TSTP Solution File: NUM552+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM552+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n008.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 : Mon Jul 18 08:37:16 EDT 2022

% Result   : Theorem 8.01s 2.39s
% Output   : CNFRefutation 8.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   28 (  15 unt;   0 nHn;  28 RR)
%            Number of literals    :   60 (   4 equ;  34 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   31 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_107,plain,
    ( aSet0(X1)
    | X1 != slbdtsldtrb0(X2,X3)
    | ~ aSet0(X2)
    | ~ aElementOf0(X3,szNzAzT0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-23z4fmy2/lgb.p',i_0_107) ).

cnf(i_0_14,plain,
    ( aElementOf0(X1,X2)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X3)
    | ~ aSubsetOf0(X3,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-23z4fmy2/lgb.p',i_0_14) ).

cnf(i_0_116,hypothesis,
    aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-23z4fmy2/lgb.p',i_0_116) ).

cnf(i_0_111,hypothesis,
    aElementOf0(xk,szNzAzT0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-23z4fmy2/lgb.p',i_0_111) ).

cnf(i_0_106,plain,
    ( aSubsetOf0(X1,X2)
    | X3 != slbdtsldtrb0(X2,X4)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X3)
    | ~ aElementOf0(X4,szNzAzT0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-23z4fmy2/lgb.p',i_0_106) ).

cnf(i_0_113,hypothesis,
    aSet0(xT),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-23z4fmy2/lgb.p',i_0_113) ).

cnf(i_0_118,hypothesis,
    aElementOf0(xQ,slbdtsldtrb0(xS,xk)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-23z4fmy2/lgb.p',i_0_118) ).

cnf(i_0_125,negated_conjecture,
    aElementOf0(xx,xQ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-23z4fmy2/lgb.p',i_0_125) ).

cnf(i_0_124,negated_conjecture,
    ~ aElementOf0(xx,xT),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-23z4fmy2/lgb.p',i_0_124) ).

cnf(c_0_135,plain,
    ( aSet0(X1)
    | X1 != slbdtsldtrb0(X2,X3)
    | ~ aSet0(X2)
    | ~ aElementOf0(X3,szNzAzT0) ),
    i_0_107 ).

cnf(c_0_136,plain,
    ( aElementOf0(X1,X2)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X3)
    | ~ aSubsetOf0(X3,X2) ),
    i_0_14 ).

cnf(c_0_137,hypothesis,
    aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)),
    i_0_116 ).

cnf(c_0_138,plain,
    ( aSet0(slbdtsldtrb0(X1,X2))
    | ~ aSet0(X1)
    | ~ aElementOf0(X2,szNzAzT0) ),
    inference(er,[status(thm)],[c_0_135]) ).

cnf(c_0_139,hypothesis,
    aElementOf0(xk,szNzAzT0),
    i_0_111 ).

cnf(c_0_140,plain,
    ( aSubsetOf0(X1,X2)
    | X3 != slbdtsldtrb0(X2,X4)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X3)
    | ~ aElementOf0(X4,szNzAzT0) ),
    i_0_106 ).

cnf(c_0_141,hypothesis,
    ( aElementOf0(X1,slbdtsldtrb0(xT,xk))
    | ~ aSet0(slbdtsldtrb0(xT,xk))
    | ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ),
    inference(spm,[status(thm)],[c_0_136,c_0_137]) ).

cnf(c_0_142,hypothesis,
    ( aSet0(slbdtsldtrb0(X1,xk))
    | ~ aSet0(X1) ),
    inference(spm,[status(thm)],[c_0_138,c_0_139]) ).

cnf(c_0_143,hypothesis,
    aSet0(xT),
    i_0_113 ).

cnf(c_0_144,plain,
    ( aSubsetOf0(X1,X2)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,slbdtsldtrb0(X2,X3))
    | ~ aElementOf0(X3,szNzAzT0) ),
    inference(er,[status(thm)],[c_0_140]) ).

cnf(c_0_145,hypothesis,
    ( aElementOf0(X1,slbdtsldtrb0(xT,xk))
    | ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_143])]) ).

cnf(c_0_146,hypothesis,
    aElementOf0(xQ,slbdtsldtrb0(xS,xk)),
    i_0_118 ).

cnf(c_0_147,hypothesis,
    ( aSubsetOf0(X1,X2)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,slbdtsldtrb0(X2,xk)) ),
    inference(spm,[status(thm)],[c_0_144,c_0_139]) ).

cnf(c_0_148,hypothesis,
    aElementOf0(xQ,slbdtsldtrb0(xT,xk)),
    inference(spm,[status(thm)],[c_0_145,c_0_146]) ).

cnf(c_0_149,hypothesis,
    aSubsetOf0(xQ,xT),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_143])]) ).

cnf(c_0_150,plain,
    ( aElementOf0(X1,xT)
    | ~ aElementOf0(X1,xQ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_149]),c_0_143])]) ).

cnf(c_0_151,negated_conjecture,
    aElementOf0(xx,xQ),
    i_0_125 ).

cnf(c_0_152,negated_conjecture,
    ~ aElementOf0(xx,xT),
    i_0_124 ).

cnf(c_0_153,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_152]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUM552+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.33  % Computer : n008.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Thu Jul  7 12:07:25 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected complete mode:
% 8.01/2.39  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.01/2.39  # No SInE strategy applied
% 8.01/2.39  # Trying AutoSched0 for 150 seconds
% 8.01/2.39  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 8.01/2.39  # and selection function SelectNewComplexAHP.
% 8.01/2.39  #
% 8.01/2.39  # Preprocessing time       : 0.024 s
% 8.01/2.39  # Presaturation interreduction done
% 8.01/2.39  
% 8.01/2.39  # Proof found!
% 8.01/2.39  # SZS status Theorem
% 8.01/2.39  # SZS output start CNFRefutation
% See solution above
% 8.01/2.39  # Training examples: 0 positive, 0 negative
% 8.01/2.39  
% 8.01/2.39  # -------------------------------------------------
% 8.01/2.39  # User time                : 0.042 s
% 8.01/2.39  # System time              : 0.004 s
% 8.01/2.39  # Total time               : 0.046 s
% 8.01/2.39  # Maximum resident set size: 7124 pages
% 8.01/2.39  
%------------------------------------------------------------------------------