TSTP Solution File: SYN345+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SYN345+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n007.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 04:51:30 EDT 2022

% Result   : Theorem 4.61s 2.16s
% Output   : CNFRefutation 4.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   21 (   6 unt;   5 nHn;  14 RR)
%            Number of literals    :   46 (   0 equ;  24 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   30 (  16 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_6,negated_conjecture,
    ( big_f(esk1_0,esk2_0,esk2_0)
    | ~ big_f(X1,X2,esk3_2(X2,X1))
    | ~ big_f(esk1_0,esk1_0,esk2_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tn988kws/input.p',i_0_6) ).

cnf(i_0_3,negated_conjecture,
    big_f(X1,X2,esk3_2(X1,X2)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tn988kws/input.p',i_0_3) ).

cnf(i_0_1,negated_conjecture,
    ( big_f(esk1_0,esk1_0,esk2_0)
    | big_f(esk1_0,esk2_0,esk2_0)
    | ~ big_f(esk2_0,esk2_0,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tn988kws/input.p',i_0_1) ).

cnf(i_0_2,negated_conjecture,
    ( ~ big_f(esk2_0,esk2_0,X1)
    | ~ big_f(esk1_0,esk1_0,esk2_0)
    | ~ big_f(esk1_0,esk2_0,esk2_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tn988kws/input.p',i_0_2) ).

cnf(i_0_5,negated_conjecture,
    ( big_f(esk2_0,X1,X2)
    | big_f(esk1_0,esk1_0,esk2_0)
    | ~ big_f(esk1_0,esk2_0,esk2_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tn988kws/input.p',i_0_5) ).

cnf(i_0_4,negated_conjecture,
    ( big_f(esk1_0,esk1_0,esk2_0)
    | ~ big_f(esk1_0,esk2_0,esk2_0)
    | ~ big_f(X1,esk3_2(X1,X2),esk3_2(X1,X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tn988kws/input.p',i_0_4) ).

cnf(c_0_13,negated_conjecture,
    ( big_f(esk1_0,esk2_0,esk2_0)
    | ~ big_f(X1,X2,esk3_2(X2,X1))
    | ~ big_f(esk1_0,esk1_0,esk2_0) ),
    i_0_6 ).

cnf(c_0_14,negated_conjecture,
    big_f(X1,X2,esk3_2(X1,X2)),
    i_0_3 ).

cnf(c_0_15,negated_conjecture,
    ( big_f(esk1_0,esk1_0,esk2_0)
    | big_f(esk1_0,esk2_0,esk2_0)
    | ~ big_f(esk2_0,esk2_0,X1) ),
    i_0_1 ).

cnf(c_0_16,negated_conjecture,
    ( big_f(esk1_0,esk2_0,esk2_0)
    | ~ big_f(esk1_0,esk1_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_17,negated_conjecture,
    ( ~ big_f(esk2_0,esk2_0,X1)
    | ~ big_f(esk1_0,esk1_0,esk2_0)
    | ~ big_f(esk1_0,esk2_0,esk2_0) ),
    i_0_2 ).

cnf(c_0_18,negated_conjecture,
    big_f(esk1_0,esk2_0,esk2_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_14]),c_0_16]) ).

cnf(c_0_19,negated_conjecture,
    ( big_f(esk2_0,X1,X2)
    | big_f(esk1_0,esk1_0,esk2_0)
    | ~ big_f(esk1_0,esk2_0,esk2_0) ),
    i_0_5 ).

cnf(c_0_20,negated_conjecture,
    ( ~ big_f(esk1_0,esk1_0,esk2_0)
    | ~ big_f(esk2_0,esk2_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18])]) ).

cnf(c_0_21,negated_conjecture,
    ( big_f(esk1_0,esk1_0,esk2_0)
    | big_f(esk2_0,X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_18])]) ).

cnf(c_0_22,negated_conjecture,
    ( big_f(esk2_0,X1,X2)
    | ~ big_f(esk2_0,esk2_0,X3) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_23,negated_conjecture,
    ( big_f(esk1_0,esk1_0,esk2_0)
    | ~ big_f(esk1_0,esk2_0,esk2_0)
    | ~ big_f(X1,esk3_2(X1,X2),esk3_2(X1,X2)) ),
    i_0_4 ).

cnf(c_0_24,negated_conjecture,
    big_f(esk2_0,X1,X2),
    inference(spm,[status(thm)],[c_0_22,c_0_14]) ).

cnf(c_0_25,negated_conjecture,
    ( big_f(esk1_0,esk1_0,esk2_0)
    | ~ big_f(X1,esk3_2(X1,X2),esk3_2(X1,X2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_18])]) ).

cnf(c_0_26,negated_conjecture,
    ~ big_f(esk1_0,esk1_0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_24])]) ).

cnf(c_0_27,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_24]),c_0_26]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN345+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.33  % Computer : n007.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Mon Jul 11 18:24:20 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 4.61/2.16  # ENIGMATIC: Solved by autoschedule:
% 4.61/2.16  # No SInE strategy applied
% 4.61/2.16  # Trying AutoSched0 for 150 seconds
% 4.61/2.16  # AutoSched0-Mode selected heuristic G_E___041_C18_F1_PI_AE_Q4_CS_SP_S0Y
% 4.61/2.16  # and selection function SelectMaxLComplexAvoidPosPred.
% 4.61/2.16  #
% 4.61/2.16  # Preprocessing time       : 0.012 s
% 4.61/2.16  
% 4.61/2.16  # Proof found!
% 4.61/2.16  # SZS status Theorem
% 4.61/2.16  # SZS output start CNFRefutation
% See solution above
% 4.61/2.16  # Training examples: 0 positive, 0 negative
% 4.61/2.16  
% 4.61/2.16  # -------------------------------------------------
% 4.61/2.16  # User time                : 0.013 s
% 4.61/2.16  # System time              : 0.003 s
% 4.61/2.16  # Total time               : 0.015 s
% 4.61/2.16  # Maximum resident set size: 7120 pages
% 4.61/2.16  
%------------------------------------------------------------------------------