TSTP Solution File: SYN334+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SYN334+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n009.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 : 300s
% WCLimit  : 600s
% DateTime : Thu Jul 21 04:51:22 EDT 2022

% Result   : Theorem 8.00s 2.43s
% Output   : CNFRefutation 8.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   21 (   2 unt;   4 nHn;  18 RR)
%            Number of literals    :   48 (   0 equ;  28 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 2-2 aty)
%            Number of variables   :   40 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_3,negated_conjecture,
    ( big_f(X1,X2)
    | ~ big_g(esk1_2(X1,X2),esk1_2(X1,X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qbr3xm8m/input.p',i_0_3) ).

cnf(i_0_1,negated_conjecture,
    ( big_g(X1,X2)
    | big_g(esk1_2(X1,X2),esk1_2(X1,X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qbr3xm8m/input.p',i_0_1) ).

cnf(i_0_6,negated_conjecture,
    ( big_f(X1,esk1_2(X1,X2))
    | ~ big_f(X1,X2)
    | ~ big_g(X2,esk1_2(X1,X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qbr3xm8m/input.p',i_0_6) ).

cnf(i_0_2,negated_conjecture,
    ( ~ big_g(X1,X2)
    | ~ big_g(esk1_2(X1,X2),esk1_2(X1,X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qbr3xm8m/input.p',i_0_2) ).

cnf(i_0_5,negated_conjecture,
    ( big_g(esk1_2(X1,X2),esk1_2(X1,X2))
    | ~ big_f(X1,X2)
    | ~ big_f(esk1_2(X1,X2),esk1_2(X1,X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qbr3xm8m/input.p',i_0_5) ).

cnf(i_0_7,negated_conjecture,
    ( big_g(X1,esk1_2(X2,X1))
    | ~ big_f(X2,X1)
    | ~ big_f(X2,esk1_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qbr3xm8m/input.p',i_0_7) ).

cnf(c_0_14,negated_conjecture,
    ( big_f(X1,X2)
    | ~ big_g(esk1_2(X1,X2),esk1_2(X1,X2)) ),
    i_0_3 ).

cnf(c_0_15,negated_conjecture,
    ( big_g(X1,X2)
    | big_g(esk1_2(X1,X2),esk1_2(X1,X2)) ),
    i_0_1 ).

cnf(c_0_16,negated_conjecture,
    ( big_f(X1,esk1_2(X1,X2))
    | ~ big_f(X1,X2)
    | ~ big_g(X2,esk1_2(X1,X2)) ),
    i_0_6 ).

cnf(c_0_17,negated_conjecture,
    ( big_g(X1,X2)
    | big_f(X1,X2) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_18,negated_conjecture,
    ( ~ big_g(X1,X2)
    | ~ big_g(esk1_2(X1,X2),esk1_2(X1,X2)) ),
    i_0_2 ).

cnf(c_0_19,negated_conjecture,
    ( big_g(esk1_2(X1,X2),esk1_2(X1,X2))
    | ~ big_f(X1,X2)
    | ~ big_f(esk1_2(X1,X2),esk1_2(X1,X2)) ),
    i_0_5 ).

cnf(c_0_20,negated_conjecture,
    ( big_f(X1,esk1_2(X2,X1))
    | big_f(X2,esk1_2(X2,X1))
    | ~ big_f(X2,X1) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_21,negated_conjecture,
    ( big_f(esk1_2(X1,X2),esk1_2(X1,X2))
    | ~ big_g(X1,X2) ),
    inference(spm,[status(thm)],[c_0_18,c_0_17]) ).

cnf(c_0_22,negated_conjecture,
    ( ~ big_g(X1,X2)
    | ~ big_f(esk1_2(X1,X2),esk1_2(X1,X2))
    | ~ big_f(X1,X2) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_23,negated_conjecture,
    ( big_g(X1,esk1_2(X2,X1))
    | ~ big_f(X2,X1)
    | ~ big_f(X2,esk1_2(X2,X1)) ),
    i_0_7 ).

cnf(c_0_24,negated_conjecture,
    ( big_f(esk1_2(X1,X2),esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)))
    | ~ big_g(X1,X2) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_25,negated_conjecture,
    ( ~ big_g(X1,X2)
    | ~ big_f(X1,X2) ),
    inference(spm,[status(thm)],[c_0_22,c_0_21]) ).

cnf(c_0_26,negated_conjecture,
    ( big_g(esk1_2(X1,X2),esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)))
    | ~ big_g(X1,X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_21]) ).

cnf(c_0_27,negated_conjecture,
    ~ big_g(X1,X2),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_24]) ).

cnf(c_0_28,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_15,c_0_27]),c_0_27]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : SYN334+1 : TPTP v8.1.0. Released v2.0.0.
% 0.08/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n009.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jul 11 20:18:53 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 8.00/2.43  # ENIGMATIC: Solved by autoschedule:
% 8.00/2.43  # No SInE strategy applied
% 8.00/2.43  # Trying AutoSched0 for 150 seconds
% 8.00/2.43  # AutoSched0-Mode selected heuristic G_E___041_C18_F1_PI_AE_Q4_CS_SP_S0Y
% 8.00/2.43  # and selection function SelectMaxLComplexAvoidPosPred.
% 8.00/2.43  #
% 8.00/2.43  # Preprocessing time       : 0.023 s
% 8.00/2.43  
% 8.00/2.43  # Proof found!
% 8.00/2.43  # SZS status Theorem
% 8.00/2.43  # SZS output start CNFRefutation
% See solution above
% 8.00/2.43  # Training examples: 0 positive, 0 negative
% 8.00/2.43  
% 8.00/2.43  # -------------------------------------------------
% 8.00/2.43  # User time                : 0.024 s
% 8.00/2.43  # System time              : 0.006 s
% 8.00/2.43  # Total time               : 0.030 s
% 8.00/2.43  # Maximum resident set size: 7120 pages
% 8.00/2.43  
%------------------------------------------------------------------------------