TSTP Solution File: SET987+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SET987+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n003.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 00:55:54 EDT 2022
% Result : Theorem 0.24s 1.41s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 7 unt; 0 def)
% Number of atoms : 21 ( 12 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 19 ( 11 ~; 3 |; 2 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 18 ( 2 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t141_zfmisc_1,conjecture,
! [X1,X2] :
( ~ in(X1,X2)
=> set_difference(set_union2(X2,singleton(X1)),singleton(X1)) = X2 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t141_zfmisc_1) ).
fof(t40_xboole_1,axiom,
! [X1,X2] : set_difference(set_union2(X1,X2),X2) = set_difference(X1,X2),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t40_xboole_1) ).
fof(t65_zfmisc_1,axiom,
! [X1,X2] :
( set_difference(X1,singleton(X2)) = X1
<=> ~ in(X2,X1) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t65_zfmisc_1) ).
fof(c_0_3,negated_conjecture,
~ ! [X1,X2] :
( ~ in(X1,X2)
=> set_difference(set_union2(X2,singleton(X1)),singleton(X1)) = X2 ),
inference(assume_negation,[status(cth)],[t141_zfmisc_1]) ).
fof(c_0_4,negated_conjecture,
( ~ in(esk1_0,esk2_0)
& set_difference(set_union2(esk2_0,singleton(esk1_0)),singleton(esk1_0)) != esk2_0 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_3])])])]) ).
fof(c_0_5,plain,
! [X3,X4] : set_difference(set_union2(X3,X4),X4) = set_difference(X3,X4),
inference(variable_rename,[status(thm)],[t40_xboole_1]) ).
cnf(c_0_6,negated_conjecture,
set_difference(set_union2(esk2_0,singleton(esk1_0)),singleton(esk1_0)) != esk2_0,
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
set_difference(set_union2(X1,X2),X2) = set_difference(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_8,plain,
! [X3,X4,X3,X4] :
( ( set_difference(X3,singleton(X4)) != X3
| ~ in(X4,X3) )
& ( in(X4,X3)
| set_difference(X3,singleton(X4)) = X3 ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t65_zfmisc_1])])])])]) ).
cnf(c_0_9,negated_conjecture,
set_difference(esk2_0,singleton(esk1_0)) != esk2_0,
inference(rw,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,plain,
( set_difference(X1,singleton(X2)) = X1
| in(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,negated_conjecture,
~ in(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_12,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET987+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.14/0.34 % Computer : n003.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 : Sun Jul 10 11:54:59 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.24/1.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/1.41 # Preprocessing time : 0.014 s
% 0.24/1.41
% 0.24/1.41 # Proof found!
% 0.24/1.41 # SZS status Theorem
% 0.24/1.41 # SZS output start CNFRefutation
% See solution above
% 0.24/1.41 # Proof object total steps : 13
% 0.24/1.41 # Proof object clause steps : 6
% 0.24/1.41 # Proof object formula steps : 7
% 0.24/1.41 # Proof object conjectures : 7
% 0.24/1.41 # Proof object clause conjectures : 4
% 0.24/1.41 # Proof object formula conjectures : 3
% 0.24/1.41 # Proof object initial clauses used : 4
% 0.24/1.41 # Proof object initial formulas used : 3
% 0.24/1.41 # Proof object generating inferences : 1
% 0.24/1.41 # Proof object simplifying inferences : 2
% 0.24/1.41 # Training examples: 0 positive, 0 negative
% 0.24/1.41 # Parsed axioms : 10
% 0.24/1.41 # Removed by relevancy pruning/SinE : 4
% 0.24/1.41 # Initial clauses : 8
% 0.24/1.41 # Removed in clause preprocessing : 0
% 0.24/1.41 # Initial clauses in saturation : 8
% 0.24/1.41 # Processed clauses : 11
% 0.24/1.41 # ...of these trivial : 1
% 0.24/1.41 # ...subsumed : 0
% 0.24/1.41 # ...remaining for further processing : 10
% 0.24/1.41 # Other redundant clauses eliminated : 0
% 0.24/1.41 # Clauses deleted for lack of memory : 0
% 0.24/1.41 # Backward-subsumed : 0
% 0.24/1.41 # Backward-rewritten : 1
% 0.24/1.41 # Generated clauses : 11
% 0.24/1.41 # ...of the previous two non-trivial : 6
% 0.24/1.41 # Contextual simplify-reflections : 0
% 0.24/1.41 # Paramodulations : 11
% 0.24/1.41 # Factorizations : 0
% 0.24/1.41 # Equation resolutions : 0
% 0.24/1.41 # Current number of processed clauses : 9
% 0.24/1.41 # Positive orientable unit clauses : 3
% 0.24/1.41 # Positive unorientable unit clauses: 1
% 0.24/1.41 # Negative unit clauses : 2
% 0.24/1.41 # Non-unit-clauses : 3
% 0.24/1.41 # Current number of unprocessed clauses: 3
% 0.24/1.41 # ...number of literals in the above : 6
% 0.24/1.41 # Current number of archived formulas : 0
% 0.24/1.41 # Current number of archived clauses : 1
% 0.24/1.41 # Clause-clause subsumption calls (NU) : 0
% 0.24/1.41 # Rec. Clause-clause subsumption calls : 0
% 0.24/1.41 # Non-unit clause-clause subsumptions : 0
% 0.24/1.41 # Unit Clause-clause subsumption calls : 0
% 0.24/1.41 # Rewrite failures with RHS unbound : 0
% 0.24/1.41 # BW rewrite match attempts : 6
% 0.24/1.41 # BW rewrite match successes : 5
% 0.24/1.41 # Condensation attempts : 0
% 0.24/1.41 # Condensation successes : 0
% 0.24/1.41 # Termbank termtop insertions : 451
% 0.24/1.41
% 0.24/1.41 # -------------------------------------------------
% 0.24/1.41 # User time : 0.013 s
% 0.24/1.41 # System time : 0.002 s
% 0.24/1.41 # Total time : 0.015 s
% 0.24/1.41 # Maximum resident set size: 2772 pages
%------------------------------------------------------------------------------