TSTP Solution File: SEU159+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU159+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n014.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 08:38:59 EDT 2022

% Result   : Theorem 7.84s 2.41s
% Output   : CNFRefutation 7.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   32 (   9 unt;  12 nHn;  28 RR)
%            Number of literals    :   70 (  19 equ;  31 neg)
%            Maximal clause size   :    4 (   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   :   47 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_11,plain,
    ( in(X1,X2)
    | ~ in(X1,X3)
    | ~ subset(X3,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xjai7al_/lgb.p',i_0_11) ).

cnf(i_0_15,negated_conjecture,
    ( in(esk3_0,esk5_0)
    | subset(unordered_pair(esk3_0,esk4_0),esk5_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xjai7al_/lgb.p',i_0_15) ).

cnf(i_0_7,plain,
    ( in(X1,X2)
    | X1 != X3
    | X2 != unordered_pair(X3,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xjai7al_/lgb.p',i_0_7) ).

cnf(i_0_14,negated_conjecture,
    ( in(esk4_0,esk5_0)
    | subset(unordered_pair(esk3_0,esk4_0),esk5_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xjai7al_/lgb.p',i_0_14) ).

cnf(i_0_6,plain,
    ( in(X1,X2)
    | X1 != X3
    | X2 != unordered_pair(X4,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xjai7al_/lgb.p',i_0_6) ).

cnf(i_0_16,negated_conjecture,
    ( ~ in(esk3_0,esk5_0)
    | ~ in(esk4_0,esk5_0)
    | ~ subset(unordered_pair(esk3_0,esk4_0),esk5_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xjai7al_/lgb.p',i_0_16) ).

cnf(i_0_8,plain,
    ( X1 = X2
    | X1 = X3
    | X4 != unordered_pair(X3,X2)
    | ~ in(X1,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xjai7al_/lgb.p',i_0_8) ).

cnf(i_0_10,plain,
    ( subset(X1,X2)
    | in(esk2_2(X1,X2),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xjai7al_/lgb.p',i_0_10) ).

cnf(i_0_9,plain,
    ( subset(X1,X2)
    | ~ in(esk2_2(X1,X2),X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xjai7al_/lgb.p',i_0_9) ).

cnf(c_0_26,plain,
    ( in(X1,X2)
    | ~ in(X1,X3)
    | ~ subset(X3,X2) ),
    i_0_11 ).

cnf(c_0_27,negated_conjecture,
    ( in(esk3_0,esk5_0)
    | subset(unordered_pair(esk3_0,esk4_0),esk5_0) ),
    i_0_15 ).

cnf(c_0_28,plain,
    ( in(X1,X2)
    | X1 != X3
    | X2 != unordered_pair(X3,X4) ),
    i_0_7 ).

cnf(c_0_29,plain,
    ( in(esk3_0,esk5_0)
    | in(X1,esk5_0)
    | ~ in(X1,unordered_pair(esk3_0,esk4_0)) ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_30,plain,
    in(X1,unordered_pair(X1,X2)),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_28])]) ).

cnf(c_0_31,negated_conjecture,
    ( in(esk4_0,esk5_0)
    | subset(unordered_pair(esk3_0,esk4_0),esk5_0) ),
    i_0_14 ).

cnf(c_0_32,plain,
    ( in(X1,X2)
    | X1 != X3
    | X2 != unordered_pair(X4,X3) ),
    i_0_6 ).

cnf(c_0_33,negated_conjecture,
    ( ~ in(esk3_0,esk5_0)
    | ~ in(esk4_0,esk5_0)
    | ~ subset(unordered_pair(esk3_0,esk4_0),esk5_0) ),
    i_0_16 ).

cnf(c_0_34,plain,
    in(esk3_0,esk5_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(ef,[status(thm)],[c_0_29]),c_0_30])]) ).

cnf(c_0_35,plain,
    ( in(esk4_0,esk5_0)
    | in(X1,esk5_0)
    | ~ in(X1,unordered_pair(esk3_0,esk4_0)) ),
    inference(spm,[status(thm)],[c_0_26,c_0_31]) ).

cnf(c_0_36,plain,
    in(X1,unordered_pair(X2,X1)),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_32])]) ).

cnf(c_0_37,negated_conjecture,
    ( ~ subset(unordered_pair(esk3_0,esk4_0),esk5_0)
    | ~ in(esk4_0,esk5_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_34])]) ).

cnf(c_0_38,plain,
    in(esk4_0,esk5_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(ef,[status(thm)],[c_0_35]),c_0_36])]) ).

cnf(c_0_39,plain,
    ( X1 = X2
    | X1 = X3
    | X4 != unordered_pair(X3,X2)
    | ~ in(X1,X4) ),
    i_0_8 ).

cnf(c_0_40,negated_conjecture,
    ~ subset(unordered_pair(esk3_0,esk4_0),esk5_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_38])]) ).

cnf(c_0_41,plain,
    ( subset(X1,X2)
    | in(esk2_2(X1,X2),X1) ),
    i_0_10 ).

cnf(c_0_42,plain,
    ( subset(X1,X2)
    | ~ in(esk2_2(X1,X2),X2) ),
    i_0_9 ).

cnf(c_0_43,plain,
    ( X1 = X2
    | X1 = X3
    | ~ in(X1,unordered_pair(X2,X3)) ),
    inference(er,[status(thm)],[c_0_39]) ).

cnf(c_0_44,plain,
    in(esk2_2(unordered_pair(esk3_0,esk4_0),esk5_0),unordered_pair(esk3_0,esk4_0)),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_45,plain,
    ~ in(esk2_2(unordered_pair(esk3_0,esk4_0),esk5_0),esk5_0),
    inference(spm,[status(thm)],[c_0_40,c_0_42]) ).

cnf(c_0_46,plain,
    ( esk2_2(unordered_pair(esk3_0,esk4_0),esk5_0) = esk3_0
    | esk2_2(unordered_pair(esk3_0,esk4_0),esk5_0) = esk4_0 ),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_47,plain,
    esk2_2(unordered_pair(esk3_0,esk4_0),esk5_0) = esk3_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_38])]) ).

cnf(c_0_48,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_47]),c_0_34])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU159+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n014.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jun 18 22:52:05 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.21/0.46  # ENIGMATIC: Selected complete mode:
% 7.84/2.41  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.84/2.41  # No SInE strategy applied
% 7.84/2.41  # Trying AutoSched0 for 150 seconds
% 7.84/2.41  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S05AI
% 7.84/2.41  # and selection function PSelectComplexExceptUniqMaxPosHorn.
% 7.84/2.41  #
% 7.84/2.41  # Preprocessing time       : 0.024 s
% 7.84/2.41  # Presaturation interreduction done
% 7.84/2.41  
% 7.84/2.41  # Proof found!
% 7.84/2.41  # SZS status Theorem
% 7.84/2.41  # SZS output start CNFRefutation
% See solution above
% 7.84/2.41  # Training examples: 0 positive, 0 negative
% 7.84/2.41  
% 7.84/2.41  # -------------------------------------------------
% 7.84/2.41  # User time                : 0.027 s
% 7.84/2.41  # System time              : 0.004 s
% 7.84/2.41  # Total time               : 0.031 s
% 7.84/2.41  # Maximum resident set size: 7124 pages
% 7.84/2.41  
%------------------------------------------------------------------------------