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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : CSR024+1.010 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n005.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 : Fri Sep 25 01:09:55 PM UTC 2026

% Result   : Theorem 2.81s 1.75s
% Output   : CNFRefutation 2.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   35
% Syntax   : Number of formulae    :  361 ( 101 unt;  30 def)
%            Number of atoms       : 1222 ( 426 equ)
%            Maximal formula atoms :   48 (   3 avg)
%            Number of connectives : 1274 ( 505   ~; 534   |; 210   &)
%                                         (  24 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   35 (  33 usr;  11 prp; 0-5 aty)
%            Number of functors    :   30 (  30 usr;  22 con; 0-3 aty)
%            Number of variables   :  493 (   0 sgn 485   !;   8   ?; 200   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f9,axiom,
    ! [X0,X1,X2] :
      ( ( initiates(X0,X2,X1)
        & happens(X0,X1) )
     => holdsAt(X2,plus(X1,n1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',happens_holds) ).

fof(f13,axiom,
    ! [X0,X1,X2] :
      ( initiates(X0,X1,X2)
    <=> ? [X3,X4] :
          ( ( happens(push(X3,X4),X2)
            & X1 = spinning(X4)
            & X0 = pull(X3,X4) )
          | ( ~ happens(push(X3,X4),X2)
            & X1 = backwards(X4)
            & X0 = pull(X3,X4) )
          | ( ~ happens(pull(X3,X4),X2)
            & X1 = forwards(X4)
            & X0 = push(X3,X4) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR001+3.ax',initiates_all_defn) ).

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

fof(f45,axiom,
    ! [X0,X1] :
      ( happens(X0,X1)
    <=> ( ( X1 = n0
          & X0 = push(agent10,trolley10) )
        | ( X1 = n0
          & X0 = pull(agent10,trolley10) )
        | ( X1 = n0
          & X0 = push(agent9,trolley9) )
        | ( X1 = n0
          & X0 = pull(agent9,trolley9) )
        | ( X1 = n0
          & X0 = push(agent8,trolley8) )
        | ( X1 = n0
          & X0 = pull(agent8,trolley8) )
        | ( X1 = n0
          & X0 = push(agent7,trolley7) )
        | ( X1 = n0
          & X0 = pull(agent7,trolley7) )
        | ( X1 = n0
          & X0 = push(agent6,trolley6) )
        | ( X1 = n0
          & X0 = pull(agent6,trolley6) )
        | ( X1 = n0
          & X0 = push(agent5,trolley5) )
        | ( X1 = n0
          & X0 = pull(agent5,trolley5) )
        | ( X1 = n0
          & X0 = push(agent4,trolley4) )
        | ( X1 = n0
          & X0 = pull(agent4,trolley4) )
        | ( X1 = n0
          & X0 = push(agent3,trolley3) )
        | ( X1 = n0
          & X0 = pull(agent3,trolley3) )
        | ( X1 = n0
          & X0 = push(agent2,trolley2) )
        | ( X1 = n0
          & X0 = pull(agent2,trolley2) )
        | ( X1 = n0
          & X0 = push(agent1,trolley1) )
        | ( X1 = n0
          & X0 = pull(agent1,trolley1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',happens_all_defn) ).

fof(f49,conjecture,
    ( holdsAt(spinning(trolley10),n1)
    & holdsAt(spinning(trolley9),n1)
    & holdsAt(spinning(trolley8),n1)
    & holdsAt(spinning(trolley7),n1)
    & holdsAt(spinning(trolley6),n1)
    & holdsAt(spinning(trolley5),n1)
    & holdsAt(spinning(trolley4),n1)
    & holdsAt(spinning(trolley3),n1)
    & holdsAt(spinning(trolley2),n1)
    & holdsAt(spinning(trolley1),n1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',spinning_3) ).

fof(f50,negated_conjecture,
    ~ ( holdsAt(spinning(trolley10),n1)
      & holdsAt(spinning(trolley9),n1)
      & holdsAt(spinning(trolley8),n1)
      & holdsAt(spinning(trolley7),n1)
      & holdsAt(spinning(trolley6),n1)
      & holdsAt(spinning(trolley5),n1)
      & holdsAt(spinning(trolley4),n1)
      & holdsAt(spinning(trolley3),n1)
      & holdsAt(spinning(trolley2),n1)
      & holdsAt(spinning(trolley1),n1) ),
    inference(negated_conjecture,[status(cth)],[f49]) ).

fof(f65,plain,
    ! [X0,X1,X2] :
      ( ~ initiates(X0,X2,X1)
      | ~ happens(X0,X1)
      | holdsAt(X2,plus(X1,n1)) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f66,plain,
    ! [X0,X1,X2] :
      ( ~ initiates(X0,X2,X1)
      | ~ happens(X0,X1)
      | holdsAt(X2,plus(X1,n1)) ),
    inference(flattening,[],[f65]) ).

fof(f78,plain,
    ( ~ holdsAt(spinning(trolley10),n1)
    | ~ holdsAt(spinning(trolley9),n1)
    | ~ holdsAt(spinning(trolley8),n1)
    | ~ holdsAt(spinning(trolley7),n1)
    | ~ holdsAt(spinning(trolley6),n1)
    | ~ holdsAt(spinning(trolley5),n1)
    | ~ holdsAt(spinning(trolley4),n1)
    | ~ holdsAt(spinning(trolley3),n1)
    | ~ holdsAt(spinning(trolley2),n1)
    | ~ holdsAt(spinning(trolley1),n1) ),
    inference(ennf_transformation,[],[f50]) ).

fof(f118,plain,
    ! [X0,X1,X2] :
      ( ( ~ initiates(X0,X1,X2)
        | ? [X3,X4] :
            ( sP0(X0,X4,X3,X1,X2)
            | sP1(X0,X4,X3,X1,X2)
            | ( ~ happens(pull(X3,X4),X2)
              & X1 = forwards(X4)
              & X0 = push(X3,X4) ) ) )
      & ( ! [X3,X4] :
            ( ~ sP0(X0,X4,X3,X1,X2)
            & ~ sP1(X0,X4,X3,X1,X2)
            & ( happens(pull(X3,X4),X2)
              | forwards(X4) != X1
              | push(X3,X4) != X0 ) )
        | initiates(X0,X1,X2) ) ),
    inference(nnf_transformation,[],[f81]) ).

fof(f119,plain,
    ! [X0,X1,X2] :
      ( ( ~ initiates(X0,X1,X2)
        | ? [X5,X6] :
            ( sP0(X0,X6,X5,X1,X2)
            | sP1(X0,X6,X5,X1,X2)
            | ( ~ happens(pull(X5,X6),X2)
              & forwards(X6) = X1
              & push(X5,X6) = X0 ) ) )
      & ( ! [X3,X4] :
            ( ~ sP0(X0,X4,X3,X1,X2)
            & ~ sP1(X0,X4,X3,X1,X2)
            & ( happens(pull(X3,X4),X2)
              | forwards(X4) != X1
              | push(X3,X4) != X0 ) )
        | initiates(X0,X1,X2) ) ),
    inference(rectify,[],[f118]) ).

fof(f120,plain,
    ! [X0,X1,X2] :
      ( ( ~ initiates(X0,X1,X2)
        | sP0(X0,sK31(X0,X1,X2),sK30(X0,X1,X2),X1,X2)
        | sP1(X0,sK31(X0,X1,X2),sK30(X0,X1,X2),X1,X2)
        | ( ~ happens(pull(sK30(X0,X1,X2),sK31(X0,X1,X2)),X2)
          & forwards(sK31(X0,X1,X2)) = X1
          & push(sK30(X0,X1,X2),sK31(X0,X1,X2)) = X0 ) )
      & ( ! [X3,X4] :
            ( ~ sP0(X0,X4,X3,X1,X2)
            & ~ sP1(X0,X4,X3,X1,X2)
            & ( happens(pull(X3,X4),X2)
              | forwards(X4) != X1
              | push(X3,X4) != X0 ) )
        | initiates(X0,X1,X2) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK30,sK31]),skolemize(X5,sK30(X0,X1,X2)),skolemize(X6,sK31(X0,X1,X2))],[f119]) ).

fof(f153,plain,
    ! [X0,X1] :
      ( ( ~ sP25(X0,X1)
        | sP8(X0,X1)
        | sP9(X0,X1)
        | sP10(X0,X1)
        | sP11(X0,X1)
        | sP12(X0,X1)
        | sP13(X0,X1)
        | sP14(X0,X1)
        | sP15(X0,X1)
        | sP16(X0,X1)
        | sP17(X0,X1)
        | sP18(X0,X1)
        | sP19(X0,X1)
        | sP20(X0,X1)
        | sP21(X0,X1)
        | sP22(X0,X1)
        | sP23(X0,X1)
        | sP24(X0,X1)
        | ( X1 = n0
          & X0 = pull(agent2,trolley2) )
        | ( X1 = n0
          & X0 = push(agent1,trolley1) )
        | ( X1 = n0
          & X0 = pull(agent1,trolley1) ) )
      & ( ( ~ sP8(X0,X1)
          & ~ sP9(X0,X1)
          & ~ sP10(X0,X1)
          & ~ sP11(X0,X1)
          & ~ sP12(X0,X1)
          & ~ sP13(X0,X1)
          & ~ sP14(X0,X1)
          & ~ sP15(X0,X1)
          & ~ sP16(X0,X1)
          & ~ sP17(X0,X1)
          & ~ sP18(X0,X1)
          & ~ sP19(X0,X1)
          & ~ sP20(X0,X1)
          & ~ sP21(X0,X1)
          & ~ sP22(X0,X1)
          & ~ sP23(X0,X1)
          & ~ sP24(X0,X1)
          & ( n0 != X1
            | pull(agent2,trolley2) != X0 )
          & ( n0 != X1
            | push(agent1,trolley1) != X0 )
          & ( n0 != X1
            | pull(agent1,trolley1) != X0 ) )
        | sP25(X0,X1) ) ),
    inference(nnf_transformation,[],[f106]) ).

fof(f154,plain,
    ! [X0,X1] :
      ( ( ~ sP25(X0,X1)
        | sP8(X0,X1)
        | sP9(X0,X1)
        | sP10(X0,X1)
        | sP11(X0,X1)
        | sP12(X0,X1)
        | sP13(X0,X1)
        | sP14(X0,X1)
        | sP15(X0,X1)
        | sP16(X0,X1)
        | sP17(X0,X1)
        | sP18(X0,X1)
        | sP19(X0,X1)
        | sP20(X0,X1)
        | sP21(X0,X1)
        | sP22(X0,X1)
        | sP23(X0,X1)
        | sP24(X0,X1)
        | ( X1 = n0
          & X0 = pull(agent2,trolley2) )
        | ( X1 = n0
          & X0 = push(agent1,trolley1) )
        | ( X1 = n0
          & X0 = pull(agent1,trolley1) ) )
      & ( ( ~ sP8(X0,X1)
          & ~ sP9(X0,X1)
          & ~ sP10(X0,X1)
          & ~ sP11(X0,X1)
          & ~ sP12(X0,X1)
          & ~ sP13(X0,X1)
          & ~ sP14(X0,X1)
          & ~ sP15(X0,X1)
          & ~ sP16(X0,X1)
          & ~ sP17(X0,X1)
          & ~ sP18(X0,X1)
          & ~ sP19(X0,X1)
          & ~ sP20(X0,X1)
          & ~ sP21(X0,X1)
          & ~ sP22(X0,X1)
          & ~ sP23(X0,X1)
          & ~ sP24(X0,X1)
          & ( n0 != X1
            | pull(agent2,trolley2) != X0 )
          & ( n0 != X1
            | push(agent1,trolley1) != X0 )
          & ( n0 != X1
            | pull(agent1,trolley1) != X0 ) )
        | sP25(X0,X1) ) ),
    inference(flattening,[],[f153]) ).

fof(f155,plain,
    ! [X0,X1] :
      ( ( ~ sP24(X0,X1)
        | ( X1 = n0
          & X0 = push(agent2,trolley2) ) )
      & ( n0 != X1
        | push(agent2,trolley2) != X0
        | sP24(X0,X1) ) ),
    inference(nnf_transformation,[],[f105]) ).

fof(f156,plain,
    ! [X0,X1] :
      ( ( ~ sP24(X0,X1)
        | ( X1 = n0
          & X0 = push(agent2,trolley2) ) )
      & ( n0 != X1
        | push(agent2,trolley2) != X0
        | sP24(X0,X1) ) ),
    inference(flattening,[],[f155]) ).

fof(f157,plain,
    ! [X0,X1] :
      ( ( ~ sP23(X0,X1)
        | ( X1 = n0
          & X0 = pull(agent3,trolley3) ) )
      & ( n0 != X1
        | pull(agent3,trolley3) != X0
        | sP23(X0,X1) ) ),
    inference(nnf_transformation,[],[f104]) ).

fof(f158,plain,
    ! [X0,X1] :
      ( ( ~ sP23(X0,X1)
        | ( X1 = n0
          & X0 = pull(agent3,trolley3) ) )
      & ( n0 != X1
        | pull(agent3,trolley3) != X0
        | sP23(X0,X1) ) ),
    inference(flattening,[],[f157]) ).

fof(f159,plain,
    ! [X0,X1] :
      ( ( ~ sP22(X0,X1)
        | ( X1 = n0
          & X0 = push(agent3,trolley3) ) )
      & ( n0 != X1
        | push(agent3,trolley3) != X0
        | sP22(X0,X1) ) ),
    inference(nnf_transformation,[],[f103]) ).

fof(f160,plain,
    ! [X0,X1] :
      ( ( ~ sP22(X0,X1)
        | ( X1 = n0
          & X0 = push(agent3,trolley3) ) )
      & ( n0 != X1
        | push(agent3,trolley3) != X0
        | sP22(X0,X1) ) ),
    inference(flattening,[],[f159]) ).

fof(f161,plain,
    ! [X0,X1] :
      ( ( ~ sP21(X0,X1)
        | ( X1 = n0
          & X0 = pull(agent4,trolley4) ) )
      & ( n0 != X1
        | pull(agent4,trolley4) != X0
        | sP21(X0,X1) ) ),
    inference(nnf_transformation,[],[f102]) ).

fof(f162,plain,
    ! [X0,X1] :
      ( ( ~ sP21(X0,X1)
        | ( X1 = n0
          & X0 = pull(agent4,trolley4) ) )
      & ( n0 != X1
        | pull(agent4,trolley4) != X0
        | sP21(X0,X1) ) ),
    inference(flattening,[],[f161]) ).

fof(f163,plain,
    ! [X0,X1] :
      ( ( ~ sP20(X0,X1)
        | ( X1 = n0
          & X0 = push(agent4,trolley4) ) )
      & ( n0 != X1
        | push(agent4,trolley4) != X0
        | sP20(X0,X1) ) ),
    inference(nnf_transformation,[],[f101]) ).

fof(f164,plain,
    ! [X0,X1] :
      ( ( ~ sP20(X0,X1)
        | ( X1 = n0
          & X0 = push(agent4,trolley4) ) )
      & ( n0 != X1
        | push(agent4,trolley4) != X0
        | sP20(X0,X1) ) ),
    inference(flattening,[],[f163]) ).

fof(f165,plain,
    ! [X0,X1] :
      ( ( ~ sP19(X0,X1)
        | ( X1 = n0
          & X0 = pull(agent5,trolley5) ) )
      & ( n0 != X1
        | pull(agent5,trolley5) != X0
        | sP19(X0,X1) ) ),
    inference(nnf_transformation,[],[f100]) ).

fof(f166,plain,
    ! [X0,X1] :
      ( ( ~ sP19(X0,X1)
        | ( X1 = n0
          & X0 = pull(agent5,trolley5) ) )
      & ( n0 != X1
        | pull(agent5,trolley5) != X0
        | sP19(X0,X1) ) ),
    inference(flattening,[],[f165]) ).

fof(f167,plain,
    ! [X0,X1] :
      ( ( ~ sP18(X0,X1)
        | ( X1 = n0
          & X0 = push(agent5,trolley5) ) )
      & ( n0 != X1
        | push(agent5,trolley5) != X0
        | sP18(X0,X1) ) ),
    inference(nnf_transformation,[],[f99]) ).

fof(f168,plain,
    ! [X0,X1] :
      ( ( ~ sP18(X0,X1)
        | ( X1 = n0
          & X0 = push(agent5,trolley5) ) )
      & ( n0 != X1
        | push(agent5,trolley5) != X0
        | sP18(X0,X1) ) ),
    inference(flattening,[],[f167]) ).

fof(f169,plain,
    ! [X0,X1] :
      ( ( ~ sP17(X0,X1)
        | ( X1 = n0
          & X0 = pull(agent6,trolley6) ) )
      & ( n0 != X1
        | pull(agent6,trolley6) != X0
        | sP17(X0,X1) ) ),
    inference(nnf_transformation,[],[f98]) ).

fof(f170,plain,
    ! [X0,X1] :
      ( ( ~ sP17(X0,X1)
        | ( X1 = n0
          & X0 = pull(agent6,trolley6) ) )
      & ( n0 != X1
        | pull(agent6,trolley6) != X0
        | sP17(X0,X1) ) ),
    inference(flattening,[],[f169]) ).

fof(f171,plain,
    ! [X0,X1] :
      ( ( ~ sP16(X0,X1)
        | ( X1 = n0
          & X0 = push(agent6,trolley6) ) )
      & ( n0 != X1
        | push(agent6,trolley6) != X0
        | sP16(X0,X1) ) ),
    inference(nnf_transformation,[],[f97]) ).

fof(f172,plain,
    ! [X0,X1] :
      ( ( ~ sP16(X0,X1)
        | ( X1 = n0
          & X0 = push(agent6,trolley6) ) )
      & ( n0 != X1
        | push(agent6,trolley6) != X0
        | sP16(X0,X1) ) ),
    inference(flattening,[],[f171]) ).

fof(f173,plain,
    ! [X0,X1] :
      ( ( ~ sP15(X0,X1)
        | ( X1 = n0
          & X0 = pull(agent7,trolley7) ) )
      & ( n0 != X1
        | pull(agent7,trolley7) != X0
        | sP15(X0,X1) ) ),
    inference(nnf_transformation,[],[f96]) ).

fof(f174,plain,
    ! [X0,X1] :
      ( ( ~ sP15(X0,X1)
        | ( X1 = n0
          & X0 = pull(agent7,trolley7) ) )
      & ( n0 != X1
        | pull(agent7,trolley7) != X0
        | sP15(X0,X1) ) ),
    inference(flattening,[],[f173]) ).

fof(f175,plain,
    ! [X0,X1] :
      ( ( ~ sP14(X0,X1)
        | ( X1 = n0
          & X0 = push(agent7,trolley7) ) )
      & ( n0 != X1
        | push(agent7,trolley7) != X0
        | sP14(X0,X1) ) ),
    inference(nnf_transformation,[],[f95]) ).

fof(f176,plain,
    ! [X0,X1] :
      ( ( ~ sP14(X0,X1)
        | ( X1 = n0
          & X0 = push(agent7,trolley7) ) )
      & ( n0 != X1
        | push(agent7,trolley7) != X0
        | sP14(X0,X1) ) ),
    inference(flattening,[],[f175]) ).

fof(f177,plain,
    ! [X0,X1] :
      ( ( ~ sP13(X0,X1)
        | ( X1 = n0
          & X0 = pull(agent8,trolley8) ) )
      & ( n0 != X1
        | pull(agent8,trolley8) != X0
        | sP13(X0,X1) ) ),
    inference(nnf_transformation,[],[f94]) ).

fof(f178,plain,
    ! [X0,X1] :
      ( ( ~ sP13(X0,X1)
        | ( X1 = n0
          & X0 = pull(agent8,trolley8) ) )
      & ( n0 != X1
        | pull(agent8,trolley8) != X0
        | sP13(X0,X1) ) ),
    inference(flattening,[],[f177]) ).

fof(f179,plain,
    ! [X0,X1] :
      ( ( ~ sP12(X0,X1)
        | ( X1 = n0
          & X0 = push(agent8,trolley8) ) )
      & ( n0 != X1
        | push(agent8,trolley8) != X0
        | sP12(X0,X1) ) ),
    inference(nnf_transformation,[],[f93]) ).

fof(f180,plain,
    ! [X0,X1] :
      ( ( ~ sP12(X0,X1)
        | ( X1 = n0
          & X0 = push(agent8,trolley8) ) )
      & ( n0 != X1
        | push(agent8,trolley8) != X0
        | sP12(X0,X1) ) ),
    inference(flattening,[],[f179]) ).

fof(f181,plain,
    ! [X0,X1] :
      ( ( ~ sP11(X0,X1)
        | ( X1 = n0
          & X0 = pull(agent9,trolley9) ) )
      & ( n0 != X1
        | pull(agent9,trolley9) != X0
        | sP11(X0,X1) ) ),
    inference(nnf_transformation,[],[f92]) ).

fof(f182,plain,
    ! [X0,X1] :
      ( ( ~ sP11(X0,X1)
        | ( X1 = n0
          & X0 = pull(agent9,trolley9) ) )
      & ( n0 != X1
        | pull(agent9,trolley9) != X0
        | sP11(X0,X1) ) ),
    inference(flattening,[],[f181]) ).

fof(f183,plain,
    ! [X0,X1] :
      ( ( ~ sP10(X0,X1)
        | ( X1 = n0
          & X0 = push(agent9,trolley9) ) )
      & ( n0 != X1
        | push(agent9,trolley9) != X0
        | sP10(X0,X1) ) ),
    inference(nnf_transformation,[],[f91]) ).

fof(f184,plain,
    ! [X0,X1] :
      ( ( ~ sP10(X0,X1)
        | ( X1 = n0
          & X0 = push(agent9,trolley9) ) )
      & ( n0 != X1
        | push(agent9,trolley9) != X0
        | sP10(X0,X1) ) ),
    inference(flattening,[],[f183]) ).

fof(f185,plain,
    ! [X0,X1] :
      ( ( ~ sP9(X0,X1)
        | ( X1 = n0
          & X0 = pull(agent10,trolley10) ) )
      & ( n0 != X1
        | pull(agent10,trolley10) != X0
        | sP9(X0,X1) ) ),
    inference(nnf_transformation,[],[f90]) ).

fof(f186,plain,
    ! [X0,X1] :
      ( ( ~ sP9(X0,X1)
        | ( X1 = n0
          & X0 = pull(agent10,trolley10) ) )
      & ( n0 != X1
        | pull(agent10,trolley10) != X0
        | sP9(X0,X1) ) ),
    inference(flattening,[],[f185]) ).

fof(f189,plain,
    ! [X0,X1] :
      ( ( ~ happens(X0,X1)
        | sP25(X0,X1) )
      & ( ~ sP25(X0,X1)
        | happens(X0,X1) ) ),
    inference(nnf_transformation,[],[f107]) ).

fof(f198,plain,
    ! [X2,X0,X1] :
      ( ~ initiates(X0,X2,X1)
      | ~ happens(X0,X1)
      | holdsAt(X2,plus(X1,n1)) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f214,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ sP0(X0,X4,X3,X1,X2)
      | initiates(X0,X1,X2) ),
    inference(cnf_transformation,[],[f120]) ).

fof(f256,plain,
    n1 = plus(n0,n1),
    inference(cnf_transformation,[],[f23]) ).

fof(f299,plain,
    ! [X0,X1] :
      ( ~ sP8(X0,X1)
      | sP25(X0,X1) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f300,plain,
    ! [X0,X1] :
      ( ~ sP9(X0,X1)
      | sP25(X0,X1) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f301,plain,
    ! [X0,X1] :
      ( ~ sP10(X0,X1)
      | sP25(X0,X1) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f302,plain,
    ! [X0,X1] :
      ( ~ sP11(X0,X1)
      | sP25(X0,X1) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f303,plain,
    ! [X0,X1] :
      ( ~ sP12(X0,X1)
      | sP25(X0,X1) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f304,plain,
    ! [X0,X1] :
      ( ~ sP13(X0,X1)
      | sP25(X0,X1) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f305,plain,
    ! [X0,X1] :
      ( ~ sP14(X0,X1)
      | sP25(X0,X1) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f306,plain,
    ! [X0,X1] :
      ( ~ sP15(X0,X1)
      | sP25(X0,X1) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f307,plain,
    ! [X0,X1] :
      ( ~ sP16(X0,X1)
      | sP25(X0,X1) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f308,plain,
    ! [X0,X1] :
      ( ~ sP17(X0,X1)
      | sP25(X0,X1) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f309,plain,
    ! [X0,X1] :
      ( ~ sP18(X0,X1)
      | sP25(X0,X1) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f310,plain,
    ! [X0,X1] :
      ( ~ sP19(X0,X1)
      | sP25(X0,X1) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f311,plain,
    ! [X0,X1] :
      ( ~ sP20(X0,X1)
      | sP25(X0,X1) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f312,plain,
    ! [X0,X1] :
      ( ~ sP21(X0,X1)
      | sP25(X0,X1) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f313,plain,
    ! [X0,X1] :
      ( ~ sP22(X0,X1)
      | sP25(X0,X1) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f314,plain,
    ! [X0,X1] :
      ( ~ sP23(X0,X1)
      | sP25(X0,X1) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f315,plain,
    ! [X0,X1] :
      ( ~ sP24(X0,X1)
      | sP25(X0,X1) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f316,plain,
    ! [X0,X1] :
      ( n0 != X1
      | pull(agent2,trolley2) != X0
      | sP25(X0,X1) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f317,plain,
    ! [X0,X1] :
      ( n0 != X1
      | push(agent1,trolley1) != X0
      | sP25(X0,X1) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f318,plain,
    ! [X0,X1] :
      ( n0 != X1
      | pull(agent1,trolley1) != X0
      | sP25(X0,X1) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f321,plain,
    ! [X0,X1] :
      ( n0 != X1
      | push(agent2,trolley2) != X0
      | sP24(X0,X1) ),
    inference(cnf_transformation,[],[f156]) ).

fof(f324,plain,
    ! [X0,X1] :
      ( n0 != X1
      | pull(agent3,trolley3) != X0
      | sP23(X0,X1) ),
    inference(cnf_transformation,[],[f158]) ).

fof(f327,plain,
    ! [X0,X1] :
      ( n0 != X1
      | push(agent3,trolley3) != X0
      | sP22(X0,X1) ),
    inference(cnf_transformation,[],[f160]) ).

fof(f330,plain,
    ! [X0,X1] :
      ( n0 != X1
      | pull(agent4,trolley4) != X0
      | sP21(X0,X1) ),
    inference(cnf_transformation,[],[f162]) ).

fof(f333,plain,
    ! [X0,X1] :
      ( n0 != X1
      | push(agent4,trolley4) != X0
      | sP20(X0,X1) ),
    inference(cnf_transformation,[],[f164]) ).

fof(f336,plain,
    ! [X0,X1] :
      ( n0 != X1
      | pull(agent5,trolley5) != X0
      | sP19(X0,X1) ),
    inference(cnf_transformation,[],[f166]) ).

fof(f339,plain,
    ! [X0,X1] :
      ( n0 != X1
      | push(agent5,trolley5) != X0
      | sP18(X0,X1) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f342,plain,
    ! [X0,X1] :
      ( n0 != X1
      | pull(agent6,trolley6) != X0
      | sP17(X0,X1) ),
    inference(cnf_transformation,[],[f170]) ).

fof(f345,plain,
    ! [X0,X1] :
      ( n0 != X1
      | push(agent6,trolley6) != X0
      | sP16(X0,X1) ),
    inference(cnf_transformation,[],[f172]) ).

fof(f348,plain,
    ! [X0,X1] :
      ( n0 != X1
      | pull(agent7,trolley7) != X0
      | sP15(X0,X1) ),
    inference(cnf_transformation,[],[f174]) ).

fof(f351,plain,
    ! [X0,X1] :
      ( n0 != X1
      | push(agent7,trolley7) != X0
      | sP14(X0,X1) ),
    inference(cnf_transformation,[],[f176]) ).

fof(f354,plain,
    ! [X0,X1] :
      ( n0 != X1
      | pull(agent8,trolley8) != X0
      | sP13(X0,X1) ),
    inference(cnf_transformation,[],[f178]) ).

fof(f357,plain,
    ! [X0,X1] :
      ( n0 != X1
      | push(agent8,trolley8) != X0
      | sP12(X0,X1) ),
    inference(cnf_transformation,[],[f180]) ).

fof(f360,plain,
    ! [X0,X1] :
      ( n0 != X1
      | pull(agent9,trolley9) != X0
      | sP11(X0,X1) ),
    inference(cnf_transformation,[],[f182]) ).

fof(f363,plain,
    ! [X0,X1] :
      ( n0 != X1
      | push(agent9,trolley9) != X0
      | sP10(X0,X1) ),
    inference(cnf_transformation,[],[f184]) ).

fof(f366,plain,
    ! [X0,X1] :
      ( n0 != X1
      | pull(agent10,trolley10) != X0
      | sP9(X0,X1) ),
    inference(cnf_transformation,[],[f186]) ).

fof(f371,plain,
    ! [X0,X1] :
      ( ~ sP25(X0,X1)
      | happens(X0,X1) ),
    inference(cnf_transformation,[],[f189]) ).

fof(f493,plain,
    ( ~ holdsAt(spinning(trolley10),n1)
    | ~ holdsAt(spinning(trolley9),n1)
    | ~ holdsAt(spinning(trolley8),n1)
    | ~ holdsAt(spinning(trolley7),n1)
    | ~ holdsAt(spinning(trolley6),n1)
    | ~ holdsAt(spinning(trolley5),n1)
    | ~ holdsAt(spinning(trolley4),n1)
    | ~ holdsAt(spinning(trolley3),n1)
    | ~ holdsAt(spinning(trolley2),n1)
    | ~ holdsAt(spinning(trolley1),n1) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f514,plain,
    ! [X1] :
      ( n0 != X1
      | sP25(pull(agent1,trolley1),X1) ),
    inference(equality_resolution,[],[f318]) ).

fof(f515,plain,
    sP25(pull(agent1,trolley1),n0),
    inference(equality_resolution,[],[f514]) ).

fof(f516,plain,
    ! [X1] :
      ( n0 != X1
      | sP25(push(agent1,trolley1),X1) ),
    inference(equality_resolution,[],[f317]) ).

fof(f517,plain,
    sP25(push(agent1,trolley1),n0),
    inference(equality_resolution,[],[f516]) ).

fof(f518,plain,
    ! [X1] :
      ( n0 != X1
      | sP25(pull(agent2,trolley2),X1) ),
    inference(equality_resolution,[],[f316]) ).

fof(f519,plain,
    sP25(pull(agent2,trolley2),n0),
    inference(equality_resolution,[],[f518]) ).

fof(f520,plain,
    ! [X1] :
      ( n0 != X1
      | sP24(push(agent2,trolley2),X1) ),
    inference(equality_resolution,[],[f321]) ).

fof(f521,plain,
    sP24(push(agent2,trolley2),n0),
    inference(equality_resolution,[],[f520]) ).

fof(f522,plain,
    ! [X1] :
      ( n0 != X1
      | sP23(pull(agent3,trolley3),X1) ),
    inference(equality_resolution,[],[f324]) ).

fof(f523,plain,
    sP23(pull(agent3,trolley3),n0),
    inference(equality_resolution,[],[f522]) ).

fof(f524,plain,
    ! [X1] :
      ( n0 != X1
      | sP22(push(agent3,trolley3),X1) ),
    inference(equality_resolution,[],[f327]) ).

fof(f525,plain,
    sP22(push(agent3,trolley3),n0),
    inference(equality_resolution,[],[f524]) ).

fof(f526,plain,
    ! [X1] :
      ( n0 != X1
      | sP21(pull(agent4,trolley4),X1) ),
    inference(equality_resolution,[],[f330]) ).

fof(f527,plain,
    sP21(pull(agent4,trolley4),n0),
    inference(equality_resolution,[],[f526]) ).

fof(f528,plain,
    ! [X1] :
      ( n0 != X1
      | sP20(push(agent4,trolley4),X1) ),
    inference(equality_resolution,[],[f333]) ).

fof(f529,plain,
    sP20(push(agent4,trolley4),n0),
    inference(equality_resolution,[],[f528]) ).

fof(f530,plain,
    ! [X1] :
      ( n0 != X1
      | sP19(pull(agent5,trolley5),X1) ),
    inference(equality_resolution,[],[f336]) ).

fof(f531,plain,
    sP19(pull(agent5,trolley5),n0),
    inference(equality_resolution,[],[f530]) ).

fof(f532,plain,
    ! [X1] :
      ( n0 != X1
      | sP18(push(agent5,trolley5),X1) ),
    inference(equality_resolution,[],[f339]) ).

fof(f533,plain,
    sP18(push(agent5,trolley5),n0),
    inference(equality_resolution,[],[f532]) ).

fof(f534,plain,
    ! [X1] :
      ( n0 != X1
      | sP17(pull(agent6,trolley6),X1) ),
    inference(equality_resolution,[],[f342]) ).

fof(f535,plain,
    sP17(pull(agent6,trolley6),n0),
    inference(equality_resolution,[],[f534]) ).

fof(f536,plain,
    ! [X1] :
      ( n0 != X1
      | sP16(push(agent6,trolley6),X1) ),
    inference(equality_resolution,[],[f345]) ).

fof(f537,plain,
    sP16(push(agent6,trolley6),n0),
    inference(equality_resolution,[],[f536]) ).

fof(f538,plain,
    ! [X1] :
      ( n0 != X1
      | sP15(pull(agent7,trolley7),X1) ),
    inference(equality_resolution,[],[f348]) ).

fof(f539,plain,
    sP15(pull(agent7,trolley7),n0),
    inference(equality_resolution,[],[f538]) ).

fof(f540,plain,
    ! [X1] :
      ( n0 != X1
      | sP14(push(agent7,trolley7),X1) ),
    inference(equality_resolution,[],[f351]) ).

fof(f541,plain,
    sP14(push(agent7,trolley7),n0),
    inference(equality_resolution,[],[f540]) ).

fof(f542,plain,
    ! [X1] :
      ( n0 != X1
      | sP13(pull(agent8,trolley8),X1) ),
    inference(equality_resolution,[],[f354]) ).

fof(f543,plain,
    sP13(pull(agent8,trolley8),n0),
    inference(equality_resolution,[],[f542]) ).

fof(f544,plain,
    ! [X1] :
      ( n0 != X1
      | sP12(push(agent8,trolley8),X1) ),
    inference(equality_resolution,[],[f357]) ).

fof(f545,plain,
    sP12(push(agent8,trolley8),n0),
    inference(equality_resolution,[],[f544]) ).

fof(f546,plain,
    ! [X1] :
      ( n0 != X1
      | sP11(pull(agent9,trolley9),X1) ),
    inference(equality_resolution,[],[f360]) ).

fof(f547,plain,
    sP11(pull(agent9,trolley9),n0),
    inference(equality_resolution,[],[f546]) ).

fof(f548,plain,
    ! [X1] :
      ( n0 != X1
      | sP10(push(agent9,trolley9),X1) ),
    inference(equality_resolution,[],[f363]) ).

fof(f549,plain,
    sP10(push(agent9,trolley9),n0),
    inference(equality_resolution,[],[f548]) ).

fof(f550,plain,
    ! [X1] :
      ( n0 != X1
      | sP9(pull(agent10,trolley10),X1) ),
    inference(equality_resolution,[],[f366]) ).

fof(f551,plain,
    sP9(pull(agent10,trolley10),n0),
    inference(equality_resolution,[],[f550]) ).

tcf(c_57,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( holdsAt(X1,plus(X2,n1))
      | ~ happens(X0,X2)
      | ~ initiates(X0,X1,X2) ),
    inference(cnf_transformation,[],[f198]) ).

tcf(c_72,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( initiates(X0,X3,X4)
      | ~ sP0(X0,X1,X2,X3,X4) ),
    inference(cnf_transformation,[],[f214]) ).

tcf(c_115,plain,
    plus(n0,n1) = n1,
    inference(cnf_transformation,[],[f256]) ).

tcf(c_150,plain,
    sP25(pull(agent1,trolley1),n0),
    inference(cnf_transformation,[],[f515]) ).

tcf(c_151,plain,
    sP25(push(agent1,trolley1),n0),
    inference(cnf_transformation,[],[f517]) ).

tcf(c_152,plain,
    sP25(pull(agent2,trolley2),n0),
    inference(cnf_transformation,[],[f519]) ).

tcf(c_153,plain,
    ! [X0: $i,X1: $i] :
      ( sP25(X0,X1)
      | ~ sP24(X0,X1) ),
    inference(cnf_transformation,[],[f315]) ).

tcf(c_154,plain,
    ! [X0: $i,X1: $i] :
      ( sP25(X0,X1)
      | ~ sP23(X0,X1) ),
    inference(cnf_transformation,[],[f314]) ).

tcf(c_155,plain,
    ! [X0: $i,X1: $i] :
      ( sP25(X0,X1)
      | ~ sP22(X0,X1) ),
    inference(cnf_transformation,[],[f313]) ).

tcf(c_156,plain,
    ! [X0: $i,X1: $i] :
      ( sP25(X0,X1)
      | ~ sP21(X0,X1) ),
    inference(cnf_transformation,[],[f312]) ).

tcf(c_157,plain,
    ! [X0: $i,X1: $i] :
      ( sP25(X0,X1)
      | ~ sP20(X0,X1) ),
    inference(cnf_transformation,[],[f311]) ).

tcf(c_158,plain,
    ! [X0: $i,X1: $i] :
      ( sP25(X0,X1)
      | ~ sP19(X0,X1) ),
    inference(cnf_transformation,[],[f310]) ).

tcf(c_159,plain,
    ! [X0: $i,X1: $i] :
      ( sP25(X0,X1)
      | ~ sP18(X0,X1) ),
    inference(cnf_transformation,[],[f309]) ).

tcf(c_160,plain,
    ! [X0: $i,X1: $i] :
      ( sP25(X0,X1)
      | ~ sP17(X0,X1) ),
    inference(cnf_transformation,[],[f308]) ).

tcf(c_161,plain,
    ! [X0: $i,X1: $i] :
      ( sP25(X0,X1)
      | ~ sP16(X0,X1) ),
    inference(cnf_transformation,[],[f307]) ).

tcf(c_162,plain,
    ! [X0: $i,X1: $i] :
      ( sP25(X0,X1)
      | ~ sP15(X0,X1) ),
    inference(cnf_transformation,[],[f306]) ).

tcf(c_163,plain,
    ! [X0: $i,X1: $i] :
      ( sP25(X0,X1)
      | ~ sP14(X0,X1) ),
    inference(cnf_transformation,[],[f305]) ).

tcf(c_164,plain,
    ! [X0: $i,X1: $i] :
      ( sP25(X0,X1)
      | ~ sP13(X0,X1) ),
    inference(cnf_transformation,[],[f304]) ).

tcf(c_165,plain,
    ! [X0: $i,X1: $i] :
      ( sP25(X0,X1)
      | ~ sP12(X0,X1) ),
    inference(cnf_transformation,[],[f303]) ).

tcf(c_166,plain,
    ! [X0: $i,X1: $i] :
      ( sP25(X0,X1)
      | ~ sP11(X0,X1) ),
    inference(cnf_transformation,[],[f302]) ).

tcf(c_167,plain,
    ! [X0: $i,X1: $i] :
      ( sP25(X0,X1)
      | ~ sP10(X0,X1) ),
    inference(cnf_transformation,[],[f301]) ).

tcf(c_168,plain,
    ! [X0: $i,X1: $i] :
      ( sP25(X0,X1)
      | ~ sP9(X0,X1) ),
    inference(cnf_transformation,[],[f300]) ).

tcf(c_169,plain,
    ! [X0: $i,X1: $i] :
      ( sP25(X0,X1)
      | ~ sP8(X0,X1) ),
    inference(cnf_transformation,[],[f299]) ).

tcf(c_178,plain,
    sP24(push(agent2,trolley2),n0),
    inference(cnf_transformation,[],[f521]) ).

tcf(c_181,plain,
    sP23(pull(agent3,trolley3),n0),
    inference(cnf_transformation,[],[f523]) ).

tcf(c_184,plain,
    sP22(push(agent3,trolley3),n0),
    inference(cnf_transformation,[],[f525]) ).

tcf(c_187,plain,
    sP21(pull(agent4,trolley4),n0),
    inference(cnf_transformation,[],[f527]) ).

tcf(c_190,plain,
    sP20(push(agent4,trolley4),n0),
    inference(cnf_transformation,[],[f529]) ).

tcf(c_193,plain,
    sP19(pull(agent5,trolley5),n0),
    inference(cnf_transformation,[],[f531]) ).

tcf(c_196,plain,
    sP18(push(agent5,trolley5),n0),
    inference(cnf_transformation,[],[f533]) ).

tcf(c_199,plain,
    sP17(pull(agent6,trolley6),n0),
    inference(cnf_transformation,[],[f535]) ).

tcf(c_202,plain,
    sP16(push(agent6,trolley6),n0),
    inference(cnf_transformation,[],[f537]) ).

tcf(c_205,plain,
    sP15(pull(agent7,trolley7),n0),
    inference(cnf_transformation,[],[f539]) ).

tcf(c_208,plain,
    sP14(push(agent7,trolley7),n0),
    inference(cnf_transformation,[],[f541]) ).

tcf(c_211,plain,
    sP13(pull(agent8,trolley8),n0),
    inference(cnf_transformation,[],[f543]) ).

tcf(c_214,plain,
    sP12(push(agent8,trolley8),n0),
    inference(cnf_transformation,[],[f545]) ).

tcf(c_217,plain,
    sP11(pull(agent9,trolley9),n0),
    inference(cnf_transformation,[],[f547]) ).

tcf(c_220,plain,
    sP10(push(agent9,trolley9),n0),
    inference(cnf_transformation,[],[f549]) ).

tcf(c_223,plain,
    sP9(pull(agent10,trolley10),n0),
    inference(cnf_transformation,[],[f551]) ).

tcf(c_229,plain,
    ! [X0: $i,X1: $i] :
      ( happens(X0,X1)
      | ~ sP25(X0,X1) ),
    inference(cnf_transformation,[],[f371]) ).

tcf(c_352,negated_conjecture,
    ( ~ holdsAt(spinning(trolley10),n1)
    | ~ holdsAt(spinning(trolley9),n1)
    | ~ holdsAt(spinning(trolley8),n1)
    | ~ holdsAt(spinning(trolley7),n1)
    | ~ holdsAt(spinning(trolley6),n1)
    | ~ holdsAt(spinning(trolley5),n1)
    | ~ holdsAt(spinning(trolley4),n1)
    | ~ holdsAt(spinning(trolley3),n1)
    | ~ holdsAt(spinning(trolley2),n1)
    | ~ holdsAt(spinning(trolley1),n1) ),
    inference(cnf_transformation,[],[f493]) ).

tcf(c_521,plain,
    ! [X0: $i,X1: $i] :
      ( happens(X0,X1)
      | ~ sP25(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_229]) ).

tcf(c_659,plain,
    ! [X0: $i,X1: $i] :
      ( sP25(X0,X1)
      | ~ sP24(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_153]) ).

tcf(c_665,plain,
    ! [X0: $i,X1: $i] :
      ( sP25(X0,X1)
      | ~ sP23(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_154]) ).

tcf(c_671,plain,
    ! [X0: $i,X1: $i] :
      ( sP25(X0,X1)
      | ~ sP22(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_155]) ).

tcf(c_677,plain,
    ! [X0: $i,X1: $i] :
      ( sP25(X0,X1)
      | ~ sP21(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_156]) ).

tcf(c_683,plain,
    ! [X0: $i,X1: $i] :
      ( sP25(X0,X1)
      | ~ sP20(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_157]) ).

tcf(c_689,plain,
    ! [X0: $i,X1: $i] :
      ( sP25(X0,X1)
      | ~ sP19(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_158]) ).

tcf(c_695,plain,
    ! [X0: $i,X1: $i] :
      ( sP25(X0,X1)
      | ~ sP18(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_159]) ).

tcf(c_701,plain,
    ! [X0: $i,X1: $i] :
      ( sP25(X0,X1)
      | ~ sP17(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_160]) ).

tcf(c_707,plain,
    ! [X0: $i,X1: $i] :
      ( sP25(X0,X1)
      | ~ sP16(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_161]) ).

tcf(c_713,plain,
    ! [X0: $i,X1: $i] :
      ( sP25(X0,X1)
      | ~ sP15(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_162]) ).

tcf(c_719,plain,
    ! [X0: $i,X1: $i] :
      ( sP25(X0,X1)
      | ~ sP14(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_163]) ).

tcf(c_725,plain,
    ! [X0: $i,X1: $i] :
      ( sP25(X0,X1)
      | ~ sP13(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_164]) ).

tcf(c_731,plain,
    ! [X0: $i,X1: $i] :
      ( sP25(X0,X1)
      | ~ sP12(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_165]) ).

tcf(c_737,plain,
    ! [X0: $i,X1: $i] :
      ( sP25(X0,X1)
      | ~ sP11(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_166]) ).

tcf(c_743,plain,
    ! [X0: $i,X1: $i] :
      ( sP25(X0,X1)
      | ~ sP10(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_167]) ).

tcf(c_749,plain,
    ! [X0: $i,X1: $i] :
      ( sP25(X0,X1)
      | ~ sP9(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_168]) ).

tcf(c_755,plain,
    ! [X0: $i,X1: $i] :
      ( sP25(X0,X1)
      | ~ sP8(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_169]) ).

tcf(c_3970,plain,
    ! [X0: $i,X1: $i] :
      ( sP25(X0,X1)
      | ( X1 != n0 )
      | ( push(agent2,trolley2) != X0 ) ),
    inference(resolution_lifted,[status(thm)],[c_659,c_178]) ).

tcf(c_3971,plain,
    sP25(push(agent2,trolley2),n0),
    inference(unflattening,[status(thm)],[c_3970]) ).

tcf(c_4032,plain,
    ! [X0: $i,X1: $i] :
      ( sP25(X0,X1)
      | ( X1 != n0 )
      | ( pull(agent3,trolley3) != X0 ) ),
    inference(resolution_lifted,[status(thm)],[c_665,c_181]) ).

tcf(c_4033,plain,
    sP25(pull(agent3,trolley3),n0),
    inference(unflattening,[status(thm)],[c_4032]) ).

tcf(c_4094,plain,
    ! [X0: $i,X1: $i] :
      ( sP25(X0,X1)
      | ( X1 != n0 )
      | ( push(agent3,trolley3) != X0 ) ),
    inference(resolution_lifted,[status(thm)],[c_671,c_184]) ).

tcf(c_4095,plain,
    sP25(push(agent3,trolley3),n0),
    inference(unflattening,[status(thm)],[c_4094]) ).

tcf(c_4156,plain,
    ! [X0: $i,X1: $i] :
      ( sP25(X0,X1)
      | ( X1 != n0 )
      | ( pull(agent4,trolley4) != X0 ) ),
    inference(resolution_lifted,[status(thm)],[c_677,c_187]) ).

tcf(c_4157,plain,
    sP25(pull(agent4,trolley4),n0),
    inference(unflattening,[status(thm)],[c_4156]) ).

tcf(c_4218,plain,
    ! [X0: $i,X1: $i] :
      ( sP25(X0,X1)
      | ( X1 != n0 )
      | ( push(agent4,trolley4) != X0 ) ),
    inference(resolution_lifted,[status(thm)],[c_683,c_190]) ).

tcf(c_4219,plain,
    sP25(push(agent4,trolley4),n0),
    inference(unflattening,[status(thm)],[c_4218]) ).

tcf(c_4280,plain,
    ! [X0: $i,X1: $i] :
      ( sP25(X0,X1)
      | ( X1 != n0 )
      | ( pull(agent5,trolley5) != X0 ) ),
    inference(resolution_lifted,[status(thm)],[c_689,c_193]) ).

tcf(c_4281,plain,
    sP25(pull(agent5,trolley5),n0),
    inference(unflattening,[status(thm)],[c_4280]) ).

tcf(c_4342,plain,
    ! [X0: $i,X1: $i] :
      ( sP25(X0,X1)
      | ( X1 != n0 )
      | ( push(agent5,trolley5) != X0 ) ),
    inference(resolution_lifted,[status(thm)],[c_695,c_196]) ).

tcf(c_4343,plain,
    sP25(push(agent5,trolley5),n0),
    inference(unflattening,[status(thm)],[c_4342]) ).

tcf(c_4404,plain,
    ! [X0: $i,X1: $i] :
      ( sP25(X0,X1)
      | ( X1 != n0 )
      | ( pull(agent6,trolley6) != X0 ) ),
    inference(resolution_lifted,[status(thm)],[c_701,c_199]) ).

tcf(c_4405,plain,
    sP25(pull(agent6,trolley6),n0),
    inference(unflattening,[status(thm)],[c_4404]) ).

tcf(c_4466,plain,
    ! [X0: $i,X1: $i] :
      ( sP25(X0,X1)
      | ( X1 != n0 )
      | ( push(agent6,trolley6) != X0 ) ),
    inference(resolution_lifted,[status(thm)],[c_707,c_202]) ).

tcf(c_4467,plain,
    sP25(push(agent6,trolley6),n0),
    inference(unflattening,[status(thm)],[c_4466]) ).

tcf(c_4528,plain,
    ! [X0: $i,X1: $i] :
      ( sP25(X0,X1)
      | ( X1 != n0 )
      | ( pull(agent7,trolley7) != X0 ) ),
    inference(resolution_lifted,[status(thm)],[c_713,c_205]) ).

tcf(c_4529,plain,
    sP25(pull(agent7,trolley7),n0),
    inference(unflattening,[status(thm)],[c_4528]) ).

tcf(c_4590,plain,
    ! [X0: $i,X1: $i] :
      ( sP25(X0,X1)
      | ( X1 != n0 )
      | ( push(agent7,trolley7) != X0 ) ),
    inference(resolution_lifted,[status(thm)],[c_719,c_208]) ).

tcf(c_4591,plain,
    sP25(push(agent7,trolley7),n0),
    inference(unflattening,[status(thm)],[c_4590]) ).

tcf(c_4652,plain,
    ! [X0: $i,X1: $i] :
      ( sP25(X0,X1)
      | ( X1 != n0 )
      | ( pull(agent8,trolley8) != X0 ) ),
    inference(resolution_lifted,[status(thm)],[c_725,c_211]) ).

tcf(c_4653,plain,
    sP25(pull(agent8,trolley8),n0),
    inference(unflattening,[status(thm)],[c_4652]) ).

tcf(c_4714,plain,
    ! [X0: $i,X1: $i] :
      ( sP25(X0,X1)
      | ( X1 != n0 )
      | ( push(agent8,trolley8) != X0 ) ),
    inference(resolution_lifted,[status(thm)],[c_731,c_214]) ).

tcf(c_4715,plain,
    sP25(push(agent8,trolley8),n0),
    inference(unflattening,[status(thm)],[c_4714]) ).

tcf(c_4776,plain,
    ! [X0: $i,X1: $i] :
      ( sP25(X0,X1)
      | ( X1 != n0 )
      | ( pull(agent9,trolley9) != X0 ) ),
    inference(resolution_lifted,[status(thm)],[c_737,c_217]) ).

tcf(c_4777,plain,
    sP25(pull(agent9,trolley9),n0),
    inference(unflattening,[status(thm)],[c_4776]) ).

tcf(c_4838,plain,
    ! [X0: $i,X1: $i] :
      ( sP25(X0,X1)
      | ( X1 != n0 )
      | ( push(agent9,trolley9) != X0 ) ),
    inference(resolution_lifted,[status(thm)],[c_743,c_220]) ).

tcf(c_4839,plain,
    sP25(push(agent9,trolley9),n0),
    inference(unflattening,[status(thm)],[c_4838]) ).

tcf(c_4900,plain,
    ! [X0: $i,X1: $i] :
      ( sP25(X0,X1)
      | ( X1 != n0 )
      | ( pull(agent10,trolley10) != X0 ) ),
    inference(resolution_lifted,[status(thm)],[c_749,c_223]) ).

tcf(c_4901,plain,
    sP25(pull(agent10,trolley10),n0),
    inference(unflattening,[status(thm)],[c_4900]) ).

tcf(c_10068,plain,
    ! [X0: $i,X1: $i] :
      ( happens(X0,X1)
      | ( X1 != n0 )
      | ( pull(agent1,trolley1) != X0 ) ),
    inference(resolution_lifted,[status(thm)],[c_150,c_521]) ).

tcf(c_10069,plain,
    happens(pull(agent1,trolley1),n0),
    inference(unflattening,[status(thm)],[c_10068]) ).

tcf(c_10077,plain,
    ! [X0: $i,X1: $i] :
      ( happens(X0,X1)
      | ( X1 != n0 )
      | ( push(agent1,trolley1) != X0 ) ),
    inference(resolution_lifted,[status(thm)],[c_151,c_521]) ).

tcf(c_10078,plain,
    happens(push(agent1,trolley1),n0),
    inference(unflattening,[status(thm)],[c_10077]) ).

tcf(c_10086,plain,
    ! [X0: $i,X1: $i] :
      ( happens(X0,X1)
      | ( X1 != n0 )
      | ( pull(agent2,trolley2) != X0 ) ),
    inference(resolution_lifted,[status(thm)],[c_152,c_521]) ).

tcf(c_10087,plain,
    happens(pull(agent2,trolley2),n0),
    inference(unflattening,[status(thm)],[c_10086]) ).

tcf(c_10095,plain,
    ! [X0: $i,X1: $i] :
      ( happens(X0,X1)
      | ( X1 != n0 )
      | ( push(agent2,trolley2) != X0 ) ),
    inference(resolution_lifted,[status(thm)],[c_521,c_3971]) ).

tcf(c_10096,plain,
    happens(push(agent2,trolley2),n0),
    inference(unflattening,[status(thm)],[c_10095]) ).

tcf(c_10104,plain,
    ! [X0: $i,X1: $i] :
      ( happens(X0,X1)
      | ( X1 != n0 )
      | ( pull(agent3,trolley3) != X0 ) ),
    inference(resolution_lifted,[status(thm)],[c_521,c_4033]) ).

tcf(c_10105,plain,
    happens(pull(agent3,trolley3),n0),
    inference(unflattening,[status(thm)],[c_10104]) ).

tcf(c_10113,plain,
    ! [X0: $i,X1: $i] :
      ( happens(X0,X1)
      | ( X1 != n0 )
      | ( push(agent3,trolley3) != X0 ) ),
    inference(resolution_lifted,[status(thm)],[c_521,c_4095]) ).

tcf(c_10114,plain,
    happens(push(agent3,trolley3),n0),
    inference(unflattening,[status(thm)],[c_10113]) ).

tcf(c_10122,plain,
    ! [X0: $i,X1: $i] :
      ( happens(X0,X1)
      | ( X1 != n0 )
      | ( pull(agent4,trolley4) != X0 ) ),
    inference(resolution_lifted,[status(thm)],[c_521,c_4157]) ).

tcf(c_10123,plain,
    happens(pull(agent4,trolley4),n0),
    inference(unflattening,[status(thm)],[c_10122]) ).

tcf(c_10131,plain,
    ! [X0: $i,X1: $i] :
      ( happens(X0,X1)
      | ( X1 != n0 )
      | ( push(agent4,trolley4) != X0 ) ),
    inference(resolution_lifted,[status(thm)],[c_521,c_4219]) ).

tcf(c_10132,plain,
    happens(push(agent4,trolley4),n0),
    inference(unflattening,[status(thm)],[c_10131]) ).

tcf(c_10140,plain,
    ! [X0: $i,X1: $i] :
      ( happens(X0,X1)
      | ( X1 != n0 )
      | ( pull(agent5,trolley5) != X0 ) ),
    inference(resolution_lifted,[status(thm)],[c_521,c_4281]) ).

tcf(c_10141,plain,
    happens(pull(agent5,trolley5),n0),
    inference(unflattening,[status(thm)],[c_10140]) ).

tcf(c_10149,plain,
    ! [X0: $i,X1: $i] :
      ( happens(X0,X1)
      | ( X1 != n0 )
      | ( push(agent5,trolley5) != X0 ) ),
    inference(resolution_lifted,[status(thm)],[c_521,c_4343]) ).

tcf(c_10150,plain,
    happens(push(agent5,trolley5),n0),
    inference(unflattening,[status(thm)],[c_10149]) ).

tcf(c_10158,plain,
    ! [X0: $i,X1: $i] :
      ( happens(X0,X1)
      | ( X1 != n0 )
      | ( pull(agent6,trolley6) != X0 ) ),
    inference(resolution_lifted,[status(thm)],[c_521,c_4405]) ).

tcf(c_10159,plain,
    happens(pull(agent6,trolley6),n0),
    inference(unflattening,[status(thm)],[c_10158]) ).

tcf(c_10167,plain,
    ! [X0: $i,X1: $i] :
      ( happens(X0,X1)
      | ( X1 != n0 )
      | ( push(agent6,trolley6) != X0 ) ),
    inference(resolution_lifted,[status(thm)],[c_521,c_4467]) ).

tcf(c_10168,plain,
    happens(push(agent6,trolley6),n0),
    inference(unflattening,[status(thm)],[c_10167]) ).

tcf(c_10176,plain,
    ! [X0: $i,X1: $i] :
      ( happens(X0,X1)
      | ( X1 != n0 )
      | ( pull(agent7,trolley7) != X0 ) ),
    inference(resolution_lifted,[status(thm)],[c_521,c_4529]) ).

tcf(c_10177,plain,
    happens(pull(agent7,trolley7),n0),
    inference(unflattening,[status(thm)],[c_10176]) ).

tcf(c_10185,plain,
    ! [X0: $i,X1: $i] :
      ( happens(X0,X1)
      | ( X1 != n0 )
      | ( push(agent7,trolley7) != X0 ) ),
    inference(resolution_lifted,[status(thm)],[c_521,c_4591]) ).

tcf(c_10186,plain,
    happens(push(agent7,trolley7),n0),
    inference(unflattening,[status(thm)],[c_10185]) ).

tcf(c_10194,plain,
    ! [X0: $i,X1: $i] :
      ( happens(X0,X1)
      | ( X1 != n0 )
      | ( pull(agent8,trolley8) != X0 ) ),
    inference(resolution_lifted,[status(thm)],[c_521,c_4653]) ).

tcf(c_10195,plain,
    happens(pull(agent8,trolley8),n0),
    inference(unflattening,[status(thm)],[c_10194]) ).

tcf(c_10203,plain,
    ! [X0: $i,X1: $i] :
      ( happens(X0,X1)
      | ( X1 != n0 )
      | ( push(agent8,trolley8) != X0 ) ),
    inference(resolution_lifted,[status(thm)],[c_521,c_4715]) ).

tcf(c_10204,plain,
    happens(push(agent8,trolley8),n0),
    inference(unflattening,[status(thm)],[c_10203]) ).

tcf(c_10212,plain,
    ! [X0: $i,X1: $i] :
      ( happens(X0,X1)
      | ( X1 != n0 )
      | ( pull(agent9,trolley9) != X0 ) ),
    inference(resolution_lifted,[status(thm)],[c_521,c_4777]) ).

tcf(c_10213,plain,
    happens(pull(agent9,trolley9),n0),
    inference(unflattening,[status(thm)],[c_10212]) ).

tcf(c_10221,plain,
    ! [X0: $i,X1: $i] :
      ( happens(X0,X1)
      | ( X1 != n0 )
      | ( push(agent9,trolley9) != X0 ) ),
    inference(resolution_lifted,[status(thm)],[c_521,c_4839]) ).

tcf(c_10222,plain,
    happens(push(agent9,trolley9),n0),
    inference(unflattening,[status(thm)],[c_10221]) ).

tcf(c_10230,plain,
    ! [X0: $i,X1: $i] :
      ( happens(X0,X1)
      | ( X1 != n0 )
      | ( pull(agent10,trolley10) != X0 ) ),
    inference(resolution_lifted,[status(thm)],[c_521,c_4901]) ).

tcf(c_10231,plain,
    happens(pull(agent10,trolley10),n0),
    inference(unflattening,[status(thm)],[c_10230]) ).

tcf(c_15249,definition,
    iPr_def_10 = spinning(trolley1),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_15250,definition,
    iPr_def_11 = spinning(trolley2),
    introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).

tcf(c_15251,definition,
    iPr_def_12 = spinning(trolley3),
    introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).

tcf(c_15252,definition,
    iPr_def_13 = spinning(trolley4),
    introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).

tcf(c_15253,definition,
    iPr_def_14 = spinning(trolley5),
    introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).

tcf(c_15254,definition,
    iPr_def_15 = spinning(trolley6),
    introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).

tcf(c_15255,definition,
    iPr_def_16 = spinning(trolley7),
    introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).

tcf(c_15256,definition,
    iPr_def_17 = spinning(trolley8),
    introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).

tcf(c_15257,definition,
    iPr_def_18 = spinning(trolley9),
    introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).

tcf(c_15258,definition,
    iPr_def_19 = spinning(trolley10),
    introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).

tcf(c_15259,negated_conjecture,
    ( ~ holdsAt(iPr_def_19,n1)
    | ~ holdsAt(iPr_def_18,n1)
    | ~ holdsAt(iPr_def_17,n1)
    | ~ holdsAt(iPr_def_16,n1)
    | ~ holdsAt(iPr_def_15,n1)
    | ~ holdsAt(iPr_def_14,n1)
    | ~ holdsAt(iPr_def_13,n1)
    | ~ holdsAt(iPr_def_12,n1)
    | ~ holdsAt(iPr_def_11,n1)
    | ~ holdsAt(iPr_def_10,n1) ),
    inference(demodulation,[status(thm)],[c_352,c_15258,c_15257,c_15256,c_15255,c_15254,c_15253,c_15252,c_15251,c_15250,c_15249]) ).

fof(f79,definition,
    ! [X0,X4,X3,X1,X2] :
      ( sP0(X0,X4,X3,X1,X2)
    <=> ( happens(push(X3,X4),X2)
        & X1 = spinning(X4)
        & X0 = pull(X3,X4) ) ),
    introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).

fof(f80,definition,
    ! [X0,X4,X3,X1,X2] :
      ( sP1(X0,X4,X3,X1,X2)
    <=> ( ~ happens(push(X3,X4),X2)
        & X1 = backwards(X4)
        & X0 = pull(X3,X4) ) ),
    introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).

fof(f81,plain,
    ! [X0,X1,X2] :
      ( initiates(X0,X1,X2)
    <=> ? [X3,X4] :
          ( sP0(X0,X4,X3,X1,X2)
          | sP1(X0,X4,X3,X1,X2)
          | ( ~ happens(pull(X3,X4),X2)
            & X1 = forwards(X4)
            & X0 = push(X3,X4) ) ) ),
    inference(definition_folding,[],[f13,f80,f79]) ).

fof(f89,definition,
    ! [X0,X1] :
      ( sP8(X0,X1)
    <=> ( X1 = n0
        & X0 = push(agent10,trolley10) ) ),
    introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).

fof(f90,definition,
    ! [X0,X1] :
      ( sP9(X0,X1)
    <=> ( X1 = n0
        & X0 = pull(agent10,trolley10) ) ),
    introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).

fof(f91,definition,
    ! [X0,X1] :
      ( sP10(X0,X1)
    <=> ( X1 = n0
        & X0 = push(agent9,trolley9) ) ),
    introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).

fof(f92,definition,
    ! [X0,X1] :
      ( sP11(X0,X1)
    <=> ( X1 = n0
        & X0 = pull(agent9,trolley9) ) ),
    introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).

fof(f93,definition,
    ! [X0,X1] :
      ( sP12(X0,X1)
    <=> ( X1 = n0
        & X0 = push(agent8,trolley8) ) ),
    introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).

fof(f94,definition,
    ! [X0,X1] :
      ( sP13(X0,X1)
    <=> ( X1 = n0
        & X0 = pull(agent8,trolley8) ) ),
    introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).

fof(f95,definition,
    ! [X0,X1] :
      ( sP14(X0,X1)
    <=> ( X1 = n0
        & X0 = push(agent7,trolley7) ) ),
    introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).

fof(f96,definition,
    ! [X0,X1] :
      ( sP15(X0,X1)
    <=> ( X1 = n0
        & X0 = pull(agent7,trolley7) ) ),
    introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).

fof(f97,definition,
    ! [X0,X1] :
      ( sP16(X0,X1)
    <=> ( X1 = n0
        & X0 = push(agent6,trolley6) ) ),
    introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).

fof(f98,definition,
    ! [X0,X1] :
      ( sP17(X0,X1)
    <=> ( X1 = n0
        & X0 = pull(agent6,trolley6) ) ),
    introduced(definition,[new_symbols(definition,[sP17])],[predicate_definition_introduction]) ).

fof(f99,definition,
    ! [X0,X1] :
      ( sP18(X0,X1)
    <=> ( X1 = n0
        & X0 = push(agent5,trolley5) ) ),
    introduced(definition,[new_symbols(definition,[sP18])],[predicate_definition_introduction]) ).

fof(f100,definition,
    ! [X0,X1] :
      ( sP19(X0,X1)
    <=> ( X1 = n0
        & X0 = pull(agent5,trolley5) ) ),
    introduced(definition,[new_symbols(definition,[sP19])],[predicate_definition_introduction]) ).

fof(f101,definition,
    ! [X0,X1] :
      ( sP20(X0,X1)
    <=> ( X1 = n0
        & X0 = push(agent4,trolley4) ) ),
    introduced(definition,[new_symbols(definition,[sP20])],[predicate_definition_introduction]) ).

fof(f102,definition,
    ! [X0,X1] :
      ( sP21(X0,X1)
    <=> ( X1 = n0
        & X0 = pull(agent4,trolley4) ) ),
    introduced(definition,[new_symbols(definition,[sP21])],[predicate_definition_introduction]) ).

fof(f103,definition,
    ! [X0,X1] :
      ( sP22(X0,X1)
    <=> ( X1 = n0
        & X0 = push(agent3,trolley3) ) ),
    introduced(definition,[new_symbols(definition,[sP22])],[predicate_definition_introduction]) ).

fof(f104,definition,
    ! [X0,X1] :
      ( sP23(X0,X1)
    <=> ( X1 = n0
        & X0 = pull(agent3,trolley3) ) ),
    introduced(definition,[new_symbols(definition,[sP23])],[predicate_definition_introduction]) ).

fof(f105,definition,
    ! [X0,X1] :
      ( sP24(X0,X1)
    <=> ( X1 = n0
        & X0 = push(agent2,trolley2) ) ),
    introduced(definition,[new_symbols(definition,[sP24])],[predicate_definition_introduction]) ).

fof(f106,definition,
    ! [X0,X1] :
      ( sP25(X0,X1)
    <=> ( sP8(X0,X1)
        | sP9(X0,X1)
        | sP10(X0,X1)
        | sP11(X0,X1)
        | sP12(X0,X1)
        | sP13(X0,X1)
        | sP14(X0,X1)
        | sP15(X0,X1)
        | sP16(X0,X1)
        | sP17(X0,X1)
        | sP18(X0,X1)
        | sP19(X0,X1)
        | sP20(X0,X1)
        | sP21(X0,X1)
        | sP22(X0,X1)
        | sP23(X0,X1)
        | sP24(X0,X1)
        | ( X1 = n0
          & X0 = pull(agent2,trolley2) )
        | ( X1 = n0
          & X0 = push(agent1,trolley1) )
        | ( X1 = n0
          & X0 = pull(agent1,trolley1) ) ) ),
    introduced(definition,[new_symbols(definition,[sP25])],[predicate_definition_introduction]) ).

fof(f107,plain,
    ! [X0,X1] :
      ( happens(X0,X1)
    <=> sP25(X0,X1) ),
    inference(definition_folding,[],[f45,f106,f105,f104,f103,f102,f101,f100,f99,f98,f97,f96,f95,f94,f93,f92,f91,f90,f89]) ).

fof(f115,plain,
    ! [X0,X4,X3,X1,X2] :
      ( ( ~ sP0(X0,X4,X3,X1,X2)
        | ( happens(push(X3,X4),X2)
          & X1 = spinning(X4)
          & X0 = pull(X3,X4) ) )
      & ( ~ happens(push(X3,X4),X2)
        | spinning(X4) != X1
        | pull(X3,X4) != X0
        | sP0(X0,X4,X3,X1,X2) ) ),
    inference(nnf_transformation,[],[f79]) ).

fof(f116,plain,
    ! [X0,X4,X3,X1,X2] :
      ( ( ~ sP0(X0,X4,X3,X1,X2)
        | ( happens(push(X3,X4),X2)
          & X1 = spinning(X4)
          & X0 = pull(X3,X4) ) )
      & ( ~ happens(push(X3,X4),X2)
        | spinning(X4) != X1
        | pull(X3,X4) != X0
        | sP0(X0,X4,X3,X1,X2) ) ),
    inference(flattening,[],[f115]) ).

fof(f117,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( ~ sP0(X0,X1,X2,X3,X4)
        | ( happens(push(X2,X1),X4)
          & spinning(X1) = X3
          & pull(X2,X1) = X0 ) )
      & ( ~ happens(push(X2,X1),X4)
        | spinning(X1) != X3
        | pull(X2,X1) != X0
        | sP0(X0,X1,X2,X3,X4) ) ),
    inference(rectify,[],[f116]) ).

fof(f187,plain,
    ! [X0,X1] :
      ( ( ~ sP8(X0,X1)
        | ( X1 = n0
          & X0 = push(agent10,trolley10) ) )
      & ( n0 != X1
        | push(agent10,trolley10) != X0
        | sP8(X0,X1) ) ),
    inference(nnf_transformation,[],[f89]) ).

fof(f188,plain,
    ! [X0,X1] :
      ( ( ~ sP8(X0,X1)
        | ( X1 = n0
          & X0 = push(agent10,trolley10) ) )
      & ( n0 != X1
        | push(agent10,trolley10) != X0
        | sP8(X0,X1) ) ),
    inference(flattening,[],[f187]) ).

fof(f210,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ happens(push(X2,X1),X4)
      | spinning(X1) != X3
      | pull(X2,X1) != X0
      | sP0(X0,X1,X2,X3,X4) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f369,plain,
    ! [X0,X1] :
      ( n0 != X1
      | push(agent10,trolley10) != X0
      | sP8(X0,X1) ),
    inference(cnf_transformation,[],[f188]) ).

fof(f496,plain,
    ! [X2,X3,X1,X4] :
      ( ~ happens(push(X2,X1),X4)
      | spinning(X1) != X3
      | sP0(pull(X2,X1),X1,X2,X3,X4) ),
    inference(equality_resolution,[],[f210]) ).

fof(f497,plain,
    ! [X2,X1,X4] :
      ( ~ happens(push(X2,X1),X4)
      | sP0(pull(X2,X1),X1,X2,spinning(X1),X4) ),
    inference(equality_resolution,[],[f496]) ).

fof(f552,plain,
    ! [X1] :
      ( n0 != X1
      | sP8(push(agent10,trolley10),X1) ),
    inference(equality_resolution,[],[f369]) ).

fof(f553,plain,
    sP8(push(agent10,trolley10),n0),
    inference(equality_resolution,[],[f552]) ).

tcf(c_66,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( sP0(pull(X0,X1),X1,X0,spinning(X1),X2)
      | ~ happens(push(X0,X1),X2) ),
    inference(cnf_transformation,[],[f497]) ).

tcf(c_226,plain,
    sP8(push(agent10,trolley10),n0),
    inference(cnf_transformation,[],[f553]) ).

tcf(c_4961,plain,
    ! [X0: $i,X1: $i] :
      ( sP25(X0,X1)
      | ( X1 != n0 )
      | ( push(agent10,trolley10) != X0 ) ),
    inference(resolution_lifted,[status(thm)],[c_755,c_226]) ).

tcf(c_4962,plain,
    sP25(push(agent10,trolley10),n0),
    inference(unflattening,[status(thm)],[c_4961]) ).

tcf(c_10239,plain,
    ! [X0: $i,X1: $i] :
      ( happens(X0,X1)
      | ( X1 != n0 )
      | ( push(agent10,trolley10) != X0 ) ),
    inference(resolution_lifted,[status(thm)],[c_521,c_4962]) ).

tcf(c_10240,plain,
    happens(push(agent10,trolley10),n0),
    inference(unflattening,[status(thm)],[c_10239]) ).

tcf(c_19887,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( initiates(pull(X0,X1),spinning(X1),X2)
      | ~ happens(push(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_66,c_72]) ).

tcf(c_27923,plain,
    ! [X0: $i,X1: $i] :
      ( initiates(pull(X0,trolley1),iPr_def_10,X1)
      | ~ happens(push(X0,trolley1),X1) ),
    inference(superposition,[status(thm)],[c_15249,c_19887]) ).

tcf(c_27924,plain,
    ! [X0: $i,X1: $i] :
      ( initiates(pull(X0,trolley2),iPr_def_11,X1)
      | ~ happens(push(X0,trolley2),X1) ),
    inference(superposition,[status(thm)],[c_15250,c_19887]) ).

tcf(c_27925,plain,
    ! [X0: $i,X1: $i] :
      ( initiates(pull(X0,trolley3),iPr_def_12,X1)
      | ~ happens(push(X0,trolley3),X1) ),
    inference(superposition,[status(thm)],[c_15251,c_19887]) ).

tcf(c_27926,plain,
    ! [X0: $i,X1: $i] :
      ( initiates(pull(X0,trolley4),iPr_def_13,X1)
      | ~ happens(push(X0,trolley4),X1) ),
    inference(superposition,[status(thm)],[c_15252,c_19887]) ).

tcf(c_27927,plain,
    ! [X0: $i,X1: $i] :
      ( initiates(pull(X0,trolley5),iPr_def_14,X1)
      | ~ happens(push(X0,trolley5),X1) ),
    inference(superposition,[status(thm)],[c_15253,c_19887]) ).

tcf(c_27928,plain,
    ! [X0: $i,X1: $i] :
      ( initiates(pull(X0,trolley6),iPr_def_15,X1)
      | ~ happens(push(X0,trolley6),X1) ),
    inference(superposition,[status(thm)],[c_15254,c_19887]) ).

tcf(c_27929,plain,
    ! [X0: $i,X1: $i] :
      ( initiates(pull(X0,trolley7),iPr_def_16,X1)
      | ~ happens(push(X0,trolley7),X1) ),
    inference(superposition,[status(thm)],[c_15255,c_19887]) ).

tcf(c_27930,plain,
    ! [X0: $i,X1: $i] :
      ( initiates(pull(X0,trolley8),iPr_def_17,X1)
      | ~ happens(push(X0,trolley8),X1) ),
    inference(superposition,[status(thm)],[c_15256,c_19887]) ).

tcf(c_27931,plain,
    ! [X0: $i,X1: $i] :
      ( initiates(pull(X0,trolley9),iPr_def_18,X1)
      | ~ happens(push(X0,trolley9),X1) ),
    inference(superposition,[status(thm)],[c_15257,c_19887]) ).

tcf(c_27932,plain,
    ! [X0: $i,X1: $i] :
      ( initiates(pull(X0,trolley10),iPr_def_19,X1)
      | ~ happens(push(X0,trolley10),X1) ),
    inference(superposition,[status(thm)],[c_15258,c_19887]) ).

tcf(c_27972,plain,
    ! [X0: $i,X1: $i] :
      ( holdsAt(iPr_def_10,plus(X1,n1))
      | ~ happens(push(X0,trolley1),X1)
      | ~ happens(pull(X0,trolley1),X1) ),
    inference(superposition,[status(thm)],[c_27923,c_57]) ).

tcf(c_27988,plain,
    ! [X0: $i,X1: $i] :
      ( holdsAt(iPr_def_11,plus(X1,n1))
      | ~ happens(push(X0,trolley2),X1)
      | ~ happens(pull(X0,trolley2),X1) ),
    inference(superposition,[status(thm)],[c_27924,c_57]) ).

tcf(c_27997,plain,
    ! [X0: $i,X1: $i] :
      ( holdsAt(iPr_def_12,plus(X1,n1))
      | ~ happens(push(X0,trolley3),X1)
      | ~ happens(pull(X0,trolley3),X1) ),
    inference(superposition,[status(thm)],[c_27925,c_57]) ).

tcf(c_28006,plain,
    ! [X0: $i,X1: $i] :
      ( holdsAt(iPr_def_13,plus(X1,n1))
      | ~ happens(push(X0,trolley4),X1)
      | ~ happens(pull(X0,trolley4),X1) ),
    inference(superposition,[status(thm)],[c_27926,c_57]) ).

tcf(c_28015,plain,
    ! [X0: $i,X1: $i] :
      ( holdsAt(iPr_def_14,plus(X1,n1))
      | ~ happens(push(X0,trolley5),X1)
      | ~ happens(pull(X0,trolley5),X1) ),
    inference(superposition,[status(thm)],[c_27927,c_57]) ).

tcf(c_28024,plain,
    ! [X0: $i,X1: $i] :
      ( holdsAt(iPr_def_15,plus(X1,n1))
      | ~ happens(push(X0,trolley6),X1)
      | ~ happens(pull(X0,trolley6),X1) ),
    inference(superposition,[status(thm)],[c_27928,c_57]) ).

tcf(c_28033,plain,
    ! [X0: $i,X1: $i] :
      ( holdsAt(iPr_def_16,plus(X1,n1))
      | ~ happens(push(X0,trolley7),X1)
      | ~ happens(pull(X0,trolley7),X1) ),
    inference(superposition,[status(thm)],[c_27929,c_57]) ).

tcf(c_28042,plain,
    ! [X0: $i,X1: $i] :
      ( holdsAt(iPr_def_17,plus(X1,n1))
      | ~ happens(push(X0,trolley8),X1)
      | ~ happens(pull(X0,trolley8),X1) ),
    inference(superposition,[status(thm)],[c_27930,c_57]) ).

tcf(c_28051,plain,
    ! [X0: $i,X1: $i] :
      ( holdsAt(iPr_def_18,plus(X1,n1))
      | ~ happens(push(X0,trolley9),X1)
      | ~ happens(pull(X0,trolley9),X1) ),
    inference(superposition,[status(thm)],[c_27931,c_57]) ).

tcf(c_28060,plain,
    ! [X0: $i,X1: $i] :
      ( holdsAt(iPr_def_19,plus(X1,n1))
      | ~ happens(push(X0,trolley10),X1)
      | ~ happens(pull(X0,trolley10),X1) ),
    inference(superposition,[status(thm)],[c_27932,c_57]) ).

tcf(c_31797,plain,
    ( holdsAt(iPr_def_10,plus(n0,n1))
    | ~ happens(push(agent1,trolley1),n0) ),
    inference(superposition,[status(thm)],[c_10069,c_27972]) ).

tcf(c_31798,plain,
    ( holdsAt(iPr_def_10,n1)
    | ~ happens(push(agent1,trolley1),n0) ),
    inference(light_normalisation,[status(thm)],[c_31797,c_115]) ).

tcf(c_31799,plain,
    holdsAt(iPr_def_10,n1),
    inference(forward_subsumption_resolution,[status(thm)],[c_31798,c_10078]) ).

tcf(c_31802,plain,
    ( ~ holdsAt(iPr_def_19,n1)
    | ~ holdsAt(iPr_def_18,n1)
    | ~ holdsAt(iPr_def_17,n1)
    | ~ holdsAt(iPr_def_16,n1)
    | ~ holdsAt(iPr_def_15,n1)
    | ~ holdsAt(iPr_def_14,n1)
    | ~ holdsAt(iPr_def_13,n1)
    | ~ holdsAt(iPr_def_12,n1)
    | ~ holdsAt(iPr_def_11,n1) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_15259,c_31799]) ).

tcf(c_31824,plain,
    ( holdsAt(iPr_def_11,plus(n0,n1))
    | ~ happens(push(agent2,trolley2),n0) ),
    inference(superposition,[status(thm)],[c_10087,c_27988]) ).

tcf(c_31825,plain,
    ( holdsAt(iPr_def_11,n1)
    | ~ happens(push(agent2,trolley2),n0) ),
    inference(light_normalisation,[status(thm)],[c_31824,c_115]) ).

tcf(c_31826,plain,
    holdsAt(iPr_def_11,n1),
    inference(forward_subsumption_resolution,[status(thm)],[c_31825,c_10096]) ).

tcf(c_31841,plain,
    ( holdsAt(iPr_def_12,plus(n0,n1))
    | ~ happens(push(agent3,trolley3),n0) ),
    inference(superposition,[status(thm)],[c_10105,c_27997]) ).

tcf(c_31842,plain,
    ( holdsAt(iPr_def_12,n1)
    | ~ happens(push(agent3,trolley3),n0) ),
    inference(light_normalisation,[status(thm)],[c_31841,c_115]) ).

tcf(c_31843,plain,
    holdsAt(iPr_def_12,n1),
    inference(forward_subsumption_resolution,[status(thm)],[c_31842,c_10114]) ).

tcf(c_31854,plain,
    ( holdsAt(iPr_def_13,plus(n0,n1))
    | ~ happens(push(agent4,trolley4),n0) ),
    inference(superposition,[status(thm)],[c_10123,c_28006]) ).

tcf(c_31855,plain,
    ( holdsAt(iPr_def_13,n1)
    | ~ happens(push(agent4,trolley4),n0) ),
    inference(light_normalisation,[status(thm)],[c_31854,c_115]) ).

tcf(c_31856,plain,
    holdsAt(iPr_def_13,n1),
    inference(forward_subsumption_resolution,[status(thm)],[c_31855,c_10132]) ).

tcf(c_31881,plain,
    ( ~ holdsAt(iPr_def_19,n1)
    | ~ holdsAt(iPr_def_18,n1)
    | ~ holdsAt(iPr_def_17,n1)
    | ~ holdsAt(iPr_def_16,n1)
    | ~ holdsAt(iPr_def_15,n1)
    | ~ holdsAt(iPr_def_14,n1) ),
    inference(global_subsumption_just,[status(thm)],[c_31802,c_31802,c_31826,c_31843,c_31856]) ).

tcf(c_32054,plain,
    ( holdsAt(iPr_def_14,plus(n0,n1))
    | ~ happens(push(agent5,trolley5),n0) ),
    inference(superposition,[status(thm)],[c_10141,c_28015]) ).

tcf(c_32055,plain,
    ( holdsAt(iPr_def_14,n1)
    | ~ happens(push(agent5,trolley5),n0) ),
    inference(light_normalisation,[status(thm)],[c_32054,c_115]) ).

tcf(c_32056,plain,
    holdsAt(iPr_def_14,n1),
    inference(forward_subsumption_resolution,[status(thm)],[c_32055,c_10150]) ).

tcf(c_32057,plain,
    ( ~ holdsAt(iPr_def_19,n1)
    | ~ holdsAt(iPr_def_18,n1)
    | ~ holdsAt(iPr_def_17,n1)
    | ~ holdsAt(iPr_def_16,n1)
    | ~ holdsAt(iPr_def_15,n1) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_31881,c_32056]) ).

tcf(c_32073,plain,
    ( holdsAt(iPr_def_15,plus(n0,n1))
    | ~ happens(push(agent6,trolley6),n0) ),
    inference(superposition,[status(thm)],[c_10159,c_28024]) ).

tcf(c_32074,plain,
    ( holdsAt(iPr_def_15,n1)
    | ~ happens(push(agent6,trolley6),n0) ),
    inference(light_normalisation,[status(thm)],[c_32073,c_115]) ).

tcf(c_32075,plain,
    holdsAt(iPr_def_15,n1),
    inference(forward_subsumption_resolution,[status(thm)],[c_32074,c_10168]) ).

tcf(c_32086,plain,
    ( holdsAt(iPr_def_16,plus(n0,n1))
    | ~ happens(push(agent7,trolley7),n0) ),
    inference(superposition,[status(thm)],[c_10177,c_28033]) ).

tcf(c_32087,plain,
    ( holdsAt(iPr_def_16,n1)
    | ~ happens(push(agent7,trolley7),n0) ),
    inference(light_normalisation,[status(thm)],[c_32086,c_115]) ).

tcf(c_32088,plain,
    holdsAt(iPr_def_16,n1),
    inference(forward_subsumption_resolution,[status(thm)],[c_32087,c_10186]) ).

tcf(c_32099,plain,
    ( holdsAt(iPr_def_17,plus(n0,n1))
    | ~ happens(push(agent8,trolley8),n0) ),
    inference(superposition,[status(thm)],[c_10195,c_28042]) ).

tcf(c_32100,plain,
    ( holdsAt(iPr_def_17,n1)
    | ~ happens(push(agent8,trolley8),n0) ),
    inference(light_normalisation,[status(thm)],[c_32099,c_115]) ).

tcf(c_32101,plain,
    holdsAt(iPr_def_17,n1),
    inference(forward_subsumption_resolution,[status(thm)],[c_32100,c_10204]) ).

tcf(c_32118,plain,
    ( ~ holdsAt(iPr_def_19,n1)
    | ~ holdsAt(iPr_def_18,n1) ),
    inference(global_subsumption_just,[status(thm)],[c_32057,c_32057,c_32075,c_32088,c_32101]) ).

tcf(c_32193,plain,
    ( holdsAt(iPr_def_18,plus(n0,n1))
    | ~ happens(push(agent9,trolley9),n0) ),
    inference(superposition,[status(thm)],[c_10213,c_28051]) ).

tcf(c_32194,plain,
    ( holdsAt(iPr_def_18,n1)
    | ~ happens(push(agent9,trolley9),n0) ),
    inference(light_normalisation,[status(thm)],[c_32193,c_115]) ).

tcf(c_32195,plain,
    holdsAt(iPr_def_18,n1),
    inference(forward_subsumption_resolution,[status(thm)],[c_32194,c_10222]) ).

tcf(c_32207,plain,
    ( holdsAt(iPr_def_19,plus(n0,n1))
    | ~ happens(push(agent10,trolley10),n0) ),
    inference(superposition,[status(thm)],[c_10231,c_28060]) ).

tcf(c_32208,plain,
    ( holdsAt(iPr_def_19,n1)
    | ~ happens(push(agent10,trolley10),n0) ),
    inference(light_normalisation,[status(thm)],[c_32207,c_115]) ).

tcf(c_32209,plain,
    holdsAt(iPr_def_19,n1),
    inference(forward_subsumption_resolution,[status(thm)],[c_32208,c_10240]) ).

tcf(c_32210,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_32209,c_32195,c_32118]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR024+1.010 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.38  % Computer : n005.cluster.edu
% 0.10/0.38  % Model    : x86_64 x86_64
% 0.10/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38  % Memory   : 8046.5625MB
% 0.10/0.38  % OS       : Linux 6.8.0-71-generic
% 0.10/0.38  % CPULimit : 300
% 0.10/0.38  % WCLimit  : 300
% 0.10/0.38  % DateTime : Fri Sep 25 08:08:33 UTC 2026
% 0.10/0.38  % CPUTime  : 
% 0.10/0.38  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.42  Running first-order theorem proving
% 0.10/0.42  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.43  
% 0.10/0.43  % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43  
% 0.10/0.43  % Detected problem language: tptp
% 0.10/0.44  % Proving...
% 2.81/1.75  % SZS status Started for theBenchmark.p
% 2.81/1.75  % SZS status Theorem for theBenchmark.p
% 2.81/1.75  
% 2.81/1.75  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.81/1.75  
% 2.81/1.75  % ------  iProver source info
% 2.81/1.75  
% 2.81/1.75  % git: date: 2026-07-19 20:42:38 +0200
% 2.81/1.75  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.81/1.75  % git: non_committed_changes: false
% 2.81/1.75  
% 2.81/1.75  % ------ Parsing...
% 2.81/1.75  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 2.81/1.75  
% 2.81/1.75  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 3 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e  sup_sim: 0  sf_s  rm: 20 0s  sf_e  pe_s  pe_e % 
% 2.81/1.75  
% 2.81/1.75  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 2.81/1.75  
% 2.81/1.75  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.81/1.75  % ------ Proving...
% 2.81/1.75  % ------ Problem Properties 
% 2.81/1.75  
% 2.81/1.75  % 
% 2.81/1.75  % clauses                               244
% 2.81/1.75  % conjectures                           1
% 2.81/1.75  % EPR                                   124
% 2.81/1.75  % Horn                                  223
% 2.81/1.75  % unary                                 168
% 2.81/1.75  % binary                                58
% 2.81/1.75  % lits                                  375
% 2.81/1.75  % lits eq                               162
% 2.81/1.75  % fd_pure                               0
% 2.81/1.75  % fd_pseudo                             0
% 2.81/1.75  % fd_cond                               2
% 2.81/1.75  % fd_pseudo_cond                        18
% 2.81/1.75  % AC symbols                            0
% 2.81/1.75  
% 2.81/1.75  % ------ Schedule dynamic 5 is on 
% 2.81/1.75  
% 2.81/1.75  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.81/1.75  
% 2.81/1.75  
% 2.81/1.75  % ------ 
% 2.81/1.75  % Current options:
% 2.81/1.75  % ------ 
% 2.81/1.75  
% 2.81/1.75  
% 2.81/1.75  % 
% 2.81/1.75  
% 2.81/1.75  % ------ Proving...
% 2.81/1.75  % 
% 2.81/1.75  
% 2.81/1.75  % SZS status Theorem for theBenchmark.p
% 2.81/1.75  
% 2.81/1.75  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.81/1.75  
% 2.81/1.75  
%------------------------------------------------------------------------------