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E---3.5.1.SAT-Sat.s

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%------------------------------------------------------------------------------
% 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/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 12:39:32 PM UTC 2026

% Result   : Satisfiable 0.28s 0.57s
% Output   : Saturation 0.28s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named left_inverseERROR: Could not build tree for root c_0_10ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_0_3,axiom,
    multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
    associativity,
    [final] ).

cnf(c_0_4,axiom,
    multiply(inverse(X1),X1) = identity,
    left_inverse,
    [final] ).

cnf(c_0_5,axiom,
    multiply(identity,X1) = X1,
    left_identity,
    [final] ).

cnf(c_0_6,plain,
    multiply(inverse(X1),multiply(X1,X2)) = X2,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_5]),
    [final] ).

cnf(c_0_9,plain,
    inverse(inverse(X1)) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_8]),c_0_7]),
    [final] ).

cnf(c_0_10,plain,
    multiply(X1,inverse(X1)) = identity,
    inference(spm,[status(thm)],[c_0_4,c_0_9]),
    [final] ).

cnf(c_0_12,plain,
    multiply(X1,identity) = X1,
    inference(rw,[status(thm)],[c_0_7,c_0_9]),
    [final] ).

cnf(c_0_16,plain,
    inverse(multiply(X1,X2)) = multiply(inverse(X2),inverse(X1)),
    inference(spm,[status(thm)],[c_0_6,c_0_14]),
    [final] ).

cnf(c_0_17,plain,
    multiply(X1,multiply(inverse(X1),X2)) = X2,
    inference(spm,[status(thm)],[c_0_6,c_0_9]),
    [final] ).

cnf(c_0_18,plain,
    inverse(identity) = identity,
    inference(spm,[status(thm)],[c_0_4,c_0_15]),
    [final] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GRP394-3 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.42  % Computer : n016.cluster.edu
% 0.17/0.42  % Model    : x86_64 x86_64
% 0.17/0.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42  % Memory   : 8046.5625MB
% 0.17/0.42  % OS       : Linux 6.8.0-71-generic
% 0.17/0.42  % CPULimit : 300
% 0.17/0.42  % WCLimit  : 300
% 0.17/0.42  % DateTime : Sun Sep 20 20:16:08 UTC 2026
% 0.17/0.43  % CPUTime  : 
% 0.17/0.43  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.50  Running first-order theorem proving
% 0.17/0.50  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
% 0.28/0.57  % Version: 3.5.1
% 0.28/0.57  % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.28/0.57  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.28/0.57  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.28/0.57  % Starting new_bool_3 with 300s (1) cores
% 0.28/0.57  % Starting new_bool_1 with 300s (1) cores
% 0.28/0.57  % Starting sh5l with 300s (1) cores
% 0.28/0.57  % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 703113 completed with status 1
% 0.28/0.57  % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.28/0.57  % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.28/0.57  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.28/0.57  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.28/0.57  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.28/0.57  % No SInE strategy applied
% 0.28/0.57  % Search class: FUUPS-FFSF21-SFFFFFNN
% 0.28/0.57  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.28/0.57  % Starting SubtermCWHack with 136s (1) cores
% 0.28/0.57  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.28/0.57  % Starting C12_02_nc_SAT001_MinMin_p005000_rr with 136s (1) cores
% 0.28/0.57  % Starting new_bool_3 with 136s (1) cores
% 0.28/0.57  % Starting new_bool_1 with 136s (1) cores
% 0.28/0.57  % C12_02_nc_SAT001_MinMin_p005000_rr with pid 703116 completed with status 1
% 0.28/0.57  % Result found by C12_02_nc_SAT001_MinMin_p005000_rr
% 0.28/0.57  % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.28/0.57  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.28/0.57  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.28/0.57  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.28/0.57  % No SInE strategy applied
% 0.28/0.57  % Search class: FUUPS-FFSF21-SFFFFFNN
% 0.28/0.57  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.28/0.57  % Starting SubtermCWHack with 136s (1) cores
% 0.28/0.57  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.28/0.57  % Starting C12_02_nc_SAT001_MinMin_p005000_rr with 136s (1) cores
% 0.28/0.57  % Preprocessing time       : 0.002 s
% 0.28/0.57  % Presaturation interreduction done
% 0.28/0.57  
% 0.28/0.57  % No proof found!
% 0.28/0.57  % SZS status Satisfiable
% 0.28/0.57  % SZS output start Saturation
% See solution above
% 0.28/0.57  % Parsed axioms                        : 3
% 0.28/0.57  % Removed by relevancy pruning/SinE    : 0
% 0.28/0.57  % Initial clauses                      : 3
% 0.28/0.57  % Removed in clause preprocessing      : 0
% 0.28/0.57  % Initial clauses in saturation        : 3
% 0.28/0.57  % Processed clauses                    : 23
% 0.28/0.57  % ...of these trivial                  : 4
% 0.28/0.57  % ...subsumed                          : 0
% 0.28/0.57  % ...remaining for further processing  : 19
% 0.28/0.57  % Other redundant clauses eliminated   : 0
% 0.28/0.57  % Clauses deleted for lack of memory   : 0
% 0.28/0.57  % Backward-subsumed                    : 0
% 0.28/0.57  % Backward-rewritten                   : 6
% 0.28/0.57  % Generated clauses                    : 89
% 0.28/0.57  % ...of the previous two non-redundant : 30
% 0.28/0.57  % ...aggressively subsumed             : 0
% 0.28/0.57  % Contextual simplify-reflections      : 0
% 0.28/0.57  % Paramodulations                      : 89
% 0.28/0.57  % Factorizations                       : 0
% 0.28/0.57  % NegExts                              : 0
% 0.28/0.57  % Equation resolutions                 : 0
% 0.28/0.57  % Disequality decompositions           : 0
% 0.28/0.57  % Total rewrite steps                  : 161
% 0.28/0.57  % ...of those cached                   : 103
% 0.28/0.57  % Propositional unsat checks           : 0
% 0.28/0.57  %    Propositional check models        : 0
% 0.28/0.57  %    Propositional check unsatisfiable : 0
% 0.28/0.57  %    Propositional clauses             : 0
% 0.28/0.57  %    Propositional clauses after purity: 0
% 0.28/0.57  %    Propositional unsat core size     : 0
% 0.28/0.57  %    Propositional preprocessing time  : 0.000
% 0.28/0.57  %    Propositional encoding time       : 0.000
% 0.28/0.57  %    Propositional solver time         : 0.000
% 0.28/0.57  %    Success case prop preproc time    : 0.000
% 0.28/0.57  %    Success case prop encoding time   : 0.000
% 0.28/0.57  %    Success case prop solver time     : 0.000
% 0.28/0.57  % Current number of processed clauses  : 10
% 0.28/0.57  %    Positive orientable unit clauses  : 10
% 0.28/0.57  %    Positive unorientable unit clauses: 0
% 0.28/0.57  %    Negative unit clauses             : 0
% 0.28/0.57  %    Non-unit-clauses                  : 0
% 0.28/0.57  % Current number of unprocessed clauses: 0
% 0.28/0.57  % ...number of literals in the above   : 0
% 0.28/0.57  % Current number of archived formulas  : 0
% 0.28/0.57  % Current number of archived clauses   : 9
% 0.28/0.57  % Clause-clause subsumption calls (NU) : 0
% 0.28/0.57  % Rec. Clause-clause subsumption calls : 0
% 0.28/0.57  % Non-unit clause-clause subsumptions  : 0
% 0.28/0.57  % Unit Clause-clause subsumption calls : 0
% 0.28/0.57  % Rewrite failures with RHS unbound    : 0
% 0.28/0.57  % BW rewrite match attempts            : 9
% 0.28/0.57  % BW rewrite match successes           : 6
% 0.28/0.57  % Condensation attempts                : 0
% 0.28/0.57  % Condensation successes               : 0
% 0.28/0.57  % Termbank termtop insertions          : 725
% 0.28/0.57  % Search garbage collected termcells   : 0
% 0.28/0.57  
% 0.28/0.57  % -------------------------------------------------
% 0.28/0.57  % User time                : 0.002 s
% 0.28/0.57  % System time              : 0.007 s
% 0.28/0.57  % Total time               : 0.009 s
% 0.28/0.57  % Maximum resident set size: 3636 pages
% 0.28/0.57  
% 0.28/0.57  % -------------------------------------------------
% 0.28/0.57  % User time                : 0.042 s
% 0.28/0.57  % System time              : 0.020 s
% 0.28/0.57  % Total time               : 0.062 s
% 0.28/0.57  % Maximum resident set size: 4608 pages
% 0.28/0.57  % E exiting
%------------------------------------------------------------------------------