TSTP Solution File: SET688+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET688+4 : TPTP v8.1.0. Released v2.2.0.
% 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 00:13:28 EDT 2022

% Result   : Theorem 7.51s 2.43s
% Output   : CNFRefutation 7.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   25 (  11 unt;   6 nHn;  19 RR)
%            Number of literals    :   45 (   0 equ;  17 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   29 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_20,plain,
    ( member(X1,X2)
    | ~ member(X1,X3)
    | ~ subset(X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h7bm6vav/lgb.p',i_0_20) ).

cnf(i_0_19,plain,
    ( subset(X1,X2)
    | member(esk2_2(X1,X2),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h7bm6vav/lgb.p',i_0_19) ).

cnf(i_0_6,plain,
    ( subset(X1,X2)
    | ~ equal_set(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h7bm6vav/lgb.p',i_0_6) ).

cnf(i_0_24,negated_conjecture,
    equal_set(esk4_0,esk6_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h7bm6vav/lgb.p',i_0_24) ).

cnf(i_0_28,negated_conjecture,
    subset(esk4_0,esk5_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h7bm6vav/lgb.p',i_0_28) ).

cnf(i_0_25,negated_conjecture,
    ~ equal_set(esk5_0,esk6_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h7bm6vav/lgb.p',i_0_25) ).

cnf(i_0_5,plain,
    ( equal_set(X1,X2)
    | ~ subset(X2,X1)
    | ~ subset(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h7bm6vav/lgb.p',i_0_5) ).

cnf(i_0_26,negated_conjecture,
    subset(esk5_0,esk6_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h7bm6vav/lgb.p',i_0_26) ).

cnf(i_0_18,plain,
    ( subset(X1,X2)
    | ~ member(esk2_2(X1,X2),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h7bm6vav/lgb.p',i_0_18) ).

cnf(c_0_38,plain,
    ( member(X1,X2)
    | ~ member(X1,X3)
    | ~ subset(X3,X2) ),
    i_0_20 ).

cnf(c_0_39,plain,
    ( subset(X1,X2)
    | member(esk2_2(X1,X2),X1) ),
    i_0_19 ).

cnf(c_0_40,plain,
    ( subset(X1,X2)
    | ~ equal_set(X2,X1) ),
    i_0_6 ).

cnf(c_0_41,negated_conjecture,
    equal_set(esk4_0,esk6_0),
    i_0_24 ).

cnf(c_0_42,plain,
    ( member(esk2_2(X1,X2),X3)
    | subset(X1,X2)
    | ~ subset(X1,X3) ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_43,negated_conjecture,
    subset(esk6_0,esk4_0),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_44,negated_conjecture,
    ( member(esk2_2(esk6_0,X1),esk4_0)
    | subset(esk6_0,X1) ),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_45,plain,
    ( member(esk2_2(esk6_0,X1),X2)
    | subset(esk6_0,X1)
    | ~ subset(esk4_0,X2) ),
    inference(spm,[status(thm)],[c_0_38,c_0_44]) ).

cnf(c_0_46,negated_conjecture,
    subset(esk4_0,esk5_0),
    i_0_28 ).

cnf(c_0_47,negated_conjecture,
    ~ equal_set(esk5_0,esk6_0),
    i_0_25 ).

cnf(c_0_48,plain,
    ( equal_set(X1,X2)
    | ~ subset(X2,X1)
    | ~ subset(X1,X2) ),
    i_0_5 ).

cnf(c_0_49,negated_conjecture,
    subset(esk5_0,esk6_0),
    i_0_26 ).

cnf(c_0_50,plain,
    ( subset(X1,X2)
    | ~ member(esk2_2(X1,X2),X2) ),
    i_0_18 ).

cnf(c_0_51,negated_conjecture,
    ( member(esk2_2(esk6_0,X1),esk5_0)
    | subset(esk6_0,X1) ),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_52,negated_conjecture,
    ~ subset(esk6_0,esk5_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49])]) ).

cnf(c_0_53,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET688+4 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n012.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 : Sun Jul 10 21:16:00 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected SinE mode:
% 0.18/0.44  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.18/0.44  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.18/0.44  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.51/2.43  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.51/2.43  # No SInE strategy applied
% 7.51/2.43  # Trying AutoSched0 for 150 seconds
% 7.51/2.43  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 7.51/2.43  # and selection function SelectComplexExceptUniqMaxHorn.
% 7.51/2.43  #
% 7.51/2.43  # Preprocessing time       : 0.023 s
% 7.51/2.43  # Presaturation interreduction done
% 7.51/2.43  
% 7.51/2.43  # Proof found!
% 7.51/2.43  # SZS status Theorem
% 7.51/2.43  # SZS output start CNFRefutation
% See solution above
% 7.51/2.43  # Training examples: 0 positive, 0 negative
% 7.51/2.43  
% 7.51/2.43  # -------------------------------------------------
% 7.51/2.43  # User time                : 0.025 s
% 7.51/2.43  # System time              : 0.006 s
% 7.51/2.43  # Total time               : 0.031 s
% 7.51/2.43  # Maximum resident set size: 7124 pages
% 7.51/2.43  
%------------------------------------------------------------------------------