TSTP Solution File: SEU132+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU132+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n029.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 08:38:41 EDT 2022

% Result   : Theorem 7.66s 2.38s
% Output   : CNFRefutation 7.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   30 (   7 unt;   9 nHn;  22 RR)
%            Number of literals    :   65 (   6 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   :   66 (   8 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_4,plain,
    ( in(X1,X2)
    | ~ in(X1,X3)
    | ~ subset(X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e2n0vdc9/lgb.p',i_0_4) ).

cnf(i_0_18,negated_conjecture,
    subset(esk5_0,esk6_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e2n0vdc9/lgb.p',i_0_18) ).

cnf(i_0_10,plain,
    ( in(X1,X2)
    | X3 != set_difference(X2,X4)
    | ~ in(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e2n0vdc9/lgb.p',i_0_10) ).

cnf(i_0_2,plain,
    ( subset(X1,X2)
    | ~ in(esk1_2(X1,X2),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e2n0vdc9/lgb.p',i_0_2) ).

cnf(i_0_3,plain,
    ( subset(X1,X2)
    | in(esk1_2(X1,X2),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e2n0vdc9/lgb.p',i_0_3) ).

cnf(i_0_8,plain,
    ( in(X1,X2)
    | in(X1,X3)
    | X2 != set_difference(X4,X3)
    | ~ in(X1,X4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e2n0vdc9/lgb.p',i_0_8) ).

cnf(i_0_9,plain,
    ( X1 != set_difference(X2,X3)
    | ~ in(X4,X1)
    | ~ in(X4,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e2n0vdc9/lgb.p',i_0_9) ).

cnf(i_0_17,negated_conjecture,
    ~ subset(set_difference(esk5_0,esk7_0),set_difference(esk6_0,esk7_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e2n0vdc9/lgb.p',i_0_17) ).

cnf(c_0_27,plain,
    ( in(X1,X2)
    | ~ in(X1,X3)
    | ~ subset(X3,X2) ),
    i_0_4 ).

cnf(c_0_28,negated_conjecture,
    subset(esk5_0,esk6_0),
    i_0_18 ).

cnf(c_0_29,plain,
    ( in(X1,X2)
    | X3 != set_difference(X2,X4)
    | ~ in(X1,X3) ),
    i_0_10 ).

cnf(c_0_30,plain,
    ( subset(X1,X2)
    | ~ in(esk1_2(X1,X2),X2) ),
    i_0_2 ).

cnf(c_0_31,negated_conjecture,
    ( in(X1,esk6_0)
    | ~ in(X1,esk5_0) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_32,plain,
    ( in(X1,X2)
    | ~ in(X1,set_difference(X2,X3)) ),
    inference(er,[status(thm)],[c_0_29]) ).

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

cnf(c_0_34,plain,
    ( subset(X1,esk6_0)
    | ~ in(esk1_2(X1,esk6_0),esk5_0) ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_35,plain,
    ( in(esk1_2(set_difference(X1,X2),X3),X1)
    | subset(set_difference(X1,X2),X3) ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_36,plain,
    ( in(X1,X2)
    | in(X1,X3)
    | X2 != set_difference(X4,X3)
    | ~ in(X1,X4) ),
    i_0_8 ).

cnf(c_0_37,plain,
    subset(set_difference(esk5_0,X1),esk6_0),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_38,plain,
    ( X1 != set_difference(X2,X3)
    | ~ in(X4,X1)
    | ~ in(X4,X3) ),
    i_0_9 ).

cnf(c_0_39,plain,
    ( in(X1,set_difference(X2,X3))
    | in(X1,X3)
    | ~ in(X1,X2) ),
    inference(er,[status(thm)],[c_0_36]) ).

cnf(c_0_40,plain,
    ( in(X1,esk6_0)
    | ~ in(X1,set_difference(esk5_0,X2)) ),
    inference(spm,[status(thm)],[c_0_27,c_0_37]) ).

cnf(c_0_41,plain,
    ( ~ in(X1,set_difference(X2,X3))
    | ~ in(X1,X3) ),
    inference(er,[status(thm)],[c_0_38]) ).

cnf(c_0_42,plain,
    ( in(esk1_2(X1,set_difference(X2,X3)),X3)
    | subset(X1,set_difference(X2,X3))
    | ~ in(esk1_2(X1,set_difference(X2,X3)),X2) ),
    inference(spm,[status(thm)],[c_0_30,c_0_39]) ).

cnf(c_0_43,plain,
    ( in(esk1_2(set_difference(esk5_0,X1),X2),esk6_0)
    | subset(set_difference(esk5_0,X1),X2) ),
    inference(spm,[status(thm)],[c_0_40,c_0_33]) ).

cnf(c_0_44,plain,
    ( subset(set_difference(X1,X2),X3)
    | ~ in(esk1_2(set_difference(X1,X2),X3),X2) ),
    inference(spm,[status(thm)],[c_0_41,c_0_33]) ).

cnf(c_0_45,plain,
    ( in(esk1_2(set_difference(esk5_0,X1),set_difference(esk6_0,X2)),X2)
    | subset(set_difference(esk5_0,X1),set_difference(esk6_0,X2)) ),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_46,negated_conjecture,
    ~ subset(set_difference(esk5_0,esk7_0),set_difference(esk6_0,esk7_0)),
    i_0_17 ).

cnf(c_0_47,plain,
    subset(set_difference(esk5_0,X1),set_difference(esk6_0,X1)),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_48,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_47])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU132+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n029.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jun 18 23:04:01 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 7.66/2.38  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.66/2.38  # No SInE strategy applied
% 7.66/2.38  # Trying AutoSched0 for 150 seconds
% 7.66/2.38  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S0Y_ni
% 7.66/2.38  # and selection function SelectMaxLComplexAvoidPosPred.
% 7.66/2.38  #
% 7.66/2.38  # Preprocessing time       : 0.024 s
% 7.66/2.38  # Presaturation interreduction done
% 7.66/2.38  
% 7.66/2.38  # Proof found!
% 7.66/2.38  # SZS status Theorem
% 7.66/2.38  # SZS output start CNFRefutation
% See solution above
% 7.66/2.38  # Training examples: 0 positive, 0 negative
% 7.66/2.38  
% 7.66/2.38  # -------------------------------------------------
% 7.66/2.38  # User time                : 0.052 s
% 7.66/2.38  # System time              : 0.007 s
% 7.66/2.38  # Total time               : 0.059 s
% 7.66/2.38  # Maximum resident set size: 7128 pages
% 7.66/2.38  
%------------------------------------------------------------------------------