ( 2 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-3 aty)
% Number of variables : 121 ( 4 sgn 53 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goals,conjecture,
! [X168,X169] :
( ( occurrence_of(X169,tptp0)
& subactivity_occurrence(X168,X169)
& arboreal(X168)
& ~ leaf_occ(X168,X169) )
=> ? [X170,X171] :
( occurrence_of(X170,tptp3)
& next_subocc(X168,X170,tptp0)
& ( occurrence_of(X171,tptp1)
| occurrence_of(X171,tptp2) )
& min_precedes(X170,X171,tptp0)
& leaf_occ(X171,X169)
& ( occurrence_of(X171,tptp1)
=> ~ ? [X172] :
( occurrence_of(X172,tptp2)
& min_precedes(X170,X172,tptp0) ) )
& ( occurrence_of(X171,tptp2)
=> ~ ? [X173] :
( occurrence_of(X173,tptp1)
& min_precedes(X170,X173,tptp0) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',goals) ).
fof(sos_49,axiom,
! [X162,X163] :
( ( occurrence_of(X163,tptp0)
& subactivity_occurrence(X162,X163)
& arboreal(X162)
& ~ leaf_occ(X162,X163) )
=> ? [X164,X165,X166] :
( occurrence_of(X164,tptp3)
& next_subocc(X162,X164,tptp0)
& occurrence_of(X165,tptp4)
& min_precedes(X164,X165,tptp0)
& ( occurrence_of(X166,tptp1)
| occurrence_of(X166,tptp2) )
& min_precedes(X165,X166,tptp0)
& ! [X167] :
( min_precedes(X164,X167,tptp0)
=> ( X167 = X165
| X167 = X166 ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',sos_49) ).
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/sandbox/solver/bin/../tmp/theBenchmark.p',sos_22) ).
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/sandbox/solver/bin/../tmp/theBenchmark.p',sos_25) ).
fof(sos_07,axiom,
! [X17,X18] :
( occurrence_of(X17,X18)
=> ( arboreal(X17)
<=> atomic(X18) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',sos_07) ).
fof(sos_37,axiom,
! [X114,X115,X116] :
( ( occurrence_of(X114,X116)
& leaf_occ(X115,X114) )
=> ~ ? [X117] : min_precedes(X115,X117,X116) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',sos_37) ).
fof(sos_55,axiom,
atomic(tptp3),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',sos_55) ).
fof(sos_29,axiom,
! [X84,X85,X86,X87] :
( ( min_precedes(X84,X85,X86)
& occurrence_of(X87,X86)
& subactivity_occurrence(X85,X87) )
=> subactivity_occurrence(X84,X87) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',sos_29) ).
fof(sos_02,axiom,
! [X5,X6,X7] :
( ( occurrence_of(X5,X6)
& occurrence_of(X5,X7) )
=> X6 = X7 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',sos_02) ).
fof(sos_56,axiom,
tptp4 != tptp3,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',sos_56) ).
fof(sos_60,axiom,
tptp3 != tptp2,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',sos_60) ).
fof(sos_59,axiom,
tptp3 != tptp1,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',sos_59) ).
fof(c_0_12,negated_conjecture,
~ ! [X168,X169] :
( ( occurrence_of(X169,tptp0)
& subactivity_occurrence(X168,X169)
& arboreal(X168)
& ~ leaf_occ(X168,X169) )
=> ? [X170,X171] :
( occurrence_of(X170,tptp3)
& next_subocc(X168,X170,tptp0)
& ( occurrence_of(X171,tptp1)
| occurrence_of(X171,tptp2) )
& min_precedes(X170,X171,tptp0)
& leaf_occ(X171,X169)
& ( occurrence_of(X171,tptp1)
=> ~ ? [X172] :
( occurrence_of(X172,tptp2)
& min_precedes(X170,X172,tptp0) ) )
& ( occurrence_of(X171,tptp2)
=> ~ ? [X173] :
( occurrence_of(X173,tptp1)
& min_precedes(X170,X173,tptp0) ) ) ) ),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_13,plain,
! [X168,X169,X173] :
( ( occurrence_of(esk5_1(X168),tptp3)
| ~ occurrence_of(X169,tptp0)
| ~ subactivity_occurrence(X168,X169)
| ~ arboreal(X168)
| leaf_occ(X168,X169) )
& ( next_subocc(X168,esk5_1(X168),tptp0)
| ~ occurrence_of(X169,tptp0)
| ~ subactivity_occurrence(X168,X169)
| ~ arboreal(X168)
| leaf_occ(X168,X169) )
& ( occurrence_of(esk6_1(X168),tptp4)
| ~ occurrence_of(X169,tptp0)
| ~ subactivity_occurrence(X168,X169)
| ~ arboreal(X168)
| leaf_occ(X168,X169) )
& ( min_precedes(esk5_1(X168),esk6_1(X168),tptp0)
| ~ occurrence_of(X169,tptp0)
| ~ subactivity_occurrence(X168,X169)
| ~ arboreal(X168)
| leaf_occ(X168,X169) )
& ( occurrence_of(esk7_1(X168),tptp1)
| occurrence_of(esk7_1(X168),tptp2)
| ~ occurrence_of(X169,tptp0)
| ~ subactivity_occurrence(X168,X169)
| ~ arboreal(X168)
| leaf_occ(X168,X169) )
& ( min_precedes(esk6_1(X168),esk7_1(X168),tptp0)
| ~ occurrence_of(X169,tptp0)
| ~ subactivity_occurrence(X168,X169)
| ~ arboreal(X168)
| leaf_occ(X168,X169) )
& ( ~ min_precedes(esk5_1(X168),X173,tptp0)
| X173 = esk6_1(X168)
| X173 = esk7_1(X168)
| ~ occurrence_of(X169,tptp0)
| ~ subactivity_occurrence(X168,X169)
| ~ arboreal(X168)
| leaf_occ(X168,X169) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[sos_49])])])])])])])]) ).
fof(c_0_14,negated_conjecture,
! [X176,X177] :
( occurrence_of(esk2_0,tptp0)
& subactivity_occurrence(esk1_0,esk2_0)
& arboreal(esk1_0)
& ~ leaf_occ(esk1_0,esk2_0)
& ( occurrence_of(X177,tptp2)
| occurrence_of(X177,tptp1)
| ~ occurrence_of(X177,tptp1)
| ~ occurrence_of(X176,tptp3)
| ~ next_subocc(esk1_0,X176,tptp0)
| ~ min_precedes(X176,X177,tptp0)
| ~ leaf_occ(X177,esk2_0) )
& ( occurrence_of(esk4_2(X176,X177),tptp1)
| occurrence_of(X177,tptp1)
| ~ occurrence_of(X177,tptp1)
| ~ occurrence_of(X176,tptp3)
| ~ next_subocc(esk1_0,X176,tptp0)
| ~ min_precedes(X176,X177,tptp0)
| ~ leaf_occ(X177,esk2_0) )
& ( min_precedes(X176,esk4_2(X176,X177),tptp0)
| occurrence_of(X177,tptp1)
| ~ occurrence_of(X177,tptp1)
| ~ occurrence_of(X176,tptp3)
| ~ next_subocc(esk1_0,X176,tptp0)
| ~ min_precedes(X176,X177,tptp0)
| ~ leaf_occ(X177,esk2_0) )
& ( occurrence_of(X177,tptp2)
| occurrence_of(esk3_2(X176,X177),tptp2)
| ~ occurrence_of(X177,tptp1)
| ~ occurrence_of(X176,tptp3)
| ~ next_subocc(esk1_0,X176,tptp0)
| ~ min_precedes(X176,X177,tptp0)
| ~ leaf_occ(X177,esk2_0) )
& ( occurrence_of(esk4_2(X176,X177),tptp1)
| occurrence_of(esk3_2(X176,X177),tptp2)
| ~ occurrence_of(X177,tptp1)
| ~ occurrence_of(X176,tptp3)
| ~ next_subocc(esk1_0,X176,tptp0)
| ~ min_precedes(X176,X177,tptp0)
| ~ leaf_occ(X177,esk2_0) )
& ( min_precedes(X176,esk4_2(X176,X177),tptp0)
| occurrence_of(esk3_2(X176,X177),tptp2)
| ~ occurrence_of(X177,tptp1)
| ~ occurrence_of(X176,tptp3)
| ~ next_subocc(esk1_0,X176,tptp0)
| ~ min_precedes(X176,X177,tptp0)
| ~ leaf_occ(X177,esk2_0) )
& ( occurrence_of(X177,tptp2)
| min_precedes(X176,esk3_2(X176,X177),tptp0)
| ~ occurrence_of(X177,tptp1)
| ~ occurrence_of(X176,tptp3)
| ~ next_subocc(esk1_0,X176,tptp0)
| ~ min_precedes(X176,X177,tptp0)
| ~ leaf_occ(X177,esk2_0) )
& ( occurrence_of(esk4_2(X176,X177),tptp1)
| min_precedes(X176,esk3_2(X176,X177),tptp0)
| ~ occurrence_of(X177,tptp1)
| ~ occurrence_of(X176,tptp3)
| ~ next_subocc(esk1_0,X176,tptp0)
| ~ min_precedes(X176,X177,tptp0)
| ~ leaf_occ(X177,esk2_0) )
& ( min_precedes(X176,esk4_2(X176,X177),tptp0)
| min_precedes(X176,esk3_2(X176,X177),tptp0)
| ~ occurrence_of(X177,tptp1)
| ~ occurrence_of(X176,tptp3)
| ~ next_subocc(esk1_0,X176,tptp0)
| ~ min_precedes(X176,X177,tptp0)
| ~ leaf_occ(X177,esk2_0) )
& ( occurrence_of(X177,tptp2)
| occurrence_of(X177,tptp1)
| ~ occurrence_of(X177,tptp2)
| ~ occurrence_of(X176,tptp3)
| ~ next_subocc(esk1_0,X176,tptp0)
| ~ min_precedes(X176,X177,tptp0)
| ~ leaf_occ(X177,esk2_0) )
& ( occurrence_of(esk4_2(X176,X177),tptp1)
| occurrence_of(X177,tptp1)
| ~ occurrence_of(X177,tptp2)
| ~ occurrence_of(X176,tptp3)
| ~ next_subocc(esk1_0,X176,tptp0)
| ~ min_precedes(X176,X177,tptp0)
| ~ leaf_occ(X177,esk2_0) )
& ( min_precedes(X176,esk4_2(X176,X177),tptp0)
| occurrence_of(X177,tptp1)
| ~ occurrence_of(X177,tptp2)
| ~ occurrence_of(X176,tptp3)
| ~ next_subocc(esk1_0,X176,tptp0)
| ~ min_precedes(X176,X177,tptp0)
| ~ leaf_occ(X177,esk2_0) )
& ( occurrence_of(X177,tptp2)
| occurrence_of(esk3_2(X176,X177),tptp2)
| ~ occurrence_of(X177,tptp2)
| ~ occurrence_of(X176,tptp3)
| ~ next_subocc(esk1_0,X176,tptp0)
| ~ min_precedes(X176,X177,tptp0)
| ~ leaf_occ(X177,esk2_0) )
& ( occurrence_of(esk4_2(X176,X177),tptp1)
| occurrence_of(esk3_2(X176,X177),tptp2)
| ~ occurrence_of(X177,tptp2)
| ~ occurrence_of(X176,tptp3)
| ~ next_subocc(esk1_0,X176,tptp0)
| ~ min_precedes(X176,X177,tptp0)
| ~ leaf_occ(X177,esk2_0) )
& ( min_precedes(X176,esk4_2(X176,X177),tptp0)
| occurrence_of(esk3_2(X176,X177),tptp2)
| ~ occurrence_of(X177,tptp2)
| ~ occurrence_of(X176,tptp3)
| ~ next_subocc(esk1_0,X176,tptp0)
| ~ min_precedes(X176,X177,tptp0)
| ~ leaf_occ(X177,esk2_0) )
& ( occurrence_of(X177,tptp2)
| min_precedes(X176,esk3_2(X176,X177),tptp0)
| ~ occurrence_of(X177,tptp2)
| ~ occurrence_of(X176,tptp3)
| ~ next_subocc(esk1_0,X176,tptp0)
| ~ min_precedes(X176,X177,tptp0)
| ~ leaf_occ(X177,esk2_0) )
& ( occurrence_of(esk4_2(X176,X177),tptp1)
| min_precedes(X176,esk3_2(X176,X177),tptp0)
| ~ occurrence_of(X177,tptp2)
| ~ occurrence_of(X176,tptp3)
| ~ next_subocc(esk1_0,X176,tptp0)
| ~ min_precedes(X176,X177,tptp0)
| ~ leaf_occ(X177,esk2_0) )
& ( min_precedes(X176,esk4_2(X176,X177),tptp0)
| min_precedes(X176,esk3_2(X176,X177),tptp0)
| ~ occurrence_of(X177,tptp2)
| ~ occurrence_of(X176,tptp3)
| ~ next_subocc(esk1_0,X176,tptp0)
| ~ min_precedes(X176,X177,tptp0)
| ~ leaf_occ(X177,esk2_0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_12])])])])])])])]) ).
cnf(c_0_15,plain,
( leaf_occ(X1,X2)
| next_subocc(X1,esk5_1(X1),tptp0)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X2)
| ~ occurrence_of(X2,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_16,negated_conjecture,
occurrence_of(esk2_0,tptp0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_17,plain,
! [X65,X66,X67,X68,X65,X66,X67] :
( ( min_precedes(X65,X66,X67)
| ~ next_subocc(X65,X66,X67) )
& ( ~ min_precedes(X65,X68,X67)
| ~ min_precedes(X68,X66,X67)
| ~ next_subocc(X65,X66,X67) )
& ( min_precedes(X65,esk8_3(X65,X66,X67),X67)
| ~ min_precedes(X65,X66,X67)
| next_subocc(X65,X66,X67) )
& ( min_precedes(esk8_3(X65,X66,X67),X66,X67)
| ~ min_precedes(X65,X66,X67)
| next_subocc(X65,X66,X67) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_22])])])])])])]) ).
cnf(c_0_18,negated_conjecture,
( leaf_occ(X1,esk2_0)
| next_subocc(X1,esk5_1(X1),tptp0)
| ~ subactivity_occurrence(X1,esk2_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,negated_conjecture,
subactivity_occurrence(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,negated_conjecture,
arboreal(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21,negated_conjecture,
~ leaf_occ(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_22,plain,
! [X74,X75,X76] :
( ( occurrence_of(esk9_3(X74,X75,X76),X74)
| ~ min_precedes(X75,X76,X74) )
& ( subactivity_occurrence(X75,esk9_3(X74,X75,X76))
| ~ min_precedes(X75,X76,X74) )
& ( subactivity_occurrence(X76,esk9_3(X74,X75,X76))
| ~ min_precedes(X75,X76,X74) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_25])])])])])]) ).
cnf(c_0_23,plain,
( min_precedes(X1,X2,X3)
| ~ next_subocc(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,negated_conjecture,
next_subocc(esk1_0,esk5_1(esk1_0),tptp0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]),c_0_21]) ).
cnf(c_0_25,plain,
( leaf_occ(X1,X2)
| occurrence_of(esk5_1(X1),tptp3)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X2)
| ~ occurrence_of(X2,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_26,plain,
( leaf_occ(X1,X2)
| min_precedes(esk5_1(X1),esk6_1(X1),tptp0)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X2)
| ~ occurrence_of(X2,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_27,plain,
( occurrence_of(esk9_3(X3,X1,X2),X3)
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_28,negated_conjecture,
min_precedes(esk1_0,esk5_1(esk1_0),tptp0),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
fof(c_0_29,plain,
! [X19,X20] :
( ( ~ arboreal(X19)
| atomic(X20)
| ~ occurrence_of(X19,X20) )
& ( ~ atomic(X20)
| arboreal(X19)
| ~ occurrence_of(X19,X20) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_07])])]) ).
cnf(c_0_30,negated_conjecture,
( leaf_occ(X1,esk2_0)
| occurrence_of(esk5_1(X1),tptp3)
| ~ subactivity_occurrence(X1,esk2_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_16]) ).
fof(c_0_31,plain,
! [X118,X119,X120,X121] :
( ~ occurrence_of(X118,X120)
| ~ leaf_occ(X119,X118)
| ~ min_precedes(X119,X121,X120) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_37])])])])]) ).
cnf(c_0_32,negated_conjecture,
( leaf_occ(X1,esk2_0)
| min_precedes(esk5_1(X1),esk6_1(X1),tptp0)
| ~ subactivity_occurrence(X1,esk2_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_16]) ).
cnf(c_0_33,negated_conjecture,
occurrence_of(esk9_3(tptp0,esk1_0,esk5_1(esk1_0)),tptp0),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_34,plain,
( subactivity_occurrence(X2,esk9_3(X3,X1,X2))
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_35,plain,
( arboreal(X1)
| ~ occurrence_of(X1,X2)
| ~ atomic(X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_36,negated_conjecture,
occurrence_of(esk5_1(esk1_0),tptp3),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_19]),c_0_20])]),c_0_21]) ).
cnf(c_0_37,plain,
atomic(tptp3),
inference(split_conjunct,[status(thm)],[sos_55]) ).
cnf(c_0_38,plain,
( leaf_occ(X1,X2)
| min_precedes(esk6_1(X1),esk7_1(X1),tptp0)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X2)
| ~ occurrence_of(X2,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_39,plain,
( ~ min_precedes(X1,X2,X3)
| ~ leaf_occ(X1,X4)
| ~ occurrence_of(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_40,negated_conjecture,
min_precedes(esk5_1(esk1_0),esk6_1(esk1_0),tptp0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_19]),c_0_20])]),c_0_21]) ).
cnf(c_0_41,negated_conjecture,
( leaf_occ(X1,esk9_3(tptp0,esk1_0,esk5_1(esk1_0)))
| next_subocc(X1,esk5_1(X1),tptp0)
| ~ subactivity_occurrence(X1,esk9_3(tptp0,esk1_0,esk5_1(esk1_0)))
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_33]) ).
cnf(c_0_42,negated_conjecture,
subactivity_occurrence(esk5_1(esk1_0),esk9_3(tptp0,esk1_0,esk5_1(esk1_0))),
inference(spm,[status(thm)],[c_0_34,c_0_28]) ).
cnf(c_0_43,negated_conjecture,
arboreal(esk5_1(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37])]) ).
fof(c_0_44,plain,
! [X88,X89,X90,X91] :
( ~ min_precedes(X88,X89,X90)
| ~ occurrence_of(X91,X90)
| ~ subactivity_occurrence(X89,X91)
| subactivity_occurrence(X88,X91) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_29])]) ).
cnf(c_0_45,negated_conjecture,
( leaf_occ(X1,esk2_0)
| min_precedes(esk6_1(X1),esk7_1(X1),tptp0)
| ~ subactivity_occurrence(X1,esk2_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_16]) ).
cnf(c_0_46,negated_conjecture,
( ~ leaf_occ(esk5_1(esk1_0),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_47,negated_conjecture,
( leaf_occ(esk5_1(esk1_0),esk9_3(tptp0,esk1_0,esk5_1(esk1_0)))
| next_subocc(esk5_1(esk1_0),esk5_1(esk5_1(esk1_0)),tptp0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43])]) ).
cnf(c_0_48,plain,
( subactivity_occurrence(X1,X2)
| ~ subactivity_occurrence(X3,X2)
| ~ occurrence_of(X2,X4)
| ~ min_precedes(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_49,plain,
( subactivity_occurrence(X1,esk9_3(X3,X1,X2))
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_50,negated_conjecture,
min_precedes(esk6_1(esk1_0),esk7_1(esk1_0),tptp0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_19]),c_0_20])]),c_0_21]) ).
cnf(c_0_51,negated_conjecture,
next_subocc(esk5_1(esk1_0),esk5_1(esk5_1(esk1_0)),tptp0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_33])]) ).
cnf(c_0_52,negated_conjecture,
( subactivity_occurrence(esk5_1(esk1_0),X1)
| ~ subactivity_occurrence(esk6_1(esk1_0),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_48,c_0_40]) ).
cnf(c_0_53,negated_conjecture,
subactivity_occurrence(esk6_1(esk1_0),esk9_3(tptp0,esk6_1(esk1_0),esk7_1(esk1_0))),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_54,negated_conjecture,
occurrence_of(esk9_3(tptp0,esk6_1(esk1_0),esk7_1(esk1_0)),tptp0),
inference(spm,[status(thm)],[c_0_27,c_0_50]) ).
cnf(c_0_55,plain,
( leaf_occ(X1,X2)
| occurrence_of(esk7_1(X1),tptp2)
| occurrence_of(esk7_1(X1),tptp1)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X2)
| ~ occurrence_of(X2,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_56,plain,
( leaf_occ(X1,X2)
| X3 = esk7_1(X1)
| X3 = esk6_1(X1)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ min_precedes(esk5_1(X1),X3,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_57,negated_conjecture,
min_precedes(esk5_1(esk1_0),esk5_1(esk5_1(esk1_0)),tptp0),
inference(spm,[status(thm)],[c_0_23,c_0_51]) ).
cnf(c_0_58,negated_conjecture,
( ~ leaf_occ(esk1_0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_39,c_0_28]) ).
cnf(c_0_59,negated_conjecture,
( subactivity_occurrence(esk1_0,X1)
| ~ subactivity_occurrence(esk5_1(esk1_0),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_48,c_0_28]) ).
cnf(c_0_60,negated_conjecture,
subactivity_occurrence(esk5_1(esk1_0),esk9_3(tptp0,esk6_1(esk1_0),esk7_1(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54])]) ).
cnf(c_0_61,negated_conjecture,
( leaf_occ(X1,esk9_3(tptp0,esk1_0,esk5_1(esk1_0)))
| occurrence_of(esk5_1(X1),tptp3)
| ~ subactivity_occurrence(X1,esk9_3(tptp0,esk1_0,esk5_1(esk1_0)))
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_33]) ).
cnf(c_0_62,plain,
( leaf_occ(X1,X2)
| occurrence_of(esk6_1(X1),tptp4)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X2)
| ~ occurrence_of(X2,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_63,negated_conjecture,
( leaf_occ(X1,esk2_0)
| occurrence_of(esk7_1(X1),tptp1)
| occurrence_of(esk7_1(X1),tptp2)
| ~ subactivity_occurrence(X1,esk2_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_16]) ).
cnf(c_0_64,negated_conjecture,
( esk6_1(esk1_0) = esk5_1(esk5_1(esk1_0))
| esk7_1(esk1_0) = esk5_1(esk5_1(esk1_0))
| ~ subactivity_occurrence(esk1_0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_20])]),c_0_58]) ).
cnf(c_0_65,negated_conjecture,
subactivity_occurrence(esk1_0,esk9_3(tptp0,esk6_1(esk1_0),esk7_1(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_54])]) ).
fof(c_0_66,plain,
! [X8,X9,X10] :
( ~ occurrence_of(X8,X9)
| ~ occurrence_of(X8,X10)
| X9 = X10 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_02])]) ).
cnf(c_0_67,negated_conjecture,
( leaf_occ(esk5_1(esk1_0),esk9_3(tptp0,esk1_0,esk5_1(esk1_0)))
| occurrence_of(esk5_1(esk5_1(esk1_0)),tptp3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_42]),c_0_43])]) ).
cnf(c_0_68,negated_conjecture,
( leaf_occ(X1,esk2_0)
| occurrence_of(esk6_1(X1),tptp4)
| ~ subactivity_occurrence(X1,esk2_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_16]) ).
cnf(c_0_69,negated_conjecture,
( occurrence_of(esk7_1(esk1_0),tptp2)
| occurrence_of(esk7_1(esk1_0),tptp1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_19]),c_0_20])]),c_0_21]) ).
cnf(c_0_70,negated_conjecture,
( esk7_1(esk1_0) = esk5_1(esk5_1(esk1_0))
| esk6_1(esk1_0) = esk5_1(esk5_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_54])]) ).
cnf(c_0_71,plain,
( X1 = X2
| ~ occurrence_of(X3,X2)
| ~ occurrence_of(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_72,negated_conjecture,
occurrence_of(esk5_1(esk5_1(esk1_0)),tptp3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_67]),c_0_33])]) ).
cnf(c_0_73,negated_conjecture,
occurrence_of(esk6_1(esk1_0),tptp4),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_19]),c_0_20])]),c_0_21]) ).
cnf(c_0_74,negated_conjecture,
( esk6_1(esk1_0) = esk5_1(esk5_1(esk1_0))
| occurrence_of(esk5_1(esk5_1(esk1_0)),tptp1)
| occurrence_of(esk5_1(esk5_1(esk1_0)),tptp2) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_75,negated_conjecture,
( X1 = tptp3
| ~ occurrence_of(esk5_1(esk5_1(esk1_0)),X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_76,negated_conjecture,
( occurrence_of(esk5_1(esk5_1(esk1_0)),tptp2)
| occurrence_of(esk5_1(esk5_1(esk1_0)),tptp1)
| occurrence_of(esk5_1(esk5_1(esk1_0)),tptp4) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_77,plain,
tptp4 != tptp3,
inference(split_conjunct,[status(thm)],[sos_56]) ).
cnf(c_0_78,negated_conjecture,
( occurrence_of(esk5_1(esk5_1(esk1_0)),tptp1)
| occurrence_of(esk5_1(esk5_1(esk1_0)),tptp2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77]) ).
cnf(c_0_79,plain,
tptp3 != tptp2,
inference(split_conjunct,[status(thm)],[sos_60]) ).
cnf(c_0_80,negated_conjecture,
occurrence_of(esk5_1(esk5_1(esk1_0)),tptp1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_78]),c_0_79]) ).
cnf(c_0_81,plain,
tptp3 != tptp1,
inference(split_conjunct,[status(thm)],[sos_59]) ).
cnf(c_0_82,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_80]),c_0_81]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PRO018+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 13 03:16:48 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.23/1.42 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.23/1.42 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.23/1.42 # Preprocessing time : 0.018 s
% 0.23/1.42
% 0.23/1.42 # Proof found!
% 0.23/1.42 # SZS status Theorem
% 0.23/1.42 # SZS output start CNFRefutation
% See solution above
% 0.23/1.42 # Proof object total steps : 83
% 0.23/1.42 # Proof object clause steps : 62
% 0.23/1.42 # Proof object formula steps : 21
% 0.23/1.42 # Proof object conjectures : 46
% 0.23/1.42 # Proof object clause conjectures : 43
% 0.23/1.42 # Proof object formula conjectures : 3
% 0.23/1.42 # Proof object initial clauses used : 23
% 0.23/1.42 # Proof object initial formulas used : 12
% 0.23/1.42 # Proof object generating inferences : 39
% 0.23/1.42 # Proof object simplifying inferences : 40
% 0.23/1.42 # Training examples: 0 positive, 0 negative
% 0.23/1.42 # Parsed axioms : 63
% 0.23/1.42 # Removed by relevancy pruning/SinE : 33
% 0.23/1.42 # Initial clauses : 64
% 0.23/1.42 # Removed in clause preprocessing : 6
% 0.23/1.42 # Initial clauses in saturation : 58
% 0.23/1.42 # Processed clauses : 266
% 0.23/1.42 # ...of these trivial : 2
% 0.23/1.42 # ...subsumed : 25
% 0.23/1.42 # ...remaining for further processing : 239
% 0.23/1.42 # Other redundant clauses eliminated : 0
% 0.23/1.42 # Clauses deleted for lack of memory : 0
% 0.23/1.42 # Backward-subsumed : 4
% 0.23/1.42 # Backward-rewritten : 11
% 0.23/1.42 # Generated clauses : 565
% 0.23/1.42 # ...of the previous two non-trivial : 489
% 0.23/1.42 # Contextual simplify-reflections : 13
% 0.23/1.42 # Paramodulations : 565
% 0.23/1.42 # Factorizations : 0
% 0.23/1.42 # Equation resolutions : 0
% 0.23/1.42 # Current number of processed clauses : 224
% 0.23/1.42 # Positive orientable unit clauses : 36
% 0.23/1.42 # Positive unorientable unit clauses: 0
% 0.23/1.42 # Negative unit clauses : 13
% 0.23/1.42 # Non-unit-clauses : 175
% 0.23/1.42 # Current number of unprocessed clauses: 225
% 0.23/1.42 # ...number of literals in the above : 925
% 0.23/1.42 # Current number of archived formulas : 0
% 0.23/1.42 # Current number of archived clauses : 15
% 0.23/1.42 # Clause-clause subsumption calls (NU) : 7216
% 0.23/1.42 # Rec. Clause-clause subsumption calls : 2469
% 0.23/1.42 # Non-unit clause-clause subsumptions : 26
% 0.23/1.42 # Unit Clause-clause subsumption calls : 340
% 0.23/1.42 # Rewrite failures with RHS unbound : 0
% 0.23/1.42 # BW rewrite match attempts : 4
% 0.23/1.42 # BW rewrite match successes : 4
% 0.23/1.42 # Condensation attempts : 0
% 0.23/1.42 # Condensation successes : 0
% 0.23/1.42 # Termbank termtop insertions : 18781
% 0.23/1.42
% 0.23/1.42 # -------------------------------------------------
% 0.23/1.42 # User time : 0.038 s
% 0.23/1.42 # System time : 0.005 s
% 0.23/1.42 # Total time : 0.043 s
% 0.23/1.42 # Maximum resident set size: 4024 pages
% 0.23/23.41 eprover: CPU time limit exceeded, terminating
% 0.23/23.42 eprover: CPU time limit exceeded, terminating
% 0.23/23.42 eprover: CPU time limit exceeded, terminating
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48 eprover: No such file or directory
%------------------------------------------------------------------------------