TSTP Solution File: REL009-2 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : REL009-2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n029.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 : 300s
% DateTime : Sat May 4 09:12:50 EDT 2024
% Result : Unsatisfiable 0.17s 0.45s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 19 ( 16 unt; 0 nHn; 7 RR)
% Number of literals : 22 ( 21 equ; 7 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 28 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(converse_additivity_9,axiom,
converse(join(X1,X2)) = join(converse(X1),converse(X2)),
file('/export/starexec/sandbox2/tmp/tmp.4wSTIByfg0/E---3.1_12182.p',converse_additivity_9) ).
cnf(composition_distributivity_7,axiom,
composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
file('/export/starexec/sandbox2/tmp/tmp.4wSTIByfg0/E---3.1_12182.p',composition_distributivity_7) ).
cnf(converse_multiplicativity_10,axiom,
converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
file('/export/starexec/sandbox2/tmp/tmp.4wSTIByfg0/E---3.1_12182.p',converse_multiplicativity_10) ).
cnf(converse_idempotence_8,axiom,
converse(converse(X1)) = X1,
file('/export/starexec/sandbox2/tmp/tmp.4wSTIByfg0/E---3.1_12182.p',converse_idempotence_8) ).
cnf(goals_18,negated_conjecture,
( join(composition(sk1,sk3),composition(sk2,sk3)) != composition(sk2,sk3)
| join(composition(sk3,sk1),composition(sk3,sk2)) != composition(sk3,sk2) ),
file('/export/starexec/sandbox2/tmp/tmp.4wSTIByfg0/E---3.1_12182.p',goals_18) ).
cnf(goals_17,negated_conjecture,
join(sk1,sk2) = sk2,
file('/export/starexec/sandbox2/tmp/tmp.4wSTIByfg0/E---3.1_12182.p',goals_17) ).
cnf(c_0_6,axiom,
converse(join(X1,X2)) = join(converse(X1),converse(X2)),
converse_additivity_9 ).
cnf(c_0_7,axiom,
composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
composition_distributivity_7 ).
cnf(c_0_8,axiom,
converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
converse_multiplicativity_10 ).
cnf(c_0_9,plain,
join(composition(converse(X1),converse(X2)),composition(converse(X1),converse(X3))) = composition(converse(X1),join(converse(X2),converse(X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]),c_0_6]),c_0_8]),c_0_8]) ).
cnf(c_0_10,axiom,
converse(converse(X1)) = X1,
converse_idempotence_8 ).
cnf(c_0_11,negated_conjecture,
( join(composition(sk1,sk3),composition(sk2,sk3)) != composition(sk2,sk3)
| join(composition(sk3,sk1),composition(sk3,sk2)) != composition(sk3,sk2) ),
inference(fof_simplification,[status(thm)],[goals_18]) ).
cnf(c_0_12,plain,
join(composition(X1,converse(X2)),composition(X1,converse(X3))) = composition(X1,join(converse(X2),converse(X3))),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,negated_conjecture,
( join(composition(sk1,sk3),composition(sk2,sk3)) != composition(sk2,sk3)
| join(composition(sk3,sk1),composition(sk3,sk2)) != composition(sk3,sk2) ),
c_0_11 ).
cnf(c_0_14,negated_conjecture,
join(sk1,sk2) = sk2,
goals_17 ).
cnf(c_0_15,plain,
join(composition(X1,converse(X2)),composition(X1,X3)) = composition(X1,join(converse(X2),X3)),
inference(spm,[status(thm)],[c_0_12,c_0_10]) ).
cnf(c_0_16,negated_conjecture,
join(composition(sk3,sk1),composition(sk3,sk2)) != composition(sk3,sk2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_7]),c_0_14])]) ).
cnf(c_0_17,plain,
join(composition(X1,X2),composition(X1,X3)) = composition(X1,join(X2,X3)),
inference(spm,[status(thm)],[c_0_15,c_0_10]) ).
cnf(c_0_18,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17]),c_0_14])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : REL009-2 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.12 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n029.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 09:59:37 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.44 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.4wSTIByfg0/E---3.1_12182.p
% 0.17/0.45 # Version: 3.1.0
% 0.17/0.45 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.45 # Starting new_bool_1 with 300s (1) cores
% 0.17/0.45 # Starting sh5l with 300s (1) cores
% 0.17/0.45 # new_bool_3 with pid 12261 completed with status 0
% 0.17/0.45 # Result found by new_bool_3
% 0.17/0.45 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.45 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.45 # Search class: FUHPM-FFMF21-DFFFFFNN
% 0.17/0.45 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.45 # Starting H----_047_B31_F1_PI_AE_R4_CS_SP_S2S with 181s (1) cores
% 0.17/0.45 # H----_047_B31_F1_PI_AE_R4_CS_SP_S2S with pid 12266 completed with status 0
% 0.17/0.45 # Result found by H----_047_B31_F1_PI_AE_R4_CS_SP_S2S
% 0.17/0.45 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.45 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.45 # Search class: FUHPM-FFMF21-DFFFFFNN
% 0.17/0.45 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.45 # Starting H----_047_B31_F1_PI_AE_R4_CS_SP_S2S with 181s (1) cores
% 0.17/0.45 # Preprocessing time : 0.001 s
% 0.17/0.45
% 0.17/0.45 # Proof found!
% 0.17/0.45 # SZS status Unsatisfiable
% 0.17/0.45 # SZS output start CNFRefutation
% See solution above
% 0.17/0.45 # Parsed axioms : 18
% 0.17/0.45 # Removed by relevancy pruning/SinE : 3
% 0.17/0.45 # Initial clauses : 15
% 0.17/0.45 # Removed in clause preprocessing : 0
% 0.17/0.45 # Initial clauses in saturation : 15
% 0.17/0.45 # Processed clauses : 127
% 0.17/0.45 # ...of these trivial : 33
% 0.17/0.45 # ...subsumed : 48
% 0.17/0.45 # ...remaining for further processing : 46
% 0.17/0.45 # Other redundant clauses eliminated : 0
% 0.17/0.45 # Clauses deleted for lack of memory : 0
% 0.17/0.45 # Backward-subsumed : 0
% 0.17/0.45 # Backward-rewritten : 7
% 0.17/0.45 # Generated clauses : 724
% 0.17/0.45 # ...of the previous two non-redundant : 597
% 0.17/0.45 # ...aggressively subsumed : 0
% 0.17/0.45 # Contextual simplify-reflections : 0
% 0.17/0.45 # Paramodulations : 724
% 0.17/0.45 # Factorizations : 0
% 0.17/0.45 # NegExts : 0
% 0.17/0.45 # Equation resolutions : 0
% 0.17/0.45 # Disequality decompositions : 0
% 0.17/0.45 # Total rewrite steps : 601
% 0.17/0.45 # ...of those cached : 315
% 0.17/0.45 # Propositional unsat checks : 0
% 0.17/0.45 # Propositional check models : 0
% 0.17/0.45 # Propositional check unsatisfiable : 0
% 0.17/0.45 # Propositional clauses : 0
% 0.17/0.45 # Propositional clauses after purity: 0
% 0.17/0.45 # Propositional unsat core size : 0
% 0.17/0.45 # Propositional preprocessing time : 0.000
% 0.17/0.45 # Propositional encoding time : 0.000
% 0.17/0.45 # Propositional solver time : 0.000
% 0.17/0.45 # Success case prop preproc time : 0.000
% 0.17/0.45 # Success case prop encoding time : 0.000
% 0.17/0.45 # Success case prop solver time : 0.000
% 0.17/0.45 # Current number of processed clauses : 39
% 0.17/0.45 # Positive orientable unit clauses : 34
% 0.17/0.45 # Positive unorientable unit clauses: 5
% 0.17/0.45 # Negative unit clauses : 0
% 0.17/0.45 # Non-unit-clauses : 0
% 0.17/0.45 # Current number of unprocessed clauses: 485
% 0.17/0.45 # ...number of literals in the above : 485
% 0.17/0.45 # Current number of archived formulas : 0
% 0.17/0.45 # Current number of archived clauses : 7
% 0.17/0.45 # Clause-clause subsumption calls (NU) : 0
% 0.17/0.45 # Rec. Clause-clause subsumption calls : 0
% 0.17/0.45 # Non-unit clause-clause subsumptions : 0
% 0.17/0.45 # Unit Clause-clause subsumption calls : 16
% 0.17/0.45 # Rewrite failures with RHS unbound : 0
% 0.17/0.45 # BW rewrite match attempts : 105
% 0.17/0.45 # BW rewrite match successes : 91
% 0.17/0.45 # Condensation attempts : 0
% 0.17/0.45 # Condensation successes : 0
% 0.17/0.45 # Termbank termtop insertions : 7835
% 0.17/0.45 # Search garbage collected termcells : 14
% 0.17/0.45
% 0.17/0.45 # -------------------------------------------------
% 0.17/0.45 # User time : 0.010 s
% 0.17/0.45 # System time : 0.001 s
% 0.17/0.45 # Total time : 0.011 s
% 0.17/0.45 # Maximum resident set size: 1648 pages
% 0.17/0.45
% 0.17/0.45 # -------------------------------------------------
% 0.17/0.45 # User time : 0.010 s
% 0.17/0.45 # System time : 0.004 s
% 0.17/0.45 # Total time : 0.014 s
% 0.17/0.45 # Maximum resident set size: 1700 pages
% 0.17/0.45 % E---3.1 exiting
% 0.17/0.46 % E exiting
%------------------------------------------------------------------------------