TSTP Solution File: REL009+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : REL009+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : Mon Jul 18 19:19:02 EDT 2022
% Result : Theorem 0.26s 5.43s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 23 unt; 0 def)
% Number of atoms : 34 ( 33 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 6 ~; 2 |; 3 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 47 ( 0 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goals,conjecture,
! [X1,X2,X3] :
( join(X1,X2) = X2
=> ( join(composition(X1,X3),composition(X2,X3)) = composition(X2,X3)
& join(composition(X3,X1),composition(X3,X2)) = composition(X3,X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',goals) ).
fof(converse_multiplicativity,axiom,
! [X1,X2] : converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',converse_multiplicativity) ).
fof(converse_idempotence,axiom,
! [X1] : converse(converse(X1)) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',converse_idempotence) ).
fof(maddux1_join_commutativity,axiom,
! [X1,X2] : join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',maddux1_join_commutativity) ).
fof(converse_additivity,axiom,
! [X1,X2] : converse(join(X1,X2)) = join(converse(X1),converse(X2)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',converse_additivity) ).
fof(composition_distributivity,axiom,
! [X1,X2,X3] : composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',composition_distributivity) ).
fof(c_0_6,negated_conjecture,
~ ! [X1,X2,X3] :
( join(X1,X2) = X2
=> ( join(composition(X1,X3),composition(X2,X3)) = composition(X2,X3)
& join(composition(X3,X1),composition(X3,X2)) = composition(X3,X2) ) ),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_7,plain,
! [X3,X4] : converse(composition(X3,X4)) = composition(converse(X4),converse(X3)),
inference(variable_rename,[status(thm)],[converse_multiplicativity]) ).
fof(c_0_8,plain,
! [X2] : converse(converse(X2)) = X2,
inference(variable_rename,[status(thm)],[converse_idempotence]) ).
fof(c_0_9,negated_conjecture,
( join(esk1_0,esk2_0) = esk2_0
& ( join(composition(esk1_0,esk3_0),composition(esk2_0,esk3_0)) != composition(esk2_0,esk3_0)
| join(composition(esk4_0,esk1_0),composition(esk4_0,esk2_0)) != composition(esk4_0,esk2_0) ) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])]) ).
fof(c_0_10,plain,
! [X3,X4] : join(X3,X4) = join(X4,X3),
inference(variable_rename,[status(thm)],[maddux1_join_commutativity]) ).
fof(c_0_11,plain,
! [X3,X4] : converse(join(X3,X4)) = join(converse(X3),converse(X4)),
inference(variable_rename,[status(thm)],[converse_additivity]) ).
cnf(c_0_12,plain,
converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,plain,
converse(converse(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_14,plain,
! [X4,X5,X6] : composition(join(X4,X5),X6) = join(composition(X4,X6),composition(X5,X6)),
inference(variable_rename,[status(thm)],[composition_distributivity]) ).
cnf(c_0_15,negated_conjecture,
join(esk1_0,esk2_0) = esk2_0,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_16,plain,
join(X1,X2) = join(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,plain,
converse(join(X1,X2)) = join(converse(X1),converse(X2)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,plain,
converse(composition(converse(X1),X2)) = composition(converse(X2),X1),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_19,plain,
composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,negated_conjecture,
( join(composition(esk4_0,esk1_0),composition(esk4_0,esk2_0)) != composition(esk4_0,esk2_0)
| join(composition(esk1_0,esk3_0),composition(esk2_0,esk3_0)) != composition(esk2_0,esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_21,negated_conjecture,
join(esk2_0,esk1_0) = esk2_0,
inference(rw,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_22,plain,
converse(join(composition(converse(X1),X2),X3)) = join(composition(converse(X2),X1),converse(X3)),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_23,plain,
join(composition(X1,converse(X2)),converse(composition(X2,X3))) = composition(join(X1,converse(X3)),converse(X2)),
inference(spm,[status(thm)],[c_0_19,c_0_12]) ).
cnf(c_0_24,negated_conjecture,
join(composition(esk4_0,esk2_0),composition(esk4_0,esk1_0)) != composition(esk4_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_16]),c_0_16]),c_0_19]),c_0_21])]) ).
cnf(c_0_25,plain,
join(composition(X1,X2),composition(X1,X3)) = composition(X1,join(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_17]),c_0_12]),c_0_13]),c_0_13]),c_0_13]) ).
cnf(c_0_26,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25]),c_0_21])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : REL009+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.14/0.34 % Computer : n024.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Fri Jul 8 10:58:14 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.26/5.43 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.26/5.43 # Preprocessing time : 0.014 s
% 0.26/5.43
% 0.26/5.43 # Proof found!
% 0.26/5.43 # SZS status Theorem
% 0.26/5.43 # SZS output start CNFRefutation
% See solution above
% 0.26/5.43 # Proof object total steps : 27
% 0.26/5.43 # Proof object clause steps : 14
% 0.26/5.43 # Proof object formula steps : 13
% 0.26/5.43 # Proof object conjectures : 8
% 0.26/5.43 # Proof object clause conjectures : 5
% 0.26/5.43 # Proof object formula conjectures : 3
% 0.26/5.43 # Proof object initial clauses used : 7
% 0.26/5.43 # Proof object initial formulas used : 6
% 0.26/5.43 # Proof object generating inferences : 4
% 0.26/5.43 # Proof object simplifying inferences : 14
% 0.26/5.43 # Training examples: 0 positive, 0 negative
% 0.26/5.43 # Parsed axioms : 14
% 0.26/5.43 # Removed by relevancy pruning/SinE : 0
% 0.26/5.43 # Initial clauses : 15
% 0.26/5.43 # Removed in clause preprocessing : 1
% 0.26/5.43 # Initial clauses in saturation : 14
% 0.26/5.43 # Processed clauses : 6316
% 0.26/5.43 # ...of these trivial : 3718
% 0.26/5.43 # ...subsumed : 866
% 0.26/5.43 # ...remaining for further processing : 1732
% 0.26/5.43 # Other redundant clauses eliminated : 0
% 0.26/5.43 # Clauses deleted for lack of memory : 92360
% 0.26/5.43 # Backward-subsumed : 0
% 0.26/5.43 # Backward-rewritten : 475
% 0.26/5.43 # Generated clauses : 278373
% 0.26/5.43 # ...of the previous two non-trivial : 191772
% 0.26/5.43 # Contextual simplify-reflections : 0
% 0.26/5.43 # Paramodulations : 278373
% 0.26/5.43 # Factorizations : 0
% 0.26/5.43 # Equation resolutions : 0
% 0.26/5.43 # Current number of processed clauses : 1257
% 0.26/5.43 # Positive orientable unit clauses : 1246
% 0.26/5.43 # Positive unorientable unit clauses: 11
% 0.26/5.43 # Negative unit clauses : 0
% 0.26/5.43 # Non-unit-clauses : 0
% 0.26/5.43 # Current number of unprocessed clauses: 66789
% 0.26/5.43 # ...number of literals in the above : 66789
% 0.26/5.43 # Current number of archived formulas : 0
% 0.26/5.43 # Current number of archived clauses : 476
% 0.26/5.43 # Clause-clause subsumption calls (NU) : 0
% 0.26/5.43 # Rec. Clause-clause subsumption calls : 0
% 0.26/5.43 # Non-unit clause-clause subsumptions : 0
% 0.26/5.43 # Unit Clause-clause subsumption calls : 73
% 0.26/5.43 # Rewrite failures with RHS unbound : 0
% 0.26/5.43 # BW rewrite match attempts : 12084
% 0.26/5.43 # BW rewrite match successes : 524
% 0.26/5.43 # Condensation attempts : 0
% 0.26/5.43 # Condensation successes : 0
% 0.26/5.43 # Termbank termtop insertions : 5998321
% 0.26/5.43
% 0.26/5.43 # -------------------------------------------------
% 0.26/5.43 # User time : 3.934 s
% 0.26/5.43 # System time : 0.084 s
% 0.26/5.43 # Total time : 4.018 s
% 0.26/5.43 # Maximum resident set size: 147956 pages
% 0.26/23.40 eprover: CPU time limit exceeded, terminating
% 0.26/23.41 eprover: CPU time limit exceeded, terminating
% 0.26/23.41 eprover: CPU time limit exceeded, terminating
% 0.26/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.42 eprover: No such file or directory
% 0.26/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.42 eprover: No such file or directory
% 0.26/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.42 eprover: No such file or directory
% 0.26/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.43 eprover: No such file or directory
% 0.26/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.43 eprover: No such file or directory
% 0.26/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.43 eprover: No such file or directory
% 0.26/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.43 eprover: No such file or directory
% 0.26/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.43 eprover: No such file or directory
% 0.26/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.43 eprover: No such file or directory
% 0.26/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.44 eprover: No such file or directory
% 0.26/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.44 eprover: No such file or directory
% 0.26/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.44 eprover: No such file or directory
% 0.26/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.44 eprover: No such file or directory
% 0.26/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.44 eprover: No such file or directory
% 0.26/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.44 eprover: No such file or directory
% 0.26/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.44 eprover: No such file or directory
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.47 eprover: No such file or directory
%------------------------------------------------------------------------------