%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : PRO010+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n014.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 17:44:59 EDT 2022
% Result : Theorem 0.21s 1.40s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 45 ( 10 unt; 0 def)
% Number of atoms : 167 ( 8 equ)
% Maximal formula atoms : 28 ( 3 avg)
% Number of connectives : 192 ( 70 ~; 69 |; 39 &)
% ( 6 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 5 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-2 aty)
% Number of variables : 70 ( 9 sgn 31 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goals,conjecture,
! [X110] :
( occurrence_of(X110,tptp0)
=> ? [X111,X112] :
( leaf_occ(X112,X110)
& ( occurrence_of(X112,tptp1)
=> ~ ? [X113] :
( occurrence_of(X113,tptp2)
& min_precedes(X111,X113,tptp0) ) )
& ( occurrence_of(X112,tptp2)
=> ~ ? [X114] :
( occurrence_of(X114,tptp1)
& min_precedes(X111,X114,tptp0) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',goals) ).
fof(sos_02,axiom,
! [X5,X6,X7] :
( ( occurrence_of(X5,X6)
& occurrence_of(X5,X7) )
=> X6 = X7 ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_02) ).
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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_34) ).
fof(sos_21,axiom,
! [X57,X58] :
( leaf(X57,X58)
<=> ( ( root(X57,X58)
| ? [X59] : min_precedes(X59,X57,X58) )
& ~ ? [X60] : min_precedes(X57,X60,X58) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_21) ).
fof(sos_35,axiom,
! [X106] :
( occurrence_of(X106,tptp0)
=> ? [X107,X108,X109] :
( occurrence_of(X107,tptp3)
& root_occ(X107,X106)
& occurrence_of(X108,tptp4)
& next_subocc(X107,X108,tptp0)
& ( occurrence_of(X109,tptp1)
| occurrence_of(X109,tptp2) )
& next_subocc(X108,X109,tptp0)
& leaf_occ(X109,X106) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_35) ).
fof(sos_47,axiom,
tptp1 != tptp2,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_47) ).
fof(c_0_6,negated_conjecture,
~ ! [X110] :
( occurrence_of(X110,tptp0)
=> ? [X111,X112] :
( leaf_occ(X112,X110)
& ( occurrence_of(X112,tptp1)
=> ~ ? [X113] :
( occurrence_of(X113,tptp2)
& min_precedes(X111,X113,tptp0) ) )
& ( occurrence_of(X112,tptp2)
=> ~ ? [X114] :
( occurrence_of(X114,tptp1)
& min_precedes(X111,X114,tptp0) ) ) ) ),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_7,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_8,negated_conjecture,
! [X116,X117] :
( occurrence_of(esk19_0,tptp0)
& ( occurrence_of(X117,tptp2)
| occurrence_of(X117,tptp1)
| ~ leaf_occ(X117,esk19_0) )
& ( occurrence_of(esk21_2(X116,X117),tptp1)
| occurrence_of(X117,tptp1)
| ~ leaf_occ(X117,esk19_0) )
& ( min_precedes(X116,esk21_2(X116,X117),tptp0)
| occurrence_of(X117,tptp1)
| ~ leaf_occ(X117,esk19_0) )
& ( occurrence_of(X117,tptp2)
| occurrence_of(esk20_2(X116,X117),tptp2)
| ~ leaf_occ(X117,esk19_0) )
& ( occurrence_of(esk21_2(X116,X117),tptp1)
| occurrence_of(esk20_2(X116,X117),tptp2)
| ~ leaf_occ(X117,esk19_0) )
& ( min_precedes(X116,esk21_2(X116,X117),tptp0)
| occurrence_of(esk20_2(X116,X117),tptp2)
| ~ leaf_occ(X117,esk19_0) )
& ( occurrence_of(X117,tptp2)
| min_precedes(X116,esk20_2(X116,X117),tptp0)
| ~ leaf_occ(X117,esk19_0) )
& ( occurrence_of(esk21_2(X116,X117),tptp1)
| min_precedes(X116,esk20_2(X116,X117),tptp0)
| ~ leaf_occ(X117,esk19_0) )
& ( min_precedes(X116,esk21_2(X116,X117),tptp0)
| min_precedes(X116,esk20_2(X116,X117),tptp0)
| ~ leaf_occ(X117,esk19_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)],[c_0_6])])])])])])]) ).
cnf(c_0_9,plain,
( X1 = X2
| ~ occurrence_of(X3,X2)
| ~ occurrence_of(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,negated_conjecture,
occurrence_of(esk19_0,tptp0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_11,plain,
! [X106,X107,X106,X107,X109] :
( ( occurrence_of(X107,esk15_2(X106,X107))
| ~ leaf_occ(X106,X107) )
& ( subactivity_occurrence(X106,X107)
| ~ leaf_occ(X106,X107) )
& ( leaf(X106,esk15_2(X106,X107))
| ~ leaf_occ(X106,X107) )
& ( ~ occurrence_of(X107,X109)
| ~ subactivity_occurrence(X106,X107)
| ~ leaf(X106,X109)
| leaf_occ(X106,X107) ) ),
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_34])])])])])])]) ).
cnf(c_0_12,negated_conjecture,
( X1 = tptp0
| ~ occurrence_of(esk19_0,X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,plain,
( occurrence_of(X2,esk15_2(X1,X2))
| ~ leaf_occ(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_14,plain,
( ~ epred2_0
<=> ! [X1] : ~ leaf(X1,tptp0) ),
introduced(definition) ).
cnf(c_0_15,plain,
( leaf(X1,esk15_2(X1,X2))
| ~ leaf_occ(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,negated_conjecture,
( esk15_2(X1,esk19_0) = tptp0
| ~ leaf_occ(X1,esk19_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
fof(c_0_17,plain,
( ~ epred4_0
<=> ! [X1] : ~ leaf(X1,tptp0) ),
introduced(definition) ).
fof(c_0_18,plain,
! [X61,X62,X64,X61,X62,X65] :
( ( root(X61,X62)
| min_precedes(esk6_2(X61,X62),X61,X62)
| ~ leaf(X61,X62) )
& ( ~ min_precedes(X61,X64,X62)
| ~ leaf(X61,X62) )
& ( ~ root(X61,X62)
| min_precedes(X61,esk7_2(X61,X62),X62)
| leaf(X61,X62) )
& ( ~ min_precedes(X65,X61,X62)
| min_precedes(X61,esk7_2(X61,X62),X62)
| leaf(X61,X62) ) ),
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_21])])])])])])]) ).
cnf(c_0_19,negated_conjecture,
( epred2_0
| ~ leaf(X1,tptp0) ),
inference(split_equiv,[status(thm)],[c_0_14]) ).
cnf(c_0_20,negated_conjecture,
( leaf(X1,tptp0)
| ~ leaf_occ(X1,esk19_0) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
fof(c_0_21,plain,
! [X110] :
( ( occurrence_of(esk16_1(X110),tptp3)
| ~ occurrence_of(X110,tptp0) )
& ( root_occ(esk16_1(X110),X110)
| ~ occurrence_of(X110,tptp0) )
& ( occurrence_of(esk17_1(X110),tptp4)
| ~ occurrence_of(X110,tptp0) )
& ( next_subocc(esk16_1(X110),esk17_1(X110),tptp0)
| ~ occurrence_of(X110,tptp0) )
& ( occurrence_of(esk18_1(X110),tptp1)
| occurrence_of(esk18_1(X110),tptp2)
| ~ occurrence_of(X110,tptp0) )
& ( next_subocc(esk17_1(X110),esk18_1(X110),tptp0)
| ~ occurrence_of(X110,tptp0) )
& ( leaf_occ(esk18_1(X110),X110)
| ~ occurrence_of(X110,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_35])])])])])]) ).
cnf(c_0_22,negated_conjecture,
( epred4_0
| ~ leaf(X1,tptp0) ),
inference(split_equiv,[status(thm)],[c_0_17]) ).
fof(c_0_23,plain,
( ~ epred1_0
<=> ! [X2] :
( occurrence_of(X2,tptp1)
| ~ leaf_occ(X2,esk19_0) ) ),
introduced(definition) ).
cnf(c_0_24,plain,
( ~ leaf(X1,X2)
| ~ min_precedes(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,negated_conjecture,
( occurrence_of(X1,tptp1)
| min_precedes(X2,esk21_2(X2,X1),tptp0)
| ~ leaf_occ(X1,esk19_0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_26,negated_conjecture,
( epred2_0
| ~ leaf_occ(X1,esk19_0) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_27,plain,
( leaf_occ(esk18_1(X1),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_28,plain,
( ~ epred3_0
<=> ! [X2] :
( occurrence_of(X2,tptp2)
| ~ leaf_occ(X2,esk19_0) ) ),
introduced(definition) ).
cnf(c_0_29,negated_conjecture,
( min_precedes(X2,esk20_2(X2,X1),tptp0)
| occurrence_of(X1,tptp2)
| ~ leaf_occ(X1,esk19_0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_30,negated_conjecture,
( epred4_0
| ~ leaf_occ(X1,esk19_0) ),
inference(spm,[status(thm)],[c_0_22,c_0_20]) ).
cnf(c_0_31,negated_conjecture,
( epred1_0
| occurrence_of(X1,tptp1)
| ~ leaf_occ(X1,esk19_0) ),
inference(split_equiv,[status(thm)],[c_0_23]) ).
cnf(c_0_32,negated_conjecture,
( ~ epred2_0
| ~ epred1_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_23]),c_0_14]) ).
cnf(c_0_33,negated_conjecture,
epred2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_10])]) ).
cnf(c_0_34,negated_conjecture,
( ~ epred4_0
| ~ epred3_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_29]),c_0_28]),c_0_17]) ).
cnf(c_0_35,negated_conjecture,
epred4_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_27]),c_0_10])]) ).
cnf(c_0_36,negated_conjecture,
( epred1_0
| occurrence_of(esk18_1(esk19_0),tptp1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_27]),c_0_10])]) ).
cnf(c_0_37,negated_conjecture,
~ epred1_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_33])]) ).
cnf(c_0_38,negated_conjecture,
~ epred3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_35])]) ).
cnf(c_0_39,negated_conjecture,
occurrence_of(esk18_1(esk19_0),tptp1),
inference(sr,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_40,negated_conjecture,
( occurrence_of(X1,tptp2)
| ~ leaf_occ(X1,esk19_0) ),
inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_28]),c_0_38]) ).
cnf(c_0_41,negated_conjecture,
( X1 = tptp1
| ~ occurrence_of(esk18_1(esk19_0),X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_39]) ).
cnf(c_0_42,negated_conjecture,
occurrence_of(esk18_1(esk19_0),tptp2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_27]),c_0_10])]) ).
cnf(c_0_43,plain,
tptp1 != tptp2,
inference(split_conjunct,[status(thm)],[sos_47]) ).
cnf(c_0_44,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11 % Problem : PRO010+1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.12 % Command : run_ET %s %d
% 0.11/0.32 % Computer : n014.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Mon Jun 13 03:45:52 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.21/1.40 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.21/1.40 # Preprocessing time : 0.018 s
% 0.21/1.40
% 0.21/1.40 # Proof found!
% 0.21/1.40 # SZS status Theorem
% 0.21/1.40 # SZS output start CNFRefutation
% See solution above
% 0.21/1.40 # Proof object total steps : 45
% 0.21/1.40 # Proof object clause steps : 29
% 0.21/1.40 # Proof object formula steps : 16
% 0.21/1.40 # Proof object conjectures : 26
% 0.21/1.40 # Proof object clause conjectures : 23
% 0.21/1.40 # Proof object formula conjectures : 3
% 0.21/1.40 # Proof object initial clauses used : 12
% 0.21/1.40 # Proof object initial formulas used : 6
% 0.21/1.40 # Proof object generating inferences : 13
% 0.21/1.40 # Proof object simplifying inferences : 19
% 0.21/1.40 # Training examples: 0 positive, 0 negative
% 0.21/1.40 # Parsed axioms : 49
% 0.21/1.40 # Removed by relevancy pruning/SinE : 0
% 0.21/1.40 # Initial clauses : 95
% 0.21/1.40 # Removed in clause preprocessing : 0
% 0.21/1.40 # Initial clauses in saturation : 95
% 0.21/1.40 # Processed clauses : 203
% 0.21/1.40 # ...of these trivial : 3
% 0.21/1.40 # ...subsumed : 21
% 0.21/1.40 # ...remaining for further processing : 179
% 0.21/1.40 # Other redundant clauses eliminated : 0
% 0.21/1.40 # Clauses deleted for lack of memory : 0
% 0.21/1.40 # Backward-subsumed : 8
% 0.21/1.40 # Backward-rewritten : 15
% 0.21/1.40 # Generated clauses : 389
% 0.21/1.40 # ...of the previous two non-trivial : 336
% 0.21/1.40 # Contextual simplify-reflections : 8
% 0.21/1.40 # Paramodulations : 382
% 0.21/1.40 # Factorizations : 0
% 0.21/1.40 # Equation resolutions : 0
% 0.21/1.40 # Current number of processed clauses : 153
% 0.21/1.40 # Positive orientable unit clauses : 23
% 0.21/1.40 # Positive unorientable unit clauses: 0
% 0.21/1.40 # Negative unit clauses : 10
% 0.21/1.40 # Non-unit-clauses : 120
% 0.21/1.40 # Current number of unprocessed clauses: 197
% 0.21/1.40 # ...number of literals in the above : 699
% 0.21/1.40 # Current number of archived formulas : 0
% 0.21/1.40 # Current number of archived clauses : 24
% 0.21/1.40 # Clause-clause subsumption calls (NU) : 4187
% 0.21/1.40 # Rec. Clause-clause subsumption calls : 2937
% 0.21/1.40 # Non-unit clause-clause subsumptions : 28
% 0.21/1.40 # Unit Clause-clause subsumption calls : 450
% 0.21/1.40 # Rewrite failures with RHS unbound : 0
% 0.21/1.40 # BW rewrite match attempts : 8
% 0.21/1.40 # BW rewrite match successes : 8
% 0.21/1.40 # Condensation attempts : 0
% 0.21/1.40 # Condensation successes : 0
% 0.21/1.40 # Termbank termtop insertions : 9790
% 0.21/1.40
% 0.21/1.40 # -------------------------------------------------
% 0.21/1.40 # User time : 0.026 s
% 0.21/1.40 # System time : 0.006 s
% 0.21/1.40 # Total time : 0.032 s
% 0.21/1.40 # Maximum resident set size: 3704 pages
% 0.21/23.39 eprover: CPU time limit exceeded, terminating
% 0.21/23.41 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.41 eprover: No such file or directory
% 0.21/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.42 eprover: No such file or directory
% 0.21/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.42 eprover: No such file or directory
% 0.21/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.43 eprover: No such file or directory
% 0.21/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.43 eprover: No such file or directory
% 0.21/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.44 eprover: No such file or directory
% 0.21/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.44 eprover: No such file or directory
% 0.21/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.45 eprover: No such file or directory
% 0.21/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.46 eprover: No such file or directory
% 0.21/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.46 eprover: No such file or directory
% 0.21/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.47 eprover: No such file or directory
%------------------------------------------------------------------------------