TSTP Solution File: SYN349+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SYN349+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n006.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 04:51:33 EDT 2022

% Result   : Theorem 7.46s 2.37s
% Output   : CNFRefutation 7.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   17 (   4 unt;   7 nHn;  12 RR)
%            Number of literals    :   46 (   0 equ;  21 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   0 con; 1-2 aty)
%            Number of variables   :   28 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_3,negated_conjecture,
    ( big_f(X1,esk2_2(X2,X1))
    | big_f(X2,esk2_2(X2,X1))
    | big_f(esk2_2(X2,X1),X1)
    | big_f(esk2_2(X2,X1),esk1_1(X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-msoul1fr/lgb.p',i_0_3) ).

cnf(i_0_10,negated_conjecture,
    ( big_f(esk1_1(X1),esk2_2(X1,X2))
    | ~ big_f(X1,esk2_2(X1,X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-msoul1fr/lgb.p',i_0_10) ).

cnf(i_0_5,negated_conjecture,
    ( big_f(X1,esk2_2(X2,X1))
    | big_f(X2,esk2_2(X2,X1))
    | ~ big_f(esk2_2(X2,X1),X1)
    | ~ big_f(esk2_2(X2,X1),esk1_1(X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-msoul1fr/lgb.p',i_0_5) ).

cnf(i_0_9,negated_conjecture,
    ( big_f(X1,esk2_2(X1,X2))
    | ~ big_f(esk1_1(X1),esk2_2(X1,X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-msoul1fr/lgb.p',i_0_9) ).

cnf(i_0_8,negated_conjecture,
    ( ~ big_f(X1,esk2_2(X2,X1))
    | ~ big_f(X2,esk2_2(X2,X1))
    | ~ big_f(esk2_2(X2,X1),X1)
    | ~ big_f(esk2_2(X2,X1),esk1_1(X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-msoul1fr/lgb.p',i_0_8) ).

cnf(i_0_2,negated_conjecture,
    ( big_f(esk2_2(X1,X2),X2)
    | big_f(esk2_2(X1,X2),esk1_1(X1))
    | ~ big_f(X2,esk2_2(X1,X2))
    | ~ big_f(X1,esk2_2(X1,X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-msoul1fr/lgb.p',i_0_2) ).

cnf(c_0_17,negated_conjecture,
    ( big_f(X1,esk2_2(X2,X1))
    | big_f(X2,esk2_2(X2,X1))
    | big_f(esk2_2(X2,X1),X1)
    | big_f(esk2_2(X2,X1),esk1_1(X2)) ),
    i_0_3 ).

cnf(c_0_18,negated_conjecture,
    ( big_f(esk1_1(X1),esk2_2(X1,X2))
    | ~ big_f(X1,esk2_2(X1,X2)) ),
    i_0_10 ).

cnf(c_0_19,negated_conjecture,
    ( big_f(X1,esk2_2(X2,X1))
    | big_f(X2,esk2_2(X2,X1))
    | ~ big_f(esk2_2(X2,X1),X1)
    | ~ big_f(esk2_2(X2,X1),esk1_1(X2)) ),
    i_0_5 ).

cnf(c_0_20,negated_conjecture,
    ( big_f(esk2_2(X1,esk1_1(X1)),esk1_1(X1))
    | big_f(esk1_1(X1),esk2_2(X1,esk1_1(X1))) ),
    inference(csr,[status(thm)],[inference(ef,[status(thm)],[c_0_17]),c_0_18]) ).

cnf(c_0_21,negated_conjecture,
    ( big_f(X1,esk2_2(X1,X2))
    | ~ big_f(esk1_1(X1),esk2_2(X1,X2)) ),
    i_0_9 ).

cnf(c_0_22,negated_conjecture,
    big_f(esk1_1(X1),esk2_2(X1,esk1_1(X1))),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_20]),c_0_18]) ).

cnf(c_0_23,negated_conjecture,
    ( ~ big_f(X1,esk2_2(X2,X1))
    | ~ big_f(X2,esk2_2(X2,X1))
    | ~ big_f(esk2_2(X2,X1),X1)
    | ~ big_f(esk2_2(X2,X1),esk1_1(X2)) ),
    i_0_8 ).

cnf(c_0_24,negated_conjecture,
    big_f(X1,esk2_2(X1,esk1_1(X1))),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_25,negated_conjecture,
    ( big_f(esk2_2(X1,X2),X2)
    | big_f(esk2_2(X1,X2),esk1_1(X1))
    | ~ big_f(X2,esk2_2(X1,X2))
    | ~ big_f(X1,esk2_2(X1,X2)) ),
    i_0_2 ).

cnf(c_0_26,negated_conjecture,
    ~ big_f(esk2_2(X1,esk1_1(X1)),esk1_1(X1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_22])]) ).

cnf(c_0_27,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_22]),c_0_24])]),c_0_26]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SYN349+1 : TPTP v8.1.0. Released v2.0.0.
% 0.08/0.14  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.36  % Computer : n006.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Mon Jul 11 20:06:52 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.22/0.48  # ENIGMATIC: Selected complete mode:
% 7.46/2.37  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.46/2.37  # No SInE strategy applied
% 7.46/2.37  # Trying AutoSched0 for 150 seconds
% 7.46/2.37  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2SA
% 7.46/2.37  # and selection function SelectNewComplexAHP.
% 7.46/2.37  #
% 7.46/2.37  # Preprocessing time       : 0.013 s
% 7.46/2.37  # Presaturation interreduction done
% 7.46/2.37  
% 7.46/2.37  # Proof found!
% 7.46/2.37  # SZS status Theorem
% 7.46/2.37  # SZS output start CNFRefutation
% See solution above
% 7.46/2.37  # Training examples: 0 positive, 0 negative
% 7.46/2.37  
% 7.46/2.37  # -------------------------------------------------
% 7.46/2.37  # User time                : 0.013 s
% 7.46/2.37  # System time              : 0.007 s
% 7.46/2.37  # Total time               : 0.020 s
% 7.46/2.37  # Maximum resident set size: 7128 pages
% 7.46/2.37  
%------------------------------------------------------------------------------