TSTP Solution File: FLD030-4 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : FLD030-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n023.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 17:30:02 EDT 2023

% Result   : Unsatisfiable 0.15s 0.41s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   15 (   9 unt;   0 nHn;  15 RR)
%            Number of literals    :   26 (   0 equ;  13 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    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   18 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(associativity_multiplication_2,axiom,
    ( product(X1,X2,X3)
    | ~ product(X4,X5,X1)
    | ~ product(X5,X2,X6)
    | ~ product(X4,X6,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.lmHv1HqtSD/E---3.1_18942.p',associativity_multiplication_2) ).

cnf(product_5,negated_conjecture,
    product(a,b,c),
    file('/export/starexec/sandbox/tmp/tmp.lmHv1HqtSD/E---3.1_18942.p',product_5) ).

cnf(existence_of_identity_multiplication,axiom,
    ( product(multiplicative_identity,X1,X1)
    | ~ defined(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.lmHv1HqtSD/E---3.1_18942.p',existence_of_identity_multiplication) ).

cnf(c_is_defined,hypothesis,
    defined(c),
    file('/export/starexec/sandbox/tmp/tmp.lmHv1HqtSD/E---3.1_18942.p',c_is_defined) ).

cnf(product_6,negated_conjecture,
    product(multiplicative_identity,a,d),
    file('/export/starexec/sandbox/tmp/tmp.lmHv1HqtSD/E---3.1_18942.p',product_6) ).

cnf(not_product_7,negated_conjecture,
    ~ product(d,b,c),
    file('/export/starexec/sandbox/tmp/tmp.lmHv1HqtSD/E---3.1_18942.p',not_product_7) ).

cnf(c_0_6,axiom,
    ( product(X1,X2,X3)
    | ~ product(X4,X5,X1)
    | ~ product(X5,X2,X6)
    | ~ product(X4,X6,X3) ),
    associativity_multiplication_2 ).

cnf(c_0_7,negated_conjecture,
    product(a,b,c),
    product_5 ).

cnf(c_0_8,negated_conjecture,
    ( product(X1,b,X2)
    | ~ product(X3,c,X2)
    | ~ product(X3,a,X1) ),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_9,axiom,
    ( product(multiplicative_identity,X1,X1)
    | ~ defined(X1) ),
    existence_of_identity_multiplication ).

cnf(c_0_10,hypothesis,
    defined(c),
    c_is_defined ).

cnf(c_0_11,negated_conjecture,
    ( product(X1,b,c)
    | ~ product(multiplicative_identity,a,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10])]) ).

cnf(c_0_12,negated_conjecture,
    product(multiplicative_identity,a,d),
    product_6 ).

cnf(c_0_13,negated_conjecture,
    ~ product(d,b,c),
    not_product_7 ).

cnf(c_0_14,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem    : FLD030-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.02/0.10  % Command    : run_E %s %d THM
% 0.10/0.30  % Computer : n023.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 2400
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Mon Oct  2 23:28:52 EDT 2023
% 0.10/0.30  % CPUTime    : 
% 0.15/0.40  Running first-order theorem proving
% 0.15/0.40  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/tmp/tmp.lmHv1HqtSD/E---3.1_18942.p
% 0.15/0.41  # Version: 3.1pre001
% 0.15/0.41  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.41  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.41  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.41  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.41  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.41  # Starting sh5l with 300s (1) cores
% 0.15/0.41  # sh5l with pid 19025 completed with status 0
% 0.15/0.41  # Result found by sh5l
% 0.15/0.41  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.41  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.41  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.41  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.41  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.41  # Starting sh5l with 300s (1) cores
% 0.15/0.41  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.15/0.41  # Search class: FGUNF-FFMM11-SFFFFFNN
% 0.15/0.41  # partial match(1): FGUNF-FFMM21-SFFFFFNN
% 0.15/0.41  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.41  # Starting G-E--_006_C18_F1_PI_AE_Q4_CS_SP_S2S with 118s (1) cores
% 0.15/0.41  # G-E--_006_C18_F1_PI_AE_Q4_CS_SP_S2S with pid 19032 completed with status 0
% 0.15/0.41  # Result found by G-E--_006_C18_F1_PI_AE_Q4_CS_SP_S2S
% 0.15/0.41  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.41  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.41  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.41  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.41  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.41  # Starting sh5l with 300s (1) cores
% 0.15/0.41  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.15/0.41  # Search class: FGUNF-FFMM11-SFFFFFNN
% 0.15/0.41  # partial match(1): FGUNF-FFMM21-SFFFFFNN
% 0.15/0.41  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.41  # Starting G-E--_006_C18_F1_PI_AE_Q4_CS_SP_S2S with 118s (1) cores
% 0.15/0.41  # Preprocessing time       : 0.001 s
% 0.15/0.41  
% 0.15/0.41  # Proof found!
% 0.15/0.41  # SZS status Unsatisfiable
% 0.15/0.41  # SZS output start CNFRefutation
% See solution above
% 0.15/0.41  # Parsed axioms                        : 33
% 0.15/0.41  # Removed by relevancy pruning/SinE    : 4
% 0.15/0.41  # Initial clauses                      : 29
% 0.15/0.41  # Removed in clause preprocessing      : 0
% 0.15/0.41  # Initial clauses in saturation        : 29
% 0.15/0.41  # Processed clauses                    : 51
% 0.15/0.41  # ...of these trivial                  : 1
% 0.15/0.41  # ...subsumed                          : 2
% 0.15/0.41  # ...remaining for further processing  : 48
% 0.15/0.41  # Other redundant clauses eliminated   : 0
% 0.15/0.41  # Clauses deleted for lack of memory   : 0
% 0.15/0.41  # Backward-subsumed                    : 0
% 0.15/0.41  # Backward-rewritten                   : 0
% 0.15/0.41  # Generated clauses                    : 96
% 0.15/0.41  # ...of the previous two non-redundant : 84
% 0.15/0.41  # ...aggressively subsumed             : 0
% 0.15/0.41  # Contextual simplify-reflections      : 0
% 0.15/0.41  # Paramodulations                      : 94
% 0.15/0.41  # Factorizations                       : 2
% 0.15/0.41  # NegExts                              : 0
% 0.15/0.41  # Equation resolutions                 : 0
% 0.15/0.41  # Total rewrite steps                  : 28
% 0.15/0.41  # Propositional unsat checks           : 0
% 0.15/0.41  #    Propositional check models        : 0
% 0.15/0.41  #    Propositional check unsatisfiable : 0
% 0.15/0.41  #    Propositional clauses             : 0
% 0.15/0.41  #    Propositional clauses after purity: 0
% 0.15/0.41  #    Propositional unsat core size     : 0
% 0.15/0.41  #    Propositional preprocessing time  : 0.000
% 0.15/0.41  #    Propositional encoding time       : 0.000
% 0.15/0.41  #    Propositional solver time         : 0.000
% 0.15/0.41  #    Success case prop preproc time    : 0.000
% 0.15/0.41  #    Success case prop encoding time   : 0.000
% 0.15/0.41  #    Success case prop solver time     : 0.000
% 0.15/0.41  # Current number of processed clauses  : 48
% 0.15/0.41  #    Positive orientable unit clauses  : 14
% 0.15/0.41  #    Positive unorientable unit clauses: 0
% 0.15/0.41  #    Negative unit clauses             : 2
% 0.15/0.41  #    Non-unit-clauses                  : 32
% 0.15/0.41  # Current number of unprocessed clauses: 62
% 0.15/0.41  # ...number of literals in the above   : 231
% 0.15/0.41  # Current number of archived formulas  : 0
% 0.15/0.41  # Current number of archived clauses   : 0
% 0.15/0.41  # Clause-clause subsumption calls (NU) : 106
% 0.15/0.41  # Rec. Clause-clause subsumption calls : 97
% 0.15/0.41  # Non-unit clause-clause subsumptions  : 2
% 0.15/0.41  # Unit Clause-clause subsumption calls : 0
% 0.15/0.41  # Rewrite failures with RHS unbound    : 0
% 0.15/0.41  # BW rewrite match attempts            : 0
% 0.15/0.41  # BW rewrite match successes           : 0
% 0.15/0.41  # Condensation attempts                : 0
% 0.15/0.41  # Condensation successes               : 0
% 0.15/0.41  # Termbank termtop insertions          : 1786
% 0.15/0.41  
% 0.15/0.41  # -------------------------------------------------
% 0.15/0.41  # User time                : 0.004 s
% 0.15/0.41  # System time              : 0.001 s
% 0.15/0.41  # Total time               : 0.005 s
% 0.15/0.41  # Maximum resident set size: 1788 pages
% 0.15/0.41  
% 0.15/0.41  # -------------------------------------------------
% 0.15/0.41  # User time                : 0.006 s
% 0.15/0.41  # System time              : 0.003 s
% 0.15/0.41  # Total time               : 0.008 s
% 0.15/0.41  # Maximum resident set size: 1700 pages
% 0.15/0.41  % E---3.1 exiting
% 0.15/0.41  % E---3.1 exiting
%------------------------------------------------------------------------------