TSTP Solution File: SET942+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET942+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n004.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 00:15:26 EDT 2022

% Result   : Theorem 7.85s 2.37s
% Output   : CNFRefutation 7.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   24 (   5 unt;   4 nHn;  21 RR)
%            Number of literals    :   59 (   7 equ;  33 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-3 aty)
%            Number of variables   :   48 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_8,plain,
    ( in(X1,X2)
    | X2 != union(X3)
    | ~ in(X4,X3)
    | ~ in(X1,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2enz4dhc/lgb.p',i_0_8) ).

cnf(i_0_4,plain,
    ( in(X1,X2)
    | ~ in(X1,X3)
    | ~ subset(X3,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2enz4dhc/lgb.p',i_0_4) ).

cnf(i_0_15,negated_conjecture,
    subset(esk7_0,esk8_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2enz4dhc/lgb.p',i_0_15) ).

cnf(i_0_9,plain,
    ( in(esk2_3(X1,X2,X3),X1)
    | X2 != union(X1)
    | ~ in(X3,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2enz4dhc/lgb.p',i_0_9) ).

cnf(i_0_3,plain,
    ( subset(X1,X2)
    | in(esk1_2(X1,X2),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2enz4dhc/lgb.p',i_0_3) ).

cnf(i_0_10,plain,
    ( in(X1,esk2_3(X2,X3,X1))
    | X3 != union(X2)
    | ~ in(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2enz4dhc/lgb.p',i_0_10) ).

cnf(i_0_2,plain,
    ( subset(X1,X2)
    | ~ in(esk1_2(X1,X2),X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2enz4dhc/lgb.p',i_0_2) ).

cnf(i_0_14,negated_conjecture,
    ~ subset(union(esk7_0),union(esk8_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2enz4dhc/lgb.p',i_0_14) ).

cnf(c_0_24,plain,
    ( in(X1,X2)
    | X2 != union(X3)
    | ~ in(X4,X3)
    | ~ in(X1,X4) ),
    i_0_8 ).

cnf(c_0_25,plain,
    ( in(X1,X2)
    | ~ in(X1,X3)
    | ~ subset(X3,X2) ),
    i_0_4 ).

cnf(c_0_26,negated_conjecture,
    subset(esk7_0,esk8_0),
    i_0_15 ).

cnf(c_0_27,plain,
    ( in(X1,union(X2))
    | ~ in(X3,X2)
    | ~ in(X1,X3) ),
    inference(er,[status(thm)],[c_0_24]) ).

cnf(c_0_28,negated_conjecture,
    ( in(X1,esk8_0)
    | ~ in(X1,esk7_0) ),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_29,negated_conjecture,
    ( in(X1,union(esk8_0))
    | ~ in(X2,esk7_0)
    | ~ in(X1,X2) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_30,plain,
    ( in(esk2_3(X1,X2,X3),X1)
    | X2 != union(X1)
    | ~ in(X3,X2) ),
    i_0_9 ).

cnf(c_0_31,plain,
    ( in(X1,union(esk8_0))
    | X2 != union(esk7_0)
    | ~ in(X1,esk2_3(esk7_0,X2,X3))
    | ~ in(X3,X2) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_32,plain,
    ( in(X1,union(esk8_0))
    | ~ in(X1,esk2_3(esk7_0,union(esk7_0),X2))
    | ~ in(X2,union(esk7_0)) ),
    inference(er,[status(thm)],[c_0_31]) ).

cnf(c_0_33,plain,
    ( subset(X1,X2)
    | in(esk1_2(X1,X2),X1) ),
    i_0_3 ).

cnf(c_0_34,plain,
    ( in(X1,union(esk8_0))
    | subset(union(esk7_0),X2)
    | ~ in(X1,esk2_3(esk7_0,union(esk7_0),esk1_2(union(esk7_0),X2))) ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_35,plain,
    ( in(X1,esk2_3(X2,X3,X1))
    | X3 != union(X2)
    | ~ in(X1,X3) ),
    i_0_10 ).

cnf(c_0_36,plain,
    ( subset(X1,X2)
    | ~ in(esk1_2(X1,X2),X2) ),
    i_0_2 ).

cnf(c_0_37,plain,
    ( in(esk1_2(union(esk7_0),X1),union(esk8_0))
    | subset(union(esk7_0),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_33]) ).

cnf(c_0_38,negated_conjecture,
    ~ subset(union(esk7_0),union(esk8_0)),
    i_0_14 ).

cnf(c_0_39,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SET942+1 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.11  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.32  % Computer : n004.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Sun Jul 10 20:15:24 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 0.17/0.43  # ENIGMATIC: Selected complete mode:
% 7.85/2.37  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.85/2.37  # No SInE strategy applied
% 7.85/2.37  # Trying AutoSched0 for 150 seconds
% 7.85/2.37  # AutoSched0-Mode selected heuristic G_E___107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S070I
% 7.85/2.37  # and selection function SelectVGNonCR.
% 7.85/2.37  #
% 7.85/2.37  # Preprocessing time       : 0.012 s
% 7.85/2.37  # Presaturation interreduction done
% 7.85/2.37  
% 7.85/2.37  # Proof found!
% 7.85/2.37  # SZS status Theorem
% 7.85/2.37  # SZS output start CNFRefutation
% See solution above
% 7.85/2.37  # Training examples: 0 positive, 0 negative
% 7.85/2.37  
% 7.85/2.37  # -------------------------------------------------
% 7.85/2.37  # User time                : 0.015 s
% 7.85/2.37  # System time              : 0.002 s
% 7.85/2.37  # Total time               : 0.017 s
% 7.85/2.37  # Maximum resident set size: 7120 pages
% 7.85/2.37  
%------------------------------------------------------------------------------