TSTP Solution File: SWB051+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWB051+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n018.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 : Tue Jul 19 18:59:26 EDT 2022

% Result   : Theorem 261.20s 34.61s
% Output   : CNFRefutation 261.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   25
% Syntax   : Number of clauses     :   78 (  37 unt;  27 nHn;  78 RR)
%            Number of literals    :  176 (  34 equ;  70 neg)
%            Maximal clause size   :    8 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   20 (  20 usr;  17 con; 0-1 aty)
%            Number of variables   :   79 (  10 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_362,plain,
    ( X1 = X2
    | X1 = X3
    | ~ icext(X4,X1)
    | ~ iext(uri_rdf_first,X5,X2)
    | ~ iext(uri_rdf_first,X6,X3)
    | ~ iext(uri_rdf_rest,X6,X5)
    | ~ iext(uri_owl_oneOf,X4,X6)
    | ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6d3yddfn/input.p',i_0_362) ).

cnf(i_0_1074,plain,
    iext(uri_rdf_rest,esk196_0,uri_rdf_nil),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6d3yddfn/input.p',i_0_1074) ).

cnf(i_0_1078,plain,
    iext(uri_rdf_rest,esk193_0,uri_rdf_nil),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6d3yddfn/input.p',i_0_1078) ).

cnf(i_0_1075,plain,
    iext(uri_rdf_first,esk196_0,uri_ex_y),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6d3yddfn/input.p',i_0_1075) ).

cnf(i_0_1079,plain,
    iext(uri_rdf_first,esk193_0,uri_ex_y),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6d3yddfn/input.p',i_0_1079) ).

cnf(i_0_1072,plain,
    iext(uri_rdf_rest,esk191_0,esk196_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6d3yddfn/input.p',i_0_1072) ).

cnf(i_0_1169,plain,
    ( ip(X1)
    | ~ iext(X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6d3yddfn/input.p',i_0_1169) ).

cnf(i_0_1077,plain,
    iext(uri_ex_p,uri_ex_x,uri_ex_y),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6d3yddfn/input.p',i_0_1077) ).

cnf(i_0_1070,plain,
    iext(uri_rdf_rest,esk194_0,esk193_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6d3yddfn/input.p',i_0_1070) ).

cnf(i_0_1067,plain,
    iext(uri_owl_oneOf,esk195_0,esk191_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6d3yddfn/input.p',i_0_1067) ).

cnf(i_0_772,plain,
    ( icext(X1,X2)
    | ~ iext(X3,X4,X2)
    | ~ iext(uri_rdfs_range,X3,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6d3yddfn/input.p',i_0_772) ).

cnf(i_0_1080,plain,
    iext(uri_rdfs_range,uri_ex_p,esk195_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6d3yddfn/input.p',i_0_1080) ).

cnf(i_0_123,plain,
    ( icext(uri_owl_TransitiveProperty,X1)
    | iext(X1,esk31_1(X1),esk32_1(X1))
    | ~ ip(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6d3yddfn/input.p',i_0_123) ).

cnf(i_0_1082,plain,
    iext(uri_owl_oneOf,esk192_0,esk194_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6d3yddfn/input.p',i_0_1082) ).

cnf(i_0_767,plain,
    ( icext(X1,X2)
    | ~ iext(X3,X2,X4)
    | ~ iext(uri_rdfs_domain,X3,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6d3yddfn/input.p',i_0_767) ).

cnf(i_0_1081,plain,
    iext(uri_rdfs_domain,uri_ex_p,esk192_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6d3yddfn/input.p',i_0_1081) ).

cnf(i_0_124,plain,
    ( icext(uri_owl_TransitiveProperty,X1)
    | iext(X1,esk30_1(X1),esk31_1(X1))
    | ~ ip(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6d3yddfn/input.p',i_0_124) ).

cnf(i_0_1073,plain,
    iext(uri_rdf_first,esk191_0,uri_ex_x),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6d3yddfn/input.p',i_0_1073) ).

cnf(i_0_1071,plain,
    iext(uri_rdf_first,esk194_0,uri_ex_x),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6d3yddfn/input.p',i_0_1071) ).

cnf(i_0_122,plain,
    ( icext(uri_owl_TransitiveProperty,X1)
    | ~ ip(X1)
    | ~ iext(X1,esk30_1(X1),esk32_1(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6d3yddfn/input.p',i_0_122) ).

cnf(i_0_1068,plain,
    iext(uri_ex_p,uri_ex_y,uri_ex_y),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6d3yddfn/input.p',i_0_1068) ).

cnf(i_0_1069,plain,
    iext(uri_ex_p,uri_ex_y,uri_ex_x),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6d3yddfn/input.p',i_0_1069) ).

cnf(i_0_1076,plain,
    iext(uri_ex_p,uri_ex_x,uri_ex_x),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6d3yddfn/input.p',i_0_1076) ).

cnf(i_0_1101,plain,
    ( iext(uri_rdf_type,X1,X2)
    | ~ icext(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6d3yddfn/input.p',i_0_1101) ).

cnf(i_0_1,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_TransitiveProperty),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6d3yddfn/input.p',i_0_1) ).

cnf(c_0_1195,plain,
    ( X1 = X2
    | X1 = X3
    | ~ icext(X4,X1)
    | ~ iext(uri_rdf_first,X5,X2)
    | ~ iext(uri_rdf_first,X6,X3)
    | ~ iext(uri_rdf_rest,X6,X5)
    | ~ iext(uri_owl_oneOf,X4,X6)
    | ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
    i_0_362 ).

cnf(c_0_1196,plain,
    iext(uri_rdf_rest,esk196_0,uri_rdf_nil),
    i_0_1074 ).

cnf(c_0_1197,plain,
    iext(uri_rdf_rest,esk193_0,uri_rdf_nil),
    i_0_1078 ).

cnf(c_0_1198,plain,
    ( X1 = X2
    | X1 = X3
    | ~ iext(uri_rdf_first,esk196_0,X3)
    | ~ iext(uri_rdf_rest,X4,esk196_0)
    | ~ iext(uri_owl_oneOf,X5,X4)
    | ~ iext(uri_rdf_first,X4,X2)
    | ~ icext(X5,X1) ),
    inference(spm,[status(thm)],[c_0_1195,c_0_1196]) ).

cnf(c_0_1199,plain,
    iext(uri_rdf_first,esk196_0,uri_ex_y),
    i_0_1075 ).

cnf(c_0_1200,plain,
    ( X1 = X2
    | X1 = X3
    | ~ iext(uri_rdf_first,esk193_0,X3)
    | ~ iext(uri_rdf_rest,X4,esk193_0)
    | ~ iext(uri_owl_oneOf,X5,X4)
    | ~ iext(uri_rdf_first,X4,X2)
    | ~ icext(X5,X1) ),
    inference(spm,[status(thm)],[c_0_1195,c_0_1197]) ).

cnf(c_0_1201,plain,
    iext(uri_rdf_first,esk193_0,uri_ex_y),
    i_0_1079 ).

cnf(c_0_1202,plain,
    ( X1 = uri_ex_y
    | X1 = X2
    | ~ iext(uri_rdf_rest,X3,esk196_0)
    | ~ iext(uri_owl_oneOf,X4,X3)
    | ~ iext(uri_rdf_first,X3,X2)
    | ~ icext(X4,X1) ),
    inference(spm,[status(thm)],[c_0_1198,c_0_1199]) ).

cnf(c_0_1203,plain,
    iext(uri_rdf_rest,esk191_0,esk196_0),
    i_0_1072 ).

cnf(c_0_1204,plain,
    ( ip(X1)
    | ~ iext(X1,X2,X3) ),
    i_0_1169 ).

cnf(c_0_1205,plain,
    iext(uri_ex_p,uri_ex_x,uri_ex_y),
    i_0_1077 ).

cnf(c_0_1206,plain,
    ( X1 = uri_ex_y
    | X1 = X2
    | ~ iext(uri_rdf_rest,X3,esk193_0)
    | ~ iext(uri_owl_oneOf,X4,X3)
    | ~ iext(uri_rdf_first,X3,X2)
    | ~ icext(X4,X1) ),
    inference(spm,[status(thm)],[c_0_1200,c_0_1201]) ).

cnf(c_0_1207,plain,
    iext(uri_rdf_rest,esk194_0,esk193_0),
    i_0_1070 ).

cnf(c_0_1208,plain,
    ( X1 = uri_ex_y
    | X1 = X2
    | ~ iext(uri_owl_oneOf,X3,esk191_0)
    | ~ iext(uri_rdf_first,esk191_0,X2)
    | ~ icext(X3,X1) ),
    inference(spm,[status(thm)],[c_0_1202,c_0_1203]) ).

cnf(c_0_1209,plain,
    iext(uri_owl_oneOf,esk195_0,esk191_0),
    i_0_1067 ).

cnf(c_0_1210,plain,
    ( icext(X1,X2)
    | ~ iext(X3,X4,X2)
    | ~ iext(uri_rdfs_range,X3,X1) ),
    i_0_772 ).

cnf(c_0_1211,plain,
    iext(uri_rdfs_range,uri_ex_p,esk195_0),
    i_0_1080 ).

cnf(c_0_1212,plain,
    ( icext(uri_owl_TransitiveProperty,X1)
    | iext(X1,esk31_1(X1),esk32_1(X1))
    | ~ ip(X1) ),
    i_0_123 ).

cnf(c_0_1213,plain,
    ip(uri_ex_p),
    inference(spm,[status(thm)],[c_0_1204,c_0_1205]) ).

cnf(c_0_1214,plain,
    ( X1 = uri_ex_y
    | X1 = X2
    | ~ iext(uri_owl_oneOf,X3,esk194_0)
    | ~ iext(uri_rdf_first,esk194_0,X2)
    | ~ icext(X3,X1) ),
    inference(spm,[status(thm)],[c_0_1206,c_0_1207]) ).

cnf(c_0_1215,plain,
    iext(uri_owl_oneOf,esk192_0,esk194_0),
    i_0_1082 ).

cnf(c_0_1216,plain,
    ( icext(X1,X2)
    | ~ iext(X3,X2,X4)
    | ~ iext(uri_rdfs_domain,X3,X1) ),
    i_0_767 ).

cnf(c_0_1217,plain,
    iext(uri_rdfs_domain,uri_ex_p,esk192_0),
    i_0_1081 ).

cnf(c_0_1218,plain,
    ( icext(uri_owl_TransitiveProperty,X1)
    | iext(X1,esk30_1(X1),esk31_1(X1))
    | ~ ip(X1) ),
    i_0_124 ).

cnf(c_0_1219,plain,
    ( X1 = uri_ex_y
    | X1 = X2
    | ~ iext(uri_rdf_first,esk191_0,X2)
    | ~ icext(esk195_0,X1) ),
    inference(spm,[status(thm)],[c_0_1208,c_0_1209]) ).

cnf(c_0_1220,plain,
    iext(uri_rdf_first,esk191_0,uri_ex_x),
    i_0_1073 ).

cnf(c_0_1221,plain,
    ( icext(esk195_0,X1)
    | ~ iext(uri_ex_p,X2,X1) ),
    inference(spm,[status(thm)],[c_0_1210,c_0_1211]) ).

cnf(c_0_1222,plain,
    ( iext(uri_ex_p,esk31_1(uri_ex_p),esk32_1(uri_ex_p))
    | icext(uri_owl_TransitiveProperty,uri_ex_p) ),
    inference(spm,[status(thm)],[c_0_1212,c_0_1213]) ).

cnf(c_0_1223,plain,
    ( X1 = uri_ex_y
    | X1 = X2
    | ~ iext(uri_rdf_first,esk194_0,X2)
    | ~ icext(esk192_0,X1) ),
    inference(spm,[status(thm)],[c_0_1214,c_0_1215]) ).

cnf(c_0_1224,plain,
    iext(uri_rdf_first,esk194_0,uri_ex_x),
    i_0_1071 ).

cnf(c_0_1225,plain,
    ( icext(esk192_0,X1)
    | ~ iext(uri_ex_p,X1,X2) ),
    inference(spm,[status(thm)],[c_0_1216,c_0_1217]) ).

cnf(c_0_1226,plain,
    ( iext(uri_ex_p,esk30_1(uri_ex_p),esk31_1(uri_ex_p))
    | icext(uri_owl_TransitiveProperty,uri_ex_p) ),
    inference(spm,[status(thm)],[c_0_1218,c_0_1213]) ).

cnf(c_0_1227,plain,
    ( icext(uri_owl_TransitiveProperty,X1)
    | ~ ip(X1)
    | ~ iext(X1,esk30_1(X1),esk32_1(X1)) ),
    i_0_122 ).

cnf(c_0_1228,plain,
    ( X1 = uri_ex_x
    | X1 = uri_ex_y
    | ~ icext(esk195_0,X1) ),
    inference(spm,[status(thm)],[c_0_1219,c_0_1220]) ).

cnf(c_0_1229,plain,
    ( icext(esk195_0,esk32_1(uri_ex_p))
    | icext(uri_owl_TransitiveProperty,uri_ex_p) ),
    inference(spm,[status(thm)],[c_0_1221,c_0_1222]) ).

cnf(c_0_1230,plain,
    ( X1 = uri_ex_x
    | X1 = uri_ex_y
    | ~ icext(esk192_0,X1) ),
    inference(spm,[status(thm)],[c_0_1223,c_0_1224]) ).

cnf(c_0_1231,plain,
    ( icext(esk192_0,esk30_1(uri_ex_p))
    | icext(uri_owl_TransitiveProperty,uri_ex_p) ),
    inference(spm,[status(thm)],[c_0_1225,c_0_1226]) ).

cnf(c_0_1232,plain,
    ( icext(uri_owl_TransitiveProperty,X1)
    | ~ iext(X1,esk30_1(X1),esk32_1(X1)) ),
    inference(csr,[status(thm)],[c_0_1227,c_0_1204]) ).

cnf(c_0_1233,plain,
    ( esk32_1(uri_ex_p) = uri_ex_y
    | esk32_1(uri_ex_p) = uri_ex_x
    | icext(uri_owl_TransitiveProperty,uri_ex_p) ),
    inference(spm,[status(thm)],[c_0_1228,c_0_1229]) ).

cnf(c_0_1234,plain,
    ( esk30_1(uri_ex_p) = uri_ex_y
    | esk30_1(uri_ex_p) = uri_ex_x
    | icext(uri_owl_TransitiveProperty,uri_ex_p) ),
    inference(spm,[status(thm)],[c_0_1230,c_0_1231]) ).

cnf(c_0_1235,plain,
    ( esk32_1(uri_ex_p) = uri_ex_x
    | icext(uri_owl_TransitiveProperty,uri_ex_p)
    | ~ iext(uri_ex_p,esk30_1(uri_ex_p),uri_ex_y) ),
    inference(spm,[status(thm)],[c_0_1232,c_0_1233]) ).

cnf(c_0_1236,plain,
    iext(uri_ex_p,uri_ex_y,uri_ex_y),
    i_0_1068 ).

cnf(c_0_1237,plain,
    ( esk30_1(uri_ex_p) = uri_ex_x
    | icext(uri_owl_TransitiveProperty,uri_ex_p)
    | ~ iext(uri_ex_p,uri_ex_y,esk32_1(uri_ex_p)) ),
    inference(spm,[status(thm)],[c_0_1232,c_0_1234]) ).

cnf(c_0_1238,plain,
    ( esk30_1(uri_ex_p) = uri_ex_x
    | esk32_1(uri_ex_p) = uri_ex_x
    | icext(uri_owl_TransitiveProperty,uri_ex_p) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1235,c_0_1234]),c_0_1236])]) ).

cnf(c_0_1239,plain,
    iext(uri_ex_p,uri_ex_y,uri_ex_x),
    i_0_1069 ).

cnf(c_0_1240,plain,
    ( esk30_1(uri_ex_p) = uri_ex_x
    | icext(uri_owl_TransitiveProperty,uri_ex_p) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1237,c_0_1238]),c_0_1239])]) ).

cnf(c_0_1241,plain,
    ( icext(uri_owl_TransitiveProperty,uri_ex_p)
    | ~ iext(uri_ex_p,uri_ex_x,esk32_1(uri_ex_p)) ),
    inference(spm,[status(thm)],[c_0_1232,c_0_1240]) ).

cnf(c_0_1242,plain,
    ( esk32_1(uri_ex_p) = uri_ex_x
    | icext(uri_owl_TransitiveProperty,uri_ex_p) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1235,c_0_1240]),c_0_1205])]) ).

cnf(c_0_1243,plain,
    iext(uri_ex_p,uri_ex_x,uri_ex_x),
    i_0_1076 ).

cnf(c_0_1244,plain,
    ( iext(uri_rdf_type,X1,X2)
    | ~ icext(X2,X1) ),
    i_0_1101 ).

cnf(c_0_1245,plain,
    icext(uri_owl_TransitiveProperty,uri_ex_p),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1241,c_0_1242]),c_0_1243])]) ).

cnf(c_0_1246,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_TransitiveProperty),
    i_0_1 ).

cnf(c_0_1247,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1244,c_0_1245]),c_0_1246]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWB051+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n018.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 : Wed Jun  1 06:37:30 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  # ENIGMATIC: Selected SinE mode:
% 0.20/0.47  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.20/0.47  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.20/0.47  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 261.20/34.61  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l4800-e0.15+coop-paramils157:
% 261.20/34.61  # SinE strategy is GSinE(CountFormulas,hypos,5.0,,3,500,1.0)
% 261.20/34.61  # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d30-l4800-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 17; version: 991; iters: 150)
% 261.20/34.61  # Preprocessing time       : 0.778 s
% 261.20/34.61  
% 261.20/34.61  # Proof found!
% 261.20/34.61  # SZS status Theorem
% 261.20/34.61  # SZS output start CNFRefutation
% See solution above
% 261.20/34.61  # Training examples: 0 positive, 0 negative
% 261.20/34.61  
% 261.20/34.61  # -------------------------------------------------
% 261.20/34.61  # User time                : 1.539 s
% 261.20/34.61  # System time              : 0.098 s
% 261.20/34.61  # Total time               : 1.637 s
% 261.20/34.61  # ...preprocessing         : 0.778 s
% 261.20/34.61  # ...main loop             : 0.859 s
% 261.20/34.61  # Maximum resident set size: 157452 pages
% 261.20/34.61  
%------------------------------------------------------------------------------