TSTP Solution File: SEU193+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU193+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n024.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 09:17:41 EDT 2022
% Result : Theorem 0.22s 1.41s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 3 unt; 0 def)
% Number of atoms : 96 ( 9 equ)
% Maximal formula atoms : 32 ( 5 avg)
% Number of connectives : 129 ( 52 ~; 57 |; 9 &)
% ( 3 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-3 aty)
% Number of variables : 48 ( 6 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d11_relat_1,axiom,
! [X1] :
( relation(X1)
=> ! [X2,X3] :
( relation(X3)
=> ( X3 = relation_dom_restriction(X1,X2)
<=> ! [X4,X5] :
( in(ordered_pair(X4,X5),X3)
<=> ( in(X4,X2)
& in(ordered_pair(X4,X5),X1) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d11_relat_1) ).
fof(d3_relat_1,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> ( subset(X1,X2)
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X1)
=> in(ordered_pair(X3,X4),X2) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d3_relat_1) ).
fof(dt_k7_relat_1,axiom,
! [X1,X2] :
( relation(X1)
=> relation(relation_dom_restriction(X1,X2)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k7_relat_1) ).
fof(t88_relat_1,conjecture,
! [X1,X2] :
( relation(X2)
=> subset(relation_dom_restriction(X2,X1),X2) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t88_relat_1) ).
fof(c_0_4,plain,
! [X6,X7,X8,X9,X10,X9,X10] :
( ( in(X9,X7)
| ~ in(ordered_pair(X9,X10),X8)
| X8 != relation_dom_restriction(X6,X7)
| ~ relation(X8)
| ~ relation(X6) )
& ( in(ordered_pair(X9,X10),X6)
| ~ in(ordered_pair(X9,X10),X8)
| X8 != relation_dom_restriction(X6,X7)
| ~ relation(X8)
| ~ relation(X6) )
& ( ~ in(X9,X7)
| ~ in(ordered_pair(X9,X10),X6)
| in(ordered_pair(X9,X10),X8)
| X8 != relation_dom_restriction(X6,X7)
| ~ relation(X8)
| ~ relation(X6) )
& ( ~ in(ordered_pair(esk5_3(X6,X7,X8),esk6_3(X6,X7,X8)),X8)
| ~ in(esk5_3(X6,X7,X8),X7)
| ~ in(ordered_pair(esk5_3(X6,X7,X8),esk6_3(X6,X7,X8)),X6)
| X8 = relation_dom_restriction(X6,X7)
| ~ relation(X8)
| ~ relation(X6) )
& ( in(esk5_3(X6,X7,X8),X7)
| in(ordered_pair(esk5_3(X6,X7,X8),esk6_3(X6,X7,X8)),X8)
| X8 = relation_dom_restriction(X6,X7)
| ~ relation(X8)
| ~ relation(X6) )
& ( in(ordered_pair(esk5_3(X6,X7,X8),esk6_3(X6,X7,X8)),X6)
| in(ordered_pair(esk5_3(X6,X7,X8),esk6_3(X6,X7,X8)),X8)
| X8 = relation_dom_restriction(X6,X7)
| ~ relation(X8)
| ~ 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)],[d11_relat_1])])])])])])]) ).
fof(c_0_5,plain,
! [X5,X6,X7,X8] :
( ( ~ subset(X5,X6)
| ~ in(ordered_pair(X7,X8),X5)
| in(ordered_pair(X7,X8),X6)
| ~ relation(X6)
| ~ relation(X5) )
& ( in(ordered_pair(esk3_2(X5,X6),esk4_2(X5,X6)),X5)
| subset(X5,X6)
| ~ relation(X6)
| ~ relation(X5) )
& ( ~ in(ordered_pair(esk3_2(X5,X6),esk4_2(X5,X6)),X6)
| subset(X5,X6)
| ~ relation(X6)
| ~ 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)],[d3_relat_1])])])])])])]) ).
cnf(c_0_6,plain,
( in(ordered_pair(X4,X5),X1)
| ~ relation(X1)
| ~ relation(X2)
| X2 != relation_dom_restriction(X1,X3)
| ~ in(ordered_pair(X4,X5),X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
( subset(X1,X2)
| in(ordered_pair(esk3_2(X1,X2),esk4_2(X1,X2)),X1)
| ~ relation(X1)
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_8,plain,
! [X3,X4] :
( ~ relation(X3)
| relation(relation_dom_restriction(X3,X4)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k7_relat_1])])])]) ).
fof(c_0_9,negated_conjecture,
~ ! [X1,X2] :
( relation(X2)
=> subset(relation_dom_restriction(X2,X1),X2) ),
inference(assume_negation,[status(cth)],[t88_relat_1]) ).
cnf(c_0_10,plain,
( subset(X1,X2)
| in(ordered_pair(esk3_2(X1,X2),esk4_2(X1,X2)),X3)
| X1 != relation_dom_restriction(X3,X4)
| ~ relation(X1)
| ~ relation(X3)
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_11,plain,
( relation(relation_dom_restriction(X1,X2))
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_12,negated_conjecture,
( relation(esk2_0)
& ~ subset(relation_dom_restriction(esk2_0,esk1_0),esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).
cnf(c_0_13,plain,
( subset(X1,X2)
| ~ relation(X1)
| ~ relation(X2)
| ~ in(ordered_pair(esk3_2(X1,X2),esk4_2(X1,X2)),X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_14,plain,
( subset(relation_dom_restriction(X1,X2),X3)
| in(ordered_pair(esk3_2(relation_dom_restriction(X1,X2),X3),esk4_2(relation_dom_restriction(X1,X2),X3)),X1)
| ~ relation(X1)
| ~ relation(X3) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_10]),c_0_11]) ).
cnf(c_0_15,negated_conjecture,
~ subset(relation_dom_restriction(esk2_0,esk1_0),esk2_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,plain,
( subset(relation_dom_restriction(X1,X2),X1)
| ~ relation(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_11]) ).
cnf(c_0_17,negated_conjecture,
relation(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU193+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : run_ET %s %d
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 20 04:47:02 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.22/1.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.41 # Preprocessing time : 0.016 s
% 0.22/1.41
% 0.22/1.41 # Proof found!
% 0.22/1.41 # SZS status Theorem
% 0.22/1.41 # SZS output start CNFRefutation
% See solution above
% 0.22/1.41 # Proof object total steps : 19
% 0.22/1.41 # Proof object clause steps : 10
% 0.22/1.41 # Proof object formula steps : 9
% 0.22/1.41 # Proof object conjectures : 6
% 0.22/1.41 # Proof object clause conjectures : 3
% 0.22/1.41 # Proof object formula conjectures : 3
% 0.22/1.41 # Proof object initial clauses used : 6
% 0.22/1.41 # Proof object initial formulas used : 4
% 0.22/1.41 # Proof object generating inferences : 4
% 0.22/1.41 # Proof object simplifying inferences : 4
% 0.22/1.41 # Training examples: 0 positive, 0 negative
% 0.22/1.41 # Parsed axioms : 36
% 0.22/1.41 # Removed by relevancy pruning/SinE : 13
% 0.22/1.41 # Initial clauses : 36
% 0.22/1.41 # Removed in clause preprocessing : 0
% 0.22/1.41 # Initial clauses in saturation : 36
% 0.22/1.41 # Processed clauses : 288
% 0.22/1.41 # ...of these trivial : 0
% 0.22/1.41 # ...subsumed : 140
% 0.22/1.41 # ...remaining for further processing : 148
% 0.22/1.41 # Other redundant clauses eliminated : 0
% 0.22/1.41 # Clauses deleted for lack of memory : 0
% 0.22/1.41 # Backward-subsumed : 6
% 0.22/1.41 # Backward-rewritten : 6
% 0.22/1.41 # Generated clauses : 734
% 0.22/1.41 # ...of the previous two non-trivial : 661
% 0.22/1.41 # Contextual simplify-reflections : 126
% 0.22/1.41 # Paramodulations : 729
% 0.22/1.41 # Factorizations : 0
% 0.22/1.41 # Equation resolutions : 5
% 0.22/1.41 # Current number of processed clauses : 136
% 0.22/1.41 # Positive orientable unit clauses : 13
% 0.22/1.41 # Positive unorientable unit clauses: 0
% 0.22/1.41 # Negative unit clauses : 13
% 0.22/1.41 # Non-unit-clauses : 110
% 0.22/1.41 # Current number of unprocessed clauses: 390
% 0.22/1.41 # ...number of literals in the above : 2018
% 0.22/1.41 # Current number of archived formulas : 0
% 0.22/1.41 # Current number of archived clauses : 12
% 0.22/1.41 # Clause-clause subsumption calls (NU) : 5195
% 0.22/1.41 # Rec. Clause-clause subsumption calls : 2529
% 0.22/1.41 # Non-unit clause-clause subsumptions : 249
% 0.22/1.41 # Unit Clause-clause subsumption calls : 126
% 0.22/1.41 # Rewrite failures with RHS unbound : 0
% 0.22/1.41 # BW rewrite match attempts : 9
% 0.22/1.41 # BW rewrite match successes : 3
% 0.22/1.41 # Condensation attempts : 0
% 0.22/1.41 # Condensation successes : 0
% 0.22/1.41 # Termbank termtop insertions : 14145
% 0.22/1.41
% 0.22/1.41 # -------------------------------------------------
% 0.22/1.41 # User time : 0.040 s
% 0.22/1.41 # System time : 0.004 s
% 0.22/1.41 # Total time : 0.044 s
% 0.22/1.41 # Maximum resident set size: 3536 pages
% 0.22/13.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/13.46 eprover: No such file or directory
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% 0.22/13.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
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% 0.22/13.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/13.48 eprover: No such file or directory
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% 0.22/13.48 eprover: No such file or directory
% 0.22/13.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/13.48 eprover: No such file or directory
% 0.22/13.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
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% 0.22/13.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/13.49 eprover: No such file or directory
% 0.22/13.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/13.49 eprover: No such file or directory
%------------------------------------------------------------------------------