%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SET580+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n022.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 00:52:07 EDT 2022
% Result : Theorem 0.23s 1.42s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 33 ( 8 unt; 0 def)
% Number of atoms : 92 ( 3 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 100 ( 41 ~; 45 |; 8 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 48 ( 10 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_th23,conjecture,
! [X1,X2,X3] :
( member(X1,symmetric_difference(X2,X3))
<=> ~ ( member(X1,X2)
<=> member(X1,X3) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',prove_th23) ).
fof(symmetric_difference_defn,axiom,
! [X1,X2] : symmetric_difference(X1,X2) = union(difference(X1,X2),difference(X2,X1)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',symmetric_difference_defn) ).
fof(union_defn,axiom,
! [X1,X2,X3] :
( member(X3,union(X1,X2))
<=> ( member(X3,X1)
| member(X3,X2) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',union_defn) ).
fof(difference_defn,axiom,
! [X1,X2,X3] :
( member(X3,difference(X1,X2))
<=> ( member(X3,X1)
& ~ member(X3,X2) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',difference_defn) ).
fof(c_0_4,negated_conjecture,
~ ! [X1,X2,X3] :
( member(X1,symmetric_difference(X2,X3))
<=> ~ ( member(X1,X2)
<=> member(X1,X3) ) ),
inference(assume_negation,[status(cth)],[prove_th23]) ).
fof(c_0_5,negated_conjecture,
( ( ~ member(esk2_0,esk3_0)
| member(esk2_0,esk4_0)
| ~ member(esk2_0,symmetric_difference(esk3_0,esk4_0)) )
& ( ~ member(esk2_0,esk4_0)
| member(esk2_0,esk3_0)
| ~ member(esk2_0,symmetric_difference(esk3_0,esk4_0)) )
& ( ~ member(esk2_0,esk3_0)
| ~ member(esk2_0,esk4_0)
| member(esk2_0,symmetric_difference(esk3_0,esk4_0)) )
& ( member(esk2_0,esk3_0)
| member(esk2_0,esk4_0)
| member(esk2_0,symmetric_difference(esk3_0,esk4_0)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])]) ).
fof(c_0_6,plain,
! [X3,X4] : symmetric_difference(X3,X4) = union(difference(X3,X4),difference(X4,X3)),
inference(variable_rename,[status(thm)],[symmetric_difference_defn]) ).
fof(c_0_7,plain,
! [X4,X5,X6,X4,X5,X6] :
( ( ~ member(X6,union(X4,X5))
| member(X6,X4)
| member(X6,X5) )
& ( ~ member(X6,X4)
| member(X6,union(X4,X5)) )
& ( ~ member(X6,X5)
| member(X6,union(X4,X5)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[union_defn])])])])]) ).
cnf(c_0_8,negated_conjecture,
( member(esk2_0,symmetric_difference(esk3_0,esk4_0))
| ~ member(esk2_0,esk4_0)
| ~ member(esk2_0,esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
symmetric_difference(X1,X2) = union(difference(X1,X2),difference(X2,X1)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_10,plain,
! [X4,X5,X6,X4,X5,X6] :
( ( member(X6,X4)
| ~ member(X6,difference(X4,X5)) )
& ( ~ member(X6,X5)
| ~ member(X6,difference(X4,X5)) )
& ( ~ member(X6,X4)
| member(X6,X5)
| member(X6,difference(X4,X5)) ) ),
inference(distribute,[status(thm)],[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)],[difference_defn])])])])])]) ).
cnf(c_0_11,negated_conjecture,
( member(esk2_0,esk3_0)
| ~ member(esk2_0,symmetric_difference(esk3_0,esk4_0))
| ~ member(esk2_0,esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,plain,
( member(X1,X2)
| member(X1,X3)
| ~ member(X1,union(X3,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,negated_conjecture,
( member(esk2_0,union(difference(esk3_0,esk4_0),difference(esk4_0,esk3_0)))
| ~ member(esk2_0,esk3_0)
| ~ member(esk2_0,esk4_0) ),
inference(rw,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_14,plain,
( member(X1,difference(X2,X3))
| member(X1,X3)
| ~ member(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
( ~ member(X1,difference(X2,X3))
| ~ member(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,negated_conjecture,
( member(esk2_0,esk3_0)
| ~ member(esk2_0,esk4_0)
| ~ member(esk2_0,union(difference(esk3_0,esk4_0),difference(esk4_0,esk3_0))) ),
inference(rw,[status(thm)],[c_0_11,c_0_9]) ).
cnf(c_0_17,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_18,negated_conjecture,
( member(esk2_0,esk4_0)
| ~ member(esk2_0,symmetric_difference(esk3_0,esk4_0))
| ~ member(esk2_0,esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_19,negated_conjecture,
( member(esk2_0,difference(esk3_0,esk4_0))
| ~ member(esk2_0,esk3_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),c_0_15]) ).
cnf(c_0_20,negated_conjecture,
( member(esk2_0,esk3_0)
| ~ member(esk2_0,esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_14]) ).
cnf(c_0_21,negated_conjecture,
( member(esk2_0,esk4_0)
| ~ member(esk2_0,esk3_0)
| ~ member(esk2_0,union(difference(esk3_0,esk4_0),difference(esk4_0,esk3_0))) ),
inference(rw,[status(thm)],[c_0_18,c_0_9]) ).
cnf(c_0_22,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_23,negated_conjecture,
( member(esk2_0,symmetric_difference(esk3_0,esk4_0))
| member(esk2_0,esk4_0)
| member(esk2_0,esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_24,negated_conjecture,
~ member(esk2_0,esk4_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_19]),c_0_20]) ).
cnf(c_0_25,negated_conjecture,
( member(esk2_0,esk4_0)
| ~ member(esk2_0,esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_14]) ).
cnf(c_0_26,negated_conjecture,
( member(esk2_0,esk3_0)
| member(esk2_0,esk4_0)
| member(esk2_0,union(difference(esk3_0,esk4_0),difference(esk4_0,esk3_0))) ),
inference(rw,[status(thm)],[c_0_23,c_0_9]) ).
cnf(c_0_27,negated_conjecture,
~ member(esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_28,negated_conjecture,
member(esk2_0,union(difference(esk3_0,esk4_0),difference(esk4_0,esk3_0))),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_26,c_0_24]),c_0_27]) ).
cnf(c_0_29,plain,
( member(X1,X2)
| ~ member(X1,difference(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_30,negated_conjecture,
( member(esk2_0,difference(esk3_0,esk4_0))
| member(esk2_0,difference(esk4_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_12,c_0_28]) ).
cnf(c_0_31,negated_conjecture,
member(esk2_0,difference(esk3_0,esk4_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_24]) ).
cnf(c_0_32,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_31]),c_0_27]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET580+3 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 10 02:08:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.23/1.42 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.23/1.42 # Preprocessing time : 0.015 s
% 0.23/1.42
% 0.23/1.42 # Proof found!
% 0.23/1.42 # SZS status Theorem
% 0.23/1.42 # SZS output start CNFRefutation
% See solution above
% 0.23/1.42 # Proof object total steps : 33
% 0.23/1.42 # Proof object clause steps : 24
% 0.23/1.42 # Proof object formula steps : 9
% 0.23/1.42 # Proof object conjectures : 20
% 0.23/1.42 # Proof object clause conjectures : 17
% 0.23/1.42 # Proof object formula conjectures : 3
% 0.23/1.42 # Proof object initial clauses used : 11
% 0.23/1.42 # Proof object initial formulas used : 4
% 0.23/1.42 # Proof object generating inferences : 8
% 0.23/1.42 # Proof object simplifying inferences : 13
% 0.23/1.42 # Training examples: 0 positive, 0 negative
% 0.23/1.42 # Parsed axioms : 7
% 0.23/1.42 # Removed by relevancy pruning/SinE : 0
% 0.23/1.42 # Initial clauses : 17
% 0.23/1.42 # Removed in clause preprocessing : 3
% 0.23/1.42 # Initial clauses in saturation : 14
% 0.23/1.42 # Processed clauses : 26
% 0.23/1.42 # ...of these trivial : 1
% 0.23/1.42 # ...subsumed : 4
% 0.23/1.42 # ...remaining for further processing : 21
% 0.23/1.42 # Other redundant clauses eliminated : 0
% 0.23/1.42 # Clauses deleted for lack of memory : 0
% 0.23/1.42 # Backward-subsumed : 4
% 0.23/1.42 # Backward-rewritten : 1
% 0.23/1.42 # Generated clauses : 42
% 0.23/1.42 # ...of the previous two non-trivial : 27
% 0.23/1.42 # Contextual simplify-reflections : 6
% 0.23/1.42 # Paramodulations : 39
% 0.23/1.42 # Factorizations : 2
% 0.23/1.42 # Equation resolutions : 0
% 0.23/1.42 # Current number of processed clauses : 15
% 0.23/1.42 # Positive orientable unit clauses : 2
% 0.23/1.42 # Positive unorientable unit clauses: 1
% 0.23/1.42 # Negative unit clauses : 2
% 0.23/1.42 # Non-unit-clauses : 10
% 0.23/1.42 # Current number of unprocessed clauses: 12
% 0.23/1.42 # ...number of literals in the above : 38
% 0.23/1.42 # Current number of archived formulas : 0
% 0.23/1.42 # Current number of archived clauses : 7
% 0.23/1.42 # Clause-clause subsumption calls (NU) : 49
% 0.23/1.42 # Rec. Clause-clause subsumption calls : 49
% 0.23/1.42 # Non-unit clause-clause subsumptions : 12
% 0.23/1.42 # Unit Clause-clause subsumption calls : 7
% 0.23/1.42 # Rewrite failures with RHS unbound : 0
% 0.23/1.42 # BW rewrite match attempts : 2
% 0.23/1.42 # BW rewrite match successes : 2
% 0.23/1.42 # Condensation attempts : 0
% 0.23/1.42 # Condensation successes : 0
% 0.23/1.42 # Termbank termtop insertions : 1464
% 0.23/1.42
% 0.23/1.42 # -------------------------------------------------
% 0.23/1.42 # User time : 0.013 s
% 0.23/1.42 # System time : 0.003 s
% 0.23/1.42 # Total time : 0.016 s
% 0.23/1.42 # Maximum resident set size: 2772 pages
% 0.23/23.41 eprover: CPU time limit exceeded, terminating
% 0.23/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.42 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48 eprover: No such file or directory
%------------------------------------------------------------------------------