TSTP Solution File: NUM548+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM548+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n004.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 08:37:13 EDT 2022

% Result   : Theorem 8.62s 2.57s
% Output   : CNFRefutation 8.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   24 (  12 unt;   0 nHn;  24 RR)
%            Number of literals    :   58 (   9 equ;  36 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   32 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_106,plain,
    ( aSubsetOf0(X1,X2)
    | X3 != slbdtsldtrb0(X2,X4)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X3)
    | ~ aElementOf0(X4,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f_rjoq9/lgb.p',i_0_106) ).

cnf(i_0_105,plain,
    ( sbrdtbr0(X1) = X2
    | X3 != slbdtsldtrb0(X4,X2)
    | ~ aSet0(X4)
    | ~ aElementOf0(X1,X3)
    | ~ aElementOf0(X2,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f_rjoq9/lgb.p',i_0_105) ).

cnf(i_0_111,hypothesis,
    aElementOf0(xk,szNzAzT0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f_rjoq9/lgb.p',i_0_111) ).

cnf(i_0_118,hypothesis,
    aElementOf0(xQ,slbdtsldtrb0(xS,xk)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f_rjoq9/lgb.p',i_0_118) ).

cnf(i_0_114,hypothesis,
    aSet0(xS),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f_rjoq9/lgb.p',i_0_114) ).

cnf(i_0_15,plain,
    ( aSet0(X1)
    | ~ aSet0(X2)
    | ~ aSubsetOf0(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f_rjoq9/lgb.p',i_0_15) ).

cnf(i_0_67,plain,
    ( isFinite0(X1)
    | ~ aSet0(X1)
    | ~ aElementOf0(sbrdtbr0(X1),szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f_rjoq9/lgb.p',i_0_67) ).

cnf(i_0_119,negated_conjecture,
    ~ isFinite0(xQ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f_rjoq9/lgb.p',i_0_119) ).

cnf(c_0_128,plain,
    ( aSubsetOf0(X1,X2)
    | X3 != slbdtsldtrb0(X2,X4)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X3)
    | ~ aElementOf0(X4,szNzAzT0) ),
    i_0_106 ).

cnf(c_0_129,plain,
    ( sbrdtbr0(X1) = X2
    | X3 != slbdtsldtrb0(X4,X2)
    | ~ aSet0(X4)
    | ~ aElementOf0(X1,X3)
    | ~ aElementOf0(X2,szNzAzT0) ),
    i_0_105 ).

cnf(c_0_130,plain,
    ( aSubsetOf0(X1,X2)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,slbdtsldtrb0(X2,X3))
    | ~ aElementOf0(X3,szNzAzT0) ),
    inference(er,[status(thm)],[c_0_128]) ).

cnf(c_0_131,hypothesis,
    aElementOf0(xk,szNzAzT0),
    i_0_111 ).

cnf(c_0_132,plain,
    ( sbrdtbr0(X1) = X2
    | ~ aSet0(X3)
    | ~ aElementOf0(X1,slbdtsldtrb0(X3,X2))
    | ~ aElementOf0(X2,szNzAzT0) ),
    inference(er,[status(thm)],[c_0_129]) ).

cnf(c_0_133,hypothesis,
    ( aSubsetOf0(X1,X2)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,slbdtsldtrb0(X2,xk)) ),
    inference(spm,[status(thm)],[c_0_130,c_0_131]) ).

cnf(c_0_134,hypothesis,
    aElementOf0(xQ,slbdtsldtrb0(xS,xk)),
    i_0_118 ).

cnf(c_0_135,hypothesis,
    aSet0(xS),
    i_0_114 ).

cnf(c_0_136,hypothesis,
    ( sbrdtbr0(X1) = xk
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,slbdtsldtrb0(X2,xk)) ),
    inference(spm,[status(thm)],[c_0_132,c_0_131]) ).

cnf(c_0_137,plain,
    ( aSet0(X1)
    | ~ aSet0(X2)
    | ~ aSubsetOf0(X1,X2) ),
    i_0_15 ).

cnf(c_0_138,hypothesis,
    aSubsetOf0(xQ,xS),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_135])]) ).

cnf(c_0_139,plain,
    ( isFinite0(X1)
    | ~ aSet0(X1)
    | ~ aElementOf0(sbrdtbr0(X1),szNzAzT0) ),
    i_0_67 ).

cnf(c_0_140,hypothesis,
    sbrdtbr0(xQ) = xk,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_134]),c_0_135])]) ).

cnf(c_0_141,plain,
    aSet0(xQ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_135])]) ).

cnf(c_0_142,negated_conjecture,
    ~ isFinite0(xQ),
    i_0_119 ).

cnf(c_0_143,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_141]),c_0_131])]),c_0_142]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM548+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n004.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 : Tue Jul  5 23:00:39 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 8.62/2.57  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.62/2.57  # No SInE strategy applied
% 8.62/2.57  # Trying AutoSched0 for 150 seconds
% 8.62/2.57  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 8.62/2.57  # and selection function SelectNewComplexAHP.
% 8.62/2.57  #
% 8.62/2.57  # Preprocessing time       : 0.023 s
% 8.62/2.57  # Presaturation interreduction done
% 8.62/2.57  
% 8.62/2.57  # Proof found!
% 8.62/2.57  # SZS status Theorem
% 8.62/2.57  # SZS output start CNFRefutation
% See solution above
% 8.62/2.57  # Training examples: 0 positive, 0 negative
% 8.62/2.57  
% 8.62/2.57  # -------------------------------------------------
% 8.62/2.57  # User time                : 0.035 s
% 8.62/2.57  # System time              : 0.007 s
% 8.62/2.57  # Total time               : 0.042 s
% 8.62/2.57  # Maximum resident set size: 7128 pages
% 8.62/2.57  
%------------------------------------------------------------------------------