TSTP Solution File: SET929+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET929+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n025.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 00:15:21 EDT 2022

% Result   : Theorem 8.31s 2.36s
% Output   : CNFRefutation 8.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   24 (   6 unt;   4 nHn;  22 RR)
%            Number of literals    :   47 (  17 equ;  23 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   33 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_10,plain,
    ( in(X1,X2)
    | ~ subset(unordered_pair(X3,X1),X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o1onhkw8/lgb.p',i_0_10) ).

cnf(i_0_8,plain,
    ( subset(X1,X2)
    | set_difference(X1,X2) != empty_set ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o1onhkw8/lgb.p',i_0_8) ).

cnf(i_0_12,negated_conjecture,
    ( set_difference(unordered_pair(esk3_0,esk4_0),esk5_0) = empty_set
    | in(esk4_0,esk5_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o1onhkw8/lgb.p',i_0_12) ).

cnf(i_0_2,plain,
    unordered_pair(X1,X2) = unordered_pair(X2,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o1onhkw8/lgb.p',i_0_2) ).

cnf(i_0_14,negated_conjecture,
    ( set_difference(unordered_pair(esk3_0,esk4_0),esk5_0) != empty_set
    | ~ in(esk3_0,esk5_0)
    | ~ in(esk4_0,esk5_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o1onhkw8/lgb.p',i_0_14) ).

cnf(i_0_13,negated_conjecture,
    ( set_difference(unordered_pair(esk3_0,esk4_0),esk5_0) = empty_set
    | in(esk3_0,esk5_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o1onhkw8/lgb.p',i_0_13) ).

cnf(i_0_7,plain,
    ( set_difference(X1,X2) = empty_set
    | ~ subset(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o1onhkw8/lgb.p',i_0_7) ).

cnf(i_0_9,plain,
    ( subset(unordered_pair(X1,X2),X3)
    | ~ in(X2,X3)
    | ~ in(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o1onhkw8/lgb.p',i_0_9) ).

cnf(c_0_23,plain,
    ( in(X1,X2)
    | ~ subset(unordered_pair(X3,X1),X2) ),
    i_0_10 ).

cnf(c_0_24,plain,
    ( subset(X1,X2)
    | set_difference(X1,X2) != empty_set ),
    i_0_8 ).

cnf(c_0_25,plain,
    ( in(X1,X2)
    | set_difference(unordered_pair(X3,X1),X2) != empty_set ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_26,negated_conjecture,
    ( set_difference(unordered_pair(esk3_0,esk4_0),esk5_0) = empty_set
    | in(esk4_0,esk5_0) ),
    i_0_12 ).

cnf(c_0_27,plain,
    unordered_pair(X1,X2) = unordered_pair(X2,X1),
    i_0_2 ).

cnf(c_0_28,negated_conjecture,
    ( set_difference(unordered_pair(esk3_0,esk4_0),esk5_0) != empty_set
    | ~ in(esk3_0,esk5_0)
    | ~ in(esk4_0,esk5_0) ),
    i_0_14 ).

cnf(c_0_29,negated_conjecture,
    in(esk4_0,esk5_0),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_30,plain,
    ( in(X1,X2)
    | set_difference(unordered_pair(X1,X3),X2) != empty_set ),
    inference(spm,[status(thm)],[c_0_25,c_0_27]) ).

cnf(c_0_31,negated_conjecture,
    ( set_difference(unordered_pair(esk3_0,esk4_0),esk5_0) = empty_set
    | in(esk3_0,esk5_0) ),
    i_0_13 ).

cnf(c_0_32,negated_conjecture,
    ( set_difference(unordered_pair(esk3_0,esk4_0),esk5_0) != empty_set
    | ~ in(esk3_0,esk5_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_29])]) ).

cnf(c_0_33,negated_conjecture,
    in(esk3_0,esk5_0),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_34,plain,
    ( set_difference(X1,X2) = empty_set
    | ~ subset(X1,X2) ),
    i_0_7 ).

cnf(c_0_35,plain,
    ( subset(unordered_pair(X1,X2),X3)
    | ~ in(X2,X3)
    | ~ in(X1,X3) ),
    i_0_9 ).

cnf(c_0_36,negated_conjecture,
    set_difference(unordered_pair(esk3_0,esk4_0),esk5_0) != empty_set,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_33])]) ).

cnf(c_0_37,plain,
    ( set_difference(unordered_pair(X1,X2),X3) = empty_set
    | ~ in(X2,X3)
    | ~ in(X1,X3) ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_38,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_29]),c_0_33])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SET929+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.35  % Computer : n025.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sat Jul  9 21:55:02 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.21/0.46  # ENIGMATIC: Selected complete mode:
% 8.31/2.36  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.31/2.36  # No SInE strategy applied
% 8.31/2.36  # Trying AutoSched0 for 150 seconds
% 8.31/2.36  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 8.31/2.36  # and selection function SelectComplexExceptUniqMaxHorn.
% 8.31/2.36  #
% 8.31/2.36  # Preprocessing time       : 0.013 s
% 8.31/2.36  # Presaturation interreduction done
% 8.31/2.36  
% 8.31/2.36  # Proof found!
% 8.31/2.36  # SZS status Theorem
% 8.31/2.36  # SZS output start CNFRefutation
% See solution above
% 8.31/2.36  # Training examples: 0 positive, 0 negative
% 8.31/2.36  
% 8.31/2.36  # -------------------------------------------------
% 8.31/2.36  # User time                : 0.015 s
% 8.31/2.36  # System time              : 0.005 s
% 8.31/2.36  # Total time               : 0.020 s
% 8.31/2.36  # Maximum resident set size: 7120 pages
% 8.31/2.36  
%------------------------------------------------------------------------------