%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GRP394+3 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 12:39:32 PM UTC 2026
% Result : Satisfiable 0.23s 0.61s
% Output : Saturation 0.23s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_4ERROR: Could not build tree for root c_0_13ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(c_0_6,plain,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_7,plain,
multiply(inverse(X1),X1) = identity,
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_8,plain,
multiply(identity,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_5]),
[final] ).
cnf(c_0_9,plain,
multiply(inverse(X1),multiply(X1,X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]),
[final] ).
cnf(c_0_12,plain,
inverse(inverse(X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_11]),c_0_10]),
[final] ).
cnf(c_0_13,plain,
multiply(X1,inverse(X1)) = identity,
inference(spm,[status(thm)],[c_0_7,c_0_12]),
[final] ).
cnf(c_0_15,plain,
multiply(X1,identity) = X1,
inference(rw,[status(thm)],[c_0_10,c_0_12]),
[final] ).
cnf(c_0_19,plain,
inverse(multiply(X1,X2)) = multiply(inverse(X2),inverse(X1)),
inference(spm,[status(thm)],[c_0_9,c_0_17]),
[final] ).
cnf(c_0_20,plain,
multiply(X1,multiply(inverse(X1),X2)) = X2,
inference(spm,[status(thm)],[c_0_9,c_0_12]),
[final] ).
cnf(c_0_21,plain,
inverse(identity) = identity,
inference(spm,[status(thm)],[c_0_7,c_0_18]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP394+3 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.45 % Computer : n002.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Sun Sep 20 20:14:31 UTC 2026
% 0.18/0.46 % CPUTime :
% 0.18/0.46 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.55 Running first-order theorem proving
% 0.23/0.55 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
% 0.23/0.61 % Version: 3.5.1
% 0.23/0.61 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.23/0.61 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.61 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.23/0.61 % Starting new_bool_3 with 300s (1) cores
% 0.23/0.61 % Starting new_bool_1 with 300s (1) cores
% 0.23/0.61 % Starting sh5l with 300s (1) cores
% 0.23/0.61 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 1609288 completed with status 1
% 0.23/0.61 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.23/0.61 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.23/0.61 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.61 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.23/0.61 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.23/0.61 % No SInE strategy applied
% 0.23/0.61 % Search class: FUUPS-FFSF21-SFFFFFNN
% 0.23/0.61 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.23/0.61 % Starting SubtermCWHack with 136s (1) cores
% 0.23/0.61 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.23/0.61 % Starting C12_02_nc_SAT001_MinMin_p005000_rr with 136s (1) cores
% 0.23/0.61 % Starting new_bool_3 with 136s (1) cores
% 0.23/0.61 % Starting new_bool_1 with 136s (1) cores
% 0.23/0.61 % C12_02_nc_SAT001_MinMin_p005000_rr with pid 1609296 completed with status 1
% 0.23/0.61 % Result found by C12_02_nc_SAT001_MinMin_p005000_rr
% 0.23/0.61 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.23/0.61 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.61 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.23/0.61 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.23/0.61 % No SInE strategy applied
% 0.23/0.61 % Search class: FUUPS-FFSF21-SFFFFFNN
% 0.23/0.61 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.23/0.61 % Starting SubtermCWHack with 136s (1) cores
% 0.23/0.61 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.23/0.61 % Starting C12_02_nc_SAT001_MinMin_p005000_rr with 136s (1) cores
% 0.23/0.61 % Preprocessing time : 0.001 s
% 0.23/0.61 % Presaturation interreduction done
% 0.23/0.61
% 0.23/0.61 % No proof found!
% 0.23/0.61 % SZS status Satisfiable
% 0.23/0.61 % SZS output start Saturation
% See solution above
% 0.23/0.61 % Parsed axioms : 3
% 0.23/0.61 % Removed by relevancy pruning/SinE : 0
% 0.23/0.61 % Initial clauses : 3
% 0.23/0.61 % Removed in clause preprocessing : 0
% 0.23/0.61 % Initial clauses in saturation : 3
% 0.23/0.61 % Processed clauses : 23
% 0.23/0.61 % ...of these trivial : 4
% 0.23/0.61 % ...subsumed : 0
% 0.23/0.61 % ...remaining for further processing : 19
% 0.23/0.61 % Other redundant clauses eliminated : 0
% 0.23/0.61 % Clauses deleted for lack of memory : 0
% 0.23/0.61 % Backward-subsumed : 0
% 0.23/0.61 % Backward-rewritten : 6
% 0.23/0.61 % Generated clauses : 89
% 0.23/0.61 % ...of the previous two non-redundant : 30
% 0.23/0.61 % ...aggressively subsumed : 0
% 0.23/0.61 % Contextual simplify-reflections : 0
% 0.23/0.61 % Paramodulations : 89
% 0.23/0.61 % Factorizations : 0
% 0.23/0.61 % NegExts : 0
% 0.23/0.61 % Equation resolutions : 0
% 0.23/0.61 % Disequality decompositions : 0
% 0.23/0.61 % Total rewrite steps : 161
% 0.23/0.61 % ...of those cached : 103
% 0.23/0.61 % Propositional unsat checks : 0
% 0.23/0.61 % Propositional check models : 0
% 0.23/0.61 % Propositional check unsatisfiable : 0
% 0.23/0.61 % Propositional clauses : 0
% 0.23/0.61 % Propositional clauses after purity: 0
% 0.23/0.61 % Propositional unsat core size : 0
% 0.23/0.61 % Propositional preprocessing time : 0.000
% 0.23/0.61 % Propositional encoding time : 0.000
% 0.23/0.61 % Propositional solver time : 0.000
% 0.23/0.61 % Success case prop preproc time : 0.000
% 0.23/0.61 % Success case prop encoding time : 0.000
% 0.23/0.61 % Success case prop solver time : 0.000
% 0.23/0.61 % Current number of processed clauses : 10
% 0.23/0.61 % Positive orientable unit clauses : 10
% 0.23/0.61 % Positive unorientable unit clauses: 0
% 0.23/0.61 % Negative unit clauses : 0
% 0.23/0.61 % Non-unit-clauses : 0
% 0.23/0.61 % Current number of unprocessed clauses: 0
% 0.23/0.61 % ...number of literals in the above : 0
% 0.23/0.61 % Current number of archived formulas : 0
% 0.23/0.61 % Current number of archived clauses : 9
% 0.23/0.61 % Clause-clause subsumption calls (NU) : 0
% 0.23/0.61 % Rec. Clause-clause subsumption calls : 0
% 0.23/0.61 % Non-unit clause-clause subsumptions : 0
% 0.23/0.61 % Unit Clause-clause subsumption calls : 0
% 0.23/0.61 % Rewrite failures with RHS unbound : 0
% 0.23/0.61 % BW rewrite match attempts : 9
% 0.23/0.61 % BW rewrite match successes : 6
% 0.23/0.61 % Condensation attempts : 0
% 0.23/0.61 % Condensation successes : 0
% 0.23/0.61 % Termbank termtop insertions : 788
% 0.23/0.61 % Search garbage collected termcells : 0
% 0.23/0.61
% 0.23/0.61 % -------------------------------------------------
% 0.23/0.61 % User time : 0.003 s
% 0.23/0.61 % System time : 0.004 s
% 0.23/0.61 % Total time : 0.007 s
% 0.23/0.61 % Maximum resident set size: 3636 pages
% 0.23/0.61
% 0.23/0.61 % -------------------------------------------------
% 0.23/0.61 % User time : 0.013 s
% 0.23/0.61 % System time : 0.013 s
% 0.23/0.61 % Total time : 0.027 s
% 0.23/0.61 % Maximum resident set size: 4608 pages
% 0.23/0.61 % E exiting
%------------------------------------------------------------------------------