TSTP Solution File: CSR019+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : CSR019+1 : TPTP v8.2.0. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n026.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 : Mon Jun 24 05:12:01 EDT 2024

% Result   : Theorem 4.15s 1.20s
% Output   : CNFRefutation 4.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   81 (  13 unt;   0 def)
%            Number of atoms       :  377 ( 155 equ)
%            Maximal formula atoms :   19 (   4 avg)
%            Number of connectives :  454 ( 158   ~; 165   |; 115   &)
%                                         (  14 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   8 con; 0-2 aty)
%            Number of variables   :  170 (   1 sgn 116   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f10,axiom,
    ! [X3,X4,X1] :
      ( ( terminates(X3,X1,X4)
        & happens(X3,X4) )
     => ~ holdsAt(X1,plus(X4,n1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',happens_terminates_not_holds) ).

fof(f14,axiom,
    ! [X3,X1,X4] :
      ( terminates(X3,X1,X4)
    <=> ( ( ~ happens(push,X4)
          & spinning = X1
          & pull = X3 )
        | ( ~ happens(pull,X4)
          & spinning = X1
          & push = X3 )
        | ( happens(push,X4)
          & backwards = X1
          & pull = X3 )
        | ( happens(push,X4)
          & forwards = X1
          & pull = X3 )
        | ( ~ happens(push,X4)
          & forwards = X1
          & pull = X3 )
        | ( ~ happens(pull,X4)
          & backwards = X1
          & push = X3 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',terminates_all_defn) ).

fof(f16,axiom,
    ! [X3,X4] :
      ( happens(X3,X4)
    <=> ( ( n2 = X4
          & push = X3 )
        | ( n2 = X4
          & pull = X3 )
        | ( n1 = X4
          & pull = X3 )
        | ( n0 = X4
          & push = X3 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',happens_all_defn) ).

fof(f25,axiom,
    n2 = plus(n1,n1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus1_1) ).

fof(f48,conjecture,
    ~ holdsAt(forwards,n2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_forwards_2) ).

fof(f49,negated_conjecture,
    ~ ~ holdsAt(forwards,n2),
    inference(negated_conjecture,[],[f48]) ).

fof(f58,plain,
    ! [X0,X1,X2] :
      ( ( terminates(X0,X2,X1)
        & happens(X0,X1) )
     => ~ holdsAt(X2,plus(X1,n1)) ),
    inference(rectify,[],[f10]) ).

fof(f62,plain,
    ! [X0,X1,X2] :
      ( terminates(X0,X1,X2)
    <=> ( ( ~ happens(push,X2)
          & spinning = X1
          & pull = X0 )
        | ( ~ happens(pull,X2)
          & spinning = X1
          & push = X0 )
        | ( happens(push,X2)
          & backwards = X1
          & pull = X0 )
        | ( happens(push,X2)
          & forwards = X1
          & pull = X0 )
        | ( ~ happens(push,X2)
          & forwards = X1
          & pull = X0 )
        | ( ~ happens(pull,X2)
          & backwards = X1
          & push = X0 ) ) ),
    inference(rectify,[],[f14]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( happens(X0,X1)
    <=> ( ( n2 = X1
          & push = X0 )
        | ( n2 = X1
          & pull = X0 )
        | ( n1 = X1
          & pull = X0 )
        | ( n0 = X1
          & push = X0 ) ) ),
    inference(rectify,[],[f16]) ).

fof(f79,plain,
    holdsAt(forwards,n2),
    inference(flattening,[],[f49]) ).

fof(f96,plain,
    ! [X0,X1,X2] :
      ( ~ holdsAt(X2,plus(X1,n1))
      | ~ terminates(X0,X2,X1)
      | ~ happens(X0,X1) ),
    inference(ennf_transformation,[],[f58]) ).

fof(f97,plain,
    ! [X0,X1,X2] :
      ( ~ holdsAt(X2,plus(X1,n1))
      | ~ terminates(X0,X2,X1)
      | ~ happens(X0,X1) ),
    inference(flattening,[],[f96]) ).

fof(f106,plain,
    ! [X2,X1,X0] :
      ( sP2(X2,X1,X0)
    <=> ( ~ happens(pull,X2)
        & backwards = X1
        & push = X0 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f107,plain,
    ! [X2,X1,X0] :
      ( sP3(X2,X1,X0)
    <=> ( ~ happens(push,X2)
        & forwards = X1
        & pull = X0 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

fof(f108,plain,
    ! [X2,X1,X0] :
      ( sP4(X2,X1,X0)
    <=> ( happens(push,X2)
        & forwards = X1
        & pull = X0 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).

fof(f109,plain,
    ! [X2,X1,X0] :
      ( sP5(X2,X1,X0)
    <=> ( happens(push,X2)
        & backwards = X1
        & pull = X0 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).

fof(f110,plain,
    ! [X2,X1,X0] :
      ( sP6(X2,X1,X0)
    <=> ( ~ happens(pull,X2)
        & spinning = X1
        & push = X0 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).

fof(f111,plain,
    ! [X2,X1,X0] :
      ( sP7(X2,X1,X0)
    <=> ( ( ~ happens(push,X2)
          & spinning = X1
          & pull = X0 )
        | sP6(X2,X1,X0)
        | sP5(X2,X1,X0)
        | sP4(X2,X1,X0)
        | sP3(X2,X1,X0)
        | sP2(X2,X1,X0) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).

fof(f112,plain,
    ! [X0,X1,X2] :
      ( terminates(X0,X1,X2)
    <=> sP7(X2,X1,X0) ),
    inference(definition_folding,[],[f62,f111,f110,f109,f108,f107,f106]) ).

fof(f113,plain,
    ! [X1,X0] :
      ( sP8(X1,X0)
    <=> ( n0 = X1
        & push = X0 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).

fof(f114,plain,
    ! [X1,X0] :
      ( sP9(X1,X0)
    <=> ( ( n2 = X1
          & push = X0 )
        | ( n2 = X1
          & pull = X0 )
        | ( n1 = X1
          & pull = X0 )
        | sP8(X1,X0) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).

fof(f115,plain,
    ! [X0,X1] :
      ( happens(X0,X1)
    <=> sP9(X1,X0) ),
    inference(definition_folding,[],[f64,f114,f113]) ).

fof(f132,plain,
    ! [X2,X1,X0] :
      ( ( sP7(X2,X1,X0)
        | ( ( happens(push,X2)
            | spinning != X1
            | pull != X0 )
          & ~ sP6(X2,X1,X0)
          & ~ sP5(X2,X1,X0)
          & ~ sP4(X2,X1,X0)
          & ~ sP3(X2,X1,X0)
          & ~ sP2(X2,X1,X0) ) )
      & ( ( ~ happens(push,X2)
          & spinning = X1
          & pull = X0 )
        | sP6(X2,X1,X0)
        | sP5(X2,X1,X0)
        | sP4(X2,X1,X0)
        | sP3(X2,X1,X0)
        | sP2(X2,X1,X0)
        | ~ sP7(X2,X1,X0) ) ),
    inference(nnf_transformation,[],[f111]) ).

fof(f133,plain,
    ! [X2,X1,X0] :
      ( ( sP7(X2,X1,X0)
        | ( ( happens(push,X2)
            | spinning != X1
            | pull != X0 )
          & ~ sP6(X2,X1,X0)
          & ~ sP5(X2,X1,X0)
          & ~ sP4(X2,X1,X0)
          & ~ sP3(X2,X1,X0)
          & ~ sP2(X2,X1,X0) ) )
      & ( ( ~ happens(push,X2)
          & spinning = X1
          & pull = X0 )
        | sP6(X2,X1,X0)
        | sP5(X2,X1,X0)
        | sP4(X2,X1,X0)
        | sP3(X2,X1,X0)
        | sP2(X2,X1,X0)
        | ~ sP7(X2,X1,X0) ) ),
    inference(flattening,[],[f132]) ).

fof(f134,plain,
    ! [X0,X1,X2] :
      ( ( sP7(X0,X1,X2)
        | ( ( happens(push,X0)
            | spinning != X1
            | pull != X2 )
          & ~ sP6(X0,X1,X2)
          & ~ sP5(X0,X1,X2)
          & ~ sP4(X0,X1,X2)
          & ~ sP3(X0,X1,X2)
          & ~ sP2(X0,X1,X2) ) )
      & ( ( ~ happens(push,X0)
          & spinning = X1
          & pull = X2 )
        | sP6(X0,X1,X2)
        | sP5(X0,X1,X2)
        | sP4(X0,X1,X2)
        | sP3(X0,X1,X2)
        | sP2(X0,X1,X2)
        | ~ sP7(X0,X1,X2) ) ),
    inference(rectify,[],[f133]) ).

fof(f141,plain,
    ! [X2,X1,X0] :
      ( ( sP4(X2,X1,X0)
        | ~ happens(push,X2)
        | forwards != X1
        | pull != X0 )
      & ( ( happens(push,X2)
          & forwards = X1
          & pull = X0 )
        | ~ sP4(X2,X1,X0) ) ),
    inference(nnf_transformation,[],[f108]) ).

fof(f142,plain,
    ! [X2,X1,X0] :
      ( ( sP4(X2,X1,X0)
        | ~ happens(push,X2)
        | forwards != X1
        | pull != X0 )
      & ( ( happens(push,X2)
          & forwards = X1
          & pull = X0 )
        | ~ sP4(X2,X1,X0) ) ),
    inference(flattening,[],[f141]) ).

fof(f143,plain,
    ! [X0,X1,X2] :
      ( ( sP4(X0,X1,X2)
        | ~ happens(push,X0)
        | forwards != X1
        | pull != X2 )
      & ( ( happens(push,X0)
          & forwards = X1
          & pull = X2 )
        | ~ sP4(X0,X1,X2) ) ),
    inference(rectify,[],[f142]) ).

fof(f144,plain,
    ! [X2,X1,X0] :
      ( ( sP3(X2,X1,X0)
        | happens(push,X2)
        | forwards != X1
        | pull != X0 )
      & ( ( ~ happens(push,X2)
          & forwards = X1
          & pull = X0 )
        | ~ sP3(X2,X1,X0) ) ),
    inference(nnf_transformation,[],[f107]) ).

fof(f145,plain,
    ! [X2,X1,X0] :
      ( ( sP3(X2,X1,X0)
        | happens(push,X2)
        | forwards != X1
        | pull != X0 )
      & ( ( ~ happens(push,X2)
          & forwards = X1
          & pull = X0 )
        | ~ sP3(X2,X1,X0) ) ),
    inference(flattening,[],[f144]) ).

fof(f146,plain,
    ! [X0,X1,X2] :
      ( ( sP3(X0,X1,X2)
        | happens(push,X0)
        | forwards != X1
        | pull != X2 )
      & ( ( ~ happens(push,X0)
          & forwards = X1
          & pull = X2 )
        | ~ sP3(X0,X1,X2) ) ),
    inference(rectify,[],[f145]) ).

fof(f150,plain,
    ! [X0,X1,X2] :
      ( ( terminates(X0,X1,X2)
        | ~ sP7(X2,X1,X0) )
      & ( sP7(X2,X1,X0)
        | ~ terminates(X0,X1,X2) ) ),
    inference(nnf_transformation,[],[f112]) ).

fof(f151,plain,
    ! [X1,X0] :
      ( ( sP9(X1,X0)
        | ( ( n2 != X1
            | push != X0 )
          & ( n2 != X1
            | pull != X0 )
          & ( n1 != X1
            | pull != X0 )
          & ~ sP8(X1,X0) ) )
      & ( ( n2 = X1
          & push = X0 )
        | ( n2 = X1
          & pull = X0 )
        | ( n1 = X1
          & pull = X0 )
        | sP8(X1,X0)
        | ~ sP9(X1,X0) ) ),
    inference(nnf_transformation,[],[f114]) ).

fof(f152,plain,
    ! [X1,X0] :
      ( ( sP9(X1,X0)
        | ( ( n2 != X1
            | push != X0 )
          & ( n2 != X1
            | pull != X0 )
          & ( n1 != X1
            | pull != X0 )
          & ~ sP8(X1,X0) ) )
      & ( ( n2 = X1
          & push = X0 )
        | ( n2 = X1
          & pull = X0 )
        | ( n1 = X1
          & pull = X0 )
        | sP8(X1,X0)
        | ~ sP9(X1,X0) ) ),
    inference(flattening,[],[f151]) ).

fof(f153,plain,
    ! [X0,X1] :
      ( ( sP9(X0,X1)
        | ( ( n2 != X0
            | push != X1 )
          & ( n2 != X0
            | pull != X1 )
          & ( n1 != X0
            | pull != X1 )
          & ~ sP8(X0,X1) ) )
      & ( ( n2 = X0
          & push = X1 )
        | ( n2 = X0
          & pull = X1 )
        | ( n1 = X0
          & pull = X1 )
        | sP8(X0,X1)
        | ~ sP9(X0,X1) ) ),
    inference(rectify,[],[f152]) ).

fof(f157,plain,
    ! [X0,X1] :
      ( ( happens(X0,X1)
        | ~ sP9(X1,X0) )
      & ( sP9(X1,X0)
        | ~ happens(X0,X1) ) ),
    inference(nnf_transformation,[],[f115]) ).

fof(f180,plain,
    ! [X2,X0,X1] :
      ( ~ holdsAt(X2,plus(X1,n1))
      | ~ terminates(X0,X2,X1)
      | ~ happens(X0,X1) ),
    inference(cnf_transformation,[],[f97]) ).

fof(f202,plain,
    ! [X2,X0,X1] :
      ( sP7(X0,X1,X2)
      | ~ sP3(X0,X1,X2) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f203,plain,
    ! [X2,X0,X1] :
      ( sP7(X0,X1,X2)
      | ~ sP4(X0,X1,X2) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f218,plain,
    ! [X2,X0,X1] :
      ( sP4(X0,X1,X2)
      | ~ happens(push,X0)
      | forwards != X1
      | pull != X2 ),
    inference(cnf_transformation,[],[f143]) ).

fof(f222,plain,
    ! [X2,X0,X1] :
      ( sP3(X0,X1,X2)
      | happens(push,X0)
      | forwards != X1
      | pull != X2 ),
    inference(cnf_transformation,[],[f146]) ).

fof(f228,plain,
    ! [X2,X0,X1] :
      ( terminates(X0,X1,X2)
      | ~ sP7(X2,X1,X0) ),
    inference(cnf_transformation,[],[f150]) ).

fof(f239,plain,
    ! [X0,X1] :
      ( sP9(X0,X1)
      | n1 != X0
      | pull != X1 ),
    inference(cnf_transformation,[],[f153]) ).

fof(f246,plain,
    ! [X0,X1] :
      ( happens(X0,X1)
      | ~ sP9(X1,X0) ),
    inference(cnf_transformation,[],[f157]) ).

fof(f255,plain,
    n2 = plus(n1,n1),
    inference(cnf_transformation,[],[f25]) ).

fof(f291,plain,
    holdsAt(forwards,n2),
    inference(cnf_transformation,[],[f79]) ).

fof(f304,plain,
    ! [X2,X0] :
      ( sP4(X0,forwards,X2)
      | ~ happens(push,X0)
      | pull != X2 ),
    inference(equality_resolution,[],[f218]) ).

fof(f305,plain,
    ! [X0] :
      ( sP4(X0,forwards,pull)
      | ~ happens(push,X0) ),
    inference(equality_resolution,[],[f304]) ).

fof(f306,plain,
    ! [X2,X0] :
      ( sP3(X0,forwards,X2)
      | happens(push,X0)
      | pull != X2 ),
    inference(equality_resolution,[],[f222]) ).

fof(f307,plain,
    ! [X0] :
      ( sP3(X0,forwards,pull)
      | happens(push,X0) ),
    inference(equality_resolution,[],[f306]) ).

fof(f314,plain,
    ! [X1] :
      ( sP9(n1,X1)
      | pull != X1 ),
    inference(equality_resolution,[],[f239]) ).

fof(f315,plain,
    sP9(n1,pull),
    inference(equality_resolution,[],[f314]) ).

cnf(c_58,plain,
    ( ~ holdsAt(X0,plus(X1,n1))
    | ~ terminates(X2,X0,X1)
    | ~ happens(X2,X1) ),
    inference(cnf_transformation,[],[f180]) ).

cnf(c_79,plain,
    ( ~ sP4(X0,X1,X2)
    | sP7(X0,X1,X2) ),
    inference(cnf_transformation,[],[f203]) ).

cnf(c_80,plain,
    ( ~ sP3(X0,X1,X2)
    | sP7(X0,X1,X2) ),
    inference(cnf_transformation,[],[f202]) ).

cnf(c_93,plain,
    ( ~ happens(push,X0)
    | sP4(X0,forwards,pull) ),
    inference(cnf_transformation,[],[f305]) ).

cnf(c_97,plain,
    ( sP3(X0,forwards,pull)
    | happens(push,X0) ),
    inference(cnf_transformation,[],[f307]) ).

cnf(c_105,plain,
    ( ~ sP7(X0,X1,X2)
    | terminates(X2,X1,X0) ),
    inference(cnf_transformation,[],[f228]) ).

cnf(c_110,plain,
    sP9(n1,pull),
    inference(cnf_transformation,[],[f315]) ).

cnf(c_123,plain,
    ( ~ sP9(X0,X1)
    | happens(X1,X0) ),
    inference(cnf_transformation,[],[f246]) ).

cnf(c_133,plain,
    plus(n1,n1) = n2,
    inference(cnf_transformation,[],[f255]) ).

cnf(c_169,negated_conjecture,
    holdsAt(forwards,n2),
    inference(cnf_transformation,[],[f291]) ).

cnf(c_340,plain,
    ( ~ happens(push,X0)
    | sP4(X0,forwards,pull) ),
    inference(prop_impl_just,[status(thm)],[c_93]) ).

cnf(c_350,plain,
    ( happens(push,X0)
    | sP3(X0,forwards,pull) ),
    inference(prop_impl_just,[status(thm)],[c_97]) ).

cnf(c_351,plain,
    ( sP3(X0,forwards,pull)
    | happens(push,X0) ),
    inference(renaming,[status(thm)],[c_350]) ).

cnf(c_380,plain,
    ( ~ sP7(X0,X1,X2)
    | terminates(X2,X1,X0) ),
    inference(prop_impl_just,[status(thm)],[c_105]) ).

cnf(c_404,plain,
    ( ~ sP4(X0,X1,X2)
    | sP7(X0,X1,X2) ),
    inference(prop_impl_just,[status(thm)],[c_79]) ).

cnf(c_412,plain,
    ( ~ sP3(X0,X1,X2)
    | sP7(X0,X1,X2) ),
    inference(prop_impl_just,[status(thm)],[c_80]) ).

cnf(c_436,plain,
    ( ~ sP9(X0,X1)
    | happens(X1,X0) ),
    inference(prop_impl_just,[status(thm)],[c_123]) ).

cnf(c_1537,plain,
    ( X0 != X1
    | X2 != X3
    | X4 != X5
    | ~ holdsAt(X0,plus(X2,n1))
    | ~ sP7(X3,X1,X5)
    | ~ happens(X4,X2) ),
    inference(resolution_lifted,[status(thm)],[c_58,c_380]) ).

cnf(c_1538,plain,
    ( ~ holdsAt(X0,plus(X1,n1))
    | ~ sP7(X1,X0,X2)
    | ~ happens(X2,X1) ),
    inference(unflattening,[status(thm)],[c_1537]) ).

cnf(c_1700,plain,
    ( X0 != X1
    | X2 != forwards
    | X3 != pull
    | sP7(X0,X2,X3)
    | happens(push,X1) ),
    inference(resolution_lifted,[status(thm)],[c_412,c_351]) ).

cnf(c_1701,plain,
    ( sP7(X0,forwards,pull)
    | happens(push,X0) ),
    inference(unflattening,[status(thm)],[c_1700]) ).

cnf(c_2535,plain,
    ( X0 != n1
    | X1 != pull
    | happens(X1,X0) ),
    inference(resolution_lifted,[status(thm)],[c_110,c_436]) ).

cnf(c_2536,plain,
    happens(pull,n1),
    inference(unflattening,[status(thm)],[c_2535]) ).

cnf(c_2943,plain,
    ( X0 != X1
    | X2 != forwards
    | X3 != pull
    | ~ happens(push,X1)
    | sP7(X0,X2,X3) ),
    inference(resolution_lifted,[status(thm)],[c_404,c_340]) ).

cnf(c_2944,plain,
    ( ~ happens(push,X0)
    | sP7(X0,forwards,pull) ),
    inference(unflattening,[status(thm)],[c_2943]) ).

cnf(c_2946,plain,
    sP7(X0,forwards,pull),
    inference(global_subsumption_just,[status(thm)],[c_2944,c_1701,c_2944]) ).

cnf(c_8655,plain,
    ( ~ sP7(n1,X0,X1)
    | ~ holdsAt(X0,n2)
    | ~ happens(X1,n1) ),
    inference(superposition,[status(thm)],[c_133,c_1538]) ).

cnf(c_8726,plain,
    ( ~ holdsAt(forwards,n2)
    | ~ happens(pull,n1) ),
    inference(superposition,[status(thm)],[c_2946,c_8655]) ).

cnf(c_8727,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_8726,c_2536,c_169]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : CSR019+1 : TPTP v8.2.0. Bugfixed v3.1.0.
% 0.07/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n026.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Wed Jun 19 21:58:24 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.21/0.47  Running first-order theorem proving
% 0.21/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.15/1.20  % SZS status Started for theBenchmark.p
% 4.15/1.20  % SZS status Theorem for theBenchmark.p
% 4.15/1.20  
% 4.15/1.20  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.15/1.20  
% 4.15/1.20  ------  iProver source info
% 4.15/1.20  
% 4.15/1.20  git: date: 2024-06-12 09:56:46 +0000
% 4.15/1.20  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 4.15/1.20  git: non_committed_changes: false
% 4.15/1.20  
% 4.15/1.20  ------ Parsing...
% 4.15/1.20  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 4.15/1.20  
% 4.15/1.20  ------ Preprocessing... sup_sim: 2  sf_s  rm: 3 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e  sup_sim: 0  sf_s  rm: 10 0s  sf_e  pe_s  pe_e 
% 4.15/1.20  
% 4.15/1.20  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.15/1.20  
% 4.15/1.20  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 4.15/1.20  ------ Proving...
% 4.15/1.20  ------ Problem Properties 
% 4.15/1.20  
% 4.15/1.20  
% 4.15/1.20  clauses                                 82
% 4.15/1.20  conjectures                             1
% 4.15/1.20  EPR                                     65
% 4.15/1.20  Horn                                    56
% 4.15/1.20  unary                                   27
% 4.15/1.20  binary                                  31
% 4.15/1.20  lits                                    177
% 4.15/1.20  lits eq                                 54
% 4.15/1.20  fd_pure                                 0
% 4.15/1.20  fd_pseudo                               0
% 4.15/1.20  fd_cond                                 18
% 4.15/1.20  fd_pseudo_cond                          2
% 4.15/1.20  AC symbols                              0
% 4.15/1.20  
% 4.15/1.20  ------ Input Options Time Limit: Unbounded
% 4.15/1.20  
% 4.15/1.20  
% 4.15/1.20  ------ 
% 4.15/1.20  Current options:
% 4.15/1.20  ------ 
% 4.15/1.20  
% 4.15/1.20  
% 4.15/1.20  
% 4.15/1.20  
% 4.15/1.20  ------ Proving...
% 4.15/1.20  
% 4.15/1.20  
% 4.15/1.20  % SZS status Theorem for theBenchmark.p
% 4.15/1.20  
% 4.15/1.20  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.15/1.20  
% 4.15/1.21  
%------------------------------------------------------------------------------