TSTP Solution File: SET928+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET928+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n007.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 00:15:20 EDT 2022

% Result   : Theorem 6.77s 2.91s
% Output   : CNFRefutation 6.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   24 (   5 unt;   6 nHn;  19 RR)
%            Number of literals    :   48 (  15 equ;  22 neg)
%            Maximal clause size   :    3 (   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   :   36 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_6,plain,
    ( ~ in(X1,X2)
    | ~ disjoint(unordered_pair(X1,X3),X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7rq7lpvx/lgb.p',i_0_6) ).

cnf(i_0_2,plain,
    unordered_pair(X1,X2) = unordered_pair(X2,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7rq7lpvx/lgb.p',i_0_2) ).

cnf(i_0_12,plain,
    ( set_difference(X1,X2) = X1
    | ~ disjoint(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7rq7lpvx/lgb.p',i_0_12) ).

cnf(i_0_7,plain,
    ( in(X1,X2)
    | in(X3,X2)
    | disjoint(unordered_pair(X3,X1),X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7rq7lpvx/lgb.p',i_0_7) ).

cnf(i_0_11,plain,
    ( disjoint(X1,X2)
    | set_difference(X1,X2) != X1 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7rq7lpvx/lgb.p',i_0_11) ).

cnf(i_0_10,negated_conjecture,
    ( in(esk3_0,esk5_0)
    | in(esk4_0,esk5_0)
    | set_difference(unordered_pair(esk3_0,esk4_0),esk5_0) != unordered_pair(esk3_0,esk4_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7rq7lpvx/lgb.p',i_0_10) ).

cnf(i_0_9,negated_conjecture,
    ( set_difference(unordered_pair(esk3_0,esk4_0),esk5_0) = unordered_pair(esk3_0,esk4_0)
    | ~ in(esk3_0,esk5_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7rq7lpvx/lgb.p',i_0_9) ).

cnf(i_0_8,negated_conjecture,
    ( set_difference(unordered_pair(esk3_0,esk4_0),esk5_0) = unordered_pair(esk3_0,esk4_0)
    | ~ in(esk4_0,esk5_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7rq7lpvx/lgb.p',i_0_8) ).

cnf(c_0_21,plain,
    ( ~ in(X1,X2)
    | ~ disjoint(unordered_pair(X1,X3),X2) ),
    i_0_6 ).

cnf(c_0_22,plain,
    unordered_pair(X1,X2) = unordered_pair(X2,X1),
    i_0_2 ).

cnf(c_0_23,plain,
    ( set_difference(X1,X2) = X1
    | ~ disjoint(X1,X2) ),
    i_0_12 ).

cnf(c_0_24,plain,
    ( in(X1,X2)
    | in(X3,X2)
    | disjoint(unordered_pair(X3,X1),X2) ),
    i_0_7 ).

cnf(c_0_25,plain,
    ( disjoint(X1,X2)
    | set_difference(X1,X2) != X1 ),
    i_0_11 ).

cnf(c_0_26,plain,
    ( ~ disjoint(unordered_pair(X1,X2),X3)
    | ~ in(X2,X3) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_27,negated_conjecture,
    ( in(esk3_0,esk5_0)
    | in(esk4_0,esk5_0)
    | set_difference(unordered_pair(esk3_0,esk4_0),esk5_0) != unordered_pair(esk3_0,esk4_0) ),
    i_0_10 ).

cnf(c_0_28,plain,
    ( set_difference(unordered_pair(X1,X2),X3) = unordered_pair(X1,X2)
    | in(X1,X3)
    | in(X2,X3) ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_29,plain,
    ( set_difference(unordered_pair(X1,X2),X3) != unordered_pair(X1,X2)
    | ~ in(X1,X3) ),
    inference(spm,[status(thm)],[c_0_21,c_0_25]) ).

cnf(c_0_30,negated_conjecture,
    ( set_difference(unordered_pair(esk3_0,esk4_0),esk5_0) = unordered_pair(esk3_0,esk4_0)
    | ~ in(esk3_0,esk5_0) ),
    i_0_9 ).

cnf(c_0_31,plain,
    ( set_difference(unordered_pair(X1,X2),X3) != unordered_pair(X1,X2)
    | ~ in(X2,X3) ),
    inference(spm,[status(thm)],[c_0_26,c_0_25]) ).

cnf(c_0_32,negated_conjecture,
    ( set_difference(unordered_pair(esk3_0,esk4_0),esk5_0) = unordered_pair(esk3_0,esk4_0)
    | ~ in(esk4_0,esk5_0) ),
    i_0_8 ).

cnf(c_0_33,negated_conjecture,
    ( in(esk3_0,esk5_0)
    | in(esk4_0,esk5_0) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_34,negated_conjecture,
    ~ in(esk3_0,esk5_0),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_35,negated_conjecture,
    ~ in(esk4_0,esk5_0),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_36,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_33,c_0_34]),c_0_35]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : SET928+1 : TPTP v8.1.0. Released v3.2.0.
% 0.00/0.10  % Command  : enigmatic-eprover.py %s %d 1
% 0.09/0.30  % Computer : n007.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit : 300
% 0.09/0.30  % WCLimit  : 600
% 0.09/0.30  % DateTime : Sun Jul 10 18:31:03 EDT 2022
% 0.09/0.30  % CPUTime  : 
% 0.15/0.41  # ENIGMATIC: Selected complete mode:
% 6.77/2.91  # ENIGMATIC: Solved by autoschedule-lgb:
% 6.77/2.91  # No SInE strategy applied
% 6.77/2.91  # Trying AutoSched0 for 150 seconds
% 6.77/2.91  # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S0Y
% 6.77/2.91  # and selection function SelectMaxLComplexAvoidPosPred.
% 6.77/2.91  #
% 6.77/2.91  # Preprocessing time       : 0.012 s
% 6.77/2.91  
% 6.77/2.91  # Proof found!
% 6.77/2.91  # SZS status Theorem
% 6.77/2.91  # SZS output start CNFRefutation
% See solution above
% 6.77/2.91  # Training examples: 0 positive, 0 negative
% 6.77/2.91  
% 6.77/2.91  # -------------------------------------------------
% 6.77/2.91  # User time                : 0.013 s
% 6.77/2.91  # System time              : 0.004 s
% 6.77/2.91  # Total time               : 0.017 s
% 6.77/2.91  # Maximum resident set size: 7124 pages
% 6.77/2.91  
%------------------------------------------------------------------------------