TSTP Solution File: SWV089+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWV089+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 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 : Wed Jul 20 17:45:47 EDT 2022

% Result   : Theorem 16.25s 3.41s
% Output   : CNFRefutation 16.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   41 (  20 unt;  17 nHn;  31 RR)
%            Number of literals    :  112 (  97 equ;  38 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   9 con; 0-4 aty)
%            Number of variables   :   49 (  10 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_126,negated_conjecture,
    ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n3) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n4) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n5) != use
    | a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n0,n0) != use
    | a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n1,n0) != use
    | a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n2,n0) != use ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7w5cgfdn/input.p',i_0_126) ).

cnf(i_0_129,plain,
    a_select2(tptp_update2(X1,X2,X3),X2) = X3,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7w5cgfdn/input.p',i_0_129) ).

cnf(i_0_134,plain,
    a_select3(tptp_update3(X1,X2,X3,X4),X2,X3) = X4,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7w5cgfdn/input.p',i_0_134) ).

cnf(i_0_130,plain,
    ( X1 = X2
    | a_select2(tptp_update2(X3,X1,X4),X2) = X5
    | a_select2(X3,X2) != X5 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7w5cgfdn/input.p',i_0_130) ).

cnf(i_0_135,plain,
    ( X1 = X2
    | a_select3(tptp_update3(X3,X1,X4,X5),X2,X6) = X7
    | X4 != X6
    | a_select3(X3,X2,X6) != X7 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7w5cgfdn/input.p',i_0_135) ).

cnf(i_0_29,plain,
    gt(n5,n4),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7w5cgfdn/input.p',i_0_29) ).

cnf(i_0_32,plain,
    ~ gt(X1,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7w5cgfdn/input.p',i_0_32) ).

cnf(i_0_28,plain,
    gt(n5,n3),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7w5cgfdn/input.p',i_0_28) ).

cnf(i_0_23,plain,
    gt(n4,n3),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7w5cgfdn/input.p',i_0_23) ).

cnf(i_0_14,plain,
    gt(n2,n1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7w5cgfdn/input.p',i_0_14) ).

cnf(i_0_13,plain,
    gt(n2,n0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7w5cgfdn/input.p',i_0_13) ).

cnf(i_0_11,plain,
    gt(n1,n0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7w5cgfdn/input.p',i_0_11) ).

cnf(c_0_148,negated_conjecture,
    ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n3) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n4) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n5) != use
    | a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n0,n0) != use
    | a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n1,n0) != use
    | a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n2,n0) != use ),
    i_0_126 ).

cnf(c_0_149,plain,
    a_select2(tptp_update2(X1,X2,X3),X2) = X3,
    i_0_129 ).

cnf(c_0_150,plain,
    a_select3(tptp_update3(X1,X2,X3,X4),X2,X3) = X4,
    i_0_134 ).

cnf(c_0_151,plain,
    ( X1 = X2
    | a_select2(tptp_update2(X3,X1,X4),X2) = X5
    | a_select2(X3,X2) != X5 ),
    i_0_130 ).

cnf(c_0_152,negated_conjecture,
    ( a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n1,n0) != use
    | a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n2,n0) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n4) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n5) != use ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_148,c_0_149]),c_0_150])]) ).

cnf(c_0_153,plain,
    ( a_select2(tptp_update2(X1,X2,X3),X4) = a_select2(X1,X4)
    | X2 = X4 ),
    inference(er,[status(thm)],[c_0_151]) ).

cnf(c_0_154,negated_conjecture,
    ( n4 = n3
    | a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n1,n0) != use
    | a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n2,n0) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n5) != use ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_149])]) ).

cnf(c_0_155,plain,
    ( n4 = n3
    | n5 = n3
    | a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n1,n0) != use
    | a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n2,n0) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n5) != use ),
    inference(spm,[status(thm)],[c_0_154,c_0_153]) ).

cnf(c_0_156,plain,
    ( n4 = n3
    | n5 = n3
    | n5 = n4
    | a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n1,n0) != use
    | a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n2,n0) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n5) != use ),
    inference(spm,[status(thm)],[c_0_155,c_0_153]) ).

cnf(c_0_157,plain,
    ( X1 = X2
    | a_select3(tptp_update3(X3,X1,X4,X5),X2,X6) = X7
    | X4 != X6
    | a_select3(X3,X2,X6) != X7 ),
    i_0_135 ).

cnf(c_0_158,plain,
    ( n4 = n3
    | n5 = n3
    | n5 = n4
    | a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n1,n0) != use
    | a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n2,n0) != use ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_153]),c_0_149])]) ).

cnf(c_0_159,plain,
    ( a_select3(tptp_update3(X1,X2,X3,X4),X5,X3) = a_select3(X1,X5,X3)
    | X2 = X5 ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_157])]) ).

cnf(c_0_160,plain,
    ( n4 = n3
    | n5 = n3
    | n5 = n4
    | n1 = n0
    | a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n2,n0) != use ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_150])]) ).

cnf(c_0_161,plain,
    ( n4 = n3
    | n5 = n3
    | n5 = n4
    | n1 = n0
    | n2 = n0
    | a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n2,n0) != use ),
    inference(spm,[status(thm)],[c_0_160,c_0_159]) ).

cnf(c_0_162,plain,
    ( n4 = n3
    | n5 = n3
    | n5 = n4
    | n1 = n0
    | n2 = n0
    | n2 = n1
    | a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n2,n0) != use ),
    inference(spm,[status(thm)],[c_0_161,c_0_159]) ).

cnf(c_0_163,plain,
    gt(n5,n4),
    i_0_29 ).

cnf(c_0_164,plain,
    ( n4 = n3
    | n5 = n3
    | n5 = n4
    | n1 = n0
    | n2 = n0
    | n2 = n1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_159]),c_0_150])]) ).

cnf(c_0_165,plain,
    ~ gt(X1,X1),
    i_0_32 ).

cnf(c_0_166,plain,
    gt(n5,n3),
    i_0_28 ).

cnf(c_0_167,plain,
    ( n4 = n3
    | n5 = n3
    | n1 = n0
    | n2 = n0
    | n2 = n1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_164]),c_0_165]) ).

cnf(c_0_168,plain,
    gt(n4,n3),
    i_0_23 ).

cnf(c_0_169,plain,
    ( n4 = n3
    | n1 = n0
    | n2 = n0
    | n2 = n1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_165]) ).

cnf(c_0_170,plain,
    gt(n2,n1),
    i_0_14 ).

cnf(c_0_171,plain,
    ( n1 = n0
    | n2 = n0
    | n2 = n1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_165]) ).

cnf(c_0_172,plain,
    gt(n2,n0),
    i_0_13 ).

cnf(c_0_173,plain,
    ( n1 = n0
    | n2 = n0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_165]) ).

cnf(c_0_174,plain,
    gt(n1,n0),
    i_0_11 ).

cnf(c_0_175,plain,
    n1 = n0,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_165]) ).

cnf(c_0_176,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_174,c_0_175]),c_0_165]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SWV089+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.10/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n029.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Wed Jun 15 00:51:43 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected SinE mode:
% 0.18/0.45  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.18/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.18/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 16.25/3.41  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 16.25/3.41  # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 46; version: 991; iters: 150)
% 16.25/3.41  # Preprocessing time       : 0.861 s
% 16.25/3.41  # Presaturation interreduction done
% 16.25/3.41  
% 16.25/3.41  # Proof found!
% 16.25/3.41  # SZS status Theorem
% 16.25/3.41  # SZS output start CNFRefutation
% See solution above
% 16.25/3.41  # Training examples: 0 positive, 0 negative
% 16.25/3.41  
% 16.25/3.41  # -------------------------------------------------
% 16.25/3.41  # User time                : 0.785 s
% 16.25/3.41  # System time              : 0.109 s
% 16.25/3.41  # Total time               : 0.894 s
% 16.25/3.41  # ...preprocessing         : 0.861 s
% 16.25/3.41  # ...main loop             : 0.033 s
% 16.25/3.41  # Maximum resident set size: 167412 pages
% 16.25/3.41  
%------------------------------------------------------------------------------