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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SWB043+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 : n002.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 02:38:33 PM UTC 2026

% Result   : Theorem 0.24s 0.60s
% Output   : CNFRefutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   32 (  11 unt;   0 def)
%            Number of atoms       :  114 (   0 equ)
%            Maximal formula atoms :   25 (   3 avg)
%            Number of connectives :  139 (  57   ~;  56   |;  19   &)
%                                         (   2 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   9 con; 0-3 aty)
%            Number of variables   :   57 (   5 sgn  30   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(owl_chain_001,axiom,
    ! [X2,X12,X33] :
      ( ( iext(uri_rdf_rest,X12,uri_rdf_nil)
        & iext(uri_rdf_first,X12,X33) )
     => ( iext(uri_owl_propertyChainAxiom,X2,X12)
      <=> ( ! [X36,X27] :
              ( iext(X33,X36,X27)
             => iext(X2,X36,X27) )
          & ip(X33)
          & ip(X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_chain_001) ).

fof(premise_rdfbased_sem_chain_subprop,axiom,
    ? [X42] :
      ( iext(uri_rdf_rest,X42,uri_rdf_nil)
      & iext(uri_rdf_first,X42,uri_ex_p1)
      & iext(uri_owl_propertyChainAxiom,uri_ex_p,X42) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_rdfbased_sem_chain_subprop) ).

fof(owl_rdfsext_subpropertyof,axiom,
    ! [X33,X34] :
      ( iext(uri_rdfs_subPropertyOf,X33,X34)
    <=> ( ! [X4,X7] :
            ( iext(X33,X4,X7)
           => iext(X34,X4,X7) )
        & ip(X34)
        & ip(X33) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_rdfsext_subpropertyof) ).

fof(simple_iext_property,axiom,
    ! [X1,X2,X3] :
      ( iext(X2,X1,X3)
     => ip(X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',simple_iext_property) ).

fof(conclusion_rdfbased_sem_chain_subprop,conjecture,
    iext(uri_rdfs_subPropertyOf,uri_ex_p1,uri_ex_p),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_rdfbased_sem_chain_subprop) ).

fof(owl_prop_propertychainaxiom_ext,axiom,
    ! [X4,X7] :
      ( iext(uri_owl_propertyChainAxiom,X4,X7)
     => ( icext(uri_rdf_List,X7)
        & ip(X4) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_prop_propertychainaxiom_ext) ).

fof(c_0_6,plain,
    ! [X66,X67,X68,X69,X70] :
      ( ( ~ iext(uri_rdf_rest,X67,uri_rdf_nil)
        | ~ iext(uri_rdf_first,X67,X68)
        | iext(uri_owl_propertyChainAxiom,X66,X67)
        | ~ ip(X68)
        | ~ ip(X66)
        | ~ iext(X66,esk5_3(X66,X67,X68),esk6_3(X66,X67,X68)) )
      & ( ~ iext(uri_rdf_rest,X67,uri_rdf_nil)
        | ~ iext(uri_rdf_first,X67,X68)
        | iext(uri_owl_propertyChainAxiom,X66,X67)
        | ~ ip(X68)
        | ~ ip(X66)
        | iext(X68,esk5_3(X66,X67,X68),esk6_3(X66,X67,X68)) )
      & ( ~ iext(uri_rdf_rest,X67,uri_rdf_nil)
        | ~ iext(uri_rdf_first,X67,X68)
        | ~ iext(uri_owl_propertyChainAxiom,X66,X67)
        | iext(X66,X69,X70)
        | ~ iext(X68,X69,X70) )
      & ( ~ iext(uri_rdf_rest,X67,uri_rdf_nil)
        | ~ iext(uri_rdf_first,X67,X68)
        | ~ iext(uri_owl_propertyChainAxiom,X66,X67)
        | ip(X68) )
      & ( ~ iext(uri_rdf_rest,X67,uri_rdf_nil)
        | ~ iext(uri_rdf_first,X67,X68)
        | ~ iext(uri_owl_propertyChainAxiom,X66,X67)
        | ip(X66) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_chain_001])])])])])]) ).

fof(c_0_7,plain,
    ( iext(uri_rdf_rest,esk1_0,uri_rdf_nil)
    & iext(uri_rdf_first,esk1_0,uri_ex_p1)
    & iext(uri_owl_propertyChainAxiom,uri_ex_p,esk1_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[premise_rdfbased_sem_chain_subprop])]) ).

fof(c_0_8,plain,
    ! [X52,X53,X54,X55,X56,X57] :
      ( ( iext(uri_rdfs_subPropertyOf,X56,X57)
        | ~ ip(X57)
        | ~ ip(X56)
        | ~ iext(X57,esk2_2(X56,X57),esk3_2(X56,X57)) )
      & ( iext(uri_rdfs_subPropertyOf,X56,X57)
        | ~ ip(X57)
        | ~ ip(X56)
        | iext(X56,esk2_2(X56,X57),esk3_2(X56,X57)) )
      & ( ~ iext(uri_rdfs_subPropertyOf,X52,X53)
        | iext(X53,X54,X55)
        | ~ iext(X52,X54,X55) )
      & ( ~ iext(uri_rdfs_subPropertyOf,X52,X53)
        | ip(X53) )
      & ( ~ iext(uri_rdfs_subPropertyOf,X52,X53)
        | ip(X52) ) ),
    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_subpropertyof])])])])])])]) ).

fof(c_0_9,plain,
    ! [X114,X115,X116] :
      ( ip(X115)
      | ~ iext(X115,X114,X116) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[simple_iext_property])])]) ).

cnf(c_0_10,plain,
    ( ~ iext(uri_rdf_rest,X5,uri_rdf_nil)
    | ~ iext(uri_rdf_first,X5,X1)
    | ~ iext(uri_owl_propertyChainAxiom,X4,X5)
    | ~ iext(X1,X2,X3)
    | iext(X4,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_11,plain,
    iext(uri_rdf_first,esk1_0,uri_ex_p1),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,plain,
    iext(uri_rdf_rest,esk1_0,uri_rdf_nil),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

fof(c_0_13,negated_conjecture,
    ~ iext(uri_rdfs_subPropertyOf,uri_ex_p1,uri_ex_p),
    inference(assume_negation,[status(cth)],[conclusion_rdfbased_sem_chain_subprop]) ).

cnf(c_0_14,plain,
    ( ~ ip(X1)
    | ~ ip(X2)
    | ~ iext(X1,esk2_2(X2,X1),esk3_2(X2,X1))
    | iext(uri_rdfs_subPropertyOf,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_15,plain,
    ( ~ iext(X1,X2,X3)
    | ip(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_16,plain,
    ( ~ iext(uri_ex_p1,X2,X3)
    | ~ iext(uri_owl_propertyChainAxiom,X1,esk1_0)
    | iext(X1,X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]) ).

cnf(c_0_17,plain,
    iext(uri_owl_propertyChainAxiom,uri_ex_p,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_18,plain,
    ( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
    | ~ iext(uri_rdf_first,X3,X1)
    | ~ iext(uri_owl_propertyChainAxiom,X2,X3)
    | ip(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_19,plain,
    ! [X60,X61] :
      ( ( ~ iext(uri_owl_propertyChainAxiom,X60,X61)
        | icext(uri_rdf_List,X61) )
      & ( ~ iext(uri_owl_propertyChainAxiom,X60,X61)
        | ip(X60) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_prop_propertychainaxiom_ext])])])]) ).

fof(c_0_20,negated_conjecture,
    ~ iext(uri_rdfs_subPropertyOf,uri_ex_p1,uri_ex_p),
    inference(fof_simplification,[status(thm)],[c_0_13]) ).

cnf(c_0_21,plain,
    ( ~ iext(X2,esk2_2(X1,X2),esk3_2(X1,X2))
    | ~ ip(X1)
    | iext(uri_rdfs_subPropertyOf,X1,X2) ),
    inference(csr,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_22,plain,
    ( ~ iext(uri_ex_p1,X1,X2)
    | iext(uri_ex_p,X1,X2) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_23,plain,
    ( ~ iext(uri_owl_propertyChainAxiom,X1,esk1_0)
    | ip(uri_ex_p1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_11]),c_0_12])]) ).

cnf(c_0_24,plain,
    ( ~ iext(uri_owl_propertyChainAxiom,X1,X2)
    | ip(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

fof(c_0_25,negated_conjecture,
    ~ iext(uri_rdfs_subPropertyOf,uri_ex_p1,uri_ex_p),
    inference(fof_nnf,[status(thm)],[c_0_20]) ).

cnf(c_0_26,plain,
    ( ~ iext(uri_ex_p1,esk2_2(X1,uri_ex_p),esk3_2(X1,uri_ex_p))
    | ~ ip(X1)
    | iext(uri_rdfs_subPropertyOf,X1,uri_ex_p) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_27,plain,
    ( ~ ip(X2)
    | ~ ip(X1)
    | iext(uri_rdfs_subPropertyOf,X1,X2)
    | iext(X1,esk2_2(X1,X2),esk3_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_28,plain,
    ip(uri_ex_p1),
    inference(spm,[status(thm)],[c_0_23,c_0_17]) ).

cnf(c_0_29,plain,
    ip(uri_ex_p),
    inference(spm,[status(thm)],[c_0_24,c_0_17]) ).

cnf(c_0_30,negated_conjecture,
    ~ iext(uri_rdfs_subPropertyOf,uri_ex_p1,uri_ex_p),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_31,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_29])]),c_0_30]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : SWB043+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.07  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.43  % Computer : n002.cluster.edu
% 0.16/0.43  % Model    : x86_64 x86_64
% 0.16/0.43  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43  % Memory   : 8046.5625MB
% 0.16/0.43  % OS       : Linux 6.8.0-71-generic
% 0.16/0.43  % CPULimit : 300
% 0.16/0.43  % WCLimit  : 300
% 0.16/0.43  % DateTime : Mon Sep 21 07:46:47 UTC 2026
% 0.16/0.43  % CPUTime  : 
% 0.16/0.43  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.50  Running first-order theorem proving
% 0.24/0.50  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
% 0.24/0.60  % Version: 3.5.1
% 0.24/0.60  % Preprocessing class: FSLMSMSLSSSNFFN.
% 0.24/0.60  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.60  % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 0.24/0.60  % Starting new_bool_3 with 600s (2) cores
% 0.24/0.60  % Starting new_bool_1 with 600s (2) cores
% 0.24/0.60  % Starting sh5l with 300s (1) cores
% 0.24/0.60  % new_bool_1 with pid 2795446 completed with status 0
% 0.24/0.60  % Result found by new_bool_1
% 0.24/0.60  % Preprocessing class: FSLMSMSLSSSNFFN.
% 0.24/0.60  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.60  % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 0.24/0.60  % Starting new_bool_3 with 600s (2) cores
% 0.24/0.60  % Starting new_bool_1 with 600s (2) cores
% 0.24/0.60  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.24/0.60  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.24/0.60  % Search class: FGUNF-FFMM33-SFFFFFNN
% 0.24/0.60  % Scheduled 6 strats onto 2 cores with 600 seconds (600 total)
% 0.24/0.60  % Starting SubtermCWHack with 61s (1) cores
% 0.24/0.60  % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 125s (1) cores
% 0.24/0.60  % G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with pid 2795451 completed with status 0
% 0.24/0.60  % Result found by G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y
% 0.24/0.60  % Preprocessing class: FSLMSMSLSSSNFFN.
% 0.24/0.60  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.60  % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 0.24/0.60  % Starting new_bool_3 with 600s (2) cores
% 0.24/0.60  % Starting new_bool_1 with 600s (2) cores
% 0.24/0.60  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.24/0.60  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.24/0.60  % Search class: FGUNF-FFMM33-SFFFFFNN
% 0.24/0.60  % Scheduled 6 strats onto 2 cores with 600 seconds (600 total)
% 0.24/0.60  % Starting SubtermCWHack with 61s (1) cores
% 0.24/0.60  % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 125s (1) cores
% 0.24/0.60  % Preprocessing time       : 0.004 s
% 0.24/0.60  
% 0.24/0.60  % Proof found!
% 0.24/0.60  % SZS status Theorem
% 0.24/0.60  % SZS output start CNFRefutation
% See solution above
% 0.24/0.60  % Parsed axioms                        : 560
% 0.24/0.60  % Removed by relevancy pruning/SinE    : 513
% 0.24/0.60  % Initial clauses                      : 95
% 0.24/0.60  % Removed in clause preprocessing      : 0
% 0.24/0.60  % Initial clauses in saturation        : 95
% 0.24/0.60  % Processed clauses                    : 244
% 0.24/0.60  % ...of these trivial                  : 28
% 0.24/0.60  % ...subsumed                          : 50
% 0.24/0.60  % ...remaining for further processing  : 166
% 0.24/0.60  % Other redundant clauses eliminated   : 0
% 0.24/0.60  % Clauses deleted for lack of memory   : 0
% 0.24/0.60  % Backward-subsumed                    : 1
% 0.24/0.60  % Backward-rewritten                   : 1
% 0.24/0.60  % Generated clauses                    : 544
% 0.24/0.60  % ...of the previous two non-redundant : 451
% 0.24/0.60  % ...aggressively subsumed             : 0
% 0.24/0.60  % Contextual simplify-reflections      : 9
% 0.24/0.60  % Paramodulations                      : 544
% 0.24/0.60  % Factorizations                       : 0
% 0.24/0.60  % NegExts                              : 0
% 0.24/0.60  % Equation resolutions                 : 0
% 0.24/0.60  % Disequality decompositions           : 0
% 0.24/0.60  % Total rewrite steps                  : 237
% 0.24/0.60  % ...of those cached                   : 197
% 0.24/0.60  % Propositional unsat checks           : 0
% 0.24/0.60  %    Propositional check models        : 0
% 0.24/0.60  %    Propositional check unsatisfiable : 0
% 0.24/0.60  %    Propositional clauses             : 0
% 0.24/0.60  %    Propositional clauses after purity: 0
% 0.24/0.60  %    Propositional unsat core size     : 0
% 0.24/0.60  %    Propositional preprocessing time  : 0.000
% 0.24/0.60  %    Propositional encoding time       : 0.000
% 0.24/0.60  %    Propositional solver time         : 0.000
% 0.24/0.60  %    Success case prop preproc time    : 0.000
% 0.24/0.60  %    Success case prop encoding time   : 0.000
% 0.24/0.60  %    Success case prop solver time     : 0.000
% 0.24/0.60  % Current number of processed clauses  : 164
% 0.24/0.60  %    Positive orientable unit clauses  : 57
% 0.24/0.60  %    Positive unorientable unit clauses: 0
% 0.24/0.60  %    Negative unit clauses             : 1
% 0.24/0.60  %    Non-unit-clauses                  : 106
% 0.24/0.60  % Current number of unprocessed clauses: 302
% 0.24/0.60  % ...number of literals in the above   : 2386
% 0.24/0.60  % Current number of archived formulas  : 0
% 0.24/0.60  % Current number of archived clauses   : 2
% 0.24/0.60  % Clause-clause subsumption calls (NU) : 3324
% 0.24/0.60  % Rec. Clause-clause subsumption calls : 1132
% 0.24/0.60  % Non-unit clause-clause subsumptions  : 60
% 0.24/0.60  % Unit Clause-clause subsumption calls : 98
% 0.24/0.60  % Rewrite failures with RHS unbound    : 0
% 0.24/0.60  % BW rewrite match attempts            : 1
% 0.24/0.60  % BW rewrite match successes           : 1
% 0.24/0.60  % Condensation attempts                : 0
% 0.24/0.60  % Condensation successes               : 0
% 0.24/0.60  % Termbank termtop insertions          : 20263
% 0.24/0.60  % Search garbage collected termcells   : 3952
% 0.24/0.60  
% 0.24/0.60  % -------------------------------------------------
% 0.24/0.60  % User time                : 0.040 s
% 0.24/0.60  % System time              : 0.010 s
% 0.24/0.60  % Total time               : 0.050 s
% 0.24/0.60  % Maximum resident set size: 4384 pages
% 0.24/0.60  
% 0.24/0.60  % -------------------------------------------------
% 0.24/0.60  % User time                : 0.092 s
% 0.24/0.60  % System time              : 0.025 s
% 0.24/0.60  % Total time               : 0.117 s
% 0.24/0.60  % Maximum resident set size: 5120 pages
% 0.24/0.60  % E exiting
%------------------------------------------------------------------------------