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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : CSR024+1.009 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/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 : Tue Sep 29 09:41:59 AM UTC 2026

% Result   : Theorem 4.68s 1.38s
% Output   : Refutation 5.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   32
% Syntax   : Number of formulae    :  240 (  91 unt;  27 def)
%            Number of atoms       :  797 ( 311 equ)
%            Maximal formula atoms :   44 (   3 avg)
%            Number of connectives :  860 ( 303   ~; 333   |; 192   &)
%                                         (  31 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   32 (  30 usr;  10 prp; 0-5 aty)
%            Number of functors    :   28 (  28 usr;  20 con; 0-3 aty)
%            Number of variables   :  277 (   0 sgn 269   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f9,axiom,
    ! [X0,X1,X2] :
      ( ( happens(X0,X1)
        & initiates(X0,X2,X1) )
     => holdsAt(X2,plus(X1,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',happens_holds) ).

fof(f23,axiom,
    plus(n0,n1) = n1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus0_1) ).

fof(f45,axiom,
    ! [X0,X1,X2] :
      ( initiates(X0,X1,X2)
    <=> ? [X3,X4] :
          ( ( X0 = push(X3,X4)
            & X1 = forwards(X4)
            & ~ happens(pull(X3,X4),X2) )
          | ( X0 = pull(X3,X4)
            & X1 = backwards(X4)
            & ~ happens(push(X3,X4),X2) )
          | ( X0 = pull(X3,X4)
            & X1 = spinning(X4)
            & happens(push(X3,X4),X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',initiates_all_defn) ).

fof(f48,axiom,
    ! [X0,X1] :
      ( happens(X0,X1)
    <=> ( ( X0 = pull(agent1,trolley1)
          & X1 = n0 )
        | ( X0 = push(agent1,trolley1)
          & X1 = n0 )
        | ( X0 = pull(agent2,trolley2)
          & X1 = n0 )
        | ( X0 = push(agent2,trolley2)
          & X1 = n0 )
        | ( X0 = pull(agent3,trolley3)
          & X1 = n0 )
        | ( X0 = push(agent3,trolley3)
          & X1 = n0 )
        | ( X0 = pull(agent4,trolley4)
          & X1 = n0 )
        | ( X0 = push(agent4,trolley4)
          & X1 = n0 )
        | ( X0 = pull(agent5,trolley5)
          & X1 = n0 )
        | ( X0 = push(agent5,trolley5)
          & X1 = n0 )
        | ( X0 = pull(agent6,trolley6)
          & X1 = n0 )
        | ( X0 = push(agent6,trolley6)
          & X1 = n0 )
        | ( X0 = pull(agent7,trolley7)
          & X1 = n0 )
        | ( X0 = push(agent7,trolley7)
          & X1 = n0 )
        | ( X0 = pull(agent8,trolley8)
          & X1 = n0 )
        | ( X0 = push(agent8,trolley8)
          & X1 = n0 )
        | ( X0 = pull(agent9,trolley9)
          & X1 = n0 )
        | ( X0 = push(agent9,trolley9)
          & X1 = n0 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',happens_all_defn) ).

fof(f58,conjecture,
    ( holdsAt(spinning(trolley1),n1)
    & holdsAt(spinning(trolley2),n1)
    & holdsAt(spinning(trolley3),n1)
    & holdsAt(spinning(trolley4),n1)
    & holdsAt(spinning(trolley5),n1)
    & holdsAt(spinning(trolley6),n1)
    & holdsAt(spinning(trolley7),n1)
    & holdsAt(spinning(trolley8),n1)
    & holdsAt(spinning(trolley9),n1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',spinning_3) ).

fof(f59,negated_conjecture,
    ~ ( holdsAt(spinning(trolley1),n1)
      & holdsAt(spinning(trolley2),n1)
      & holdsAt(spinning(trolley3),n1)
      & holdsAt(spinning(trolley4),n1)
      & holdsAt(spinning(trolley5),n1)
      & holdsAt(spinning(trolley6),n1)
      & holdsAt(spinning(trolley7),n1)
      & holdsAt(spinning(trolley8),n1)
      & holdsAt(spinning(trolley9),n1) ),
    inference(negated_conjecture,[status(cth)],[f58]) ).

fof(f66,plain,
    ( ~ holdsAt(spinning(trolley1),n1)
    | ~ holdsAt(spinning(trolley2),n1)
    | ~ holdsAt(spinning(trolley3),n1)
    | ~ holdsAt(spinning(trolley4),n1)
    | ~ holdsAt(spinning(trolley5),n1)
    | ~ holdsAt(spinning(trolley6),n1)
    | ~ holdsAt(spinning(trolley7),n1)
    | ~ holdsAt(spinning(trolley8),n1)
    | ~ holdsAt(spinning(trolley9),n1) ),
    inference(ennf_transformation,[],[f59]) ).

fof(f70,plain,
    ! [X0,X1,X2] :
      ( holdsAt(X2,plus(X1,n1))
      | ~ happens(X0,X1)
      | ~ initiates(X0,X2,X1) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f71,plain,
    ! [X0,X1,X2] :
      ( holdsAt(X2,plus(X1,n1))
      | ~ happens(X0,X1)
      | ~ initiates(X0,X2,X1) ),
    inference(flattening,[],[f70]) ).

fof(f92,definition,
    ! [X0,X1] :
      ( sP0(X0,X1)
    <=> ( X0 = push(agent9,trolley9)
        & X1 = n0 ) ),
    introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).

fof(f93,definition,
    ! [X0,X1] :
      ( sP1(X0,X1)
    <=> ( X0 = pull(agent9,trolley9)
        & X1 = n0 ) ),
    introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).

fof(f94,definition,
    ! [X0,X1] :
      ( sP2(X0,X1)
    <=> ( X0 = push(agent8,trolley8)
        & X1 = n0 ) ),
    introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).

fof(f95,definition,
    ! [X0,X1] :
      ( sP3(X0,X1)
    <=> ( X0 = pull(agent8,trolley8)
        & X1 = n0 ) ),
    introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).

fof(f96,definition,
    ! [X0,X1] :
      ( sP4(X0,X1)
    <=> ( X0 = push(agent7,trolley7)
        & X1 = n0 ) ),
    introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).

fof(f97,definition,
    ! [X0,X1] :
      ( sP5(X0,X1)
    <=> ( X0 = pull(agent7,trolley7)
        & X1 = n0 ) ),
    introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).

fof(f98,definition,
    ! [X0,X1] :
      ( sP6(X0,X1)
    <=> ( X0 = push(agent6,trolley6)
        & X1 = n0 ) ),
    introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).

fof(f99,definition,
    ! [X0,X1] :
      ( sP7(X0,X1)
    <=> ( X0 = pull(agent6,trolley6)
        & X1 = n0 ) ),
    introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).

fof(f100,definition,
    ! [X0,X1] :
      ( sP8(X0,X1)
    <=> ( X0 = push(agent5,trolley5)
        & X1 = n0 ) ),
    introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).

fof(f101,definition,
    ! [X0,X1] :
      ( sP9(X0,X1)
    <=> ( X0 = pull(agent5,trolley5)
        & X1 = n0 ) ),
    introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).

fof(f102,definition,
    ! [X0,X1] :
      ( sP10(X0,X1)
    <=> ( X0 = push(agent4,trolley4)
        & X1 = n0 ) ),
    introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).

fof(f103,definition,
    ! [X0,X1] :
      ( sP11(X0,X1)
    <=> ( X0 = pull(agent4,trolley4)
        & X1 = n0 ) ),
    introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).

fof(f104,definition,
    ! [X0,X1] :
      ( sP12(X0,X1)
    <=> ( X0 = push(agent3,trolley3)
        & X1 = n0 ) ),
    introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).

fof(f105,definition,
    ! [X0,X1] :
      ( sP13(X0,X1)
    <=> ( X0 = pull(agent3,trolley3)
        & X1 = n0 ) ),
    introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).

fof(f106,definition,
    ! [X0,X1] :
      ( sP14(X0,X1)
    <=> ( X0 = push(agent2,trolley2)
        & X1 = n0 ) ),
    introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).

fof(f107,definition,
    ! [X0,X1] :
      ( sP15(X0,X1)
    <=> ( ( X0 = pull(agent1,trolley1)
          & X1 = n0 )
        | ( X0 = push(agent1,trolley1)
          & X1 = n0 )
        | ( X0 = pull(agent2,trolley2)
          & X1 = n0 )
        | sP14(X0,X1)
        | sP13(X0,X1)
        | sP12(X0,X1)
        | sP11(X0,X1)
        | sP10(X0,X1)
        | sP9(X0,X1)
        | sP8(X0,X1)
        | sP7(X0,X1)
        | sP6(X0,X1)
        | sP5(X0,X1)
        | sP4(X0,X1)
        | sP3(X0,X1)
        | sP2(X0,X1)
        | sP1(X0,X1)
        | sP0(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).

fof(f108,plain,
    ! [X0,X1] :
      ( happens(X0,X1)
    <=> sP15(X0,X1) ),
    inference(definition_folding,[],[f48,f107,f106,f105,f104,f103,f102,f101,f100,f99,f98,f97,f96,f95,f94,f93,f92]) ).

fof(f123,definition,
    ! [X0,X4,X3,X1,X2] :
      ( sP28(X0,X4,X3,X1,X2)
    <=> ( X0 = pull(X3,X4)
        & X1 = spinning(X4)
        & happens(push(X3,X4),X2) ) ),
    introduced(definition,[new_symbols(definition,[sP28])],[predicate_definition_introduction]) ).

fof(f124,definition,
    ! [X0,X4,X3,X1,X2] :
      ( sP29(X0,X4,X3,X1,X2)
    <=> ( X0 = pull(X3,X4)
        & X1 = backwards(X4)
        & ~ happens(push(X3,X4),X2) ) ),
    introduced(definition,[new_symbols(definition,[sP29])],[predicate_definition_introduction]) ).

fof(f125,plain,
    ! [X0,X1,X2] :
      ( initiates(X0,X1,X2)
    <=> ? [X3,X4] :
          ( ( X0 = push(X3,X4)
            & X1 = forwards(X4)
            & ~ happens(pull(X3,X4),X2) )
          | sP29(X0,X4,X3,X1,X2)
          | sP28(X0,X4,X3,X1,X2) ) ),
    inference(definition_folding,[],[f45,f124,f123]) ).

fof(f132,plain,
    ! [X0,X1] :
      ( ( sP15(X0,X1)
        | ( ( pull(agent1,trolley1) != X0
            | n0 != X1 )
          & ( push(agent1,trolley1) != X0
            | n0 != X1 )
          & ( pull(agent2,trolley2) != X0
            | n0 != X1 )
          & ~ sP14(X0,X1)
          & ~ sP13(X0,X1)
          & ~ sP12(X0,X1)
          & ~ sP11(X0,X1)
          & ~ sP10(X0,X1)
          & ~ sP9(X0,X1)
          & ~ sP8(X0,X1)
          & ~ sP7(X0,X1)
          & ~ sP6(X0,X1)
          & ~ sP5(X0,X1)
          & ~ sP4(X0,X1)
          & ~ sP3(X0,X1)
          & ~ sP2(X0,X1)
          & ~ sP1(X0,X1)
          & ~ sP0(X0,X1) ) )
      & ( ( X0 = pull(agent1,trolley1)
          & X1 = n0 )
        | ( X0 = push(agent1,trolley1)
          & X1 = n0 )
        | ( X0 = pull(agent2,trolley2)
          & X1 = n0 )
        | sP14(X0,X1)
        | sP13(X0,X1)
        | sP12(X0,X1)
        | sP11(X0,X1)
        | sP10(X0,X1)
        | sP9(X0,X1)
        | sP8(X0,X1)
        | sP7(X0,X1)
        | sP6(X0,X1)
        | sP5(X0,X1)
        | sP4(X0,X1)
        | sP3(X0,X1)
        | sP2(X0,X1)
        | sP1(X0,X1)
        | sP0(X0,X1)
        | ~ sP15(X0,X1) ) ),
    inference(nnf_transformation,[],[f107]) ).

fof(f133,plain,
    ! [X0,X1] :
      ( ( sP15(X0,X1)
        | ( ( pull(agent1,trolley1) != X0
            | n0 != X1 )
          & ( push(agent1,trolley1) != X0
            | n0 != X1 )
          & ( pull(agent2,trolley2) != X0
            | n0 != X1 )
          & ~ sP14(X0,X1)
          & ~ sP13(X0,X1)
          & ~ sP12(X0,X1)
          & ~ sP11(X0,X1)
          & ~ sP10(X0,X1)
          & ~ sP9(X0,X1)
          & ~ sP8(X0,X1)
          & ~ sP7(X0,X1)
          & ~ sP6(X0,X1)
          & ~ sP5(X0,X1)
          & ~ sP4(X0,X1)
          & ~ sP3(X0,X1)
          & ~ sP2(X0,X1)
          & ~ sP1(X0,X1)
          & ~ sP0(X0,X1) ) )
      & ( ( X0 = pull(agent1,trolley1)
          & X1 = n0 )
        | ( X0 = push(agent1,trolley1)
          & X1 = n0 )
        | ( X0 = pull(agent2,trolley2)
          & X1 = n0 )
        | sP14(X0,X1)
        | sP13(X0,X1)
        | sP12(X0,X1)
        | sP11(X0,X1)
        | sP10(X0,X1)
        | sP9(X0,X1)
        | sP8(X0,X1)
        | sP7(X0,X1)
        | sP6(X0,X1)
        | sP5(X0,X1)
        | sP4(X0,X1)
        | sP3(X0,X1)
        | sP2(X0,X1)
        | sP1(X0,X1)
        | sP0(X0,X1)
        | ~ sP15(X0,X1) ) ),
    inference(flattening,[],[f132]) ).

fof(f134,plain,
    ! [X0,X1] :
      ( ( sP14(X0,X1)
        | push(agent2,trolley2) != X0
        | n0 != X1 )
      & ( ( X0 = push(agent2,trolley2)
          & X1 = n0 )
        | ~ sP14(X0,X1) ) ),
    inference(nnf_transformation,[],[f106]) ).

fof(f135,plain,
    ! [X0,X1] :
      ( ( sP14(X0,X1)
        | push(agent2,trolley2) != X0
        | n0 != X1 )
      & ( ( X0 = push(agent2,trolley2)
          & X1 = n0 )
        | ~ sP14(X0,X1) ) ),
    inference(flattening,[],[f134]) ).

fof(f136,plain,
    ! [X0,X1] :
      ( ( sP13(X0,X1)
        | pull(agent3,trolley3) != X0
        | n0 != X1 )
      & ( ( X0 = pull(agent3,trolley3)
          & X1 = n0 )
        | ~ sP13(X0,X1) ) ),
    inference(nnf_transformation,[],[f105]) ).

fof(f137,plain,
    ! [X0,X1] :
      ( ( sP13(X0,X1)
        | pull(agent3,trolley3) != X0
        | n0 != X1 )
      & ( ( X0 = pull(agent3,trolley3)
          & X1 = n0 )
        | ~ sP13(X0,X1) ) ),
    inference(flattening,[],[f136]) ).

fof(f138,plain,
    ! [X0,X1] :
      ( ( sP12(X0,X1)
        | push(agent3,trolley3) != X0
        | n0 != X1 )
      & ( ( X0 = push(agent3,trolley3)
          & X1 = n0 )
        | ~ sP12(X0,X1) ) ),
    inference(nnf_transformation,[],[f104]) ).

fof(f139,plain,
    ! [X0,X1] :
      ( ( sP12(X0,X1)
        | push(agent3,trolley3) != X0
        | n0 != X1 )
      & ( ( X0 = push(agent3,trolley3)
          & X1 = n0 )
        | ~ sP12(X0,X1) ) ),
    inference(flattening,[],[f138]) ).

fof(f140,plain,
    ! [X0,X1] :
      ( ( sP11(X0,X1)
        | pull(agent4,trolley4) != X0
        | n0 != X1 )
      & ( ( X0 = pull(agent4,trolley4)
          & X1 = n0 )
        | ~ sP11(X0,X1) ) ),
    inference(nnf_transformation,[],[f103]) ).

fof(f141,plain,
    ! [X0,X1] :
      ( ( sP11(X0,X1)
        | pull(agent4,trolley4) != X0
        | n0 != X1 )
      & ( ( X0 = pull(agent4,trolley4)
          & X1 = n0 )
        | ~ sP11(X0,X1) ) ),
    inference(flattening,[],[f140]) ).

fof(f142,plain,
    ! [X0,X1] :
      ( ( sP10(X0,X1)
        | push(agent4,trolley4) != X0
        | n0 != X1 )
      & ( ( X0 = push(agent4,trolley4)
          & X1 = n0 )
        | ~ sP10(X0,X1) ) ),
    inference(nnf_transformation,[],[f102]) ).

fof(f143,plain,
    ! [X0,X1] :
      ( ( sP10(X0,X1)
        | push(agent4,trolley4) != X0
        | n0 != X1 )
      & ( ( X0 = push(agent4,trolley4)
          & X1 = n0 )
        | ~ sP10(X0,X1) ) ),
    inference(flattening,[],[f142]) ).

fof(f144,plain,
    ! [X0,X1] :
      ( ( sP9(X0,X1)
        | pull(agent5,trolley5) != X0
        | n0 != X1 )
      & ( ( X0 = pull(agent5,trolley5)
          & X1 = n0 )
        | ~ sP9(X0,X1) ) ),
    inference(nnf_transformation,[],[f101]) ).

fof(f145,plain,
    ! [X0,X1] :
      ( ( sP9(X0,X1)
        | pull(agent5,trolley5) != X0
        | n0 != X1 )
      & ( ( X0 = pull(agent5,trolley5)
          & X1 = n0 )
        | ~ sP9(X0,X1) ) ),
    inference(flattening,[],[f144]) ).

fof(f146,plain,
    ! [X0,X1] :
      ( ( sP8(X0,X1)
        | push(agent5,trolley5) != X0
        | n0 != X1 )
      & ( ( X0 = push(agent5,trolley5)
          & X1 = n0 )
        | ~ sP8(X0,X1) ) ),
    inference(nnf_transformation,[],[f100]) ).

fof(f147,plain,
    ! [X0,X1] :
      ( ( sP8(X0,X1)
        | push(agent5,trolley5) != X0
        | n0 != X1 )
      & ( ( X0 = push(agent5,trolley5)
          & X1 = n0 )
        | ~ sP8(X0,X1) ) ),
    inference(flattening,[],[f146]) ).

fof(f148,plain,
    ! [X0,X1] :
      ( ( sP7(X0,X1)
        | pull(agent6,trolley6) != X0
        | n0 != X1 )
      & ( ( X0 = pull(agent6,trolley6)
          & X1 = n0 )
        | ~ sP7(X0,X1) ) ),
    inference(nnf_transformation,[],[f99]) ).

fof(f149,plain,
    ! [X0,X1] :
      ( ( sP7(X0,X1)
        | pull(agent6,trolley6) != X0
        | n0 != X1 )
      & ( ( X0 = pull(agent6,trolley6)
          & X1 = n0 )
        | ~ sP7(X0,X1) ) ),
    inference(flattening,[],[f148]) ).

fof(f150,plain,
    ! [X0,X1] :
      ( ( sP6(X0,X1)
        | push(agent6,trolley6) != X0
        | n0 != X1 )
      & ( ( X0 = push(agent6,trolley6)
          & X1 = n0 )
        | ~ sP6(X0,X1) ) ),
    inference(nnf_transformation,[],[f98]) ).

fof(f151,plain,
    ! [X0,X1] :
      ( ( sP6(X0,X1)
        | push(agent6,trolley6) != X0
        | n0 != X1 )
      & ( ( X0 = push(agent6,trolley6)
          & X1 = n0 )
        | ~ sP6(X0,X1) ) ),
    inference(flattening,[],[f150]) ).

fof(f152,plain,
    ! [X0,X1] :
      ( ( sP5(X0,X1)
        | pull(agent7,trolley7) != X0
        | n0 != X1 )
      & ( ( X0 = pull(agent7,trolley7)
          & X1 = n0 )
        | ~ sP5(X0,X1) ) ),
    inference(nnf_transformation,[],[f97]) ).

fof(f153,plain,
    ! [X0,X1] :
      ( ( sP5(X0,X1)
        | pull(agent7,trolley7) != X0
        | n0 != X1 )
      & ( ( X0 = pull(agent7,trolley7)
          & X1 = n0 )
        | ~ sP5(X0,X1) ) ),
    inference(flattening,[],[f152]) ).

fof(f154,plain,
    ! [X0,X1] :
      ( ( sP4(X0,X1)
        | push(agent7,trolley7) != X0
        | n0 != X1 )
      & ( ( X0 = push(agent7,trolley7)
          & X1 = n0 )
        | ~ sP4(X0,X1) ) ),
    inference(nnf_transformation,[],[f96]) ).

fof(f155,plain,
    ! [X0,X1] :
      ( ( sP4(X0,X1)
        | push(agent7,trolley7) != X0
        | n0 != X1 )
      & ( ( X0 = push(agent7,trolley7)
          & X1 = n0 )
        | ~ sP4(X0,X1) ) ),
    inference(flattening,[],[f154]) ).

fof(f156,plain,
    ! [X0,X1] :
      ( ( sP3(X0,X1)
        | pull(agent8,trolley8) != X0
        | n0 != X1 )
      & ( ( X0 = pull(agent8,trolley8)
          & X1 = n0 )
        | ~ sP3(X0,X1) ) ),
    inference(nnf_transformation,[],[f95]) ).

fof(f157,plain,
    ! [X0,X1] :
      ( ( sP3(X0,X1)
        | pull(agent8,trolley8) != X0
        | n0 != X1 )
      & ( ( X0 = pull(agent8,trolley8)
          & X1 = n0 )
        | ~ sP3(X0,X1) ) ),
    inference(flattening,[],[f156]) ).

fof(f158,plain,
    ! [X0,X1] :
      ( ( sP2(X0,X1)
        | push(agent8,trolley8) != X0
        | n0 != X1 )
      & ( ( X0 = push(agent8,trolley8)
          & X1 = n0 )
        | ~ sP2(X0,X1) ) ),
    inference(nnf_transformation,[],[f94]) ).

fof(f159,plain,
    ! [X0,X1] :
      ( ( sP2(X0,X1)
        | push(agent8,trolley8) != X0
        | n0 != X1 )
      & ( ( X0 = push(agent8,trolley8)
          & X1 = n0 )
        | ~ sP2(X0,X1) ) ),
    inference(flattening,[],[f158]) ).

fof(f160,plain,
    ! [X0,X1] :
      ( ( sP1(X0,X1)
        | pull(agent9,trolley9) != X0
        | n0 != X1 )
      & ( ( X0 = pull(agent9,trolley9)
          & X1 = n0 )
        | ~ sP1(X0,X1) ) ),
    inference(nnf_transformation,[],[f93]) ).

fof(f161,plain,
    ! [X0,X1] :
      ( ( sP1(X0,X1)
        | pull(agent9,trolley9) != X0
        | n0 != X1 )
      & ( ( X0 = pull(agent9,trolley9)
          & X1 = n0 )
        | ~ sP1(X0,X1) ) ),
    inference(flattening,[],[f160]) ).

fof(f162,plain,
    ! [X0,X1] :
      ( ( sP0(X0,X1)
        | push(agent9,trolley9) != X0
        | n0 != X1 )
      & ( ( X0 = push(agent9,trolley9)
          & X1 = n0 )
        | ~ sP0(X0,X1) ) ),
    inference(nnf_transformation,[],[f92]) ).

fof(f163,plain,
    ! [X0,X1] :
      ( ( sP0(X0,X1)
        | push(agent9,trolley9) != X0
        | n0 != X1 )
      & ( ( X0 = push(agent9,trolley9)
          & X1 = n0 )
        | ~ sP0(X0,X1) ) ),
    inference(flattening,[],[f162]) ).

fof(f164,plain,
    ! [X0,X1] :
      ( ( happens(X0,X1)
        | ~ sP15(X0,X1) )
      & ( sP15(X0,X1)
        | ~ happens(X0,X1) ) ),
    inference(nnf_transformation,[],[f108]) ).

fof(f212,plain,
    ! [X0,X4,X3,X1,X2] :
      ( ( sP28(X0,X4,X3,X1,X2)
        | pull(X3,X4) != X0
        | spinning(X4) != X1
        | ~ happens(push(X3,X4),X2) )
      & ( ( X0 = pull(X3,X4)
          & X1 = spinning(X4)
          & happens(push(X3,X4),X2) )
        | ~ sP28(X0,X4,X3,X1,X2) ) ),
    inference(nnf_transformation,[],[f123]) ).

fof(f213,plain,
    ! [X0,X4,X3,X1,X2] :
      ( ( sP28(X0,X4,X3,X1,X2)
        | pull(X3,X4) != X0
        | spinning(X4) != X1
        | ~ happens(push(X3,X4),X2) )
      & ( ( X0 = pull(X3,X4)
          & X1 = spinning(X4)
          & happens(push(X3,X4),X2) )
        | ~ sP28(X0,X4,X3,X1,X2) ) ),
    inference(flattening,[],[f212]) ).

fof(f214,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( sP28(X0,X1,X2,X3,X4)
        | pull(X2,X1) != X0
        | spinning(X1) != X3
        | ~ happens(push(X2,X1),X4) )
      & ( ( pull(X2,X1) = X0
          & spinning(X1) = X3
          & happens(push(X2,X1),X4) )
        | ~ sP28(X0,X1,X2,X3,X4) ) ),
    inference(rectify,[],[f213]) ).

fof(f215,plain,
    ! [X0,X1,X2] :
      ( ( initiates(X0,X1,X2)
        | ! [X3,X4] :
            ( ( push(X3,X4) != X0
              | forwards(X4) != X1
              | happens(pull(X3,X4),X2) )
            & ~ sP29(X0,X4,X3,X1,X2)
            & ~ sP28(X0,X4,X3,X1,X2) ) )
      & ( ? [X3,X4] :
            ( ( X0 = push(X3,X4)
              & X1 = forwards(X4)
              & ~ happens(pull(X3,X4),X2) )
            | sP29(X0,X4,X3,X1,X2)
            | sP28(X0,X4,X3,X1,X2) )
        | ~ initiates(X0,X1,X2) ) ),
    inference(nnf_transformation,[],[f125]) ).

fof(f216,plain,
    ! [X0,X1,X2] :
      ( ( initiates(X0,X1,X2)
        | ! [X3,X4] :
            ( ( push(X3,X4) != X0
              | forwards(X4) != X1
              | happens(pull(X3,X4),X2) )
            & ~ sP29(X0,X4,X3,X1,X2)
            & ~ sP28(X0,X4,X3,X1,X2) ) )
      & ( ? [X5,X6] :
            ( ( push(X5,X6) = X0
              & forwards(X6) = X1
              & ~ happens(pull(X5,X6),X2) )
            | sP29(X0,X6,X5,X1,X2)
            | sP28(X0,X6,X5,X1,X2) )
        | ~ initiates(X0,X1,X2) ) ),
    inference(rectify,[],[f215]) ).

fof(f217,plain,
    ! [X0,X1,X2] :
      ( ( initiates(X0,X1,X2)
        | ! [X3,X4] :
            ( ( push(X3,X4) != X0
              | forwards(X4) != X1
              | happens(pull(X3,X4),X2) )
            & ~ sP29(X0,X4,X3,X1,X2)
            & ~ sP28(X0,X4,X3,X1,X2) ) )
      & ( ( push(sK40(X0,X1,X2),sK41(X0,X1,X2)) = X0
          & forwards(sK41(X0,X1,X2)) = X1
          & ~ happens(pull(sK40(X0,X1,X2),sK41(X0,X1,X2)),X2) )
        | sP29(X0,sK41(X0,X1,X2),sK40(X0,X1,X2),X1,X2)
        | sP28(X0,sK41(X0,X1,X2),sK40(X0,X1,X2),X1,X2)
        | ~ initiates(X0,X1,X2) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK40,sK41]),skolemize(X5,sK40(X0,X1,X2)),skolemize(X6,sK41(X0,X1,X2))],[f216]) ).

fof(f327,plain,
    ( ~ holdsAt(spinning(trolley1),n1)
    | ~ holdsAt(spinning(trolley2),n1)
    | ~ holdsAt(spinning(trolley3),n1)
    | ~ holdsAt(spinning(trolley4),n1)
    | ~ holdsAt(spinning(trolley5),n1)
    | ~ holdsAt(spinning(trolley6),n1)
    | ~ holdsAt(spinning(trolley7),n1)
    | ~ holdsAt(spinning(trolley8),n1)
    | ~ holdsAt(spinning(trolley9),n1) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f331,plain,
    n1 = plus(n0,n1),
    inference(cnf_transformation,[],[f23]) ).

fof(f340,plain,
    ! [X2,X0,X1] :
      ( ~ initiates(X0,X2,X1)
      | ~ happens(X0,X1)
      | holdsAt(X2,plus(X1,n1)) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f353,plain,
    ! [X0,X1] :
      ( ~ sP0(X0,X1)
      | sP15(X0,X1) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f354,plain,
    ! [X0,X1] :
      ( ~ sP1(X0,X1)
      | sP15(X0,X1) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f355,plain,
    ! [X0,X1] :
      ( ~ sP2(X0,X1)
      | sP15(X0,X1) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f356,plain,
    ! [X0,X1] :
      ( ~ sP3(X0,X1)
      | sP15(X0,X1) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f357,plain,
    ! [X0,X1] :
      ( ~ sP4(X0,X1)
      | sP15(X0,X1) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f358,plain,
    ! [X0,X1] :
      ( ~ sP5(X0,X1)
      | sP15(X0,X1) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f359,plain,
    ! [X0,X1] :
      ( ~ sP6(X0,X1)
      | sP15(X0,X1) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f360,plain,
    ! [X0,X1] :
      ( ~ sP7(X0,X1)
      | sP15(X0,X1) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f361,plain,
    ! [X0,X1] :
      ( ~ sP8(X0,X1)
      | sP15(X0,X1) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f362,plain,
    ! [X0,X1] :
      ( ~ sP9(X0,X1)
      | sP15(X0,X1) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f363,plain,
    ! [X0,X1] :
      ( ~ sP10(X0,X1)
      | sP15(X0,X1) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f364,plain,
    ! [X0,X1] :
      ( ~ sP11(X0,X1)
      | sP15(X0,X1) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f365,plain,
    ! [X0,X1] :
      ( ~ sP12(X0,X1)
      | sP15(X0,X1) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f366,plain,
    ! [X0,X1] :
      ( ~ sP13(X0,X1)
      | sP15(X0,X1) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f367,plain,
    ! [X0,X1] :
      ( ~ sP14(X0,X1)
      | sP15(X0,X1) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f368,plain,
    ! [X0,X1] :
      ( sP15(X0,X1)
      | pull(agent2,trolley2) != X0
      | n0 != X1 ),
    inference(cnf_transformation,[],[f133]) ).

fof(f369,plain,
    ! [X0,X1] :
      ( sP15(X0,X1)
      | push(agent1,trolley1) != X0
      | n0 != X1 ),
    inference(cnf_transformation,[],[f133]) ).

fof(f370,plain,
    ! [X0,X1] :
      ( sP15(X0,X1)
      | pull(agent1,trolley1) != X0
      | n0 != X1 ),
    inference(cnf_transformation,[],[f133]) ).

fof(f373,plain,
    ! [X0,X1] :
      ( sP14(X0,X1)
      | push(agent2,trolley2) != X0
      | n0 != X1 ),
    inference(cnf_transformation,[],[f135]) ).

fof(f376,plain,
    ! [X0,X1] :
      ( sP13(X0,X1)
      | pull(agent3,trolley3) != X0
      | n0 != X1 ),
    inference(cnf_transformation,[],[f137]) ).

fof(f379,plain,
    ! [X0,X1] :
      ( sP12(X0,X1)
      | push(agent3,trolley3) != X0
      | n0 != X1 ),
    inference(cnf_transformation,[],[f139]) ).

fof(f382,plain,
    ! [X0,X1] :
      ( sP11(X0,X1)
      | pull(agent4,trolley4) != X0
      | n0 != X1 ),
    inference(cnf_transformation,[],[f141]) ).

fof(f385,plain,
    ! [X0,X1] :
      ( sP10(X0,X1)
      | push(agent4,trolley4) != X0
      | n0 != X1 ),
    inference(cnf_transformation,[],[f143]) ).

fof(f388,plain,
    ! [X0,X1] :
      ( sP9(X0,X1)
      | pull(agent5,trolley5) != X0
      | n0 != X1 ),
    inference(cnf_transformation,[],[f145]) ).

fof(f391,plain,
    ! [X0,X1] :
      ( sP8(X0,X1)
      | push(agent5,trolley5) != X0
      | n0 != X1 ),
    inference(cnf_transformation,[],[f147]) ).

fof(f394,plain,
    ! [X0,X1] :
      ( sP7(X0,X1)
      | pull(agent6,trolley6) != X0
      | n0 != X1 ),
    inference(cnf_transformation,[],[f149]) ).

fof(f397,plain,
    ! [X0,X1] :
      ( sP6(X0,X1)
      | push(agent6,trolley6) != X0
      | n0 != X1 ),
    inference(cnf_transformation,[],[f151]) ).

fof(f400,plain,
    ! [X0,X1] :
      ( sP5(X0,X1)
      | pull(agent7,trolley7) != X0
      | n0 != X1 ),
    inference(cnf_transformation,[],[f153]) ).

fof(f403,plain,
    ! [X0,X1] :
      ( sP4(X0,X1)
      | push(agent7,trolley7) != X0
      | n0 != X1 ),
    inference(cnf_transformation,[],[f155]) ).

fof(f406,plain,
    ! [X0,X1] :
      ( sP3(X0,X1)
      | pull(agent8,trolley8) != X0
      | n0 != X1 ),
    inference(cnf_transformation,[],[f157]) ).

fof(f409,plain,
    ! [X0,X1] :
      ( sP2(X0,X1)
      | push(agent8,trolley8) != X0
      | n0 != X1 ),
    inference(cnf_transformation,[],[f159]) ).

fof(f412,plain,
    ! [X0,X1] :
      ( sP1(X0,X1)
      | pull(agent9,trolley9) != X0
      | n0 != X1 ),
    inference(cnf_transformation,[],[f161]) ).

fof(f415,plain,
    ! [X0,X1] :
      ( sP0(X0,X1)
      | push(agent9,trolley9) != X0
      | n0 != X1 ),
    inference(cnf_transformation,[],[f163]) ).

fof(f417,plain,
    ! [X0,X1] :
      ( ~ sP15(X0,X1)
      | happens(X0,X1) ),
    inference(cnf_transformation,[],[f164]) ).

fof(f501,plain,
    ! [X2,X3,X0,X1,X4] :
      ( sP28(X0,X1,X2,X3,X4)
      | pull(X2,X1) != X0
      | spinning(X1) != X3
      | ~ happens(push(X2,X1),X4) ),
    inference(cnf_transformation,[],[f214]) ).

fof(f505,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ sP28(X0,X4,X3,X1,X2)
      | initiates(X0,X1,X2) ),
    inference(cnf_transformation,[],[f217]) ).

fof(f530,plain,
    ! [X1] :
      ( sP15(pull(agent1,trolley1),X1)
      | n0 != X1 ),
    inference(equality_resolution,[],[f370]) ).

fof(f531,plain,
    sP15(pull(agent1,trolley1),n0),
    inference(equality_resolution,[],[f530]) ).

fof(f532,plain,
    ! [X1] :
      ( sP15(push(agent1,trolley1),X1)
      | n0 != X1 ),
    inference(equality_resolution,[],[f369]) ).

fof(f533,plain,
    sP15(push(agent1,trolley1),n0),
    inference(equality_resolution,[],[f532]) ).

fof(f534,plain,
    ! [X1] :
      ( sP15(pull(agent2,trolley2),X1)
      | n0 != X1 ),
    inference(equality_resolution,[],[f368]) ).

fof(f535,plain,
    sP15(pull(agent2,trolley2),n0),
    inference(equality_resolution,[],[f534]) ).

fof(f536,plain,
    ! [X1] :
      ( sP14(push(agent2,trolley2),X1)
      | n0 != X1 ),
    inference(equality_resolution,[],[f373]) ).

fof(f537,plain,
    sP14(push(agent2,trolley2),n0),
    inference(equality_resolution,[],[f536]) ).

fof(f538,plain,
    ! [X1] :
      ( sP13(pull(agent3,trolley3),X1)
      | n0 != X1 ),
    inference(equality_resolution,[],[f376]) ).

fof(f539,plain,
    sP13(pull(agent3,trolley3),n0),
    inference(equality_resolution,[],[f538]) ).

fof(f540,plain,
    ! [X1] :
      ( sP12(push(agent3,trolley3),X1)
      | n0 != X1 ),
    inference(equality_resolution,[],[f379]) ).

fof(f541,plain,
    sP12(push(agent3,trolley3),n0),
    inference(equality_resolution,[],[f540]) ).

fof(f542,plain,
    ! [X1] :
      ( sP11(pull(agent4,trolley4),X1)
      | n0 != X1 ),
    inference(equality_resolution,[],[f382]) ).

fof(f543,plain,
    sP11(pull(agent4,trolley4),n0),
    inference(equality_resolution,[],[f542]) ).

fof(f544,plain,
    ! [X1] :
      ( sP10(push(agent4,trolley4),X1)
      | n0 != X1 ),
    inference(equality_resolution,[],[f385]) ).

fof(f545,plain,
    sP10(push(agent4,trolley4),n0),
    inference(equality_resolution,[],[f544]) ).

fof(f546,plain,
    ! [X1] :
      ( sP9(pull(agent5,trolley5),X1)
      | n0 != X1 ),
    inference(equality_resolution,[],[f388]) ).

fof(f547,plain,
    sP9(pull(agent5,trolley5),n0),
    inference(equality_resolution,[],[f546]) ).

fof(f548,plain,
    ! [X1] :
      ( sP8(push(agent5,trolley5),X1)
      | n0 != X1 ),
    inference(equality_resolution,[],[f391]) ).

fof(f549,plain,
    sP8(push(agent5,trolley5),n0),
    inference(equality_resolution,[],[f548]) ).

fof(f550,plain,
    ! [X1] :
      ( sP7(pull(agent6,trolley6),X1)
      | n0 != X1 ),
    inference(equality_resolution,[],[f394]) ).

fof(f551,plain,
    sP7(pull(agent6,trolley6),n0),
    inference(equality_resolution,[],[f550]) ).

fof(f552,plain,
    ! [X1] :
      ( sP6(push(agent6,trolley6),X1)
      | n0 != X1 ),
    inference(equality_resolution,[],[f397]) ).

fof(f553,plain,
    sP6(push(agent6,trolley6),n0),
    inference(equality_resolution,[],[f552]) ).

fof(f554,plain,
    ! [X1] :
      ( sP5(pull(agent7,trolley7),X1)
      | n0 != X1 ),
    inference(equality_resolution,[],[f400]) ).

fof(f555,plain,
    sP5(pull(agent7,trolley7),n0),
    inference(equality_resolution,[],[f554]) ).

fof(f556,plain,
    ! [X1] :
      ( sP4(push(agent7,trolley7),X1)
      | n0 != X1 ),
    inference(equality_resolution,[],[f403]) ).

fof(f557,plain,
    sP4(push(agent7,trolley7),n0),
    inference(equality_resolution,[],[f556]) ).

fof(f558,plain,
    ! [X1] :
      ( sP3(pull(agent8,trolley8),X1)
      | n0 != X1 ),
    inference(equality_resolution,[],[f406]) ).

fof(f559,plain,
    sP3(pull(agent8,trolley8),n0),
    inference(equality_resolution,[],[f558]) ).

fof(f560,plain,
    ! [X1] :
      ( sP2(push(agent8,trolley8),X1)
      | n0 != X1 ),
    inference(equality_resolution,[],[f409]) ).

fof(f561,plain,
    sP2(push(agent8,trolley8),n0),
    inference(equality_resolution,[],[f560]) ).

fof(f562,plain,
    ! [X1] :
      ( sP1(pull(agent9,trolley9),X1)
      | n0 != X1 ),
    inference(equality_resolution,[],[f412]) ).

fof(f563,plain,
    sP1(pull(agent9,trolley9),n0),
    inference(equality_resolution,[],[f562]) ).

fof(f564,plain,
    ! [X1] :
      ( sP0(push(agent9,trolley9),X1)
      | n0 != X1 ),
    inference(equality_resolution,[],[f415]) ).

fof(f565,plain,
    sP0(push(agent9,trolley9),n0),
    inference(equality_resolution,[],[f564]) ).

fof(f594,plain,
    ! [X2,X3,X1,X4] :
      ( sP28(pull(X2,X1),X1,X2,X3,X4)
      | spinning(X1) != X3
      | ~ happens(push(X2,X1),X4) ),
    inference(equality_resolution,[],[f501]) ).

fof(f595,plain,
    ! [X2,X1,X4] :
      ( sP28(pull(X2,X1),X1,X2,spinning(X1),X4)
      | ~ happens(push(X2,X1),X4) ),
    inference(equality_resolution,[],[f594]) ).

fof(f623,definition,
    ( spl44_1
  <=> holdsAt(spinning(trolley9),n1) ),
    introduced(definition,[new_symbols(definition,[spl44_1])],[avatar_definition]) ).

fof(f625,plain,
    ( ~ holdsAt(spinning(trolley9),n1)
    | spl44_1 ),
    inference(avatar_component_clause,[],[f623]) ).

fof(f627,definition,
    ( spl44_2
  <=> holdsAt(spinning(trolley8),n1) ),
    introduced(definition,[new_symbols(definition,[spl44_2])],[avatar_definition]) ).

fof(f631,definition,
    ( spl44_3
  <=> holdsAt(spinning(trolley7),n1) ),
    introduced(definition,[new_symbols(definition,[spl44_3])],[avatar_definition]) ).

fof(f635,definition,
    ( spl44_4
  <=> holdsAt(spinning(trolley6),n1) ),
    introduced(definition,[new_symbols(definition,[spl44_4])],[avatar_definition]) ).

fof(f639,definition,
    ( spl44_5
  <=> holdsAt(spinning(trolley5),n1) ),
    introduced(definition,[new_symbols(definition,[spl44_5])],[avatar_definition]) ).

fof(f643,definition,
    ( spl44_6
  <=> holdsAt(spinning(trolley4),n1) ),
    introduced(definition,[new_symbols(definition,[spl44_6])],[avatar_definition]) ).

fof(f647,definition,
    ( spl44_7
  <=> holdsAt(spinning(trolley3),n1) ),
    introduced(definition,[new_symbols(definition,[spl44_7])],[avatar_definition]) ).

fof(f651,definition,
    ( spl44_8
  <=> holdsAt(spinning(trolley2),n1) ),
    introduced(definition,[new_symbols(definition,[spl44_8])],[avatar_definition]) ).

fof(f655,definition,
    ( spl44_9
  <=> holdsAt(spinning(trolley1),n1) ),
    introduced(definition,[new_symbols(definition,[spl44_9])],[avatar_definition]) ).

fof(f658,plain,
    ( ~ spl44_1
    | ~ spl44_2
    | ~ spl44_3
    | ~ spl44_4
    | ~ spl44_5
    | ~ spl44_6
    | ~ spl44_7
    | ~ spl44_8
    | ~ spl44_9 ),
    inference(avatar_split_clause,[],[f327,f655,f651,f647,f643,f639,f635,f631,f627,f623]) ).

fof(f759,plain,
    sP15(push(agent9,trolley9),n0),
    inference(resolution,[],[f353,f565]) ).

fof(f760,plain,
    sP15(pull(agent9,trolley9),n0),
    inference(resolution,[],[f354,f563]) ).

fof(f761,plain,
    sP15(push(agent8,trolley8),n0),
    inference(resolution,[],[f355,f561]) ).

fof(f762,plain,
    sP15(pull(agent8,trolley8),n0),
    inference(resolution,[],[f356,f559]) ).

fof(f763,plain,
    sP15(push(agent7,trolley7),n0),
    inference(resolution,[],[f357,f557]) ).

fof(f764,plain,
    sP15(pull(agent7,trolley7),n0),
    inference(resolution,[],[f358,f555]) ).

fof(f765,plain,
    sP15(push(agent6,trolley6),n0),
    inference(resolution,[],[f359,f553]) ).

fof(f766,plain,
    sP15(pull(agent6,trolley6),n0),
    inference(resolution,[],[f360,f551]) ).

fof(f767,plain,
    sP15(push(agent5,trolley5),n0),
    inference(resolution,[],[f361,f549]) ).

fof(f768,plain,
    sP15(pull(agent5,trolley5),n0),
    inference(resolution,[],[f362,f547]) ).

fof(f769,plain,
    sP15(push(agent4,trolley4),n0),
    inference(resolution,[],[f363,f545]) ).

fof(f770,plain,
    sP15(pull(agent4,trolley4),n0),
    inference(resolution,[],[f364,f543]) ).

fof(f771,plain,
    sP15(push(agent3,trolley3),n0),
    inference(resolution,[],[f365,f541]) ).

fof(f772,plain,
    sP15(pull(agent3,trolley3),n0),
    inference(resolution,[],[f366,f539]) ).

fof(f773,plain,
    sP15(push(agent2,trolley2),n0),
    inference(resolution,[],[f367,f537]) ).

fof(f789,plain,
    happens(pull(agent1,trolley1),n0),
    inference(resolution,[],[f417,f531]) ).

fof(f790,plain,
    happens(pull(agent2,trolley2),n0),
    inference(resolution,[],[f417,f535]) ).

fof(f791,plain,
    happens(pull(agent3,trolley3),n0),
    inference(resolution,[],[f417,f772]) ).

fof(f792,plain,
    happens(pull(agent4,trolley4),n0),
    inference(resolution,[],[f417,f770]) ).

fof(f793,plain,
    happens(pull(agent5,trolley5),n0),
    inference(resolution,[],[f417,f768]) ).

fof(f794,plain,
    happens(pull(agent6,trolley6),n0),
    inference(resolution,[],[f417,f766]) ).

fof(f795,plain,
    happens(pull(agent7,trolley7),n0),
    inference(resolution,[],[f417,f764]) ).

fof(f796,plain,
    happens(pull(agent8,trolley8),n0),
    inference(resolution,[],[f417,f762]) ).

fof(f797,plain,
    happens(pull(agent9,trolley9),n0),
    inference(resolution,[],[f417,f760]) ).

fof(f798,plain,
    happens(push(agent1,trolley1),n0),
    inference(resolution,[],[f417,f533]) ).

fof(f799,plain,
    happens(push(agent2,trolley2),n0),
    inference(resolution,[],[f417,f773]) ).

fof(f800,plain,
    happens(push(agent3,trolley3),n0),
    inference(resolution,[],[f417,f771]) ).

fof(f801,plain,
    happens(push(agent4,trolley4),n0),
    inference(resolution,[],[f417,f769]) ).

fof(f802,plain,
    happens(push(agent5,trolley5),n0),
    inference(resolution,[],[f417,f767]) ).

fof(f803,plain,
    happens(push(agent6,trolley6),n0),
    inference(resolution,[],[f417,f765]) ).

fof(f804,plain,
    happens(push(agent7,trolley7),n0),
    inference(resolution,[],[f417,f763]) ).

fof(f805,plain,
    happens(push(agent8,trolley8),n0),
    inference(resolution,[],[f417,f761]) ).

fof(f806,plain,
    happens(push(agent9,trolley9),n0),
    inference(resolution,[],[f417,f759]) ).

fof(f993,plain,
    ! [X2,X0,X1] :
      ( initiates(pull(X0,X1),spinning(X1),X2)
      | ~ happens(push(X0,X1),X2) ),
    inference(resolution,[],[f595,f505]) ).

fof(f1091,plain,
    ! [X2,X0,X1] :
      ( ~ happens(pull(X0,X1),X2)
      | ~ happens(push(X0,X1),X2)
      | holdsAt(spinning(X1),plus(X2,n1)) ),
    inference(resolution,[],[f993,f340]) ).

fof(f1503,plain,
    ( ~ happens(push(agent1,trolley1),n0)
    | holdsAt(spinning(trolley1),plus(n0,n1)) ),
    inference(resolution,[],[f1091,f789]) ).

fof(f1504,plain,
    ( ~ happens(push(agent2,trolley2),n0)
    | holdsAt(spinning(trolley2),plus(n0,n1)) ),
    inference(resolution,[],[f1091,f790]) ).

fof(f1505,plain,
    ( ~ happens(push(agent3,trolley3),n0)
    | holdsAt(spinning(trolley3),plus(n0,n1)) ),
    inference(resolution,[],[f1091,f791]) ).

fof(f1506,plain,
    ( ~ happens(push(agent4,trolley4),n0)
    | holdsAt(spinning(trolley4),plus(n0,n1)) ),
    inference(resolution,[],[f1091,f792]) ).

fof(f1507,plain,
    ( ~ happens(push(agent5,trolley5),n0)
    | holdsAt(spinning(trolley5),plus(n0,n1)) ),
    inference(resolution,[],[f1091,f793]) ).

fof(f1508,plain,
    ( ~ happens(push(agent6,trolley6),n0)
    | holdsAt(spinning(trolley6),plus(n0,n1)) ),
    inference(resolution,[],[f1091,f794]) ).

fof(f1509,plain,
    ( ~ happens(push(agent7,trolley7),n0)
    | holdsAt(spinning(trolley7),plus(n0,n1)) ),
    inference(resolution,[],[f1091,f795]) ).

fof(f1510,plain,
    ( ~ happens(push(agent8,trolley8),n0)
    | holdsAt(spinning(trolley8),plus(n0,n1)) ),
    inference(resolution,[],[f1091,f796]) ).

fof(f1511,plain,
    ( ~ happens(push(agent9,trolley9),n0)
    | holdsAt(spinning(trolley9),plus(n0,n1)) ),
    inference(resolution,[],[f1091,f797]) ).

fof(f1512,plain,
    holdsAt(spinning(trolley9),plus(n0,n1)),
    inference(forward_subsumption_resolution,[],[f1511,f806]) ).

fof(f1513,plain,
    holdsAt(spinning(trolley8),plus(n0,n1)),
    inference(forward_subsumption_resolution,[],[f1510,f805]) ).

fof(f1514,plain,
    holdsAt(spinning(trolley7),plus(n0,n1)),
    inference(forward_subsumption_resolution,[],[f1509,f804]) ).

fof(f1515,plain,
    holdsAt(spinning(trolley6),plus(n0,n1)),
    inference(forward_subsumption_resolution,[],[f1508,f803]) ).

fof(f1516,plain,
    holdsAt(spinning(trolley5),plus(n0,n1)),
    inference(forward_subsumption_resolution,[],[f1507,f802]) ).

fof(f1517,plain,
    holdsAt(spinning(trolley4),plus(n0,n1)),
    inference(forward_subsumption_resolution,[],[f1506,f801]) ).

fof(f1518,plain,
    holdsAt(spinning(trolley3),plus(n0,n1)),
    inference(forward_subsumption_resolution,[],[f1505,f800]) ).

fof(f1519,plain,
    holdsAt(spinning(trolley2),plus(n0,n1)),
    inference(forward_subsumption_resolution,[],[f1504,f799]) ).

fof(f1520,plain,
    holdsAt(spinning(trolley1),plus(n0,n1)),
    inference(forward_subsumption_resolution,[],[f1503,f798]) ).

fof(f1521,plain,
    holdsAt(spinning(trolley9),n1),
    inference(forward_demodulation,[],[f1512,f331]) ).

fof(f1522,plain,
    holdsAt(spinning(trolley8),n1),
    inference(forward_demodulation,[],[f1513,f331]) ).

fof(f1523,plain,
    holdsAt(spinning(trolley7),n1),
    inference(forward_demodulation,[],[f1514,f331]) ).

fof(f1524,plain,
    holdsAt(spinning(trolley6),n1),
    inference(forward_demodulation,[],[f1515,f331]) ).

fof(f1525,plain,
    holdsAt(spinning(trolley5),n1),
    inference(forward_demodulation,[],[f1516,f331]) ).

fof(f1526,plain,
    holdsAt(spinning(trolley4),n1),
    inference(forward_demodulation,[],[f1517,f331]) ).

fof(f1527,plain,
    holdsAt(spinning(trolley3),n1),
    inference(forward_demodulation,[],[f1518,f331]) ).

fof(f1528,plain,
    holdsAt(spinning(trolley2),n1),
    inference(forward_demodulation,[],[f1519,f331]) ).

fof(f1529,plain,
    holdsAt(spinning(trolley1),n1),
    inference(forward_demodulation,[],[f1520,f331]) ).

fof(f1530,plain,
    ( $false
    | spl44_1 ),
    inference(forward_subsumption_resolution,[],[f1521,f625]) ).

fof(f1531,plain,
    spl44_1,
    inference(avatar_contradiction_clause,[],[f1530]) ).

fof(f1532,plain,
    spl44_2,
    inference(avatar_split_clause,[],[f1522,f627]) ).

fof(f1533,plain,
    spl44_3,
    inference(avatar_split_clause,[],[f1523,f631]) ).

fof(f1534,plain,
    spl44_4,
    inference(avatar_split_clause,[],[f1524,f635]) ).

fof(f1535,plain,
    spl44_5,
    inference(avatar_split_clause,[],[f1525,f639]) ).

fof(f1536,plain,
    spl44_6,
    inference(avatar_split_clause,[],[f1526,f643]) ).

fof(f1537,plain,
    spl44_7,
    inference(avatar_split_clause,[],[f1527,f647]) ).

fof(f1538,plain,
    spl44_8,
    inference(avatar_split_clause,[],[f1528,f651]) ).

fof(f1539,plain,
    spl44_9,
    inference(avatar_split_clause,[],[f1529,f655]) ).

cnf(s1,plain,
    ( ~ spl44_1
    | ~ spl44_2
    | ~ spl44_3
    | ~ spl44_4
    | ~ spl44_5
    | ~ spl44_6
    | ~ spl44_7
    | ~ spl44_8
    | ~ spl44_9 ),
    inference(sat_conversion,[],[f658]) ).

cnf(s4,plain,
    spl44_1,
    inference(sat_conversion,[],[f1531]) ).

cnf(s5,plain,
    spl44_2,
    inference(sat_conversion,[],[f1532]) ).

cnf(s6,plain,
    spl44_3,
    inference(sat_conversion,[],[f1533]) ).

cnf(s7,plain,
    spl44_4,
    inference(sat_conversion,[],[f1534]) ).

cnf(s8,plain,
    spl44_5,
    inference(sat_conversion,[],[f1535]) ).

cnf(s9,plain,
    spl44_6,
    inference(sat_conversion,[],[f1536]) ).

cnf(s10,plain,
    spl44_7,
    inference(sat_conversion,[],[f1537]) ).

cnf(s11,plain,
    spl44_8,
    inference(sat_conversion,[],[f1538]) ).

cnf(s12,plain,
    spl44_9,
    inference(sat_conversion,[],[f1539]) ).

cnf(s14,plain,
    $false,
    inference(rat,[],[s1,s12,s11,s10,s9,s8,s7,s6,s5,s4]) ).

fof(f1540,plain,
    $false,
    inference(avatar_sat_refutation,[],[s14]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR024+1.009 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19  % Computer : n002.cluster.edu
% 0.09/0.19  % Model    : x86_64 x86_64
% 0.09/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19  % Memory   : 8046.5625MB
% 0.09/0.19  % OS       : Linux 6.8.0-71-generic
% 0.09/0.19  % CPULimit : 300
% 0.09/0.19  % WCLimit  : 300
% 0.09/0.19  % DateTime : Mon Sep 28 22:08:37 UTC 2026
% 0.09/0.20  % CPUTime  : 
% 0.09/0.20  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23  Running first-order theorem proving
% 0.09/0.23  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.68/1.38  % (828916)Detected formulas, will run a generic FOF schedule.
% 4.68/1.38  % (829012)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3425510792:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.68/1.38  % (829014)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1518294675:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.68/1.38  % (829008)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=4155684336:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.68/1.38  % (829011)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=200445964:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.68/1.38  % (829017)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1452055093:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.68/1.38  % (829020)dis-21_1_sil=8000:lcm=predicate:random_seed=3086743688:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 4.68/1.38  % (829018)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1801591470:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.68/1.38  % (829014)Refutation not found, incomplete strategy
% 4.68/1.38  % (829014)------------------------------
% 4.68/1.38  % (829014)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.68/1.38  % (829014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.68/1.38  % (829014)CaDiCaL version: 2.1.3
% 4.68/1.38  % (829014)Termination reason: Refutation not found, incomplete strategy
% 4.68/1.38  % (829014)Time elapsed: 0.015 s
% 4.68/1.38  % (829014)Peak memory usage: 88 MB
% 4.68/1.38  % (829014)Instructions burned: 31 (million)
% 4.68/1.38  % (829020)Instruction limit reached! 
% 4.68/1.38  % (829020)------------------------------
% 4.68/1.38  % (829020)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.68/1.38  % (829020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.68/1.38  % (829020)CaDiCaL version: 2.1.3
% 4.68/1.38  % (829020)Termination reason: Instruction limit
% 4.68/1.38  % (829020)Termination phase: Saturation
% 4.68/1.38  % (829020)Time elapsed: 0.073 s
% 4.68/1.38  % (829020)Peak memory usage: 90 MB
% 4.68/1.38  % (829020)Instructions burned: 130 (million)
% 4.68/1.38  % (829017)Instruction limit reached! 
% 4.68/1.38  % (829017)------------------------------
% 4.68/1.38  % (829017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.68/1.38  % (829017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.68/1.38  % (829017)CaDiCaL version: 2.1.3
% 4.68/1.38  % (829017)Termination reason: Instruction limit
% 4.68/1.38  % (829017)Termination phase: Saturation
% 4.68/1.38  % (829017)Time elapsed: 0.092 s
% 4.68/1.38  % (829017)Peak memory usage: 88 MB
% 4.68/1.38  % (829017)Instructions burned: 120 (million)
% 4.68/1.38  % (829018)Instruction limit reached! 
% 4.68/1.38  % (829018)------------------------------
% 4.68/1.38  % (829018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.68/1.38  % (829018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.68/1.38  % (829018)CaDiCaL version: 2.1.3
% 4.68/1.38  % (829018)Termination reason: Instruction limit
% 4.68/1.38  % (829018)Termination phase: Saturation
% 4.68/1.38  % (829018)Time elapsed: 0.112 s
% 4.68/1.38  % (829018)Peak memory usage: 90 MB
% 4.68/1.38  % (829018)Instructions burned: 140 (million)
% 4.68/1.38  % (829076)lrs+10_1_sil=8000:sp=occurrence:random_seed=3250130611:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.68/1.38  % (829080)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3252897558:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.68/1.38  % (829014)------------------------------
% 4.68/1.38  % (829014)------------------------------
% 4.68/1.38  % (829080)Refutation not found, incomplete strategy
% 4.68/1.38  % (829080)------------------------------
% 4.68/1.38  % (829080)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.68/1.38  % (829080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.68/1.38  % (829080)CaDiCaL version: 2.1.3
% 4.68/1.38  % (829080)Termination reason: Refutation not found, incomplete strategy
% 4.68/1.38  % (829080)Time elapsed: 0.003 s
% 4.68/1.38  % (829080)Peak memory usage: 88 MB
% 4.68/1.38  % (829080)Instructions burned: 3 (million)
% 4.68/1.38  % (829081)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3847467529:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.68/1.38  % (829076)First to succeed.
% 4.68/1.38  % (829076)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-828916"
% 4.68/1.38  % (829086)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=710086545:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 4.68/1.38  % (829081)Instruction limit reached! 
% 4.68/1.38  % (829081)------------------------------
% 4.68/1.38  % (829081)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.68/1.38  % (829081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.68/1.38  % (829081)CaDiCaL version: 2.1.3
% 4.68/1.38  % (829081)Termination reason: Instruction limit
% 4.68/1.38  % (829081)Termination phase: Saturation
% 4.68/1.38  % (829081)Time elapsed: 0.192 s
% 4.68/1.38  % (829081)Peak memory usage: 91 MB
% 4.68/1.38  % (829081)Instructions burned: 325 (million)
% 4.68/1.38  % (829080)------------------------------
% 4.68/1.38  % (829080)------------------------------
% 4.68/1.38  % (829076)Refutation found. Thanks to Tanya!
% 4.68/1.38  % SZS status Theorem for theBenchmark
% 4.68/1.38  % SZS output start Proof for theBenchmark
% See solution above
% 5.60/1.58  % (829076)------------------------------
% 5.60/1.58  % (829076)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.60/1.58  % (829076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.58  % (829076)CaDiCaL version: 2.1.3
% 5.60/1.58  % (829076)Termination reason: Refutation
% 5.60/1.58  % (829076)Time elapsed: 0.035 s
% 5.60/1.58  % (829076)Peak memory usage: 90 MB
% 5.60/1.58  % (829076)Instructions burned: 59 (million)
% 5.60/1.58  % (829076)------------------------------
% 5.60/1.58  % (829076)------------------------------
% 5.60/1.58  % (828916)Success in time 0.71 s
% 5.60/1.58  % Vampire exiting
%------------------------------------------------------------------------------