%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GRP395-1 : 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 : n007.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 0.12s 0.41s
% Output : Saturation 0.12s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_19ERROR: Could not build tree for root c_0_33ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(c_0_12,plain,
( ~ product(X1,X2,X6,X7)
| ~ product(X1,X3,X5,X6)
| ~ product(X1,X2,X3,X4)
| product(X1,X4,X5,X7) ),
c_0_11,
[final] ).
cnf(c_0_13,axiom,
product(X1,inverse(X1,X2),X2,identity_for(X1)),
left_inverse,
[final] ).
cnf(c_0_16,plain,
( ~ product(X1,X5,identity_for(X1),X4)
| ~ product(X1,X5,inverse(X1,X3),X2)
| product(X1,X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]),
[final] ).
cnf(c_0_17,axiom,
product(X1,X2,identity_for(X1),X2),
right_identity,
[final] ).
cnf(c_0_20,plain,
( ~ group_member(X3,X2)
| ~ group_member(X1,X2)
| group_member(multiply(X2,X1,X3),X2) ),
c_0_14,
[final] ).
cnf(c_0_21,axiom,
group_member(identity_for(X1),X1),
identity_in_group,
[final] ).
cnf(c_0_22,plain,
( ~ product(X1,X2,X3,X5)
| ~ product(X1,X2,X3,X4)
| X5 = X4 ),
c_0_15,
[final] ).
cnf(c_0_23,axiom,
product(X1,identity_for(X1),X2,X2),
left_identity,
[final] ).
cnf(c_0_24,plain,
( ~ product(X1,X4,inverse(X1,X3),X2)
| product(X1,X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]),
[final] ).
cnf(c_0_25,plain,
( ~ product(X1,X4,X5,X7)
| ~ product(X1,X3,X5,X6)
| ~ product(X1,X2,X3,X4)
| product(X1,X2,X6,X7) ),
c_0_18,
[final] ).
cnf(c_0_26,plain,
( ~ group_member(X3,X2)
| ~ group_member(X1,X2)
| product(X2,X1,X3,multiply(X2,X1,X3)) ),
c_0_19,
[final] ).
cnf(c_0_27,plain,
( ~ group_member(X2,X1)
| group_member(multiply(X1,X2,identity_for(X1)),X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]),
[final] ).
cnf(c_0_29,axiom,
product(X1,X2,inverse(X1,X2),identity_for(X1)),
right_inverse,
[final] ).
cnf(c_0_30,plain,
( ~ product(X3,identity_for(X3),X2,X1)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_22,c_0_23]),
[final] ).
cnf(c_0_32,plain,
( ~ product(X1,X4,X5,X3)
| ~ product(X1,X2,X4,inverse(X1,X5))
| product(X1,X2,X3,identity_for(X1)) ),
inference(spm,[status(thm)],[c_0_25,c_0_13]),
[final] ).
cnf(c_0_33,plain,
( ~ group_member(X2,X1)
| product(X1,X2,identity_for(X1),multiply(X1,X2,identity_for(X1))) ),
inference(spm,[status(thm)],[c_0_26,c_0_21]),
[final] ).
cnf(c_0_35,plain,
( ~ group_member(X1,X2)
| group_member(inverse(X2,X1),X2) ),
c_0_28,
[final] ).
cnf(c_0_36,plain,
( ~ product(X1,X2,X4,X5)
| ~ product(X1,X4,inverse(X1,X5),X3)
| product(X1,X2,X3,identity_for(X1)) ),
inference(spm,[status(thm)],[c_0_25,c_0_29]),
[final] ).
cnf(c_0_37,plain,
inverse(X1,inverse(X1,X2)) = X2,
inference(spm,[status(thm)],[c_0_30,c_0_31]),
[final] ).
cnf(c_0_38,plain,
( ~ product(X1,inverse(X1,X3),X3,X2)
| product(X1,identity_for(X1),X2,identity_for(X1)) ),
inference(spm,[status(thm)],[c_0_32,c_0_23]),
[final] ).
cnf(c_0_39,plain,
( ~ product(X1,X4,X5,X2)
| ~ product(X1,X4,X5,X3)
| product(X1,X2,identity_for(X1),X3) ),
inference(spm,[status(thm)],[c_0_12,c_0_17]),
[final] ).
cnf(c_0_40,plain,
( ~ product(X1,X5,X4,X3)
| ~ product(X1,X2,X5,identity_for(X1))
| product(X1,X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_25,c_0_23]),
[final] ).
cnf(c_0_41,plain,
inverse(X1,identity_for(X1)) = identity_for(X1),
inference(spm,[status(thm)],[c_0_30,c_0_29]),
[final] ).
cnf(c_0_42,plain,
( ~ product(X3,X2,identity_for(X3),X1)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_22,c_0_17]),
[final] ).
cnf(c_0_44,plain,
group_member(multiply(X1,multiply(X1,identity_for(X1),identity_for(X1)),identity_for(X1)),X1),
inference(spm,[status(thm)],[c_0_27,c_0_34]),
[final] ).
cnf(c_0_45,plain,
group_member(inverse(X1,multiply(X1,identity_for(X1),identity_for(X1))),X1),
inference(spm,[status(thm)],[c_0_35,c_0_34]),
[final] ).
cnf(c_0_46,plain,
( ~ product(X1,X2,identity_for(X1),X3)
| product(X1,X2,inverse(X1,X3),identity_for(X1)) ),
inference(spm,[status(thm)],[c_0_36,c_0_23]),
[final] ).
cnf(c_0_47,plain,
( ~ product(X1,X2,X3,X3)
| product(X1,X2,identity_for(X1),identity_for(X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_13]),c_0_37]),
[final] ).
cnf(c_0_48,plain,
( ~ product(X1,X3,inverse(X1,X3),X2)
| product(X1,identity_for(X1),X2,identity_for(X1)) ),
inference(spm,[status(thm)],[c_0_38,c_0_37]),
[final] ).
cnf(c_0_49,plain,
( ~ product(X1,identity_for(X1),X2,X3)
| product(X1,inverse(X1,X2),X3,identity_for(X1)) ),
inference(spm,[status(thm)],[c_0_32,c_0_17]),
[final] ).
cnf(c_0_50,plain,
( ~ product(X1,X5,X3,X2)
| ~ product(X1,X5,identity_for(X1),X4)
| product(X1,X2,inverse(X1,X3),X4) ),
inference(spm,[status(thm)],[c_0_12,c_0_29]),
[final] ).
cnf(c_0_51,plain,
( ~ product(X1,X3,inverse(X1,X3),X2)
| product(X1,X2,identity_for(X1),identity_for(X1)) ),
inference(spm,[status(thm)],[c_0_39,c_0_29]),
[final] ).
cnf(c_0_52,plain,
( ~ product(X1,inverse(X1,X3),X3,X2)
| product(X1,X2,identity_for(X1),identity_for(X1)) ),
inference(spm,[status(thm)],[c_0_39,c_0_13]),
[final] ).
cnf(c_0_53,plain,
( ~ product(X1,identity_for(X1),X3,X2)
| product(X1,X2,identity_for(X1),X3) ),
inference(spm,[status(thm)],[c_0_39,c_0_23]),
[final] ).
cnf(c_0_54,plain,
( ~ product(X1,X2,X5,X4)
| ~ product(X1,X5,identity_for(X1),X3)
| product(X1,X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_25,c_0_17]),
[final] ).
cnf(c_0_55,plain,
( ~ product(X1,identity_for(X1),X3,X2)
| product(X1,identity_for(X1),X2,X3) ),
inference(spm,[status(thm)],[c_0_40,c_0_23]),
[final] ).
cnf(c_0_56,plain,
( ~ product(X1,X2,X4,X3)
| product(X1,inverse(X1,X2),X3,X4) ),
inference(spm,[status(thm)],[c_0_40,c_0_13]),
[final] ).
cnf(c_0_57,plain,
( ~ product(X1,inverse(X1,X2),X4,X3)
| product(X1,X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_40,c_0_29]),
[final] ).
cnf(c_0_58,plain,
( ~ product(X1,X3,identity_for(X1),X2)
| product(X1,X2,identity_for(X1),X3) ),
inference(spm,[status(thm)],[c_0_24,c_0_41]),
[final] ).
cnf(c_0_59,plain,
( ~ product(X1,X4,X3,X2)
| product(X1,X2,inverse(X1,X3),X4) ),
inference(spm,[status(thm)],[c_0_24,c_0_37]),
[final] ).
cnf(c_0_60,plain,
( ~ product(X1,X5,X3,X4)
| ~ product(X1,X5,identity_for(X1),X2)
| product(X1,X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_12,c_0_23]),
[final] ).
cnf(c_0_61,plain,
( ~ product(X2,inverse(X2,X3),X3,X1)
| X1 = identity_for(X2) ),
inference(spm,[status(thm)],[c_0_22,c_0_13]),
[final] ).
cnf(c_0_62,plain,
( ~ product(X2,X3,inverse(X2,X3),X1)
| X1 = identity_for(X2) ),
inference(spm,[status(thm)],[c_0_22,c_0_29]),
[final] ).
cnf(c_0_63,plain,
multiply(X1,identity_for(X1),identity_for(X1)) = identity_for(X1),
inference(spm,[status(thm)],[c_0_42,c_0_43]),
[final] ).
cnf(c_0_64,plain,
group_member(inverse(X1,multiply(X1,multiply(X1,identity_for(X1),identity_for(X1)),identity_for(X1))),X1),
inference(spm,[status(thm)],[c_0_35,c_0_44]),
[final] ).
cnf(c_0_65,plain,
group_member(multiply(X1,inverse(X1,multiply(X1,identity_for(X1),identity_for(X1))),identity_for(X1)),X1),
inference(spm,[status(thm)],[c_0_27,c_0_45]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP395-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.35 % Computer : n007.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 20:09:35 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 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
% 0.12/0.41 % Version: 3.5.1
% 0.12/0.41 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.41 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.41 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.41 % Starting new_bool_3 with 300s (1) cores
% 0.12/0.41 % Starting new_bool_1 with 300s (1) cores
% 0.12/0.41 % Starting sh5l with 300s (1) cores
% 0.12/0.41 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3483338 completed with status 1
% 0.12/0.41 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.12/0.41 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.41 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.41 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.41 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.12/0.41 % No SInE strategy applied
% 0.12/0.41 % Search class: FHUSM-FFSF32-SFFFFFNN
% 0.12/0.41 % partial match(1): FHUSM-FFSF22-SFFFFFNN
% 0.12/0.41 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.12/0.41 % Starting SubtermCWHack with 136s (1) cores
% 0.12/0.41 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.12/0.41 % Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_RG_S2S with 136s (1) cores
% 0.12/0.41 % Starting new_bool_3 with 136s (1) cores
% 0.12/0.41 % Starting new_bool_1 with 136s (1) cores
% 0.12/0.41 % H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_RG_S2S with pid 3483347 completed with status 1
% 0.12/0.41 % Result found by H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_RG_S2S
% 0.12/0.41 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.41 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.41 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.41 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.12/0.41 % No SInE strategy applied
% 0.12/0.41 % Search class: FHUSM-FFSF32-SFFFFFNN
% 0.12/0.41 % partial match(1): FHUSM-FFSF22-SFFFFFNN
% 0.12/0.41 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.12/0.41 % Starting SubtermCWHack with 136s (1) cores
% 0.12/0.41 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.12/0.41 % Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_RG_S2S with 136s (1) cores
% 0.12/0.41 % Preprocessing time : 0.001 s
% 0.12/0.41 % Presaturation interreduction done
% 0.12/0.41
% 0.12/0.41 % No proof found!
% 0.12/0.41 % SZS status Satisfiable
% 0.12/0.41 % SZS output start Saturation
% See solution above
% 0.12/0.41 % Parsed axioms : 11
% 0.12/0.41 % Removed by relevancy pruning/SinE : 0
% 0.12/0.41 % Initial clauses : 11
% 0.12/0.41 % Removed in clause preprocessing : 0
% 0.12/0.41 % Initial clauses in saturation : 11
% 0.12/0.41 % Processed clauses : 106
% 0.12/0.41 % ...of these trivial : 9
% 0.12/0.41 % ...subsumed : 34
% 0.12/0.41 % ...remaining for further processing : 63
% 0.12/0.41 % Other redundant clauses eliminated : 0
% 0.12/0.41 % Clauses deleted for lack of memory : 0
% 0.12/0.41 % Backward-subsumed : 0
% 0.12/0.41 % Backward-rewritten : 6
% 0.12/0.41 % Generated clauses : 166
% 0.12/0.41 % ...of the previous two non-redundant : 103
% 0.12/0.41 % ...aggressively subsumed : 0
% 0.12/0.41 % Contextual simplify-reflections : 0
% 0.12/0.41 % Paramodulations : 166
% 0.12/0.41 % Factorizations : 0
% 0.12/0.41 % NegExts : 0
% 0.12/0.41 % Equation resolutions : 0
% 0.12/0.41 % Disequality decompositions : 0
% 0.12/0.41 % Total rewrite steps : 199
% 0.12/0.41 % ...of those cached : 185
% 0.12/0.41 % Propositional unsat checks : 0
% 0.12/0.41 % Propositional check models : 0
% 0.12/0.41 % Propositional check unsatisfiable : 0
% 0.12/0.41 % Propositional clauses : 0
% 0.12/0.41 % Propositional clauses after purity: 0
% 0.12/0.41 % Propositional unsat core size : 0
% 0.12/0.41 % Propositional preprocessing time : 0.000
% 0.12/0.41 % Propositional encoding time : 0.000
% 0.12/0.41 % Propositional solver time : 0.000
% 0.12/0.41 % Success case prop preproc time : 0.000
% 0.12/0.41 % Success case prop encoding time : 0.000
% 0.12/0.41 % Success case prop solver time : 0.000
% 0.12/0.41 % Current number of processed clauses : 46
% 0.12/0.41 % Positive orientable unit clauses : 12
% 0.12/0.41 % Positive unorientable unit clauses: 0
% 0.12/0.41 % Negative unit clauses : 0
% 0.12/0.41 % Non-unit-clauses : 34
% 0.12/0.41 % Current number of unprocessed clauses: 0
% 0.12/0.41 % ...number of literals in the above : 0
% 0.12/0.41 % Current number of archived formulas : 0
% 0.12/0.41 % Current number of archived clauses : 17
% 0.12/0.41 % Clause-clause subsumption calls (NU) : 593
% 0.12/0.41 % Rec. Clause-clause subsumption calls : 563
% 0.12/0.41 % Non-unit clause-clause subsumptions : 34
% 0.12/0.41 % Unit Clause-clause subsumption calls : 0
% 0.12/0.41 % Rewrite failures with RHS unbound : 0
% 0.12/0.41 % BW rewrite match attempts : 19
% 0.12/0.41 % BW rewrite match successes : 5
% 0.12/0.41 % Condensation attempts : 0
% 0.12/0.41 % Condensation successes : 0
% 0.12/0.41 % Termbank termtop insertions : 2402
% 0.12/0.41 % Search garbage collected termcells : 25
% 0.12/0.41
% 0.12/0.41 % -------------------------------------------------
% 0.12/0.41 % User time : 0.004 s
% 0.12/0.41 % System time : 0.003 s
% 0.12/0.41 % Total time : 0.007 s
% 0.12/0.41 % Maximum resident set size: 3644 pages
% 0.12/0.41
% 0.12/0.41 % -------------------------------------------------
% 0.12/0.41 % User time : 0.019 s
% 0.12/0.41 % System time : 0.013 s
% 0.12/0.41 % Total time : 0.032 s
% 0.12/0.41 % Maximum resident set size: 4864 pages
% 0.12/0.41 % E exiting
%------------------------------------------------------------------------------