TSTP Solution File: SEU248+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU248+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n010.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 09:18:17 EDT 2022
% Result : Theorem 0.37s 22.57s
% Output : CNFRefutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 38 ( 9 unt; 0 def)
% Number of atoms : 158 ( 35 equ)
% Maximal formula atoms : 32 ( 4 avg)
% Number of connectives : 210 ( 90 ~; 96 |; 12 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 2 con; 0-3 aty)
% Number of variables : 118 ( 17 sgn 46 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d12_relat_1,axiom,
! [X1,X2] :
( relation(X2)
=> ! [X3] :
( relation(X3)
=> ( X3 = relation_rng_restriction(X1,X2)
<=> ! [X4,X5] :
( in(ordered_pair(X4,X5),X3)
<=> ( in(X5,X1)
& in(ordered_pair(X4,X5),X2) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d12_relat_1) ).
fof(d5_tarski,axiom,
! [X1,X2] : ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d5_tarski) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d4_relat_1) ).
fof(commutativity_k2_tarski,axiom,
! [X1,X2] : unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',commutativity_k2_tarski) ).
fof(dt_k8_relat_1,axiom,
! [X1,X2] :
( relation(X2)
=> relation(relation_rng_restriction(X1,X2)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k8_relat_1) ).
fof(d3_tarski,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( in(X3,X1)
=> in(X3,X2) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d3_tarski) ).
fof(l29_wellord1,conjecture,
! [X1,X2] :
( relation(X2)
=> subset(relation_dom(relation_rng_restriction(X1,X2)),relation_dom(X2)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',l29_wellord1) ).
fof(c_0_7,plain,
! [X6,X7,X8,X9,X10,X9,X10] :
( ( in(X10,X6)
| ~ in(ordered_pair(X9,X10),X8)
| X8 != relation_rng_restriction(X6,X7)
| ~ relation(X8)
| ~ relation(X7) )
& ( in(ordered_pair(X9,X10),X7)
| ~ in(ordered_pair(X9,X10),X8)
| X8 != relation_rng_restriction(X6,X7)
| ~ relation(X8)
| ~ relation(X7) )
& ( ~ in(X10,X6)
| ~ in(ordered_pair(X9,X10),X7)
| in(ordered_pair(X9,X10),X8)
| X8 != relation_rng_restriction(X6,X7)
| ~ relation(X8)
| ~ relation(X7) )
& ( ~ in(ordered_pair(esk1_3(X6,X7,X8),esk2_3(X6,X7,X8)),X8)
| ~ in(esk2_3(X6,X7,X8),X6)
| ~ in(ordered_pair(esk1_3(X6,X7,X8),esk2_3(X6,X7,X8)),X7)
| X8 = relation_rng_restriction(X6,X7)
| ~ relation(X8)
| ~ relation(X7) )
& ( in(esk2_3(X6,X7,X8),X6)
| in(ordered_pair(esk1_3(X6,X7,X8),esk2_3(X6,X7,X8)),X8)
| X8 = relation_rng_restriction(X6,X7)
| ~ relation(X8)
| ~ relation(X7) )
& ( in(ordered_pair(esk1_3(X6,X7,X8),esk2_3(X6,X7,X8)),X7)
| in(ordered_pair(esk1_3(X6,X7,X8),esk2_3(X6,X7,X8)),X8)
| X8 = relation_rng_restriction(X6,X7)
| ~ relation(X8)
| ~ relation(X7) ) ),
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)],[d12_relat_1])])])])])])]) ).
fof(c_0_8,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_9,plain,
! [X5,X6,X7,X7,X9,X6,X11] :
( ( ~ in(X7,X6)
| in(ordered_pair(X7,esk4_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(esk5_2(X5,X6),X6)
| ~ in(ordered_pair(esk5_2(X5,X6),X11),X5)
| X6 = relation_dom(X5)
| ~ relation(X5) )
& ( in(esk5_2(X5,X6),X6)
| in(ordered_pair(esk5_2(X5,X6),esk6_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])])])])])])]) ).
cnf(c_0_10,plain,
( in(ordered_pair(X4,X5),X1)
| ~ relation(X1)
| ~ relation(X2)
| X2 != relation_rng_restriction(X3,X1)
| ~ in(ordered_pair(X4,X5),X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_12,plain,
! [X3,X4] : unordered_pair(X3,X4) = unordered_pair(X4,X3),
inference(variable_rename,[status(thm)],[commutativity_k2_tarski]) ).
cnf(c_0_13,plain,
( in(ordered_pair(X3,esk4_3(X1,X2,X3)),X1)
| ~ relation(X1)
| X2 != relation_dom(X1)
| ~ in(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
( in(unordered_pair(unordered_pair(X4,X5),singleton(X4)),X1)
| X2 != relation_rng_restriction(X3,X1)
| ~ relation(X2)
| ~ relation(X1)
| ~ in(unordered_pair(unordered_pair(X4,X5),singleton(X4)),X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11]),c_0_11]) ).
cnf(c_0_15,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,plain,
( in(unordered_pair(unordered_pair(X3,esk4_3(X1,X2,X3)),singleton(X3)),X1)
| X2 != relation_dom(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
inference(rw,[status(thm)],[c_0_13,c_0_11]) ).
cnf(c_0_17,plain,
( in(X3,X2)
| ~ relation(X1)
| X2 != relation_dom(X1)
| ~ in(ordered_pair(X3,X4),X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_18,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),X3)
| X4 != relation_rng_restriction(X5,X3)
| ~ relation(X4)
| ~ relation(X3)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),X4) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15]),c_0_15]) ).
cnf(c_0_19,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,esk4_3(X2,X3,X1))),X2)
| X3 != relation_dom(X2)
| ~ relation(X2)
| ~ in(X1,X3) ),
inference(rw,[status(thm)],[c_0_16,c_0_15]) ).
fof(c_0_20,plain,
! [X3,X4] :
( ~ relation(X4)
| relation(relation_rng_restriction(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k8_relat_1])]) ).
cnf(c_0_21,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_17,c_0_11]) ).
cnf(c_0_22,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,esk4_3(X2,X3,X1))),X4)
| X2 != relation_rng_restriction(X5,X4)
| X3 != relation_dom(X2)
| ~ relation(X2)
| ~ relation(X4)
| ~ in(X1,X3) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,plain,
( relation(relation_rng_restriction(X1,X2))
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_24,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_21,c_0_15]) ).
cnf(c_0_25,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,esk4_3(relation_rng_restriction(X2,X3),X4,X1))),X3)
| X4 != relation_dom(relation_rng_restriction(X2,X3))
| ~ relation(X3)
| ~ in(X1,X4) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_22]),c_0_23]) ).
cnf(c_0_26,plain,
( in(X1,X2)
| X3 != relation_dom(relation_rng_restriction(X4,X5))
| X2 != relation_dom(X5)
| ~ relation(X5)
| ~ in(X1,X3) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
fof(c_0_27,plain,
! [X4,X5,X6,X4,X5] :
( ( ~ subset(X4,X5)
| ~ in(X6,X4)
| in(X6,X5) )
& ( in(esk3_2(X4,X5),X4)
| subset(X4,X5) )
& ( ~ in(esk3_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_28,negated_conjecture,
~ ! [X1,X2] :
( relation(X2)
=> subset(relation_dom(relation_rng_restriction(X1,X2)),relation_dom(X2)) ),
inference(assume_negation,[status(cth)],[l29_wellord1]) ).
cnf(c_0_29,plain,
( in(X1,X2)
| X2 != relation_dom(X3)
| ~ relation(X3)
| ~ in(X1,relation_dom(relation_rng_restriction(X4,X3))) ),
inference(er,[status(thm)],[c_0_26]) ).
cnf(c_0_30,plain,
( subset(X1,X2)
| in(esk3_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_31,negated_conjecture,
( relation(esk9_0)
& ~ subset(relation_dom(relation_rng_restriction(esk8_0,esk9_0)),relation_dom(esk9_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])]) ).
cnf(c_0_32,plain,
( subset(X1,X2)
| ~ in(esk3_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_33,plain,
( subset(relation_dom(relation_rng_restriction(X1,X2)),X3)
| in(esk3_2(relation_dom(relation_rng_restriction(X1,X2)),X3),X4)
| X4 != relation_dom(X2)
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_34,negated_conjecture,
~ subset(relation_dom(relation_rng_restriction(esk8_0,esk9_0)),relation_dom(esk9_0)),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_35,plain,
( subset(relation_dom(relation_rng_restriction(X1,X2)),X3)
| X3 != relation_dom(X2)
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_36,negated_conjecture,
relation(esk9_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_37,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU248+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n010.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 13:01:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.37/22.57 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.37/22.57 # Preprocessing time : 0.017 s
% 0.37/22.57
% 0.37/22.57 # Proof found!
% 0.37/22.57 # SZS status Theorem
% 0.37/22.57 # SZS output start CNFRefutation
% See solution above
% 0.37/22.57 # Proof object total steps : 38
% 0.37/22.57 # Proof object clause steps : 23
% 0.37/22.57 # Proof object formula steps : 15
% 0.37/22.57 # Proof object conjectures : 6
% 0.37/22.57 # Proof object clause conjectures : 3
% 0.37/22.57 # Proof object formula conjectures : 3
% 0.37/22.57 # Proof object initial clauses used : 10
% 0.37/22.57 # Proof object initial formulas used : 7
% 0.37/22.57 # Proof object generating inferences : 7
% 0.37/22.57 # Proof object simplifying inferences : 11
% 0.37/22.57 # Training examples: 0 positive, 0 negative
% 0.37/22.57 # Parsed axioms : 35
% 0.37/22.57 # Removed by relevancy pruning/SinE : 0
% 0.37/22.57 # Initial clauses : 55
% 0.37/22.57 # Removed in clause preprocessing : 10
% 0.37/22.57 # Initial clauses in saturation : 45
% 0.37/22.57 # Processed clauses : 23514
% 0.37/22.57 # ...of these trivial : 38
% 0.37/22.57 # ...subsumed : 15220
% 0.37/22.57 # ...remaining for further processing : 8256
% 0.37/22.57 # Other redundant clauses eliminated : 0
% 0.37/22.57 # Clauses deleted for lack of memory : 464666
% 0.37/22.57 # Backward-subsumed : 1014
% 0.37/22.57 # Backward-rewritten : 595
% 0.37/22.57 # Generated clauses : 702104
% 0.37/22.57 # ...of the previous two non-trivial : 696061
% 0.37/22.57 # Contextual simplify-reflections : 15803
% 0.37/22.57 # Paramodulations : 700275
% 0.37/22.57 # Factorizations : 530
% 0.37/22.57 # Equation resolutions : 703
% 0.37/22.57 # Current number of processed clauses : 6336
% 0.37/22.57 # Positive orientable unit clauses : 64
% 0.37/22.57 # Positive unorientable unit clauses: 1
% 0.37/22.57 # Negative unit clauses : 80
% 0.37/22.57 # Non-unit-clauses : 6191
% 0.37/22.57 # Current number of unprocessed clauses: 107498
% 0.37/22.57 # ...number of literals in the above : 699112
% 0.37/22.57 # Current number of archived formulas : 0
% 0.37/22.57 # Current number of archived clauses : 1647
% 0.37/22.57 # Clause-clause subsumption calls (NU) : 28109523
% 0.37/22.57 # Rec. Clause-clause subsumption calls : 4686978
% 0.37/22.57 # Non-unit clause-clause subsumptions : 29461
% 0.37/22.57 # Unit Clause-clause subsumption calls : 213808
% 0.37/22.57 # Rewrite failures with RHS unbound : 0
% 0.37/22.57 # BW rewrite match attempts : 117
% 0.37/22.57 # BW rewrite match successes : 55
% 0.37/22.57 # Condensation attempts : 0
% 0.37/22.57 # Condensation successes : 0
% 0.37/22.57 # Termbank termtop insertions : 33450128
% 0.37/22.57
% 0.37/22.57 # -------------------------------------------------
% 0.37/22.57 # User time : 21.031 s
% 0.37/22.57 # System time : 0.137 s
% 0.37/22.57 # Total time : 21.168 s
% 0.37/22.57 # Maximum resident set size: 145168 pages
% 0.37/23.41 eprover: CPU time limit exceeded, terminating
% 0.37/23.42 eprover: CPU time limit exceeded, terminating
% 0.37/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.43 eprover: No such file or directory
% 0.37/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.43 eprover: No such file or directory
% 0.37/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.43 eprover: No such file or directory
% 0.37/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.44 eprover: No such file or directory
% 0.37/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.44 eprover: No such file or directory
% 0.37/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.44 eprover: No such file or directory
% 0.37/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.44 eprover: No such file or directory
% 0.37/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.44 eprover: No such file or directory
% 0.37/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.45 eprover: No such file or directory
% 0.37/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.45 eprover: No such file or directory
% 0.37/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.45 eprover: No such file or directory
% 0.37/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.45 eprover: No such file or directory
% 0.37/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.46 eprover: No such file or directory
% 0.37/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.46 eprover: No such file or directory
% 0.37/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.46 eprover: No such file or directory
% 0.37/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.46 eprover: No such file or directory
% 0.37/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.46 eprover: No such file or directory
% 0.37/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.47 eprover: No such file or directory
% 0.37/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.47 eprover: No such file or directory
% 0.37/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.47 eprover: No such file or directory
% 0.37/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.48 eprover: No such file or directory
% 0.37/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.48 eprover: No such file or directory
%------------------------------------------------------------------------------