TSTP Solution File: SYN074+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SYN074+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n011.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 04:49:34 EDT 2022

% Result   : Theorem 8.00s 2.37s
% Output   : CNFRefutation 8.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   20 (   4 unt;   8 nHn;  14 RR)
%            Number of literals    :   45 (  30 equ;  19 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   29 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_4,negated_conjecture,
    ( esk3_1(X1) = X1
    | big_f(esk3_1(X1),X2)
    | X2 != esk5_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uvbu5i_5/lgb.p',i_0_4) ).

cnf(i_0_3,plain,
    ( X1 = esk1_0
    | ~ big_f(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uvbu5i_5/lgb.p',i_0_3) ).

cnf(i_0_2,plain,
    ( X1 = esk2_0
    | ~ big_f(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uvbu5i_5/lgb.p',i_0_2) ).

cnf(i_0_6,negated_conjecture,
    ( esk4_2(X1,X2) = X2
    | big_f(esk3_1(X1),esk4_2(X1,X2))
    | esk3_1(X1) != X1 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uvbu5i_5/lgb.p',i_0_6) ).

cnf(i_0_1,plain,
    ( big_f(X1,X2)
    | X2 != esk2_0
    | X1 != esk1_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uvbu5i_5/lgb.p',i_0_1) ).

cnf(i_0_7,negated_conjecture,
    ( esk3_1(X1) != X1
    | esk4_2(X1,X2) != X2
    | ~ big_f(esk3_1(X1),esk4_2(X1,X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uvbu5i_5/lgb.p',i_0_7) ).

cnf(c_0_14,negated_conjecture,
    ( esk3_1(X1) = X1
    | big_f(esk3_1(X1),X2)
    | X2 != esk5_1(X1) ),
    i_0_4 ).

cnf(c_0_15,plain,
    ( X1 = esk1_0
    | ~ big_f(X1,X2) ),
    i_0_3 ).

cnf(c_0_16,negated_conjecture,
    ( esk3_1(X1) = X1
    | big_f(esk3_1(X1),esk5_1(X1)) ),
    inference(er,[status(thm)],[c_0_14]) ).

cnf(c_0_17,plain,
    ( X1 = esk2_0
    | ~ big_f(X2,X1) ),
    i_0_2 ).

cnf(c_0_18,negated_conjecture,
    ( esk4_2(X1,X2) = X2
    | big_f(esk3_1(X1),esk4_2(X1,X2))
    | esk3_1(X1) != X1 ),
    i_0_6 ).

cnf(c_0_19,plain,
    ( esk3_1(X1) = esk1_0
    | esk3_1(X1) = X1 ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_20,plain,
    ( esk4_2(X1,X2) = esk2_0
    | esk4_2(X1,X2) = X2
    | esk3_1(X1) != X1 ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_21,plain,
    esk3_1(esk1_0) = esk1_0,
    inference(er,[status(thm)],[inference(ef,[status(thm)],[c_0_19])]) ).

cnf(c_0_22,plain,
    ( esk4_2(esk1_0,X1) = esk2_0
    | esk4_2(esk1_0,X1) = X1 ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_23,plain,
    ( big_f(X1,X2)
    | X2 != esk2_0
    | X1 != esk1_0 ),
    i_0_1 ).

cnf(c_0_24,negated_conjecture,
    ( esk3_1(X1) != X1
    | esk4_2(X1,X2) != X2
    | ~ big_f(esk3_1(X1),esk4_2(X1,X2)) ),
    i_0_7 ).

cnf(c_0_25,plain,
    esk4_2(esk1_0,esk2_0) = esk2_0,
    inference(er,[status(thm)],[inference(ef,[status(thm)],[c_0_22])]) ).

cnf(c_0_26,plain,
    big_f(esk1_0,esk2_0),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_23])]) ).

cnf(c_0_27,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_21]),c_0_21]),c_0_26])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN074+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n011.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jul 11 19:13:44 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 8.00/2.37  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.00/2.37  # No SInE strategy applied
% 8.00/2.37  # Trying AutoSched0 for 150 seconds
% 8.00/2.37  # AutoSched0-Mode selected heuristic G_____0010_evo
% 8.00/2.37  # and selection function SelectMaxLComplexAvoidPosPred.
% 8.00/2.37  #
% 8.00/2.37  # Preprocessing time       : 0.012 s
% 8.00/2.37  
% 8.00/2.37  # Proof found!
% 8.00/2.37  # SZS status Theorem
% 8.00/2.37  # SZS output start CNFRefutation
% See solution above
% 8.00/2.37  # Training examples: 0 positive, 0 negative
% 8.00/2.37  
% 8.00/2.37  # -------------------------------------------------
% 8.00/2.37  # User time                : 0.014 s
% 8.00/2.37  # System time              : 0.002 s
% 8.00/2.37  # Total time               : 0.016 s
% 8.00/2.37  # Maximum resident set size: 7128 pages
% 8.00/2.37  
%------------------------------------------------------------------------------