%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : CAT020-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 12:08:04 PM UTC 2026
% Result : Satisfiable 0.44s 0.52s
% Output : Saturation 0.44s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_18ERROR: Could not build tree for root c_0_25ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(c_0_20,plain,
( ~ identity_map(X1)
| ~ defined(X1,X2)
| product(X1,X2,X2) ),
c_0_18,
[final] ).
cnf(c_0_21,axiom,
defined(X1,domain(X1)),
mapping_from_x_to_its_domain,
[final] ).
cnf(c_0_23,plain,
( ~ product(X1,X2,X4)
| ~ product(X1,X2,X3)
| X3 = X4 ),
c_0_19,
[final] ).
cnf(c_0_24,axiom,
product(X1,domain(X1),X1),
product_on_domain,
[final] ).
cnf(c_0_25,plain,
( ~ identity_map(X1)
| product(X1,domain(X1),domain(X1)) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]),
[final] ).
cnf(c_0_26,axiom,
identity_map(domain(X1)),
domain_is_an_identity_map,
[final] ).
cnf(c_0_27,axiom,
identity_map(codomain(X1)),
codomain_is_an_identity_map,
[final] ).
cnf(c_0_28,plain,
( ~ identity_map(X2)
| ~ defined(X1,X2)
| product(X1,X2,X1) ),
c_0_22,
[final] ).
cnf(c_0_29,axiom,
defined(codomain(X1),X1),
mapping_from_codomain_of_x_to_x,
[final] ).
cnf(c_0_31,plain,
( ~ product(X2,domain(X2),X1)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_23,c_0_24]),
[final] ).
cnf(c_0_36,axiom,
product(codomain(X1),X1,X1),
product_on_codomain,
[final] ).
cnf(c_0_37,plain,
( ~ identity_map(X1)
| product(codomain(X1),X1,codomain(X1)) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]),
[final] ).
cnf(c_0_39,plain,
( ~ defined(X1,X2)
| product(X1,X2,compose(X1,X2)) ),
c_0_30,
[final] ).
cnf(c_0_42,plain,
domain(domain(X1)) = domain(X1),
inference(spm,[status(thm)],[c_0_31,c_0_32]),
[final] ).
cnf(c_0_43,plain,
domain(codomain(X1)) = codomain(X1),
inference(spm,[status(thm)],[c_0_31,c_0_33]),
[final] ).
cnf(c_0_44,plain,
( ~ product(X2,X4,X6)
| ~ product(X3,X4,X5)
| ~ product(X1,X2,X3)
| product(X1,X6,X5) ),
c_0_34,
[final] ).
cnf(c_0_45,plain,
( ~ product(X4,X1,X6)
| ~ product(X4,X3,X5)
| ~ product(X1,X2,X3)
| product(X6,X2,X5) ),
c_0_35,
[final] ).
cnf(c_0_46,plain,
( ~ product(codomain(X2),X2,X1)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_23,c_0_36]),
[final] ).
cnf(c_0_51,plain,
( ~ identity_map(X2)
| ~ defined(X2,X3)
| ~ defined(X1,X2)
| defined(X1,X3) ),
c_0_38,
[final] ).
cnf(c_0_53,plain,
( ~ defined(X3,X4)
| ~ product(X1,X2,X3)
| defined(X2,X4) ),
c_0_40,
[final] ).
cnf(c_0_54,plain,
( ~ defined(X4,X3)
| ~ product(X1,X2,X3)
| defined(X4,X1) ),
c_0_41,
[final] ).
cnf(c_0_55,plain,
product(domain(X1),domain(X1),domain(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_42]),c_0_42]),
[final] ).
cnf(c_0_56,plain,
product(codomain(X1),codomain(X1),codomain(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_43]),c_0_43]),
[final] ).
cnf(c_0_57,plain,
( ~ product(X1,X4,X3)
| ~ product(X4,domain(X3),X2)
| product(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_44,c_0_24]),
[final] ).
cnf(c_0_58,plain,
( ~ product(X4,X2,X3)
| ~ product(codomain(X3),X4,X1)
| product(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_45,c_0_36]),
[final] ).
cnf(c_0_59,plain,
codomain(domain(X1)) = domain(X1),
inference(spm,[status(thm)],[c_0_46,c_0_47]),
[final] ).
cnf(c_0_60,plain,
codomain(codomain(X1)) = codomain(X1),
inference(spm,[status(thm)],[c_0_46,c_0_48]),
[final] ).
cnf(c_0_61,plain,
( ~ product(X4,X3,X2)
| ~ product(X1,X4,codomain(X3))
| product(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_44,c_0_36]),
[final] ).
cnf(c_0_62,plain,
( ~ product(X3,X4,X1)
| ~ product(X4,X2,domain(X3))
| product(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_45,c_0_24]),
[final] ).
cnf(c_0_63,plain,
( ~ defined(X3,X4)
| ~ product(X2,X4,X5)
| ~ product(X1,X2,X3)
| defined(X1,X5) ),
c_0_49,
[final] ).
cnf(c_0_64,plain,
( ~ defined(X4,X3)
| ~ product(X4,X1,X5)
| ~ product(X1,X2,X3)
| defined(X5,X2) ),
c_0_50,
[final] ).
cnf(c_0_65,plain,
( ~ defined(X1,X2)
| ~ identity_map(X2)
| defined(X1,domain(X2)) ),
inference(spm,[status(thm)],[c_0_51,c_0_21]),
[final] ).
cnf(c_0_68,plain,
compose(codomain(X1),X1) = X1,
inference(spm,[status(thm)],[c_0_46,c_0_52]),
[final] ).
cnf(c_0_69,plain,
( ~ defined(X1,X2)
| defined(domain(X1),X2) ),
inference(spm,[status(thm)],[c_0_53,c_0_24]),
[final] ).
cnf(c_0_70,plain,
( ~ defined(X1,X2)
| defined(X1,codomain(X2)) ),
inference(spm,[status(thm)],[c_0_54,c_0_36]),
[final] ).
cnf(c_0_71,plain,
( ~ product(X1,X4,domain(X3))
| ~ product(X4,domain(X3),X2)
| product(X1,X2,domain(X3)) ),
inference(spm,[status(thm)],[c_0_44,c_0_55]),
[final] ).
cnf(c_0_72,plain,
( ~ product(X4,X2,domain(X3))
| ~ product(domain(X3),X4,X1)
| product(X1,X2,domain(X3)) ),
inference(spm,[status(thm)],[c_0_45,c_0_55]),
[final] ).
cnf(c_0_73,plain,
( ~ product(X1,X4,codomain(X3))
| ~ product(X4,codomain(X3),X2)
| product(X1,X2,codomain(X3)) ),
inference(spm,[status(thm)],[c_0_44,c_0_56]),
[final] ).
cnf(c_0_74,plain,
( ~ product(domain(X1),domain(X1),X2)
| product(domain(X1),X2,domain(X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_55]),c_0_42]),
[final] ).
cnf(c_0_75,plain,
( ~ product(codomain(X1),codomain(X1),X2)
| product(codomain(X1),X2,codomain(X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_56]),c_0_43]),
[final] ).
cnf(c_0_76,plain,
( ~ product(X4,X2,codomain(X3))
| ~ product(codomain(X3),X4,X1)
| product(X1,X2,codomain(X3)) ),
inference(spm,[status(thm)],[c_0_45,c_0_56]),
[final] ).
cnf(c_0_77,plain,
( ~ product(domain(X2),domain(X2),X1)
| product(X1,domain(X2),domain(X2)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_55]),c_0_59]),
[final] ).
cnf(c_0_78,plain,
( ~ product(codomain(X2),codomain(X2),X1)
| product(X1,codomain(X2),codomain(X2)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_56]),c_0_60]),
[final] ).
cnf(c_0_79,plain,
( ~ product(X1,domain(X1),X2)
| product(codomain(X1),X2,X1) ),
inference(spm,[status(thm)],[c_0_57,c_0_36]),
[final] ).
cnf(c_0_80,plain,
( ~ product(domain(X1),domain(X1),X2)
| product(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_57,c_0_24]),
[final] ).
cnf(c_0_81,plain,
( ~ product(X1,codomain(X2),codomain(X2))
| product(X1,X2,X2) ),
inference(spm,[status(thm)],[c_0_61,c_0_36]),
[final] ).
cnf(c_0_82,plain,
( ~ product(domain(X1),X2,domain(X1))
| product(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_24]),
[final] ).
cnf(c_0_83,plain,
( ~ product(codomain(X2),X2,X1)
| product(X1,domain(X2),X2) ),
inference(spm,[status(thm)],[c_0_58,c_0_24]),
[final] ).
cnf(c_0_84,plain,
( ~ product(codomain(X2),codomain(X2),X1)
| product(X1,X2,X2) ),
inference(spm,[status(thm)],[c_0_58,c_0_36]),
[final] ).
cnf(c_0_85,plain,
( ~ product(domain(X2),domain(X2),X1)
| X1 = domain(X2) ),
inference(spm,[status(thm)],[c_0_31,c_0_42]),
[final] ).
cnf(c_0_86,plain,
( ~ defined(X3,X2)
| ~ product(X1,codomain(X2),X3)
| defined(X1,X2) ),
inference(spm,[status(thm)],[c_0_63,c_0_36]),
[final] ).
cnf(c_0_87,plain,
( ~ defined(X1,X3)
| ~ product(domain(X1),X2,X3)
| defined(X1,X2) ),
inference(spm,[status(thm)],[c_0_64,c_0_24]),
[final] ).
cnf(c_0_88,plain,
( ~ product(codomain(X2),codomain(X2),X1)
| X1 = codomain(X2) ),
inference(spm,[status(thm)],[c_0_31,c_0_43]),
[final] ).
cnf(c_0_89,plain,
( ~ identity_map(X1)
| defined(codomain(X1),domain(X1)) ),
inference(spm,[status(thm)],[c_0_65,c_0_29]),
[final] ).
cnf(c_0_90,plain,
( ~ defined(X1,codomain(X2))
| defined(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_29]),c_0_27])]),
[final] ).
cnf(c_0_91,plain,
( ~ product(X1,X2,X3)
| defined(X1,X2) ),
c_0_66,
[final] ).
cnf(c_0_92,plain,
compose(X1,domain(X1)) = X1,
inference(spm,[status(thm)],[c_0_31,c_0_67]),
[final] ).
cnf(c_0_93,plain,
compose(domain(X1),domain(X1)) = domain(X1),
inference(spm,[status(thm)],[c_0_68,c_0_59]),
[final] ).
cnf(c_0_94,plain,
compose(codomain(X1),codomain(X1)) = codomain(X1),
inference(spm,[status(thm)],[c_0_68,c_0_60]),
[final] ).
cnf(c_0_95,plain,
defined(domain(X1),domain(X1)),
inference(spm,[status(thm)],[c_0_69,c_0_21]),
[final] ).
cnf(c_0_96,plain,
defined(codomain(X1),codomain(X1)),
inference(spm,[status(thm)],[c_0_70,c_0_29]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT020-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n016.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 14:01:23 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.44 Running first-order theorem proving
% 0.14/0.44 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.44/0.52 % Version: 3.5.1
% 0.44/0.52 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.44/0.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.44/0.52 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.44/0.52 % Starting new_bool_3 with 300s (1) cores
% 0.44/0.52 % Starting new_bool_1 with 300s (1) cores
% 0.44/0.52 % Starting sh5l with 300s (1) cores
% 0.44/0.52 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2594220 completed with status 1
% 0.44/0.52 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.44/0.52 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.44/0.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.44/0.52 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.44/0.52 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.44/0.52 % No SInE strategy applied
% 0.44/0.52 % Search class: FHUSM-FFSF21-SFFFFFNN
% 0.44/0.52 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.44/0.52 % Starting SubtermCWHack with 136s (1) cores
% 0.44/0.52 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.44/0.52 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 136s (1) cores
% 0.44/0.52 % Starting new_bool_3 with 136s (1) cores
% 0.44/0.52 % Starting new_bool_1 with 136s (1) cores
% 0.44/0.52 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with pid 2594231 completed with status 1
% 0.44/0.52 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI
% 0.44/0.52 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.44/0.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.44/0.52 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.44/0.52 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.44/0.52 % No SInE strategy applied
% 0.44/0.52 % Search class: FHUSM-FFSF21-SFFFFFNN
% 0.44/0.52 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.44/0.52 % Starting SubtermCWHack with 136s (1) cores
% 0.44/0.52 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.44/0.52 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 136s (1) cores
% 0.44/0.52 % Preprocessing time : 0.002 s
% 0.44/0.52 % Presaturation interreduction done
% 0.44/0.52
% 0.44/0.52 % No proof found!
% 0.44/0.52 % SZS status Satisfiable
% 0.44/0.52 % SZS output start Saturation
% See solution above
% 0.44/0.52 % Parsed axioms : 18
% 0.44/0.52 % Removed by relevancy pruning/SinE : 0
% 0.44/0.52 % Initial clauses : 18
% 0.44/0.52 % Removed in clause preprocessing : 0
% 0.44/0.52 % Initial clauses in saturation : 18
% 0.44/0.52 % Processed clauses : 189
% 0.44/0.52 % ...of these trivial : 21
% 0.44/0.52 % ...subsumed : 66
% 0.44/0.52 % ...remaining for further processing : 102
% 0.44/0.52 % Other redundant clauses eliminated : 0
% 0.44/0.52 % Clauses deleted for lack of memory : 0
% 0.44/0.52 % Backward-subsumed : 0
% 0.44/0.52 % Backward-rewritten : 23
% 0.44/0.52 % Generated clauses : 420
% 0.44/0.52 % ...of the previous two non-redundant : 262
% 0.44/0.52 % ...aggressively subsumed : 0
% 0.44/0.52 % Contextual simplify-reflections : 0
% 0.44/0.52 % Paramodulations : 420
% 0.44/0.52 % Factorizations : 0
% 0.44/0.52 % NegExts : 0
% 0.44/0.52 % Equation resolutions : 0
% 0.44/0.52 % Disequality decompositions : 0
% 0.44/0.52 % Total rewrite steps : 298
% 0.44/0.52 % ...of those cached : 241
% 0.44/0.52 % Propositional unsat checks : 0
% 0.44/0.52 % Propositional check models : 0
% 0.44/0.52 % Propositional check unsatisfiable : 0
% 0.44/0.52 % Propositional clauses : 0
% 0.44/0.52 % Propositional clauses after purity: 0
% 0.44/0.52 % Propositional unsat core size : 0
% 0.44/0.52 % Propositional preprocessing time : 0.000
% 0.44/0.52 % Propositional encoding time : 0.000
% 0.44/0.52 % Propositional solver time : 0.000
% 0.44/0.52 % Success case prop preproc time : 0.000
% 0.44/0.52 % Success case prop encoding time : 0.000
% 0.44/0.52 % Success case prop solver time : 0.000
% 0.44/0.52 % Current number of processed clauses : 61
% 0.44/0.52 % Positive orientable unit clauses : 18
% 0.44/0.52 % Positive unorientable unit clauses: 0
% 0.44/0.52 % Negative unit clauses : 0
% 0.44/0.52 % Non-unit-clauses : 43
% 0.44/0.52 % Current number of unprocessed clauses: 0
% 0.44/0.52 % ...number of literals in the above : 0
% 0.44/0.52 % Current number of archived formulas : 0
% 0.44/0.52 % Current number of archived clauses : 41
% 0.44/0.52 % Clause-clause subsumption calls (NU) : 1026
% 0.44/0.52 % Rec. Clause-clause subsumption calls : 956
% 0.44/0.52 % Non-unit clause-clause subsumptions : 66
% 0.44/0.52 % Unit Clause-clause subsumption calls : 2
% 0.44/0.52 % Rewrite failures with RHS unbound : 0
% 0.44/0.52 % BW rewrite match attempts : 30
% 0.44/0.52 % BW rewrite match successes : 11
% 0.44/0.52 % Condensation attempts : 0
% 0.44/0.52 % Condensation successes : 0
% 0.44/0.52 % Termbank termtop insertions : 4711
% 0.44/0.52 % Search garbage collected termcells : 54
% 0.44/0.52
% 0.44/0.52 % -------------------------------------------------
% 0.44/0.52 % User time : 0.019 s
% 0.44/0.52 % System time : 0.004 s
% 0.44/0.52 % Total time : 0.023 s
% 0.44/0.52 % Maximum resident set size: 3648 pages
% 0.44/0.52
% 0.44/0.52 % -------------------------------------------------
% 0.44/0.52 % User time : 0.133 s
% 0.44/0.52 % System time : 0.022 s
% 0.44/0.52 % Total time : 0.154 s
% 0.44/0.52 % Maximum resident set size: 4864 pages
% 0.44/0.52 % E exiting
%------------------------------------------------------------------------------