TSTP Solution File: SWW101+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWW101+1 : TPTP v8.1.0. Released v5.2.0.
% 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 : Thu Jul 21 00:01:32 EDT 2022

% Result   : Theorem 7.29s 2.34s
% Output   : CNFRefutation 7.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   44 (  27 unt;   6 nHn;  39 RR)
%            Number of literals    :   65 (  38 equ;  22 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   21 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_8,plain,
    ( bool(X1)
    | X1 != false ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ptaabcpk/lgb.p',i_0_8) ).

cnf(i_0_98,plain,
    ( prop(X1) = true
    | ~ bool(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ptaabcpk/lgb.p',i_0_98) ).

cnf(i_0_40,plain,
    ~ forallprefers(lazy_impl(prop(X1),X1),lazy_impl(prop(esk4_0),esk4_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ptaabcpk/lgb.p',i_0_40) ).

cnf(i_0_96,plain,
    ( prop(X1) = false
    | bool(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ptaabcpk/lgb.p',i_0_96) ).

cnf(i_0_87,plain,
    lazy_impl(false,X1) = true,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ptaabcpk/lgb.p',i_0_87) ).

cnf(i_0_67,plain,
    ( lazy_impl(true,X1) = X1
    | ~ d(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ptaabcpk/lgb.p',i_0_67) ).

cnf(i_0_77,plain,
    d(false),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ptaabcpk/lgb.p',i_0_77) ).

cnf(i_0_42,plain,
    ( forallprefers(X1,X2)
    | X2 != true
    | X1 != false ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ptaabcpk/lgb.p',i_0_42) ).

cnf(i_0_99,plain,
    ( bool(X1)
    | prop(X1) != true ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ptaabcpk/lgb.p',i_0_99) ).

cnf(i_0_41,plain,
    lazy_impl(true,lazy_impl(prop(esk4_0),esk4_0)) = false2,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ptaabcpk/lgb.p',i_0_41) ).

cnf(i_0_9,plain,
    ( X1 = false
    | X1 = true
    | ~ bool(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ptaabcpk/lgb.p',i_0_9) ).

cnf(i_0_75,negated_conjecture,
    false1 != false2,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ptaabcpk/lgb.p',i_0_75) ).

cnf(i_0_39,plain,
    false1 = false,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ptaabcpk/lgb.p',i_0_39) ).

cnf(i_0_78,plain,
    d(true),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ptaabcpk/lgb.p',i_0_78) ).

cnf(c_0_114,plain,
    ( bool(X1)
    | X1 != false ),
    i_0_8 ).

cnf(c_0_115,plain,
    ( prop(X1) = true
    | ~ bool(X1) ),
    i_0_98 ).

cnf(c_0_116,plain,
    bool(false),
    inference(er,[status(thm)],[c_0_114]) ).

cnf(c_0_117,plain,
    ~ forallprefers(lazy_impl(prop(X1),X1),lazy_impl(prop(esk4_0),esk4_0)),
    i_0_40 ).

cnf(c_0_118,plain,
    prop(false) = true,
    inference(spm,[status(thm)],[c_0_115,c_0_116]) ).

cnf(c_0_119,plain,
    ( prop(X1) = false
    | bool(X1) ),
    i_0_96 ).

cnf(c_0_120,plain,
    ~ forallprefers(lazy_impl(true,false),lazy_impl(prop(esk4_0),esk4_0)),
    inference(spm,[status(thm)],[c_0_117,c_0_118]) ).

cnf(c_0_121,plain,
    ( prop(X1) = false
    | prop(X1) = true ),
    inference(spm,[status(thm)],[c_0_115,c_0_119]) ).

cnf(c_0_122,plain,
    lazy_impl(false,X1) = true,
    i_0_87 ).

cnf(c_0_123,plain,
    ( lazy_impl(true,X1) = X1
    | ~ d(X1) ),
    i_0_67 ).

cnf(c_0_124,plain,
    d(false),
    i_0_77 ).

cnf(c_0_125,plain,
    ( forallprefers(X1,X2)
    | X2 != true
    | X1 != false ),
    i_0_42 ).

cnf(c_0_126,plain,
    ( prop(esk4_0) = true
    | ~ forallprefers(lazy_impl(true,false),true) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_122]) ).

cnf(c_0_127,plain,
    lazy_impl(true,false) = false,
    inference(spm,[status(thm)],[c_0_123,c_0_124]) ).

cnf(c_0_128,plain,
    forallprefers(false,true),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_125])]) ).

cnf(c_0_129,plain,
    ( bool(X1)
    | prop(X1) != true ),
    i_0_99 ).

cnf(c_0_130,plain,
    prop(esk4_0) = true,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_126,c_0_127]),c_0_128])]) ).

cnf(c_0_131,plain,
    lazy_impl(true,lazy_impl(prop(esk4_0),esk4_0)) = false2,
    i_0_41 ).

cnf(c_0_132,plain,
    ( X1 = false
    | X1 = true
    | ~ bool(X1) ),
    i_0_9 ).

cnf(c_0_133,plain,
    bool(esk4_0),
    inference(spm,[status(thm)],[c_0_129,c_0_130]) ).

cnf(c_0_134,negated_conjecture,
    false1 != false2,
    i_0_75 ).

cnf(c_0_135,plain,
    false1 = false,
    i_0_39 ).

cnf(c_0_136,plain,
    lazy_impl(true,lazy_impl(true,esk4_0)) = false2,
    inference(rw,[status(thm)],[c_0_131,c_0_130]) ).

cnf(c_0_137,plain,
    ( esk4_0 = true
    | esk4_0 = false ),
    inference(spm,[status(thm)],[c_0_132,c_0_133]) ).

cnf(c_0_138,negated_conjecture,
    false2 != false,
    inference(rw,[status(thm)],[c_0_134,c_0_135]) ).

cnf(c_0_139,plain,
    d(true),
    i_0_78 ).

cnf(c_0_140,plain,
    ~ forallprefers(false,lazy_impl(true,esk4_0)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_120,c_0_127]),c_0_130]) ).

cnf(c_0_141,plain,
    esk4_0 = true,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_127]),c_0_127]),c_0_138]) ).

cnf(c_0_142,plain,
    lazy_impl(true,true) = true,
    inference(spm,[status(thm)],[c_0_123,c_0_139]) ).

cnf(c_0_143,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_140,c_0_141]),c_0_142]),c_0_128])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWW101+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.34  % Computer : n029.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sun Jun  5 03:12:50 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.45  # ENIGMATIC: Selected SinE mode:
% 0.20/0.46  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.20/0.46  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.20/0.46  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.29/2.34  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.29/2.34  # No SInE strategy applied
% 7.29/2.34  # Trying AutoSched0 for 150 seconds
% 7.29/2.34  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI
% 7.29/2.34  # and selection function SelectNewComplexAHP.
% 7.29/2.34  #
% 7.29/2.34  # Preprocessing time       : 0.023 s
% 7.29/2.34  # Presaturation interreduction done
% 7.29/2.34  
% 7.29/2.34  # Proof found!
% 7.29/2.34  # SZS status Theorem
% 7.29/2.34  # SZS output start CNFRefutation
% See solution above
% 7.29/2.34  # Training examples: 0 positive, 0 negative
% 7.29/2.34  
% 7.29/2.34  # -------------------------------------------------
% 7.29/2.34  # User time                : 0.031 s
% 7.29/2.34  # System time              : 0.005 s
% 7.29/2.34  # Total time               : 0.036 s
% 7.29/2.34  # Maximum resident set size: 7128 pages
% 7.29/2.34  
%------------------------------------------------------------------------------