TSTP Solution File: CAT012-1 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : CAT012-1 : TPTP v8.2.0. Released v1.0.0.
% 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 : Mon May 20 18:59:34 EDT 2024
% Result : Unsatisfiable 0.16s 0.41s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 19 ( 10 unt; 0 nHn; 13 RR)
% Number of literals : 34 ( 8 equ; 18 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 28 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(composition_is_well_defined,axiom,
( X3 = X4
| ~ product(X1,X2,X3)
| ~ product(X1,X2,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',composition_is_well_defined) ).
cnf(identity2,axiom,
( product(X1,X2,X1)
| ~ defined(X1,X2)
| ~ identity_map(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',identity2) ).
cnf(product_on_codomain,axiom,
product(codomain(X1),X1,X1),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',product_on_codomain) ).
cnf(mapping_from_codomain_of_x_to_x,axiom,
defined(codomain(X1),X1),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',mapping_from_codomain_of_x_to_x) ).
cnf(prove_codomain_of_domain_is_domain,negated_conjecture,
codomain(domain(a)) != domain(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_codomain_of_domain_is_domain) ).
cnf(domain_is_an_identity_map,axiom,
identity_map(domain(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',domain_is_an_identity_map) ).
cnf(c_0_6,plain,
( X3 = X4
| ~ product(X1,X2,X3)
| ~ product(X1,X2,X4) ),
inference(fof_simplification,[status(thm)],[composition_is_well_defined]) ).
cnf(c_0_7,plain,
( product(X1,X2,X1)
| ~ defined(X1,X2)
| ~ identity_map(X2) ),
inference(fof_simplification,[status(thm)],[identity2]) ).
cnf(c_0_8,plain,
( X3 = X4
| ~ product(X1,X2,X3)
| ~ product(X1,X2,X4) ),
c_0_6 ).
cnf(c_0_9,axiom,
product(codomain(X1),X1,X1),
product_on_codomain ).
cnf(c_0_10,plain,
( product(X1,X2,X1)
| ~ defined(X1,X2)
| ~ identity_map(X2) ),
c_0_7 ).
cnf(c_0_11,axiom,
defined(codomain(X1),X1),
mapping_from_codomain_of_x_to_x ).
cnf(c_0_12,negated_conjecture,
codomain(domain(a)) != domain(a),
inference(fof_simplification,[status(thm)],[prove_codomain_of_domain_is_domain]) ).
cnf(c_0_13,plain,
( X1 = X2
| ~ product(codomain(X2),X2,X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_14,plain,
( product(codomain(X1),X1,codomain(X1))
| ~ identity_map(X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,negated_conjecture,
codomain(domain(a)) != domain(a),
c_0_12 ).
cnf(c_0_16,plain,
( codomain(X1) = X1
| ~ identity_map(X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,axiom,
identity_map(domain(X1)),
domain_is_an_identity_map ).
cnf(c_0_18,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : CAT012-1 : TPTP v8.2.0. Released v1.0.0.
% 0.02/0.10 % Command : run_E %s %d THM
% 0.09/0.30 % Computer : n029.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Sat May 18 11:45:52 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.16/0.40 Running first-order model finding
% 0.16/0.40 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.41 # Version: 3.1.0
% 0.16/0.41 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.41 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.41 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.41 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.41 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.41 # Starting sh5l with 300s (1) cores
% 0.16/0.41 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 13579 completed with status 0
% 0.16/0.41 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.16/0.41 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.41 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.41 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.41 # No SInE strategy applied
% 0.16/0.41 # Search class: FHUSM-FFSF21-SFFFFFNN
% 0.16/0.41 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.41 # Starting G-E--_208_C18_F1_AE_CS_SP_PI_S0a with 811s (1) cores
% 0.16/0.41 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.16/0.41 # Starting new_bool_3 with 136s (1) cores
% 0.16/0.41 # Starting new_bool_1 with 136s (1) cores
% 0.16/0.41 # Starting sh5l with 136s (1) cores
% 0.16/0.41 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 13584 completed with status 0
% 0.16/0.41 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.16/0.41 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.41 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.41 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.41 # No SInE strategy applied
% 0.16/0.41 # Search class: FHUSM-FFSF21-SFFFFFNN
% 0.16/0.41 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.41 # Starting G-E--_208_C18_F1_AE_CS_SP_PI_S0a with 811s (1) cores
% 0.16/0.41 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.16/0.41 # Preprocessing time : 0.001 s
% 0.16/0.41 # Presaturation interreduction done
% 0.16/0.41
% 0.16/0.41 # Proof found!
% 0.16/0.41 # SZS status Unsatisfiable
% 0.16/0.41 # SZS output start CNFRefutation
% See solution above
% 0.16/0.41 # Parsed axioms : 19
% 0.16/0.41 # Removed by relevancy pruning/SinE : 0
% 0.16/0.41 # Initial clauses : 19
% 0.16/0.41 # Removed in clause preprocessing : 0
% 0.16/0.41 # Initial clauses in saturation : 19
% 0.16/0.41 # Processed clauses : 62
% 0.16/0.41 # ...of these trivial : 0
% 0.16/0.41 # ...subsumed : 3
% 0.16/0.41 # ...remaining for further processing : 59
% 0.16/0.41 # Other redundant clauses eliminated : 0
% 0.16/0.41 # Clauses deleted for lack of memory : 0
% 0.16/0.41 # Backward-subsumed : 0
% 0.16/0.41 # Backward-rewritten : 0
% 0.16/0.41 # Generated clauses : 133
% 0.16/0.41 # ...of the previous two non-redundant : 84
% 0.16/0.41 # ...aggressively subsumed : 0
% 0.16/0.41 # Contextual simplify-reflections : 0
% 0.16/0.41 # Paramodulations : 133
% 0.16/0.41 # Factorizations : 0
% 0.16/0.41 # NegExts : 0
% 0.16/0.41 # Equation resolutions : 0
% 0.16/0.41 # Disequality decompositions : 0
% 0.16/0.41 # Total rewrite steps : 66
% 0.16/0.41 # ...of those cached : 42
% 0.16/0.41 # Propositional unsat checks : 0
% 0.16/0.41 # Propositional check models : 0
% 0.16/0.41 # Propositional check unsatisfiable : 0
% 0.16/0.41 # Propositional clauses : 0
% 0.16/0.41 # Propositional clauses after purity: 0
% 0.16/0.41 # Propositional unsat core size : 0
% 0.16/0.41 # Propositional preprocessing time : 0.000
% 0.16/0.41 # Propositional encoding time : 0.000
% 0.16/0.41 # Propositional solver time : 0.000
% 0.16/0.41 # Success case prop preproc time : 0.000
% 0.16/0.41 # Success case prop encoding time : 0.000
% 0.16/0.41 # Success case prop solver time : 0.000
% 0.16/0.41 # Current number of processed clauses : 40
% 0.16/0.41 # Positive orientable unit clauses : 15
% 0.16/0.41 # Positive unorientable unit clauses: 0
% 0.16/0.41 # Negative unit clauses : 1
% 0.16/0.41 # Non-unit-clauses : 24
% 0.16/0.41 # Current number of unprocessed clauses: 59
% 0.16/0.41 # ...number of literals in the above : 152
% 0.16/0.41 # Current number of archived formulas : 0
% 0.16/0.41 # Current number of archived clauses : 19
% 0.16/0.41 # Clause-clause subsumption calls (NU) : 98
% 0.16/0.41 # Rec. Clause-clause subsumption calls : 89
% 0.16/0.41 # Non-unit clause-clause subsumptions : 3
% 0.16/0.41 # Unit Clause-clause subsumption calls : 0
% 0.16/0.41 # Rewrite failures with RHS unbound : 0
% 0.16/0.41 # BW rewrite match attempts : 10
% 0.16/0.41 # BW rewrite match successes : 0
% 0.16/0.41 # Condensation attempts : 0
% 0.16/0.41 # Condensation successes : 0
% 0.16/0.41 # Termbank termtop insertions : 1939
% 0.16/0.41 # Search garbage collected termcells : 56
% 0.16/0.41
% 0.16/0.41 # -------------------------------------------------
% 0.16/0.41 # User time : 0.006 s
% 0.16/0.41 # System time : 0.001 s
% 0.16/0.41 # Total time : 0.007 s
% 0.16/0.41 # Maximum resident set size: 1640 pages
% 0.16/0.41
% 0.16/0.41 # -------------------------------------------------
% 0.16/0.41 # User time : 0.026 s
% 0.16/0.41 # System time : 0.004 s
% 0.16/0.41 # Total time : 0.030 s
% 0.16/0.41 # Maximum resident set size: 1712 pages
% 0.16/0.41 % E---3.1 exiting
%------------------------------------------------------------------------------