TSTP Solution File: SYN321+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SYN321+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n023.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 05:53:12 EDT 2022
% Result : Theorem 0.19s 1.38s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 3 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 30 ( 9 ~; 8 |; 3 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 36 ( 14 sgn 16 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_3_2,conjecture,
? [X1,X2] :
( ( ? [X3] : big_f(X1,X3)
=> ! [X3] : big_g(X1,X3) )
=> ( ! [X3] :
( big_g(X3,X3)
=> big_f(X3,X2) )
=> ( big_f(X1,X2)
<=> ! [X3] : big_g(X1,X3) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',church_46_3_2) ).
fof(c_0_1,negated_conjecture,
~ ? [X1,X2] :
( ( ? [X3] : big_f(X1,X3)
=> ! [X3] : big_g(X1,X3) )
=> ( ! [X3] :
( big_g(X3,X3)
=> big_f(X3,X2) )
=> ( big_f(X1,X2)
<=> ! [X3] : big_g(X1,X3) ) ) ),
inference(assume_negation,[status(cth)],[church_46_3_2]) ).
fof(c_0_2,negated_conjecture,
! [X4,X6,X7,X5,X8,X4,X5,X4,X5,X10] :
( ( ~ big_f(X4,X6)
| big_g(X4,X7) )
& ( ~ big_g(X8,X8)
| big_f(X8,X5) )
& ( ~ big_f(X4,X5)
| ~ big_g(X4,esk1_1(X4)) )
& ( big_f(X4,X5)
| big_g(X4,X10) ) ),
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_1])])])])])]) ).
cnf(c_0_3,negated_conjecture,
( big_g(X1,X2)
| big_f(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
( big_g(X1,X2)
| ~ big_f(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
( big_f(X1,X2)
| ~ big_g(X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6,negated_conjecture,
big_g(X1,X2),
inference(csr,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_7,negated_conjecture,
( ~ big_g(X1,esk1_1(X1))
| ~ big_f(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8,negated_conjecture,
big_f(X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_6])]) ).
cnf(c_0_9,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_6])]),c_0_8])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN321+1 : TPTP v8.1.0. Released v2.0.0.
% 0.00/0.11 % Command : run_ET %s %d
% 0.11/0.31 % Computer : n023.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 600
% 0.11/0.31 % DateTime : Tue Jul 12 02:51:54 EDT 2022
% 0.16/0.31 % CPUTime :
% 0.19/1.38 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.19/1.38 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.19/1.38 # Preprocessing time : 0.013 s
% 0.19/1.38
% 0.19/1.38 # Proof found!
% 0.19/1.38 # SZS status Theorem
% 0.19/1.38 # SZS output start CNFRefutation
% See solution above
% 0.19/1.38 # Proof object total steps : 10
% 0.19/1.38 # Proof object clause steps : 7
% 0.19/1.38 # Proof object formula steps : 3
% 0.19/1.38 # Proof object conjectures : 10
% 0.19/1.38 # Proof object clause conjectures : 7
% 0.19/1.38 # Proof object formula conjectures : 3
% 0.19/1.38 # Proof object initial clauses used : 4
% 0.19/1.38 # Proof object initial formulas used : 1
% 0.19/1.38 # Proof object generating inferences : 0
% 0.19/1.38 # Proof object simplifying inferences : 7
% 0.19/1.38 # Training examples: 0 positive, 0 negative
% 0.19/1.38 # Parsed axioms : 1
% 0.19/1.38 # Removed by relevancy pruning/SinE : 0
% 0.19/1.38 # Initial clauses : 4
% 0.19/1.38 # Removed in clause preprocessing : 0
% 0.19/1.38 # Initial clauses in saturation : 4
% 0.19/1.38 # Processed clauses : 5
% 0.19/1.38 # ...of these trivial : 0
% 0.19/1.38 # ...subsumed : 0
% 0.19/1.38 # ...remaining for further processing : 4
% 0.19/1.38 # Other redundant clauses eliminated : 0
% 0.19/1.38 # Clauses deleted for lack of memory : 0
% 0.19/1.38 # Backward-subsumed : 0
% 0.19/1.38 # Backward-rewritten : 2
% 0.19/1.38 # Generated clauses : 0
% 0.19/1.38 # ...of the previous two non-trivial : 1
% 0.19/1.38 # Contextual simplify-reflections : 1
% 0.19/1.38 # Paramodulations : 0
% 0.19/1.38 # Factorizations : 0
% 0.19/1.38 # Equation resolutions : 0
% 0.19/1.38 # Current number of processed clauses : 2
% 0.19/1.38 # Positive orientable unit clauses : 2
% 0.19/1.38 # Positive unorientable unit clauses: 0
% 0.19/1.38 # Negative unit clauses : 0
% 0.19/1.38 # Non-unit-clauses : 0
% 0.19/1.38 # Current number of unprocessed clauses: 0
% 0.19/1.38 # ...number of literals in the above : 0
% 0.19/1.38 # Current number of archived formulas : 0
% 0.19/1.38 # Current number of archived clauses : 2
% 0.19/1.38 # Clause-clause subsumption calls (NU) : 1
% 0.19/1.38 # Rec. Clause-clause subsumption calls : 1
% 0.19/1.38 # Non-unit clause-clause subsumptions : 1
% 0.19/1.38 # Unit Clause-clause subsumption calls : 0
% 0.19/1.38 # Rewrite failures with RHS unbound : 0
% 0.19/1.38 # BW rewrite match attempts : 2
% 0.19/1.38 # BW rewrite match successes : 2
% 0.19/1.38 # Condensation attempts : 0
% 0.19/1.38 # Condensation successes : 0
% 0.19/1.38 # Termbank termtop insertions : 342
% 0.19/1.38
% 0.19/1.38 # -------------------------------------------------
% 0.19/1.38 # User time : 0.012 s
% 0.19/1.38 # System time : 0.001 s
% 0.19/1.38 # Total time : 0.013 s
% 0.19/1.38 # Maximum resident set size: 2760 pages
%------------------------------------------------------------------------------