TSTP Solution File: SET148+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET148+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n015.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 00:09:56 EDT 2022

% Result   : Theorem 7.17s 2.34s
% Output   : CNFRefutation 7.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   29 (   7 unt;   3 nHn;  26 RR)
%            Number of literals    :   55 (   0 equ;  33 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :   34 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_24,negated_conjecture,
    ~ equal_set(intersection(esk4_0,esk4_0),esk4_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-peaqbxav/lgb.p',i_0_24) ).

cnf(i_0_5,plain,
    ( equal_set(X1,X2)
    | ~ subset(X2,X1)
    | ~ subset(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-peaqbxav/lgb.p',i_0_5) ).

cnf(i_0_18,plain,
    ( subset(X1,X2)
    | ~ member(esk2_2(X1,X2),X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-peaqbxav/lgb.p',i_0_18) ).

cnf(i_0_19,plain,
    ( subset(X1,X2)
    | member(esk2_2(X1,X2),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-peaqbxav/lgb.p',i_0_19) ).

cnf(i_0_8,plain,
    ( member(X1,intersection(X2,X3))
    | ~ member(X1,X3)
    | ~ member(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-peaqbxav/lgb.p',i_0_8) ).

cnf(i_0_12,plain,
    ( subset(X1,X2)
    | ~ member(X1,power_set(X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-peaqbxav/lgb.p',i_0_12) ).

cnf(i_0_9,plain,
    ( member(X1,X2)
    | ~ member(X1,intersection(X3,X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-peaqbxav/lgb.p',i_0_9) ).

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

cnf(c_0_33,negated_conjecture,
    ~ equal_set(intersection(esk4_0,esk4_0),esk4_0),
    i_0_24 ).

cnf(c_0_34,plain,
    ( equal_set(X1,X2)
    | ~ subset(X2,X1)
    | ~ subset(X1,X2) ),
    i_0_5 ).

cnf(c_0_35,negated_conjecture,
    ( ~ subset(esk4_0,intersection(esk4_0,esk4_0))
    | ~ subset(intersection(esk4_0,esk4_0),esk4_0) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_36,plain,
    ( subset(X1,X2)
    | ~ member(esk2_2(X1,X2),X2) ),
    i_0_18 ).

cnf(c_0_37,negated_conjecture,
    ( ~ member(esk2_2(intersection(esk4_0,esk4_0),esk4_0),esk4_0)
    | ~ subset(esk4_0,intersection(esk4_0,esk4_0)) ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_38,plain,
    ( subset(X1,X2)
    | member(esk2_2(X1,X2),X1) ),
    i_0_19 ).

cnf(c_0_39,plain,
    ( ~ member(esk2_2(esk4_0,intersection(esk4_0,esk4_0)),intersection(esk4_0,esk4_0))
    | ~ member(esk2_2(intersection(esk4_0,esk4_0),esk4_0),esk4_0) ),
    inference(spm,[status(thm)],[c_0_37,c_0_36]) ).

cnf(c_0_40,plain,
    ( member(X1,intersection(X2,X3))
    | ~ member(X1,X3)
    | ~ member(X1,X2) ),
    i_0_8 ).

cnf(c_0_41,plain,
    ( member(esk2_2(intersection(esk4_0,esk4_0),esk4_0),intersection(esk4_0,esk4_0))
    | ~ subset(esk4_0,intersection(esk4_0,esk4_0)) ),
    inference(spm,[status(thm)],[c_0_35,c_0_38]) ).

cnf(c_0_42,plain,
    ( ~ member(esk2_2(intersection(esk4_0,esk4_0),esk4_0),esk4_0)
    | ~ member(esk2_2(esk4_0,intersection(esk4_0,esk4_0)),esk4_0) ),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_43,plain,
    ( subset(X1,X2)
    | ~ member(X1,power_set(X2)) ),
    i_0_12 ).

cnf(c_0_44,plain,
    ( member(X1,X2)
    | ~ member(X1,intersection(X3,X2)) ),
    i_0_9 ).

cnf(c_0_45,plain,
    ( member(esk2_2(intersection(esk4_0,esk4_0),esk4_0),intersection(esk4_0,esk4_0))
    | ~ member(esk2_2(esk4_0,intersection(esk4_0,esk4_0)),intersection(esk4_0,esk4_0)) ),
    inference(spm,[status(thm)],[c_0_41,c_0_36]) ).

cnf(c_0_46,plain,
    ~ member(esk2_2(intersection(esk4_0,esk4_0),esk4_0),esk4_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_42]) ).

cnf(c_0_47,plain,
    ( member(esk2_2(intersection(esk4_0,esk4_0),esk4_0),intersection(esk4_0,esk4_0))
    | ~ member(esk4_0,power_set(intersection(esk4_0,esk4_0))) ),
    inference(spm,[status(thm)],[c_0_41,c_0_43]) ).

cnf(c_0_48,plain,
    ( member(X1,power_set(X2))
    | ~ subset(X1,X2) ),
    i_0_11 ).

cnf(c_0_49,plain,
    ~ member(esk2_2(esk4_0,intersection(esk4_0,esk4_0)),intersection(esk4_0,esk4_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]) ).

cnf(c_0_50,plain,
    ~ member(esk4_0,power_set(intersection(esk4_0,esk4_0))),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_47]),c_0_46]) ).

cnf(c_0_51,plain,
    ( member(esk2_2(X1,X2),X1)
    | member(X1,power_set(X2)) ),
    inference(spm,[status(thm)],[c_0_48,c_0_38]) ).

cnf(c_0_52,plain,
    ~ member(esk2_2(esk4_0,intersection(esk4_0,esk4_0)),esk4_0),
    inference(spm,[status(thm)],[c_0_49,c_0_40]) ).

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
% 0.03/0.11  % Problem  : SET148+4 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.33  % Computer : n015.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sun Jul 10 04:34:24 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.43  # ENIGMATIC: Selected SinE mode:
% 0.19/0.44  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.44  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.44  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.17/2.34  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.17/2.34  # No SInE strategy applied
% 7.17/2.34  # Trying AutoSched0 for 150 seconds
% 7.17/2.34  # AutoSched0-Mode selected heuristic G_E___208_C09_12_F1_SE_CS_SP_PS_S070I
% 7.17/2.34  # and selection function SelectVGNonCR.
% 7.17/2.34  #
% 7.17/2.34  # Preprocessing time       : 0.023 s
% 7.17/2.34  # Presaturation interreduction done
% 7.17/2.34  
% 7.17/2.34  # Proof found!
% 7.17/2.34  # SZS status Theorem
% 7.17/2.34  # SZS output start CNFRefutation
% See solution above
% 7.17/2.34  # Training examples: 0 positive, 0 negative
% 7.17/2.34  
% 7.17/2.34  # -------------------------------------------------
% 7.17/2.34  # User time                : 0.027 s
% 7.17/2.34  # System time              : 0.005 s
% 7.17/2.34  # Total time               : 0.032 s
% 7.17/2.34  # Maximum resident set size: 7124 pages
% 7.17/2.34  
%------------------------------------------------------------------------------