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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : CSR024+1.009 : TPTP v9.2.1. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May  5 04:13:53 PM UTC 2026

% Result   : Theorem 1.44s 1.76s
% Output   : CNFRefutation 1.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    9
% Syntax   : Number of formulae    :  103 (  50 unt;   0 def)
%            Number of atoms       : 1202 ( 774 equ)
%            Maximal formula atoms :  241 (  11 avg)
%            Number of connectives : 1386 ( 287   ~; 847   |; 241   &)
%                                         (  10 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   46 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :   32 (  32 usr;  20 con; 0-3 aty)
%            Number of variables   :  120 (   0 sgn  52   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(initiates_all_defn,axiom,
    ! [X4,X2,X5] :
      ( initiates(X4,X2,X5)
    <=> ? [X9,X10] :
          ( ( X4 = push(X9,X10)
            & X2 = forwards(X10)
            & ~ happens(pull(X9,X10),X5) )
          | ( X4 = pull(X9,X10)
            & X2 = backwards(X10)
            & ~ happens(push(X9,X10),X5) )
          | ( X4 = pull(X9,X10)
            & X2 = spinning(X10)
            & happens(push(X9,X10),X5) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+3.ax',initiates_all_defn) ).

fof(happens_holds,axiom,
    ! [X4,X5,X2] :
      ( ( happens(X4,X5)
        & initiates(X4,X2,X5) )
     => holdsAt(X2,plus(X5,n1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax',happens_holds) ).

fof(happens_all_defn,axiom,
    ! [X4,X5] :
      ( happens(X4,X5)
    <=> ( ( X4 = pull(agent1,trolley1)
          & X5 = n0 )
        | ( X4 = push(agent1,trolley1)
          & X5 = n0 )
        | ( X4 = pull(agent2,trolley2)
          & X5 = n0 )
        | ( X4 = push(agent2,trolley2)
          & X5 = n0 )
        | ( X4 = pull(agent3,trolley3)
          & X5 = n0 )
        | ( X4 = push(agent3,trolley3)
          & X5 = n0 )
        | ( X4 = pull(agent4,trolley4)
          & X5 = n0 )
        | ( X4 = push(agent4,trolley4)
          & X5 = n0 )
        | ( X4 = pull(agent5,trolley5)
          & X5 = n0 )
        | ( X4 = push(agent5,trolley5)
          & X5 = n0 )
        | ( X4 = pull(agent6,trolley6)
          & X5 = n0 )
        | ( X4 = push(agent6,trolley6)
          & X5 = n0 )
        | ( X4 = pull(agent7,trolley7)
          & X5 = n0 )
        | ( X4 = push(agent7,trolley7)
          & X5 = n0 )
        | ( X4 = pull(agent8,trolley8)
          & X5 = n0 )
        | ( X4 = push(agent8,trolley8)
          & X5 = n0 )
        | ( X4 = pull(agent9,trolley9)
          & X5 = n0 )
        | ( X4 = push(agent9,trolley9)
          & X5 = n0 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',happens_all_defn) ).

fof(spinning_3,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/sandbox2/benchmark/theBenchmark.p',spinning_3) ).

fof(plus0_1,axiom,
    plus(n0,n1) = n1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus0_1) ).

fof(c_0_5,plain,
    ! [X2,X4,X5] :
      ( epred1_3(X5,X4,X2)
    <=> ? [X9,X10] :
          ( ( X4 = push(X9,X10)
            & X2 = forwards(X10)
            & ~ happens(pull(X9,X10),X5) )
          | ( X4 = pull(X9,X10)
            & X2 = backwards(X10)
            & ~ happens(push(X9,X10),X5) )
          | ( X4 = pull(X9,X10)
            & X2 = spinning(X10)
            & happens(push(X9,X10),X5) ) ) ),
    introduced(definition) ).

fof(c_0_6,plain,
    ! [X4,X2,X5] :
      ( initiates(X4,X2,X5)
    <=> epred1_3(X5,X4,X2) ),
    inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[initiates_all_defn]),c_0_5]) ).

fof(c_0_7,plain,
    ! [X4,X5] :
      ( epred6_2(X5,X4)
    <=> ( ( X4 = pull(agent1,trolley1)
          & X5 = n0 )
        | ( X4 = push(agent1,trolley1)
          & X5 = n0 )
        | ( X4 = pull(agent2,trolley2)
          & X5 = n0 )
        | ( X4 = push(agent2,trolley2)
          & X5 = n0 )
        | ( X4 = pull(agent3,trolley3)
          & X5 = n0 )
        | ( X4 = push(agent3,trolley3)
          & X5 = n0 )
        | ( X4 = pull(agent4,trolley4)
          & X5 = n0 )
        | ( X4 = push(agent4,trolley4)
          & X5 = n0 )
        | ( X4 = pull(agent5,trolley5)
          & X5 = n0 )
        | ( X4 = push(agent5,trolley5)
          & X5 = n0 )
        | ( X4 = pull(agent6,trolley6)
          & X5 = n0 )
        | ( X4 = push(agent6,trolley6)
          & X5 = n0 )
        | ( X4 = pull(agent7,trolley7)
          & X5 = n0 )
        | ( X4 = push(agent7,trolley7)
          & X5 = n0 )
        | ( X4 = pull(agent8,trolley8)
          & X5 = n0 ) ) ),
    introduced(definition) ).

fof(c_0_8,plain,
    ! [X4,X5] :
      ( epred5_2(X5,X4)
    <=> ( ( X4 = pull(agent1,trolley1)
          & X5 = n0 )
        | ( X4 = push(agent1,trolley1)
          & X5 = n0 )
        | ( X4 = pull(agent2,trolley2)
          & X5 = n0 )
        | ( X4 = push(agent2,trolley2)
          & X5 = n0 )
        | ( X4 = pull(agent3,trolley3)
          & X5 = n0 )
        | ( X4 = push(agent3,trolley3)
          & X5 = n0 )
        | ( X4 = pull(agent4,trolley4)
          & X5 = n0 )
        | ( X4 = push(agent4,trolley4)
          & X5 = n0 )
        | ( X4 = pull(agent5,trolley5)
          & X5 = n0 )
        | ( X4 = push(agent5,trolley5)
          & X5 = n0 ) ) ),
    introduced(definition) ).

fof(c_0_9,plain,
    ! [X4,X5] :
      ( epred4_2(X5,X4)
    <=> ( ( X4 = pull(agent1,trolley1)
          & X5 = n0 )
        | ( X4 = push(agent1,trolley1)
          & X5 = n0 )
        | ( X4 = pull(agent2,trolley2)
          & X5 = n0 )
        | ( X4 = push(agent2,trolley2)
          & X5 = n0 )
        | ( X4 = pull(agent3,trolley3)
          & X5 = n0 ) ) ),
    introduced(definition) ).

fof(c_0_10,plain,
    ! [X175,X176,X177] :
      ( ~ happens(X175,X176)
      | ~ initiates(X175,X177,X176)
      | holdsAt(X177,plus(X176,n1)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[happens_holds])]) ).

fof(c_0_11,plain,
    ! [X187,X188,X189] :
      ( ( ~ initiates(X187,X188,X189)
        | epred1_3(X189,X187,X188) )
      & ( ~ epred1_3(X189,X187,X188)
        | initiates(X187,X188,X189) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])]) ).

fof(c_0_12,plain,
    ! [X251,X252,X253,X260,X261,X262,X263,X264,X265,X266,X267,X268] :
      ( ( X252 = pull(esk13_3(X251,X252,X253),esk14_3(X251,X252,X253))
        | X252 = pull(esk11_3(X251,X252,X253),esk12_3(X251,X252,X253))
        | X252 = push(esk9_3(X251,X252,X253),esk10_3(X251,X252,X253))
        | ~ epred1_3(X253,X252,X251) )
      & ( X251 = spinning(esk14_3(X251,X252,X253))
        | X252 = pull(esk11_3(X251,X252,X253),esk12_3(X251,X252,X253))
        | X252 = push(esk9_3(X251,X252,X253),esk10_3(X251,X252,X253))
        | ~ epred1_3(X253,X252,X251) )
      & ( happens(push(esk13_3(X251,X252,X253),esk14_3(X251,X252,X253)),X253)
        | X252 = pull(esk11_3(X251,X252,X253),esk12_3(X251,X252,X253))
        | X252 = push(esk9_3(X251,X252,X253),esk10_3(X251,X252,X253))
        | ~ epred1_3(X253,X252,X251) )
      & ( X252 = pull(esk13_3(X251,X252,X253),esk14_3(X251,X252,X253))
        | X251 = backwards(esk12_3(X251,X252,X253))
        | X252 = push(esk9_3(X251,X252,X253),esk10_3(X251,X252,X253))
        | ~ epred1_3(X253,X252,X251) )
      & ( X251 = spinning(esk14_3(X251,X252,X253))
        | X251 = backwards(esk12_3(X251,X252,X253))
        | X252 = push(esk9_3(X251,X252,X253),esk10_3(X251,X252,X253))
        | ~ epred1_3(X253,X252,X251) )
      & ( happens(push(esk13_3(X251,X252,X253),esk14_3(X251,X252,X253)),X253)
        | X251 = backwards(esk12_3(X251,X252,X253))
        | X252 = push(esk9_3(X251,X252,X253),esk10_3(X251,X252,X253))
        | ~ epred1_3(X253,X252,X251) )
      & ( X252 = pull(esk13_3(X251,X252,X253),esk14_3(X251,X252,X253))
        | ~ happens(push(esk11_3(X251,X252,X253),esk12_3(X251,X252,X253)),X253)
        | X252 = push(esk9_3(X251,X252,X253),esk10_3(X251,X252,X253))
        | ~ epred1_3(X253,X252,X251) )
      & ( X251 = spinning(esk14_3(X251,X252,X253))
        | ~ happens(push(esk11_3(X251,X252,X253),esk12_3(X251,X252,X253)),X253)
        | X252 = push(esk9_3(X251,X252,X253),esk10_3(X251,X252,X253))
        | ~ epred1_3(X253,X252,X251) )
      & ( happens(push(esk13_3(X251,X252,X253),esk14_3(X251,X252,X253)),X253)
        | ~ happens(push(esk11_3(X251,X252,X253),esk12_3(X251,X252,X253)),X253)
        | X252 = push(esk9_3(X251,X252,X253),esk10_3(X251,X252,X253))
        | ~ epred1_3(X253,X252,X251) )
      & ( X252 = pull(esk13_3(X251,X252,X253),esk14_3(X251,X252,X253))
        | X252 = pull(esk11_3(X251,X252,X253),esk12_3(X251,X252,X253))
        | X251 = forwards(esk10_3(X251,X252,X253))
        | ~ epred1_3(X253,X252,X251) )
      & ( X251 = spinning(esk14_3(X251,X252,X253))
        | X252 = pull(esk11_3(X251,X252,X253),esk12_3(X251,X252,X253))
        | X251 = forwards(esk10_3(X251,X252,X253))
        | ~ epred1_3(X253,X252,X251) )
      & ( happens(push(esk13_3(X251,X252,X253),esk14_3(X251,X252,X253)),X253)
        | X252 = pull(esk11_3(X251,X252,X253),esk12_3(X251,X252,X253))
        | X251 = forwards(esk10_3(X251,X252,X253))
        | ~ epred1_3(X253,X252,X251) )
      & ( X252 = pull(esk13_3(X251,X252,X253),esk14_3(X251,X252,X253))
        | X251 = backwards(esk12_3(X251,X252,X253))
        | X251 = forwards(esk10_3(X251,X252,X253))
        | ~ epred1_3(X253,X252,X251) )
      & ( X251 = spinning(esk14_3(X251,X252,X253))
        | X251 = backwards(esk12_3(X251,X252,X253))
        | X251 = forwards(esk10_3(X251,X252,X253))
        | ~ epred1_3(X253,X252,X251) )
      & ( happens(push(esk13_3(X251,X252,X253),esk14_3(X251,X252,X253)),X253)
        | X251 = backwards(esk12_3(X251,X252,X253))
        | X251 = forwards(esk10_3(X251,X252,X253))
        | ~ epred1_3(X253,X252,X251) )
      & ( X252 = pull(esk13_3(X251,X252,X253),esk14_3(X251,X252,X253))
        | ~ happens(push(esk11_3(X251,X252,X253),esk12_3(X251,X252,X253)),X253)
        | X251 = forwards(esk10_3(X251,X252,X253))
        | ~ epred1_3(X253,X252,X251) )
      & ( X251 = spinning(esk14_3(X251,X252,X253))
        | ~ happens(push(esk11_3(X251,X252,X253),esk12_3(X251,X252,X253)),X253)
        | X251 = forwards(esk10_3(X251,X252,X253))
        | ~ epred1_3(X253,X252,X251) )
      & ( happens(push(esk13_3(X251,X252,X253),esk14_3(X251,X252,X253)),X253)
        | ~ happens(push(esk11_3(X251,X252,X253),esk12_3(X251,X252,X253)),X253)
        | X251 = forwards(esk10_3(X251,X252,X253))
        | ~ epred1_3(X253,X252,X251) )
      & ( X252 = pull(esk13_3(X251,X252,X253),esk14_3(X251,X252,X253))
        | X252 = pull(esk11_3(X251,X252,X253),esk12_3(X251,X252,X253))
        | ~ happens(pull(esk9_3(X251,X252,X253),esk10_3(X251,X252,X253)),X253)
        | ~ epred1_3(X253,X252,X251) )
      & ( X251 = spinning(esk14_3(X251,X252,X253))
        | X252 = pull(esk11_3(X251,X252,X253),esk12_3(X251,X252,X253))
        | ~ happens(pull(esk9_3(X251,X252,X253),esk10_3(X251,X252,X253)),X253)
        | ~ epred1_3(X253,X252,X251) )
      & ( happens(push(esk13_3(X251,X252,X253),esk14_3(X251,X252,X253)),X253)
        | X252 = pull(esk11_3(X251,X252,X253),esk12_3(X251,X252,X253))
        | ~ happens(pull(esk9_3(X251,X252,X253),esk10_3(X251,X252,X253)),X253)
        | ~ epred1_3(X253,X252,X251) )
      & ( X252 = pull(esk13_3(X251,X252,X253),esk14_3(X251,X252,X253))
        | X251 = backwards(esk12_3(X251,X252,X253))
        | ~ happens(pull(esk9_3(X251,X252,X253),esk10_3(X251,X252,X253)),X253)
        | ~ epred1_3(X253,X252,X251) )
      & ( X251 = spinning(esk14_3(X251,X252,X253))
        | X251 = backwards(esk12_3(X251,X252,X253))
        | ~ happens(pull(esk9_3(X251,X252,X253),esk10_3(X251,X252,X253)),X253)
        | ~ epred1_3(X253,X252,X251) )
      & ( happens(push(esk13_3(X251,X252,X253),esk14_3(X251,X252,X253)),X253)
        | X251 = backwards(esk12_3(X251,X252,X253))
        | ~ happens(pull(esk9_3(X251,X252,X253),esk10_3(X251,X252,X253)),X253)
        | ~ epred1_3(X253,X252,X251) )
      & ( X252 = pull(esk13_3(X251,X252,X253),esk14_3(X251,X252,X253))
        | ~ happens(push(esk11_3(X251,X252,X253),esk12_3(X251,X252,X253)),X253)
        | ~ happens(pull(esk9_3(X251,X252,X253),esk10_3(X251,X252,X253)),X253)
        | ~ epred1_3(X253,X252,X251) )
      & ( X251 = spinning(esk14_3(X251,X252,X253))
        | ~ happens(push(esk11_3(X251,X252,X253),esk12_3(X251,X252,X253)),X253)
        | ~ happens(pull(esk9_3(X251,X252,X253),esk10_3(X251,X252,X253)),X253)
        | ~ epred1_3(X253,X252,X251) )
      & ( happens(push(esk13_3(X251,X252,X253),esk14_3(X251,X252,X253)),X253)
        | ~ happens(push(esk11_3(X251,X252,X253),esk12_3(X251,X252,X253)),X253)
        | ~ happens(pull(esk9_3(X251,X252,X253),esk10_3(X251,X252,X253)),X253)
        | ~ epred1_3(X253,X252,X251) )
      & ( X261 != push(X263,X264)
        | X260 != forwards(X264)
        | happens(pull(X263,X264),X262)
        | epred1_3(X262,X261,X260) )
      & ( X261 != pull(X265,X266)
        | X260 != backwards(X266)
        | happens(push(X265,X266),X262)
        | epred1_3(X262,X261,X260) )
      & ( X261 != pull(X267,X268)
        | X260 != spinning(X268)
        | ~ happens(push(X267,X268),X262)
        | epred1_3(X262,X261,X260) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])])]) ).

fof(c_0_13,axiom,
    ! [X4,X5] :
      ( happens(X4,X5)
    <=> ( epred6_2(X5,X4)
        | ( X4 = push(agent8,trolley8)
          & X5 = n0 )
        | ( X4 = pull(agent9,trolley9)
          & X5 = n0 )
        | ( X4 = push(agent9,trolley9)
          & X5 = n0 ) ) ),
    inference(apply_def,[status(thm)],[happens_all_defn,c_0_7]) ).

fof(c_0_14,plain,
    ! [X4,X5] :
      ( epred6_2(X5,X4)
    <=> ( epred5_2(X5,X4)
        | ( X4 = pull(agent6,trolley6)
          & X5 = n0 )
        | ( X4 = push(agent6,trolley6)
          & X5 = n0 )
        | ( X4 = pull(agent7,trolley7)
          & X5 = n0 )
        | ( X4 = push(agent7,trolley7)
          & X5 = n0 )
        | ( X4 = pull(agent8,trolley8)
          & X5 = n0 ) ) ),
    inference(apply_def,[status(thm)],[c_0_7,c_0_8]) ).

fof(c_0_15,plain,
    ! [X4,X5] :
      ( epred5_2(X5,X4)
    <=> ( epred4_2(X5,X4)
        | ( X4 = push(agent3,trolley3)
          & X5 = n0 )
        | ( X4 = pull(agent4,trolley4)
          & X5 = n0 )
        | ( X4 = push(agent4,trolley4)
          & X5 = n0 )
        | ( X4 = pull(agent5,trolley5)
          & X5 = n0 )
        | ( X4 = push(agent5,trolley5)
          & X5 = n0 ) ) ),
    inference(apply_def,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_16,plain,
    ( holdsAt(X3,plus(X2,n1))
    | ~ happens(X1,X2)
    | ~ initiates(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_17,plain,
    ( initiates(X2,X3,X1)
    | ~ epred1_3(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_18,plain,
    ( epred1_3(X5,X1,X4)
    | X1 != pull(X2,X3)
    | X4 != spinning(X3)
    | ~ happens(push(X2,X3),X5) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_19,plain,
    ! [X234,X235] :
      ( ( X234 = push(agent9,trolley9)
        | X234 = pull(agent9,trolley9)
        | X234 = push(agent8,trolley8)
        | epred6_2(X235,X234)
        | ~ happens(X234,X235) )
      & ( X235 = n0
        | X234 = pull(agent9,trolley9)
        | X234 = push(agent8,trolley8)
        | epred6_2(X235,X234)
        | ~ happens(X234,X235) )
      & ( X234 = push(agent9,trolley9)
        | X235 = n0
        | X234 = push(agent8,trolley8)
        | epred6_2(X235,X234)
        | ~ happens(X234,X235) )
      & ( X235 = n0
        | X235 = n0
        | X234 = push(agent8,trolley8)
        | epred6_2(X235,X234)
        | ~ happens(X234,X235) )
      & ( X234 = push(agent9,trolley9)
        | X234 = pull(agent9,trolley9)
        | X235 = n0
        | epred6_2(X235,X234)
        | ~ happens(X234,X235) )
      & ( X235 = n0
        | X234 = pull(agent9,trolley9)
        | X235 = n0
        | epred6_2(X235,X234)
        | ~ happens(X234,X235) )
      & ( X234 = push(agent9,trolley9)
        | X235 = n0
        | X235 = n0
        | epred6_2(X235,X234)
        | ~ happens(X234,X235) )
      & ( X235 = n0
        | X235 = n0
        | X235 = n0
        | epred6_2(X235,X234)
        | ~ happens(X234,X235) )
      & ( ~ epred6_2(X235,X234)
        | happens(X234,X235) )
      & ( X234 != push(agent8,trolley8)
        | X235 != n0
        | happens(X234,X235) )
      & ( X234 != pull(agent9,trolley9)
        | X235 != n0
        | happens(X234,X235) )
      & ( X234 != push(agent9,trolley9)
        | X235 != n0
        | happens(X234,X235) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).

fof(c_0_20,plain,
    ! [X300,X301] :
      ( ( X300 = pull(agent8,trolley8)
        | X300 = push(agent7,trolley7)
        | X300 = pull(agent7,trolley7)
        | X300 = push(agent6,trolley6)
        | X300 = pull(agent6,trolley6)
        | epred5_2(X301,X300)
        | ~ epred6_2(X301,X300) )
      & ( X301 = n0
        | X300 = push(agent7,trolley7)
        | X300 = pull(agent7,trolley7)
        | X300 = push(agent6,trolley6)
        | X300 = pull(agent6,trolley6)
        | epred5_2(X301,X300)
        | ~ epred6_2(X301,X300) )
      & ( X300 = pull(agent8,trolley8)
        | X301 = n0
        | X300 = pull(agent7,trolley7)
        | X300 = push(agent6,trolley6)
        | X300 = pull(agent6,trolley6)
        | epred5_2(X301,X300)
        | ~ epred6_2(X301,X300) )
      & ( X301 = n0
        | X301 = n0
        | X300 = pull(agent7,trolley7)
        | X300 = push(agent6,trolley6)
        | X300 = pull(agent6,trolley6)
        | epred5_2(X301,X300)
        | ~ epred6_2(X301,X300) )
      & ( X300 = pull(agent8,trolley8)
        | X300 = push(agent7,trolley7)
        | X301 = n0
        | X300 = push(agent6,trolley6)
        | X300 = pull(agent6,trolley6)
        | epred5_2(X301,X300)
        | ~ epred6_2(X301,X300) )
      & ( X301 = n0
        | X300 = push(agent7,trolley7)
        | X301 = n0
        | X300 = push(agent6,trolley6)
        | X300 = pull(agent6,trolley6)
        | epred5_2(X301,X300)
        | ~ epred6_2(X301,X300) )
      & ( X300 = pull(agent8,trolley8)
        | X301 = n0
        | X301 = n0
        | X300 = push(agent6,trolley6)
        | X300 = pull(agent6,trolley6)
        | epred5_2(X301,X300)
        | ~ epred6_2(X301,X300) )
      & ( X301 = n0
        | X301 = n0
        | X301 = n0
        | X300 = push(agent6,trolley6)
        | X300 = pull(agent6,trolley6)
        | epred5_2(X301,X300)
        | ~ epred6_2(X301,X300) )
      & ( X300 = pull(agent8,trolley8)
        | X300 = push(agent7,trolley7)
        | X300 = pull(agent7,trolley7)
        | X301 = n0
        | X300 = pull(agent6,trolley6)
        | epred5_2(X301,X300)
        | ~ epred6_2(X301,X300) )
      & ( X301 = n0
        | X300 = push(agent7,trolley7)
        | X300 = pull(agent7,trolley7)
        | X301 = n0
        | X300 = pull(agent6,trolley6)
        | epred5_2(X301,X300)
        | ~ epred6_2(X301,X300) )
      & ( X300 = pull(agent8,trolley8)
        | X301 = n0
        | X300 = pull(agent7,trolley7)
        | X301 = n0
        | X300 = pull(agent6,trolley6)
        | epred5_2(X301,X300)
        | ~ epred6_2(X301,X300) )
      & ( X301 = n0
        | X301 = n0
        | X300 = pull(agent7,trolley7)
        | X301 = n0
        | X300 = pull(agent6,trolley6)
        | epred5_2(X301,X300)
        | ~ epred6_2(X301,X300) )
      & ( X300 = pull(agent8,trolley8)
        | X300 = push(agent7,trolley7)
        | X301 = n0
        | X301 = n0
        | X300 = pull(agent6,trolley6)
        | epred5_2(X301,X300)
        | ~ epred6_2(X301,X300) )
      & ( X301 = n0
        | X300 = push(agent7,trolley7)
        | X301 = n0
        | X301 = n0
        | X300 = pull(agent6,trolley6)
        | epred5_2(X301,X300)
        | ~ epred6_2(X301,X300) )
      & ( X300 = pull(agent8,trolley8)
        | X301 = n0
        | X301 = n0
        | X301 = n0
        | X300 = pull(agent6,trolley6)
        | epred5_2(X301,X300)
        | ~ epred6_2(X301,X300) )
      & ( X301 = n0
        | X301 = n0
        | X301 = n0
        | X301 = n0
        | X300 = pull(agent6,trolley6)
        | epred5_2(X301,X300)
        | ~ epred6_2(X301,X300) )
      & ( X300 = pull(agent8,trolley8)
        | X300 = push(agent7,trolley7)
        | X300 = pull(agent7,trolley7)
        | X300 = push(agent6,trolley6)
        | X301 = n0
        | epred5_2(X301,X300)
        | ~ epred6_2(X301,X300) )
      & ( X301 = n0
        | X300 = push(agent7,trolley7)
        | X300 = pull(agent7,trolley7)
        | X300 = push(agent6,trolley6)
        | X301 = n0
        | epred5_2(X301,X300)
        | ~ epred6_2(X301,X300) )
      & ( X300 = pull(agent8,trolley8)
        | X301 = n0
        | X300 = pull(agent7,trolley7)
        | X300 = push(agent6,trolley6)
        | X301 = n0
        | epred5_2(X301,X300)
        | ~ epred6_2(X301,X300) )
      & ( X301 = n0
        | X301 = n0
        | X300 = pull(agent7,trolley7)
        | X300 = push(agent6,trolley6)
        | X301 = n0
        | epred5_2(X301,X300)
        | ~ epred6_2(X301,X300) )
      & ( X300 = pull(agent8,trolley8)
        | X300 = push(agent7,trolley7)
        | X301 = n0
        | X300 = push(agent6,trolley6)
        | X301 = n0
        | epred5_2(X301,X300)
        | ~ epred6_2(X301,X300) )
      & ( X301 = n0
        | X300 = push(agent7,trolley7)
        | X301 = n0
        | X300 = push(agent6,trolley6)
        | X301 = n0
        | epred5_2(X301,X300)
        | ~ epred6_2(X301,X300) )
      & ( X300 = pull(agent8,trolley8)
        | X301 = n0
        | X301 = n0
        | X300 = push(agent6,trolley6)
        | X301 = n0
        | epred5_2(X301,X300)
        | ~ epred6_2(X301,X300) )
      & ( X301 = n0
        | X301 = n0
        | X301 = n0
        | X300 = push(agent6,trolley6)
        | X301 = n0
        | epred5_2(X301,X300)
        | ~ epred6_2(X301,X300) )
      & ( X300 = pull(agent8,trolley8)
        | X300 = push(agent7,trolley7)
        | X300 = pull(agent7,trolley7)
        | X301 = n0
        | X301 = n0
        | epred5_2(X301,X300)
        | ~ epred6_2(X301,X300) )
      & ( X301 = n0
        | X300 = push(agent7,trolley7)
        | X300 = pull(agent7,trolley7)
        | X301 = n0
        | X301 = n0
        | epred5_2(X301,X300)
        | ~ epred6_2(X301,X300) )
      & ( X300 = pull(agent8,trolley8)
        | X301 = n0
        | X300 = pull(agent7,trolley7)
        | X301 = n0
        | X301 = n0
        | epred5_2(X301,X300)
        | ~ epred6_2(X301,X300) )
      & ( X301 = n0
        | X301 = n0
        | X300 = pull(agent7,trolley7)
        | X301 = n0
        | X301 = n0
        | epred5_2(X301,X300)
        | ~ epred6_2(X301,X300) )
      & ( X300 = pull(agent8,trolley8)
        | X300 = push(agent7,trolley7)
        | X301 = n0
        | X301 = n0
        | X301 = n0
        | epred5_2(X301,X300)
        | ~ epred6_2(X301,X300) )
      & ( X301 = n0
        | X300 = push(agent7,trolley7)
        | X301 = n0
        | X301 = n0
        | X301 = n0
        | epred5_2(X301,X300)
        | ~ epred6_2(X301,X300) )
      & ( X300 = pull(agent8,trolley8)
        | X301 = n0
        | X301 = n0
        | X301 = n0
        | X301 = n0
        | epred5_2(X301,X300)
        | ~ epred6_2(X301,X300) )
      & ( X301 = n0
        | X301 = n0
        | X301 = n0
        | X301 = n0
        | X301 = n0
        | epred5_2(X301,X300)
        | ~ epred6_2(X301,X300) )
      & ( ~ epred5_2(X301,X300)
        | epred6_2(X301,X300) )
      & ( X300 != pull(agent6,trolley6)
        | X301 != n0
        | epred6_2(X301,X300) )
      & ( X300 != push(agent6,trolley6)
        | X301 != n0
        | epred6_2(X301,X300) )
      & ( X300 != pull(agent7,trolley7)
        | X301 != n0
        | epred6_2(X301,X300) )
      & ( X300 != push(agent7,trolley7)
        | X301 != n0
        | epred6_2(X301,X300) )
      & ( X300 != pull(agent8,trolley8)
        | X301 != n0
        | epred6_2(X301,X300) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).

fof(c_0_21,plain,
    ! [X298,X299] :
      ( ( X298 = push(agent5,trolley5)
        | X298 = pull(agent5,trolley5)
        | X298 = push(agent4,trolley4)
        | X298 = pull(agent4,trolley4)
        | X298 = push(agent3,trolley3)
        | epred4_2(X299,X298)
        | ~ epred5_2(X299,X298) )
      & ( X299 = n0
        | X298 = pull(agent5,trolley5)
        | X298 = push(agent4,trolley4)
        | X298 = pull(agent4,trolley4)
        | X298 = push(agent3,trolley3)
        | epred4_2(X299,X298)
        | ~ epred5_2(X299,X298) )
      & ( X298 = push(agent5,trolley5)
        | X299 = n0
        | X298 = push(agent4,trolley4)
        | X298 = pull(agent4,trolley4)
        | X298 = push(agent3,trolley3)
        | epred4_2(X299,X298)
        | ~ epred5_2(X299,X298) )
      & ( X299 = n0
        | X299 = n0
        | X298 = push(agent4,trolley4)
        | X298 = pull(agent4,trolley4)
        | X298 = push(agent3,trolley3)
        | epred4_2(X299,X298)
        | ~ epred5_2(X299,X298) )
      & ( X298 = push(agent5,trolley5)
        | X298 = pull(agent5,trolley5)
        | X299 = n0
        | X298 = pull(agent4,trolley4)
        | X298 = push(agent3,trolley3)
        | epred4_2(X299,X298)
        | ~ epred5_2(X299,X298) )
      & ( X299 = n0
        | X298 = pull(agent5,trolley5)
        | X299 = n0
        | X298 = pull(agent4,trolley4)
        | X298 = push(agent3,trolley3)
        | epred4_2(X299,X298)
        | ~ epred5_2(X299,X298) )
      & ( X298 = push(agent5,trolley5)
        | X299 = n0
        | X299 = n0
        | X298 = pull(agent4,trolley4)
        | X298 = push(agent3,trolley3)
        | epred4_2(X299,X298)
        | ~ epred5_2(X299,X298) )
      & ( X299 = n0
        | X299 = n0
        | X299 = n0
        | X298 = pull(agent4,trolley4)
        | X298 = push(agent3,trolley3)
        | epred4_2(X299,X298)
        | ~ epred5_2(X299,X298) )
      & ( X298 = push(agent5,trolley5)
        | X298 = pull(agent5,trolley5)
        | X298 = push(agent4,trolley4)
        | X299 = n0
        | X298 = push(agent3,trolley3)
        | epred4_2(X299,X298)
        | ~ epred5_2(X299,X298) )
      & ( X299 = n0
        | X298 = pull(agent5,trolley5)
        | X298 = push(agent4,trolley4)
        | X299 = n0
        | X298 = push(agent3,trolley3)
        | epred4_2(X299,X298)
        | ~ epred5_2(X299,X298) )
      & ( X298 = push(agent5,trolley5)
        | X299 = n0
        | X298 = push(agent4,trolley4)
        | X299 = n0
        | X298 = push(agent3,trolley3)
        | epred4_2(X299,X298)
        | ~ epred5_2(X299,X298) )
      & ( X299 = n0
        | X299 = n0
        | X298 = push(agent4,trolley4)
        | X299 = n0
        | X298 = push(agent3,trolley3)
        | epred4_2(X299,X298)
        | ~ epred5_2(X299,X298) )
      & ( X298 = push(agent5,trolley5)
        | X298 = pull(agent5,trolley5)
        | X299 = n0
        | X299 = n0
        | X298 = push(agent3,trolley3)
        | epred4_2(X299,X298)
        | ~ epred5_2(X299,X298) )
      & ( X299 = n0
        | X298 = pull(agent5,trolley5)
        | X299 = n0
        | X299 = n0
        | X298 = push(agent3,trolley3)
        | epred4_2(X299,X298)
        | ~ epred5_2(X299,X298) )
      & ( X298 = push(agent5,trolley5)
        | X299 = n0
        | X299 = n0
        | X299 = n0
        | X298 = push(agent3,trolley3)
        | epred4_2(X299,X298)
        | ~ epred5_2(X299,X298) )
      & ( X299 = n0
        | X299 = n0
        | X299 = n0
        | X299 = n0
        | X298 = push(agent3,trolley3)
        | epred4_2(X299,X298)
        | ~ epred5_2(X299,X298) )
      & ( X298 = push(agent5,trolley5)
        | X298 = pull(agent5,trolley5)
        | X298 = push(agent4,trolley4)
        | X298 = pull(agent4,trolley4)
        | X299 = n0
        | epred4_2(X299,X298)
        | ~ epred5_2(X299,X298) )
      & ( X299 = n0
        | X298 = pull(agent5,trolley5)
        | X298 = push(agent4,trolley4)
        | X298 = pull(agent4,trolley4)
        | X299 = n0
        | epred4_2(X299,X298)
        | ~ epred5_2(X299,X298) )
      & ( X298 = push(agent5,trolley5)
        | X299 = n0
        | X298 = push(agent4,trolley4)
        | X298 = pull(agent4,trolley4)
        | X299 = n0
        | epred4_2(X299,X298)
        | ~ epred5_2(X299,X298) )
      & ( X299 = n0
        | X299 = n0
        | X298 = push(agent4,trolley4)
        | X298 = pull(agent4,trolley4)
        | X299 = n0
        | epred4_2(X299,X298)
        | ~ epred5_2(X299,X298) )
      & ( X298 = push(agent5,trolley5)
        | X298 = pull(agent5,trolley5)
        | X299 = n0
        | X298 = pull(agent4,trolley4)
        | X299 = n0
        | epred4_2(X299,X298)
        | ~ epred5_2(X299,X298) )
      & ( X299 = n0
        | X298 = pull(agent5,trolley5)
        | X299 = n0
        | X298 = pull(agent4,trolley4)
        | X299 = n0
        | epred4_2(X299,X298)
        | ~ epred5_2(X299,X298) )
      & ( X298 = push(agent5,trolley5)
        | X299 = n0
        | X299 = n0
        | X298 = pull(agent4,trolley4)
        | X299 = n0
        | epred4_2(X299,X298)
        | ~ epred5_2(X299,X298) )
      & ( X299 = n0
        | X299 = n0
        | X299 = n0
        | X298 = pull(agent4,trolley4)
        | X299 = n0
        | epred4_2(X299,X298)
        | ~ epred5_2(X299,X298) )
      & ( X298 = push(agent5,trolley5)
        | X298 = pull(agent5,trolley5)
        | X298 = push(agent4,trolley4)
        | X299 = n0
        | X299 = n0
        | epred4_2(X299,X298)
        | ~ epred5_2(X299,X298) )
      & ( X299 = n0
        | X298 = pull(agent5,trolley5)
        | X298 = push(agent4,trolley4)
        | X299 = n0
        | X299 = n0
        | epred4_2(X299,X298)
        | ~ epred5_2(X299,X298) )
      & ( X298 = push(agent5,trolley5)
        | X299 = n0
        | X298 = push(agent4,trolley4)
        | X299 = n0
        | X299 = n0
        | epred4_2(X299,X298)
        | ~ epred5_2(X299,X298) )
      & ( X299 = n0
        | X299 = n0
        | X298 = push(agent4,trolley4)
        | X299 = n0
        | X299 = n0
        | epred4_2(X299,X298)
        | ~ epred5_2(X299,X298) )
      & ( X298 = push(agent5,trolley5)
        | X298 = pull(agent5,trolley5)
        | X299 = n0
        | X299 = n0
        | X299 = n0
        | epred4_2(X299,X298)
        | ~ epred5_2(X299,X298) )
      & ( X299 = n0
        | X298 = pull(agent5,trolley5)
        | X299 = n0
        | X299 = n0
        | X299 = n0
        | epred4_2(X299,X298)
        | ~ epred5_2(X299,X298) )
      & ( X298 = push(agent5,trolley5)
        | X299 = n0
        | X299 = n0
        | X299 = n0
        | X299 = n0
        | epred4_2(X299,X298)
        | ~ epred5_2(X299,X298) )
      & ( X299 = n0
        | X299 = n0
        | X299 = n0
        | X299 = n0
        | X299 = n0
        | epred4_2(X299,X298)
        | ~ epred5_2(X299,X298) )
      & ( ~ epred4_2(X299,X298)
        | epred5_2(X299,X298) )
      & ( X298 != push(agent3,trolley3)
        | X299 != n0
        | epred5_2(X299,X298) )
      & ( X298 != pull(agent4,trolley4)
        | X299 != n0
        | epred5_2(X299,X298) )
      & ( X298 != push(agent4,trolley4)
        | X299 != n0
        | epred5_2(X299,X298) )
      & ( X298 != pull(agent5,trolley5)
        | X299 != n0
        | epred5_2(X299,X298) )
      & ( X298 != push(agent5,trolley5)
        | X299 != n0
        | epred5_2(X299,X298) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])]) ).

fof(c_0_22,plain,
    ! [X296,X297] :
      ( ( X296 = pull(agent3,trolley3)
        | X296 = push(agent2,trolley2)
        | X296 = pull(agent2,trolley2)
        | X296 = push(agent1,trolley1)
        | X296 = pull(agent1,trolley1)
        | ~ epred4_2(X297,X296) )
      & ( X297 = n0
        | X296 = push(agent2,trolley2)
        | X296 = pull(agent2,trolley2)
        | X296 = push(agent1,trolley1)
        | X296 = pull(agent1,trolley1)
        | ~ epred4_2(X297,X296) )
      & ( X296 = pull(agent3,trolley3)
        | X297 = n0
        | X296 = pull(agent2,trolley2)
        | X296 = push(agent1,trolley1)
        | X296 = pull(agent1,trolley1)
        | ~ epred4_2(X297,X296) )
      & ( X297 = n0
        | X297 = n0
        | X296 = pull(agent2,trolley2)
        | X296 = push(agent1,trolley1)
        | X296 = pull(agent1,trolley1)
        | ~ epred4_2(X297,X296) )
      & ( X296 = pull(agent3,trolley3)
        | X296 = push(agent2,trolley2)
        | X297 = n0
        | X296 = push(agent1,trolley1)
        | X296 = pull(agent1,trolley1)
        | ~ epred4_2(X297,X296) )
      & ( X297 = n0
        | X296 = push(agent2,trolley2)
        | X297 = n0
        | X296 = push(agent1,trolley1)
        | X296 = pull(agent1,trolley1)
        | ~ epred4_2(X297,X296) )
      & ( X296 = pull(agent3,trolley3)
        | X297 = n0
        | X297 = n0
        | X296 = push(agent1,trolley1)
        | X296 = pull(agent1,trolley1)
        | ~ epred4_2(X297,X296) )
      & ( X297 = n0
        | X297 = n0
        | X297 = n0
        | X296 = push(agent1,trolley1)
        | X296 = pull(agent1,trolley1)
        | ~ epred4_2(X297,X296) )
      & ( X296 = pull(agent3,trolley3)
        | X296 = push(agent2,trolley2)
        | X296 = pull(agent2,trolley2)
        | X297 = n0
        | X296 = pull(agent1,trolley1)
        | ~ epred4_2(X297,X296) )
      & ( X297 = n0
        | X296 = push(agent2,trolley2)
        | X296 = pull(agent2,trolley2)
        | X297 = n0
        | X296 = pull(agent1,trolley1)
        | ~ epred4_2(X297,X296) )
      & ( X296 = pull(agent3,trolley3)
        | X297 = n0
        | X296 = pull(agent2,trolley2)
        | X297 = n0
        | X296 = pull(agent1,trolley1)
        | ~ epred4_2(X297,X296) )
      & ( X297 = n0
        | X297 = n0
        | X296 = pull(agent2,trolley2)
        | X297 = n0
        | X296 = pull(agent1,trolley1)
        | ~ epred4_2(X297,X296) )
      & ( X296 = pull(agent3,trolley3)
        | X296 = push(agent2,trolley2)
        | X297 = n0
        | X297 = n0
        | X296 = pull(agent1,trolley1)
        | ~ epred4_2(X297,X296) )
      & ( X297 = n0
        | X296 = push(agent2,trolley2)
        | X297 = n0
        | X297 = n0
        | X296 = pull(agent1,trolley1)
        | ~ epred4_2(X297,X296) )
      & ( X296 = pull(agent3,trolley3)
        | X297 = n0
        | X297 = n0
        | X297 = n0
        | X296 = pull(agent1,trolley1)
        | ~ epred4_2(X297,X296) )
      & ( X297 = n0
        | X297 = n0
        | X297 = n0
        | X297 = n0
        | X296 = pull(agent1,trolley1)
        | ~ epred4_2(X297,X296) )
      & ( X296 = pull(agent3,trolley3)
        | X296 = push(agent2,trolley2)
        | X296 = pull(agent2,trolley2)
        | X296 = push(agent1,trolley1)
        | X297 = n0
        | ~ epred4_2(X297,X296) )
      & ( X297 = n0
        | X296 = push(agent2,trolley2)
        | X296 = pull(agent2,trolley2)
        | X296 = push(agent1,trolley1)
        | X297 = n0
        | ~ epred4_2(X297,X296) )
      & ( X296 = pull(agent3,trolley3)
        | X297 = n0
        | X296 = pull(agent2,trolley2)
        | X296 = push(agent1,trolley1)
        | X297 = n0
        | ~ epred4_2(X297,X296) )
      & ( X297 = n0
        | X297 = n0
        | X296 = pull(agent2,trolley2)
        | X296 = push(agent1,trolley1)
        | X297 = n0
        | ~ epred4_2(X297,X296) )
      & ( X296 = pull(agent3,trolley3)
        | X296 = push(agent2,trolley2)
        | X297 = n0
        | X296 = push(agent1,trolley1)
        | X297 = n0
        | ~ epred4_2(X297,X296) )
      & ( X297 = n0
        | X296 = push(agent2,trolley2)
        | X297 = n0
        | X296 = push(agent1,trolley1)
        | X297 = n0
        | ~ epred4_2(X297,X296) )
      & ( X296 = pull(agent3,trolley3)
        | X297 = n0
        | X297 = n0
        | X296 = push(agent1,trolley1)
        | X297 = n0
        | ~ epred4_2(X297,X296) )
      & ( X297 = n0
        | X297 = n0
        | X297 = n0
        | X296 = push(agent1,trolley1)
        | X297 = n0
        | ~ epred4_2(X297,X296) )
      & ( X296 = pull(agent3,trolley3)
        | X296 = push(agent2,trolley2)
        | X296 = pull(agent2,trolley2)
        | X297 = n0
        | X297 = n0
        | ~ epred4_2(X297,X296) )
      & ( X297 = n0
        | X296 = push(agent2,trolley2)
        | X296 = pull(agent2,trolley2)
        | X297 = n0
        | X297 = n0
        | ~ epred4_2(X297,X296) )
      & ( X296 = pull(agent3,trolley3)
        | X297 = n0
        | X296 = pull(agent2,trolley2)
        | X297 = n0
        | X297 = n0
        | ~ epred4_2(X297,X296) )
      & ( X297 = n0
        | X297 = n0
        | X296 = pull(agent2,trolley2)
        | X297 = n0
        | X297 = n0
        | ~ epred4_2(X297,X296) )
      & ( X296 = pull(agent3,trolley3)
        | X296 = push(agent2,trolley2)
        | X297 = n0
        | X297 = n0
        | X297 = n0
        | ~ epred4_2(X297,X296) )
      & ( X297 = n0
        | X296 = push(agent2,trolley2)
        | X297 = n0
        | X297 = n0
        | X297 = n0
        | ~ epred4_2(X297,X296) )
      & ( X296 = pull(agent3,trolley3)
        | X297 = n0
        | X297 = n0
        | X297 = n0
        | X297 = n0
        | ~ epred4_2(X297,X296) )
      & ( X297 = n0
        | X297 = n0
        | X297 = n0
        | X297 = n0
        | X297 = n0
        | ~ epred4_2(X297,X296) )
      & ( X296 != pull(agent1,trolley1)
        | X297 != n0
        | epred4_2(X297,X296) )
      & ( X296 != push(agent1,trolley1)
        | X297 != n0
        | epred4_2(X297,X296) )
      & ( X296 != pull(agent2,trolley2)
        | X297 != n0
        | epred4_2(X297,X296) )
      & ( X296 != push(agent2,trolley2)
        | X297 != n0
        | epred4_2(X297,X296) )
      & ( X296 != pull(agent3,trolley3)
        | X297 != n0
        | epred4_2(X297,X296) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).

fof(c_0_23,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(assume_negation,[status(cth)],[spinning_3]) ).

cnf(c_0_24,plain,
    ( holdsAt(X1,plus(X2,n1))
    | ~ epred1_3(X2,X3,X1)
    | ~ happens(X3,X2) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_25,plain,
    ( epred1_3(X1,pull(X2,X3),spinning(X3))
    | ~ happens(push(X2,X3),X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_18])]) ).

cnf(c_0_26,plain,
    ( happens(X1,X2)
    | X1 != pull(agent9,trolley9)
    | X2 != n0 ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_27,plain,
    ( happens(X1,X2)
    | X1 != push(agent9,trolley9)
    | X2 != n0 ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_28,plain,
    ( epred6_2(X2,X1)
    | X1 != pull(agent8,trolley8)
    | X2 != n0 ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_29,plain,
    ( happens(X2,X1)
    | ~ epred6_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_30,plain,
    ( epred6_2(X1,X2)
    | ~ epred5_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_31,plain,
    ( epred5_2(X2,X1)
    | X1 != pull(agent4,trolley4)
    | X2 != n0 ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_32,plain,
    ( epred5_2(X2,X1)
    | X1 != push(agent4,trolley4)
    | X2 != n0 ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_33,plain,
    ( epred5_2(X2,X1)
    | X1 != pull(agent5,trolley5)
    | X2 != n0 ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_34,plain,
    ( epred5_2(X2,X1)
    | X1 != push(agent5,trolley5)
    | X2 != n0 ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_35,plain,
    ( epred6_2(X2,X1)
    | X1 != pull(agent6,trolley6)
    | X2 != n0 ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_36,plain,
    ( epred6_2(X2,X1)
    | X1 != push(agent6,trolley6)
    | X2 != n0 ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_37,plain,
    ( epred6_2(X2,X1)
    | X1 != pull(agent7,trolley7)
    | X2 != n0 ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_38,plain,
    ( epred6_2(X2,X1)
    | X1 != push(agent7,trolley7)
    | X2 != n0 ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_39,plain,
    ( epred4_2(X2,X1)
    | X1 != pull(agent3,trolley3)
    | X2 != n0 ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

fof(c_0_40,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(fof_nnf,[status(thm)],[c_0_23]) ).

cnf(c_0_41,plain,
    ( holdsAt(spinning(X1),plus(X2,n1))
    | ~ happens(pull(X3,X1),X2)
    | ~ happens(push(X3,X1),X2) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_42,plain,
    happens(pull(agent9,trolley9),n0),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_26])]) ).

cnf(c_0_43,plain,
    plus(n0,n1) = n1,
    inference(split_conjunct,[status(thm)],[plus0_1]) ).

cnf(c_0_44,plain,
    happens(push(agent9,trolley9),n0),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_27])]) ).

cnf(c_0_45,plain,
    epred6_2(n0,pull(agent8,trolley8)),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_28])]) ).

cnf(c_0_46,plain,
    ( happens(X1,X2)
    | X1 != push(agent8,trolley8)
    | X2 != n0 ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_47,plain,
    ( happens(X1,X2)
    | ~ epred5_2(X2,X1) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_48,plain,
    epred5_2(n0,pull(agent4,trolley4)),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_31])]) ).

cnf(c_0_49,plain,
    epred5_2(n0,push(agent4,trolley4)),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_32])]) ).

cnf(c_0_50,plain,
    epred5_2(n0,pull(agent5,trolley5)),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_33])]) ).

cnf(c_0_51,plain,
    epred5_2(n0,push(agent5,trolley5)),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_34])]) ).

cnf(c_0_52,plain,
    epred6_2(n0,pull(agent6,trolley6)),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_35])]) ).

cnf(c_0_53,plain,
    epred6_2(n0,push(agent6,trolley6)),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_36])]) ).

cnf(c_0_54,plain,
    epred6_2(n0,pull(agent7,trolley7)),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_37])]) ).

cnf(c_0_55,plain,
    epred6_2(n0,push(agent7,trolley7)),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_38])]) ).

cnf(c_0_56,plain,
    ( epred5_2(X1,X2)
    | ~ epred4_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_57,plain,
    epred4_2(n0,pull(agent3,trolley3)),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_39])]) ).

cnf(c_0_58,plain,
    ( epred5_2(X2,X1)
    | X1 != push(agent3,trolley3)
    | X2 != n0 ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_59,plain,
    ( epred4_2(X2,X1)
    | X1 != pull(agent2,trolley2)
    | X2 != n0 ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_60,plain,
    ( epred4_2(X2,X1)
    | X1 != push(agent2,trolley2)
    | X2 != n0 ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_61,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(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_62,plain,
    holdsAt(spinning(trolley9),n1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]),c_0_44])]) ).

cnf(c_0_63,plain,
    happens(pull(agent8,trolley8),n0),
    inference(spm,[status(thm)],[c_0_29,c_0_45]) ).

cnf(c_0_64,plain,
    happens(push(agent8,trolley8),n0),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_46])]) ).

cnf(c_0_65,plain,
    happens(pull(agent4,trolley4),n0),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_66,plain,
    happens(push(agent4,trolley4),n0),
    inference(spm,[status(thm)],[c_0_47,c_0_49]) ).

cnf(c_0_67,plain,
    happens(pull(agent5,trolley5),n0),
    inference(spm,[status(thm)],[c_0_47,c_0_50]) ).

cnf(c_0_68,plain,
    happens(push(agent5,trolley5),n0),
    inference(spm,[status(thm)],[c_0_47,c_0_51]) ).

cnf(c_0_69,plain,
    happens(pull(agent6,trolley6),n0),
    inference(spm,[status(thm)],[c_0_29,c_0_52]) ).

cnf(c_0_70,plain,
    happens(push(agent6,trolley6),n0),
    inference(spm,[status(thm)],[c_0_29,c_0_53]) ).

cnf(c_0_71,plain,
    happens(pull(agent7,trolley7),n0),
    inference(spm,[status(thm)],[c_0_29,c_0_54]) ).

cnf(c_0_72,plain,
    happens(push(agent7,trolley7),n0),
    inference(spm,[status(thm)],[c_0_29,c_0_55]) ).

cnf(c_0_73,plain,
    epred5_2(n0,pull(agent3,trolley3)),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

cnf(c_0_74,plain,
    epred5_2(n0,push(agent3,trolley3)),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_58])]) ).

cnf(c_0_75,plain,
    epred4_2(n0,pull(agent2,trolley2)),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_59])]) ).

cnf(c_0_76,plain,
    epred4_2(n0,push(agent2,trolley2)),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_60])]) ).

cnf(c_0_77,plain,
    ( epred4_2(X2,X1)
    | X1 != pull(agent1,trolley1)
    | X2 != n0 ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_78,plain,
    ( epred4_2(X2,X1)
    | X1 != push(agent1,trolley1)
    | X2 != n0 ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_79,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) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_62])]) ).

cnf(c_0_80,plain,
    holdsAt(spinning(trolley8),n1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_63]),c_0_43]),c_0_64])]) ).

cnf(c_0_81,plain,
    holdsAt(spinning(trolley4),n1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_65]),c_0_43]),c_0_66])]) ).

cnf(c_0_82,plain,
    holdsAt(spinning(trolley5),n1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_67]),c_0_43]),c_0_68])]) ).

cnf(c_0_83,plain,
    holdsAt(spinning(trolley6),n1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_69]),c_0_43]),c_0_70])]) ).

cnf(c_0_84,plain,
    holdsAt(spinning(trolley7),n1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_71]),c_0_43]),c_0_72])]) ).

cnf(c_0_85,plain,
    happens(pull(agent3,trolley3),n0),
    inference(spm,[status(thm)],[c_0_47,c_0_73]) ).

cnf(c_0_86,plain,
    happens(push(agent3,trolley3),n0),
    inference(spm,[status(thm)],[c_0_47,c_0_74]) ).

cnf(c_0_87,plain,
    epred5_2(n0,pull(agent2,trolley2)),
    inference(spm,[status(thm)],[c_0_56,c_0_75]) ).

cnf(c_0_88,plain,
    epred5_2(n0,push(agent2,trolley2)),
    inference(spm,[status(thm)],[c_0_56,c_0_76]) ).

cnf(c_0_89,plain,
    epred4_2(n0,pull(agent1,trolley1)),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_77])]) ).

cnf(c_0_90,plain,
    epred4_2(n0,push(agent1,trolley1)),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_78])]) ).

cnf(c_0_91,negated_conjecture,
    ( ~ holdsAt(spinning(trolley1),n1)
    | ~ holdsAt(spinning(trolley2),n1)
    | ~ holdsAt(spinning(trolley3),n1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_80])]),c_0_81]),c_0_82]),c_0_83]),c_0_84])]) ).

cnf(c_0_92,plain,
    holdsAt(spinning(trolley3),n1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_85]),c_0_43]),c_0_86])]) ).

cnf(c_0_93,plain,
    happens(pull(agent2,trolley2),n0),
    inference(spm,[status(thm)],[c_0_47,c_0_87]) ).

cnf(c_0_94,plain,
    happens(push(agent2,trolley2),n0),
    inference(spm,[status(thm)],[c_0_47,c_0_88]) ).

cnf(c_0_95,plain,
    epred5_2(n0,pull(agent1,trolley1)),
    inference(spm,[status(thm)],[c_0_56,c_0_89]) ).

cnf(c_0_96,plain,
    epred5_2(n0,push(agent1,trolley1)),
    inference(spm,[status(thm)],[c_0_56,c_0_90]) ).

cnf(c_0_97,negated_conjecture,
    ( ~ holdsAt(spinning(trolley1),n1)
    | ~ holdsAt(spinning(trolley2),n1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_92])]) ).

cnf(c_0_98,plain,
    holdsAt(spinning(trolley2),n1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_93]),c_0_43]),c_0_94])]) ).

cnf(c_0_99,plain,
    happens(pull(agent1,trolley1),n0),
    inference(spm,[status(thm)],[c_0_47,c_0_95]) ).

cnf(c_0_100,plain,
    happens(push(agent1,trolley1),n0),
    inference(spm,[status(thm)],[c_0_47,c_0_96]) ).

cnf(c_0_101,negated_conjecture,
    ~ holdsAt(spinning(trolley1),n1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_98])]) ).

cnf(c_0_102,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_99]),c_0_43]),c_0_100])]),c_0_101]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : CSR024+1.009 : TPTP v9.2.1. Bugfixed v3.1.0.
% 0.00/0.13  % Command    : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33  % Computer : n015.cluster.edu
% 0.15/0.33  % Model    : x86_64 x86_64
% 0.15/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33  % Memory   : 8042.1875MB
% 0.15/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit   : 300
% 0.15/0.34  % WCLimit    : 300
% 0.15/0.34  % DateTime   : Mon May  4 16:26:47 EDT 2026
% 0.15/0.34  % CPUTime    : 
% 0.15/0.35  % start to proof: theBenchmark
% 1.44/1.76  % Version  : CSE_E---1.7
% 1.44/1.76  % Problem  : theBenchmark.p
% 1.44/1.76  % SZS status Theorem for theBenchmark.p
% 1.44/1.76  % SZS output start CNFRefutation
% See solution above
% 1.44/1.77  % Total time : 1.370s
%------------------------------------------------------------------------------