TSTP Solution File: FLD034-3 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : FLD034-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n001.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 17:30:35 EDT 2023

% Result   : Unsatisfiable 0.16s 0.44s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   17 (   9 unt;   0 nHn;  17 RR)
%            Number of literals    :   30 (   0 equ;  15 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   24 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(existence_of_identity_multiplication,axiom,
    ( product(multiplicative_identity,X1,X1)
    | ~ defined(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.mHBge6z78k/E---3.1_2951.p',existence_of_identity_multiplication) ).

cnf(a_is_defined,hypothesis,
    defined(a),
    file('/export/starexec/sandbox2/tmp/tmp.mHBge6z78k/E---3.1_2951.p',a_is_defined) ).

cnf(associativity_multiplication_1,axiom,
    ( product(X1,X2,X3)
    | ~ product(X1,X4,X5)
    | ~ product(X4,X6,X2)
    | ~ product(X5,X6,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.mHBge6z78k/E---3.1_2951.p',associativity_multiplication_1) ).

cnf(commutativity_multiplication,axiom,
    ( product(X1,X2,X3)
    | ~ product(X2,X1,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.mHBge6z78k/E---3.1_2951.p',commutativity_multiplication) ).

cnf(product_3,negated_conjecture,
    product(multiplicative_identity,m,multiplicative_identity),
    file('/export/starexec/sandbox2/tmp/tmp.mHBge6z78k/E---3.1_2951.p',product_3) ).

cnf(not_product_4,negated_conjecture,
    ~ product(m,a,a),
    file('/export/starexec/sandbox2/tmp/tmp.mHBge6z78k/E---3.1_2951.p',not_product_4) ).

cnf(c_0_6,axiom,
    ( product(multiplicative_identity,X1,X1)
    | ~ defined(X1) ),
    existence_of_identity_multiplication ).

cnf(c_0_7,hypothesis,
    defined(a),
    a_is_defined ).

cnf(c_0_8,axiom,
    ( product(X1,X2,X3)
    | ~ product(X1,X4,X5)
    | ~ product(X4,X6,X2)
    | ~ product(X5,X6,X3) ),
    associativity_multiplication_1 ).

cnf(c_0_9,hypothesis,
    product(multiplicative_identity,a,a),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_10,hypothesis,
    ( product(X1,X2,a)
    | ~ product(X3,a,X2)
    | ~ product(X1,X3,multiplicative_identity) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_11,axiom,
    ( product(X1,X2,X3)
    | ~ product(X2,X1,X3) ),
    commutativity_multiplication ).

cnf(c_0_12,negated_conjecture,
    product(multiplicative_identity,m,multiplicative_identity),
    product_3 ).

cnf(c_0_13,negated_conjecture,
    ~ product(m,a,a),
    not_product_4 ).

cnf(c_0_14,hypothesis,
    ( product(X1,a,a)
    | ~ product(X1,multiplicative_identity,multiplicative_identity) ),
    inference(spm,[status(thm)],[c_0_10,c_0_9]) ).

cnf(c_0_15,negated_conjecture,
    product(m,multiplicative_identity,multiplicative_identity),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_16,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11  % Problem    : FLD034-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.08/0.12  % Command    : run_E %s %d THM
% 0.10/0.32  % Computer : n001.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 2400
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Mon Oct  2 23:57:52 EDT 2023
% 0.10/0.32  % CPUTime    : 
% 0.16/0.42  Running first-order model finding
% 0.16/0.42  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.mHBge6z78k/E---3.1_2951.p
% 0.16/0.44  # Version: 3.1pre001
% 0.16/0.44  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.44  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.44  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.44  # Starting sh5l with 300s (1) cores
% 0.16/0.44  # new_bool_3 with pid 3044 completed with status 0
% 0.16/0.44  # Result found by new_bool_3
% 0.16/0.44  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.44  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.44  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.44  # Search class: FHUNF-FFSS00-SFFFFFNN
% 0.16/0.44  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.44  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.16/0.44  # SAT001_MinMin_p005000_rr_RG with pid 3047 completed with status 0
% 0.16/0.44  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.16/0.44  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.44  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.44  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.44  # Search class: FHUNF-FFSS00-SFFFFFNN
% 0.16/0.44  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.44  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.16/0.44  # Preprocessing time       : 0.001 s
% 0.16/0.44  # Presaturation interreduction done
% 0.16/0.44  
% 0.16/0.44  # Proof found!
% 0.16/0.44  # SZS status Unsatisfiable
% 0.16/0.44  # SZS output start CNFRefutation
% See solution above
% 0.16/0.44  # Parsed axioms                        : 30
% 0.16/0.44  # Removed by relevancy pruning/SinE    : 13
% 0.16/0.44  # Initial clauses                      : 17
% 0.16/0.44  # Removed in clause preprocessing      : 0
% 0.16/0.44  # Initial clauses in saturation        : 17
% 0.16/0.44  # Processed clauses                    : 63
% 0.16/0.44  # ...of these trivial                  : 0
% 0.16/0.44  # ...subsumed                          : 3
% 0.16/0.44  # ...remaining for further processing  : 60
% 0.16/0.44  # Other redundant clauses eliminated   : 0
% 0.16/0.44  # Clauses deleted for lack of memory   : 0
% 0.16/0.44  # Backward-subsumed                    : 0
% 0.16/0.44  # Backward-rewritten                   : 0
% 0.16/0.44  # Generated clauses                    : 112
% 0.16/0.44  # ...of the previous two non-redundant : 86
% 0.16/0.44  # ...aggressively subsumed             : 0
% 0.16/0.44  # Contextual simplify-reflections      : 0
% 0.16/0.44  # Paramodulations                      : 112
% 0.16/0.44  # Factorizations                       : 0
% 0.16/0.44  # NegExts                              : 0
% 0.16/0.44  # Equation resolutions                 : 0
% 0.16/0.44  # Total rewrite steps                  : 18
% 0.16/0.44  # Propositional unsat checks           : 0
% 0.16/0.44  #    Propositional check models        : 0
% 0.16/0.44  #    Propositional check unsatisfiable : 0
% 0.16/0.44  #    Propositional clauses             : 0
% 0.16/0.44  #    Propositional clauses after purity: 0
% 0.16/0.44  #    Propositional unsat core size     : 0
% 0.16/0.44  #    Propositional preprocessing time  : 0.000
% 0.16/0.44  #    Propositional encoding time       : 0.000
% 0.16/0.44  #    Propositional solver time         : 0.000
% 0.16/0.44  #    Success case prop preproc time    : 0.000
% 0.16/0.44  #    Success case prop encoding time   : 0.000
% 0.16/0.44  #    Success case prop solver time     : 0.000
% 0.16/0.44  # Current number of processed clauses  : 43
% 0.16/0.44  #    Positive orientable unit clauses  : 16
% 0.16/0.44  #    Positive unorientable unit clauses: 0
% 0.16/0.44  #    Negative unit clauses             : 2
% 0.16/0.44  #    Non-unit-clauses                  : 25
% 0.16/0.44  # Current number of unprocessed clauses: 57
% 0.16/0.44  # ...number of literals in the above   : 207
% 0.16/0.44  # Current number of archived formulas  : 0
% 0.16/0.44  # Current number of archived clauses   : 17
% 0.16/0.44  # Clause-clause subsumption calls (NU) : 124
% 0.16/0.44  # Rec. Clause-clause subsumption calls : 124
% 0.16/0.44  # Non-unit clause-clause subsumptions  : 3
% 0.16/0.44  # Unit Clause-clause subsumption calls : 0
% 0.16/0.44  # Rewrite failures with RHS unbound    : 0
% 0.16/0.44  # BW rewrite match attempts            : 4
% 0.16/0.44  # BW rewrite match successes           : 0
% 0.16/0.44  # Condensation attempts                : 0
% 0.16/0.44  # Condensation successes               : 0
% 0.16/0.44  # Termbank termtop insertions          : 1833
% 0.16/0.44  
% 0.16/0.44  # -------------------------------------------------
% 0.16/0.44  # User time                : 0.005 s
% 0.16/0.44  # System time              : 0.001 s
% 0.16/0.44  # Total time               : 0.006 s
% 0.16/0.44  # Maximum resident set size: 1620 pages
% 0.16/0.44  
% 0.16/0.44  # -------------------------------------------------
% 0.16/0.44  # User time                : 0.007 s
% 0.16/0.44  # System time              : 0.001 s
% 0.16/0.44  # Total time               : 0.008 s
% 0.16/0.44  # Maximum resident set size: 1700 pages
% 0.16/0.44  % E---3.1 exiting
%------------------------------------------------------------------------------