TSTP Solution File: CAT006-1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : CAT006-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n023.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 18:59:10 EDT 2024
% Result : Unsatisfiable 0.19s 0.48s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of clauses : 30 ( 16 unt; 0 nHn; 26 RR)
% Number of literals : 56 ( 7 equ; 29 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 42 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(identity1,axiom,
( product(X1,X2,X2)
| ~ defined(X1,X2)
| ~ identity_map(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',identity1) ).
cnf(category_theory_axiom3,axiom,
( defined(X4,X1)
| ~ product(X1,X2,X3)
| ~ defined(X4,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',category_theory_axiom3) ).
cnf(ha_defined,hypothesis,
defined(h,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ha_defined) ).
cnf(h_is_the_identity_map,hypothesis,
identity_map(h),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',h_is_the_identity_map) ).
cnf(mapping_from_codomain_of_x_to_x,axiom,
defined(codomain(X1),X1),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',mapping_from_codomain_of_x_to_x) ).
cnf(composition_is_well_defined,axiom,
( X3 = X4
| ~ product(X1,X2,X3)
| ~ product(X1,X2,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',composition_is_well_defined) ).
cnf(codomain_is_an_identity_map,axiom,
identity_map(codomain(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',codomain_is_an_identity_map) ).
cnf(identity2,axiom,
( product(X1,X2,X1)
| ~ defined(X1,X2)
| ~ identity_map(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',identity2) ).
cnf(prove_codomain_of_a_is_h,negated_conjecture,
codomain(a) != h,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_codomain_of_a_is_h) ).
cnf(c_0_9,plain,
( product(X1,X2,X2)
| ~ defined(X1,X2)
| ~ identity_map(X1) ),
inference(fof_simplification,[status(thm)],[identity1]) ).
cnf(c_0_10,plain,
( defined(X4,X1)
| ~ product(X1,X2,X3)
| ~ defined(X4,X3) ),
inference(fof_simplification,[status(thm)],[category_theory_axiom3]) ).
cnf(c_0_11,plain,
( product(X1,X2,X2)
| ~ defined(X1,X2)
| ~ identity_map(X1) ),
c_0_9 ).
cnf(c_0_12,hypothesis,
defined(h,a),
ha_defined ).
cnf(c_0_13,hypothesis,
identity_map(h),
h_is_the_identity_map ).
cnf(c_0_14,plain,
( defined(X4,X1)
| ~ product(X1,X2,X3)
| ~ defined(X4,X3) ),
c_0_10 ).
cnf(c_0_15,hypothesis,
product(h,a,a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]) ).
cnf(c_0_16,hypothesis,
( defined(X1,h)
| ~ defined(X1,a) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_17,axiom,
defined(codomain(X1),X1),
mapping_from_codomain_of_x_to_x ).
cnf(c_0_18,plain,
( X3 = X4
| ~ product(X1,X2,X3)
| ~ product(X1,X2,X4) ),
inference(fof_simplification,[status(thm)],[composition_is_well_defined]) ).
cnf(c_0_19,hypothesis,
defined(codomain(a),h),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,axiom,
identity_map(codomain(X1)),
codomain_is_an_identity_map ).
cnf(c_0_21,plain,
( product(X1,X2,X1)
| ~ defined(X1,X2)
| ~ identity_map(X2) ),
inference(fof_simplification,[status(thm)],[identity2]) ).
cnf(c_0_22,plain,
( X3 = X4
| ~ product(X1,X2,X3)
| ~ product(X1,X2,X4) ),
c_0_18 ).
cnf(c_0_23,hypothesis,
product(codomain(a),h,h),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_19]),c_0_20])]) ).
cnf(c_0_24,plain,
( product(X1,X2,X1)
| ~ defined(X1,X2)
| ~ identity_map(X2) ),
c_0_21 ).
cnf(c_0_25,negated_conjecture,
codomain(a) != h,
inference(fof_simplification,[status(thm)],[prove_codomain_of_a_is_h]) ).
cnf(c_0_26,hypothesis,
( X1 = h
| ~ product(codomain(a),h,X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_27,hypothesis,
product(codomain(a),h,codomain(a)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_19]),c_0_13])]) ).
cnf(c_0_28,negated_conjecture,
codomain(a) != h,
c_0_25 ).
cnf(c_0_29,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : CAT006-1 : TPTP v8.2.0. Released v1.0.0.
% 0.06/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat May 18 11:41:08 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 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/benchmark/theBenchmark.p
% 0.19/0.48 # Version: 3.1.0
% 0.19/0.48 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.48 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.48 # Starting new_bool_1 with 300s (1) cores
% 0.19/0.48 # Starting sh5l with 300s (1) cores
% 0.19/0.48 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1358 completed with status 0
% 0.19/0.48 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.19/0.48 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.48 # No SInE strategy applied
% 0.19/0.48 # Search class: FHUSM-FFSF21-SFFFFFNN
% 0.19/0.48 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.48 # Starting G-E--_208_C18_F1_AE_CS_SP_PI_S0a with 811s (1) cores
% 0.19/0.48 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.19/0.48 # Starting new_bool_3 with 136s (1) cores
% 0.19/0.48 # Starting new_bool_1 with 136s (1) cores
% 0.19/0.48 # Starting sh5l with 136s (1) cores
% 0.19/0.48 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1363 completed with status 0
% 0.19/0.48 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.19/0.48 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.48 # No SInE strategy applied
% 0.19/0.48 # Search class: FHUSM-FFSF21-SFFFFFNN
% 0.19/0.48 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.48 # Starting G-E--_208_C18_F1_AE_CS_SP_PI_S0a with 811s (1) cores
% 0.19/0.48 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.19/0.48 # Preprocessing time : 0.001 s
% 0.19/0.48 # Presaturation interreduction done
% 0.19/0.48
% 0.19/0.48 # Proof found!
% 0.19/0.48 # SZS status Unsatisfiable
% 0.19/0.48 # SZS output start CNFRefutation
% See solution above
% 0.19/0.48 # Parsed axioms : 21
% 0.19/0.48 # Removed by relevancy pruning/SinE : 0
% 0.19/0.48 # Initial clauses : 21
% 0.19/0.48 # Removed in clause preprocessing : 0
% 0.19/0.48 # Initial clauses in saturation : 21
% 0.19/0.48 # Processed clauses : 60
% 0.19/0.48 # ...of these trivial : 1
% 0.19/0.48 # ...subsumed : 0
% 0.19/0.48 # ...remaining for further processing : 59
% 0.19/0.48 # Other redundant clauses eliminated : 0
% 0.19/0.48 # Clauses deleted for lack of memory : 0
% 0.19/0.48 # Backward-subsumed : 0
% 0.19/0.48 # Backward-rewritten : 0
% 0.19/0.48 # Generated clauses : 83
% 0.19/0.48 # ...of the previous two non-redundant : 62
% 0.19/0.48 # ...aggressively subsumed : 0
% 0.19/0.48 # Contextual simplify-reflections : 0
% 0.19/0.48 # Paramodulations : 83
% 0.19/0.48 # Factorizations : 0
% 0.19/0.48 # NegExts : 0
% 0.19/0.48 # Equation resolutions : 0
% 0.19/0.48 # Disequality decompositions : 0
% 0.19/0.48 # Total rewrite steps : 31
% 0.19/0.48 # ...of those cached : 17
% 0.19/0.48 # Propositional unsat checks : 0
% 0.19/0.48 # Propositional check models : 0
% 0.19/0.48 # Propositional check unsatisfiable : 0
% 0.19/0.48 # Propositional clauses : 0
% 0.19/0.48 # Propositional clauses after purity: 0
% 0.19/0.48 # Propositional unsat core size : 0
% 0.19/0.48 # Propositional preprocessing time : 0.000
% 0.19/0.48 # Propositional encoding time : 0.000
% 0.19/0.48 # Propositional solver time : 0.000
% 0.19/0.48 # Success case prop preproc time : 0.000
% 0.19/0.48 # Success case prop encoding time : 0.000
% 0.19/0.48 # Success case prop solver time : 0.000
% 0.19/0.48 # Current number of processed clauses : 38
% 0.19/0.48 # Positive orientable unit clauses : 17
% 0.19/0.48 # Positive unorientable unit clauses: 0
% 0.19/0.48 # Negative unit clauses : 1
% 0.19/0.48 # Non-unit-clauses : 20
% 0.19/0.48 # Current number of unprocessed clauses: 43
% 0.19/0.48 # ...number of literals in the above : 120
% 0.19/0.48 # Current number of archived formulas : 0
% 0.19/0.48 # Current number of archived clauses : 21
% 0.19/0.48 # Clause-clause subsumption calls (NU) : 101
% 0.19/0.48 # Rec. Clause-clause subsumption calls : 89
% 0.19/0.48 # Non-unit clause-clause subsumptions : 0
% 0.19/0.48 # Unit Clause-clause subsumption calls : 0
% 0.19/0.48 # Rewrite failures with RHS unbound : 0
% 0.19/0.48 # BW rewrite match attempts : 1
% 0.19/0.48 # BW rewrite match successes : 0
% 0.19/0.48 # Condensation attempts : 0
% 0.19/0.48 # Condensation successes : 0
% 0.19/0.48 # Termbank termtop insertions : 1497
% 0.19/0.48 # Search garbage collected termcells : 56
% 0.19/0.48
% 0.19/0.48 # -------------------------------------------------
% 0.19/0.48 # User time : 0.004 s
% 0.19/0.48 # System time : 0.003 s
% 0.19/0.48 # Total time : 0.008 s
% 0.19/0.48 # Maximum resident set size: 1644 pages
% 0.19/0.48
% 0.19/0.48 # -------------------------------------------------
% 0.19/0.48 # User time : 0.021 s
% 0.19/0.48 # System time : 0.009 s
% 0.19/0.48 # Total time : 0.030 s
% 0.19/0.48 # Maximum resident set size: 1716 pages
% 0.19/0.48 % E---3.1 exiting
% 0.19/0.48 % E exiting
%------------------------------------------------------------------------------