TSTP Solution File: SWB012+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWB012+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n027.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 18:58:31 EDT 2022

% Result   : Theorem 7.29s 2.36s
% Output   : CNFRefutation 7.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   18
% Syntax   : Number of clauses     :   61 (  30 unt;   0 nHn;  61 RR)
%            Number of literals    :  169 (   0 equ; 111 neg)
%            Maximal clause size   :    9 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   20 (  20 usr;  19 con; 0-1 aty)
%            Number of variables   :  117 (  27 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_9,plain,
    ( icext(X1,X2)
    | ~ icext(X3,X2)
    | ~ iext(uri_rdf_first,X4,X1)
    | ~ iext(uri_rdf_first,X5,X6)
    | ~ iext(uri_rdf_first,X7,X8)
    | ~ iext(uri_rdf_rest,X5,X4)
    | ~ iext(uri_rdf_rest,X7,X5)
    | ~ iext(uri_owl_intersectionOf,X3,X7)
    | ~ iext(uri_rdf_rest,X4,uri_rdf_nil) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ik3ghd32/lgb.p',i_0_9) ).

cnf(i_0_24,plain,
    iext(uri_rdf_rest,esk4_0,uri_rdf_nil),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ik3ghd32/lgb.p',i_0_24) ).

cnf(i_0_26,plain,
    iext(uri_rdf_rest,esk3_0,esk4_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ik3ghd32/lgb.p',i_0_26) ).

cnf(i_0_25,plain,
    iext(uri_rdf_first,esk4_0,esk5_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ik3ghd32/lgb.p',i_0_25) ).

cnf(i_0_10,plain,
    ( icext(X1,X2)
    | ~ icext(X3,X2)
    | ~ iext(uri_rdf_first,X4,X5)
    | ~ iext(uri_rdf_first,X6,X1)
    | ~ iext(uri_rdf_first,X7,X8)
    | ~ iext(uri_rdf_rest,X6,X4)
    | ~ iext(uri_rdf_rest,X7,X6)
    | ~ iext(uri_owl_intersectionOf,X3,X7)
    | ~ iext(uri_rdf_rest,X4,uri_rdf_nil) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ik3ghd32/lgb.p',i_0_10) ).

cnf(i_0_28,plain,
    iext(uri_rdf_rest,esk2_0,esk3_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ik3ghd32/lgb.p',i_0_28) ).

cnf(i_0_27,plain,
    iext(uri_rdf_first,esk3_0,uri_owl_FunctionalProperty),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ik3ghd32/lgb.p',i_0_27) ).

cnf(i_0_29,plain,
    iext(uri_rdf_first,esk2_0,uri_owl_DatatypeProperty),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ik3ghd32/lgb.p',i_0_29) ).

cnf(i_0_30,plain,
    iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,esk2_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ik3ghd32/lgb.p',i_0_30) ).

cnf(i_0_2,plain,
    ( icext(X1,X2)
    | ~ iext(uri_rdf_type,X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ik3ghd32/lgb.p',i_0_2) ).

cnf(i_0_20,plain,
    iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ik3ghd32/lgb.p',i_0_20) ).

cnf(i_0_17,plain,
    ( iext(X1,X2,X3)
    | ~ icext(X4,X2)
    | ~ iext(uri_owl_hasValue,X4,X3)
    | ~ iext(uri_owl_onProperty,X4,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ik3ghd32/lgb.p',i_0_17) ).

cnf(i_0_22,plain,
    iext(uri_owl_onProperty,esk5_0,uri_rdfs_domain),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ik3ghd32/lgb.p',i_0_22) ).

cnf(i_0_21,plain,
    iext(uri_owl_hasValue,esk5_0,uri_foaf_Person),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ik3ghd32/lgb.p',i_0_21) ).

cnf(i_0_3,plain,
    ( icext(X1,X2)
    | ~ iext(X3,X2,X4)
    | ~ iext(uri_rdfs_domain,X3,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ik3ghd32/lgb.p',i_0_3) ).

cnf(i_0_1,plain,
    ( iext(uri_rdf_type,X1,X2)
    | ~ icext(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ik3ghd32/lgb.p',i_0_1) ).

cnf(i_0_19,plain,
    iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ik3ghd32/lgb.p',i_0_19) ).

cnf(i_0_18,negated_conjecture,
    ( ~ iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty)
    | ~ iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ik3ghd32/lgb.p',i_0_18) ).

cnf(c_0_49,plain,
    ( icext(X1,X2)
    | ~ icext(X3,X2)
    | ~ iext(uri_rdf_first,X4,X1)
    | ~ iext(uri_rdf_first,X5,X6)
    | ~ iext(uri_rdf_first,X7,X8)
    | ~ iext(uri_rdf_rest,X5,X4)
    | ~ iext(uri_rdf_rest,X7,X5)
    | ~ iext(uri_owl_intersectionOf,X3,X7)
    | ~ iext(uri_rdf_rest,X4,uri_rdf_nil) ),
    i_0_9 ).

cnf(c_0_50,plain,
    iext(uri_rdf_rest,esk4_0,uri_rdf_nil),
    i_0_24 ).

cnf(c_0_51,plain,
    ( icext(X1,X2)
    | ~ icext(X3,X2)
    | ~ iext(uri_rdf_rest,X4,esk4_0)
    | ~ iext(uri_rdf_first,esk4_0,X1)
    | ~ iext(uri_rdf_rest,X5,X4)
    | ~ iext(uri_rdf_first,X5,X6)
    | ~ iext(uri_rdf_first,X4,X7)
    | ~ iext(uri_owl_intersectionOf,X3,X5) ),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_52,plain,
    iext(uri_rdf_rest,esk3_0,esk4_0),
    i_0_26 ).

cnf(c_0_53,plain,
    ( icext(X1,X2)
    | ~ icext(X3,X2)
    | ~ iext(uri_rdf_first,esk4_0,X1)
    | ~ iext(uri_rdf_rest,X4,esk3_0)
    | ~ iext(uri_rdf_first,esk3_0,X5)
    | ~ iext(uri_rdf_first,X4,X6)
    | ~ iext(uri_owl_intersectionOf,X3,X4) ),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_54,plain,
    iext(uri_rdf_first,esk4_0,esk5_0),
    i_0_25 ).

cnf(c_0_55,plain,
    ( icext(X1,X2)
    | ~ icext(X3,X2)
    | ~ iext(uri_rdf_first,X4,X5)
    | ~ iext(uri_rdf_first,X6,X1)
    | ~ iext(uri_rdf_first,X7,X8)
    | ~ iext(uri_rdf_rest,X6,X4)
    | ~ iext(uri_rdf_rest,X7,X6)
    | ~ iext(uri_owl_intersectionOf,X3,X7)
    | ~ iext(uri_rdf_rest,X4,uri_rdf_nil) ),
    i_0_10 ).

cnf(c_0_56,plain,
    ( icext(esk5_0,X1)
    | ~ icext(X2,X1)
    | ~ iext(uri_rdf_rest,X3,esk3_0)
    | ~ iext(uri_rdf_first,esk3_0,X4)
    | ~ iext(uri_rdf_first,X3,X5)
    | ~ iext(uri_owl_intersectionOf,X2,X3) ),
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_57,plain,
    iext(uri_rdf_rest,esk2_0,esk3_0),
    i_0_28 ).

cnf(c_0_58,plain,
    ( icext(X1,X2)
    | ~ icext(X3,X2)
    | ~ iext(uri_rdf_rest,X4,esk4_0)
    | ~ iext(uri_rdf_first,esk4_0,X5)
    | ~ iext(uri_rdf_rest,X6,X4)
    | ~ iext(uri_rdf_first,X6,X7)
    | ~ iext(uri_rdf_first,X4,X1)
    | ~ iext(uri_owl_intersectionOf,X3,X6) ),
    inference(spm,[status(thm)],[c_0_55,c_0_50]) ).

cnf(c_0_59,plain,
    ( icext(esk5_0,X1)
    | ~ icext(X2,X1)
    | ~ iext(uri_rdf_first,esk3_0,X3)
    | ~ iext(uri_rdf_first,esk2_0,X4)
    | ~ iext(uri_owl_intersectionOf,X2,esk2_0) ),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

cnf(c_0_60,plain,
    iext(uri_rdf_first,esk3_0,uri_owl_FunctionalProperty),
    i_0_27 ).

cnf(c_0_61,plain,
    ( icext(X1,X2)
    | ~ icext(X3,X2)
    | ~ iext(uri_rdf_first,esk4_0,X4)
    | ~ iext(uri_rdf_rest,X5,esk3_0)
    | ~ iext(uri_rdf_first,esk3_0,X1)
    | ~ iext(uri_rdf_first,X5,X6)
    | ~ iext(uri_owl_intersectionOf,X3,X5) ),
    inference(spm,[status(thm)],[c_0_58,c_0_52]) ).

cnf(c_0_62,plain,
    ( icext(esk5_0,X1)
    | ~ icext(X2,X1)
    | ~ iext(uri_rdf_first,esk2_0,X3)
    | ~ iext(uri_owl_intersectionOf,X2,esk2_0) ),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_63,plain,
    iext(uri_rdf_first,esk2_0,uri_owl_DatatypeProperty),
    i_0_29 ).

cnf(c_0_64,plain,
    ( icext(X1,X2)
    | ~ icext(X3,X2)
    | ~ iext(uri_rdf_rest,X4,esk3_0)
    | ~ iext(uri_rdf_first,esk3_0,X1)
    | ~ iext(uri_rdf_first,X4,X5)
    | ~ iext(uri_owl_intersectionOf,X3,X4) ),
    inference(spm,[status(thm)],[c_0_61,c_0_54]) ).

cnf(c_0_65,plain,
    ( icext(esk5_0,X1)
    | ~ icext(X2,X1)
    | ~ iext(uri_owl_intersectionOf,X2,esk2_0) ),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_66,plain,
    iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,esk2_0),
    i_0_30 ).

cnf(c_0_67,plain,
    ( icext(X1,X2)
    | ~ iext(uri_rdf_type,X2,X1) ),
    i_0_2 ).

cnf(c_0_68,plain,
    iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute),
    i_0_20 ).

cnf(c_0_69,plain,
    ( icext(X1,X2)
    | ~ icext(X3,X2)
    | ~ iext(uri_rdf_first,esk3_0,X1)
    | ~ iext(uri_rdf_first,esk2_0,X4)
    | ~ iext(uri_owl_intersectionOf,X3,esk2_0) ),
    inference(spm,[status(thm)],[c_0_64,c_0_57]) ).

cnf(c_0_70,plain,
    ( iext(X1,X2,X3)
    | ~ icext(X4,X2)
    | ~ iext(uri_owl_hasValue,X4,X3)
    | ~ iext(uri_owl_onProperty,X4,X1) ),
    i_0_17 ).

cnf(c_0_71,plain,
    iext(uri_owl_onProperty,esk5_0,uri_rdfs_domain),
    i_0_22 ).

cnf(c_0_72,plain,
    ( icext(esk5_0,X1)
    | ~ icext(uri_ex_PersonAttribute,X1) ),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_73,plain,
    icext(uri_ex_PersonAttribute,uri_ex_name),
    inference(spm,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_74,plain,
    ( icext(uri_owl_FunctionalProperty,X1)
    | ~ icext(X2,X1)
    | ~ iext(uri_rdf_first,esk2_0,X3)
    | ~ iext(uri_owl_intersectionOf,X2,esk2_0) ),
    inference(spm,[status(thm)],[c_0_69,c_0_60]) ).

cnf(c_0_75,plain,
    ( iext(uri_rdfs_domain,X1,X2)
    | ~ icext(esk5_0,X1)
    | ~ iext(uri_owl_hasValue,esk5_0,X2) ),
    inference(spm,[status(thm)],[c_0_70,c_0_71]) ).

cnf(c_0_76,plain,
    icext(esk5_0,uri_ex_name),
    inference(spm,[status(thm)],[c_0_72,c_0_73]) ).

cnf(c_0_77,plain,
    ( icext(uri_owl_FunctionalProperty,X1)
    | ~ icext(X2,X1)
    | ~ iext(uri_owl_intersectionOf,X2,esk2_0) ),
    inference(spm,[status(thm)],[c_0_74,c_0_63]) ).

cnf(c_0_78,plain,
    ( iext(uri_rdfs_domain,uri_ex_name,X1)
    | ~ iext(uri_owl_hasValue,esk5_0,X1) ),
    inference(spm,[status(thm)],[c_0_75,c_0_76]) ).

cnf(c_0_79,plain,
    iext(uri_owl_hasValue,esk5_0,uri_foaf_Person),
    i_0_21 ).

cnf(c_0_80,plain,
    ( icext(uri_owl_FunctionalProperty,X1)
    | ~ icext(uri_ex_PersonAttribute,X1) ),
    inference(spm,[status(thm)],[c_0_77,c_0_66]) ).

cnf(c_0_81,plain,
    ( icext(X1,X2)
    | ~ iext(X3,X2,X4)
    | ~ iext(uri_rdfs_domain,X3,X1) ),
    i_0_3 ).

cnf(c_0_82,plain,
    iext(uri_rdfs_domain,uri_ex_name,uri_foaf_Person),
    inference(spm,[status(thm)],[c_0_78,c_0_79]) ).

cnf(c_0_83,plain,
    ( iext(uri_rdf_type,X1,X2)
    | ~ icext(X2,X1) ),
    i_0_1 ).

cnf(c_0_84,plain,
    icext(uri_owl_FunctionalProperty,uri_ex_name),
    inference(spm,[status(thm)],[c_0_80,c_0_73]) ).

cnf(c_0_85,plain,
    ( icext(uri_foaf_Person,X1)
    | ~ iext(uri_ex_name,X1,X2) ),
    inference(spm,[status(thm)],[c_0_81,c_0_82]) ).

cnf(c_0_86,plain,
    iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice)),
    i_0_19 ).

cnf(c_0_87,negated_conjecture,
    ( ~ iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty)
    | ~ iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person) ),
    i_0_18 ).

cnf(c_0_88,plain,
    iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty),
    inference(spm,[status(thm)],[c_0_83,c_0_84]) ).

cnf(c_0_89,plain,
    icext(uri_foaf_Person,uri_ex_alice),
    inference(spm,[status(thm)],[c_0_85,c_0_86]) ).

cnf(c_0_90,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_88])]) ).

cnf(c_0_91,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_89]),c_0_90]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWB012+2 : TPTP v8.1.0. Released v5.2.0.
% 0.06/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n027.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  1 05:52:35 EDT 2022
% 0.12/0.35  % CPUTime  : 
% 0.19/0.46  # ENIGMATIC: Selected complete mode:
% 7.29/2.36  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.29/2.36  # No SInE strategy applied
% 7.29/2.36  # Trying AutoSched0 for 150 seconds
% 7.29/2.36  # AutoSched0-Mode selected heuristic H_____047_C18_F1_PI_AE_R8_CS_SP_S2S
% 7.29/2.36  # and selection function SelectNewComplexAHP.
% 7.29/2.36  #
% 7.29/2.36  # Preprocessing time       : 0.023 s
% 7.29/2.36  
% 7.29/2.36  # Proof found!
% 7.29/2.36  # SZS status Theorem
% 7.29/2.36  # SZS output start CNFRefutation
% See solution above
% 7.29/2.36  # Training examples: 0 positive, 0 negative
% 7.29/2.36  
% 7.29/2.36  # -------------------------------------------------
% 7.29/2.36  # User time                : 0.025 s
% 7.29/2.36  # System time              : 0.008 s
% 7.29/2.36  # Total time               : 0.032 s
% 7.29/2.36  # Maximum resident set size: 7128 pages
% 7.29/2.36  
%------------------------------------------------------------------------------