TSTP Solution File: SWV102+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWV102+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n010.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 17:45:51 EDT 2022

% Result   : Theorem 4.43s 2.29s
% Output   : CNFRefutation 4.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   18
% Syntax   : Number of clauses     :   46 (  34 unt;   7 nHn;  40 RR)
%            Number of literals    :   98 (  91 equ;  50 neg)
%            Maximal clause size   :   15 (   2 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;  11 con; 0-3 aty)
%            Number of variables   :   27 (   7 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_126,negated_conjecture,
    ( a_select2(sigma_defuse,n0) != use
    | a_select2(sigma_defuse,n1) != use
    | a_select2(sigma_defuse,n2) != use
    | a_select2(sigma_defuse,n3) != use
    | a_select2(sigma_defuse,n4) != use
    | a_select2(sigma_defuse,n5) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n1,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2) != use ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wpnytsk6/lgb.p',i_0_126) ).

cnf(i_0_138,negated_conjecture,
    a_select2(sigma_defuse,n0) = use,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wpnytsk6/lgb.p',i_0_138) ).

cnf(i_0_137,negated_conjecture,
    a_select2(sigma_defuse,n1) = use,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wpnytsk6/lgb.p',i_0_137) ).

cnf(i_0_136,negated_conjecture,
    a_select2(sigma_defuse,n2) = use,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wpnytsk6/lgb.p',i_0_136) ).

cnf(i_0_135,negated_conjecture,
    a_select2(sigma_defuse,n3) = use,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wpnytsk6/lgb.p',i_0_135) ).

cnf(i_0_134,negated_conjecture,
    a_select2(sigma_defuse,n4) = use,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wpnytsk6/lgb.p',i_0_134) ).

cnf(i_0_140,plain,
    a_select2(tptp_update2(X1,X2,X3),X2) = X3,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wpnytsk6/lgb.p',i_0_140) ).

cnf(i_0_132,negated_conjecture,
    a_select3(u_defuse,n0,n0) = use,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wpnytsk6/lgb.p',i_0_132) ).

cnf(i_0_131,negated_conjecture,
    a_select3(u_defuse,n1,n0) = use,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wpnytsk6/lgb.p',i_0_131) ).

cnf(i_0_130,negated_conjecture,
    a_select3(u_defuse,n2,n0) = use,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wpnytsk6/lgb.p',i_0_130) ).

cnf(i_0_133,negated_conjecture,
    a_select2(sigma_defuse,n5) = use,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wpnytsk6/lgb.p',i_0_133) ).

cnf(i_0_129,negated_conjecture,
    a_select2(xinit_defuse,n3) = use,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wpnytsk6/lgb.p',i_0_129) ).

cnf(i_0_128,negated_conjecture,
    a_select2(xinit_defuse,n4) = use,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wpnytsk6/lgb.p',i_0_128) ).

cnf(i_0_127,negated_conjecture,
    a_select2(xinit_defuse,n5) = use,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wpnytsk6/lgb.p',i_0_127) ).

cnf(i_0_141,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-wpnytsk6/lgb.p',i_0_141) ).

cnf(i_0_13,plain,
    gt(n2,n0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wpnytsk6/lgb.p',i_0_13) ).

cnf(i_0_32,plain,
    ~ gt(X1,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wpnytsk6/lgb.p',i_0_32) ).

cnf(i_0_11,plain,
    gt(n1,n0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wpnytsk6/lgb.p',i_0_11) ).

cnf(c_0_160,negated_conjecture,
    ( a_select2(sigma_defuse,n0) != use
    | a_select2(sigma_defuse,n1) != use
    | a_select2(sigma_defuse,n2) != use
    | a_select2(sigma_defuse,n3) != use
    | a_select2(sigma_defuse,n4) != use
    | a_select2(sigma_defuse,n5) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n1,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2) != use ),
    i_0_126 ).

cnf(c_0_161,negated_conjecture,
    a_select2(sigma_defuse,n0) = use,
    i_0_138 ).

cnf(c_0_162,negated_conjecture,
    a_select2(sigma_defuse,n1) = use,
    i_0_137 ).

cnf(c_0_163,negated_conjecture,
    a_select2(sigma_defuse,n2) = use,
    i_0_136 ).

cnf(c_0_164,negated_conjecture,
    a_select2(sigma_defuse,n3) = use,
    i_0_135 ).

cnf(c_0_165,negated_conjecture,
    ( a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n1,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select2(sigma_defuse,n4) != use
    | a_select2(sigma_defuse,n5) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n5) != use ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_160,c_0_161]),c_0_162]),c_0_163]),c_0_164])]) ).

cnf(c_0_166,negated_conjecture,
    a_select2(sigma_defuse,n4) = use,
    i_0_134 ).

cnf(c_0_167,plain,
    a_select2(tptp_update2(X1,X2,X3),X2) = X3,
    i_0_140 ).

cnf(c_0_168,negated_conjecture,
    a_select3(u_defuse,n0,n0) = use,
    i_0_132 ).

cnf(c_0_169,negated_conjecture,
    a_select3(u_defuse,n1,n0) = use,
    i_0_131 ).

cnf(c_0_170,negated_conjecture,
    a_select3(u_defuse,n2,n0) = use,
    i_0_130 ).

cnf(c_0_171,negated_conjecture,
    a_select2(sigma_defuse,n5) = use,
    i_0_133 ).

cnf(c_0_172,negated_conjecture,
    a_select2(xinit_defuse,n3) = use,
    i_0_129 ).

cnf(c_0_173,negated_conjecture,
    a_select2(xinit_defuse,n4) = use,
    i_0_128 ).

cnf(c_0_174,negated_conjecture,
    a_select2(xinit_defuse,n5) = use,
    i_0_127 ).

cnf(c_0_175,plain,
    ( X1 = X2
    | a_select2(tptp_update2(X3,X1,X4),X2) = X5
    | a_select2(X3,X2) != X5 ),
    i_0_141 ).

cnf(c_0_176,negated_conjecture,
    ( a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) != use ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_165,c_0_166])]),c_0_167]),c_0_168]),c_0_169]),c_0_170]),c_0_171]),c_0_172]),c_0_173]),c_0_174])]) ).

cnf(c_0_177,plain,
    ( a_select2(tptp_update2(X1,X2,X3),X4) = a_select2(X1,X4)
    | X2 = X4 ),
    inference(er,[status(thm)],[c_0_175]) ).

cnf(c_0_178,negated_conjecture,
    ( n2 = n0
    | a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) != use
    | a_select2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n0) != use ),
    inference(spm,[status(thm)],[c_0_176,c_0_177]) ).

cnf(c_0_179,plain,
    ( n2 = n1
    | n2 = n0
    | a_select2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n0) != use ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_177]),c_0_167])]) ).

cnf(c_0_180,plain,
    gt(n2,n0),
    i_0_13 ).

cnf(c_0_181,plain,
    ( n0 = n1
    | n2 = n0
    | n2 = n1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_177]),c_0_167])]) ).

cnf(c_0_182,plain,
    ~ gt(X1,X1),
    i_0_32 ).

cnf(c_0_183,plain,
    ( n2 = n1
    | n0 = n1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_181]),c_0_182]) ).

cnf(c_0_184,plain,
    ( a_select2(tptp_update2(tptp_update2(X1,X2,X3),X4,X5),X2) = X3
    | X4 = X2 ),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_167])]) ).

cnf(c_0_185,plain,
    gt(n1,n0),
    i_0_11 ).

cnf(c_0_186,negated_conjecture,
    n0 = n1,
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_183]),c_0_167])]),c_0_184]) ).

cnf(c_0_187,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_185,c_0_186]),c_0_182]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SWV102+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.10/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n010.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 : Wed Jun 15 16:20:55 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected SinE mode:
% 0.19/0.46  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.46  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.46  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 4.43/2.29  # ENIGMATIC: Solved by autoschedule-lgb:
% 4.43/2.29  # No SInE strategy applied
% 4.43/2.29  # Trying AutoSched0 for 150 seconds
% 4.43/2.29  # AutoSched0-Mode selected heuristic G_E___300_C18_F1_URBAN_S0Y
% 4.43/2.29  # and selection function SelectMaxLComplexAvoidPosPred.
% 4.43/2.29  #
% 4.43/2.29  # Preprocessing time       : 0.036 s
% 4.43/2.29  
% 4.43/2.29  # Proof found!
% 4.43/2.29  # SZS status Theorem
% 4.43/2.29  # SZS output start CNFRefutation
% See solution above
% 4.43/2.29  # Training examples: 0 positive, 0 negative
% 4.43/2.29  
% 4.43/2.29  # -------------------------------------------------
% 4.43/2.29  # User time                : 0.045 s
% 4.43/2.29  # System time              : 0.006 s
% 4.43/2.29  # Total time               : 0.051 s
% 4.43/2.29  # Maximum resident set size: 7120 pages
% 4.43/2.29  
%------------------------------------------------------------------------------