TSTP Solution File: SWB018+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SWB018+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% 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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 19:36:15 EDT 2023

% Result   : Theorem 3.72s 1.13s
% Output   : CNFRefutation 3.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   23 (  11 unt;   0 def)
%            Number of atoms       :   56 (   6 equ)
%            Maximal formula atoms :   15 (   2 avg)
%            Number of connectives :   55 (  22   ~;  20   |;   9   &)
%                                         (   3 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   33 (   4 sgn;  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(owl_rdfsext_domain,axiom,
    ! [X2,X5] :
      ( iext(uri_rdfs_domain,X2,X5)
    <=> ( ip(X2)
        & ic(X5)
        & ! [X4,X7] :
            ( iext(X2,X4,X7)
           => icext(X5,X4) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.OnBbcpUHTj/E---3.1_4263.p',owl_rdfsext_domain) ).

fof(owl_eqdis_sameas,axiom,
    ! [X4,X7] :
      ( iext(uri_owl_sameAs,X4,X7)
    <=> X4 = X7 ),
    file('/export/starexec/sandbox/tmp/tmp.OnBbcpUHTj/E---3.1_4263.p',owl_eqdis_sameas) ).

fof(testcase_premise_fullish_018_Modified_Logical_Vocabulary_Semantics,axiom,
    ( iext(uri_rdfs_domain,uri_owl_sameAs,uri_ex_Person)
    & iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
    file('/export/starexec/sandbox/tmp/tmp.OnBbcpUHTj/E---3.1_4263.p',testcase_premise_fullish_018_Modified_Logical_Vocabulary_Semantics) ).

fof(testcase_conclusion_fullish_018_Modified_Logical_Vocabulary_Semantics,conjecture,
    iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
    file('/export/starexec/sandbox/tmp/tmp.OnBbcpUHTj/E---3.1_4263.p',testcase_conclusion_fullish_018_Modified_Logical_Vocabulary_Semantics) ).

fof(rdfs_cext_def,axiom,
    ! [X4,X5] :
      ( iext(uri_rdf_type,X4,X5)
    <=> icext(X5,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.OnBbcpUHTj/E---3.1_4263.p',rdfs_cext_def) ).

fof(c_0_5,plain,
    ! [X751,X752,X753,X754,X755,X756] :
      ( ( ip(X751)
        | ~ iext(uri_rdfs_domain,X751,X752) )
      & ( ic(X752)
        | ~ iext(uri_rdfs_domain,X751,X752) )
      & ( ~ iext(X751,X753,X754)
        | icext(X752,X753)
        | ~ iext(uri_rdfs_domain,X751,X752) )
      & ( iext(X755,esk105_2(X755,X756),esk106_2(X755,X756))
        | ~ ip(X755)
        | ~ ic(X756)
        | iext(uri_rdfs_domain,X755,X756) )
      & ( ~ icext(X756,esk105_2(X755,X756))
        | ~ ip(X755)
        | ~ ic(X756)
        | iext(uri_rdfs_domain,X755,X756) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_rdfsext_domain])])])])])]) ).

fof(c_0_6,plain,
    ! [X839,X840] :
      ( ( ~ iext(uri_owl_sameAs,X839,X840)
        | X839 = X840 )
      & ( X839 != X840
        | iext(uri_owl_sameAs,X839,X840) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_eqdis_sameas])]) ).

cnf(c_0_7,plain,
    ( icext(X4,X2)
    | ~ iext(X1,X2,X3)
    | ~ iext(uri_rdfs_domain,X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,plain,
    iext(uri_rdfs_domain,uri_owl_sameAs,uri_ex_Person),
    inference(split_conjunct,[status(thm)],[testcase_premise_fullish_018_Modified_Logical_Vocabulary_Semantics]) ).

cnf(c_0_9,plain,
    ( iext(uri_owl_sameAs,X1,X2)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_10,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_018_Modified_Logical_Vocabulary_Semantics])]) ).

cnf(c_0_11,plain,
    ( X1 = X2
    | ~ iext(uri_owl_sameAs,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_12,plain,
    iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
    inference(split_conjunct,[status(thm)],[testcase_premise_fullish_018_Modified_Logical_Vocabulary_Semantics]) ).

fof(c_0_13,plain,
    ! [X48,X49] :
      ( ( ~ iext(uri_rdf_type,X48,X49)
        | icext(X49,X48) )
      & ( ~ icext(X49,X48)
        | iext(uri_rdf_type,X48,X49) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])]) ).

cnf(c_0_14,plain,
    ( icext(uri_ex_Person,X1)
    | ~ iext(uri_owl_sameAs,X1,X2) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_15,plain,
    iext(uri_owl_sameAs,X1,X1),
    inference(er,[status(thm)],[c_0_9]) ).

cnf(c_0_16,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_17,plain,
    uri_ex_u = uri_ex_w,
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_18,plain,
    ( iext(uri_rdf_type,X2,X1)
    | ~ icext(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_19,plain,
    icext(uri_ex_Person,X1),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_20,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_w,uri_ex_Person),
    inference(rw,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_21,plain,
    iext(uri_rdf_type,X1,uri_ex_Person),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_22,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_21])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.18  % Problem    : SWB018+1 : TPTP v8.1.2. Released v5.2.0.
% 0.13/0.19  % Command    : run_E %s %d THM
% 0.19/0.41  % Computer : n029.cluster.edu
% 0.19/0.41  % Model    : x86_64 x86_64
% 0.19/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.41  % Memory   : 8042.1875MB
% 0.19/0.41  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.19/0.41  % CPULimit   : 2400
% 0.19/0.41  % WCLimit    : 300
% 0.19/0.41  % DateTime   : Mon Oct  2 20:43:22 EDT 2023
% 0.19/0.42  % CPUTime    : 
% 0.38/0.59  Running first-order theorem proving
% 0.38/0.59  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.OnBbcpUHTj/E---3.1_4263.p
% 3.72/1.13  # Version: 3.1pre001
% 3.72/1.13  # Preprocessing class: FSLMSMSLSSSNFFN.
% 3.72/1.13  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.72/1.13  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 3.72/1.13  # Starting new_bool_3 with 600s (2) cores
% 3.72/1.13  # Starting new_bool_1 with 600s (2) cores
% 3.72/1.13  # Starting sh5l with 300s (1) cores
% 3.72/1.13  # G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 4341 completed with status 0
% 3.72/1.13  # Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 3.72/1.13  # Preprocessing class: FSLMSMSLSSSNFFN.
% 3.72/1.13  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.72/1.13  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 3.72/1.13  # No SInE strategy applied
% 3.72/1.13  # Search class: FGHSM-SMLM33-SFFFFFNN
% 3.72/1.13  # partial match(1): FGHSM-SMLM33-DFFFFFNN
% 3.72/1.13  # Scheduled 6 strats onto 3 cores with 900 seconds (900 total)
% 3.72/1.13  # Starting SAT001_MinMin_p005000_rr with 487s (1) cores
% 3.72/1.13  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 91s (1) cores
% 3.72/1.13  # Starting SAT001_CA_MinMin_p005000_rr with 82s (1) cores
% 3.72/1.13  # G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 4355 completed with status 0
% 3.72/1.13  # Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 3.72/1.13  # Preprocessing class: FSLMSMSLSSSNFFN.
% 3.72/1.13  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.72/1.13  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 3.72/1.13  # No SInE strategy applied
% 3.72/1.13  # Search class: FGHSM-SMLM33-SFFFFFNN
% 3.72/1.13  # partial match(1): FGHSM-SMLM33-DFFFFFNN
% 3.72/1.13  # Scheduled 6 strats onto 3 cores with 900 seconds (900 total)
% 3.72/1.13  # Starting SAT001_MinMin_p005000_rr with 487s (1) cores
% 3.72/1.13  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 91s (1) cores
% 3.72/1.13  # Preprocessing time       : 0.010 s
% 3.72/1.13  
% 3.72/1.13  # Proof found!
% 3.72/1.13  # SZS status Theorem
% 3.72/1.13  # SZS output start CNFRefutation
% See solution above
% 3.72/1.13  # Parsed axioms                        : 560
% 3.72/1.13  # Removed by relevancy pruning/SinE    : 0
% 3.72/1.13  # Initial clauses                      : 1269
% 3.72/1.13  # Removed in clause preprocessing      : 111
% 3.72/1.13  # Initial clauses in saturation        : 1158
% 3.72/1.13  # Processed clauses                    : 3797
% 3.72/1.13  # ...of these trivial                  : 144
% 3.72/1.13  # ...subsumed                          : 1217
% 3.72/1.13  # ...remaining for further processing  : 2436
% 3.72/1.13  # Other redundant clauses eliminated   : 16
% 3.72/1.13  # Clauses deleted for lack of memory   : 0
% 3.72/1.13  # Backward-subsumed                    : 24
% 3.72/1.13  # Backward-rewritten                   : 4
% 3.72/1.13  # Generated clauses                    : 12630
% 3.72/1.13  # ...of the previous two non-redundant : 10805
% 3.72/1.13  # ...aggressively subsumed             : 0
% 3.72/1.13  # Contextual simplify-reflections      : 16
% 3.72/1.13  # Paramodulations                      : 12612
% 3.72/1.13  # Factorizations                       : 2
% 3.72/1.13  # NegExts                              : 0
% 3.72/1.13  # Equation resolutions                 : 16
% 3.72/1.13  # Total rewrite steps                  : 8975
% 3.72/1.13  # Propositional unsat checks           : 0
% 3.72/1.13  #    Propositional check models        : 0
% 3.72/1.13  #    Propositional check unsatisfiable : 0
% 3.72/1.13  #    Propositional clauses             : 0
% 3.72/1.13  #    Propositional clauses after purity: 0
% 3.72/1.13  #    Propositional unsat core size     : 0
% 3.72/1.13  #    Propositional preprocessing time  : 0.000
% 3.72/1.13  #    Propositional encoding time       : 0.000
% 3.72/1.13  #    Propositional solver time         : 0.000
% 3.72/1.13  #    Success case prop preproc time    : 0.000
% 3.72/1.13  #    Success case prop encoding time   : 0.000
% 3.72/1.13  #    Success case prop solver time     : 0.000
% 3.72/1.13  # Current number of processed clauses  : 2392
% 3.72/1.13  #    Positive orientable unit clauses  : 1005
% 3.72/1.13  #    Positive unorientable unit clauses: 0
% 3.72/1.13  #    Negative unit clauses             : 4
% 3.72/1.13  #    Non-unit-clauses                  : 1383
% 3.72/1.13  # Current number of unprocessed clauses: 8163
% 3.72/1.13  # ...number of literals in the above   : 44649
% 3.72/1.13  # Current number of archived formulas  : 0
% 3.72/1.13  # Current number of archived clauses   : 29
% 3.72/1.13  # Clause-clause subsumption calls (NU) : 921322
% 3.72/1.13  # Rec. Clause-clause subsumption calls : 184444
% 3.72/1.13  # Non-unit clause-clause subsumptions  : 1255
% 3.72/1.13  # Unit Clause-clause subsumption calls : 179285
% 3.72/1.13  # Rewrite failures with RHS unbound    : 0
% 3.72/1.13  # BW rewrite match attempts            : 790
% 3.72/1.13  # BW rewrite match successes           : 3
% 3.72/1.13  # Condensation attempts                : 0
% 3.72/1.13  # Condensation successes               : 0
% 3.72/1.13  # Termbank termtop insertions          : 317263
% 3.72/1.13  
% 3.72/1.13  # -------------------------------------------------
% 3.72/1.13  # User time                : 0.487 s
% 3.72/1.13  # System time              : 0.015 s
% 3.72/1.13  # Total time               : 0.502 s
% 3.72/1.13  # Maximum resident set size: 5740 pages
% 3.72/1.13  
% 3.72/1.13  # -------------------------------------------------
% 3.72/1.13  # User time                : 1.323 s
% 3.72/1.13  # System time              : 0.037 s
% 3.72/1.13  # Total time               : 1.360 s
% 3.72/1.13  # Maximum resident set size: 2232 pages
% 3.72/1.13  % E---3.1 exiting
% 3.72/1.13  % E---3.1 exiting
%------------------------------------------------------------------------------