TSTP Solution File: SEU126+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU126+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n016.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 08:38:38 EDT 2022

% Result   : Theorem 8.07s 2.29s
% Output   : CNFRefutation 8.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   18 (  12 unt;   0 nHn;  12 RR)
%            Number of literals    :   28 (   9 equ;  13 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   24 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_4,plain,
    ( X1 = X2
    | ~ subset(X2,X1)
    | ~ subset(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-imlyua05/lgb.p',i_0_4) ).

cnf(i_0_51,lemma,
    subset(X1,set_union2(X1,X2)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-imlyua05/lgb.p',i_0_51) ).

cnf(i_0_38,negated_conjecture,
    set_union2(esk7_0,esk8_0) != esk8_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-imlyua05/lgb.p',i_0_38) ).

cnf(i_0_2,plain,
    set_union2(X1,X2) = set_union2(X2,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-imlyua05/lgb.p',i_0_2) ).

cnf(i_0_53,lemma,
    ( subset(set_union2(X1,X2),X3)
    | ~ subset(X2,X3)
    | ~ subset(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-imlyua05/lgb.p',i_0_53) ).

cnf(i_0_36,plain,
    subset(X1,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-imlyua05/lgb.p',i_0_36) ).

cnf(i_0_39,negated_conjecture,
    subset(esk7_0,esk8_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-imlyua05/lgb.p',i_0_39) ).

cnf(c_0_61,plain,
    ( X1 = X2
    | ~ subset(X2,X1)
    | ~ subset(X1,X2) ),
    i_0_4 ).

cnf(c_0_62,lemma,
    subset(X1,set_union2(X1,X2)),
    i_0_51 ).

cnf(c_0_63,negated_conjecture,
    set_union2(esk7_0,esk8_0) != esk8_0,
    i_0_38 ).

cnf(c_0_64,plain,
    set_union2(X1,X2) = set_union2(X2,X1),
    i_0_2 ).

cnf(c_0_65,lemma,
    ( set_union2(X1,X2) = X1
    | ~ subset(set_union2(X1,X2),X1) ),
    inference(spm,[status(thm)],[c_0_61,c_0_62]) ).

cnf(c_0_66,lemma,
    ( subset(set_union2(X1,X2),X3)
    | ~ subset(X2,X3)
    | ~ subset(X1,X3) ),
    i_0_53 ).

cnf(c_0_67,plain,
    subset(X1,X1),
    i_0_36 ).

cnf(c_0_68,negated_conjecture,
    set_union2(esk8_0,esk7_0) != esk8_0,
    inference(rw,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_69,lemma,
    ( set_union2(X1,X2) = X1
    | ~ subset(X2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67])]) ).

cnf(c_0_70,negated_conjecture,
    subset(esk7_0,esk8_0),
    i_0_39 ).

cnf(c_0_71,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SEU126+2 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n016.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 Jun 20 10:49:56 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 8.07/2.29  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.07/2.29  # No SInE strategy applied
% 8.07/2.29  # Trying AutoSched0 for 150 seconds
% 8.07/2.29  # AutoSched0-Mode selected heuristic G_E___107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y
% 8.07/2.29  # and selection function SelectMaxLComplexAvoidPosPred.
% 8.07/2.29  #
% 8.07/2.29  # Preprocessing time       : 0.023 s
% 8.07/2.29  # Presaturation interreduction done
% 8.07/2.29  
% 8.07/2.29  # Proof found!
% 8.07/2.29  # SZS status Theorem
% 8.07/2.29  # SZS output start CNFRefutation
% See solution above
% 8.07/2.29  # Training examples: 0 positive, 0 negative
% 8.07/2.29  
% 8.07/2.29  # -------------------------------------------------
% 8.07/2.29  # User time                : 0.033 s
% 8.07/2.29  # System time              : 0.003 s
% 8.07/2.29  # Total time               : 0.035 s
% 8.07/2.29  # Maximum resident set size: 7124 pages
% 8.07/2.29  
%------------------------------------------------------------------------------