TSTP Solution File: SET159+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET159+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n011.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 00:10:01 EDT 2022

% Result   : Theorem 9.85s 2.49s
% Output   : CNFRefutation 9.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   27 (  10 unt;   7 nHn;  19 RR)
%            Number of literals    :   50 (   9 equ;  24 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   30 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_16,negated_conjecture,
    union(union(esk3_0,esk4_0),esk5_0) != union(esk3_0,union(esk4_0,esk5_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j1pi6xx0/lgb.p',i_0_16) ).

cnf(i_0_7,plain,
    union(X1,X2) = union(X2,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j1pi6xx0/lgb.p',i_0_7) ).

cnf(i_0_13,plain,
    ( X1 = X2
    | ~ member(esk2_2(X1,X2),X2)
    | ~ member(esk2_2(X1,X2),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j1pi6xx0/lgb.p',i_0_13) ).

cnf(i_0_2,plain,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j1pi6xx0/lgb.p',i_0_2) ).

cnf(i_0_12,plain,
    ( X1 = X2
    | member(esk2_2(X1,X2),X2)
    | member(esk2_2(X1,X2),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j1pi6xx0/lgb.p',i_0_12) ).

cnf(i_0_1,plain,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j1pi6xx0/lgb.p',i_0_1) ).

cnf(i_0_3,plain,
    ( member(X1,X2)
    | member(X1,X3)
    | ~ member(X1,union(X3,X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j1pi6xx0/lgb.p',i_0_3) ).

cnf(c_0_24,negated_conjecture,
    union(union(esk3_0,esk4_0),esk5_0) != union(esk3_0,union(esk4_0,esk5_0)),
    i_0_16 ).

cnf(c_0_25,plain,
    union(X1,X2) = union(X2,X1),
    i_0_7 ).

cnf(c_0_26,negated_conjecture,
    union(esk5_0,union(esk3_0,esk4_0)) != union(esk3_0,union(esk4_0,esk5_0)),
    inference(rw,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_27,plain,
    ( X1 = X2
    | ~ member(esk2_2(X1,X2),X2)
    | ~ member(esk2_2(X1,X2),X1) ),
    i_0_13 ).

cnf(c_0_28,negated_conjecture,
    ( ~ member(esk2_2(union(esk3_0,union(esk4_0,esk5_0)),union(esk5_0,union(esk3_0,esk4_0))),union(esk5_0,union(esk3_0,esk4_0)))
    | ~ member(esk2_2(union(esk3_0,union(esk4_0,esk5_0)),union(esk5_0,union(esk3_0,esk4_0))),union(esk3_0,union(esk4_0,esk5_0))) ),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27])]) ).

cnf(c_0_29,plain,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X2) ),
    i_0_2 ).

cnf(c_0_30,plain,
    ( X1 = X2
    | member(esk2_2(X1,X2),X2)
    | member(esk2_2(X1,X2),X1) ),
    i_0_12 ).

cnf(c_0_31,plain,
    ( ~ member(esk2_2(union(esk3_0,union(esk4_0,esk5_0)),union(esk5_0,union(esk3_0,esk4_0))),union(esk3_0,union(esk4_0,esk5_0)))
    | ~ member(esk2_2(union(esk3_0,union(esk4_0,esk5_0)),union(esk5_0,union(esk3_0,esk4_0))),esk5_0) ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_32,plain,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X3) ),
    i_0_1 ).

cnf(c_0_33,plain,
    ( member(X1,X2)
    | member(X1,X3)
    | ~ member(X1,union(X3,X2)) ),
    i_0_3 ).

cnf(c_0_34,negated_conjecture,
    ( member(esk2_2(union(esk3_0,union(esk4_0,esk5_0)),union(esk5_0,union(esk3_0,esk4_0))),union(esk3_0,union(esk4_0,esk5_0)))
    | member(esk2_2(union(esk3_0,union(esk4_0,esk5_0)),union(esk5_0,union(esk3_0,esk4_0))),union(esk5_0,union(esk3_0,esk4_0))) ),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_30])]) ).

cnf(c_0_35,plain,
    ~ member(esk2_2(union(esk3_0,union(esk4_0,esk5_0)),union(esk5_0,union(esk3_0,esk4_0))),esk5_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_32]) ).

cnf(c_0_36,plain,
    ( ~ member(esk2_2(union(esk3_0,union(esk4_0,esk5_0)),union(esk5_0,union(esk3_0,esk4_0))),union(esk3_0,union(esk4_0,esk5_0)))
    | ~ member(esk2_2(union(esk3_0,union(esk4_0,esk5_0)),union(esk5_0,union(esk3_0,esk4_0))),union(esk3_0,esk4_0)) ),
    inference(spm,[status(thm)],[c_0_28,c_0_32]) ).

cnf(c_0_37,plain,
    ( member(esk2_2(union(esk3_0,union(esk4_0,esk5_0)),union(esk5_0,union(esk3_0,esk4_0))),union(esk3_0,union(esk4_0,esk5_0)))
    | member(esk2_2(union(esk3_0,union(esk4_0,esk5_0)),union(esk5_0,union(esk3_0,esk4_0))),union(esk3_0,esk4_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]) ).

cnf(c_0_38,plain,
    ~ member(esk2_2(union(esk3_0,union(esk4_0,esk5_0)),union(esk5_0,union(esk3_0,esk4_0))),esk3_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_29]),c_0_29]) ).

cnf(c_0_39,plain,
    ( ~ member(esk2_2(union(esk3_0,union(esk4_0,esk5_0)),union(esk5_0,union(esk3_0,esk4_0))),union(esk3_0,esk4_0))
    | ~ member(esk2_2(union(esk3_0,union(esk4_0,esk5_0)),union(esk5_0,union(esk3_0,esk4_0))),union(esk4_0,esk5_0)) ),
    inference(spm,[status(thm)],[c_0_36,c_0_32]) ).

cnf(c_0_40,plain,
    ( member(esk2_2(union(esk3_0,union(esk4_0,esk5_0)),union(esk5_0,union(esk3_0,esk4_0))),union(esk3_0,esk4_0))
    | member(esk2_2(union(esk3_0,union(esk4_0,esk5_0)),union(esk5_0,union(esk3_0,esk4_0))),union(esk4_0,esk5_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_37]),c_0_38]) ).

cnf(c_0_41,plain,
    ~ member(esk2_2(union(esk3_0,union(esk4_0,esk5_0)),union(esk5_0,union(esk3_0,esk4_0))),esk4_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_29]),c_0_32]) ).

cnf(c_0_42,plain,
    member(esk2_2(union(esk3_0,union(esk4_0,esk5_0)),union(esk5_0,union(esk3_0,esk4_0))),union(esk3_0,esk4_0)),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_40]),c_0_41]),c_0_35]) ).

cnf(c_0_43,plain,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_42]),c_0_38]),c_0_41]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SET159+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.32  % Computer : n011.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Mon Jul 11 02:07:58 EDT 2022
% 0.12/0.32  % CPUTime  : 
% 0.17/0.43  # ENIGMATIC: Selected complete mode:
% 9.85/2.49  # ENIGMATIC: Solved by autoschedule-lgb:
% 9.85/2.49  # No SInE strategy applied
% 9.85/2.49  # Trying AutoSched0 for 150 seconds
% 9.85/2.49  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S04CA
% 9.85/2.49  # and selection function MSelectComplexExceptUniqMaxHorn.
% 9.85/2.49  #
% 9.85/2.49  # Preprocessing time       : 0.023 s
% 9.85/2.49  # Presaturation interreduction done
% 9.85/2.49  
% 9.85/2.49  # Proof found!
% 9.85/2.49  # SZS status Theorem
% 9.85/2.49  # SZS output start CNFRefutation
% See solution above
% 9.85/2.49  # Training examples: 0 positive, 0 negative
% 9.85/2.49  
% 9.85/2.49  # -------------------------------------------------
% 9.85/2.49  # User time                : 0.314 s
% 9.85/2.49  # System time              : 0.020 s
% 9.85/2.49  # Total time               : 0.335 s
% 9.85/2.49  # Maximum resident set size: 7128 pages
% 9.85/2.49  
%------------------------------------------------------------------------------