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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SWB018+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 02:38:08 PM UTC 2026

% Result   : Theorem 2.34s 0.82s
% Output   : CNFRefutation 2.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   21 (  10 unt;   0 def)
%            Number of atoms       :   53 (   4 equ)
%            Maximal formula atoms :   15 (   2 avg)
%            Number of connectives :   54 (  22   ~;  19   |;   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   :   31 (   4 sgn  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(owl_rdfsext_domain,axiom,
    ! [X2,X5] :
      ( iext(uri_rdfs_domain,X2,X5)
    <=> ( ! [X4,X7] :
            ( iext(X2,X4,X7)
           => icext(X5,X4) )
        & ic(X5)
        & ip(X2) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_rdfsext_domain) ).

fof(owl_eqdis_sameas,axiom,
    ! [X4,X7] :
      ( iext(uri_owl_sameAs,X4,X7)
    <=> X4 = X7 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_eqdis_sameas) ).

fof(testcase_conclusion_fullish_018_Modified_Logical_Vocabulary_Semantics,conjecture,
    iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_018_Modified_Logical_Vocabulary_Semantics) ).

fof(testcase_premise_fullish_018_Modified_Logical_Vocabulary_Semantics,axiom,
    ( iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)
    & iext(uri_rdfs_domain,uri_owl_sameAs,uri_ex_Person) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_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/sandbox2/benchmark/Axioms/SWB001+0.ax',rdfs_cext_def) ).

fof(c_0_5,plain,
    ! [X59,X60,X61,X62,X63,X64] :
      ( ( iext(uri_rdfs_domain,X63,X64)
        | ~ ic(X64)
        | ~ ip(X63)
        | ~ icext(X64,esk1_2(X63,X64)) )
      & ( iext(uri_rdfs_domain,X63,X64)
        | ~ ic(X64)
        | ~ ip(X63)
        | iext(X63,esk1_2(X63,X64),esk2_2(X63,X64)) )
      & ( ~ iext(uri_rdfs_domain,X59,X60)
        | icext(X60,X61)
        | ~ iext(X59,X61,X62) )
      & ( ~ iext(uri_rdfs_domain,X59,X60)
        | ic(X60) )
      & ( ~ iext(uri_rdfs_domain,X59,X60)
        | ip(X59) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[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,
    ! [X77,X78] :
      ( ( iext(uri_owl_sameAs,X77,X78)
        | X77 != X78 )
      & ( X77 = X78
        | ~ iext(uri_owl_sameAs,X77,X78) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_eqdis_sameas])])]) ).

fof(c_0_7,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
    inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_018_Modified_Logical_Vocabulary_Semantics]) ).

cnf(c_0_8,plain,
    ( ~ iext(uri_rdfs_domain,X1,X4)
    | ~ iext(X1,X2,X3)
    | icext(X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,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_10,plain,
    ( X1 != X2
    | iext(uri_owl_sameAs,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_11,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

fof(c_0_12,plain,
    ! [X46,X47] :
      ( ( iext(uri_rdf_type,X46,X47)
        | ~ icext(X47,X46) )
      & ( icext(X47,X46)
        | ~ iext(uri_rdf_type,X46,X47) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])])]) ).

cnf(c_0_13,plain,
    ( ~ iext(uri_owl_sameAs,X1,X2)
    | icext(uri_ex_Person,X1) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_14,plain,
    iext(uri_owl_sameAs,X1,X1),
    inference(er,[status(thm)],[c_0_10]) ).

fof(c_0_15,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
    inference(fof_nnf,[status(thm)],[c_0_11]) ).

cnf(c_0_16,plain,
    ( ~ icext(X1,X2)
    | iext(uri_rdf_type,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_17,plain,
    icext(uri_ex_Person,X1),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_18,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_19,plain,
    iext(uri_rdf_type,X1,uri_ex_Person),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_20,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_19])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB018+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.35  % Computer : n018.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Mon Sep 21 07:41:59 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.36  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.43  Running first-order theorem proving
% 0.13/0.43  Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 2.34/0.82  % Version: 3.5.1
% 2.34/0.82  % Preprocessing class: FSLMSMSLSSSNFFN.
% 2.34/0.82  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.34/0.82  % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 2.34/0.82  % Starting new_bool_3 with 600s (2) cores
% 2.34/0.82  % Starting new_bool_1 with 600s (2) cores
% 2.34/0.82  % Starting sh5l with 300s (1) cores
% 2.34/0.82  % sh5l with pid 1364160 completed with status 0
% 2.34/0.82  % Result found by sh5l
% 2.34/0.82  % Preprocessing class: FSLMSMSLSSSNFFN.
% 2.34/0.82  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.34/0.82  % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 2.34/0.82  % Starting new_bool_3 with 600s (2) cores
% 2.34/0.82  % Starting new_bool_1 with 600s (2) cores
% 2.34/0.82  % Starting sh5l with 300s (1) cores
% 2.34/0.82  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 2.34/0.82  % SinE strategy is gf500_gu_R04_F100_L20000
% 2.34/0.82  % Search class: FGHSF-FMLM33-SFFFFFNN
% 2.34/0.82  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 2.34/0.82  % Starting SubtermCWHack with 31s (1) cores
% 2.34/0.82  % SubtermCWHack with pid 1364177 completed with status 0
% 2.34/0.82  % Result found by SubtermCWHack
% 2.34/0.82  % Preprocessing class: FSLMSMSLSSSNFFN.
% 2.34/0.82  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.34/0.82  % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 2.34/0.82  % Starting new_bool_3 with 600s (2) cores
% 2.34/0.82  % Starting new_bool_1 with 600s (2) cores
% 2.34/0.82  % Starting sh5l with 300s (1) cores
% 2.34/0.82  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 2.34/0.82  % SinE strategy is gf500_gu_R04_F100_L20000
% 2.34/0.82  % Search class: FGHSF-FMLM33-SFFFFFNN
% 2.34/0.82  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 2.34/0.82  % Starting SubtermCWHack with 31s (1) cores
% 2.34/0.82  % Preprocessing time       : 0.013 s
% 2.34/0.82  
% 2.34/0.82  % Proof found!
% 2.34/0.82  % SZS status Theorem
% 2.34/0.82  % SZS output start CNFRefutation
% See solution above
% 2.34/0.82  % Parsed axioms                        : 560
% 2.34/0.82  % Removed by relevancy pruning/SinE    : 213
% 2.34/0.82  % Initial clauses                      : 955
% 2.34/0.82  % Removed in clause preprocessing      : 40
% 2.34/0.82  % Initial clauses in saturation        : 915
% 2.34/0.82  % Processed clauses                    : 3073
% 2.34/0.82  % ...of these trivial                  : 69
% 2.34/0.82  % ...subsumed                          : 996
% 2.34/0.82  % ...remaining for further processing  : 2008
% 2.34/0.82  % Other redundant clauses eliminated   : 6
% 2.34/0.82  % Clauses deleted for lack of memory   : 0
% 2.34/0.82  % Backward-subsumed                    : 82
% 2.34/0.82  % Backward-rewritten                   : 4
% 2.34/0.82  % Generated clauses                    : 11058
% 2.34/0.82  % ...of the previous two non-redundant : 9196
% 2.34/0.82  % ...aggressively subsumed             : 0
% 2.34/0.82  % Contextual simplify-reflections      : 3
% 2.34/0.82  % Paramodulations                      : 11052
% 2.34/0.82  % Factorizations                       : 0
% 2.34/0.82  % NegExts                              : 0
% 2.34/0.82  % Equation resolutions                 : 6
% 2.34/0.82  % Disequality decompositions           : 0
% 2.34/0.82  % Total rewrite steps                  : 4136
% 2.34/0.82  % ...of those cached                   : 3709
% 2.34/0.82  % Propositional unsat checks           : 0
% 2.34/0.82  %    Propositional check models        : 0
% 2.34/0.82  %    Propositional check unsatisfiable : 0
% 2.34/0.82  %    Propositional clauses             : 0
% 2.34/0.82  %    Propositional clauses after purity: 0
% 2.34/0.82  %    Propositional unsat core size     : 0
% 2.34/0.82  %    Propositional preprocessing time  : 0.000
% 2.34/0.82  %    Propositional encoding time       : 0.000
% 2.34/0.82  %    Propositional solver time         : 0.000
% 2.34/0.82  %    Success case prop preproc time    : 0.000
% 2.34/0.82  %    Success case prop encoding time   : 0.000
% 2.34/0.82  %    Success case prop solver time     : 0.000
% 2.34/0.82  % Current number of processed clauses  : 1916
% 2.34/0.82  %    Positive orientable unit clauses  : 598
% 2.34/0.82  %    Positive unorientable unit clauses: 0
% 2.34/0.82  %    Negative unit clauses             : 30
% 2.34/0.82  %    Non-unit-clauses                  : 1288
% 2.34/0.82  % Current number of unprocessed clauses: 7032
% 2.34/0.82  % ...number of literals in the above   : 26319
% 2.34/0.82  % Current number of archived formulas  : 0
% 2.34/0.82  % Current number of archived clauses   : 86
% 2.34/0.82  % Clause-clause subsumption calls (NU) : 256532
% 2.34/0.82  % Rec. Clause-clause subsumption calls : 178290
% 2.34/0.82  % Non-unit clause-clause subsumptions  : 769
% 2.34/0.82  % Unit Clause-clause subsumption calls : 11728
% 2.34/0.82  % Rewrite failures with RHS unbound    : 0
% 2.34/0.82  % BW rewrite match attempts            : 368
% 2.34/0.82  % BW rewrite match successes           : 4
% 2.34/0.82  % Condensation attempts                : 0
% 2.34/0.82  % Condensation successes               : 0
% 2.34/0.82  % Termbank termtop insertions          : 181914
% 2.34/0.82  % Search garbage collected termcells   : 17297
% 2.34/0.82  
% 2.34/0.82  % -------------------------------------------------
% 2.34/0.82  % User time                : 0.276 s
% 2.34/0.82  % System time              : 0.024 s
% 2.34/0.82  % Total time               : 0.300 s
% 2.34/0.82  % Maximum resident set size: 6996 pages
% 2.34/0.82  
% 2.34/0.82  % -------------------------------------------------
% 2.34/0.82  % User time                : 0.291 s
% 2.34/0.82  % System time              : 0.032 s
% 2.34/0.82  % Total time               : 0.322 s
% 2.34/0.82  % Maximum resident set size: 5120 pages
% 2.34/0.82  % E exiting
%------------------------------------------------------------------------------