%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : CAT006-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:07:59 PM UTC 2026
% Result : Unsatisfiable 0.07s 0.34s
% Output : CNFRefutation 0.07s
% 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,
( ~ identity_map(X1)
| ~ defined(X1,X2)
| product(X1,X2,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',identity1) ).
cnf(category_theory_axiom3,axiom,
( ~ defined(X4,X3)
| ~ product(X1,X2,X3)
| defined(X4,X1) ),
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,
( ~ product(X1,X2,X4)
| ~ product(X1,X2,X3)
| X3 = 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,
( ~ identity_map(X2)
| ~ defined(X1,X2)
| product(X1,X2,X1) ),
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,
( ~ identity_map(X1)
| ~ defined(X1,X2)
| product(X1,X2,X2) ),
inference(fof_simplification,[status(thm)],[identity1]) ).
cnf(c_0_10,plain,
( ~ defined(X4,X3)
| ~ product(X1,X2,X3)
| defined(X4,X1) ),
inference(fof_simplification,[status(thm)],[category_theory_axiom3]) ).
cnf(c_0_11,plain,
( ~ identity_map(X1)
| ~ defined(X1,X2)
| product(X1,X2,X2) ),
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,X3)
| ~ product(X1,X2,X3)
| defined(X4,X1) ),
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,a)
| defined(X1,h) ),
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,
( ~ product(X1,X2,X4)
| ~ product(X1,X2,X3)
| X3 = 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,
( ~ identity_map(X2)
| ~ defined(X1,X2)
| product(X1,X2,X1) ),
inference(fof_simplification,[status(thm)],[identity2]) ).
cnf(c_0_22,plain,
( ~ product(X1,X2,X4)
| ~ product(X1,X2,X3)
| X3 = 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,
( ~ identity_map(X2)
| ~ defined(X1,X2)
| product(X1,X2,X1) ),
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,
( ~ product(codomain(a),h,X1)
| X1 = h ),
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
% 0.00/0.01 % Problem : CAT006-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Mon Sep 21 13:55:23 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.33 Running first-order theorem proving
% 0.07/0.33 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
% 0.07/0.34 % Version: 3.5.1
% 0.07/0.34 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.07/0.34 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.34 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.07/0.34 % Starting new_bool_3 with 300s (1) cores
% 0.07/0.34 % Starting new_bool_1 with 300s (1) cores
% 0.07/0.34 % Starting sh5l with 300s (1) cores
% 0.07/0.34 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2517938 completed with status 0
% 0.07/0.34 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.07/0.34 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.07/0.34 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.34 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.07/0.34 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.07/0.34 % No SInE strategy applied
% 0.07/0.34 % Search class: FHUSM-FFSF21-SFFFFFNN
% 0.07/0.34 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.07/0.34 % Starting SubtermCWHack with 136s (1) cores
% 0.07/0.34 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.07/0.34 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 136s (1) cores
% 0.07/0.34 % Starting new_bool_3 with 136s (1) cores
% 0.07/0.34 % Starting new_bool_1 with 136s (1) cores
% 0.07/0.34 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2517943 completed with status 0
% 0.07/0.34 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.07/0.34 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.07/0.34 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.34 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.07/0.34 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.07/0.34 % No SInE strategy applied
% 0.07/0.34 % Search class: FHUSM-FFSF21-SFFFFFNN
% 0.07/0.34 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.07/0.34 % Starting SubtermCWHack with 136s (1) cores
% 0.07/0.34 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.07/0.34 % Preprocessing time : 0.001 s
% 0.07/0.34 % Presaturation interreduction done
% 0.07/0.34
% 0.07/0.34 % Proof found!
% 0.07/0.34 % SZS status Unsatisfiable
% 0.07/0.34 % SZS output start CNFRefutation
% See solution above
% 0.07/0.34 % Parsed axioms : 21
% 0.07/0.34 % Removed by relevancy pruning/SinE : 0
% 0.07/0.34 % Initial clauses : 21
% 0.07/0.34 % Removed in clause preprocessing : 0
% 0.07/0.34 % Initial clauses in saturation : 21
% 0.07/0.34 % Processed clauses : 60
% 0.07/0.34 % ...of these trivial : 1
% 0.07/0.34 % ...subsumed : 0
% 0.07/0.34 % ...remaining for further processing : 59
% 0.07/0.34 % Other redundant clauses eliminated : 0
% 0.07/0.34 % Clauses deleted for lack of memory : 0
% 0.07/0.34 % Backward-subsumed : 0
% 0.07/0.34 % Backward-rewritten : 0
% 0.07/0.34 % Generated clauses : 83
% 0.07/0.34 % ...of the previous two non-redundant : 62
% 0.07/0.34 % ...aggressively subsumed : 0
% 0.07/0.34 % Contextual simplify-reflections : 0
% 0.07/0.34 % Paramodulations : 83
% 0.07/0.34 % Factorizations : 0
% 0.07/0.34 % NegExts : 0
% 0.07/0.34 % Equation resolutions : 0
% 0.07/0.34 % Disequality decompositions : 0
% 0.07/0.34 % Total rewrite steps : 31
% 0.07/0.34 % ...of those cached : 17
% 0.07/0.34 % Propositional unsat checks : 0
% 0.07/0.34 % Propositional check models : 0
% 0.07/0.34 % Propositional check unsatisfiable : 0
% 0.07/0.34 % Propositional clauses : 0
% 0.07/0.34 % Propositional clauses after purity: 0
% 0.07/0.34 % Propositional unsat core size : 0
% 0.07/0.34 % Propositional preprocessing time : 0.000
% 0.07/0.34 % Propositional encoding time : 0.000
% 0.07/0.34 % Propositional solver time : 0.000
% 0.07/0.34 % Success case prop preproc time : 0.000
% 0.07/0.34 % Success case prop encoding time : 0.000
% 0.07/0.34 % Success case prop solver time : 0.000
% 0.07/0.34 % Current number of processed clauses : 38
% 0.07/0.34 % Positive orientable unit clauses : 17
% 0.07/0.34 % Positive unorientable unit clauses: 0
% 0.07/0.34 % Negative unit clauses : 1
% 0.07/0.34 % Non-unit-clauses : 20
% 0.07/0.34 % Current number of unprocessed clauses: 43
% 0.07/0.34 % ...number of literals in the above : 120
% 0.07/0.34 % Current number of archived formulas : 0
% 0.07/0.34 % Current number of archived clauses : 21
% 0.07/0.34 % Clause-clause subsumption calls (NU) : 101
% 0.07/0.34 % Rec. Clause-clause subsumption calls : 89
% 0.07/0.34 % Non-unit clause-clause subsumptions : 0
% 0.07/0.34 % Unit Clause-clause subsumption calls : 0
% 0.07/0.34 % Rewrite failures with RHS unbound : 0
% 0.07/0.34 % BW rewrite match attempts : 1
% 0.07/0.34 % BW rewrite match successes : 0
% 0.07/0.34 % Condensation attempts : 0
% 0.07/0.34 % Condensation successes : 0
% 0.07/0.34 % Termbank termtop insertions : 1572
% 0.07/0.34 % Search garbage collected termcells : 56
% 0.07/0.34
% 0.07/0.34 % -------------------------------------------------
% 0.07/0.34 % User time : 0.004 s
% 0.07/0.34 % System time : 0.001 s
% 0.07/0.34 % Total time : 0.005 s
% 0.07/0.34 % Maximum resident set size: 3648 pages
% 0.07/0.34
% 0.07/0.34 % -------------------------------------------------
% 0.07/0.34 % User time : 0.014 s
% 0.07/0.34 % System time : 0.010 s
% 0.07/0.34 % Total time : 0.024 s
% 0.07/0.34 % Maximum resident set size: 4864 pages
% 0.07/0.34 % E exiting
%------------------------------------------------------------------------------