TSTP Solution File: SET047+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET047+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n012.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 : Tue Jul 19 00:08:40 EDT 2022

% Result   : Theorem 8.74s 2.57s
% Output   : CNFRefutation 8.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   23 (   4 unt;   7 nHn;  19 RR)
%            Number of literals    :   53 (   0 equ;  22 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   25 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_4,plain,
    ( element(X1,X2)
    | ~ set_equal(X3,X2)
    | ~ element(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uvo51sov/lgb.p',i_0_4) ).

cnf(i_0_5,negated_conjecture,
    ( set_equal(esk2_0,esk3_0)
    | set_equal(esk3_0,esk2_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uvo51sov/lgb.p',i_0_5) ).

cnf(i_0_3,plain,
    ( element(X1,X2)
    | ~ set_equal(X2,X3)
    | ~ element(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uvo51sov/lgb.p',i_0_3) ).

cnf(i_0_1,plain,
    ( set_equal(X1,X2)
    | element(esk1_2(X1,X2),X2)
    | element(esk1_2(X1,X2),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uvo51sov/lgb.p',i_0_1) ).

cnf(i_0_2,plain,
    ( set_equal(X1,X2)
    | ~ element(esk1_2(X1,X2),X2)
    | ~ element(esk1_2(X1,X2),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uvo51sov/lgb.p',i_0_2) ).

cnf(i_0_6,negated_conjecture,
    ( ~ set_equal(esk2_0,esk3_0)
    | ~ set_equal(esk3_0,esk2_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uvo51sov/lgb.p',i_0_6) ).

cnf(c_0_13,plain,
    ( element(X1,X2)
    | ~ set_equal(X3,X2)
    | ~ element(X1,X3) ),
    i_0_4 ).

cnf(c_0_14,negated_conjecture,
    ( set_equal(esk2_0,esk3_0)
    | set_equal(esk3_0,esk2_0) ),
    i_0_5 ).

cnf(c_0_15,plain,
    ( element(X1,X2)
    | ~ set_equal(X2,X3)
    | ~ element(X1,X3) ),
    i_0_3 ).

cnf(c_0_16,negated_conjecture,
    ( element(X1,esk3_0)
    | ~ element(X1,esk2_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).

cnf(c_0_17,plain,
    ( set_equal(X1,X2)
    | element(esk1_2(X1,X2),X2)
    | element(esk1_2(X1,X2),X1) ),
    i_0_1 ).

cnf(c_0_18,plain,
    ( element(esk1_2(esk2_0,X1),esk3_0)
    | element(esk1_2(esk2_0,X1),X1)
    | set_equal(esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_19,plain,
    ( set_equal(X1,X2)
    | ~ element(esk1_2(X1,X2),X2)
    | ~ element(esk1_2(X1,X2),X1) ),
    i_0_2 ).

cnf(c_0_20,plain,
    ( element(esk1_2(esk2_0,esk3_0),esk3_0)
    | set_equal(esk2_0,esk3_0) ),
    inference(ef,[status(thm)],[c_0_18]) ).

cnf(c_0_21,plain,
    ( set_equal(esk2_0,esk3_0)
    | ~ element(esk1_2(esk2_0,esk3_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_22,negated_conjecture,
    ( element(X1,esk2_0)
    | ~ element(X1,esk3_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_14]),c_0_13]) ).

cnf(c_0_23,negated_conjecture,
    ( ~ set_equal(esk2_0,esk3_0)
    | ~ set_equal(esk3_0,esk2_0) ),
    i_0_6 ).

cnf(c_0_24,negated_conjecture,
    set_equal(esk2_0,esk3_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_20]) ).

cnf(c_0_25,plain,
    ( element(esk1_2(X1,esk2_0),esk3_0)
    | element(esk1_2(X1,esk2_0),X1)
    | set_equal(X1,esk2_0) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_26,negated_conjecture,
    ~ set_equal(esk3_0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_24])]) ).

cnf(c_0_27,plain,
    ( set_equal(X1,esk2_0)
    | ~ element(esk1_2(X1,esk2_0),esk3_0)
    | ~ element(esk1_2(X1,esk2_0),X1) ),
    inference(spm,[status(thm)],[c_0_19,c_0_22]) ).

cnf(c_0_28,plain,
    element(esk1_2(esk3_0,esk2_0),esk3_0),
    inference(sr,[status(thm)],[inference(ef,[status(thm)],[c_0_25]),c_0_26]) ).

cnf(c_0_29,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_28])]),c_0_26]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET047+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.34  % Computer : n012.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sun Jul 10 18:04:45 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.45  # ENIGMATIC: Selected complete mode:
% 8.74/2.57  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.74/2.57  # No SInE strategy applied
% 8.74/2.57  # Trying AutoSched0 for 150 seconds
% 8.74/2.57  # AutoSched0-Mode selected heuristic G_E___041_C18_F1_PI_AE_Q4_CS_SP_S0Y
% 8.74/2.57  # and selection function SelectMaxLComplexAvoidPosPred.
% 8.74/2.57  #
% 8.74/2.57  # Preprocessing time       : 0.022 s
% 8.74/2.57  
% 8.74/2.57  # Proof found!
% 8.74/2.57  # SZS status Theorem
% 8.74/2.57  # SZS output start CNFRefutation
% See solution above
% 8.74/2.57  # Training examples: 0 positive, 0 negative
% 8.74/2.57  
% 8.74/2.57  # -------------------------------------------------
% 8.74/2.57  # User time                : 0.020 s
% 8.74/2.57  # System time              : 0.009 s
% 8.74/2.57  # Total time               : 0.028 s
% 8.74/2.57  # Maximum resident set size: 7124 pages
% 8.74/2.57  
%------------------------------------------------------------------------------