%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU362+2 : 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 09:19:22 EDT 2022
% Result : Theorem 0.28s 1.45s
% Output : CNFRefutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 38 ( 19 unt; 0 def)
% Number of atoms : 126 ( 8 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 135 ( 47 ~; 44 |; 19 &)
% ( 3 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 51 ( 2 sgn 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t60_yellow_0,conjecture,
! [X1] :
( rel_str(X1)
=> ! [X2] :
( subrelstr(X2,X1)
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ! [X4] :
( element(X4,the_carrier(X1))
=> ! [X5] :
( element(X5,the_carrier(X2))
=> ! [X6] :
( element(X6,the_carrier(X2))
=> ( ( X5 = X3
& X6 = X4
& related(X2,X5,X6) )
=> related(X1,X3,X4) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t60_yellow_0) ).
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',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',dt_m1_yellow_0) ).
fof(d9_orders_2,axiom,
! [X1] :
( rel_str(X1)
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ( related(X1,X2,X3)
<=> in(ordered_pair(X2,X3),the_InternalRel(X1)) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',d9_orders_2) ).
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',d3_tarski) ).
fof(c_0_5,negated_conjecture,
~ ! [X1] :
( rel_str(X1)
=> ! [X2] :
( subrelstr(X2,X1)
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ! [X4] :
( element(X4,the_carrier(X1))
=> ! [X5] :
( element(X5,the_carrier(X2))
=> ! [X6] :
( element(X6,the_carrier(X2))
=> ( ( X5 = X3
& X6 = X4
& related(X2,X5,X6) )
=> related(X1,X3,X4) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[t60_yellow_0]) ).
fof(c_0_6,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_7,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])])])])]) ).
fof(c_0_8,negated_conjecture,
( rel_str(esk1_0)
& subrelstr(esk2_0,esk1_0)
& element(esk3_0,the_carrier(esk1_0))
& element(esk4_0,the_carrier(esk1_0))
& element(esk5_0,the_carrier(esk2_0))
& element(esk6_0,the_carrier(esk2_0))
& esk5_0 = esk3_0
& esk6_0 = esk4_0
& related(esk2_0,esk5_0,esk6_0)
& ~ related(esk1_0,esk3_0,esk4_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_5])])])])]) ).
cnf(c_0_9,plain,
( subset(the_InternalRel(X2),the_InternalRel(X1))
| ~ rel_str(X1)
| ~ rel_str(X2)
| ~ subrelstr(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( rel_str(X1)
| ~ subrelstr(X1,X2)
| ~ rel_str(X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_11,plain,
! [X4,X5,X6] :
( ( ~ related(X4,X5,X6)
| in(ordered_pair(X5,X6),the_InternalRel(X4))
| ~ element(X6,the_carrier(X4))
| ~ element(X5,the_carrier(X4))
| ~ rel_str(X4) )
& ( ~ in(ordered_pair(X5,X6),the_InternalRel(X4))
| related(X4,X5,X6)
| ~ element(X6,the_carrier(X4))
| ~ element(X5,the_carrier(X4))
| ~ rel_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)],[d9_orders_2])])])])])]) ).
cnf(c_0_12,negated_conjecture,
subrelstr(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
rel_str(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_14,plain,
! [X4,X5,X6,X4,X5] :
( ( ~ subset(X4,X5)
| ~ in(X6,X4)
| in(X6,X5) )
& ( in(esk11_2(X4,X5),X4)
| subset(X4,X5) )
& ( ~ in(esk11_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])])])])])])]) ).
cnf(c_0_15,plain,
( subset(the_InternalRel(X1),the_InternalRel(X2))
| ~ subrelstr(X1,X2)
| ~ rel_str(X2) ),
inference(csr,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_16,plain,
( in(ordered_pair(X2,X3),the_InternalRel(X1))
| ~ rel_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| ~ related(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,negated_conjecture,
element(esk6_0,the_carrier(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_18,negated_conjecture,
rel_str(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_12]),c_0_13])]) ).
cnf(c_0_19,negated_conjecture,
related(esk2_0,esk5_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_20,negated_conjecture,
esk5_0 = esk3_0,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_21,negated_conjecture,
element(esk5_0,the_carrier(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_22,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ subset(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_23,negated_conjecture,
subset(the_InternalRel(esk2_0),the_InternalRel(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_12]),c_0_13])]) ).
cnf(c_0_24,negated_conjecture,
( in(ordered_pair(X1,esk6_0),the_InternalRel(esk2_0))
| ~ related(esk2_0,X1,esk6_0)
| ~ element(X1,the_carrier(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]) ).
cnf(c_0_25,negated_conjecture,
related(esk2_0,esk3_0,esk6_0),
inference(rw,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_26,negated_conjecture,
element(esk3_0,the_carrier(esk2_0)),
inference(rw,[status(thm)],[c_0_21,c_0_20]) ).
cnf(c_0_27,negated_conjecture,
( in(X1,the_InternalRel(esk1_0))
| ~ in(X1,the_InternalRel(esk2_0)) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_28,negated_conjecture,
in(ordered_pair(esk3_0,esk6_0),the_InternalRel(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]) ).
cnf(c_0_29,negated_conjecture,
element(esk4_0,the_carrier(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_30,negated_conjecture,
esk6_0 = esk4_0,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_31,negated_conjecture,
~ related(esk1_0,esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_32,plain,
( related(X1,X2,X3)
| ~ rel_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| ~ in(ordered_pair(X2,X3),the_InternalRel(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_33,negated_conjecture,
in(ordered_pair(esk3_0,esk6_0),the_InternalRel(esk1_0)),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_34,negated_conjecture,
element(esk6_0,the_carrier(esk1_0)),
inference(rw,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_35,negated_conjecture,
element(esk3_0,the_carrier(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_36,negated_conjecture,
~ related(esk1_0,esk3_0,esk6_0),
inference(rw,[status(thm)],[c_0_31,c_0_30]) ).
cnf(c_0_37,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]),c_0_35]),c_0_13])]),c_0_36]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SEU362+2 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12 % Command : run_ET %s %d
% 0.11/0.33 % Computer : n024.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Sun Jun 19 02:23:32 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.28/1.45 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.28/1.45 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.28/1.45 # Preprocessing time : 0.038 s
% 0.28/1.45
% 0.28/1.45 # Proof found!
% 0.28/1.45 # SZS status Theorem
% 0.28/1.45 # SZS output start CNFRefutation
% See solution above
% 0.28/1.45 # Proof object total steps : 38
% 0.28/1.45 # Proof object clause steps : 27
% 0.28/1.45 # Proof object formula steps : 11
% 0.28/1.45 # Proof object conjectures : 24
% 0.28/1.45 # Proof object clause conjectures : 21
% 0.28/1.45 # Proof object formula conjectures : 3
% 0.28/1.45 # Proof object initial clauses used : 15
% 0.28/1.45 # Proof object initial formulas used : 5
% 0.28/1.45 # Proof object generating inferences : 7
% 0.28/1.45 # Proof object simplifying inferences : 18
% 0.28/1.45 # Training examples: 0 positive, 0 negative
% 0.28/1.45 # Parsed axioms : 691
% 0.28/1.45 # Removed by relevancy pruning/SinE : 669
% 0.28/1.45 # Initial clauses : 49
% 0.28/1.45 # Removed in clause preprocessing : 0
% 0.28/1.45 # Initial clauses in saturation : 49
% 0.28/1.45 # Processed clauses : 388
% 0.28/1.45 # ...of these trivial : 0
% 0.28/1.45 # ...subsumed : 7
% 0.28/1.45 # ...remaining for further processing : 381
% 0.28/1.45 # Other redundant clauses eliminated : 2
% 0.28/1.45 # Clauses deleted for lack of memory : 0
% 0.28/1.45 # Backward-subsumed : 0
% 0.28/1.45 # Backward-rewritten : 0
% 0.28/1.45 # Generated clauses : 863
% 0.28/1.45 # ...of the previous two non-trivial : 652
% 0.28/1.45 # Contextual simplify-reflections : 2
% 0.28/1.45 # Paramodulations : 839
% 0.28/1.45 # Factorizations : 0
% 0.28/1.45 # Equation resolutions : 24
% 0.28/1.45 # Current number of processed clauses : 379
% 0.28/1.45 # Positive orientable unit clauses : 258
% 0.28/1.45 # Positive unorientable unit clauses: 0
% 0.28/1.45 # Negative unit clauses : 2
% 0.28/1.45 # Non-unit-clauses : 119
% 0.28/1.45 # Current number of unprocessed clauses: 313
% 0.28/1.45 # ...number of literals in the above : 502
% 0.28/1.45 # Current number of archived formulas : 0
% 0.28/1.45 # Current number of archived clauses : 0
% 0.28/1.45 # Clause-clause subsumption calls (NU) : 1110
% 0.28/1.45 # Rec. Clause-clause subsumption calls : 948
% 0.28/1.45 # Non-unit clause-clause subsumptions : 8
% 0.28/1.45 # Unit Clause-clause subsumption calls : 155
% 0.28/1.45 # Rewrite failures with RHS unbound : 0
% 0.28/1.45 # BW rewrite match attempts : 4466
% 0.28/1.45 # BW rewrite match successes : 0
% 0.28/1.45 # Condensation attempts : 0
% 0.28/1.45 # Condensation successes : 0
% 0.28/1.45 # Termbank termtop insertions : 33203
% 0.28/1.45
% 0.28/1.45 # -------------------------------------------------
% 0.28/1.45 # User time : 0.058 s
% 0.28/1.45 # System time : 0.006 s
% 0.28/1.45 # Total time : 0.064 s
% 0.28/1.45 # Maximum resident set size: 5848 pages
% 0.28/23.44 eprover: CPU time limit exceeded, terminating
% 0.28/23.45 eprover: CPU time limit exceeded, terminating
% 0.28/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.47 eprover: No such file or directory
% 0.28/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.47 eprover: No such file or directory
% 0.28/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.47 eprover: No such file or directory
% 0.28/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.47 eprover: No such file or directory
% 0.28/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 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
% 0.28/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 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
% 0.28/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 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.mepo_128.in
% 0.28/23.49 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
% 0.28/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.49 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.mepo_128.in
% 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
% 0.28/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 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
% 0.28/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 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
% 0.28/23.51 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
%------------------------------------------------------------------------------