↑ Up

Prover9---2026-6A.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Prover9---2026-6A
% Problem  : GRA008+2 : TPTP v9.3.1. Bugfixed v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n007.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 : Sun Sep 27 07:19:22 AM UTC 2026

% Result   : Theorem 0.80s 0.53s
% Output   : CNFRefutation 0.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   85 (  22 unt;   0 def)
%            Number of atoms       :  261 (  66 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  305 ( 129   ~; 119   |;  40   &)
%                                         (   4 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   2 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-5 aty)
%            Number of variables   :  159 (  18 sgn  67   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(no_loops,axiom,
    ! [E] :
      ( edge(E)
     => head_of(E) != tail_of(E) ),
    file('theBenchmark.p',no_loops) ).

fof(sequential_defn,axiom,
    ! [E1,E2] :
      ( sequential(E1,E2)
    <=> ( head_of(E1) = tail_of(E2)
        & E1 != E2
        & edge(E2)
        & edge(E1) ) ),
    file('theBenchmark.p',sequential_defn) ).

fof(precedes_defn,axiom,
    ! [P,V1,V2] :
      ( path(V1,V2,P)
     => ! [E1,E2] :
          ( ( ( ? [E3] :
                  ( precedes(E3,E2,P)
                  & sequential(E1,E3) )
              | sequential(E1,E2) )
            & on_path(E2,P)
            & on_path(E1,P) )
         => precedes(E1,E2,P) ) ),
    file('theBenchmark.p',precedes_defn) ).

fof(precedes_properties,axiom,
    ! [P,V1,V2] :
      ( path(V1,V2,P)
     => ! [E1,E2] :
          ( precedes(E1,E2,P)
         => ( ~ ( sequential(E1,E2)
              <=> ? [E3] :
                    ( precedes(E3,E2,P)
                    & sequential(E1,E3) ) )
            & on_path(E2,P)
            & on_path(E1,P) ) ) ),
    file('theBenchmark.p',precedes_properties) ).

fof(shortest_path_defn,axiom,
    ! [V1,V2,SP] :
      ( shortest_path(V1,V2,SP)
    <=> ( ! [P] :
            ( path(V1,V2,P)
           => less_or_equal(length_of(SP),length_of(P)) )
        & V1 != V2
        & path(V1,V2,SP) ) ),
    file('theBenchmark.p',shortest_path_defn) ).

fof(shortest_path_properties,axiom,
    ! [V1,V2,E1,E2,P] :
      ( ( precedes(E1,E2,P)
        & shortest_path(V1,V2,P) )
     => ( ~ precedes(E2,E1,P)
        & ~ ? [E3] :
              ( head_of(E3) = head_of(E2)
              & tail_of(E3) = tail_of(E1) ) ) ),
    file('theBenchmark.p',shortest_path_properties) ).

fof(triangle_defn,axiom,
    ! [E1,E2,E3] :
      ( triangle(E1,E2,E3)
    <=> ( sequential(E3,E1)
        & sequential(E2,E3)
        & sequential(E1,E2)
        & edge(E3)
        & edge(E2)
        & edge(E1) ) ),
    file('theBenchmark.p',triangle_defn) ).

fof(back_edge,axiom,
    ( complete
   => ! [V1,V2,E1,E2,P] :
        ( ( precedes(E1,E2,P)
          & shortest_path(V1,V2,P) )
       => ? [E3] :
            ( head_of(E3) = tail_of(E1)
            & tail_of(E3) = head_of(E2)
            & edge(E3) ) ) ),
    file('theBenchmark.p',back_edge) ).

fof(sequential_is_triangle,conjecture,
    ( complete
   => ! [V1,V2,E1,E2,P] :
        ( ( sequential(E1,E2)
          & precedes(E1,E2,P)
          & shortest_path(V1,V2,P) )
       => ? [E3] : triangle(E1,E2,E3) ) ),
    file('theBenchmark.p',sequential_is_triangle) ).

fof(sequential_is_triangle_neg,negated_conjecture,
    ~ ( complete
     => ! [V1,V2,E1,E2,P] :
          ( ( sequential(E1,E2)
            & precedes(E1,E2,P)
            & shortest_path(V1,V2,P) )
         => ? [E3] : triangle(E1,E2,E3) ) ),
    inference(assume_negation,[status(cth)],[sequential_is_triangle]) ).

fof(nnf_18,plain,
    ( ! [V1,V2,E1,E2,P] :
        ( ? [E3] :
            ( tail_of(E1) = head_of(E3)
            & tail_of(E3) = head_of(E2)
            & edge(E3) )
        | ~ precedes(E1,E2,P)
        | ~ shortest_path(V1,V2,P) )
    | ~ complete ),
    inference(fof_nnf,[status(thm)],[back_edge]) ).

fof(sk_back_edge_sk,plain,
    ( ! [V1,V2,E1,E2,P] :
        ( ( tail_of(E1) = head_of(sK0(V1,V2,E1,E2,P))
          & tail_of(sK0(V1,V2,E1,E2,P)) = head_of(E2)
          & edge(sK0(V1,V2,E1,E2,P)) )
        | ~ precedes(E1,E2,P)
        | ~ shortest_path(V1,V2,P) )
    | ~ complete ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(E3,sK0(V1,V2,E1,E2,P))],[nnf_18]) ).

fof(sk_back_edge,plain,
    ( ! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4] :
        ( tail_of(VAR_3) = head_of(sK0(VAR_0,VAR_1,VAR_3,VAR_4,VAR_2))
        | ~ precedes(VAR_3,VAR_4,VAR_2)
        | ~ shortest_path(VAR_0,VAR_1,VAR_2)
        | ~ complete )
    & ! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4] :
        ( tail_of(sK0(VAR_0,VAR_1,VAR_3,VAR_4,VAR_2)) = head_of(VAR_4)
        | ~ precedes(VAR_3,VAR_4,VAR_2)
        | ~ shortest_path(VAR_0,VAR_1,VAR_2)
        | ~ complete )
    & ! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4] :
        ( edge(sK0(VAR_0,VAR_1,VAR_3,VAR_4,VAR_2))
        | ~ precedes(VAR_3,VAR_4,VAR_2)
        | ~ shortest_path(VAR_0,VAR_1,VAR_2)
        | ~ complete ) ),
    inference(cnf_transformation,[status(thm)],[sk_back_edge_sk]) ).

cnf(c_25,plain,
    ( tail_of(D) = head_of(sK0(A,B,D,E,C))
    | ~ precedes(D,E,C)
    | ~ shortest_path(A,B,C)
    | ~ complete ),
    inference(split_conjunct,[status(thm)],[sk_back_edge]) ).

fof(nnf_19,plain,
    ( ? [V1,V2,E1,E2,P] :
        ( ! [E3] : ~ triangle(E1,E2,E3)
        & sequential(E1,E2)
        & precedes(E1,E2,P)
        & shortest_path(V1,V2,P) )
    & complete ),
    inference(fof_nnf,[status(thm)],[sequential_is_triangle_neg]) ).

fof(sk_sequential_is_triangle_neg,plain,
    ( ! [E3] : ~ triangle(sK4,sK5,E3)
    & sequential(sK4,sK5)
    & precedes(sK4,sK5,sK3)
    & shortest_path(sK1,sK2,sK3)
    & complete ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5]),skolemize(V1,sK1),skolemize(V2,sK2),skolemize(E1,sK4),skolemize(E2,sK5),skolemize(P,sK3)],[nnf_19]) ).

cnf(c_26,negated_conjecture,
    shortest_path(sK1,sK2,sK3),
    inference(split_conjunct,[status(thm)],[sk_sequential_is_triangle_neg]) ).

cnf(c_27,plain,
    ( tail_of(sK0(A,B,D,E,C)) = head_of(E)
    | ~ precedes(D,E,C)
    | ~ shortest_path(A,B,C)
    | ~ complete ),
    inference(split_conjunct,[status(thm)],[sk_back_edge]) ).

cnf(c_28,plain,
    ( edge(sK0(A,B,D,E,C))
    | ~ precedes(D,E,C)
    | ~ shortest_path(A,B,C)
    | ~ complete ),
    inference(split_conjunct,[status(thm)],[sk_back_edge]) ).

cnf(c_29,plain,
    ( ~ precedes(E,D,C)
    | ~ precedes(D,E,C)
    | ~ shortest_path(A,B,C) ),
    inference(clausify,[status(thm)],[shortest_path_properties]) ).

cnf(c_35,plain,
    ( path(A,B,C)
    | ~ shortest_path(A,B,C) ),
    inference(clausify,[status(thm)],[shortest_path_defn]) ).

cnf(c_36,negated_conjecture,
    path(sK1,sK2,sK3),
    inference(resolve,[status(thm)],[c_35,c_26]) ).

cnf(c_54,negated_conjecture,
    ( ~ precedes(B,A,sK3)
    | ~ precedes(A,B,sK3) ),
    inference(resolve,[status(thm)],[c_29,c_26]) ).

cnf(c_55,negated_conjecture,
    ( edge(sK0(sK1,sK2,A,B,sK3))
    | ~ precedes(A,B,sK3)
    | ~ complete ),
    inference(resolve,[status(thm)],[c_28,c_26]) ).

cnf(c_56,negated_conjecture,
    ( tail_of(sK0(sK1,sK2,A,B,sK3)) = head_of(B)
    | ~ precedes(A,B,sK3)
    | ~ complete ),
    inference(resolve,[status(thm)],[c_27,c_26]) ).

cnf(c_57,negated_conjecture,
    ( tail_of(A) = head_of(sK0(sK1,sK2,A,B,sK3))
    | ~ precedes(A,B,sK3)
    | ~ complete ),
    inference(resolve,[status(thm)],[c_25,c_26]) ).

cnf(c_58,negated_conjecture,
    ( head_of(sK0(sK1,sK2,A,B,sK3)) = tail_of(A)
    | ~ precedes(A,B,sK3)
    | ~ complete ),
    inference(copy,[status(thm)],[c_57]) ).

cnf(c_59,plain,
    ( tail_of(A) != head_of(A)
    | ~ edge(A) ),
    inference(clausify,[status(thm)],[no_loops]) ).

cnf(c_80,plain,
    ( edge(A)
    | ~ sequential(A,B) ),
    inference(clausify,[status(thm)],[sequential_defn]) ).

cnf(c_81,plain,
    ( edge(B)
    | ~ sequential(A,B) ),
    inference(clausify,[status(thm)],[sequential_defn]) ).

cnf(c_82,plain,
    ( B != A
    | ~ sequential(A,B) ),
    inference(clausify,[status(thm)],[sequential_defn]) ).

cnf(c_84,plain,
    ( tail_of(B) != head_of(A)
    | B = A
    | ~ edge(B)
    | ~ edge(A)
    | sequential(A,B) ),
    inference(clausify,[status(thm)],[sequential_defn]) ).

cnf(c_86,plain,
    ( ~ precedes(F,E,C)
    | ~ sequential(D,F)
    | ~ on_path(E,C)
    | ~ on_path(D,C)
    | precedes(D,E,C)
    | ~ path(A,B,C) ),
    inference(clausify,[status(thm)],[precedes_defn]) ).

cnf(c_88,plain,
    ( on_path(E,C)
    | ~ precedes(D,E,C)
    | ~ path(A,B,C) ),
    inference(clausify,[status(thm)],[precedes_properties]) ).

cnf(c_98,plain,
    ( ~ sequential(C,A)
    | ~ sequential(B,C)
    | ~ sequential(A,B)
    | ~ edge(C)
    | ~ edge(B)
    | ~ edge(A)
    | triangle(A,B,C) ),
    inference(clausify,[status(thm)],[triangle_defn]) ).

cnf(c_107,negated_conjecture,
    complete,
    inference(split_conjunct,[status(thm)],[sk_sequential_is_triangle_neg]) ).

cnf(c_108,negated_conjecture,
    precedes(sK4,sK5,sK3),
    inference(split_conjunct,[status(thm)],[sk_sequential_is_triangle_neg]) ).

cnf(c_109,negated_conjecture,
    sequential(sK4,sK5),
    inference(split_conjunct,[status(thm)],[sk_sequential_is_triangle_neg]) ).

cnf(c_110,negated_conjecture,
    ~ triangle(sK4,sK5,A),
    inference(split_conjunct,[status(thm)],[sk_sequential_is_triangle_neg]) ).

cnf(c_121,plain,
    ~ precedes(A,A,sK3),
    inference(factor,[status(thm)],[c_54]) ).

cnf(c_139,negated_conjecture,
    ( head_of(sK0(sK1,sK2,A,B,sK3)) = tail_of(A)
    | ~ precedes(A,B,sK3) ),
    inference(resolve,[status(thm)],[c_107,c_58]) ).

cnf(c_140,negated_conjecture,
    ( tail_of(sK0(sK1,sK2,A,B,sK3)) = head_of(B)
    | ~ precedes(A,B,sK3) ),
    inference(resolve,[status(thm)],[c_107,c_56]) ).

cnf(c_141,negated_conjecture,
    ( edge(sK0(sK1,sK2,A,B,sK3))
    | ~ precedes(A,B,sK3) ),
    inference(resolve,[status(thm)],[c_107,c_55]) ).

cnf(c_176,plain,
    ( on_path(sK5,sK3)
    | ~ path(A,B,sK3) ),
    inference(resolve,[status(thm)],[c_108,c_88]) ).

cnf(c_178,plain,
    ( ~ sequential(C,sK4)
    | ~ on_path(sK5,sK3)
    | ~ on_path(C,sK3)
    | precedes(C,sK5,sK3)
    | ~ path(A,B,sK3) ),
    inference(resolve,[status(thm)],[c_108,c_86]) ).

cnf(c_1294,plain,
    ( ~ sequential(sK5,sK4)
    | ~ on_path(sK5,sK3)
    | precedes(sK5,sK5,sK3)
    | ~ path(A,B,sK3) ),
    inference(factor,[status(thm)],[c_178]) ).

cnf(c_183,plain,
    ( ~ sequential(sK5,sK4)
    | ~ on_path(sK5,sK3)
    | ~ path(A,B,sK3) ),
    inference(resolve,[status(thm)],[c_121,c_1294]) ).

cnf(c_1295,negated_conjecture,
    ( ~ sequential(A,sK4)
    | ~ sequential(sK5,A)
    | ~ edge(A)
    | ~ edge(sK5)
    | ~ edge(sK4)
    | triangle(sK4,sK5,A) ),
    inference(resolve,[status(thm)],[c_109,c_98]) ).

cnf(c_186,negated_conjecture,
    ( ~ sequential(A,sK4)
    | ~ sequential(sK5,A)
    | ~ edge(A)
    | ~ edge(sK5)
    | ~ edge(sK4) ),
    inference(resolve,[status(thm)],[c_110,c_1295]) ).

cnf(c_188,plain,
    sK5 != sK4,
    inference(resolve,[status(thm)],[c_109,c_82]) ).

cnf(c_189,plain,
    edge(sK5),
    inference(resolve,[status(thm)],[c_109,c_81]) ).

cnf(c_190,plain,
    edge(sK4),
    inference(resolve,[status(thm)],[c_109,c_80]) ).

cnf(c_1296,negated_conjecture,
    ( ~ sequential(A,sK4)
    | ~ sequential(sK5,A)
    | ~ edge(A)
    | ~ edge(sK5) ),
    inference(resolve,[status(thm)],[c_190,c_186]) ).

cnf(c_191,negated_conjecture,
    ( ~ sequential(A,sK4)
    | ~ sequential(sK5,A)
    | ~ edge(A) ),
    inference(resolve,[status(thm)],[c_189,c_1296]) ).

cnf(c_192,plain,
    head_of(sK0(sK1,sK2,sK4,sK5,sK3)) = tail_of(sK4),
    inference(resolve,[status(thm)],[c_139,c_108]) ).

cnf(c_193,plain,
    tail_of(sK0(sK1,sK2,sK4,sK5,sK3)) = head_of(sK5),
    inference(resolve,[status(thm)],[c_140,c_108]) ).

cnf(c_194,plain,
    edge(sK0(sK1,sK2,sK4,sK5,sK3)),
    inference(resolve,[status(thm)],[c_141,c_108]) ).

cnf(c_1297,plain,
    ( tail_of(A) != head_of(sK5)
    | A = sK5
    | ~ edge(A)
    | sequential(sK5,A) ),
    inference(resolve,[status(thm)],[c_189,c_84]) ).

cnf(c_236,plain,
    ( tail_of(A) != head_of(sK5)
    | sK5 = A
    | ~ edge(A)
    | sequential(sK5,A) ),
    inference(copy,[status(thm)],[c_1297]) ).

cnf(c_242,plain,
    ( tail_of(sK4) != head_of(A)
    | sK4 = A
    | ~ edge(A)
    | sequential(A,sK4) ),
    inference(resolve,[status(thm)],[c_190,c_84]) ).

cnf(c_247,plain,
    tail_of(sK4) != head_of(sK4),
    inference(resolve,[status(thm)],[c_190,c_59]) ).

cnf(c_255,plain,
    ( ~ sequential(sK5,sK4)
    | ~ on_path(sK5,sK3) ),
    inference(resolve,[status(thm)],[c_183,c_36]) ).

cnf(c_256,plain,
    on_path(sK5,sK3),
    inference(resolve,[status(thm)],[c_176,c_36]) ).

cnf(c_257,plain,
    ~ sequential(sK5,sK4),
    inference(resolve,[status(thm)],[c_256,c_255]) ).

cnf(c_1298,plain,
    ( tail_of(sK4) != head_of(sK5)
    | sK4 = sK5
    | ~ edge(sK4)
    | ~ edge(sK5) ),
    inference(resolve,[status(thm)],[c_84,c_257]) ).

cnf(c_1299,plain,
    ( tail_of(sK4) != head_of(sK5)
    | sK4 = sK5
    | ~ edge(sK4) ),
    inference(resolve,[status(thm)],[c_1298,c_189]) ).

cnf(c_1300,plain,
    ( tail_of(sK4) != head_of(sK5)
    | sK4 = sK5 ),
    inference(resolve,[status(thm)],[c_1299,c_190]) ).

cnf(c_1301,plain,
    sK4 != sK5,
    inference(copy,[status(thm)],[c_188]) ).

cnf(c_263,plain,
    tail_of(sK4) != head_of(sK5),
    inference(resolve,[status(thm)],[c_1300,c_1301]) ).

cnf(c_1302,plain,
    ( tail_of(sK0(sK1,sK2,sK4,sK5,sK3)) != head_of(sK5)
    | sK5 = sK0(sK1,sK2,sK4,sK5,sK3)
    | sequential(sK5,sK0(sK1,sK2,sK4,sK5,sK3)) ),
    inference(resolve,[status(thm)],[c_236,c_194]) ).

cnf(c_1303,plain,
    ( tail_of(sK0(sK1,sK2,sK4,sK5,sK3)) != head_of(sK5)
    | sK0(sK1,sK2,sK4,sK5,sK3) = sK5
    | sequential(sK5,sK0(sK1,sK2,sK4,sK5,sK3)) ),
    inference(copy,[status(thm)],[c_1302]) ).

cnf(c_571,plain,
    ( sK0(sK1,sK2,sK4,sK5,sK3) = sK5
    | sequential(sK5,sK0(sK1,sK2,sK4,sK5,sK3)) ),
    inference(resolve,[status(thm)],[c_193,c_1303]) ).

cnf(c_1304,plain,
    ( tail_of(sK4) != head_of(sK0(sK1,sK2,sK4,sK5,sK3))
    | sK4 = sK0(sK1,sK2,sK4,sK5,sK3)
    | sequential(sK0(sK1,sK2,sK4,sK5,sK3),sK4) ),
    inference(resolve,[status(thm)],[c_242,c_194]) ).

cnf(c_1305,plain,
    ( tail_of(sK4) != head_of(sK0(sK1,sK2,sK4,sK5,sK3))
    | sK0(sK1,sK2,sK4,sK5,sK3) = sK4
    | sequential(sK0(sK1,sK2,sK4,sK5,sK3),sK4) ),
    inference(copy,[status(thm)],[c_1304]) ).

cnf(c_1306,plain,
    ( head_of(sK0(sK1,sK2,sK4,sK5,sK3)) != tail_of(sK4)
    | sK0(sK1,sK2,sK4,sK5,sK3) = sK4
    | sequential(sK0(sK1,sK2,sK4,sK5,sK3),sK4) ),
    inference(copy,[status(thm)],[c_1305]) ).

cnf(c_577,plain,
    ( sK0(sK1,sK2,sK4,sK5,sK3) = sK4
    | sequential(sK0(sK1,sK2,sK4,sK5,sK3),sK4) ),
    inference(resolve,[status(thm)],[c_192,c_1306]) ).

cnf(c_1307,plain,
    ( ~ sequential(sK0(sK1,sK2,sK4,sK5,sK3),sK4)
    | ~ edge(sK0(sK1,sK2,sK4,sK5,sK3))
    | sK0(sK1,sK2,sK4,sK5,sK3) = sK5 ),
    inference(resolve,[status(thm)],[c_571,c_191]) ).

cnf(c_1250,plain,
    ( ~ sequential(sK0(sK1,sK2,sK4,sK5,sK3),sK4)
    | sK0(sK1,sK2,sK4,sK5,sK3) = sK5 ),
    inference(resolve,[status(thm)],[c_194,c_1307]) ).

cnf(c_1261,plain,
    ( sK0(sK1,sK2,sK4,sK5,sK3) = sK4
    | sK0(sK1,sK2,sK4,sK5,sK3) = sK5 ),
    inference(resolve,[status(thm)],[c_1250,c_577]) ).

cnf(c_1308,plain,
    ( head_of(sK5) = tail_of(sK4)
    | sK0(sK1,sK2,sK4,sK5,sK3) = sK4 ),
    inference(paramod,[status(thm)],[c_1261,c_192]) ).

cnf(c_1309,plain,
    ( tail_of(sK4) = head_of(sK5)
    | sK0(sK1,sK2,sK4,sK5,sK3) = sK4 ),
    inference(copy,[status(thm)],[c_1308]) ).

cnf(c_1262,plain,
    sK0(sK1,sK2,sK4,sK5,sK3) = sK4,
    inference(resolve,[status(thm)],[c_263,c_1309]) ).

cnf(c_1310,plain,
    head_of(sK4) = tail_of(sK4),
    inference(paramod,[status(thm)],[c_1262,c_192]) ).

cnf(c_1311,plain,
    tail_of(sK4) = head_of(sK4),
    inference(copy,[status(thm)],[c_1310]) ).

cnf(c_1293,plain,
    $false,
    inference(resolve,[status(thm)],[c_247,c_1311]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GRA008+2 : TPTP v9.3.1. Bugfixed v3.2.0.
% 0.00/0.04  % Command  : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35  % Computer : n007.cluster.edu
% 0.10/0.35  % Model    : x86_64 x86_64
% 0.10/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35  % Memory   : 8046.5625MB
% 0.10/0.35  % OS       : Linux 6.8.0-71-generic
% 0.10/0.35  % CPULimit : 300
% 0.10/0.35  % WCLimit  : 300
% 0.10/0.35  % DateTime : Fri Sep 25 13:45:38 UTC 2026
% 0.10/0.35  % CPUTime  : 
% 0.10/0.35  % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.35  % Process 1138120 was started by sandbox2 on n007,
% 0.10/0.35  % Fri Sep 25 13:45:38 2026
% 0.10/0.35  % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.14/0.36  
% 0.14/0.36  % From the command line: assign(max_seconds, 300).
% 0.80/0.53  
% 0.80/0.53  % SZS status Theorem for theBenchmark
% 0.80/0.53  
% 0.80/0.53  % Proof 1 at 0.14 (+ 0.01) seconds.
% 0.80/0.53  % Length of proof is 61.
% 0.80/0.53  % Level of proof is 9.
% 0.80/0.53  % Maximum clause weight is 30.000.
% 0.80/0.53  % Given clauses 310.
% 0.80/0.53  
% 0.80/0.53  % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------