TSTP Solution File: CSR017+1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : CSR017+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n006.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 Apr 30 20:14:19 EDT 2024

% Result   : Theorem 1.27s 0.61s
% Output   : CNFRefutation 1.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   28
% Syntax   : Number of formulae    :  130 (  26 unt;   0 def)
%            Number of atoms       :  421 ( 151 equ)
%            Maximal formula atoms :   19 (   3 avg)
%            Number of connectives :  454 ( 163   ~; 170   |;  95   &)
%                                         (  25 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   22 (  20 usr;  12 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;  10 con; 0-2 aty)
%            Number of variables   :  131 ( 130   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f10,axiom,
    ! [Event,Time,Fluent] :
      ( ( happens(Event,Time)
        & terminates(Event,Fluent,Time) )
     => ~ holdsAt(Fluent,plus(Time,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f14,axiom,
    ! [Event,Fluent,Time] :
      ( terminates(Event,Fluent,Time)
    <=> ( ( Event = push
          & Fluent = backwards
          & ~ happens(pull,Time) )
        | ( Event = pull
          & Fluent = forwards
          & ~ happens(push,Time) )
        | ( Event = pull
          & Fluent = forwards
          & happens(push,Time) )
        | ( Event = pull
          & Fluent = backwards
          & happens(push,Time) )
        | ( Event = push
          & Fluent = spinning
          & ~ happens(pull,Time) )
        | ( Event = pull
          & Fluent = spinning
          & ~ happens(push,Time) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16,axiom,
    ! [Event,Time] :
      ( happens(Event,Time)
    <=> ( ( Event = push
          & Time = n0 )
        | ( Event = pull
          & Time = n1 )
        | ( Event = pull
          & Time = n2 )
        | ( Event = push
          & Time = n2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f17,axiom,
    push != pull,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f22,axiom,
    plus(n0,n1) = n1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f24,axiom,
    plus(n0,n3) = n3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f27,axiom,
    plus(n1,n3) = n4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f32,axiom,
    ! [X,Y] :
      ( less_or_equal(X,Y)
    <=> ( less(X,Y)
        | X = Y ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f33,axiom,
    ~ ? [X] : less(X,n0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f35,axiom,
    ! [X] :
      ( less(X,n2)
    <=> less_or_equal(X,n1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f37,axiom,
    ! [X] :
      ( less(X,n4)
    <=> less_or_equal(X,n3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f43,axiom,
    ! [X,Y] :
      ( less(X,Y)
    <=> ( ~ less(Y,X)
        & Y != X ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f48,conjecture,
    ~ holdsAt(spinning,n1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f49,negated_conjecture,
    ~ ~ holdsAt(spinning,n1),
    inference(negated_conjecture,[status(cth)],[f48]) ).

fof(f91,plain,
    ! [Event,Time,Fluent] :
      ( ~ happens(Event,Time)
      | ~ terminates(Event,Fluent,Time)
      | ~ holdsAt(Fluent,plus(Time,n1)) ),
    inference(pre_NNF_transformation,[status(esa)],[f10]) ).

fof(f92,plain,
    ! [Time,Fluent] :
      ( ! [Event] :
          ( ~ happens(Event,Time)
          | ~ terminates(Event,Fluent,Time) )
      | ~ holdsAt(Fluent,plus(Time,n1)) ),
    inference(miniscoping,[status(esa)],[f91]) ).

fof(f93,plain,
    ! [X0,X1,X2] :
      ( ~ happens(X0,X1)
      | ~ terminates(X0,X2,X1)
      | ~ holdsAt(X2,plus(X1,n1)) ),
    inference(cnf_transformation,[status(esa)],[f92]) ).

fof(f110,plain,
    ! [Event,Fluent,Time] :
      ( pd0_1(Time,Fluent,Event)
    <=> ( ( Event = push
          & Fluent = backwards
          & ~ happens(pull,Time) )
        | ( Event = pull
          & Fluent = forwards
          & ~ happens(push,Time) )
        | ( Event = pull
          & Fluent = forwards
          & happens(push,Time) )
        | ( Event = pull
          & Fluent = backwards
          & happens(push,Time) )
        | ( Event = push
          & Fluent = spinning
          & ~ happens(pull,Time) ) ) ),
    introduced(predicate_definition,[f14]) ).

fof(f111,plain,
    ! [Event,Fluent,Time] :
      ( terminates(Event,Fluent,Time)
    <=> ( pd0_1(Time,Fluent,Event)
        | ( Event = pull
          & Fluent = spinning
          & ~ happens(push,Time) ) ) ),
    inference(formula_renaming,[status(thm)],[f14,f110]) ).

fof(f112,plain,
    ! [Event,Fluent,Time] :
      ( ( ~ terminates(Event,Fluent,Time)
        | pd0_1(Time,Fluent,Event)
        | ( Event = pull
          & Fluent = spinning
          & ~ happens(push,Time) ) )
      & ( terminates(Event,Fluent,Time)
        | ( ~ pd0_1(Time,Fluent,Event)
          & ( Event != pull
            | Fluent != spinning
            | happens(push,Time) ) ) ) ),
    inference(NNF_transformation,[status(esa)],[f111]) ).

fof(f113,plain,
    ( ! [Event,Fluent,Time] :
        ( ~ terminates(Event,Fluent,Time)
        | pd0_1(Time,Fluent,Event)
        | ( Event = pull
          & Fluent = spinning
          & ~ happens(push,Time) ) )
    & ! [Event,Fluent,Time] :
        ( terminates(Event,Fluent,Time)
        | ( ~ pd0_1(Time,Fluent,Event)
          & ( Event != pull
            | Fluent != spinning
            | happens(push,Time) ) ) ) ),
    inference(miniscoping,[status(esa)],[f112]) ).

fof(f117,plain,
    ! [X0,X1,X2] :
      ( terminates(X0,X1,X2)
      | ~ pd0_1(X2,X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f113]) ).

fof(f120,plain,
    ! [Event,Time] :
      ( pd0_2(Time,Event)
    <=> ( ( Event = push
          & Time = n0 )
        | ( Event = pull
          & Time = n1 )
        | ( Event = pull
          & Time = n2 ) ) ),
    introduced(predicate_definition,[f16]) ).

fof(f121,plain,
    ! [Event,Time] :
      ( happens(Event,Time)
    <=> ( pd0_2(Time,Event)
        | ( Event = push
          & Time = n2 ) ) ),
    inference(formula_renaming,[status(thm)],[f16,f120]) ).

fof(f122,plain,
    ! [Event,Time] :
      ( ( ~ happens(Event,Time)
        | pd0_2(Time,Event)
        | ( Event = push
          & Time = n2 ) )
      & ( happens(Event,Time)
        | ( ~ pd0_2(Time,Event)
          & ( Event != push
            | Time != n2 ) ) ) ),
    inference(NNF_transformation,[status(esa)],[f121]) ).

fof(f123,plain,
    ( ! [Event,Time] :
        ( ~ happens(Event,Time)
        | pd0_2(Time,Event)
        | ( Event = push
          & Time = n2 ) )
    & ! [Event,Time] :
        ( happens(Event,Time)
        | ( ~ pd0_2(Time,Event)
          & ( Event != push
            | Time != n2 ) ) ) ),
    inference(miniscoping,[status(esa)],[f122]) ).

fof(f125,plain,
    ! [X0,X1] :
      ( ~ happens(X0,X1)
      | pd0_2(X1,X0)
      | X1 = n2 ),
    inference(cnf_transformation,[status(esa)],[f123]) ).

fof(f126,plain,
    ! [X0,X1] :
      ( happens(X0,X1)
      | ~ pd0_2(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f123]) ).

fof(f128,plain,
    push != pull,
    inference(cnf_transformation,[status(esa)],[f17]) ).

fof(f133,plain,
    plus(n0,n1) = n1,
    inference(cnf_transformation,[status(esa)],[f22]) ).

fof(f135,plain,
    plus(n0,n3) = n3,
    inference(cnf_transformation,[status(esa)],[f24]) ).

fof(f138,plain,
    plus(n1,n3) = n4,
    inference(cnf_transformation,[status(esa)],[f27]) ).

fof(f143,plain,
    ! [X,Y] :
      ( ( ~ less_or_equal(X,Y)
        | less(X,Y)
        | X = Y )
      & ( less_or_equal(X,Y)
        | ( ~ less(X,Y)
          & X != Y ) ) ),
    inference(NNF_transformation,[status(esa)],[f32]) ).

fof(f144,plain,
    ( ! [X,Y] :
        ( ~ less_or_equal(X,Y)
        | less(X,Y)
        | X = Y )
    & ! [X,Y] :
        ( less_or_equal(X,Y)
        | ( ~ less(X,Y)
          & X != Y ) ) ),
    inference(miniscoping,[status(esa)],[f143]) ).

fof(f146,plain,
    ! [X0,X1] :
      ( less_or_equal(X0,X1)
      | ~ less(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f144]) ).

fof(f147,plain,
    ! [X0,X1] :
      ( less_or_equal(X0,X1)
      | X0 != X1 ),
    inference(cnf_transformation,[status(esa)],[f144]) ).

fof(f148,plain,
    ! [X] : ~ less(X,n0),
    inference(pre_NNF_transformation,[status(esa)],[f33]) ).

fof(f149,plain,
    ! [X0] : ~ less(X0,n0),
    inference(cnf_transformation,[status(esa)],[f148]) ).

fof(f154,plain,
    ! [X] :
      ( ( ~ less(X,n2)
        | less_or_equal(X,n1) )
      & ( less(X,n2)
        | ~ less_or_equal(X,n1) ) ),
    inference(NNF_transformation,[status(esa)],[f35]) ).

fof(f155,plain,
    ( ! [X] :
        ( ~ less(X,n2)
        | less_or_equal(X,n1) )
    & ! [X] :
        ( less(X,n2)
        | ~ less_or_equal(X,n1) ) ),
    inference(miniscoping,[status(esa)],[f154]) ).

fof(f157,plain,
    ! [X0] :
      ( less(X0,n2)
      | ~ less_or_equal(X0,n1) ),
    inference(cnf_transformation,[status(esa)],[f155]) ).

fof(f162,plain,
    ! [X] :
      ( ( ~ less(X,n4)
        | less_or_equal(X,n3) )
      & ( less(X,n4)
        | ~ less_or_equal(X,n3) ) ),
    inference(NNF_transformation,[status(esa)],[f37]) ).

fof(f163,plain,
    ( ! [X] :
        ( ~ less(X,n4)
        | less_or_equal(X,n3) )
    & ! [X] :
        ( less(X,n4)
        | ~ less_or_equal(X,n3) ) ),
    inference(miniscoping,[status(esa)],[f162]) ).

fof(f165,plain,
    ! [X0] :
      ( less(X0,n4)
      | ~ less_or_equal(X0,n3) ),
    inference(cnf_transformation,[status(esa)],[f163]) ).

fof(f186,plain,
    ! [X,Y] :
      ( ( ~ less(X,Y)
        | ( ~ less(Y,X)
          & Y != X ) )
      & ( less(X,Y)
        | less(Y,X)
        | Y = X ) ),
    inference(NNF_transformation,[status(esa)],[f43]) ).

fof(f187,plain,
    ( ! [X,Y] :
        ( ~ less(X,Y)
        | ( ~ less(Y,X)
          & Y != X ) )
    & ! [X,Y] :
        ( less(X,Y)
        | less(Y,X)
        | Y = X ) ),
    inference(miniscoping,[status(esa)],[f186]) ).

fof(f189,plain,
    ! [X0,X1] :
      ( ~ less(X0,X1)
      | X1 != X0 ),
    inference(cnf_transformation,[status(esa)],[f187]) ).

fof(f190,plain,
    ! [X0,X1] :
      ( less(X0,X1)
      | less(X1,X0)
      | X1 = X0 ),
    inference(cnf_transformation,[status(esa)],[f187]) ).

fof(f195,plain,
    holdsAt(spinning,n1),
    inference(cnf_transformation,[status(esa)],[f49]) ).

fof(f205,plain,
    ! [Event,Fluent,Time] :
      ( pd0_4(Time,Fluent,Event)
    <=> ( ( Event = push
          & Fluent = backwards
          & ~ happens(pull,Time) )
        | ( Event = pull
          & Fluent = forwards
          & ~ happens(push,Time) )
        | ( Event = pull
          & Fluent = forwards
          & happens(push,Time) )
        | ( Event = pull
          & Fluent = backwards
          & happens(push,Time) ) ) ),
    introduced(predicate_definition,[f110]) ).

fof(f206,plain,
    ! [Event,Fluent,Time] :
      ( pd0_1(Time,Fluent,Event)
    <=> ( pd0_4(Time,Fluent,Event)
        | ( Event = push
          & Fluent = spinning
          & ~ happens(pull,Time) ) ) ),
    inference(formula_renaming,[status(thm)],[f110,f205]) ).

fof(f207,plain,
    ! [Event,Fluent,Time] :
      ( ( ~ pd0_1(Time,Fluent,Event)
        | pd0_4(Time,Fluent,Event)
        | ( Event = push
          & Fluent = spinning
          & ~ happens(pull,Time) ) )
      & ( pd0_1(Time,Fluent,Event)
        | ( ~ pd0_4(Time,Fluent,Event)
          & ( Event != push
            | Fluent != spinning
            | happens(pull,Time) ) ) ) ),
    inference(NNF_transformation,[status(esa)],[f206]) ).

fof(f208,plain,
    ( ! [Event,Fluent,Time] :
        ( ~ pd0_1(Time,Fluent,Event)
        | pd0_4(Time,Fluent,Event)
        | ( Event = push
          & Fluent = spinning
          & ~ happens(pull,Time) ) )
    & ! [Event,Fluent,Time] :
        ( pd0_1(Time,Fluent,Event)
        | ( ~ pd0_4(Time,Fluent,Event)
          & ( Event != push
            | Fluent != spinning
            | happens(pull,Time) ) ) ) ),
    inference(miniscoping,[status(esa)],[f207]) ).

fof(f213,plain,
    ! [X0,X1,X2] :
      ( pd0_1(X0,X1,X2)
      | X2 != push
      | X1 != spinning
      | happens(pull,X0) ),
    inference(cnf_transformation,[status(esa)],[f208]) ).

fof(f214,plain,
    ! [Event,Time] :
      ( pd0_5(Time,Event)
    <=> ( ( Event = push
          & Time = n0 )
        | ( Event = pull
          & Time = n1 ) ) ),
    introduced(predicate_definition,[f120]) ).

fof(f215,plain,
    ! [Event,Time] :
      ( pd0_2(Time,Event)
    <=> ( pd0_5(Time,Event)
        | ( Event = pull
          & Time = n2 ) ) ),
    inference(formula_renaming,[status(thm)],[f120,f214]) ).

fof(f216,plain,
    ! [Event,Time] :
      ( ( ~ pd0_2(Time,Event)
        | pd0_5(Time,Event)
        | ( Event = pull
          & Time = n2 ) )
      & ( pd0_2(Time,Event)
        | ( ~ pd0_5(Time,Event)
          & ( Event != pull
            | Time != n2 ) ) ) ),
    inference(NNF_transformation,[status(esa)],[f215]) ).

fof(f217,plain,
    ( ! [Event,Time] :
        ( ~ pd0_2(Time,Event)
        | pd0_5(Time,Event)
        | ( Event = pull
          & Time = n2 ) )
    & ! [Event,Time] :
        ( pd0_2(Time,Event)
        | ( ~ pd0_5(Time,Event)
          & ( Event != pull
            | Time != n2 ) ) ) ),
    inference(miniscoping,[status(esa)],[f216]) ).

fof(f219,plain,
    ! [X0,X1] :
      ( ~ pd0_2(X0,X1)
      | pd0_5(X0,X1)
      | X0 = n2 ),
    inference(cnf_transformation,[status(esa)],[f217]) ).

fof(f220,plain,
    ! [X0,X1] :
      ( pd0_2(X0,X1)
      | ~ pd0_5(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f217]) ).

fof(f237,plain,
    ! [Event,Time] :
      ( ( ~ pd0_5(Time,Event)
        | ( Event = push
          & Time = n0 )
        | ( Event = pull
          & Time = n1 ) )
      & ( pd0_5(Time,Event)
        | ( ( Event != push
            | Time != n0 )
          & ( Event != pull
            | Time != n1 ) ) ) ),
    inference(NNF_transformation,[status(esa)],[f214]) ).

fof(f238,plain,
    ( ! [Event,Time] :
        ( ~ pd0_5(Time,Event)
        | ( Event = push
          & Time = n0 )
        | ( Event = pull
          & Time = n1 ) )
    & ! [Event,Time] :
        ( pd0_5(Time,Event)
        | ( ( Event != push
            | Time != n0 )
          & ( Event != pull
            | Time != n1 ) ) ) ),
    inference(miniscoping,[status(esa)],[f237]) ).

fof(f240,plain,
    ! [X0,X1] :
      ( ~ pd0_5(X0,X1)
      | X1 = push
      | X0 = n1 ),
    inference(cnf_transformation,[status(esa)],[f238]) ).

fof(f243,plain,
    ! [X0,X1] :
      ( pd0_5(X0,X1)
      | X1 != push
      | X0 != n0 ),
    inference(cnf_transformation,[status(esa)],[f238]) ).

fof(f272,plain,
    ! [X0] : less_or_equal(X0,X0),
    inference(destructive_equality_resolution,[status(esa)],[f147]) ).

fof(f273,plain,
    ! [X0] : ~ less(X0,X0),
    inference(destructive_equality_resolution,[status(esa)],[f189]) ).

fof(f275,plain,
    ! [X0] :
      ( pd0_1(X0,spinning,push)
      | happens(pull,X0) ),
    inference(destructive_equality_resolution,[status(esa)],[f213]) ).

fof(f279,plain,
    pd0_5(n0,push),
    inference(destructive_equality_resolution,[status(esa)],[f243]) ).

fof(f292,plain,
    ~ less_or_equal(n2,n1),
    inference(resolution,[status(thm)],[f273,f157]) ).

fof(f297,plain,
    ~ less(n2,n1),
    inference(resolution,[status(thm)],[f292,f146]) ).

fof(f299,plain,
    ( spl0_0
  <=> less(n1,n2) ),
    introduced(split_symbol_definition) ).

fof(f300,plain,
    ( less(n1,n2)
    | ~ spl0_0 ),
    inference(component_clause,[status(thm)],[f299]) ).

fof(f302,plain,
    ( spl0_1
  <=> n2 = n1 ),
    introduced(split_symbol_definition) ).

fof(f303,plain,
    ( n2 = n1
    | ~ spl0_1 ),
    inference(component_clause,[status(thm)],[f302]) ).

fof(f305,plain,
    ( less(n1,n2)
    | n2 = n1 ),
    inference(resolution,[status(thm)],[f297,f190]) ).

fof(f306,plain,
    ( spl0_0
    | spl0_1 ),
    inference(split_clause,[status(thm)],[f305,f299,f302]) ).

fof(f313,plain,
    ( ~ less_or_equal(n1,n1)
    | ~ spl0_1 ),
    inference(backward_demodulation,[status(thm)],[f303,f292]) ).

fof(f314,plain,
    ( $false
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f313,f272]) ).

fof(f315,plain,
    ~ spl0_1,
    inference(contradiction_clause,[status(thm)],[f314]) ).

fof(f350,plain,
    ( spl0_6
  <=> pd0_2(n0,pull) ),
    introduced(split_symbol_definition) ).

fof(f351,plain,
    ( pd0_2(n0,pull)
    | ~ spl0_6 ),
    inference(component_clause,[status(thm)],[f350]) ).

fof(f352,plain,
    ( ~ pd0_2(n0,pull)
    | spl0_6 ),
    inference(component_clause,[status(thm)],[f350]) ).

fof(f355,plain,
    ( spl0_7
  <=> happens(pull,n0) ),
    introduced(split_symbol_definition) ).

fof(f357,plain,
    ( ~ happens(pull,n0)
    | spl0_7 ),
    inference(component_clause,[status(thm)],[f355]) ).

fof(f358,plain,
    ( spl0_8
  <=> n0 = n2 ),
    introduced(split_symbol_definition) ).

fof(f359,plain,
    ( n0 = n2
    | ~ spl0_8 ),
    inference(component_clause,[status(thm)],[f358]) ).

fof(f361,plain,
    ( ~ happens(pull,n0)
    | n0 = n2
    | spl0_6 ),
    inference(resolution,[status(thm)],[f352,f125]) ).

fof(f362,plain,
    ( ~ spl0_7
    | spl0_8
    | spl0_6 ),
    inference(split_clause,[status(thm)],[f361,f355,f358,f350]) ).

fof(f366,plain,
    ( pd0_1(n0,spinning,push)
    | spl0_7 ),
    inference(resolution,[status(thm)],[f357,f275]) ).

fof(f371,plain,
    ( terminates(push,spinning,n0)
    | spl0_7 ),
    inference(resolution,[status(thm)],[f366,f117]) ).

fof(f386,plain,
    ( spl0_10
  <=> n1 = n0 ),
    introduced(split_symbol_definition) ).

fof(f387,plain,
    ( n1 = n0
    | ~ spl0_10 ),
    inference(component_clause,[status(thm)],[f386]) ).

fof(f395,plain,
    ~ less_or_equal(n4,n3),
    inference(resolution,[status(thm)],[f165,f273]) ).

fof(f401,plain,
    ( spl0_12
  <=> n4 = n3 ),
    introduced(split_symbol_definition) ).

fof(f402,plain,
    ( n4 = n3
    | ~ spl0_12 ),
    inference(component_clause,[status(thm)],[f401]) ).

fof(f403,plain,
    ( n4 != n3
    | spl0_12 ),
    inference(component_clause,[status(thm)],[f401]) ).

fof(f412,plain,
    ( ~ less_or_equal(n3,n3)
    | ~ spl0_12 ),
    inference(backward_demodulation,[status(thm)],[f402,f395]) ).

fof(f413,plain,
    ( $false
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[status(thm)],[f412,f272]) ).

fof(f414,plain,
    ~ spl0_12,
    inference(contradiction_clause,[status(thm)],[f413]) ).

fof(f484,plain,
    ( spl0_20
  <=> pull = push ),
    introduced(split_symbol_definition) ).

fof(f485,plain,
    ( pull = push
    | ~ spl0_20 ),
    inference(component_clause,[status(thm)],[f484]) ).

fof(f497,plain,
    ( $false
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[status(thm)],[f485,f128]) ).

fof(f498,plain,
    ~ spl0_20,
    inference(contradiction_clause,[status(thm)],[f497]) ).

fof(f509,plain,
    ( plus(n0,n3) = n4
    | ~ spl0_10 ),
    inference(backward_demodulation,[status(thm)],[f387,f138]) ).

fof(f510,plain,
    ( n3 = n4
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f135,f509]) ).

fof(f511,plain,
    ( $false
    | spl0_12
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[status(thm)],[f510,f403]) ).

fof(f512,plain,
    ( spl0_12
    | ~ spl0_10 ),
    inference(contradiction_clause,[status(thm)],[f511]) ).

fof(f543,plain,
    ( spl0_25
  <=> happens(push,n0) ),
    introduced(split_symbol_definition) ).

fof(f545,plain,
    ( ~ happens(push,n0)
    | spl0_25 ),
    inference(component_clause,[status(thm)],[f543]) ).

fof(f550,plain,
    ( spl0_26
  <=> holdsAt(spinning,plus(n0,n1)) ),
    introduced(split_symbol_definition) ).

fof(f552,plain,
    ( ~ holdsAt(spinning,plus(n0,n1))
    | spl0_26 ),
    inference(component_clause,[status(thm)],[f550]) ).

fof(f594,plain,
    ( ~ pd0_2(n0,push)
    | spl0_25 ),
    inference(resolution,[status(thm)],[f545,f126]) ).

fof(f600,plain,
    ( ~ pd0_5(n0,push)
    | spl0_25 ),
    inference(resolution,[status(thm)],[f594,f220]) ).

fof(f601,plain,
    ( $false
    | spl0_25 ),
    inference(forward_subsumption_resolution,[status(thm)],[f600,f279]) ).

fof(f602,plain,
    spl0_25,
    inference(contradiction_clause,[status(thm)],[f601]) ).

fof(f634,plain,
    ( less(n1,n0)
    | ~ spl0_8
    | ~ spl0_0 ),
    inference(backward_demodulation,[status(thm)],[f359,f300]) ).

fof(f635,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f634,f149]) ).

fof(f636,plain,
    ( ~ spl0_8
    | ~ spl0_0 ),
    inference(contradiction_clause,[status(thm)],[f635]) ).

fof(f1983,plain,
    ( spl0_111
  <=> pd0_5(n0,pull) ),
    introduced(split_symbol_definition) ).

fof(f1984,plain,
    ( pd0_5(n0,pull)
    | ~ spl0_111 ),
    inference(component_clause,[status(thm)],[f1983]) ).

fof(f1986,plain,
    ( pd0_5(n0,pull)
    | n0 = n2
    | ~ spl0_6 ),
    inference(resolution,[status(thm)],[f219,f351]) ).

fof(f1987,plain,
    ( spl0_111
    | spl0_8
    | ~ spl0_6 ),
    inference(split_clause,[status(thm)],[f1986,f1983,f358,f350]) ).

fof(f2016,plain,
    ( pull = push
    | n0 = n1
    | ~ spl0_111 ),
    inference(resolution,[status(thm)],[f1984,f240]) ).

fof(f2017,plain,
    ( spl0_20
    | spl0_10
    | ~ spl0_111 ),
    inference(split_clause,[status(thm)],[f2016,f484,f386,f1983]) ).

fof(f2146,plain,
    ( ~ happens(push,n0)
    | ~ holdsAt(spinning,plus(n0,n1))
    | spl0_7 ),
    inference(resolution,[status(thm)],[f371,f93]) ).

fof(f2147,plain,
    ( ~ spl0_25
    | ~ spl0_26
    | spl0_7 ),
    inference(split_clause,[status(thm)],[f2146,f543,f550,f355]) ).

fof(f2148,plain,
    ( ~ holdsAt(spinning,n1)
    | spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f133,f552]) ).

fof(f2149,plain,
    ( $false
    | spl0_26 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2148,f195]) ).

fof(f2150,plain,
    spl0_26,
    inference(contradiction_clause,[status(thm)],[f2149]) ).

fof(f2151,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f306,f315,f362,f414,f498,f512,f602,f636,f1987,f2017,f2147,f2150]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.15  % Problem  : CSR017+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.12/0.16  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.38  % Computer : n006.cluster.edu
% 0.13/0.38  % Model    : x86_64 x86_64
% 0.13/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38  % Memory   : 8042.1875MB
% 0.13/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.38  % CPULimit : 300
% 0.13/0.38  % WCLimit  : 300
% 0.13/0.38  % DateTime : Mon Apr 29 23:38:50 EDT 2024
% 0.13/0.38  % CPUTime  : 
% 0.13/0.39  % Drodi V3.6.0
% 1.27/0.61  % Refutation found
% 1.27/0.61  % SZS status Theorem for theBenchmark: Theorem is valid
% 1.27/0.61  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.27/0.62  % Elapsed time: 0.229535 seconds
% 1.27/0.62  % CPU time: 1.696200 seconds
% 1.27/0.62  % Total memory used: 86.913 MB
% 1.27/0.62  % Net memory used: 84.864 MB
%------------------------------------------------------------------------------