TSTP Solution File: ITP006+4 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : ITP006+4 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n021.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 : Sat Jul 16 22:45:46 EDT 2022
% Result : Theorem 1.07s 26.24s
% Output : CNFRefutation 1.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 5 unt; 0 def)
% Number of atoms : 50 ( 10 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 43 ( 13 ~; 17 |; 4 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-4 aty)
% Number of variables : 55 ( 9 sgn 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thm_2EquantHeuristics_2EGUESS__RULES__WEAKEN__FORALL__POINT,conjecture,
! [X1,X2,X98,X50,X69] :
( ! [X23] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X69),s(X1,X23))))
=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X50),s(X1,X23)))) )
=> ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X2,X1),X98),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X50))))
=> p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X2,X1),X98),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X69)))) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',thm_2EquantHeuristics_2EGUESS__RULES__WEAKEN__FORALL__POINT) ).
fof(thm_2EquantHeuristics_2EGUESS__FORALL__POINT__def,axiom,
! [X1,X2,X98,X50] :
( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X2),X98),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X50))))
<=> ! [X824] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X50),s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X98),s(X1,X824)))))) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',thm_2EquantHeuristics_2EGUESS__FORALL__POINT__def) ).
fof(reserved_2Eho_2Eboolext,axiom,
! [X6,X7] :
( ( p(s(tyop_2Emin_2Ebool,X6))
<=> p(s(tyop_2Emin_2Ebool,X7)) )
=> s(tyop_2Emin_2Ebool,X6) = s(tyop_2Emin_2Ebool,X7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP002+4.ax',reserved_2Eho_2Eboolext) ).
fof(c_0_3,negated_conjecture,
~ ! [X1,X2,X98,X50,X69] :
( ! [X23] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X69),s(X1,X23))))
=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X50),s(X1,X23)))) )
=> ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X2,X1),X98),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X50))))
=> p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X2,X1),X98),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X69)))) ) ),
inference(assume_negation,[status(cth)],[thm_2EquantHeuristics_2EGUESS__RULES__WEAKEN__FORALL__POINT]) ).
fof(c_0_4,plain,
! [X825,X826,X827,X828,X829,X825,X826,X827,X828] :
( ( ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X825,X826),X827),s(tyop_2Emin_2Efun(X826,tyop_2Emin_2Ebool),X828))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X826,tyop_2Emin_2Ebool),X828),s(X826,app_2E2(s(tyop_2Emin_2Efun(X825,X826),X827),s(X825,X829)))))) )
& ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X826,tyop_2Emin_2Ebool),X828),s(X826,app_2E2(s(tyop_2Emin_2Efun(X825,X826),X827),s(X825,esk83_4(X825,X826,X827,X828)))))))
| p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X825,X826),X827),s(tyop_2Emin_2Efun(X826,tyop_2Emin_2Ebool),X828)))) ) ),
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)],[thm_2EquantHeuristics_2EGUESS__FORALL__POINT__def])])])])])])]) ).
fof(c_0_5,plain,
! [X8,X9] :
( ( ~ p(s(tyop_2Emin_2Ebool,X8))
| ~ p(s(tyop_2Emin_2Ebool,X9))
| s(tyop_2Emin_2Ebool,X8) = s(tyop_2Emin_2Ebool,X9) )
& ( p(s(tyop_2Emin_2Ebool,X8))
| p(s(tyop_2Emin_2Ebool,X9))
| s(tyop_2Emin_2Ebool,X8) = s(tyop_2Emin_2Ebool,X9) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reserved_2Eho_2Eboolext])])]) ).
fof(c_0_6,negated_conjecture,
! [X104] :
( ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool),esk5_0),s(esk1_0,X104))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool),esk4_0),s(esk1_0,X104)))) )
& p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(esk2_0,esk1_0),esk3_0),s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool),esk4_0))))
& ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(esk2_0,esk1_0),esk3_0),s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool),esk5_0)))) ),
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_3])])])])])]) ).
cnf(c_0_7,plain,
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,app_2E2(s(tyop_2Emin_2Efun(X3,X1),X4),s(X3,X5))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X3,X1),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2)))) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X2)
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(esk2_0,esk1_0),esk3_0),s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool),esk5_0)))),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X3),s(X2,app_2E2(s(tyop_2Emin_2Efun(X4,X2),X5),s(X4,X6)))))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X4,X2),X5),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X3)))) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,negated_conjecture,
p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(esk2_0,esk1_0),esk3_0),s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool),esk4_0)))),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,negated_conjecture,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool),esk4_0),s(esk1_0,X1))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool),esk5_0),s(esk1_0,X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_13,negated_conjecture,
( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(esk2_0,esk1_0),esk3_0),s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool),esk5_0)))
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(spm,[status(thm)],[c_0_9,c_0_8]) ).
cnf(c_0_14,negated_conjecture,
( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool),esk4_0),s(esk1_0,app_2E2(s(tyop_2Emin_2Efun(esk2_0,esk1_0),esk3_0),s(esk2_0,X2)))))
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,negated_conjecture,
( s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool),esk5_0),s(esk1_0,X1))) = s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(esk2_0,esk1_0),esk3_0),s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool),esk5_0)))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool),esk4_0),s(esk1_0,X1)))) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool),esk4_0),s(esk1_0,app_2E2(s(tyop_2Emin_2Efun(esk2_0,esk1_0),esk3_0),s(esk2_0,X1))))) = s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(esk2_0,esk1_0),esk3_0),s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool),esk5_0))),
inference(spm,[status(thm)],[c_0_9,c_0_14]) ).
cnf(c_0_17,plain,
( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X2),X3),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X4))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X4),s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X3),s(X1,esk83_4(X1,X2,X3,X4))))))) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_18,negated_conjecture,
s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool),esk5_0),s(esk1_0,app_2E2(s(tyop_2Emin_2Efun(esk2_0,esk1_0),esk3_0),s(esk2_0,X1))))) = s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(esk2_0,esk1_0),esk3_0),s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool),esk5_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_9]) ).
cnf(c_0_19,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_9]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ITP006+4 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.10/0.13 % Command : run_ET %s %d
% 0.14/0.34 % Computer : n021.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Thu Jun 2 18:21:02 EDT 2022
% 0.14/0.34 % CPUTime :
% 1.06/24.08 eprover: CPU time limit exceeded, terminating
% 1.06/24.08 eprover: CPU time limit exceeded, terminating
% 1.06/24.09 eprover: CPU time limit exceeded, terminating
% 1.06/24.09 eprover: CPU time limit exceeded, terminating
% 1.07/26.24 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 1.07/26.24
% 1.07/26.24 # Failure: Resource limit exceeded (time)
% 1.07/26.24 # OLD status Res
% 1.07/26.24 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 1.07/26.24 # Preprocessing time : 0.472 s
% 1.07/26.24 # Running protocol protocol_eprover_230b6c199cce1dcf6700db59e75a93feb83d1bd9 for 23 seconds:
% 1.07/26.24 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,01,20000,1.0)
% 1.07/26.24 # Preprocessing time : 0.458 s
% 1.07/26.24
% 1.07/26.24 # Proof found!
% 1.07/26.24 # SZS status Theorem
% 1.07/26.24 # SZS output start CNFRefutation
% See solution above
% 1.07/26.24 # Proof object total steps : 20
% 1.07/26.24 # Proof object clause steps : 13
% 1.07/26.24 # Proof object formula steps : 7
% 1.07/26.24 # Proof object conjectures : 12
% 1.07/26.24 # Proof object clause conjectures : 9
% 1.07/26.24 # Proof object formula conjectures : 3
% 1.07/26.24 # Proof object initial clauses used : 6
% 1.07/26.24 # Proof object initial formulas used : 3
% 1.07/26.24 # Proof object generating inferences : 7
% 1.07/26.24 # Proof object simplifying inferences : 2
% 1.07/26.24 # Training examples: 0 positive, 0 negative
% 1.07/26.24 # Parsed axioms : 5653
% 1.07/26.24 # Removed by relevancy pruning/SinE : 5459
% 1.07/26.24 # Initial clauses : 893
% 1.07/26.24 # Removed in clause preprocessing : 618
% 1.07/26.24 # Initial clauses in saturation : 275
% 1.07/26.24 # Processed clauses : 528
% 1.07/26.24 # ...of these trivial : 0
% 1.07/26.24 # ...subsumed : 301
% 1.07/26.24 # ...remaining for further processing : 227
% 1.07/26.24 # Other redundant clauses eliminated : 0
% 1.07/26.24 # Clauses deleted for lack of memory : 0
% 1.07/26.24 # Backward-subsumed : 0
% 1.07/26.24 # Backward-rewritten : 1
% 1.07/26.24 # Generated clauses : 18972
% 1.07/26.24 # ...of the previous two non-trivial : 18033
% 1.07/26.24 # Contextual simplify-reflections : 100
% 1.07/26.24 # Paramodulations : 18897
% 1.07/26.24 # Factorizations : 38
% 1.07/26.24 # Equation resolutions : 37
% 1.07/26.24 # Current number of processed clauses : 226
% 1.07/26.24 # Positive orientable unit clauses : 5
% 1.07/26.24 # Positive unorientable unit clauses: 0
% 1.07/26.24 # Negative unit clauses : 1
% 1.07/26.24 # Non-unit-clauses : 220
% 1.07/26.24 # Current number of unprocessed clauses: 16998
% 1.07/26.24 # ...number of literals in the above : 98945
% 1.07/26.24 # Current number of archived formulas : 0
% 1.07/26.24 # Current number of archived clauses : 1
% 1.07/26.24 # Clause-clause subsumption calls (NU) : 95288
% 1.07/26.24 # Rec. Clause-clause subsumption calls : 13007
% 1.07/26.24 # Non-unit clause-clause subsumptions : 400
% 1.07/26.24 # Unit Clause-clause subsumption calls : 106
% 1.07/26.24 # Rewrite failures with RHS unbound : 0
% 1.07/26.24 # BW rewrite match attempts : 571
% 1.07/26.24 # BW rewrite match successes : 1
% 1.07/26.24 # Condensation attempts : 0
% 1.07/26.24 # Condensation successes : 0
% 1.07/26.24 # Termbank termtop insertions : 2793493
% 1.07/26.24
% 1.07/26.24 # -------------------------------------------------
% 1.07/26.24 # User time : 1.997 s
% 1.07/26.24 # System time : 0.032 s
% 1.07/26.24 # Total time : 2.029 s
% 1.07/26.24 # Maximum resident set size: 35712 pages
%------------------------------------------------------------------------------