%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SET595+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n005.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 00:52:17 EDT 2022
% Result : Theorem 0.71s 99.89s
% Output : CNFRefutation 0.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 36 ( 6 unt; 0 def)
% Number of atoms : 97 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 96 ( 35 ~; 43 |; 11 &)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 85 ( 14 sgn 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thI27,conjecture,
! [X1,X4] :
( subset(X1,X4)
=> equal_set(union(difference(X4,X1),X1),X4) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',thI27) ).
fof(subset,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( member(X3,X1)
=> member(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',subset) ).
fof(union,axiom,
! [X3,X1,X2] :
( member(X3,union(X1,X2))
<=> ( member(X3,X1)
| member(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',union) ).
fof(difference,axiom,
! [X2,X1,X4] :
( member(X2,difference(X4,X1))
<=> ( member(X2,X4)
& ~ member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',difference) ).
fof(equal_set,axiom,
! [X1,X2] :
( equal_set(X1,X2)
<=> ( subset(X1,X2)
& subset(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',equal_set) ).
fof(c_0_5,negated_conjecture,
~ ! [X1,X4] :
( subset(X1,X4)
=> equal_set(union(difference(X4,X1),X1),X4) ),
inference(assume_negation,[status(cth)],[thI27]) ).
fof(c_0_6,plain,
! [X4,X5,X6,X4,X5] :
( ( ~ subset(X4,X5)
| ~ member(X6,X4)
| member(X6,X5) )
& ( member(esk1_2(X4,X5),X4)
| subset(X4,X5) )
& ( ~ member(esk1_2(X4,X5),X5)
| subset(X4,X5) ) ),
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)],[subset])])])])])])]) ).
fof(c_0_7,negated_conjecture,
( subset(esk4_0,esk5_0)
& ~ equal_set(union(difference(esk5_0,esk4_0),esk4_0),esk5_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
fof(c_0_8,plain,
! [X4,X5,X6,X4,X5,X6] :
( ( ~ member(X4,union(X5,X6))
| member(X4,X5)
| member(X4,X6) )
& ( ~ member(X4,X5)
| member(X4,union(X5,X6)) )
& ( ~ member(X4,X6)
| member(X4,union(X5,X6)) ) ),
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])])])])]) ).
cnf(c_0_9,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ subset(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
subset(esk4_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( member(X1,X2)
| member(X1,X3)
| ~ member(X1,union(X3,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
( subset(X1,X2)
| member(esk1_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_13,negated_conjecture,
( member(X1,esk5_0)
| ~ member(X1,esk4_0) ),
inference(pm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,plain,
( member(esk1_2(union(X1,X2),X3),X1)
| member(esk1_2(union(X1,X2),X3),X2)
| subset(union(X1,X2),X3) ),
inference(pm,[status(thm)],[c_0_11,c_0_12]) ).
fof(c_0_15,plain,
! [X5,X6,X7,X5,X6,X7] :
( ( member(X5,X7)
| ~ member(X5,difference(X7,X6)) )
& ( ~ member(X5,X6)
| ~ member(X5,difference(X7,X6)) )
& ( ~ member(X5,X7)
| member(X5,X6)
| member(X5,difference(X7,X6)) ) ),
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])])])])])]) ).
cnf(c_0_16,plain,
( subset(X1,X2)
| ~ member(esk1_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_17,negated_conjecture,
( member(esk1_2(union(X1,esk4_0),X2),esk5_0)
| member(esk1_2(union(X1,esk4_0),X2),X1)
| subset(union(X1,esk4_0),X2) ),
inference(pm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_19,plain,
! [X3,X4,X3,X4] :
( ( subset(X3,X4)
| ~ equal_set(X3,X4) )
& ( subset(X4,X3)
| ~ equal_set(X3,X4) )
& ( ~ subset(X3,X4)
| ~ subset(X4,X3)
| equal_set(X3,X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[equal_set])])])])]) ).
cnf(c_0_20,plain,
( member(X1,X2)
| ~ member(X1,difference(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,negated_conjecture,
( member(esk1_2(union(X1,esk4_0),esk5_0),X1)
| subset(union(X1,esk4_0),esk5_0) ),
inference(pm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_22,plain,
( subset(X1,union(X2,X3))
| ~ member(esk1_2(X1,union(X2,X3)),X2) ),
inference(pm,[status(thm)],[c_0_16,c_0_18]) ).
cnf(c_0_23,plain,
( member(X1,difference(X2,X3))
| member(X1,X3)
| ~ member(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_24,negated_conjecture,
~ equal_set(union(difference(esk5_0,esk4_0),esk4_0),esk5_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_25,plain,
( equal_set(X1,X2)
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_26,negated_conjecture,
( member(esk1_2(union(difference(X1,X2),esk4_0),esk5_0),X1)
| subset(union(difference(X1,X2),esk4_0),esk5_0) ),
inference(pm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_27,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_28,plain,
( member(esk1_2(X1,union(difference(X2,X3),X4)),X3)
| subset(X1,union(difference(X2,X3),X4))
| ~ member(esk1_2(X1,union(difference(X2,X3),X4)),X2) ),
inference(pm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_29,negated_conjecture,
( ~ subset(esk5_0,union(difference(esk5_0,esk4_0),esk4_0))
| ~ subset(union(difference(esk5_0,esk4_0),esk4_0),esk5_0) ),
inference(pm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_30,negated_conjecture,
subset(union(difference(esk5_0,X1),esk4_0),esk5_0),
inference(pm,[status(thm)],[c_0_16,c_0_26]) ).
cnf(c_0_31,plain,
( subset(X1,union(X2,X3))
| ~ member(esk1_2(X1,union(X2,X3)),X3) ),
inference(pm,[status(thm)],[c_0_16,c_0_27]) ).
cnf(c_0_32,plain,
( member(esk1_2(X1,union(difference(X1,X2),X3)),X2)
| subset(X1,union(difference(X1,X2),X3)) ),
inference(pm,[status(thm)],[c_0_28,c_0_12]) ).
cnf(c_0_33,negated_conjecture,
~ subset(esk5_0,union(difference(esk5_0,esk4_0),esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_30])]) ).
cnf(c_0_34,plain,
subset(X1,union(difference(X1,X2),X2)),
inference(pm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_35,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_34])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET595+4 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 10 10:17:22 EDT 2022
% 0.18/0.33 % CPUTime :
% 0.32/23.39 eprover: CPU time limit exceeded, terminating
% 0.32/23.39 eprover: CPU time limit exceeded, terminating
% 0.32/23.40 eprover: CPU time limit exceeded, terminating
% 0.32/23.42 eprover: CPU time limit exceeded, terminating
% 0.44/46.42 eprover: CPU time limit exceeded, terminating
% 0.44/46.42 eprover: CPU time limit exceeded, terminating
% 0.44/46.43 eprover: CPU time limit exceeded, terminating
% 0.44/46.44 eprover: CPU time limit exceeded, terminating
% 0.56/69.44 eprover: CPU time limit exceeded, terminating
% 0.56/69.45 eprover: CPU time limit exceeded, terminating
% 0.56/69.45 eprover: CPU time limit exceeded, terminating
% 0.56/69.45 eprover: CPU time limit exceeded, terminating
% 0.68/92.46 eprover: CPU time limit exceeded, terminating
% 0.68/92.47 eprover: CPU time limit exceeded, terminating
% 0.68/92.47 eprover: CPU time limit exceeded, terminating
% 0.68/92.48 eprover: CPU time limit exceeded, terminating
% 0.71/99.89 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.71/99.89
% 0.71/99.89 # Failure: Resource limit exceeded (time)
% 0.71/99.89 # OLD status Res
% 0.71/99.89 # Preprocessing time : 0.016 s
% 0.71/99.89 # Running protocol protocol_eprover_773c90a94152ea2e8c9d3df9c4b1eb6152c40c03 for 23 seconds:
% 0.71/99.89
% 0.71/99.89 # Failure: Resource limit exceeded (time)
% 0.71/99.89 # OLD status Res
% 0.71/99.89 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,,100,1.0)
% 0.71/99.89 # Preprocessing time : 0.008 s
% 0.71/99.89 # Running protocol protocol_eprover_75515770aeb32f68e33e9fbd9dff93f5a2e34f2e for 23 seconds:
% 0.71/99.89
% 0.71/99.89 # Failure: Resource limit exceeded (time)
% 0.71/99.89 # OLD status Res
% 0.71/99.89 # Preprocessing time : 0.016 s
% 0.71/99.89 # Running protocol protocol_eprover_6c565d2524e660970ec2a72c26d577f665a55420 for 23 seconds:
% 0.71/99.89
% 0.71/99.89 # Failure: Resource limit exceeded (time)
% 0.71/99.89 # OLD status Res
% 0.71/99.89 # Preprocessing time : 0.016 s
% 0.71/99.89 # Running protocol protocol_eprover_750456fc664a9e0b97096ad0f5110b1ead7d782b for 23 seconds:
% 0.71/99.89 # Preprocessing time : 0.017 s
% 0.71/99.89
% 0.71/99.89 # Proof found!
% 0.71/99.89 # SZS status Theorem
% 0.71/99.89 # SZS output start CNFRefutation
% See solution above
% 0.71/99.89 # Proof object total steps : 36
% 0.71/99.89 # Proof object clause steps : 25
% 0.71/99.89 # Proof object formula steps : 11
% 0.71/99.89 # Proof object conjectures : 13
% 0.71/99.89 # Proof object clause conjectures : 10
% 0.71/99.89 # Proof object formula conjectures : 3
% 0.71/99.89 # Proof object initial clauses used : 11
% 0.71/99.89 # Proof object initial formulas used : 5
% 0.71/99.89 # Proof object generating inferences : 12
% 0.71/99.89 # Proof object simplifying inferences : 4
% 0.71/99.89 # Training examples: 0 positive, 0 negative
% 0.71/99.89 # Parsed axioms : 12
% 0.71/99.89 # Removed by relevancy pruning/SinE : 0
% 0.71/99.89 # Initial clauses : 31
% 0.71/99.89 # Removed in clause preprocessing : 0
% 0.71/99.89 # Initial clauses in saturation : 31
% 0.71/99.89 # Processed clauses : 7583
% 0.71/99.89 # ...of these trivial : 176
% 0.71/99.89 # ...subsumed : 1779
% 0.71/99.89 # ...remaining for further processing : 5628
% 0.71/99.89 # Other redundant clauses eliminated : 83
% 0.71/99.89 # Clauses deleted for lack of memory : 335160
% 0.71/99.89 # Backward-subsumed : 30
% 0.71/99.89 # Backward-rewritten : 74
% 0.71/99.89 # Generated clauses : 481504
% 0.71/99.89 # ...of the previous two non-trivial : 474155
% 0.71/99.89 # Contextual simplify-reflections : 202
% 0.71/99.89 # Paramodulations : 481008
% 0.71/99.89 # Factorizations : 308
% 0.71/99.89 # Equation resolutions : 83
% 0.71/99.89 # Current number of processed clauses : 5486
% 0.71/99.89 # Positive orientable unit clauses : 2723
% 0.71/99.89 # Positive unorientable unit clauses: 0
% 0.71/99.89 # Negative unit clauses : 108
% 0.71/99.89 # Non-unit-clauses : 2655
% 0.71/99.89 # Current number of unprocessed clauses: 121879
% 0.71/99.89 # ...number of literals in the above : 311827
% 0.71/99.89 # Current number of archived formulas : 0
% 0.71/99.89 # Current number of archived clauses : 104
% 0.71/99.89 # Clause-clause subsumption calls (NU) : 858007
% 0.71/99.89 # Rec. Clause-clause subsumption calls : 552924
% 0.71/99.89 # Non-unit clause-clause subsumptions : 1780
% 0.71/99.89 # Unit Clause-clause subsumption calls : 595007
% 0.71/99.89 # Rewrite failures with RHS unbound : 0
% 0.71/99.89 # BW rewrite match attempts : 69537
% 0.71/99.89 # BW rewrite match successes : 72
% 0.71/99.89 # Condensation attempts : 0
% 0.71/99.89 # Condensation successes : 0
% 0.71/99.89 # Termbank termtop insertions : 8017143
% 0.71/99.89
% 0.71/99.89 # -------------------------------------------------
% 0.71/99.89 # User time : 6.782 s
% 0.71/99.89 # System time : 0.102 s
% 0.71/99.89 # Total time : 6.884 s
% 0.71/99.89 # Maximum resident set size: 143644 pages
% 0.74/115.49 eprover: CPU time limit exceeded, terminating
% 0.74/115.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.74/115.51 eprover: No such file or directory
% 0.74/115.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.74/115.52 eprover: No such file or directory
% 0.74/115.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.74/115.52 eprover: No such file or directory
% 0.74/115.52 eprover: CPU time limit exceeded, terminating
% 0.74/115.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.74/115.53 eprover: No such file or directory
% 0.74/115.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.74/115.53 eprover: No such file or directory
% 0.74/115.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.74/115.53 eprover: No such file or directory
% 0.74/115.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.74/115.53 eprover: No such file or directory
% 0.74/115.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.74/115.54 eprover: No such file or directory
% 0.74/115.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.74/115.54 eprover: No such file or directory
% 0.74/115.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.74/115.54 eprover: No such file or directory
% 0.74/115.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.74/115.55 eprover: No such file or directory
% 0.74/115.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.74/115.55 eprover: No such file or directory
% 0.74/115.56 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.74/115.56 eprover: No such file or directory
% 0.74/115.56 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.74/115.56 eprover: No such file or directory
%------------------------------------------------------------------------------