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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWB025+2 : TPTP v9.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.bcRqd8a1dA true

% Computer : n005.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  : 300s
% DateTime : Thu Oct  2 04:58:03 PM UTC 2025

% Result   : Theorem 0.56s 0.80s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   42 (  20 unt;   0 typ;   0 def)
%            Number of atoms       :  132 (   0 equ;   0 cnn)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives :  536 (  63   ~;  60   |;  25   &; 383   @)
%                                         (   3 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   9 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   20 (  19 usr;  18 con; 0-3 aty)
%            Number of variables   :   86 (   0   ^;  81   !;   5   ?;  86   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__8_type,type,
    sk__8: $i ).

thf(uri_rdf_first_type,type,
    uri_rdf_first: $i ).

thf(sk__6_type,type,
    sk__6: $i ).

thf(uri_ex_charly_type,type,
    uri_ex_charly: $i ).

thf(uri_rdf_rest_type,type,
    uri_rdf_rest: $i ).

thf(uri_ex_bob_type,type,
    uri_ex_bob: $i ).

thf(uri_ex_dave_type,type,
    uri_ex_dave: $i ).

thf(sk__9_type,type,
    sk__9: $i ).

thf(sk__5_type,type,
    sk__5: $i ).

thf(sk__7_type,type,
    sk__7: $i ).

thf(uri_ex_alice_type,type,
    uri_ex_alice: $i ).

thf(uri_owl_propertyChainAxiom_type,type,
    uri_owl_propertyChainAxiom: $i ).

thf(uri_ex_hasCousin_type,type,
    uri_ex_hasCousin: $i ).

thf(uri_ex_hasUncle_type,type,
    uri_ex_hasUncle: $i ).

thf(uri_ex_hasFather_type,type,
    uri_ex_hasFather: $i ).

thf(uri_owl_inverseOf_type,type,
    uri_owl_inverseOf: $i ).

thf(uri_rdf_nil_type,type,
    uri_rdf_nil: $i ).

thf(ip_type,type,
    ip: $i > $o ).

thf(iext_type,type,
    iext: $i > $i > $i > $o ).

thf(testcase_conclusion_fullish_025_Cyclic_Dependencies_between_Complex_Properties,conjecture,
    ( ( iext @ uri_ex_hasUncle @ uri_ex_alice @ uri_ex_charly )
    & ( iext @ uri_ex_hasCousin @ uri_ex_bob @ uri_ex_alice ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( iext @ uri_ex_hasUncle @ uri_ex_alice @ uri_ex_charly )
      & ( iext @ uri_ex_hasCousin @ uri_ex_bob @ uri_ex_alice ) ),
    inference('cnf.neg',[status(esa)],[testcase_conclusion_fullish_025_Cyclic_Dependencies_between_Complex_Properties]) ).

thf(zip_derived_cl13,plain,
    ( ~ ( iext @ uri_ex_hasUncle @ uri_ex_alice @ uri_ex_charly )
    | ~ ( iext @ uri_ex_hasCousin @ uri_ex_bob @ uri_ex_alice ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties,axiom,
    ? [BNODE_l11: $i,BNODE_l12: $i,BNODE_l21: $i,BNODE_l22: $i,BNODE_l3: $i] :
      ( ( iext @ uri_ex_hasUncle @ uri_ex_bob @ uri_ex_dave )
      & ( iext @ uri_ex_hasFather @ uri_ex_bob @ uri_ex_charly )
      & ( iext @ uri_ex_hasCousin @ uri_ex_alice @ uri_ex_bob )
      & ( iext @ uri_ex_hasFather @ uri_ex_alice @ uri_ex_dave )
      & ( iext @ uri_owl_inverseOf @ BNODE_l3 @ uri_ex_hasFather )
      & ( iext @ uri_rdf_rest @ BNODE_l22 @ uri_rdf_nil )
      & ( iext @ uri_rdf_first @ BNODE_l22 @ BNODE_l3 )
      & ( iext @ uri_rdf_rest @ BNODE_l21 @ BNODE_l22 )
      & ( iext @ uri_rdf_first @ BNODE_l21 @ uri_ex_hasUncle )
      & ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ BNODE_l21 )
      & ( iext @ uri_rdf_rest @ BNODE_l12 @ uri_rdf_nil )
      & ( iext @ uri_rdf_first @ BNODE_l12 @ uri_ex_hasFather )
      & ( iext @ uri_rdf_rest @ BNODE_l11 @ BNODE_l12 )
      & ( iext @ uri_rdf_first @ BNODE_l11 @ uri_ex_hasCousin )
      & ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ BNODE_l11 ) ) ).

thf(zip_derived_cl19,plain,
    iext @ uri_rdf_first @ sk__6 @ uri_ex_hasFather,
    inference(cnf,[status(esa)],[testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties]) ).

thf(zip_derived_cl26,plain,
    iext @ uri_ex_hasCousin @ uri_ex_alice @ uri_ex_bob,
    inference(cnf,[status(esa)],[testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties]) ).

thf(zip_derived_cl17,plain,
    iext @ uri_rdf_first @ sk__5 @ uri_ex_hasCousin,
    inference(cnf,[status(esa)],[testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties]) ).

thf(zip_derived_cl16,plain,
    iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ sk__5,
    inference(cnf,[status(esa)],[testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties]) ).

thf(zip_derived_cl20,plain,
    iext @ uri_rdf_rest @ sk__6 @ uri_rdf_nil,
    inference(cnf,[status(esa)],[testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties]) ).

thf(owl_chain_002,axiom,
    ! [P: $i,S1: $i,P1: $i,S2: $i,P2: $i] :
      ( ( ( iext @ uri_rdf_first @ S1 @ P1 )
        & ( iext @ uri_rdf_rest @ S1 @ S2 )
        & ( iext @ uri_rdf_first @ S2 @ P2 )
        & ( iext @ uri_rdf_rest @ S2 @ uri_rdf_nil ) )
     => ( ( iext @ uri_owl_propertyChainAxiom @ P @ S1 )
      <=> ( ( ip @ P )
          & ( ip @ P1 )
          & ( ip @ P2 )
          & ! [Y0: $i,Y1: $i,Y2: $i] :
              ( ( ( iext @ P1 @ Y0 @ Y1 )
                & ( iext @ P2 @ Y1 @ Y2 ) )
             => ( iext @ P @ Y0 @ Y2 ) ) ) ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( ~ ( iext @ uri_rdf_rest @ X0 @ uri_rdf_nil )
      | ~ ( iext @ uri_rdf_rest @ X1 @ X0 )
      | ~ ( iext @ uri_rdf_first @ X1 @ X2 )
      | ~ ( iext @ uri_rdf_first @ X0 @ X3 )
      | ( iext @ X4 @ X5 @ X6 )
      | ~ ( iext @ X3 @ X7 @ X6 )
      | ~ ( iext @ X2 @ X5 @ X7 )
      | ~ ( iext @ uri_owl_propertyChainAxiom @ X4 @ X1 ) ),
    inference(cnf,[status(esa)],[owl_chain_002]) ).

thf(zip_derived_cl73,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( iext @ uri_owl_propertyChainAxiom @ X1 @ X0 )
      | ~ ( iext @ X4 @ X3 @ X2 )
      | ~ ( iext @ X6 @ X2 @ X5 )
      | ( iext @ X1 @ X3 @ X5 )
      | ~ ( iext @ uri_rdf_first @ sk__6 @ X6 )
      | ~ ( iext @ uri_rdf_first @ X0 @ X4 )
      | ~ ( iext @ uri_rdf_rest @ X0 @ sk__6 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl3]) ).

thf(zip_derived_cl130,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( iext @ uri_rdf_rest @ sk__5 @ sk__6 )
      | ~ ( iext @ uri_rdf_first @ sk__5 @ X0 )
      | ~ ( iext @ uri_rdf_first @ sk__6 @ X1 )
      | ( iext @ uri_ex_hasUncle @ X3 @ X2 )
      | ~ ( iext @ X1 @ X4 @ X2 )
      | ~ ( iext @ X0 @ X3 @ X4 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl73]) ).

thf(zip_derived_cl18,plain,
    iext @ uri_rdf_rest @ sk__5 @ sk__6,
    inference(cnf,[status(esa)],[testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties]) ).

thf(zip_derived_cl135,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( iext @ uri_rdf_first @ sk__5 @ X0 )
      | ~ ( iext @ uri_rdf_first @ sk__6 @ X1 )
      | ( iext @ uri_ex_hasUncle @ X3 @ X2 )
      | ~ ( iext @ X1 @ X4 @ X2 )
      | ~ ( iext @ X0 @ X3 @ X4 ) ),
    inference(demod,[status(thm)],[zip_derived_cl130,zip_derived_cl18]) ).

thf(zip_derived_cl150,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( iext @ uri_ex_hasCousin @ X1 @ X0 )
      | ~ ( iext @ X3 @ X0 @ X2 )
      | ( iext @ uri_ex_hasUncle @ X1 @ X2 )
      | ~ ( iext @ uri_rdf_first @ sk__6 @ X3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl135]) ).

thf(zip_derived_cl151,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( iext @ uri_rdf_first @ sk__6 @ X0 )
      | ( iext @ uri_ex_hasUncle @ uri_ex_alice @ X1 )
      | ~ ( iext @ X0 @ uri_ex_bob @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl150]) ).

thf(zip_derived_cl155,plain,
    ! [X0: $i] :
      ( ~ ( iext @ uri_ex_hasFather @ uri_ex_bob @ X0 )
      | ( iext @ uri_ex_hasUncle @ uri_ex_alice @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl151]) ).

thf(zip_derived_cl27,plain,
    iext @ uri_ex_hasFather @ uri_ex_bob @ uri_ex_charly,
    inference(cnf,[status(esa)],[testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties]) ).

thf(zip_derived_cl156,plain,
    iext @ uri_ex_hasUncle @ uri_ex_alice @ uri_ex_charly,
    inference('sup+',[status(thm)],[zip_derived_cl155,zip_derived_cl27]) ).

thf(zip_derived_cl158,plain,
    ~ ( iext @ uri_ex_hasCousin @ uri_ex_bob @ uri_ex_alice ),
    inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl156]) ).

thf(zip_derived_cl15,plain,
    iext @ uri_rdf_first @ sk__8 @ sk__9,
    inference(cnf,[status(esa)],[testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties]) ).

thf(zip_derived_cl28,plain,
    iext @ uri_ex_hasUncle @ uri_ex_bob @ uri_ex_dave,
    inference(cnf,[status(esa)],[testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties]) ).

thf(zip_derived_cl22,plain,
    iext @ uri_rdf_first @ sk__7 @ uri_ex_hasUncle,
    inference(cnf,[status(esa)],[testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties]) ).

thf(zip_derived_cl21,plain,
    iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ sk__7,
    inference(cnf,[status(esa)],[testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties]) ).

thf(zip_derived_cl24,plain,
    iext @ uri_rdf_rest @ sk__8 @ uri_rdf_nil,
    inference(cnf,[status(esa)],[testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties]) ).

thf(zip_derived_cl3_001,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( ~ ( iext @ uri_rdf_rest @ X0 @ uri_rdf_nil )
      | ~ ( iext @ uri_rdf_rest @ X1 @ X0 )
      | ~ ( iext @ uri_rdf_first @ X1 @ X2 )
      | ~ ( iext @ uri_rdf_first @ X0 @ X3 )
      | ( iext @ X4 @ X5 @ X6 )
      | ~ ( iext @ X3 @ X7 @ X6 )
      | ~ ( iext @ X2 @ X5 @ X7 )
      | ~ ( iext @ uri_owl_propertyChainAxiom @ X4 @ X1 ) ),
    inference(cnf,[status(esa)],[owl_chain_002]) ).

thf(zip_derived_cl74,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( iext @ uri_owl_propertyChainAxiom @ X1 @ X0 )
      | ~ ( iext @ X4 @ X3 @ X2 )
      | ~ ( iext @ X6 @ X2 @ X5 )
      | ( iext @ X1 @ X3 @ X5 )
      | ~ ( iext @ uri_rdf_first @ sk__8 @ X6 )
      | ~ ( iext @ uri_rdf_first @ X0 @ X4 )
      | ~ ( iext @ uri_rdf_rest @ X0 @ sk__8 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl3]) ).

thf(zip_derived_cl145,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( iext @ uri_rdf_rest @ sk__7 @ sk__8 )
      | ~ ( iext @ uri_rdf_first @ sk__7 @ X0 )
      | ~ ( iext @ uri_rdf_first @ sk__8 @ X1 )
      | ( iext @ uri_ex_hasCousin @ X3 @ X2 )
      | ~ ( iext @ X1 @ X4 @ X2 )
      | ~ ( iext @ X0 @ X3 @ X4 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl74]) ).

thf(zip_derived_cl23,plain,
    iext @ uri_rdf_rest @ sk__7 @ sk__8,
    inference(cnf,[status(esa)],[testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties]) ).

thf(zip_derived_cl149,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( iext @ uri_rdf_first @ sk__7 @ X0 )
      | ~ ( iext @ uri_rdf_first @ sk__8 @ X1 )
      | ( iext @ uri_ex_hasCousin @ X3 @ X2 )
      | ~ ( iext @ X1 @ X4 @ X2 )
      | ~ ( iext @ X0 @ X3 @ X4 ) ),
    inference(demod,[status(thm)],[zip_derived_cl145,zip_derived_cl23]) ).

thf(zip_derived_cl165,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( iext @ uri_ex_hasUncle @ X1 @ X0 )
      | ~ ( iext @ X3 @ X0 @ X2 )
      | ( iext @ uri_ex_hasCousin @ X1 @ X2 )
      | ~ ( iext @ uri_rdf_first @ sk__8 @ X3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl149]) ).

thf(zip_derived_cl167,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( iext @ uri_rdf_first @ sk__8 @ X0 )
      | ( iext @ uri_ex_hasCousin @ uri_ex_bob @ X1 )
      | ~ ( iext @ X0 @ uri_ex_dave @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl165]) ).

thf(zip_derived_cl171,plain,
    ! [X0: $i] :
      ( ~ ( iext @ sk__9 @ uri_ex_dave @ X0 )
      | ( iext @ uri_ex_hasCousin @ uri_ex_bob @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl167]) ).

thf(zip_derived_cl14,plain,
    iext @ uri_owl_inverseOf @ sk__9 @ uri_ex_hasFather,
    inference(cnf,[status(esa)],[testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties]) ).

thf(zip_derived_cl25,plain,
    iext @ uri_ex_hasFather @ uri_ex_alice @ uri_ex_dave,
    inference(cnf,[status(esa)],[testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties]) ).

thf(owl_inv,axiom,
    ! [P1: $i,P2: $i] :
      ( ( iext @ uri_owl_inverseOf @ P1 @ P2 )
    <=> ( ( ip @ P1 )
        & ( ip @ P2 )
        & ! [X: $i,Y: $i] :
            ( ( iext @ P1 @ X @ Y )
          <=> ( iext @ P2 @ Y @ X ) ) ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( iext @ X0 @ X1 @ X2 )
      | ( iext @ X3 @ X2 @ X1 )
      | ~ ( iext @ uri_owl_inverseOf @ X3 @ X0 ) ),
    inference(cnf,[status(esa)],[owl_inv]) ).

thf(zip_derived_cl69,plain,
    ! [X0: $i] :
      ( ~ ( iext @ uri_owl_inverseOf @ X0 @ uri_ex_hasFather )
      | ( iext @ X0 @ uri_ex_dave @ uri_ex_alice ) ),
    inference('sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl10]) ).

thf(zip_derived_cl93,plain,
    iext @ sk__9 @ uri_ex_dave @ uri_ex_alice,
    inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl69]) ).

thf(zip_derived_cl172,plain,
    iext @ uri_ex_hasCousin @ uri_ex_bob @ uri_ex_alice,
    inference('sup+',[status(thm)],[zip_derived_cl171,zip_derived_cl93]) ).

thf(zip_derived_cl174,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl158,zip_derived_cl172]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWB025+2 : TPTP v9.2.0. Released v5.2.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.bcRqd8a1dA true
% 0.12/0.33  % Computer : n005.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
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Wed Oct  1 12:13:53 EDT 2025
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.34  % Number of cores: 8
% 0.18/0.34  % Python version: Python 3.6.8
% 0.18/0.34  % Running in FO mode
% 0.55/0.64  % Total configuration time : 435
% 0.55/0.64  % Estimated wc time : 1092
% 0.55/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.80  % Solved by fo/fo3_bce.sh.
% 0.56/0.80  % BCE start: 29
% 0.56/0.80  % BCE eliminated: 0
% 0.56/0.80  % PE start: 29
% 0.56/0.80  logic: neq
% 0.56/0.80  % PE eliminated: 0
% 0.56/0.80  % done 125 iterations in 0.058s
% 0.56/0.80  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.80  % SZS output start Refutation
% See solution above
% 0.56/0.80  
% 0.56/0.80  
% 0.56/0.80  % Terminating...
% 0.56/0.84  % Runner terminated.
% 1.90/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------