%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET906+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n017.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 00:15:09 EDT 2022

% Result   : Theorem 8.50s 2.49s
% Output   : CNFRefutation 8.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   18 (  10 unt;   0 nHn;  13 RR)
%            Number of literals    :   32 (   8 equ;  16 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    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   38 (  10 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_13,plain,
    ( in(X1,X2)
    | X2 != set_union2(X3,X4)
    | ~ in(X1,X4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-si4jzz4_/input.p',i_0_13) ).

cnf(i_0_8,plain,
    ( in(X1,X2)
    | X1 != X3
    | X2 != unordered_pair(X3,X4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-si4jzz4_/input.p',i_0_8) ).

cnf(i_0_18,plain,
    ( in(X1,X2)
    | ~ in(X1,X3)
    | ~ subset(X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-si4jzz4_/input.p',i_0_18) ).

cnf(i_0_26,negated_conjecture,
    subset(set_union2(unordered_pair(esk6_0,esk7_0),esk8_0),esk8_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-si4jzz4_/input.p',i_0_26) ).

cnf(i_0_3,plain,
    set_union2(X1,X2) = set_union2(X2,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-si4jzz4_/input.p',i_0_3) ).

cnf(i_0_25,negated_conjecture,
    ~ in(esk6_0,esk8_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-si4jzz4_/input.p',i_0_25) ).

cnf(c_0_33,plain,
    ( in(X1,X2)
    | X2 != set_union2(X3,X4)
    | ~ in(X1,X4) ),
    i_0_13 ).

cnf(c_0_34,plain,
    ( in(X1,X2)
    | X1 != X3
    | X2 != unordered_pair(X3,X4) ),
    i_0_8 ).

cnf(c_0_35,plain,
    ( in(X1,set_union2(X2,X3))
    | ~ in(X1,X3) ),
    inference(er,[status(thm)],[c_0_33]) ).

cnf(c_0_36,plain,
    in(X1,unordered_pair(X1,X2)),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_34])]) ).

cnf(c_0_37,plain,
    ( in(X1,X2)
    | ~ in(X1,X3)
    | ~ subset(X3,X2) ),
    i_0_18 ).

cnf(c_0_38,plain,
    in(X1,set_union2(X2,unordered_pair(X1,X3))),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_39,negated_conjecture,
    subset(set_union2(unordered_pair(esk6_0,esk7_0),esk8_0),esk8_0),
    i_0_26 ).

cnf(c_0_40,plain,
    set_union2(X1,X2) = set_union2(X2,X1),
    i_0_3 ).

cnf(c_0_41,plain,
    ( in(X1,X2)
    | ~ subset(set_union2(X3,unordered_pair(X1,X4)),X2) ),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_42,negated_conjecture,
    subset(set_union2(esk8_0,unordered_pair(esk6_0,esk7_0)),esk8_0),
    inference(rw,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_43,negated_conjecture,
    ~ in(esk6_0,esk8_0),
    i_0_25 ).

cnf(c_0_44,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET906+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n017.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun Jul 10 22:06:05 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.46  # ENIGMATIC: Selected complete mode:
% 8.50/2.49  # ENIGMATIC: Solved by autoschedule:
% 8.50/2.49  # No SInE strategy applied
% 8.50/2.49  # Trying AutoSched0 for 150 seconds
% 8.50/2.49  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S006A
% 8.50/2.49  # and selection function SelectLargestNegLit.
% 8.50/2.49  #
% 8.50/2.49  # Preprocessing time       : 0.013 s
% 8.50/2.49  # Presaturation interreduction done
% 8.50/2.49  
% 8.50/2.49  # Proof found!
% 8.50/2.49  # SZS status Theorem
% 8.50/2.49  # SZS output start CNFRefutation
% See solution above
% 8.50/2.49  # Training examples: 0 positive, 0 negative
% 8.50/2.49  
% 8.50/2.49  # -------------------------------------------------
% 8.50/2.49  # User time                : 0.018 s
% 8.50/2.49  # System time              : 0.007 s
% 8.50/2.49  # Total time               : 0.024 s
% 8.50/2.49  # Maximum resident set size: 7124 pages
% 8.50/2.49  
%------------------------------------------------------------------------------