TSTP Solution File: SEU125+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU125+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n013.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 08:38:37 EDT 2022

% Result   : Theorem 8.36s 2.47s
% Output   : CNFRefutation 8.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   22 (   9 unt;   9 nHn;  20 RR)
%            Number of literals    :   44 (   2 equ;  15 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   27 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_8,plain,
    ( in(X1,X2)
    | in(X1,X3)
    | X4 != set_union2(X3,X2)
    | ~ in(X1,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t5qpxsxy/lgb.p',i_0_8) ).

cnf(i_0_25,negated_conjecture,
    ~ subset(set_union2(esk5_0,esk7_0),esk6_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t5qpxsxy/lgb.p',i_0_25) ).

cnf(i_0_10,plain,
    ( subset(X1,X2)
    | in(esk2_2(X1,X2),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t5qpxsxy/lgb.p',i_0_10) ).

cnf(i_0_11,plain,
    ( in(X1,X2)
    | ~ in(X1,X3)
    | ~ subset(X3,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t5qpxsxy/lgb.p',i_0_11) ).

cnf(i_0_26,negated_conjecture,
    subset(esk7_0,esk6_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t5qpxsxy/lgb.p',i_0_26) ).

cnf(i_0_27,negated_conjecture,
    subset(esk5_0,esk6_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t5qpxsxy/lgb.p',i_0_27) ).

cnf(i_0_9,plain,
    ( subset(X1,X2)
    | ~ in(esk2_2(X1,X2),X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t5qpxsxy/lgb.p',i_0_9) ).

cnf(c_0_35,plain,
    ( in(X1,X2)
    | in(X1,X3)
    | X4 != set_union2(X3,X2)
    | ~ in(X1,X4) ),
    i_0_8 ).

cnf(c_0_36,negated_conjecture,
    ~ subset(set_union2(esk5_0,esk7_0),esk6_0),
    i_0_25 ).

cnf(c_0_37,plain,
    ( subset(X1,X2)
    | in(esk2_2(X1,X2),X1) ),
    i_0_10 ).

cnf(c_0_38,plain,
    ( in(X1,X2)
    | in(X1,X3)
    | ~ in(X1,set_union2(X2,X3)) ),
    inference(er,[status(thm)],[c_0_35]) ).

cnf(c_0_39,negated_conjecture,
    in(esk2_2(set_union2(esk5_0,esk7_0),esk6_0),set_union2(esk5_0,esk7_0)),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_40,plain,
    ( in(X1,X2)
    | ~ in(X1,X3)
    | ~ subset(X3,X2) ),
    i_0_11 ).

cnf(c_0_41,plain,
    ( in(esk2_2(set_union2(esk5_0,esk7_0),esk6_0),esk5_0)
    | in(esk2_2(set_union2(esk5_0,esk7_0),esk6_0),esk7_0) ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_42,plain,
    ( in(esk2_2(set_union2(esk5_0,esk7_0),esk6_0),esk5_0)
    | in(esk2_2(set_union2(esk5_0,esk7_0),esk6_0),X1)
    | ~ subset(esk7_0,X1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_43,negated_conjecture,
    subset(esk7_0,esk6_0),
    i_0_26 ).

cnf(c_0_44,negated_conjecture,
    ( in(esk2_2(set_union2(esk5_0,esk7_0),esk6_0),esk6_0)
    | in(esk2_2(set_union2(esk5_0,esk7_0),esk6_0),esk5_0) ),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_45,plain,
    ( in(esk2_2(set_union2(esk5_0,esk7_0),esk6_0),esk6_0)
    | in(esk2_2(set_union2(esk5_0,esk7_0),esk6_0),X1)
    | ~ subset(esk5_0,X1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_44]) ).

cnf(c_0_46,negated_conjecture,
    subset(esk5_0,esk6_0),
    i_0_27 ).

cnf(c_0_47,plain,
    ( subset(X1,X2)
    | ~ in(esk2_2(X1,X2),X2) ),
    i_0_9 ).

cnf(c_0_48,negated_conjecture,
    in(esk2_2(set_union2(esk5_0,esk7_0),esk6_0),esk6_0),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_49,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_36]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SEU125+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n013.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
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sun Jun 19 19:19:01 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.19/0.46  # ENIGMATIC: Selected complete mode:
% 8.36/2.47  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.36/2.47  # No SInE strategy applied
% 8.36/2.47  # Trying AutoSched0 for 150 seconds
% 8.36/2.47  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S03EI
% 8.36/2.47  # and selection function SelectLComplex.
% 8.36/2.47  #
% 8.36/2.47  # Preprocessing time       : 0.023 s
% 8.36/2.47  # Presaturation interreduction done
% 8.36/2.47  
% 8.36/2.47  # Proof found!
% 8.36/2.47  # SZS status Theorem
% 8.36/2.47  # SZS output start CNFRefutation
% See solution above
% 8.36/2.47  # Training examples: 0 positive, 0 negative
% 8.36/2.47  
% 8.36/2.47  # -------------------------------------------------
% 8.36/2.47  # User time                : 0.026 s
% 8.36/2.47  # System time              : 0.006 s
% 8.36/2.47  # Total time               : 0.032 s
% 8.36/2.47  # Maximum resident set size: 7120 pages
% 8.36/2.47  
%------------------------------------------------------------------------------