TSTP Solution File: SYN334+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SYN334+1 : TPTP v8.1.0. Released v2.0.0.
% 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 : Thu Jul 21 05:53:21 EDT 2022
% Result : Theorem 0.26s 1.44s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 18 ( 2 unt; 0 def)
% Number of atoms : 66 ( 0 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 74 ( 26 ~; 28 |; 6 &)
% ( 6 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 36 ( 2 sgn 4 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_14_6,conjecture,
? [X1,X2] :
! [X3] :
( ( big_f(X1,X2)
=> ( big_f(X1,X3)
<=> big_g(X2,X3) ) )
=> ( ( big_f(X1,X2)
<=> ( big_f(X3,X3)
=> big_g(X3,X3) ) )
=> ( big_g(X1,X2)
<=> big_g(X3,X3) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',church_46_14_6) ).
fof(c_0_1,negated_conjecture,
~ ? [X1,X2] :
! [X3] :
( ( big_f(X1,X2)
=> ( big_f(X1,X3)
<=> big_g(X2,X3) ) )
=> ( ( big_f(X1,X2)
<=> ( big_f(X3,X3)
=> big_g(X3,X3) ) )
=> ( big_g(X1,X2)
<=> big_g(X3,X3) ) ) ),
inference(assume_negation,[status(cth)],[church_46_14_6]) ).
fof(c_0_2,negated_conjecture,
! [X4,X5] :
( ( ~ big_f(X4,esk1_2(X4,X5))
| big_g(X5,esk1_2(X4,X5))
| ~ big_f(X4,X5) )
& ( ~ big_g(X5,esk1_2(X4,X5))
| big_f(X4,esk1_2(X4,X5))
| ~ big_f(X4,X5) )
& ( ~ big_f(X4,X5)
| ~ big_f(esk1_2(X4,X5),esk1_2(X4,X5))
| big_g(esk1_2(X4,X5),esk1_2(X4,X5)) )
& ( big_f(esk1_2(X4,X5),esk1_2(X4,X5))
| big_f(X4,X5) )
& ( ~ big_g(esk1_2(X4,X5),esk1_2(X4,X5))
| big_f(X4,X5) )
& ( ~ big_g(X4,X5)
| ~ big_g(esk1_2(X4,X5),esk1_2(X4,X5)) )
& ( big_g(X4,X5)
| big_g(esk1_2(X4,X5),esk1_2(X4,X5)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])]) ).
cnf(c_0_3,negated_conjecture,
( big_f(X1,X2)
| ~ big_g(esk1_2(X1,X2),esk1_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
( big_g(esk1_2(X1,X2),esk1_2(X1,X2))
| big_g(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
( ~ big_g(esk1_2(X1,X2),esk1_2(X1,X2))
| ~ big_g(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6,negated_conjecture,
( big_g(X1,X2)
| big_f(X1,X2) ),
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_7,negated_conjecture,
( big_g(esk1_2(X1,X2),esk1_2(X1,X2))
| ~ big_f(esk1_2(X1,X2),esk1_2(X1,X2))
| ~ big_f(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8,negated_conjecture,
( big_f(esk1_2(X1,X2),esk1_2(X1,X2))
| ~ big_g(X1,X2) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_9,negated_conjecture,
( big_f(X1,esk1_2(X1,X2))
| ~ big_f(X1,X2)
| ~ big_g(X2,esk1_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_10,negated_conjecture,
( ~ big_g(X1,X2)
| ~ big_f(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_7]),c_0_8]) ).
cnf(c_0_11,negated_conjecture,
( big_g(X2,esk1_2(X1,X2))
| ~ big_f(X1,X2)
| ~ big_f(X1,esk1_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_12,negated_conjecture,
( big_f(X1,esk1_2(X2,X1))
| big_f(X2,esk1_2(X2,X1))
| ~ big_f(X2,X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_6]) ).
cnf(c_0_13,negated_conjecture,
( big_f(X1,X2)
| big_f(esk1_2(X1,X2),esk1_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_14,negated_conjecture,
( ~ big_f(X1,esk1_2(X2,X1))
| ~ big_f(X2,esk1_2(X2,X1))
| ~ big_f(X2,X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,negated_conjecture,
( big_f(esk1_2(X1,X2),esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)))
| big_f(X1,X2) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
big_f(X1,X2),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_13]),c_0_15]) ).
cnf(c_0_17,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_16]),c_0_16]),c_0_16])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SYN334+1 : TPTP v8.1.0. Released v2.0.0.
% 0.04/0.14 % Command : run_ET %s %d
% 0.14/0.36 % Computer : n010.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 : Mon Jul 11 20:14:30 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.26/1.44 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.26/1.44 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.26/1.44 # Preprocessing time : 0.013 s
% 0.26/1.44
% 0.26/1.44 # Proof found!
% 0.26/1.44 # SZS status Theorem
% 0.26/1.44 # SZS output start CNFRefutation
% See solution above
% 0.26/1.44 # Proof object total steps : 18
% 0.26/1.44 # Proof object clause steps : 15
% 0.26/1.44 # Proof object formula steps : 3
% 0.26/1.44 # Proof object conjectures : 18
% 0.26/1.44 # Proof object clause conjectures : 15
% 0.26/1.44 # Proof object formula conjectures : 3
% 0.26/1.44 # Proof object initial clauses used : 7
% 0.26/1.44 # Proof object initial formulas used : 1
% 0.26/1.44 # Proof object generating inferences : 7
% 0.26/1.44 # Proof object simplifying inferences : 7
% 0.26/1.44 # Training examples: 0 positive, 0 negative
% 0.26/1.44 # Parsed axioms : 1
% 0.26/1.44 # Removed by relevancy pruning/SinE : 0
% 0.26/1.44 # Initial clauses : 7
% 0.26/1.44 # Removed in clause preprocessing : 0
% 0.26/1.44 # Initial clauses in saturation : 7
% 0.26/1.44 # Processed clauses : 28
% 0.26/1.44 # ...of these trivial : 0
% 0.26/1.44 # ...subsumed : 6
% 0.26/1.44 # ...remaining for further processing : 22
% 0.26/1.44 # Other redundant clauses eliminated : 0
% 0.26/1.44 # Clauses deleted for lack of memory : 0
% 0.26/1.44 # Backward-subsumed : 1
% 0.26/1.44 # Backward-rewritten : 18
% 0.26/1.44 # Generated clauses : 43
% 0.26/1.44 # ...of the previous two non-trivial : 35
% 0.26/1.44 # Contextual simplify-reflections : 3
% 0.26/1.44 # Paramodulations : 43
% 0.26/1.44 # Factorizations : 0
% 0.26/1.44 # Equation resolutions : 0
% 0.26/1.44 # Current number of processed clauses : 3
% 0.26/1.44 # Positive orientable unit clauses : 1
% 0.26/1.44 # Positive unorientable unit clauses: 0
% 0.26/1.44 # Negative unit clauses : 0
% 0.26/1.44 # Non-unit-clauses : 2
% 0.26/1.44 # Current number of unprocessed clauses: 1
% 0.26/1.44 # ...number of literals in the above : 1
% 0.26/1.44 # Current number of archived formulas : 0
% 0.26/1.44 # Current number of archived clauses : 19
% 0.26/1.44 # Clause-clause subsumption calls (NU) : 65
% 0.26/1.44 # Rec. Clause-clause subsumption calls : 55
% 0.26/1.44 # Non-unit clause-clause subsumptions : 10
% 0.26/1.44 # Unit Clause-clause subsumption calls : 0
% 0.26/1.44 # Rewrite failures with RHS unbound : 0
% 0.26/1.44 # BW rewrite match attempts : 10
% 0.26/1.44 # BW rewrite match successes : 10
% 0.26/1.44 # Condensation attempts : 0
% 0.26/1.44 # Condensation successes : 0
% 0.26/1.44 # Termbank termtop insertions : 1253
% 0.26/1.44
% 0.26/1.44 # -------------------------------------------------
% 0.26/1.44 # User time : 0.013 s
% 0.26/1.44 # System time : 0.003 s
% 0.26/1.44 # Total time : 0.016 s
% 0.26/1.44 # Maximum resident set size: 2760 pages
%------------------------------------------------------------------------------