TSTP Solution File: GRP028-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : GRP028-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n031.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 17:43:31 EDT 2023

% Result   : Unsatisfiable 0.14s 0.40s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   12 (   8 unt;   0 nHn;   7 RR)
%            Number of literals    :   21 (   0 equ;  11 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   0 con; 1-2 aty)
%            Number of variables   :   33 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(associativity,axiom,
    ( product(X3,X4,X6)
    | ~ product(X1,X2,X3)
    | ~ product(X2,X4,X5)
    | ~ product(X1,X5,X6) ),
    file('/export/starexec/sandbox/tmp/tmp.2cchFbKdH0/E---3.1_13744.p',associativity) ).

cnf(right_soln,hypothesis,
    product(X1,right_solution(X1,X2),X2),
    file('/export/starexec/sandbox/tmp/tmp.2cchFbKdH0/E---3.1_13744.p',right_soln) ).

cnf(left_soln,hypothesis,
    product(left_solution(X1,X2),X1,X2),
    file('/export/starexec/sandbox/tmp/tmp.2cchFbKdH0/E---3.1_13744.p',left_soln) ).

cnf(prove_there_is_a_right_identity,negated_conjecture,
    ~ product(not_identity(X1),X1,not_identity(X1)),
    file('/export/starexec/sandbox/tmp/tmp.2cchFbKdH0/E---3.1_13744.p',prove_there_is_a_right_identity) ).

cnf(c_0_4,axiom,
    ( product(X3,X4,X6)
    | ~ product(X1,X2,X3)
    | ~ product(X2,X4,X5)
    | ~ product(X1,X5,X6) ),
    associativity ).

cnf(c_0_5,hypothesis,
    product(X1,right_solution(X1,X2),X2),
    right_soln ).

cnf(c_0_6,hypothesis,
    ( product(X1,right_solution(X2,X3),X4)
    | ~ product(X5,X3,X4)
    | ~ product(X5,X2,X1) ),
    inference(spm,[status(thm)],[c_0_4,c_0_5]) ).

cnf(c_0_7,hypothesis,
    product(left_solution(X1,X2),X1,X2),
    left_soln ).

cnf(c_0_8,hypothesis,
    ( product(X1,right_solution(X2,X3),X4)
    | ~ product(left_solution(X3,X4),X2,X1) ),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_9,negated_conjecture,
    ~ product(not_identity(X1),X1,not_identity(X1)),
    prove_there_is_a_right_identity ).

cnf(c_0_10,hypothesis,
    product(X1,right_solution(X2,X2),X1),
    inference(spm,[status(thm)],[c_0_8,c_0_7]) ).

cnf(c_0_11,negated_conjecture,
    $false,
    inference(spm,[status(thm)],[c_0_9,c_0_10]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem    : GRP028-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.09  % Command    : run_E %s %d THM
% 0.08/0.29  % Computer : n031.cluster.edu
% 0.08/0.29  % Model    : x86_64 x86_64
% 0.08/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29  % Memory   : 8042.1875MB
% 0.08/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29  % CPULimit   : 2400
% 0.08/0.29  % WCLimit    : 300
% 0.08/0.29  % DateTime   : Tue Oct  3 03:31:28 EDT 2023
% 0.08/0.29  % CPUTime    : 
% 0.14/0.39  Running first-order model finding
% 0.14/0.39  Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.2cchFbKdH0/E---3.1_13744.p
% 0.14/0.40  # Version: 3.1pre001
% 0.14/0.40  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.14/0.40  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.40  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.14/0.40  # Starting new_bool_3 with 300s (1) cores
% 0.14/0.40  # Starting new_bool_1 with 300s (1) cores
% 0.14/0.40  # Starting sh5l with 300s (1) cores
% 0.14/0.40  # new_bool_3 with pid 13822 completed with status 0
% 0.14/0.40  # Result found by new_bool_3
% 0.14/0.40  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.14/0.40  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.40  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.14/0.40  # Starting new_bool_3 with 300s (1) cores
% 0.14/0.40  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/0.40  # Search class: FHUNS-FFSF21-SFFFFFNN
% 0.14/0.40  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.40  # Starting G-E--_208_C12_00_F1_SE_CS_PI_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.14/0.40  # G-E--_208_C12_00_F1_SE_CS_PI_SP_PS_S5PRR_RG_S04AN with pid 13827 completed with status 0
% 0.14/0.40  # Result found by G-E--_208_C12_00_F1_SE_CS_PI_SP_PS_S5PRR_RG_S04AN
% 0.14/0.40  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.14/0.40  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.40  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.14/0.40  # Starting new_bool_3 with 300s (1) cores
% 0.14/0.40  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/0.40  # Search class: FHUNS-FFSF21-SFFFFFNN
% 0.14/0.40  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.40  # Starting G-E--_208_C12_00_F1_SE_CS_PI_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.14/0.40  # Preprocessing time       : 0.001 s
% 0.14/0.40  # Presaturation interreduction done
% 0.14/0.40  
% 0.14/0.40  # Proof found!
% 0.14/0.40  # SZS status Unsatisfiable
% 0.14/0.40  # SZS output start CNFRefutation
% See solution above
% 0.14/0.40  # Parsed axioms                        : 4
% 0.14/0.40  # Removed by relevancy pruning/SinE    : 0
% 0.14/0.40  # Initial clauses                      : 4
% 0.14/0.40  # Removed in clause preprocessing      : 0
% 0.14/0.40  # Initial clauses in saturation        : 4
% 0.14/0.40  # Processed clauses                    : 13
% 0.14/0.40  # ...of these trivial                  : 0
% 0.14/0.40  # ...subsumed                          : 0
% 0.14/0.40  # ...remaining for further processing  : 13
% 0.14/0.40  # Other redundant clauses eliminated   : 0
% 0.14/0.40  # Clauses deleted for lack of memory   : 0
% 0.14/0.40  # Backward-subsumed                    : 0
% 0.14/0.40  # Backward-rewritten                   : 0
% 0.14/0.40  # Generated clauses                    : 12
% 0.14/0.40  # ...of the previous two non-redundant : 7
% 0.14/0.40  # ...aggressively subsumed             : 0
% 0.14/0.40  # Contextual simplify-reflections      : 0
% 0.14/0.40  # Paramodulations                      : 12
% 0.14/0.40  # Factorizations                       : 0
% 0.14/0.40  # NegExts                              : 0
% 0.14/0.40  # Equation resolutions                 : 0
% 0.14/0.40  # Total rewrite steps                  : 0
% 0.14/0.40  # Propositional unsat checks           : 0
% 0.14/0.40  #    Propositional check models        : 0
% 0.14/0.40  #    Propositional check unsatisfiable : 0
% 0.14/0.40  #    Propositional clauses             : 0
% 0.14/0.40  #    Propositional clauses after purity: 0
% 0.14/0.40  #    Propositional unsat core size     : 0
% 0.14/0.40  #    Propositional preprocessing time  : 0.000
% 0.14/0.40  #    Propositional encoding time       : 0.000
% 0.14/0.40  #    Propositional solver time         : 0.000
% 0.14/0.40  #    Success case prop preproc time    : 0.000
% 0.14/0.40  #    Success case prop encoding time   : 0.000
% 0.14/0.40  #    Success case prop solver time     : 0.000
% 0.14/0.40  # Current number of processed clauses  : 9
% 0.14/0.40  #    Positive orientable unit clauses  : 3
% 0.14/0.40  #    Positive unorientable unit clauses: 0
% 0.14/0.40  #    Negative unit clauses             : 1
% 0.14/0.40  #    Non-unit-clauses                  : 5
% 0.14/0.40  # Current number of unprocessed clauses: 2
% 0.14/0.40  # ...number of literals in the above   : 3
% 0.14/0.40  # Current number of archived formulas  : 0
% 0.14/0.40  # Current number of archived clauses   : 4
% 0.14/0.40  # Clause-clause subsumption calls (NU) : 9
% 0.14/0.40  # Rec. Clause-clause subsumption calls : 7
% 0.14/0.40  # Non-unit clause-clause subsumptions  : 0
% 0.14/0.40  # Unit Clause-clause subsumption calls : 2
% 0.14/0.40  # Rewrite failures with RHS unbound    : 0
% 0.14/0.40  # BW rewrite match attempts            : 2
% 0.14/0.40  # BW rewrite match successes           : 0
% 0.14/0.40  # Condensation attempts                : 0
% 0.14/0.40  # Condensation successes               : 0
% 0.14/0.40  # Termbank termtop insertions          : 236
% 0.14/0.40  
% 0.14/0.40  # -------------------------------------------------
% 0.14/0.40  # User time                : 0.003 s
% 0.14/0.40  # System time              : 0.000 s
% 0.14/0.40  # Total time               : 0.003 s
% 0.14/0.40  # Maximum resident set size: 1640 pages
% 0.14/0.40  
% 0.14/0.40  # -------------------------------------------------
% 0.14/0.40  # User time                : 0.003 s
% 0.14/0.40  # System time              : 0.003 s
% 0.14/0.40  # Total time               : 0.005 s
% 0.14/0.40  # Maximum resident set size: 1668 pages
% 0.14/0.40  % E---3.1 exiting
%------------------------------------------------------------------------------