TSTP Solution File: SET941+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET941+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n024.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 00:15:25 EDT 2022

% Result   : Theorem 7.08s 2.33s
% Output   : CNFRefutation 7.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   22 (   3 unt;   7 nHn;  16 RR)
%            Number of literals    :   48 (   4 equ;  21 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-3 aty)
%            Number of variables   :   40 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_9,plain,
    ( in(esk2_3(X1,X2,X3),X1)
    | X2 != union(X1)
    | ~ in(X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u3rp66pz/lgb.p',i_0_9) ).

cnf(i_0_3,plain,
    ( subset(X1,X2)
    | in(esk1_2(X1,X2),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u3rp66pz/lgb.p',i_0_3) ).

cnf(i_0_15,negated_conjecture,
    ( subset(X1,esk8_0)
    | ~ in(X1,esk7_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u3rp66pz/lgb.p',i_0_15) ).

cnf(i_0_10,plain,
    ( in(X1,esk2_3(X2,X3,X1))
    | X3 != union(X2)
    | ~ in(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u3rp66pz/lgb.p',i_0_10) ).

cnf(i_0_4,plain,
    ( in(X1,X2)
    | ~ in(X1,X3)
    | ~ subset(X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u3rp66pz/lgb.p',i_0_4) ).

cnf(i_0_2,plain,
    ( subset(X1,X2)
    | ~ in(esk1_2(X1,X2),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u3rp66pz/lgb.p',i_0_2) ).

cnf(i_0_14,negated_conjecture,
    ~ subset(union(esk7_0),esk8_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u3rp66pz/lgb.p',i_0_14) ).

cnf(c_0_23,plain,
    ( in(esk2_3(X1,X2,X3),X1)
    | X2 != union(X1)
    | ~ in(X3,X2) ),
    i_0_9 ).

cnf(c_0_24,plain,
    ( in(esk2_3(X1,union(X1),X2),X1)
    | ~ in(X2,union(X1)) ),
    inference(er,[status(thm)],[c_0_23]) ).

cnf(c_0_25,plain,
    ( subset(X1,X2)
    | in(esk1_2(X1,X2),X1) ),
    i_0_3 ).

cnf(c_0_26,negated_conjecture,
    ( subset(X1,esk8_0)
    | ~ in(X1,esk7_0) ),
    i_0_15 ).

cnf(c_0_27,plain,
    ( in(esk2_3(X1,union(X1),esk1_2(union(X1),X2)),X1)
    | subset(union(X1),X2) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_28,plain,
    ( in(X1,esk2_3(X2,X3,X1))
    | X3 != union(X2)
    | ~ in(X1,X3) ),
    i_0_10 ).

cnf(c_0_29,plain,
    ( in(X1,X2)
    | ~ in(X1,X3)
    | ~ subset(X3,X2) ),
    i_0_4 ).

cnf(c_0_30,negated_conjecture,
    ( subset(esk2_3(esk7_0,union(esk7_0),esk1_2(union(esk7_0),X1)),esk8_0)
    | subset(union(esk7_0),X1) ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_31,plain,
    ( in(X1,esk2_3(X2,union(X2),X1))
    | ~ in(X1,union(X2)) ),
    inference(er,[status(thm)],[c_0_28]) ).

cnf(c_0_32,plain,
    ( in(X1,esk8_0)
    | subset(union(esk7_0),X2)
    | ~ in(X1,esk2_3(esk7_0,union(esk7_0),esk1_2(union(esk7_0),X2))) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_33,plain,
    ( in(esk1_2(union(X1),X2),esk2_3(X1,union(X1),esk1_2(union(X1),X2)))
    | subset(union(X1),X2) ),
    inference(spm,[status(thm)],[c_0_31,c_0_25]) ).

cnf(c_0_34,plain,
    ( subset(X1,X2)
    | ~ in(esk1_2(X1,X2),X2) ),
    i_0_2 ).

cnf(c_0_35,plain,
    ( in(esk1_2(union(esk7_0),X1),esk8_0)
    | subset(union(esk7_0),X1) ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_36,negated_conjecture,
    ~ subset(union(esk7_0),esk8_0),
    i_0_14 ).

cnf(c_0_37,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET941+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n024.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 Jul  9 19:14:15 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 7.08/2.33  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.08/2.33  # No SInE strategy applied
% 7.08/2.33  # Trying AutoSched0 for 150 seconds
% 7.08/2.33  # AutoSched0-Mode selected heuristic H_____047_C18_F1_PI_AE_R8_CS_SP_S2S
% 7.08/2.33  # and selection function SelectNewComplexAHP.
% 7.08/2.33  #
% 7.08/2.33  # Preprocessing time       : 0.023 s
% 7.08/2.33  
% 7.08/2.33  # Proof found!
% 7.08/2.33  # SZS status Theorem
% 7.08/2.33  # SZS output start CNFRefutation
% See solution above
% 7.08/2.33  # Training examples: 0 positive, 0 negative
% 7.08/2.33  
% 7.08/2.33  # -------------------------------------------------
% 7.08/2.33  # User time                : 0.029 s
% 7.08/2.33  # System time              : 0.004 s
% 7.08/2.33  # Total time               : 0.033 s
% 7.08/2.33  # Maximum resident set size: 7124 pages
% 7.08/2.33  
%------------------------------------------------------------------------------