TSTP Solution File: PRO006+3 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : PRO006+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n010.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 17:44:56 EDT 2022
% Result : Theorem 0.23s 1.42s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 13
% Syntax : Number of formulae : 88 ( 19 unt; 0 def)
% Number of atoms : 270 ( 22 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 294 ( 112 ~; 134 |; 37 &)
% ( 3 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 138 ( 9 sgn 64 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goals,conjecture,
~ ? [X168] : occurrence_of(X168,tptp0),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',goals) ).
fof(sos_49,axiom,
! [X162] :
( occurrence_of(X162,tptp0)
=> ? [X163,X164] :
( occurrence_of(X163,tptp4)
& root_occ(X163,X162)
& occurrence_of(X164,tptp3)
& leaf_occ(X164,X162)
& next_subocc(X163,X164,tptp0) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',sos_49) ).
fof(sos_62,axiom,
! [X165,X166] :
( ( occurrence_of(X166,tptp0)
& subactivity_occurrence(X165,X166)
& arboreal(X165)
& ~ leaf_occ(X165,X166) )
=> ? [X167] :
( occurrence_of(X167,tptp1)
& next_subocc(X165,X167,tptp0) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',sos_62) ).
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/sandbox/solver/bin/../tmp/theBenchmark.p',sos_33) ).
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_52,axiom,
atomic(tptp4),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',sos_52) ).
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_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_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_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/sandbox/solver/bin/../tmp/theBenchmark.p',sos_48) ).
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/sandbox/solver/bin/../tmp/theBenchmark.p',sos_35) ).
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_59,axiom,
tptp1 != tptp3,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',sos_59) ).
fof(c_0_13,negated_conjecture,
~ ~ ? [X168] : occurrence_of(X168,tptp0),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_14,plain,
! [X165] :
( ( occurrence_of(esk2_1(X165),tptp4)
| ~ occurrence_of(X165,tptp0) )
& ( root_occ(esk2_1(X165),X165)
| ~ occurrence_of(X165,tptp0) )
& ( occurrence_of(esk3_1(X165),tptp3)
| ~ occurrence_of(X165,tptp0) )
& ( leaf_occ(esk3_1(X165),X165)
| ~ occurrence_of(X165,tptp0) )
& ( next_subocc(esk2_1(X165),esk3_1(X165),tptp0)
| ~ occurrence_of(X165,tptp0) ) ),
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_49])])])])])]) ).
fof(c_0_15,negated_conjecture,
occurrence_of(esk1_0,tptp0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).
fof(c_0_16,plain,
! [X168,X169] :
( ( occurrence_of(esk4_1(X168),tptp1)
| ~ occurrence_of(X169,tptp0)
| ~ subactivity_occurrence(X168,X169)
| ~ arboreal(X168)
| leaf_occ(X168,X169) )
& ( next_subocc(X168,esk4_1(X168),tptp0)
| ~ 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_62])])])])])])])]) ).
fof(c_0_17,plain,
! [X103,X104,X103,X104,X106] :
( ( occurrence_of(X104,esk6_2(X103,X104))
| ~ root_occ(X103,X104) )
& ( subactivity_occurrence(X103,X104)
| ~ root_occ(X103,X104) )
& ( root(X103,esk6_2(X103,X104))
| ~ root_occ(X103,X104) )
& ( ~ occurrence_of(X104,X106)
| ~ subactivity_occurrence(X103,X104)
| ~ root(X103,X106)
| root_occ(X103,X104) ) ),
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_33])])])])])])]) ).
cnf(c_0_18,plain,
( root_occ(esk2_1(X1),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,negated_conjecture,
occurrence_of(esk1_0,tptp0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_20,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_21,plain,
( occurrence_of(esk2_1(X1),tptp4)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,plain,
( leaf_occ(X1,X2)
| next_subocc(X1,esk4_1(X1),tptp0)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X2)
| ~ occurrence_of(X2,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,plain,
( subactivity_occurrence(X1,X2)
| ~ root_occ(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,negated_conjecture,
root_occ(esk2_1(esk1_0),esk1_0),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_25,plain,
( arboreal(X1)
| ~ occurrence_of(X1,X2)
| ~ atomic(X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_26,negated_conjecture,
occurrence_of(esk2_1(esk1_0),tptp4),
inference(spm,[status(thm)],[c_0_21,c_0_19]) ).
cnf(c_0_27,plain,
atomic(tptp4),
inference(split_conjunct,[status(thm)],[sos_52]) ).
fof(c_0_28,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,esk5_3(X65,X66,X67),X67)
| ~ min_precedes(X65,X66,X67)
| next_subocc(X65,X66,X67) )
& ( min_precedes(esk5_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_29,negated_conjecture,
( leaf_occ(X1,esk1_0)
| next_subocc(X1,esk4_1(X1),tptp0)
| ~ subactivity_occurrence(X1,esk1_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_19]) ).
cnf(c_0_30,negated_conjecture,
subactivity_occurrence(esk2_1(esk1_0),esk1_0),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_31,negated_conjecture,
arboreal(esk2_1(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27])]) ).
fof(c_0_32,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])]) ).
fof(c_0_33,plain,
! [X74,X75,X76] :
( ( occurrence_of(esk7_3(X74,X75,X76),X74)
| ~ min_precedes(X75,X76,X74) )
& ( subactivity_occurrence(X75,esk7_3(X74,X75,X76))
| ~ min_precedes(X75,X76,X74) )
& ( subactivity_occurrence(X76,esk7_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_34,plain,
( min_precedes(X1,X2,X3)
| ~ next_subocc(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_35,negated_conjecture,
( leaf_occ(esk2_1(esk1_0),esk1_0)
| next_subocc(esk2_1(esk1_0),esk4_1(esk2_1(esk1_0)),tptp0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]) ).
cnf(c_0_36,plain,
( X1 = X2
| ~ occurrence_of(X3,X2)
| ~ occurrence_of(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_37,plain,
( occurrence_of(X2,esk6_2(X1,X2))
| ~ root_occ(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_38,plain,
( subactivity_occurrence(X1,esk7_3(X3,X1,X2))
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_39,negated_conjecture,
( leaf_occ(esk2_1(esk1_0),esk1_0)
| min_precedes(esk2_1(esk1_0),esk4_1(esk2_1(esk1_0)),tptp0) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_40,negated_conjecture,
( X1 = tptp0
| ~ occurrence_of(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_19]) ).
cnf(c_0_41,negated_conjecture,
occurrence_of(esk1_0,esk6_2(esk2_1(esk1_0),esk1_0)),
inference(spm,[status(thm)],[c_0_37,c_0_24]) ).
fof(c_0_42,plain,
! [X162,X163,X164,X165,X166] :
( ~ occurrence_of(X163,X162)
| ~ root_occ(X165,X163)
| ~ leaf_occ(X166,X163)
| ~ subactivity_occurrence(X164,X163)
| ~ min_precedes(X165,X164,X162)
| X164 = X166
| min_precedes(X164,X166,X162) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_48])]) ).
cnf(c_0_43,plain,
( root_occ(X1,X2)
| ~ root(X1,X3)
| ~ subactivity_occurrence(X1,X2)
| ~ occurrence_of(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_44,negated_conjecture,
( leaf_occ(esk2_1(esk1_0),esk1_0)
| subactivity_occurrence(esk2_1(esk1_0),esk7_3(tptp0,esk2_1(esk1_0),esk4_1(esk2_1(esk1_0)))) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_45,plain,
( occurrence_of(esk7_3(X3,X1,X2),X3)
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_46,plain,
( root(X1,esk6_2(X1,X2))
| ~ root_occ(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_47,negated_conjecture,
esk6_2(esk2_1(esk1_0),esk1_0) = tptp0,
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_48,plain,
( min_precedes(X1,X2,X3)
| X1 = X2
| ~ min_precedes(X4,X1,X3)
| ~ subactivity_occurrence(X1,X5)
| ~ leaf_occ(X2,X5)
| ~ root_occ(X4,X5)
| ~ occurrence_of(X5,X3) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_49,plain,
( subactivity_occurrence(X2,esk7_3(X3,X1,X2))
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_50,negated_conjecture,
( leaf_occ(esk2_1(esk1_0),esk1_0)
| root_occ(esk2_1(esk1_0),esk7_3(tptp0,esk2_1(esk1_0),esk4_1(esk2_1(esk1_0))))
| ~ root(esk2_1(esk1_0),X1)
| ~ occurrence_of(esk7_3(tptp0,esk2_1(esk1_0),esk4_1(esk2_1(esk1_0))),X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_51,negated_conjecture,
( leaf_occ(esk2_1(esk1_0),esk1_0)
| occurrence_of(esk7_3(tptp0,esk2_1(esk1_0),esk4_1(esk2_1(esk1_0))),tptp0) ),
inference(spm,[status(thm)],[c_0_45,c_0_39]) ).
cnf(c_0_52,negated_conjecture,
root(esk2_1(esk1_0),tptp0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_24]),c_0_47]) ).
fof(c_0_53,plain,
! [X110,X111,X112,X113] :
( ~ occurrence_of(X112,X113)
| ~ root_occ(X110,X112)
| ~ root_occ(X111,X112)
| X110 = X111 ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_35])])])]) ).
cnf(c_0_54,plain,
( next_subocc(esk2_1(X1),esk3_1(X1),tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_55,negated_conjecture,
( esk4_1(esk2_1(esk1_0)) = X1
| leaf_occ(esk2_1(esk1_0),esk1_0)
| min_precedes(esk4_1(esk2_1(esk1_0)),X1,tptp0)
| ~ leaf_occ(X1,X2)
| ~ root_occ(esk2_1(esk1_0),X2)
| ~ subactivity_occurrence(esk4_1(esk2_1(esk1_0)),X2)
| ~ occurrence_of(X2,tptp0) ),
inference(spm,[status(thm)],[c_0_48,c_0_39]) ).
cnf(c_0_56,negated_conjecture,
( leaf_occ(esk2_1(esk1_0),esk1_0)
| subactivity_occurrence(esk4_1(esk2_1(esk1_0)),esk7_3(tptp0,esk2_1(esk1_0),esk4_1(esk2_1(esk1_0)))) ),
inference(spm,[status(thm)],[c_0_49,c_0_39]) ).
cnf(c_0_57,negated_conjecture,
( leaf_occ(esk2_1(esk1_0),esk1_0)
| root_occ(esk2_1(esk1_0),esk7_3(tptp0,esk2_1(esk1_0),esk4_1(esk2_1(esk1_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52])]) ).
cnf(c_0_58,plain,
( leaf_occ(esk3_1(X1),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_59,plain,
( X1 = X2
| ~ root_occ(X2,X3)
| ~ root_occ(X1,X3)
| ~ occurrence_of(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_60,negated_conjecture,
( leaf_occ(esk2_1(esk1_0),esk1_0)
| root_occ(esk2_1(esk7_3(tptp0,esk2_1(esk1_0),esk4_1(esk2_1(esk1_0)))),esk7_3(tptp0,esk2_1(esk1_0),esk4_1(esk2_1(esk1_0)))) ),
inference(spm,[status(thm)],[c_0_18,c_0_51]) ).
cnf(c_0_61,plain,
( ~ next_subocc(X1,X2,X3)
| ~ min_precedes(X4,X2,X3)
| ~ min_precedes(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_62,negated_conjecture,
( leaf_occ(esk2_1(esk1_0),esk1_0)
| next_subocc(esk2_1(esk7_3(tptp0,esk2_1(esk1_0),esk4_1(esk2_1(esk1_0)))),esk3_1(esk7_3(tptp0,esk2_1(esk1_0),esk4_1(esk2_1(esk1_0)))),tptp0) ),
inference(spm,[status(thm)],[c_0_54,c_0_51]) ).
cnf(c_0_63,negated_conjecture,
( esk4_1(esk2_1(esk1_0)) = X1
| leaf_occ(esk2_1(esk1_0),esk1_0)
| min_precedes(esk4_1(esk2_1(esk1_0)),X1,tptp0)
| ~ leaf_occ(X1,esk7_3(tptp0,esk2_1(esk1_0),esk4_1(esk2_1(esk1_0)))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_51]),c_0_57]) ).
cnf(c_0_64,negated_conjecture,
( leaf_occ(esk3_1(esk7_3(tptp0,esk2_1(esk1_0),esk4_1(esk2_1(esk1_0)))),esk7_3(tptp0,esk2_1(esk1_0),esk4_1(esk2_1(esk1_0))))
| leaf_occ(esk2_1(esk1_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_58,c_0_51]) ).
cnf(c_0_65,negated_conjecture,
( X1 = esk2_1(esk7_3(tptp0,esk2_1(esk1_0),esk4_1(esk2_1(esk1_0))))
| leaf_occ(esk2_1(esk1_0),esk1_0)
| ~ root_occ(X1,esk7_3(tptp0,esk2_1(esk1_0),esk4_1(esk2_1(esk1_0))))
| ~ occurrence_of(esk7_3(tptp0,esk2_1(esk1_0),esk4_1(esk2_1(esk1_0))),X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_66,plain,
( leaf_occ(X1,X2)
| occurrence_of(esk4_1(X1),tptp1)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X2)
| ~ occurrence_of(X2,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_67,negated_conjecture,
( leaf_occ(esk2_1(esk1_0),esk1_0)
| ~ min_precedes(X1,esk3_1(esk7_3(tptp0,esk2_1(esk1_0),esk4_1(esk2_1(esk1_0)))),tptp0)
| ~ min_precedes(esk2_1(esk7_3(tptp0,esk2_1(esk1_0),esk4_1(esk2_1(esk1_0)))),X1,tptp0) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_68,negated_conjecture,
( esk3_1(esk7_3(tptp0,esk2_1(esk1_0),esk4_1(esk2_1(esk1_0)))) = esk4_1(esk2_1(esk1_0))
| leaf_occ(esk2_1(esk1_0),esk1_0)
| min_precedes(esk4_1(esk2_1(esk1_0)),esk3_1(esk7_3(tptp0,esk2_1(esk1_0),esk4_1(esk2_1(esk1_0)))),tptp0) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_69,negated_conjecture,
( esk2_1(esk7_3(tptp0,esk2_1(esk1_0),esk4_1(esk2_1(esk1_0)))) = esk2_1(esk1_0)
| leaf_occ(esk2_1(esk1_0),esk1_0)
| ~ occurrence_of(esk7_3(tptp0,esk2_1(esk1_0),esk4_1(esk2_1(esk1_0))),X1) ),
inference(spm,[status(thm)],[c_0_65,c_0_57]) ).
cnf(c_0_70,negated_conjecture,
( leaf_occ(esk2_1(esk1_0),esk1_0)
| occurrence_of(esk7_3(tptp0,esk2_1(esk1_0),esk4_1(esk2_1(esk1_0))),esk6_2(esk2_1(esk7_3(tptp0,esk2_1(esk1_0),esk4_1(esk2_1(esk1_0)))),esk7_3(tptp0,esk2_1(esk1_0),esk4_1(esk2_1(esk1_0))))) ),
inference(spm,[status(thm)],[c_0_37,c_0_60]) ).
cnf(c_0_71,negated_conjecture,
( leaf_occ(X1,esk1_0)
| occurrence_of(esk4_1(X1),tptp1)
| ~ subactivity_occurrence(X1,esk1_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_66,c_0_19]) ).
cnf(c_0_72,plain,
( occurrence_of(esk3_1(X1),tptp3)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_73,negated_conjecture,
( esk3_1(esk7_3(tptp0,esk2_1(esk1_0),esk4_1(esk2_1(esk1_0)))) = esk4_1(esk2_1(esk1_0))
| leaf_occ(esk2_1(esk1_0),esk1_0)
| ~ min_precedes(esk2_1(esk7_3(tptp0,esk2_1(esk1_0),esk4_1(esk2_1(esk1_0)))),esk4_1(esk2_1(esk1_0)),tptp0) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_74,negated_conjecture,
( esk2_1(esk7_3(tptp0,esk2_1(esk1_0),esk4_1(esk2_1(esk1_0)))) = esk2_1(esk1_0)
| leaf_occ(esk2_1(esk1_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
fof(c_0_75,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_76,negated_conjecture,
next_subocc(esk2_1(esk1_0),esk3_1(esk1_0),tptp0),
inference(spm,[status(thm)],[c_0_54,c_0_19]) ).
cnf(c_0_77,negated_conjecture,
( leaf_occ(esk2_1(esk1_0),esk1_0)
| occurrence_of(esk4_1(esk2_1(esk1_0)),tptp1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_30]),c_0_31])]) ).
cnf(c_0_78,negated_conjecture,
( leaf_occ(esk2_1(esk1_0),esk1_0)
| occurrence_of(esk3_1(esk7_3(tptp0,esk2_1(esk1_0),esk4_1(esk2_1(esk1_0)))),tptp3) ),
inference(spm,[status(thm)],[c_0_72,c_0_51]) ).
cnf(c_0_79,negated_conjecture,
( esk3_1(esk7_3(tptp0,esk2_1(esk1_0),esk4_1(esk2_1(esk1_0)))) = esk4_1(esk2_1(esk1_0))
| leaf_occ(esk2_1(esk1_0),esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_39]) ).
cnf(c_0_80,plain,
( ~ min_precedes(X1,X2,X3)
| ~ leaf_occ(X1,X4)
| ~ occurrence_of(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_81,negated_conjecture,
min_precedes(esk2_1(esk1_0),esk3_1(esk1_0),tptp0),
inference(spm,[status(thm)],[c_0_34,c_0_76]) ).
cnf(c_0_82,negated_conjecture,
( X1 = tptp1
| leaf_occ(esk2_1(esk1_0),esk1_0)
| ~ occurrence_of(esk4_1(esk2_1(esk1_0)),X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_77]) ).
cnf(c_0_83,negated_conjecture,
( leaf_occ(esk2_1(esk1_0),esk1_0)
| occurrence_of(esk4_1(esk2_1(esk1_0)),tptp3) ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_84,plain,
tptp1 != tptp3,
inference(split_conjunct,[status(thm)],[sos_59]) ).
cnf(c_0_85,negated_conjecture,
( ~ leaf_occ(esk2_1(esk1_0),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_86,negated_conjecture,
leaf_occ(esk2_1(esk1_0),esk1_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84]) ).
cnf(c_0_87,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_19])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PRO006+3 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n010.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 01:27:10 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 : 88
% 0.23/1.42 # Proof object clause steps : 63
% 0.23/1.42 # Proof object formula steps : 25
% 0.23/1.42 # Proof object conjectures : 43
% 0.23/1.42 # Proof object clause conjectures : 40
% 0.23/1.42 # Proof object formula conjectures : 3
% 0.23/1.42 # Proof object initial clauses used : 24
% 0.23/1.42 # Proof object initial formulas used : 13
% 0.23/1.42 # Proof object generating inferences : 39
% 0.23/1.42 # Proof object simplifying inferences : 15
% 0.23/1.42 # Training examples: 0 positive, 0 negative
% 0.23/1.42 # Parsed axioms : 64
% 0.23/1.42 # Removed by relevancy pruning/SinE : 32
% 0.23/1.42 # Initial clauses : 47
% 0.23/1.42 # Removed in clause preprocessing : 0
% 0.23/1.42 # Initial clauses in saturation : 47
% 0.23/1.42 # Processed clauses : 707
% 0.23/1.42 # ...of these trivial : 1
% 0.23/1.42 # ...subsumed : 265
% 0.23/1.42 # ...remaining for further processing : 441
% 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 : 38
% 0.23/1.42 # Backward-rewritten : 241
% 0.23/1.42 # Generated clauses : 1144
% 0.23/1.42 # ...of the previous two non-trivial : 1108
% 0.23/1.42 # Contextual simplify-reflections : 150
% 0.23/1.42 # Paramodulations : 1144
% 0.23/1.42 # Factorizations : 0
% 0.23/1.42 # Equation resolutions : 0
% 0.23/1.42 # Current number of processed clauses : 162
% 0.23/1.42 # Positive orientable unit clauses : 24
% 0.23/1.42 # Positive unorientable unit clauses: 0
% 0.23/1.42 # Negative unit clauses : 7
% 0.23/1.42 # Non-unit-clauses : 131
% 0.23/1.42 # Current number of unprocessed clauses: 52
% 0.23/1.42 # ...number of literals in the above : 206
% 0.23/1.42 # Current number of archived formulas : 0
% 0.23/1.42 # Current number of archived clauses : 279
% 0.23/1.42 # Clause-clause subsumption calls (NU) : 36582
% 0.23/1.42 # Rec. Clause-clause subsumption calls : 19302
% 0.23/1.42 # Non-unit clause-clause subsumptions : 414
% 0.23/1.42 # Unit Clause-clause subsumption calls : 264
% 0.23/1.42 # Rewrite failures with RHS unbound : 0
% 0.23/1.42 # BW rewrite match attempts : 40
% 0.23/1.42 # BW rewrite match successes : 12
% 0.23/1.42 # Condensation attempts : 0
% 0.23/1.42 # Condensation successes : 0
% 0.23/1.42 # Termbank termtop insertions : 41223
% 0.23/1.42
% 0.23/1.42 # -------------------------------------------------
% 0.23/1.42 # User time : 0.124 s
% 0.23/1.42 # System time : 0.001 s
% 0.23/1.42 # Total time : 0.125 s
% 0.23/1.42 # Maximum resident set size: 4504 pages
% 0.23/23.41 eprover: CPU time limit exceeded, terminating
% 0.23/23.41 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.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
% 0.23/23.44 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: eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 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: 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
% 0.23/23.45 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.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
% 0.23/23.46 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
% 0.23/23.46 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
% 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
%------------------------------------------------------------------------------