TSTP Solution File: SWB068+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWB068+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n028.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 18:59:28 EDT 2022

% Result   : Theorem 4.99s 2.64s
% Output   : CNFRefutation 4.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   45 (  21 unt;  16 nHn;  45 RR)
%            Number of literals    :  160 (  50 equ;  78 neg)
%            Maximal clause size   :   10 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;  13 con; 0-1 aty)
%            Number of variables   :   65 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_495,plain,
    ( X1 = X2
    | X3 = X2
    | X3 = X1
    | icext(uri_owl_AllDifferent,esk69_1(X4))
    | ~ iext(uri_rdf_first,X5,X2)
    | ~ iext(uri_rdf_first,X6,X1)
    | ~ iext(uri_rdf_first,X4,X3)
    | ~ iext(uri_rdf_rest,X6,X5)
    | ~ iext(uri_rdf_rest,X4,X6)
    | ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-smbzl3_t/lgb.p',i_0_495) ).

cnf(i_0_1069,plain,
    iext(uri_rdf_rest,esk193_0,esk191_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-smbzl3_t/lgb.p',i_0_1069) ).

cnf(i_0_1072,plain,
    iext(uri_rdf_rest,esk191_0,uri_rdf_nil),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-smbzl3_t/lgb.p',i_0_1072) ).

cnf(i_0_1070,plain,
    iext(uri_rdf_first,esk193_0,uri_ex_w2),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-smbzl3_t/lgb.p',i_0_1070) ).

cnf(i_0_1073,plain,
    iext(uri_rdf_first,esk191_0,uri_ex_w3),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-smbzl3_t/lgb.p',i_0_1073) ).

cnf(i_0_494,plain,
    ( X1 = X2
    | X3 = X2
    | X3 = X1
    | iext(uri_owl_members,esk69_1(X4),X4)
    | ~ iext(uri_rdf_first,X5,X2)
    | ~ iext(uri_rdf_first,X6,X1)
    | ~ iext(uri_rdf_first,X4,X3)
    | ~ iext(uri_rdf_rest,X6,X5)
    | ~ iext(uri_rdf_rest,X4,X6)
    | ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-smbzl3_t/lgb.p',i_0_494) ).

cnf(i_0_1,negated_conjecture,
    ( ~ iext(uri_rdf_rest,X1,X2)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_owl_members,X4,X3)
    | ~ iext(uri_rdf_first,X2,uri_ex_w3)
    | ~ iext(uri_rdf_first,X1,uri_ex_w2)
    | ~ iext(uri_rdf_first,X3,uri_ex_w1)
    | ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
    | ~ iext(uri_rdf_type,X4,uri_owl_AllDifferent) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-smbzl3_t/lgb.p',i_0_1) ).

cnf(i_0_1068,plain,
    iext(uri_rdf_first,esk192_0,uri_ex_w1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-smbzl3_t/lgb.p',i_0_1068) ).

cnf(i_0_1067,plain,
    iext(uri_rdf_rest,esk192_0,esk193_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-smbzl3_t/lgb.p',i_0_1067) ).

cnf(i_0_1094,plain,
    ( iext(uri_rdf_type,X1,X2)
    | ~ icext(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-smbzl3_t/lgb.p',i_0_1094) ).

cnf(i_0_377,plain,
    ( X1 != X2
    | ~ iext(uri_owl_differentFrom,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-smbzl3_t/lgb.p',i_0_377) ).

cnf(i_0_1074,plain,
    iext(uri_owl_differentFrom,uri_ex_w1,uri_ex_w3),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-smbzl3_t/lgb.p',i_0_1074) ).

cnf(i_0_1075,plain,
    iext(uri_owl_differentFrom,uri_ex_w1,uri_ex_w2),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-smbzl3_t/lgb.p',i_0_1075) ).

cnf(i_0_1071,plain,
    iext(uri_owl_differentFrom,uri_ex_w2,uri_ex_w3),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-smbzl3_t/lgb.p',i_0_1071) ).

cnf(c_0_1109,plain,
    ( X1 = X2
    | X3 = X2
    | X3 = X1
    | icext(uri_owl_AllDifferent,esk69_1(X4))
    | ~ iext(uri_rdf_first,X5,X2)
    | ~ iext(uri_rdf_first,X6,X1)
    | ~ iext(uri_rdf_first,X4,X3)
    | ~ iext(uri_rdf_rest,X6,X5)
    | ~ iext(uri_rdf_rest,X4,X6)
    | ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
    i_0_495 ).

cnf(c_0_1110,plain,
    iext(uri_rdf_rest,esk193_0,esk191_0),
    i_0_1069 ).

cnf(c_0_1111,plain,
    iext(uri_rdf_rest,esk191_0,uri_rdf_nil),
    i_0_1072 ).

cnf(c_0_1112,plain,
    ( X1 = X2
    | X1 = X3
    | X2 = X3
    | icext(uri_owl_AllDifferent,esk69_1(X4))
    | ~ iext(uri_rdf_rest,X4,esk193_0)
    | ~ iext(uri_rdf_first,esk193_0,X1)
    | ~ iext(uri_rdf_first,esk191_0,X2)
    | ~ iext(uri_rdf_first,X4,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1109,c_0_1110]),c_0_1111])]) ).

cnf(c_0_1113,plain,
    iext(uri_rdf_first,esk193_0,uri_ex_w2),
    i_0_1070 ).

cnf(c_0_1114,plain,
    ( uri_ex_w2 = X1
    | uri_ex_w2 = X2
    | X2 = X1
    | icext(uri_owl_AllDifferent,esk69_1(X3))
    | ~ iext(uri_rdf_rest,X3,esk193_0)
    | ~ iext(uri_rdf_first,esk191_0,X2)
    | ~ iext(uri_rdf_first,X3,X1) ),
    inference(spm,[status(thm)],[c_0_1112,c_0_1113]) ).

cnf(c_0_1115,plain,
    iext(uri_rdf_first,esk191_0,uri_ex_w3),
    i_0_1073 ).

cnf(c_0_1116,plain,
    ( X1 = X2
    | X3 = X2
    | X3 = X1
    | iext(uri_owl_members,esk69_1(X4),X4)
    | ~ iext(uri_rdf_first,X5,X2)
    | ~ iext(uri_rdf_first,X6,X1)
    | ~ iext(uri_rdf_first,X4,X3)
    | ~ iext(uri_rdf_rest,X6,X5)
    | ~ iext(uri_rdf_rest,X4,X6)
    | ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
    i_0_494 ).

cnf(c_0_1117,negated_conjecture,
    ( ~ iext(uri_rdf_rest,X1,X2)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_owl_members,X4,X3)
    | ~ iext(uri_rdf_first,X2,uri_ex_w3)
    | ~ iext(uri_rdf_first,X1,uri_ex_w2)
    | ~ iext(uri_rdf_first,X3,uri_ex_w1)
    | ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
    | ~ iext(uri_rdf_type,X4,uri_owl_AllDifferent) ),
    i_0_1 ).

cnf(c_0_1118,plain,
    ( uri_ex_w3 = uri_ex_w2
    | uri_ex_w3 = X1
    | uri_ex_w2 = X1
    | icext(uri_owl_AllDifferent,esk69_1(X2))
    | ~ iext(uri_rdf_rest,X2,esk193_0)
    | ~ iext(uri_rdf_first,X2,X1) ),
    inference(spm,[status(thm)],[c_0_1114,c_0_1115]) ).

cnf(c_0_1119,plain,
    iext(uri_rdf_first,esk192_0,uri_ex_w1),
    i_0_1068 ).

cnf(c_0_1120,plain,
    iext(uri_rdf_rest,esk192_0,esk193_0),
    i_0_1067 ).

cnf(c_0_1121,plain,
    ( X1 = X2
    | X1 = X3
    | X2 = X3
    | iext(uri_owl_members,esk69_1(X4),X4)
    | ~ iext(uri_rdf_rest,X4,esk193_0)
    | ~ iext(uri_rdf_first,esk193_0,X1)
    | ~ iext(uri_rdf_first,esk191_0,X2)
    | ~ iext(uri_rdf_first,X4,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1116,c_0_1110]),c_0_1111])]) ).

cnf(c_0_1122,negated_conjecture,
    ( ~ iext(uri_rdf_first,X1,uri_ex_w1)
    | ~ iext(uri_rdf_first,X2,uri_ex_w2)
    | ~ iext(uri_rdf_type,X3,uri_owl_AllDifferent)
    | ~ iext(uri_rdf_rest,X2,esk191_0)
    | ~ iext(uri_rdf_rest,X1,X2)
    | ~ iext(uri_owl_members,X3,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1117,c_0_1115]),c_0_1111])]) ).

cnf(c_0_1123,plain,
    ( iext(uri_rdf_type,X1,X2)
    | ~ icext(X2,X1) ),
    i_0_1094 ).

cnf(c_0_1124,plain,
    ( uri_ex_w1 = uri_ex_w2
    | uri_ex_w1 = uri_ex_w3
    | uri_ex_w3 = uri_ex_w2
    | icext(uri_owl_AllDifferent,esk69_1(esk192_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1118,c_0_1119]),c_0_1120])]) ).

cnf(c_0_1125,plain,
    ( uri_ex_w2 = X1
    | uri_ex_w2 = X2
    | X2 = X1
    | iext(uri_owl_members,esk69_1(X3),X3)
    | ~ iext(uri_rdf_rest,X3,esk193_0)
    | ~ iext(uri_rdf_first,esk191_0,X2)
    | ~ iext(uri_rdf_first,X3,X1) ),
    inference(spm,[status(thm)],[c_0_1121,c_0_1113]) ).

cnf(c_0_1126,plain,
    ( ~ iext(uri_rdf_first,X1,uri_ex_w1)
    | ~ iext(uri_rdf_type,X2,uri_owl_AllDifferent)
    | ~ iext(uri_rdf_rest,X1,esk193_0)
    | ~ iext(uri_owl_members,X2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1122,c_0_1113]),c_0_1110])]) ).

cnf(c_0_1127,plain,
    ( uri_ex_w3 = uri_ex_w2
    | uri_ex_w1 = uri_ex_w3
    | uri_ex_w1 = uri_ex_w2
    | iext(uri_rdf_type,esk69_1(esk192_0),uri_owl_AllDifferent) ),
    inference(spm,[status(thm)],[c_0_1123,c_0_1124]) ).

cnf(c_0_1128,plain,
    ( uri_ex_w3 = uri_ex_w2
    | uri_ex_w3 = X1
    | uri_ex_w2 = X1
    | iext(uri_owl_members,esk69_1(X2),X2)
    | ~ iext(uri_rdf_rest,X2,esk193_0)
    | ~ iext(uri_rdf_first,X2,X1) ),
    inference(spm,[status(thm)],[c_0_1125,c_0_1115]) ).

cnf(c_0_1129,plain,
    ( uri_ex_w1 = uri_ex_w2
    | uri_ex_w1 = uri_ex_w3
    | uri_ex_w3 = uri_ex_w2
    | ~ iext(uri_owl_members,esk69_1(esk192_0),X1)
    | ~ iext(uri_rdf_first,X1,uri_ex_w1)
    | ~ iext(uri_rdf_rest,X1,esk193_0) ),
    inference(spm,[status(thm)],[c_0_1126,c_0_1127]) ).

cnf(c_0_1130,plain,
    ( uri_ex_w1 = uri_ex_w2
    | uri_ex_w1 = uri_ex_w3
    | uri_ex_w3 = uri_ex_w2
    | iext(uri_owl_members,esk69_1(esk192_0),esk192_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1128,c_0_1119]),c_0_1120])]) ).

cnf(c_0_1131,plain,
    ( X1 != X2
    | ~ iext(uri_owl_differentFrom,X1,X2) ),
    i_0_377 ).

cnf(c_0_1132,plain,
    iext(uri_owl_differentFrom,uri_ex_w1,uri_ex_w3),
    i_0_1074 ).

cnf(c_0_1133,plain,
    ( uri_ex_w3 = uri_ex_w2
    | uri_ex_w1 = uri_ex_w3
    | uri_ex_w1 = uri_ex_w2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1129,c_0_1130]),c_0_1119]),c_0_1120])]) ).

cnf(c_0_1134,plain,
    ~ iext(uri_owl_differentFrom,X1,X1),
    inference(er,[status(thm)],[c_0_1131]) ).

cnf(c_0_1135,plain,
    iext(uri_owl_differentFrom,uri_ex_w1,uri_ex_w2),
    i_0_1075 ).

cnf(c_0_1136,plain,
    ( uri_ex_w1 = uri_ex_w2
    | uri_ex_w3 = uri_ex_w2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1132,c_0_1133]),c_0_1134]) ).

cnf(c_0_1137,plain,
    iext(uri_owl_differentFrom,uri_ex_w2,uri_ex_w3),
    i_0_1071 ).

cnf(c_0_1138,plain,
    uri_ex_w3 = uri_ex_w2,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1135,c_0_1136]),c_0_1134]) ).

cnf(c_0_1139,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1137,c_0_1138]),c_0_1134]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWB068+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n028.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  1 08:53:38 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  # 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
% 4.99/2.64  # ENIGMATIC: Solved by autoschedule-lgb:
% 4.99/2.64  # No SInE strategy applied
% 4.99/2.64  # Trying AutoSched0 for 150 seconds
% 4.99/2.64  # AutoSched0-Mode selected heuristic H_____102_C18_F1_PI_AE_CS_SP_PS_S0Y
% 4.99/2.64  # and selection function SelectMaxLComplexAvoidPosPred.
% 4.99/2.64  #
% 4.99/2.64  # Preprocessing time       : 0.025 s
% 4.99/2.64  # Presaturation interreduction done
% 4.99/2.64  
% 4.99/2.64  # Proof found!
% 4.99/2.64  # SZS status Theorem
% 4.99/2.64  # SZS output start CNFRefutation
% See solution above
% 4.99/2.64  # Training examples: 0 positive, 0 negative
% 4.99/2.64  
% 4.99/2.64  # -------------------------------------------------
% 4.99/2.64  # User time                : 0.042 s
% 4.99/2.64  # System time              : 0.004 s
% 4.99/2.64  # Total time               : 0.046 s
% 4.99/2.64  # Maximum resident set size: 7124 pages
% 4.99/2.64  
%------------------------------------------------------------------------------