TSTP Solution File: GEO498+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GEO498+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n029.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 04:06:02 EDT 2022
% Result : Theorem 0.27s 1.45s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 8 unt; 0 def)
% Number of atoms : 17 ( 16 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 7 ~; 4 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 14 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(aSatz7_8,conjecture,
! [X12,X13,X27,X16] :
( s(X12,X13) != X27
| s(X12,X16) != X27
| X13 = X16 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',aSatz7_8) ).
fof(aSatz7_7,axiom,
! [X12,X13] : s(X12,s(X12,X13)) = X13,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',aSatz7_7) ).
fof(c_0_2,negated_conjecture,
~ ! [X12,X13,X27,X16] :
( s(X12,X13) != X27
| s(X12,X16) != X27
| X13 = X16 ),
inference(assume_negation,[status(cth)],[aSatz7_8]) ).
fof(c_0_3,plain,
! [X14,X15] : s(X14,s(X14,X15)) = X15,
inference(variable_rename,[status(thm)],[aSatz7_7]) ).
fof(c_0_4,negated_conjecture,
( s(esk1_0,esk2_0) = esk3_0
& s(esk1_0,esk4_0) = esk3_0
& esk2_0 != esk4_0 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).
cnf(c_0_5,plain,
s(X1,s(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
s(esk1_0,esk4_0) = esk3_0,
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
s(esk1_0,esk2_0) = esk3_0,
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,negated_conjecture,
s(esk1_0,esk3_0) = esk4_0,
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_9,negated_conjecture,
esk2_0 != esk4_0,
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_7]),c_0_8]),c_0_9]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GEO498+1 : TPTP v8.1.0. Released v7.0.0.
% 0.08/0.15 % Command : run_ET %s %d
% 0.14/0.36 % Computer : n029.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sat Jun 18 13:21:14 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.27/1.45 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.27/1.45 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.27/1.45 # Preprocessing time : 0.030 s
% 0.27/1.45
% 0.27/1.45 # Proof found!
% 0.27/1.45 # SZS status Theorem
% 0.27/1.45 # SZS output start CNFRefutation
% See solution above
% 0.27/1.45 # Proof object total steps : 11
% 0.27/1.45 # Proof object clause steps : 6
% 0.27/1.45 # Proof object formula steps : 5
% 0.27/1.45 # Proof object conjectures : 8
% 0.27/1.45 # Proof object clause conjectures : 5
% 0.27/1.45 # Proof object formula conjectures : 3
% 0.27/1.46 # Proof object initial clauses used : 4
% 0.27/1.46 # Proof object initial formulas used : 2
% 0.27/1.46 # Proof object generating inferences : 2
% 0.27/1.46 # Proof object simplifying inferences : 2
% 0.27/1.46 # Training examples: 0 positive, 0 negative
% 0.27/1.46 # Parsed axioms : 110
% 0.27/1.46 # Removed by relevancy pruning/SinE : 53
% 0.27/1.46 # Initial clauses : 64
% 0.27/1.46 # Removed in clause preprocessing : 0
% 0.27/1.46 # Initial clauses in saturation : 64
% 0.27/1.46 # Processed clauses : 66
% 0.27/1.46 # ...of these trivial : 1
% 0.27/1.46 # ...subsumed : 2
% 0.27/1.46 # ...remaining for further processing : 62
% 0.27/1.46 # Other redundant clauses eliminated : 2
% 0.27/1.46 # Clauses deleted for lack of memory : 0
% 0.27/1.46 # Backward-subsumed : 0
% 0.27/1.46 # Backward-rewritten : 0
% 0.27/1.46 # Generated clauses : 112
% 0.27/1.46 # ...of the previous two non-trivial : 62
% 0.27/1.46 # Contextual simplify-reflections : 1
% 0.27/1.46 # Paramodulations : 110
% 0.27/1.46 # Factorizations : 0
% 0.27/1.46 # Equation resolutions : 2
% 0.27/1.46 # Current number of processed clauses : 60
% 0.27/1.46 # Positive orientable unit clauses : 12
% 0.27/1.46 # Positive unorientable unit clauses: 0
% 0.27/1.46 # Negative unit clauses : 1
% 0.27/1.46 # Non-unit-clauses : 47
% 0.27/1.46 # Current number of unprocessed clauses: 60
% 0.27/1.46 # ...number of literals in the above : 189
% 0.27/1.46 # Current number of archived formulas : 0
% 0.27/1.46 # Current number of archived clauses : 0
% 0.27/1.46 # Clause-clause subsumption calls (NU) : 1120
% 0.27/1.46 # Rec. Clause-clause subsumption calls : 761
% 0.27/1.46 # Non-unit clause-clause subsumptions : 3
% 0.27/1.46 # Unit Clause-clause subsumption calls : 0
% 0.27/1.46 # Rewrite failures with RHS unbound : 0
% 0.27/1.46 # BW rewrite match attempts : 6
% 0.27/1.46 # BW rewrite match successes : 0
% 0.27/1.46 # Condensation attempts : 0
% 0.27/1.46 # Condensation successes : 0
% 0.27/1.46 # Termbank termtop insertions : 6850
% 0.27/1.46
% 0.27/1.46 # -------------------------------------------------
% 0.27/1.46 # User time : 0.030 s
% 0.27/1.46 # System time : 0.004 s
% 0.27/1.46 # Total time : 0.034 s
% 0.27/1.46 # Maximum resident set size: 3304 pages
%------------------------------------------------------------------------------