%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU209+1 : TPTP v8.1.0. Released v3.3.0.
% 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 09:17:49 EDT 2022
% Result : Theorem 0.24s 1.41s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 30 ( 9 unt; 0 def)
% Number of atoms : 120 ( 29 equ)
% Maximal formula atoms : 26 ( 4 avg)
% Number of connectives : 152 ( 62 ~; 68 |; 12 &)
% ( 5 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 2 con; 0-4 aty)
% Number of variables : 93 ( 13 sgn 43 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d4_relat_1,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( X2 = relation_dom(X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] : in(ordered_pair(X3,X4),X1) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d4_relat_1) ).
fof(d5_tarski,axiom,
! [X1,X2] : ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d5_tarski) ).
fof(d14_relat_1,axiom,
! [X1] :
( relation(X1)
=> ! [X2,X3] :
( X3 = relation_inverse_image(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ? [X5] :
( in(ordered_pair(X4,X5),X1)
& in(X5,X2) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d14_relat_1) ).
fof(commutativity_k2_tarski,axiom,
! [X1,X2] : unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',commutativity_k2_tarski) ).
fof(d3_tarski,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( in(X3,X1)
=> in(X3,X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d3_tarski) ).
fof(t167_relat_1,conjecture,
! [X1,X2] :
( relation(X2)
=> subset(relation_inverse_image(X2,X1),relation_dom(X2)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t167_relat_1) ).
fof(c_0_6,plain,
! [X5,X6,X7,X7,X9,X6,X11] :
( ( ~ in(X7,X6)
| in(ordered_pair(X7,esk5_3(X5,X6,X7)),X5)
| X6 != relation_dom(X5)
| ~ relation(X5) )
& ( ~ in(ordered_pair(X7,X9),X5)
| in(X7,X6)
| X6 != relation_dom(X5)
| ~ relation(X5) )
& ( ~ in(esk6_2(X5,X6),X6)
| ~ in(ordered_pair(esk6_2(X5,X6),X11),X5)
| X6 = relation_dom(X5)
| ~ relation(X5) )
& ( in(esk6_2(X5,X6),X6)
| in(ordered_pair(esk6_2(X5,X6),esk7_2(X5,X6)),X5)
| X6 = relation_dom(X5)
| ~ relation(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)],[d4_relat_1])])])])])])]) ).
fof(c_0_7,plain,
! [X3,X4] : ordered_pair(X3,X4) = unordered_pair(unordered_pair(X3,X4),singleton(X3)),
inference(variable_rename,[status(thm)],[d5_tarski]) ).
fof(c_0_8,plain,
! [X6,X7,X8,X9,X9,X11,X7,X8,X13] :
( ( in(ordered_pair(X9,esk1_4(X6,X7,X8,X9)),X6)
| ~ in(X9,X8)
| X8 != relation_inverse_image(X6,X7)
| ~ relation(X6) )
& ( in(esk1_4(X6,X7,X8,X9),X7)
| ~ in(X9,X8)
| X8 != relation_inverse_image(X6,X7)
| ~ relation(X6) )
& ( ~ in(ordered_pair(X9,X11),X6)
| ~ in(X11,X7)
| in(X9,X8)
| X8 != relation_inverse_image(X6,X7)
| ~ relation(X6) )
& ( ~ in(esk2_3(X6,X7,X8),X8)
| ~ in(ordered_pair(esk2_3(X6,X7,X8),X13),X6)
| ~ in(X13,X7)
| X8 = relation_inverse_image(X6,X7)
| ~ relation(X6) )
& ( in(ordered_pair(esk2_3(X6,X7,X8),esk3_3(X6,X7,X8)),X6)
| in(esk2_3(X6,X7,X8),X8)
| X8 = relation_inverse_image(X6,X7)
| ~ relation(X6) )
& ( in(esk3_3(X6,X7,X8),X7)
| in(esk2_3(X6,X7,X8),X8)
| X8 = relation_inverse_image(X6,X7)
| ~ relation(X6) ) ),
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)],[d14_relat_1])])])])])])]) ).
cnf(c_0_9,plain,
( in(X3,X2)
| ~ relation(X1)
| X2 != relation_dom(X1)
| ~ in(ordered_pair(X3,X4),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_11,plain,
! [X3,X4] : unordered_pair(X3,X4) = unordered_pair(X4,X3),
inference(variable_rename,[status(thm)],[commutativity_k2_tarski]) ).
cnf(c_0_12,plain,
( in(ordered_pair(X4,esk1_4(X1,X3,X2,X4)),X1)
| ~ relation(X1)
| X2 != relation_inverse_image(X1,X3)
| ~ in(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
( in(X3,X2)
| X2 != relation_dom(X1)
| ~ relation(X1)
| ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X1) ),
inference(rw,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,plain,
( in(unordered_pair(unordered_pair(X4,esk1_4(X1,X3,X2,X4)),singleton(X4)),X1)
| X2 != relation_inverse_image(X1,X3)
| ~ relation(X1)
| ~ in(X4,X2) ),
inference(rw,[status(thm)],[c_0_12,c_0_10]) ).
cnf(c_0_16,plain,
( in(X1,X2)
| X2 != relation_dom(X3)
| ~ relation(X3)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X4)),X3) ),
inference(rw,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,esk1_4(X2,X3,X4,X1))),X2)
| X4 != relation_inverse_image(X2,X3)
| ~ relation(X2)
| ~ in(X1,X4) ),
inference(rw,[status(thm)],[c_0_15,c_0_14]) ).
cnf(c_0_18,plain,
( in(X1,X2)
| X3 != relation_inverse_image(X4,X5)
| X2 != relation_dom(X4)
| ~ relation(X4)
| ~ in(X1,X3) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
fof(c_0_19,plain,
! [X4,X5,X6,X4,X5] :
( ( ~ subset(X4,X5)
| ~ in(X6,X4)
| in(X6,X5) )
& ( in(esk4_2(X4,X5),X4)
| subset(X4,X5) )
& ( ~ in(esk4_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)],[d3_tarski])])])])])])]) ).
fof(c_0_20,negated_conjecture,
~ ! [X1,X2] :
( relation(X2)
=> subset(relation_inverse_image(X2,X1),relation_dom(X2)) ),
inference(assume_negation,[status(cth)],[t167_relat_1]) ).
cnf(c_0_21,plain,
( in(X1,X2)
| X2 != relation_dom(X3)
| ~ relation(X3)
| ~ in(X1,relation_inverse_image(X3,X4)) ),
inference(er,[status(thm)],[c_0_18]) ).
cnf(c_0_22,plain,
( subset(X1,X2)
| in(esk4_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_23,negated_conjecture,
( relation(esk16_0)
& ~ subset(relation_inverse_image(esk16_0,esk15_0),relation_dom(esk16_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])]) ).
cnf(c_0_24,plain,
( subset(X1,X2)
| ~ in(esk4_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_25,plain,
( subset(relation_inverse_image(X1,X2),X3)
| in(esk4_2(relation_inverse_image(X1,X2),X3),X4)
| X4 != relation_dom(X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,negated_conjecture,
~ subset(relation_inverse_image(esk16_0,esk15_0),relation_dom(esk16_0)),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_27,plain,
( subset(relation_inverse_image(X1,X2),X3)
| X3 != relation_dom(X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_28,negated_conjecture,
relation(esk16_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_29,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU209+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n003.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 Jun 19 18:56:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.24/1.41 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.24/1.41 # Preprocessing time : 0.016 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 : 30
% 0.24/1.41 # Proof object clause steps : 17
% 0.24/1.41 # Proof object formula steps : 13
% 0.24/1.41 # Proof object conjectures : 6
% 0.24/1.41 # Proof object clause conjectures : 3
% 0.24/1.41 # Proof object formula conjectures : 3
% 0.24/1.41 # Proof object initial clauses used : 8
% 0.24/1.41 # Proof object initial formulas used : 6
% 0.24/1.41 # Proof object generating inferences : 5
% 0.24/1.41 # Proof object simplifying inferences : 6
% 0.24/1.41 # Training examples: 0 positive, 0 negative
% 0.24/1.41 # Parsed axioms : 40
% 0.24/1.41 # Removed by relevancy pruning/SinE : 0
% 0.24/1.41 # Initial clauses : 58
% 0.24/1.41 # Removed in clause preprocessing : 9
% 0.24/1.41 # Initial clauses in saturation : 49
% 0.24/1.41 # Processed clauses : 1682
% 0.24/1.41 # ...of these trivial : 8
% 0.24/1.41 # ...subsumed : 825
% 0.24/1.41 # ...remaining for further processing : 849
% 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 : 23
% 0.24/1.41 # Backward-rewritten : 100
% 0.24/1.41 # Generated clauses : 14852
% 0.24/1.41 # ...of the previous two non-trivial : 12070
% 0.24/1.41 # Contextual simplify-reflections : 762
% 0.24/1.41 # Paramodulations : 14635
% 0.24/1.41 # Factorizations : 8
% 0.24/1.41 # Equation resolutions : 80
% 0.24/1.41 # Current number of processed clauses : 676
% 0.24/1.41 # Positive orientable unit clauses : 68
% 0.24/1.41 # Positive unorientable unit clauses: 1
% 0.24/1.41 # Negative unit clauses : 53
% 0.24/1.41 # Non-unit-clauses : 554
% 0.24/1.41 # Current number of unprocessed clauses: 9635
% 0.24/1.41 # ...number of literals in the above : 51655
% 0.24/1.41 # Current number of archived formulas : 0
% 0.24/1.41 # Current number of archived clauses : 125
% 0.24/1.41 # Clause-clause subsumption calls (NU) : 93021
% 0.24/1.41 # Rec. Clause-clause subsumption calls : 27535
% 0.24/1.41 # Non-unit clause-clause subsumptions : 1430
% 0.24/1.41 # Unit Clause-clause subsumption calls : 15401
% 0.24/1.41 # Rewrite failures with RHS unbound : 0
% 0.24/1.41 # BW rewrite match attempts : 92
% 0.24/1.41 # BW rewrite match successes : 50
% 0.24/1.41 # Condensation attempts : 0
% 0.24/1.41 # Condensation successes : 0
% 0.24/1.41 # Termbank termtop insertions : 300371
% 0.24/1.41
% 0.24/1.41 # -------------------------------------------------
% 0.24/1.41 # User time : 0.290 s
% 0.24/1.41 # System time : 0.011 s
% 0.24/1.41 # Total time : 0.301 s
% 0.24/1.41 # Maximum resident set size: 14576 pages
% 0.24/23.41 eprover: CPU time limit exceeded, terminating
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48 eprover: No such file or directory
%------------------------------------------------------------------------------