TSTP Solution File: GRP005-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : GRP005-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n024.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 17:43:26 EDT 2023

% Result   : Unsatisfiable 0.20s 0.48s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   10 (   8 unt;   0 nHn;   8 RR)
%            Number of literals    :   16 (   0 equ;   9 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :    9 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(condition,axiom,
    ( an_element(X3)
    | ~ an_element(X1)
    | ~ an_element(X2)
    | ~ product(X1,inverse(X2),X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.vbuj2KWWCe/E---3.1_23182.p',condition) ).

cnf(right_inverse,axiom,
    product(X1,inverse(X1),identity),
    file('/export/starexec/sandbox2/tmp/tmp.vbuj2KWWCe/E---3.1_23182.p',right_inverse) ).

cnf(prove_identity_is_an_element,negated_conjecture,
    ~ an_element(identity),
    file('/export/starexec/sandbox2/tmp/tmp.vbuj2KWWCe/E---3.1_23182.p',prove_identity_is_an_element) ).

cnf(element_of_set,axiom,
    an_element(a),
    file('/export/starexec/sandbox2/tmp/tmp.vbuj2KWWCe/E---3.1_23182.p',element_of_set) ).

cnf(c_0_4,axiom,
    ( an_element(X3)
    | ~ an_element(X1)
    | ~ an_element(X2)
    | ~ product(X1,inverse(X2),X3) ),
    condition ).

cnf(c_0_5,axiom,
    product(X1,inverse(X1),identity),
    right_inverse ).

cnf(c_0_6,negated_conjecture,
    ~ an_element(identity),
    prove_identity_is_an_element ).

cnf(c_0_7,axiom,
    an_element(a),
    element_of_set ).

cnf(c_0_8,plain,
    ~ an_element(X1),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_5]),c_0_6]) ).

cnf(c_0_9,plain,
    $false,
    inference(sr,[status(thm)],[c_0_7,c_0_8]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : GRP005-1 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n024.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 2400
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Oct  3 02:21:12 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.20/0.47  Running first-order model finding
% 0.20/0.47  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.vbuj2KWWCe/E---3.1_23182.p
% 0.20/0.48  # Version: 3.1pre001
% 0.20/0.48  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.20/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.48  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.20/0.48  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.48  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.48  # Starting sh5l with 300s (1) cores
% 0.20/0.48  # sh5l with pid 23276 completed with status 0
% 0.20/0.48  # Result found by sh5l
% 0.20/0.48  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.20/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.48  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.20/0.48  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.48  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.48  # Starting sh5l with 300s (1) cores
% 0.20/0.48  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.20/0.48  # Search class: FHUNM-FFSF11-SFFFFFNN
% 0.20/0.48  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.48  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.20/0.48  # SAT001_MinMin_p005000_rr_RG with pid 23282 completed with status 0
% 0.20/0.48  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.20/0.48  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.20/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.48  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.20/0.48  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.48  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.48  # Starting sh5l with 300s (1) cores
% 0.20/0.48  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.20/0.48  # Search class: FHUNM-FFSF11-SFFFFFNN
% 0.20/0.48  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.48  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.20/0.48  # Preprocessing time       : 0.001 s
% 0.20/0.48  # Presaturation interreduction done
% 0.20/0.48  
% 0.20/0.48  # Proof found!
% 0.20/0.48  # SZS status Unsatisfiable
% 0.20/0.48  # SZS output start CNFRefutation
% See solution above
% 0.20/0.48  # Parsed axioms                        : 9
% 0.20/0.48  # Removed by relevancy pruning/SinE    : 0
% 0.20/0.48  # Initial clauses                      : 9
% 0.20/0.48  # Removed in clause preprocessing      : 0
% 0.20/0.48  # Initial clauses in saturation        : 9
% 0.20/0.48  # Processed clauses                    : 19
% 0.20/0.48  # ...of these trivial                  : 0
% 0.20/0.48  # ...subsumed                          : 1
% 0.20/0.48  # ...remaining for further processing  : 18
% 0.20/0.48  # Other redundant clauses eliminated   : 0
% 0.20/0.48  # Clauses deleted for lack of memory   : 0
% 0.20/0.48  # Backward-subsumed                    : 2
% 0.20/0.48  # Backward-rewritten                   : 0
% 0.20/0.48  # Generated clauses                    : 8
% 0.20/0.48  # ...of the previous two non-redundant : 7
% 0.20/0.48  # ...aggressively subsumed             : 0
% 0.20/0.48  # Contextual simplify-reflections      : 0
% 0.20/0.48  # Paramodulations                      : 7
% 0.20/0.48  # Factorizations                       : 0
% 0.20/0.48  # NegExts                              : 0
% 0.20/0.48  # Equation resolutions                 : 0
% 0.20/0.48  # Total rewrite steps                  : 0
% 0.20/0.48  # Propositional unsat checks           : 0
% 0.20/0.48  #    Propositional check models        : 0
% 0.20/0.48  #    Propositional check unsatisfiable : 0
% 0.20/0.48  #    Propositional clauses             : 0
% 0.20/0.48  #    Propositional clauses after purity: 0
% 0.20/0.48  #    Propositional unsat core size     : 0
% 0.20/0.48  #    Propositional preprocessing time  : 0.000
% 0.20/0.48  #    Propositional encoding time       : 0.000
% 0.20/0.48  #    Propositional solver time         : 0.000
% 0.20/0.48  #    Success case prop preproc time    : 0.000
% 0.20/0.48  #    Success case prop encoding time   : 0.000
% 0.20/0.48  #    Success case prop solver time     : 0.000
% 0.20/0.48  # Current number of processed clauses  : 6
% 0.20/0.48  #    Positive orientable unit clauses  : 4
% 0.20/0.48  #    Positive unorientable unit clauses: 0
% 0.20/0.48  #    Negative unit clauses             : 1
% 0.20/0.48  #    Non-unit-clauses                  : 1
% 0.20/0.48  # Current number of unprocessed clauses: 6
% 0.20/0.48  # ...number of literals in the above   : 18
% 0.20/0.48  # Current number of archived formulas  : 0
% 0.20/0.48  # Current number of archived clauses   : 12
% 0.20/0.48  # Clause-clause subsumption calls (NU) : 2
% 0.20/0.48  # Rec. Clause-clause subsumption calls : 2
% 0.20/0.48  # Non-unit clause-clause subsumptions  : 0
% 0.20/0.48  # Unit Clause-clause subsumption calls : 2
% 0.20/0.48  # Rewrite failures with RHS unbound    : 0
% 0.20/0.48  # BW rewrite match attempts            : 0
% 0.20/0.48  # BW rewrite match successes           : 0
% 0.20/0.48  # Condensation attempts                : 0
% 0.20/0.48  # Condensation successes               : 0
% 0.20/0.48  # Termbank termtop insertions          : 285
% 0.20/0.48  
% 0.20/0.48  # -------------------------------------------------
% 0.20/0.48  # User time                : 0.002 s
% 0.20/0.48  # System time              : 0.002 s
% 0.20/0.48  # Total time               : 0.004 s
% 0.20/0.48  # Maximum resident set size: 1640 pages
% 0.20/0.48  
% 0.20/0.48  # -------------------------------------------------
% 0.20/0.48  # User time                : 0.004 s
% 0.20/0.48  # System time              : 0.003 s
% 0.20/0.48  # Total time               : 0.007 s
% 0.20/0.48  # Maximum resident set size: 1676 pages
% 0.20/0.48  % E---3.1 exiting
%------------------------------------------------------------------------------