TSTP Solution File: SEU373+2 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU373+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n021.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 09:19:28 EDT 2022
% Result : Theorem 0.28s 1.46s
% Output : CNFRefutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 7 unt; 0 def)
% Number of atoms : 105 ( 3 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 130 ( 52 ~; 49 |; 10 &)
% ( 2 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-4 aty)
% Number of variables : 47 ( 0 sgn 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d8_yellow_6,axiom,
! [X1] :
( one_sorted_str(X1)
=> ! [X2] :
( net_str(X2,X1)
=> ! [X3] :
( net_str(X3,X1)
=> ( subnetstr(X3,X1,X2)
<=> ( subrelstr(X3,X2)
& the_mapping(X1,X3) = relation_dom_restr_as_relation_of(the_carrier(X2),the_carrier(X1),the_mapping(X1,X2),the_carrier(X3)) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d8_yellow_6) ).
fof(dt_m1_yellow_6,axiom,
! [X1,X2] :
( ( one_sorted_str(X1)
& net_str(X2,X1) )
=> ! [X3] :
( subnetstr(X3,X1,X2)
=> net_str(X3,X1) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_m1_yellow_6) ).
fof(t19_yellow_6,conjecture,
! [X1] :
( one_sorted_str(X1)
=> ! [X2] :
( net_str(X2,X1)
=> ! [X3] :
( subnetstr(X3,X1,X2)
=> subset(the_carrier(X3),the_carrier(X2)) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t19_yellow_6) ).
fof(d13_yellow_0,axiom,
! [X1] :
( rel_str(X1)
=> ! [X2] :
( rel_str(X2)
=> ( subrelstr(X2,X1)
<=> ( subset(the_carrier(X2),the_carrier(X1))
& subset(the_InternalRel(X2),the_InternalRel(X1)) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d13_yellow_0) ).
fof(dt_m1_yellow_0,axiom,
! [X1] :
( rel_str(X1)
=> ! [X2] :
( subrelstr(X2,X1)
=> rel_str(X2) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_m1_yellow_0) ).
fof(dt_l1_waybel_0,axiom,
! [X1] :
( one_sorted_str(X1)
=> ! [X2] :
( net_str(X2,X1)
=> rel_str(X2) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_l1_waybel_0) ).
fof(c_0_6,plain,
! [X4,X5,X6] :
( ( subrelstr(X6,X5)
| ~ subnetstr(X6,X4,X5)
| ~ net_str(X6,X4)
| ~ net_str(X5,X4)
| ~ one_sorted_str(X4) )
& ( the_mapping(X4,X6) = relation_dom_restr_as_relation_of(the_carrier(X5),the_carrier(X4),the_mapping(X4,X5),the_carrier(X6))
| ~ subnetstr(X6,X4,X5)
| ~ net_str(X6,X4)
| ~ net_str(X5,X4)
| ~ one_sorted_str(X4) )
& ( ~ subrelstr(X6,X5)
| the_mapping(X4,X6) != relation_dom_restr_as_relation_of(the_carrier(X5),the_carrier(X4),the_mapping(X4,X5),the_carrier(X6))
| subnetstr(X6,X4,X5)
| ~ net_str(X6,X4)
| ~ net_str(X5,X4)
| ~ one_sorted_str(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d8_yellow_6])])])])])]) ).
fof(c_0_7,plain,
! [X4,X5,X6] :
( ~ one_sorted_str(X4)
| ~ net_str(X5,X4)
| ~ subnetstr(X6,X4,X5)
| net_str(X6,X4) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m1_yellow_6])])])])]) ).
fof(c_0_8,negated_conjecture,
~ ! [X1] :
( one_sorted_str(X1)
=> ! [X2] :
( net_str(X2,X1)
=> ! [X3] :
( subnetstr(X3,X1,X2)
=> subset(the_carrier(X3),the_carrier(X2)) ) ) ),
inference(assume_negation,[status(cth)],[t19_yellow_6]) ).
fof(c_0_9,plain,
! [X3,X4] :
( ( subset(the_carrier(X4),the_carrier(X3))
| ~ subrelstr(X4,X3)
| ~ rel_str(X4)
| ~ rel_str(X3) )
& ( subset(the_InternalRel(X4),the_InternalRel(X3))
| ~ subrelstr(X4,X3)
| ~ rel_str(X4)
| ~ rel_str(X3) )
& ( ~ subset(the_carrier(X4),the_carrier(X3))
| ~ subset(the_InternalRel(X4),the_InternalRel(X3))
| subrelstr(X4,X3)
| ~ rel_str(X4)
| ~ rel_str(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d13_yellow_0])])])])])]) ).
fof(c_0_10,plain,
! [X3,X4] :
( ~ rel_str(X3)
| ~ subrelstr(X4,X3)
| rel_str(X4) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m1_yellow_0])])])])]) ).
cnf(c_0_11,plain,
( subrelstr(X3,X2)
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1)
| ~ net_str(X3,X1)
| ~ subnetstr(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,plain,
( net_str(X1,X2)
| ~ subnetstr(X1,X2,X3)
| ~ net_str(X3,X2)
| ~ one_sorted_str(X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_13,negated_conjecture,
( one_sorted_str(esk1_0)
& net_str(esk2_0,esk1_0)
& subnetstr(esk3_0,esk1_0,esk2_0)
& ~ subset(the_carrier(esk3_0),the_carrier(esk2_0)) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])]) ).
fof(c_0_14,plain,
! [X3,X4] :
( ~ one_sorted_str(X3)
| ~ net_str(X4,X3)
| rel_str(X4) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_waybel_0])])])])]) ).
cnf(c_0_15,plain,
( subset(the_carrier(X2),the_carrier(X1))
| ~ rel_str(X1)
| ~ rel_str(X2)
| ~ subrelstr(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_16,plain,
( rel_str(X1)
| ~ subrelstr(X1,X2)
| ~ rel_str(X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,plain,
( subrelstr(X1,X2)
| ~ subnetstr(X1,X3,X2)
| ~ net_str(X2,X3)
| ~ one_sorted_str(X3) ),
inference(csr,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_18,negated_conjecture,
subnetstr(esk3_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,negated_conjecture,
net_str(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,negated_conjecture,
one_sorted_str(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_21,plain,
( rel_str(X1)
| ~ net_str(X1,X2)
| ~ one_sorted_str(X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,plain,
( subset(the_carrier(X1),the_carrier(X2))
| ~ subrelstr(X1,X2)
| ~ rel_str(X2) ),
inference(csr,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_23,negated_conjecture,
subrelstr(esk3_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_20])]) ).
cnf(c_0_24,negated_conjecture,
rel_str(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_19]),c_0_20])]) ).
cnf(c_0_25,negated_conjecture,
~ subset(the_carrier(esk3_0),the_carrier(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_26,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]),c_0_25]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU373+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n021.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 Jun 19 23:09:18 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.28/1.46 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.28/1.46 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.28/1.46 # Preprocessing time : 0.054 s
% 0.28/1.46
% 0.28/1.46 # Proof found!
% 0.28/1.46 # SZS status Theorem
% 0.28/1.46 # SZS output start CNFRefutation
% See solution above
% 0.28/1.46 # Proof object total steps : 27
% 0.28/1.46 # Proof object clause steps : 14
% 0.28/1.46 # Proof object formula steps : 13
% 0.28/1.46 # Proof object conjectures : 10
% 0.28/1.46 # Proof object clause conjectures : 7
% 0.28/1.46 # Proof object formula conjectures : 3
% 0.28/1.46 # Proof object initial clauses used : 9
% 0.28/1.46 # Proof object initial formulas used : 6
% 0.28/1.46 # Proof object generating inferences : 3
% 0.28/1.46 # Proof object simplifying inferences : 10
% 0.28/1.46 # Training examples: 0 positive, 0 negative
% 0.28/1.46 # Parsed axioms : 764
% 0.28/1.46 # Removed by relevancy pruning/SinE : 663
% 0.28/1.46 # Initial clauses : 301
% 0.28/1.46 # Removed in clause preprocessing : 4
% 0.28/1.46 # Initial clauses in saturation : 297
% 0.28/1.46 # Processed clauses : 317
% 0.28/1.46 # ...of these trivial : 1
% 0.28/1.46 # ...subsumed : 20
% 0.28/1.46 # ...remaining for further processing : 296
% 0.28/1.46 # Other redundant clauses eliminated : 40
% 0.28/1.46 # Clauses deleted for lack of memory : 0
% 0.28/1.46 # Backward-subsumed : 0
% 0.28/1.46 # Backward-rewritten : 22
% 0.28/1.46 # Generated clauses : 1426
% 0.28/1.46 # ...of the previous two non-trivial : 1397
% 0.28/1.46 # Contextual simplify-reflections : 53
% 0.28/1.46 # Paramodulations : 1382
% 0.28/1.46 # Factorizations : 2
% 0.28/1.46 # Equation resolutions : 43
% 0.28/1.46 # Current number of processed clauses : 235
% 0.28/1.46 # Positive orientable unit clauses : 35
% 0.28/1.46 # Positive unorientable unit clauses: 0
% 0.28/1.46 # Negative unit clauses : 7
% 0.28/1.46 # Non-unit-clauses : 193
% 0.28/1.46 # Current number of unprocessed clauses: 1220
% 0.28/1.46 # ...number of literals in the above : 8157
% 0.28/1.46 # Current number of archived formulas : 0
% 0.28/1.46 # Current number of archived clauses : 22
% 0.28/1.46 # Clause-clause subsumption calls (NU) : 25229
% 0.28/1.46 # Rec. Clause-clause subsumption calls : 3255
% 0.28/1.46 # Non-unit clause-clause subsumptions : 73
% 0.28/1.46 # Unit Clause-clause subsumption calls : 1224
% 0.28/1.46 # Rewrite failures with RHS unbound : 0
% 0.28/1.46 # BW rewrite match attempts : 4
% 0.28/1.46 # BW rewrite match successes : 4
% 0.28/1.46 # Condensation attempts : 0
% 0.28/1.46 # Condensation successes : 0
% 0.28/1.46 # Termbank termtop insertions : 62504
% 0.28/1.46
% 0.28/1.46 # -------------------------------------------------
% 0.28/1.46 # User time : 0.127 s
% 0.28/1.46 # System time : 0.004 s
% 0.28/1.46 # Total time : 0.131 s
% 0.28/1.46 # Maximum resident set size: 6876 pages
% 0.28/23.46 eprover: CPU time limit exceeded, terminating
% 0.28/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.48 eprover: No such file or directory
% 0.28/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.48 eprover: No such file or directory
% 0.28/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.49 eprover: No such file or directory
% 0.28/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.50 eprover: No such file or directory
% 0.28/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.50 eprover: No such file or directory
% 0.28/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.51 eprover: No such file or directory
% 0.28/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.51 eprover: No such file or directory
% 0.28/23.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.52 eprover: No such file or directory
% 0.28/23.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.52 eprover: No such file or directory
% 0.28/23.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.53 eprover: No such file or directory
% 0.28/23.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.54 eprover: No such file or directory
%------------------------------------------------------------------------------