TSTP Solution File: SET788+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SET788+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n004.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 : Tue Jul 19 00:54:22 EDT 2022
% Result : Theorem 0.25s 1.44s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 1
% Syntax : Number of formulae : 20 ( 5 unt; 0 def)
% Number of atoms : 62 ( 0 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 65 ( 23 ~; 29 |; 5 &)
% ( 6 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 31 ( 3 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_this,conjecture,
( ! [X1,X2] :
( equalish(X1,X2)
<=> ! [X3] :
( a_member_of(X3,X1)
<=> a_member_of(X3,X2) ) )
=> ! [X1,X2] :
( equalish(X1,X2)
<=> equalish(X2,X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',prove_this) ).
fof(c_0_1,negated_conjecture,
~ ( ! [X1,X2] :
( equalish(X1,X2)
<=> ! [X3] :
( a_member_of(X3,X1)
<=> a_member_of(X3,X2) ) )
=> ! [X1,X2] :
( equalish(X1,X2)
<=> equalish(X2,X1) ) ),
inference(assume_negation,[status(cth)],[prove_this]) ).
fof(c_0_2,negated_conjecture,
! [X4,X5,X6,X6,X4,X5] :
( ( ~ a_member_of(X6,X4)
| a_member_of(X6,X5)
| ~ equalish(X4,X5) )
& ( ~ a_member_of(X6,X5)
| a_member_of(X6,X4)
| ~ equalish(X4,X5) )
& ( ~ a_member_of(esk1_2(X4,X5),X4)
| ~ a_member_of(esk1_2(X4,X5),X5)
| equalish(X4,X5) )
& ( a_member_of(esk1_2(X4,X5),X4)
| a_member_of(esk1_2(X4,X5),X5)
| equalish(X4,X5) )
& ( ~ equalish(esk2_0,esk3_0)
| ~ equalish(esk3_0,esk2_0) )
& ( equalish(esk2_0,esk3_0)
| equalish(esk3_0,esk2_0) ) ),
inference(distribute,[status(thm)],[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,
( a_member_of(X3,X2)
| ~ equalish(X1,X2)
| ~ a_member_of(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
( equalish(esk3_0,esk2_0)
| equalish(esk2_0,esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
( a_member_of(X3,X1)
| ~ equalish(X1,X2)
| ~ a_member_of(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6,negated_conjecture,
( a_member_of(X1,esk3_0)
| ~ a_member_of(X1,esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_5]) ).
cnf(c_0_7,negated_conjecture,
( equalish(X1,X2)
| a_member_of(esk1_2(X1,X2),X2)
| a_member_of(esk1_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8,negated_conjecture,
( equalish(X1,X2)
| ~ a_member_of(esk1_2(X1,X2),X2)
| ~ a_member_of(esk1_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_9,negated_conjecture,
( a_member_of(X1,esk2_0)
| ~ a_member_of(X1,esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_4]),c_0_3]) ).
cnf(c_0_10,negated_conjecture,
( a_member_of(esk1_2(X1,esk2_0),esk3_0)
| a_member_of(esk1_2(X1,esk2_0),X1)
| equalish(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_11,negated_conjecture,
( equalish(X1,esk2_0)
| ~ a_member_of(esk1_2(X1,esk2_0),esk3_0)
| ~ a_member_of(esk1_2(X1,esk2_0),X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,negated_conjecture,
( a_member_of(esk1_2(esk3_0,esk2_0),esk3_0)
| equalish(esk3_0,esk2_0) ),
inference(ef,[status(thm)],[c_0_10]) ).
cnf(c_0_13,negated_conjecture,
( ~ equalish(esk3_0,esk2_0)
| ~ equalish(esk2_0,esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_14,negated_conjecture,
equalish(esk3_0,esk2_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_12]) ).
cnf(c_0_15,negated_conjecture,
( a_member_of(esk1_2(esk2_0,X1),esk3_0)
| a_member_of(esk1_2(esk2_0,X1),X1)
| equalish(esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_16,negated_conjecture,
~ equalish(esk2_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14])]) ).
cnf(c_0_17,negated_conjecture,
a_member_of(esk1_2(esk2_0,esk3_0),esk3_0),
inference(sr,[status(thm)],[inference(ef,[status(thm)],[c_0_15]),c_0_16]) ).
cnf(c_0_18,negated_conjecture,
~ a_member_of(esk1_2(esk2_0,esk3_0),esk2_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_17]),c_0_16]) ).
cnf(c_0_19,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_9]),c_0_17])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET788+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.14 % Command : run_ET %s %d
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jul 11 06:34:52 EDT 2022
% 0.13/0.36 % CPUTime :
% 0.25/1.44 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.25/1.44 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.25/1.44 # Preprocessing time : 0.014 s
% 0.25/1.44
% 0.25/1.44 # Proof found!
% 0.25/1.44 # SZS status Theorem
% 0.25/1.44 # SZS output start CNFRefutation
% See solution above
% 0.25/1.44 # Proof object total steps : 20
% 0.25/1.44 # Proof object clause steps : 17
% 0.25/1.44 # Proof object formula steps : 3
% 0.25/1.44 # Proof object conjectures : 20
% 0.25/1.44 # Proof object clause conjectures : 17
% 0.25/1.44 # Proof object formula conjectures : 3
% 0.25/1.44 # Proof object initial clauses used : 6
% 0.25/1.44 # Proof object initial formulas used : 1
% 0.25/1.44 # Proof object generating inferences : 10
% 0.25/1.44 # Proof object simplifying inferences : 9
% 0.25/1.44 # Training examples: 0 positive, 0 negative
% 0.25/1.44 # Parsed axioms : 1
% 0.25/1.44 # Removed by relevancy pruning/SinE : 0
% 0.25/1.44 # Initial clauses : 6
% 0.25/1.44 # Removed in clause preprocessing : 0
% 0.25/1.44 # Initial clauses in saturation : 6
% 0.25/1.44 # Processed clauses : 24
% 0.25/1.44 # ...of these trivial : 4
% 0.25/1.44 # ...subsumed : 2
% 0.25/1.44 # ...remaining for further processing : 18
% 0.25/1.44 # Other redundant clauses eliminated : 0
% 0.25/1.44 # Clauses deleted for lack of memory : 0
% 0.25/1.44 # Backward-subsumed : 0
% 0.25/1.44 # Backward-rewritten : 4
% 0.25/1.44 # Generated clauses : 29
% 0.25/1.44 # ...of the previous two non-trivial : 21
% 0.25/1.44 # Contextual simplify-reflections : 4
% 0.25/1.44 # Paramodulations : 23
% 0.25/1.44 # Factorizations : 6
% 0.25/1.44 # Equation resolutions : 0
% 0.25/1.44 # Current number of processed clauses : 14
% 0.25/1.44 # Positive orientable unit clauses : 3
% 0.25/1.44 # Positive unorientable unit clauses: 0
% 0.25/1.44 # Negative unit clauses : 2
% 0.25/1.44 # Non-unit-clauses : 9
% 0.25/1.44 # Current number of unprocessed clauses: 2
% 0.25/1.44 # ...number of literals in the above : 4
% 0.25/1.44 # Current number of archived formulas : 0
% 0.25/1.44 # Current number of archived clauses : 4
% 0.25/1.44 # Clause-clause subsumption calls (NU) : 23
% 0.25/1.44 # Rec. Clause-clause subsumption calls : 17
% 0.25/1.44 # Non-unit clause-clause subsumptions : 6
% 0.25/1.44 # Unit Clause-clause subsumption calls : 8
% 0.25/1.44 # Rewrite failures with RHS unbound : 0
% 0.25/1.44 # BW rewrite match attempts : 8
% 0.25/1.44 # BW rewrite match successes : 2
% 0.25/1.44 # Condensation attempts : 0
% 0.25/1.44 # Condensation successes : 0
% 0.25/1.44 # Termbank termtop insertions : 880
% 0.25/1.44
% 0.25/1.44 # -------------------------------------------------
% 0.25/1.44 # User time : 0.014 s
% 0.25/1.44 # System time : 0.001 s
% 0.25/1.44 # Total time : 0.015 s
% 0.25/1.44 # Maximum resident set size: 2756 pages
%------------------------------------------------------------------------------