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FindProof---0.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : CSR023+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300

% Computer : n006.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 01:05:13 PM UTC 2026

% Result   : Theorem 17.56s 7.78s
% Output   : Proof 17.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   28 (  10 unt;   0 def)
%            Number of atoms       :  138 (  79 equ)
%            Maximal formula atoms :   20 (   4 avg)
%            Number of connectives :  173 (  63   ~;  62   |;  45   &)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   9 con; 0-2 aty)
%            Number of variables   :   40 (   0 sgn  24   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f15,axiom,
    ! [Event,Time] :
      ( happens(Event,Time)
    <=> ( ( Time = n2
          & Event = push )
        | ( Time = n2
          & Event = pull )
        | ( Time = n1
          & Event = pull )
        | ( Time = n0
          & Event = push ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',happens_all_defn) ).

fof(f15_nnf,plain,
    ! [Event,Time] :
      ( ( ( ( Time != n2
            | Event != push )
          & ( Time != n2
            | Event != pull )
          & ( Time != n1
            | Event != pull )
          & ( Time != n0
            | Event != push ) )
        | happens(Event,Time) )
      & ( ( Time = n2
          & Event = push )
        | ( Time = n2
          & Event = pull )
        | ( Time = n1
          & Event = pull )
        | ( Time = n0
          & Event = push )
        | ~ happens(Event,Time) ) ),
    inference(nnf_transformation,[status(thm)],[f15]) ).

fof(f15_sk,plain,
    ! [Event,Time] :
      ( ( ( ( Time != n2
            | Event != push )
          & ( Time != n2
            | Event != pull )
          & ( Time != n1
            | Event != pull )
          & ( Time != n0
            | Event != push ) )
        | happens(Event,Time) )
      & ( ( Time = n2
          & Event = push )
        | ( Time = n2
          & Event = pull )
        | ( Time = n1
          & Event = pull )
        | ( Time = n0
          & Event = push )
        | ~ happens(Event,Time) ) ),
    inference(skolemisation,[status(esa)],[f15_nnf]) ).

cnf(c187,plain,
    ( X1 != n2
    | X0 != push
    | happens(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f15_sk]) ).

cnf(p320,plain,
    ( X0 != n2
    | happens(push,X0) ),
    inference(equality_resolution,[status(thm)],[c187]) ).

cnf(p432,plain,
    happens(push,n2),
    inference(equality_resolution,[status(thm)],[p320]) ).

fof(f12,axiom,
    ! [Event,Fluent,Time] :
      ( initiates(Event,Fluent,Time)
    <=> ( ( happens(push,Time)
          & Fluent = spinning
          & Event = pull )
        | ( ~ happens(push,Time)
          & Fluent = backwards
          & Event = pull )
        | ( ~ happens(pull,Time)
          & Fluent = forwards
          & Event = push ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',initiates_all_defn) ).

fof(f12_nnf,plain,
    ! [Event,Fluent,Time] :
      ( ( ( ( ~ happens(push,Time)
            | Fluent != spinning
            | Event != pull )
          & ( happens(push,Time)
            | Fluent != backwards
            | Event != pull )
          & ( happens(pull,Time)
            | Fluent != forwards
            | Event != push ) )
        | initiates(Event,Fluent,Time) )
      & ( ( happens(push,Time)
          & Fluent = spinning
          & Event = pull )
        | ( ~ happens(push,Time)
          & Fluent = backwards
          & Event = pull )
        | ( ~ happens(pull,Time)
          & Fluent = forwards
          & Event = push )
        | ~ initiates(Event,Fluent,Time) ) ),
    inference(nnf_transformation,[status(thm)],[f12]) ).

fof(f12_sk,plain,
    ! [Event,Fluent,Time] :
      ( ( ( ( ~ happens(push,Time)
            | Fluent != spinning
            | Event != pull )
          & ( happens(push,Time)
            | Fluent != backwards
            | Event != pull )
          & ( happens(pull,Time)
            | Fluent != forwards
            | Event != push ) )
        | initiates(Event,Fluent,Time) )
      & ( ( happens(push,Time)
          & Fluent = spinning
          & Event = pull )
        | ( ~ happens(push,Time)
          & Fluent = backwards
          & Event = pull )
        | ( ~ happens(pull,Time)
          & Fluent = forwards
          & Event = push )
        | ~ initiates(Event,Fluent,Time) ) ),
    inference(skolemisation,[status(esa)],[f12_nnf]) ).

cnf(c54,plain,
    ( ~ happens(push,X2)
    | X1 != spinning
    | X0 != pull
    | initiates(X0,X1,X2) ),
    inference(cnf_transformation,[status(esa)],[f12_sk]) ).

cnf(p257,plain,
    ( ~ happens(push,X1)
    | X0 != spinning
    | initiates(pull,X0,X1) ),
    inference(equality_resolution,[status(thm)],[c54]) ).

cnf(p367,plain,
    ( ~ happens(push,X0)
    | initiates(pull,spinning,X0) ),
    inference(equality_resolution,[status(thm)],[p257]) ).

cnf(p615,plain,
    initiates(pull,spinning,n2),
    inference(resolution,[status(thm)],[p432,p367]) ).

cnf(c186,plain,
    ( X1 != n2
    | X0 != pull
    | happens(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f15_sk]) ).

cnf(p318,plain,
    ( X0 != n2
    | happens(pull,X0) ),
    inference(equality_resolution,[status(thm)],[c186]) ).

cnf(p431,plain,
    happens(pull,n2),
    inference(equality_resolution,[status(thm)],[p318]) ).

fof(f8,axiom,
    ! [Event,Time,Fluent] :
      ( ( initiates(Event,Fluent,Time)
        & happens(Event,Time) )
     => holdsAt(Fluent,plus(Time,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',happens_holds) ).

fof(f8_nnf,plain,
    ! [Event,Time,Fluent] :
      ( holdsAt(Fluent,plus(Time,n1))
      | ~ initiates(Event,Fluent,Time)
      | ~ happens(Event,Time) ),
    inference(nnf_transformation,[status(thm)],[f8]) ).

fof(f8_sk,plain,
    ! [Event,Time,Fluent] :
      ( holdsAt(Fluent,plus(Time,n1))
      | ~ initiates(Event,Fluent,Time)
      | ~ happens(Event,Time) ),
    inference(skolemisation,[status(esa)],[f8_nnf]) ).

cnf(c20,plain,
    ( holdsAt(X2,plus(X1,n1))
    | ~ initiates(X0,X2,X1)
    | ~ happens(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f8_sk]) ).

cnf(p600,plain,
    ( holdsAt(X0,n3)
    | ~ initiates(pull,X0,n2) ),
    inference(resolution,[status(thm)],[p431,c20]) ).

cnf(p1264,plain,
    holdsAt(spinning,n3),
    inference(resolution,[status(thm)],[p615,p600]) ).

fof(f47,conjecture,
    holdsAt(spinning,n3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',spinning_3) ).

fof(f47_neg,negated_conjecture,
    ~ holdsAt(spinning,n3),
    inference(negated_conjecture,[status(cth)],[f47]) ).

fof(f47_nnf,plain,
    ~ holdsAt(spinning,n3),
    inference(nnf_transformation,[status(thm)],[f47_neg]) ).

fof(f47_sk,plain,
    ~ holdsAt(spinning,n3),
    inference(skolemisation,[status(esa)],[f47_nnf]) ).

cnf(c232,plain,
    ~ holdsAt(spinning,n3),
    inference(cnf_transformation,[status(esa)],[f47_sk]) ).

cnf(p5409,plain,
    $false,
    inference(resolution,[status(thm)],[p1264,c232]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR023+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.13/5.39  % Computer : n006.cluster.edu
% 0.13/5.39  % Model    : x86_64 x86_64
% 0.13/5.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/5.39  % Memory   : 8046.5625MB
% 0.13/5.39  % OS       : Linux 6.8.0-71-generic
% 0.13/5.39  % CPULimit : 300
% 0.13/5.39  % WCLimit  : 300
% 0.13/5.39  % DateTime : Fri Sep 25 08:08:02 UTC 2026
% 0.13/5.39  % CPUTime  : 
% 0.13/5.39  Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 17.56/7.78  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.56/7.78  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------