TSTP Solution File: SEU271+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU271+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n004.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 09:18:29 EDT 2022
% Result : Theorem 0.24s 1.40s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 33 ( 11 unt; 0 def)
% Number of atoms : 152 ( 32 equ)
% Maximal formula atoms : 33 ( 4 avg)
% Number of connectives : 197 ( 78 ~; 89 |; 20 &)
% ( 5 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-2 aty)
% Number of variables : 62 ( 4 sgn 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t5_wellord2,conjecture,
! [X1] : antisymmetric(inclusion_relation(X1)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t5_wellord2) ).
fof(d1_wellord2,axiom,
! [X1,X2] :
( relation(X2)
=> ( X2 = inclusion_relation(X1)
<=> ( relation_field(X2) = X1
& ! [X3,X4] :
( ( in(X3,X1)
& in(X4,X1) )
=> ( in(ordered_pair(X3,X4),X2)
<=> subset(X3,X4) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d1_wellord2) ).
fof(d4_relat_2,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( is_antisymmetric_in(X1,X2)
<=> ! [X3,X4] :
( ( in(X3,X2)
& in(X4,X2)
& in(ordered_pair(X3,X4),X1)
& in(ordered_pair(X4,X3),X1) )
=> X3 = X4 ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d4_relat_2) ).
fof(d12_relat_2,axiom,
! [X1] :
( relation(X1)
=> ( antisymmetric(X1)
<=> is_antisymmetric_in(X1,relation_field(X1)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d12_relat_2) ).
fof(dt_k1_wellord2,axiom,
! [X1] : relation(inclusion_relation(X1)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k1_wellord2) ).
fof(d10_xboole_0,axiom,
! [X1,X2] :
( X1 = X2
<=> ( subset(X1,X2)
& subset(X2,X1) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d10_xboole_0) ).
fof(c_0_6,negated_conjecture,
~ ! [X1] : antisymmetric(inclusion_relation(X1)),
inference(assume_negation,[status(cth)],[t5_wellord2]) ).
fof(c_0_7,plain,
! [X5,X6,X7,X8] :
( ( relation_field(X6) = X5
| X6 != inclusion_relation(X5)
| ~ relation(X6) )
& ( ~ in(ordered_pair(X7,X8),X6)
| subset(X7,X8)
| ~ in(X7,X5)
| ~ in(X8,X5)
| X6 != inclusion_relation(X5)
| ~ relation(X6) )
& ( ~ subset(X7,X8)
| in(ordered_pair(X7,X8),X6)
| ~ in(X7,X5)
| ~ in(X8,X5)
| X6 != inclusion_relation(X5)
| ~ relation(X6) )
& ( in(esk2_2(X5,X6),X5)
| relation_field(X6) != X5
| X6 = inclusion_relation(X5)
| ~ relation(X6) )
& ( in(esk3_2(X5,X6),X5)
| relation_field(X6) != X5
| X6 = inclusion_relation(X5)
| ~ relation(X6) )
& ( ~ in(ordered_pair(esk2_2(X5,X6),esk3_2(X5,X6)),X6)
| ~ subset(esk2_2(X5,X6),esk3_2(X5,X6))
| relation_field(X6) != X5
| X6 = inclusion_relation(X5)
| ~ relation(X6) )
& ( in(ordered_pair(esk2_2(X5,X6),esk3_2(X5,X6)),X6)
| subset(esk2_2(X5,X6),esk3_2(X5,X6))
| relation_field(X6) != X5
| X6 = inclusion_relation(X5)
| ~ 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)],[d1_wellord2])])])])])])]) ).
fof(c_0_8,plain,
! [X5,X6,X7,X8,X6] :
( ( ~ is_antisymmetric_in(X5,X6)
| ~ in(X7,X6)
| ~ in(X8,X6)
| ~ in(ordered_pair(X7,X8),X5)
| ~ in(ordered_pair(X8,X7),X5)
| X7 = X8
| ~ relation(X5) )
& ( in(esk4_2(X5,X6),X6)
| is_antisymmetric_in(X5,X6)
| ~ relation(X5) )
& ( in(esk5_2(X5,X6),X6)
| is_antisymmetric_in(X5,X6)
| ~ relation(X5) )
& ( in(ordered_pair(esk4_2(X5,X6),esk5_2(X5,X6)),X5)
| is_antisymmetric_in(X5,X6)
| ~ relation(X5) )
& ( in(ordered_pair(esk5_2(X5,X6),esk4_2(X5,X6)),X5)
| is_antisymmetric_in(X5,X6)
| ~ relation(X5) )
& ( esk4_2(X5,X6) != esk5_2(X5,X6)
| is_antisymmetric_in(X5,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)],[d4_relat_2])])])])])])]) ).
fof(c_0_9,negated_conjecture,
~ antisymmetric(inclusion_relation(esk1_0)),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
fof(c_0_10,plain,
! [X2] :
( ( ~ antisymmetric(X2)
| is_antisymmetric_in(X2,relation_field(X2))
| ~ relation(X2) )
& ( ~ is_antisymmetric_in(X2,relation_field(X2))
| antisymmetric(X2)
| ~ relation(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d12_relat_2])])]) ).
fof(c_0_11,plain,
! [X2] : relation(inclusion_relation(X2)),
inference(variable_rename,[status(thm)],[dt_k1_wellord2]) ).
cnf(c_0_12,plain,
( subset(X4,X3)
| ~ relation(X1)
| X1 != inclusion_relation(X2)
| ~ in(X3,X2)
| ~ in(X4,X2)
| ~ in(ordered_pair(X4,X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,plain,
( is_antisymmetric_in(X1,X2)
| in(ordered_pair(esk5_2(X1,X2),esk4_2(X1,X2)),X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,plain,
( is_antisymmetric_in(X1,X2)
| in(ordered_pair(esk4_2(X1,X2),esk5_2(X1,X2)),X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,negated_conjecture,
~ antisymmetric(inclusion_relation(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_16,plain,
( antisymmetric(X1)
| ~ relation(X1)
| ~ is_antisymmetric_in(X1,relation_field(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,plain,
relation(inclusion_relation(X1)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,plain,
( relation_field(X1) = X2
| ~ relation(X1)
| X1 != inclusion_relation(X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_19,plain,
! [X3,X4,X3,X4] :
( ( subset(X3,X4)
| X3 != X4 )
& ( subset(X4,X3)
| X3 != X4 )
& ( ~ subset(X3,X4)
| ~ subset(X4,X3)
| 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)],[d10_xboole_0])])])])]) ).
cnf(c_0_20,plain,
( is_antisymmetric_in(X1,X2)
| subset(esk5_2(X1,X2),esk4_2(X1,X2))
| X1 != inclusion_relation(X3)
| ~ relation(X1)
| ~ in(esk5_2(X1,X2),X3)
| ~ in(esk4_2(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_21,plain,
( is_antisymmetric_in(X1,X2)
| in(esk5_2(X1,X2),X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_22,plain,
( is_antisymmetric_in(X1,X2)
| in(esk4_2(X1,X2),X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_23,plain,
( is_antisymmetric_in(X1,X2)
| subset(esk4_2(X1,X2),esk5_2(X1,X2))
| X1 != inclusion_relation(X3)
| ~ relation(X1)
| ~ in(esk4_2(X1,X2),X3)
| ~ in(esk5_2(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_12,c_0_14]) ).
cnf(c_0_24,negated_conjecture,
~ is_antisymmetric_in(inclusion_relation(esk1_0),relation_field(inclusion_relation(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]) ).
cnf(c_0_25,plain,
relation_field(inclusion_relation(X1)) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_18]),c_0_17])]) ).
cnf(c_0_26,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_27,plain,
( is_antisymmetric_in(X1,X2)
| subset(esk5_2(X1,X2),esk4_2(X1,X2))
| X1 != inclusion_relation(X2)
| ~ relation(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).
cnf(c_0_28,plain,
( is_antisymmetric_in(X1,X2)
| subset(esk4_2(X1,X2),esk5_2(X1,X2))
| X1 != inclusion_relation(X2)
| ~ relation(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_21]),c_0_22]) ).
cnf(c_0_29,plain,
( is_antisymmetric_in(X1,X2)
| ~ relation(X1)
| esk4_2(X1,X2) != esk5_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_30,negated_conjecture,
~ is_antisymmetric_in(inclusion_relation(esk1_0),esk1_0),
inference(rw,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_31,plain,
( is_antisymmetric_in(X1,X2)
| X1 != inclusion_relation(X2)
| ~ relation(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_29]) ).
cnf(c_0_32,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_17])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU271+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : run_ET %s %d
% 0.13/0.33 % Computer : n004.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 : Sun Jun 19 14:21:38 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.24/1.40 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/1.40 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/1.40 # Preprocessing time : 0.016 s
% 0.24/1.40
% 0.24/1.40 # Proof found!
% 0.24/1.40 # SZS status Theorem
% 0.24/1.40 # SZS output start CNFRefutation
% See solution above
% 0.24/1.40 # Proof object total steps : 33
% 0.24/1.40 # Proof object clause steps : 20
% 0.24/1.40 # Proof object formula steps : 13
% 0.24/1.40 # Proof object conjectures : 7
% 0.24/1.40 # Proof object clause conjectures : 4
% 0.24/1.40 # Proof object formula conjectures : 3
% 0.24/1.40 # Proof object initial clauses used : 11
% 0.24/1.40 # Proof object initial formulas used : 6
% 0.24/1.40 # Proof object generating inferences : 8
% 0.24/1.40 # Proof object simplifying inferences : 11
% 0.24/1.40 # Training examples: 0 positive, 0 negative
% 0.24/1.40 # Parsed axioms : 52
% 0.24/1.40 # Removed by relevancy pruning/SinE : 33
% 0.24/1.40 # Initial clauses : 34
% 0.24/1.40 # Removed in clause preprocessing : 0
% 0.24/1.40 # Initial clauses in saturation : 34
% 0.24/1.40 # Processed clauses : 2945
% 0.24/1.40 # ...of these trivial : 3
% 0.24/1.40 # ...subsumed : 2141
% 0.24/1.40 # ...remaining for further processing : 801
% 0.24/1.40 # Other redundant clauses eliminated : 93
% 0.24/1.40 # Clauses deleted for lack of memory : 0
% 0.24/1.40 # Backward-subsumed : 58
% 0.24/1.40 # Backward-rewritten : 1
% 0.24/1.40 # Generated clauses : 43925
% 0.24/1.40 # ...of the previous two non-trivial : 42527
% 0.24/1.40 # Contextual simplify-reflections : 2280
% 0.24/1.40 # Paramodulations : 43708
% 0.24/1.40 # Factorizations : 90
% 0.24/1.40 # Equation resolutions : 127
% 0.24/1.40 # Current number of processed clauses : 740
% 0.24/1.40 # Positive orientable unit clauses : 8
% 0.24/1.40 # Positive unorientable unit clauses: 0
% 0.24/1.40 # Negative unit clauses : 8
% 0.24/1.40 # Non-unit-clauses : 724
% 0.24/1.40 # Current number of unprocessed clauses: 37839
% 0.24/1.40 # ...number of literals in the above : 240299
% 0.24/1.40 # Current number of archived formulas : 0
% 0.24/1.40 # Current number of archived clauses : 59
% 0.24/1.40 # Clause-clause subsumption calls (NU) : 318851
% 0.24/1.40 # Rec. Clause-clause subsumption calls : 103297
% 0.24/1.40 # Non-unit clause-clause subsumptions : 4303
% 0.24/1.40 # Unit Clause-clause subsumption calls : 143
% 0.24/1.40 # Rewrite failures with RHS unbound : 0
% 0.24/1.40 # BW rewrite match attempts : 1
% 0.24/1.40 # BW rewrite match successes : 1
% 0.24/1.40 # Condensation attempts : 0
% 0.24/1.40 # Condensation successes : 0
% 0.24/1.40 # Termbank termtop insertions : 936213
% 0.24/1.40
% 0.24/1.40 # -------------------------------------------------
% 0.24/1.40 # User time : 0.820 s
% 0.24/1.40 # System time : 0.021 s
% 0.24/1.40 # Total time : 0.841 s
% 0.24/1.40 # Maximum resident set size: 36036 pages
% 0.24/23.40 eprover: CPU time limit exceeded, terminating
% 0.24/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.42 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48 eprover: No such file or directory
%------------------------------------------------------------------------------