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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SET795+4 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n018.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 02:48:36 PM UTC 2026

% Result   : Theorem 3.74s 1.28s
% Output   : CNFRefutation 3.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   67 (  15 unt;   0 def)
%            Number of atoms       :  268 (  36 equ)
%            Maximal formula atoms :   14 (   4 avg)
%            Number of connectives :  311 ( 110   ~; 108   |;  65   &)
%                                         (   6 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-4 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-4 aty)
%            Number of variables   :  183 (   0 sgn 171   !;  12   ?;  43   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f9,axiom,
    ! [X0,X1,X2] :
      ( member(X0,unordered_pair(X1,X2))
    <=> ( X0 = X2
        | X0 = X1 ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',unordered_pair) ).

fof(f12,axiom,
    ! [X0,X1] :
      ( order(X0,X1)
    <=> ( ! [X2,X3,X4] :
            ( ( member(X4,X1)
              & member(X3,X1)
              & member(X2,X1) )
           => ( ( apply(X0,X3,X4)
                & apply(X0,X2,X3) )
             => apply(X0,X2,X4) ) )
        & ! [X2,X3] :
            ( ( member(X3,X1)
              & member(X2,X1) )
           => ( ( apply(X0,X3,X2)
                & apply(X0,X2,X3) )
             => X2 = X3 ) )
        & ! [X2] :
            ( member(X2,X1)
           => apply(X0,X2,X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+3.ax',order) ).

fof(f14,axiom,
    ! [X0,X1,X2] :
      ( upper_bound(X2,X0,X1)
    <=> ! [X3] :
          ( member(X3,X1)
         => apply(X0,X3,X2) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+3.ax',upper_bound) ).

fof(f20,axiom,
    ! [X0,X1,X2,X3] :
      ( least_upper_bound(X0,X1,X2,X3)
    <=> ( ! [X4] :
            ( ( upper_bound(X4,X2,X1)
              & member(X4,X3) )
           => apply(X2,X0,X4) )
        & upper_bound(X0,X2,X1)
        & member(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+3.ax',least_upper_bound) ).

fof(f22,conjecture,
    ! [X0,X1,X2,X3] :
      ( ( apply(X0,X2,X3)
        & member(X3,X1)
        & member(X2,X1)
        & order(X0,X1) )
     => least_upper_bound(X3,unordered_pair(X2,X3),X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIV7) ).

fof(f23,negated_conjecture,
    ~ ! [X0,X1,X2,X3] :
        ( ( apply(X0,X2,X3)
          & member(X3,X1)
          & member(X2,X1)
          & order(X0,X1) )
       => least_upper_bound(X3,unordered_pair(X2,X3),X0,X1) ),
    inference(negated_conjecture,[status(cth)],[f22]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( order(X0,X1)
    <=> ( ! [X5,X6,X7] :
            ( ( member(X7,X1)
              & member(X6,X1)
              & member(X5,X1) )
           => ( ( apply(X0,X6,X7)
                & apply(X0,X5,X6) )
             => apply(X0,X5,X7) ) )
        & ! [X3,X4] :
            ( ( member(X4,X1)
              & member(X3,X1) )
           => ( ( apply(X0,X4,X3)
                & apply(X0,X3,X4) )
             => X3 = X4 ) )
        & ! [X2] :
            ( member(X2,X1)
           => apply(X0,X2,X2) ) ) ),
    inference(rectify,[],[f12]) ).

fof(f25,plain,
    ! [X0,X1,X2,X3] :
      ( ( ! [X4] :
            ( ( upper_bound(X4,X2,X1)
              & member(X4,X3) )
           => apply(X2,X0,X4) )
        & upper_bound(X0,X2,X1)
        & member(X0,X1) )
     => least_upper_bound(X0,X1,X2,X3) ),
    inference(unused_predicate_definition_removal,[],[f20]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( order(X0,X1)
     => ( ! [X5,X6,X7] :
            ( ( member(X7,X1)
              & member(X6,X1)
              & member(X5,X1) )
           => ( ( apply(X0,X6,X7)
                & apply(X0,X5,X6) )
             => apply(X0,X5,X7) ) )
        & ! [X3,X4] :
            ( ( member(X4,X1)
              & member(X3,X1) )
           => ( ( apply(X0,X4,X3)
                & apply(X0,X3,X4) )
             => X3 = X4 ) )
        & ! [X2] :
            ( member(X2,X1)
           => apply(X0,X2,X2) ) ) ),
    inference(unused_predicate_definition_removal,[],[f24]) ).

fof(f27,plain,
    ? [X0,X1,X2,X3] :
      ( apply(X0,X2,X3)
      & member(X3,X1)
      & member(X2,X1)
      & order(X0,X1)
      & ~ least_upper_bound(X3,unordered_pair(X2,X3),X0,X1) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f28,plain,
    ? [X0,X1,X2,X3] :
      ( apply(X0,X2,X3)
      & member(X3,X1)
      & member(X2,X1)
      & order(X0,X1)
      & ~ least_upper_bound(X3,unordered_pair(X2,X3),X0,X1) ),
    inference(flattening,[],[f27]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ~ order(X0,X1)
      | ( ! [X5,X6,X7] :
            ( ~ member(X7,X1)
            | ~ member(X6,X1)
            | ~ member(X5,X1)
            | ~ apply(X0,X6,X7)
            | ~ apply(X0,X5,X6)
            | apply(X0,X5,X7) )
        & ! [X3,X4] :
            ( ~ member(X4,X1)
            | ~ member(X3,X1)
            | ~ apply(X0,X4,X3)
            | ~ apply(X0,X3,X4)
            | X3 = X4 )
        & ! [X2] :
            ( ~ member(X2,X1)
            | apply(X0,X2,X2) ) ) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( ~ order(X0,X1)
      | ( ! [X5,X6,X7] :
            ( ~ member(X7,X1)
            | ~ member(X6,X1)
            | ~ member(X5,X1)
            | ~ apply(X0,X6,X7)
            | ~ apply(X0,X5,X6)
            | apply(X0,X5,X7) )
        & ! [X3,X4] :
            ( ~ member(X4,X1)
            | ~ member(X3,X1)
            | ~ apply(X0,X4,X3)
            | ~ apply(X0,X3,X4)
            | X3 = X4 )
        & ! [X2] :
            ( ~ member(X2,X1)
            | apply(X0,X2,X2) ) ) ),
    inference(flattening,[],[f29]) ).

fof(f31,plain,
    ! [X0,X1,X2,X3] :
      ( ? [X4] :
          ( upper_bound(X4,X2,X1)
          & member(X4,X3)
          & ~ apply(X2,X0,X4) )
      | ~ upper_bound(X0,X2,X1)
      | ~ member(X0,X1)
      | least_upper_bound(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f32,plain,
    ! [X0,X1,X2,X3] :
      ( ? [X4] :
          ( upper_bound(X4,X2,X1)
          & member(X4,X3)
          & ~ apply(X2,X0,X4) )
      | ~ upper_bound(X0,X2,X1)
      | ~ member(X0,X1)
      | least_upper_bound(X0,X1,X2,X3) ),
    inference(flattening,[],[f31]) ).

fof(f33,plain,
    ! [X0,X1,X2] :
      ( upper_bound(X2,X0,X1)
    <=> ! [X3] :
          ( ~ member(X3,X1)
          | apply(X0,X3,X2) ) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f34,plain,
    ( apply(sK0,sK2,sK3)
    & member(sK3,sK1)
    & member(sK2,sK1)
    & order(sK0,sK1)
    & ~ least_upper_bound(sK3,unordered_pair(sK2,sK3),sK0,sK1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f28]) ).

fof(f35,plain,
    ! [X0,X1,X2] :
      ( ( ~ member(X0,unordered_pair(X1,X2))
        | X0 = X2
        | X0 = X1 )
      & ( ( X0 != X2
          & X0 != X1 )
        | member(X0,unordered_pair(X1,X2)) ) ),
    inference(nnf_transformation,[],[f9]) ).

fof(f36,plain,
    ! [X0,X1,X2] :
      ( ( ~ member(X0,unordered_pair(X1,X2))
        | X0 = X2
        | X0 = X1 )
      & ( ( X0 != X2
          & X0 != X1 )
        | member(X0,unordered_pair(X1,X2)) ) ),
    inference(flattening,[],[f35]) ).

fof(f37,plain,
    ! [X0,X1,X2,X3] :
      ( ( upper_bound(sK4(X0,X1,X2,X3),X2,X1)
        & member(sK4(X0,X1,X2,X3),X3)
        & ~ apply(X2,X0,sK4(X0,X1,X2,X3)) )
      | ~ upper_bound(X0,X2,X1)
      | ~ member(X0,X1)
      | least_upper_bound(X0,X1,X2,X3) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X4,sK4(X0,X1,X2,X3))],[f32]) ).

fof(f38,plain,
    ! [X0,X1,X2] :
      ( ( ~ upper_bound(X2,X0,X1)
        | ! [X3] :
            ( ~ member(X3,X1)
            | apply(X0,X3,X2) ) )
      & ( ? [X3] :
            ( member(X3,X1)
            & ~ apply(X0,X3,X2) )
        | upper_bound(X2,X0,X1) ) ),
    inference(nnf_transformation,[],[f33]) ).

fof(f39,plain,
    ! [X0,X1,X2] :
      ( ( ~ upper_bound(X2,X0,X1)
        | ! [X4] :
            ( ~ member(X4,X1)
            | apply(X0,X4,X2) ) )
      & ( ? [X3] :
            ( member(X3,X1)
            & ~ apply(X0,X3,X2) )
        | upper_bound(X2,X0,X1) ) ),
    inference(rectify,[],[f38]) ).

fof(f40,plain,
    ! [X0,X1,X2] :
      ( ( ~ upper_bound(X2,X0,X1)
        | ! [X4] :
            ( ~ member(X4,X1)
            | apply(X0,X4,X2) ) )
      & ( ( member(sK5(X0,X1,X2),X1)
          & ~ apply(X0,sK5(X0,X1,X2),X2) )
        | upper_bound(X2,X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X3,sK5(X0,X1,X2))],[f39]) ).

fof(f41,plain,
    apply(sK0,sK2,sK3),
    inference(cnf_transformation,[],[f34]) ).

fof(f42,plain,
    member(sK3,sK1),
    inference(cnf_transformation,[],[f34]) ).

fof(f44,plain,
    order(sK0,sK1),
    inference(cnf_transformation,[],[f34]) ).

fof(f45,plain,
    ~ least_upper_bound(sK3,unordered_pair(sK2,sK3),sK0,sK1),
    inference(cnf_transformation,[],[f34]) ).

fof(f48,plain,
    ! [X2,X0,X1] :
      ( ~ order(X0,X1)
      | ~ member(X2,X1)
      | apply(X0,X2,X2) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f49,plain,
    ! [X2,X0,X1] :
      ( ~ member(X0,unordered_pair(X1,X2))
      | X0 = X2
      | X0 = X1 ),
    inference(cnf_transformation,[],[f36]) ).

fof(f50,plain,
    ! [X2,X0,X1] :
      ( X0 != X2
      | member(X0,unordered_pair(X1,X2)) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f52,plain,
    ! [X2,X3,X0,X1] :
      ( upper_bound(sK4(X0,X1,X2,X3),X2,X1)
      | ~ upper_bound(X0,X2,X1)
      | ~ member(X0,X1)
      | least_upper_bound(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f54,plain,
    ! [X2,X3,X0,X1] :
      ( ~ apply(X2,X0,sK4(X0,X1,X2,X3))
      | ~ upper_bound(X0,X2,X1)
      | ~ member(X0,X1)
      | least_upper_bound(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f55,plain,
    ! [X2,X0,X1,X4] :
      ( ~ upper_bound(X2,X0,X1)
      | ~ member(X4,X1)
      | apply(X0,X4,X2) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f56,plain,
    ! [X2,X0,X1] :
      ( member(sK5(X0,X1,X2),X1)
      | upper_bound(X2,X0,X1) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f57,plain,
    ! [X2,X0,X1] :
      ( ~ apply(X0,sK5(X0,X1,X2),X2)
      | upper_bound(X2,X0,X1) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f59,plain,
    ! [X2,X1] : member(X2,unordered_pair(X1,X2)),
    inference(equality_resolution,[],[f50]) ).

tcf(c_49,negated_conjecture,
    ~ least_upper_bound(sK3,unordered_pair(sK2,sK3),sK0,sK1),
    inference(cnf_transformation,[],[f45]) ).

tcf(c_50,negated_conjecture,
    order(sK0,sK1),
    inference(cnf_transformation,[],[f44]) ).

tcf(c_52,negated_conjecture,
    member(sK3,sK1),
    inference(cnf_transformation,[],[f42]) ).

tcf(c_53,negated_conjecture,
    apply(sK0,sK2,sK3),
    inference(cnf_transformation,[],[f41]) ).

tcf(c_54,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( apply(X0,X2,X2)
      | ~ member(X2,X1)
      | ~ order(X0,X1) ),
    inference(cnf_transformation,[],[f48]) ).

tcf(c_58,plain,
    ! [X0: $i,X1: $i] : member(X0,unordered_pair(X1,X0)),
    inference(cnf_transformation,[],[f59]) ).

tcf(c_59,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = X2 )
      | ( X0 = X1 )
      | ~ member(X0,unordered_pair(X1,X2)) ),
    inference(cnf_transformation,[],[f49]) ).

tcf(c_60,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( least_upper_bound(X1,X2,X0,X3)
      | ~ member(X1,X2)
      | ~ upper_bound(X1,X0,X2)
      | ~ apply(X0,X1,sK4(X1,X2,X0,X3)) ),
    inference(cnf_transformation,[],[f54]) ).

tcf(c_62,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( least_upper_bound(X0,X2,X1,X3)
      | upper_bound(sK4(X0,X2,X1,X3),X1,X2)
      | ~ member(X0,X2)
      | ~ upper_bound(X0,X1,X2) ),
    inference(cnf_transformation,[],[f52]) ).

tcf(c_63,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( upper_bound(X2,X0,X1)
      | ~ apply(X0,sK5(X0,X1,X2),X2) ),
    inference(cnf_transformation,[],[f57]) ).

tcf(c_64,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( upper_bound(X2,X0,X1)
      | member(sK5(X0,X1,X2),X1) ),
    inference(cnf_transformation,[],[f56]) ).

tcf(c_65,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( apply(X1,X3,X0)
      | ~ member(X3,X2)
      | ~ upper_bound(X0,X1,X2) ),
    inference(cnf_transformation,[],[f55]) ).

tcf(c_249,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( upper_bound(sK4(X1,X0,X2,X3),X2,X0)
      | ~ member(X1,X0)
      | ~ upper_bound(X1,X2,X0)
      | ( X3 != sK1 )
      | ( X2 != sK0 )
      | ( X1 != sK3 )
      | ( unordered_pair(sK2,sK3) != X0 ) ),
    inference(resolution_lifted,[status(thm)],[c_49,c_62]) ).

tcf(c_250,plain,
    ( upper_bound(sK4(sK3,unordered_pair(sK2,sK3),sK0,sK1),sK0,unordered_pair(sK2,sK3))
    | ~ member(sK3,unordered_pair(sK2,sK3))
    | ~ upper_bound(sK3,sK0,unordered_pair(sK2,sK3)) ),
    inference(unflattening,[status(thm)],[c_249]) ).

tcf(c_257,plain,
    ( upper_bound(sK4(sK3,unordered_pair(sK2,sK3),sK0,sK1),sK0,unordered_pair(sK2,sK3))
    | ~ upper_bound(sK3,sK0,unordered_pair(sK2,sK3)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_250,c_58]) ).

tcf(c_271,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ member(X1,X0)
      | ~ upper_bound(X1,X2,X0)
      | ~ apply(X2,X1,sK4(X1,X0,X2,X3))
      | ( X3 != sK1 )
      | ( X2 != sK0 )
      | ( X1 != sK3 )
      | ( unordered_pair(sK2,sK3) != X0 ) ),
    inference(resolution_lifted,[status(thm)],[c_49,c_60]) ).

tcf(c_272,plain,
    ( ~ member(sK3,unordered_pair(sK2,sK3))
    | ~ upper_bound(sK3,sK0,unordered_pair(sK2,sK3))
    | ~ apply(sK0,sK3,sK4(sK3,unordered_pair(sK2,sK3),sK0,sK1)) ),
    inference(unflattening,[status(thm)],[c_271]) ).

tcf(c_279,plain,
    ( ~ upper_bound(sK3,sK0,unordered_pair(sK2,sK3))
    | ~ apply(sK0,sK3,sK4(sK3,unordered_pair(sK2,sK3),sK0,sK1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_272,c_58]) ).

tcf(c_288,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( apply(X0,X2,X2)
      | ~ member(X2,X1)
      | ( X1 != sK1 )
      | ( X0 != sK0 ) ),
    inference(resolution_lifted,[status(thm)],[c_50,c_54]) ).

tcf(c_289,plain,
    ! [X0: $i] :
      ( apply(sK0,X0,X0)
      | ~ member(X0,sK1) ),
    inference(unflattening,[status(thm)],[c_288]) ).

tcf(c_803,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( upper_bound(X3,X0,unordered_pair(X1,X2))
      | ( sK5(X0,unordered_pair(X1,X2),X3) = X2 )
      | ( sK5(X0,unordered_pair(X1,X2),X3) = X1 ) ),
    inference(superposition,[status(thm)],[c_64,c_59]) ).

tcf(c_820,plain,
    ! [X0: $i] :
      ( apply(sK0,X0,sK4(sK3,unordered_pair(sK2,sK3),sK0,sK1))
      | ~ member(X0,unordered_pair(sK2,sK3))
      | ~ upper_bound(sK3,sK0,unordered_pair(sK2,sK3)) ),
    inference(superposition,[status(thm)],[c_257,c_65]) ).

tcf(c_832,plain,
    ( ~ member(sK3,unordered_pair(sK2,sK3))
    | ~ upper_bound(sK3,sK0,unordered_pair(sK2,sK3)) ),
    inference(superposition,[status(thm)],[c_820,c_279]) ).

tcf(c_836,plain,
    ~ upper_bound(sK3,sK0,unordered_pair(sK2,sK3)),
    inference(forward_subsumption_resolution,[status(thm)],[c_832,c_58]) ).

tcf(c_844,plain,
    ( ( sK5(sK0,unordered_pair(sK2,sK3),sK3) = sK2 )
    | ( sK5(sK0,unordered_pair(sK2,sK3),sK3) = sK3 ) ),
    inference(superposition,[status(thm)],[c_803,c_836]) ).

tcf(c_856,plain,
    ( upper_bound(sK3,sK0,unordered_pair(sK2,sK3))
    | ( sK5(sK0,unordered_pair(sK2,sK3),sK3) = sK3 )
    | ~ apply(sK0,sK2,sK3) ),
    inference(superposition,[status(thm)],[c_844,c_63]) ).

tcf(c_858,plain,
    sK5(sK0,unordered_pair(sK2,sK3),sK3) = sK3,
    inference(forward_subsumption_resolution,[status(thm)],[c_856,c_836,c_53]) ).

tcf(c_859,plain,
    ( upper_bound(sK3,sK0,unordered_pair(sK2,sK3))
    | ~ apply(sK0,sK3,sK3) ),
    inference(superposition,[status(thm)],[c_858,c_63]) ).

tcf(c_861,plain,
    ~ apply(sK0,sK3,sK3),
    inference(forward_subsumption_resolution,[status(thm)],[c_859,c_836]) ).

tcf(c_862,plain,
    ~ member(sK3,sK1),
    inference(superposition,[status(thm)],[c_289,c_861]) ).

tcf(c_863,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_862,c_52]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET795+4 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.36  % Computer : n018.cluster.edu
% 0.11/0.36  % Model    : x86_64 x86_64
% 0.11/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36  % Memory   : 8046.5625MB
% 0.11/0.36  % OS       : Linux 6.8.0-71-generic
% 0.11/0.36  % CPULimit : 300
% 0.11/0.36  % WCLimit  : 300
% 0.11/0.36  % DateTime : Thu Sep 24 12:00:48 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.41  Running first-order theorem proving
% 0.11/0.41  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.42  
% 0.11/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42  
% 0.11/0.42  % Detected problem language: tptp
% 0.11/0.43  % Proving...
% 3.74/1.28  % SZS status Started for theBenchmark.p
% 3.74/1.28  % SZS status Theorem for theBenchmark.p
% 3.74/1.28  
% 3.74/1.28  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.74/1.28  
% 3.74/1.28  % ------  iProver source info
% 3.74/1.28  
% 3.74/1.28  % git: date: 2026-07-19 20:42:38 +0200
% 3.74/1.28  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.74/1.28  % git: non_committed_changes: false
% 3.74/1.28  
% 3.74/1.28  % ------ Parsing...
% 3.74/1.28  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 3.74/1.28  
% 3.74/1.28  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 3 0s  sf_e  pe_s  pe_e % 
% 3.74/1.28  
% 3.74/1.28  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 3.74/1.28  
% 3.74/1.28  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.74/1.28  % ------ Proving...
% 3.74/1.28  % ------ Problem Properties 
% 3.74/1.28  
% 3.74/1.28  % 
% 3.74/1.28  % clauses                               15
% 3.74/1.28  % conjectures                           3
% 3.74/1.28  % EPR                                   7
% 3.74/1.28  % Horn                                  13
% 3.74/1.28  % unary                                 5
% 3.74/1.28  % binary                                6
% 3.74/1.28  % lits                                  34
% 3.74/1.28  % lits eq                               3
% 3.74/1.28  % fd_pure                               0
% 3.74/1.28  % fd_pseudo                             0
% 3.74/1.28  % fd_cond                               0
% 3.74/1.28  % fd_pseudo_cond                        2
% 3.74/1.28  % AC symbols                            0
% 3.74/1.28  
% 3.74/1.28  % ------ Schedule dynamic 5 is on 
% 3.74/1.28  
% 3.74/1.28  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.74/1.28  
% 3.74/1.28  
% 3.74/1.28  % ------ 
% 3.74/1.28  % Current options:
% 3.74/1.28  % ------ 
% 3.74/1.28  
% 3.74/1.28  
% 3.74/1.28  % 
% 3.74/1.28  
% 3.74/1.28  % ------ Proving...
% 3.74/1.28  % 
% 3.74/1.28  
% 3.74/1.28  % SZS status Theorem for theBenchmark.p
% 3.74/1.28  
% 3.74/1.28  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.74/1.29  
% 3.74/1.29  
%------------------------------------------------------------------------------