%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : ITP019+2 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n022.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 22:46:03 EDT 2022
% Result : Theorem 0.25s 1.42s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 5 unt; 0 def)
% Number of atoms : 29 ( 19 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 33 ( 16 ~; 8 |; 3 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_thm_2Ecomplex_2ECOMPLEX__INV__NZ,conjecture,
! [X14] :
( mem(X14,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
=> ( X14 != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)
=> ap(c_2Ecomplex_2Ecomplex__inv,X14) != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_thm_2Ecomplex_2ECOMPLEX__INV__NZ) ).
fof(conj_thm_2Ecomplex_2ECOMPLEX__INV__EQ__0,axiom,
! [X14] :
( mem(X14,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
=> ( ap(c_2Ecomplex_2Ecomplex__inv,X14) = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)
<=> X14 = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_thm_2Ecomplex_2ECOMPLEX__INV__EQ__0) ).
fof(c_0_2,negated_conjecture,
~ ! [X14] :
( mem(X14,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
=> ( X14 != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)
=> ap(c_2Ecomplex_2Ecomplex__inv,X14) != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) ) ),
inference(assume_negation,[status(cth)],[conj_thm_2Ecomplex_2ECOMPLEX__INV__NZ]) ).
fof(c_0_3,plain,
! [X15] :
( ( ap(c_2Ecomplex_2Ecomplex__inv,X15) != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)
| X15 = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)
| ~ mem(X15,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) )
& ( X15 != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)
| ap(c_2Ecomplex_2Ecomplex__inv,X15) = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)
| ~ mem(X15,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Ecomplex_2ECOMPLEX__INV__EQ__0])])]) ).
fof(c_0_4,negated_conjecture,
( mem(esk1_0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
& esk1_0 != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)
& ap(c_2Ecomplex_2Ecomplex__inv,esk1_0) = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).
cnf(c_0_5,plain,
( X1 = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)
| ~ mem(X1,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
| ap(c_2Ecomplex_2Ecomplex__inv,X1) != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
ap(c_2Ecomplex_2Ecomplex__inv,esk1_0) = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
esk1_0 != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
( X1 = ap(c_2Ecomplex_2Ecomplex__inv,esk1_0)
| ap(c_2Ecomplex_2Ecomplex__inv,X1) != ap(c_2Ecomplex_2Ecomplex__inv,esk1_0)
| ~ mem(X1,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_6]),c_0_6]) ).
cnf(c_0_9,negated_conjecture,
mem(esk1_0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,negated_conjecture,
ap(c_2Ecomplex_2Ecomplex__inv,esk1_0) != esk1_0,
inference(rw,[status(thm)],[c_0_7,c_0_6]) ).
cnf(c_0_11,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP019+2 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.14/0.34 % Computer : n022.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 : Fri Jun 3 11:21:51 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.25/1.42 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.25/1.42 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.25/1.42 # Preprocessing time : 0.016 s
% 0.25/1.42
% 0.25/1.42 # Proof found!
% 0.25/1.42 # SZS status Theorem
% 0.25/1.42 # SZS output start CNFRefutation
% See solution above
% 0.25/1.42 # Proof object total steps : 12
% 0.25/1.42 # Proof object clause steps : 7
% 0.25/1.42 # Proof object formula steps : 5
% 0.25/1.42 # Proof object conjectures : 8
% 0.25/1.42 # Proof object clause conjectures : 5
% 0.25/1.42 # Proof object formula conjectures : 3
% 0.25/1.42 # Proof object initial clauses used : 4
% 0.25/1.42 # Proof object initial formulas used : 2
% 0.25/1.42 # Proof object generating inferences : 1
% 0.25/1.42 # Proof object simplifying inferences : 4
% 0.25/1.42 # Training examples: 0 positive, 0 negative
% 0.25/1.42 # Parsed axioms : 33
% 0.25/1.42 # Removed by relevancy pruning/SinE : 18
% 0.25/1.42 # Initial clauses : 23
% 0.25/1.42 # Removed in clause preprocessing : 3
% 0.25/1.42 # Initial clauses in saturation : 20
% 0.25/1.42 # Processed clauses : 22
% 0.25/1.42 # ...of these trivial : 0
% 0.25/1.42 # ...subsumed : 0
% 0.25/1.42 # ...remaining for further processing : 21
% 0.25/1.42 # Other redundant clauses eliminated : 0
% 0.25/1.42 # Clauses deleted for lack of memory : 0
% 0.25/1.42 # Backward-subsumed : 0
% 0.25/1.42 # Backward-rewritten : 1
% 0.25/1.42 # Generated clauses : 12
% 0.25/1.42 # ...of the previous two non-trivial : 12
% 0.25/1.42 # Contextual simplify-reflections : 0
% 0.25/1.42 # Paramodulations : 11
% 0.25/1.42 # Factorizations : 0
% 0.25/1.42 # Equation resolutions : 1
% 0.25/1.42 # Current number of processed clauses : 20
% 0.25/1.42 # Positive orientable unit clauses : 8
% 0.25/1.42 # Positive unorientable unit clauses: 0
% 0.25/1.42 # Negative unit clauses : 1
% 0.25/1.42 # Non-unit-clauses : 11
% 0.25/1.42 # Current number of unprocessed clauses: 10
% 0.25/1.42 # ...number of literals in the above : 47
% 0.25/1.42 # Current number of archived formulas : 0
% 0.25/1.42 # Current number of archived clauses : 1
% 0.25/1.42 # Clause-clause subsumption calls (NU) : 1
% 0.25/1.42 # Rec. Clause-clause subsumption calls : 1
% 0.25/1.42 # Non-unit clause-clause subsumptions : 0
% 0.25/1.42 # Unit Clause-clause subsumption calls : 0
% 0.25/1.42 # Rewrite failures with RHS unbound : 0
% 0.25/1.42 # BW rewrite match attempts : 1
% 0.25/1.42 # BW rewrite match successes : 1
% 0.25/1.42 # Condensation attempts : 0
% 0.25/1.42 # Condensation successes : 0
% 0.25/1.42 # Termbank termtop insertions : 1911
% 0.25/1.42
% 0.25/1.42 # -------------------------------------------------
% 0.25/1.42 # User time : 0.014 s
% 0.25/1.42 # System time : 0.003 s
% 0.25/1.42 # Total time : 0.017 s
% 0.25/1.42 # Maximum resident set size: 3008 pages
%------------------------------------------------------------------------------