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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : NUN066+1 : TPTP v9.3.1. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n014.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 02:29:55 PM UTC 2026

% Result   : Theorem 6.03s 7.28s
% Output   : CNFRefutation 6.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   90 (  12 unt;   0 def)
%            Number of atoms       :  228 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  257 ( 119   ~; 118   |;  20   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 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  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   1 con; 0-1 aty)
%            Number of variables   :  142 (   0 sgn 134   !;   8   ?;  80   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ? [X0] :
    ! [X1] :
      ( ( ~ id(X1,X0)
        & ~ r1(X1) )
      | ( r1(X1)
        & id(X1,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_1) ).

fof(f2,axiom,
    ! [X0] :
    ? [X1] :
    ! [X2] :
      ( ( ~ id(X2,X1)
        & ~ r2(X0,X2) )
      | ( r2(X0,X2)
        & id(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_2) ).

fof(f5,axiom,
    ! [X0] : id(X0,X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_5) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( id(X1,X0)
      | ~ id(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_6) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( ( r1(X1)
        & r1(X0) )
      | ( ~ r1(X1)
        & ~ r1(X0) )
      | ~ id(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_8) ).

fof(f14,axiom,
    ! [X0,X1] :
      ( id(X0,X1)
      | ! [X2] :
          ( ~ r2(X1,X2)
          | ! [X3] :
              ( ~ r2(X0,X3)
              | ~ id(X3,X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_3a) ).

fof(f18,axiom,
    ! [X0,X1] :
      ( ~ r2(X0,X1)
      | ! [X2] :
          ( ~ r1(X2)
          | ~ id(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_7a) ).

fof(f19,conjecture,
    ? [X0] :
      ( ! [X4] :
          ( ~ r1(X4)
          | ~ id(X0,X4) )
      & ! [X1] :
          ( ~ id(X0,X1)
          | ! [X2] :
              ( ~ r2(X2,X1)
              | ! [X3] :
                  ( ~ r2(X3,X2)
                  | ~ r1(X3) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nonzerononetwoexistid) ).

fof(f20,negated_conjecture,
    ~ ? [X0] :
        ( ! [X4] :
            ( ~ r1(X4)
            | ~ id(X0,X4) )
        & ! [X1] :
            ( ~ id(X0,X1)
            | ! [X2] :
                ( ~ r2(X2,X1)
                | ! [X3] :
                    ( ~ r2(X3,X2)
                    | ~ r1(X3) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f19]) ).

fof(f21,plain,
    ! [X0] :
      ( ? [X4] :
          ( r1(X4)
          & id(X0,X4) )
      | ? [X1] :
          ( id(X0,X1)
          & ? [X2] :
              ( r2(X2,X1)
              & ? [X3] :
                  ( r2(X3,X2)
                  & r1(X3) ) ) ) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f22,plain,
    ! [X0] :
      ( ( r1(sK3(X0))
        & id(X0,sK3(X0)) )
      | ( id(X0,sK0(X0))
        & r2(sK1(X0),sK0(X0))
        & r2(sK2(X0),sK1(X0))
        & r1(sK2(X0)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X1,sK0(X0)),skolemize(X2,sK1(X0)),skolemize(X3,sK2(X0)),skolemize(X4,sK3(X0))],[f21]) ).

fof(f25,plain,
    ! [X1] :
      ( ( ~ id(X1,sK9)
        & ~ r1(X1) )
      | ( r1(X1)
        & id(X1,sK9) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X0,sK9)],[f1]) ).

fof(f26,plain,
    ! [X0,X2] :
      ( ( ~ id(X2,sK10(X0))
        & ~ r2(X0,X2) )
      | ( r2(X0,X2)
        & id(X2,sK10(X0)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X1,sK10(X0))],[f2]) ).

fof(f32,plain,
    ! [X0] :
      ( r1(sK3(X0))
      | id(X0,sK0(X0)) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f33,plain,
    ! [X0] :
      ( id(X0,sK3(X0))
      | id(X0,sK0(X0)) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f34,plain,
    ! [X0] :
      ( r1(sK3(X0))
      | r2(sK1(X0),sK0(X0)) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f35,plain,
    ! [X0] :
      ( id(X0,sK3(X0))
      | r2(sK1(X0),sK0(X0)) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f36,plain,
    ! [X0] :
      ( r1(sK3(X0))
      | r2(sK2(X0),sK1(X0)) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f37,plain,
    ! [X0] :
      ( id(X0,sK3(X0))
      | r2(sK2(X0),sK1(X0)) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( id(X1,X0)
      | ~ id(X0,X1) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f42,plain,
    ! [X0] : id(X0,X0),
    inference(cnf_transformation,[],[f5]) ).

fof(f43,plain,
    ! [X2,X0,X1] :
      ( ~ r2(X0,X1)
      | ~ r1(X2)
      | ~ id(X2,X1) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( r1(X0)
      | ~ r1(X1)
      | ~ id(X0,X1) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( r1(X1)
      | ~ r1(X0)
      | ~ id(X0,X1) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f55,plain,
    ! [X1] :
      ( ~ id(X1,sK9)
      | r1(X1) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f58,plain,
    ! [X1] :
      ( ~ r1(X1)
      | id(X1,sK9) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f59,plain,
    ! [X2,X3,X0,X1] :
      ( id(X0,X1)
      | ~ r2(X1,X2)
      | ~ r2(X0,X3)
      | ~ id(X3,X2) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f64,plain,
    ! [X2,X0] :
      ( ~ id(X2,sK10(X0))
      | r2(X0,X2) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f67,plain,
    ! [X2,X0] :
      ( ~ r2(X0,X2)
      | id(X2,sK10(X0)) ),
    inference(cnf_transformation,[],[f26]) ).

tcf(c_51,negated_conjecture,
    ! [X0: $i] :
      ( id(X0,sK3(X0))
      | r2(sK2(X0),sK1(X0)) ),
    inference(cnf_transformation,[],[f37]) ).

tcf(c_52,negated_conjecture,
    ! [X0: $i] :
      ( r1(sK3(X0))
      | r2(sK2(X0),sK1(X0)) ),
    inference(cnf_transformation,[],[f36]) ).

tcf(c_53,negated_conjecture,
    ! [X0: $i] :
      ( id(X0,sK3(X0))
      | r2(sK1(X0),sK0(X0)) ),
    inference(cnf_transformation,[],[f35]) ).

tcf(c_54,negated_conjecture,
    ! [X0: $i] :
      ( r1(sK3(X0))
      | r2(sK1(X0),sK0(X0)) ),
    inference(cnf_transformation,[],[f34]) ).

tcf(c_55,negated_conjecture,
    ! [X0: $i] :
      ( id(X0,sK0(X0))
      | id(X0,sK3(X0)) ),
    inference(cnf_transformation,[],[f33]) ).

tcf(c_56,negated_conjecture,
    ! [X0: $i] :
      ( r1(sK3(X0))
      | id(X0,sK0(X0)) ),
    inference(cnf_transformation,[],[f32]) ).

tcf(c_58,plain,
    ! [X0: $i,X1: $i] :
      ( id(X1,X0)
      | ~ id(X0,X1) ),
    inference(cnf_transformation,[],[f41]) ).

tcf(c_59,plain,
    ! [X0: $i] : id(X0,X0),
    inference(cnf_transformation,[],[f42]) ).

tcf(c_60,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ r1(X0)
      | ~ r2(X2,X1)
      | ~ id(X0,X1) ),
    inference(cnf_transformation,[],[f43]) ).

tcf(c_68,plain,
    ! [X0: $i,X1: $i] :
      ( r1(X1)
      | ~ r1(X0)
      | ~ id(X0,X1) ),
    inference(cnf_transformation,[],[f53]) ).

tcf(c_69,plain,
    ! [X0: $i,X1: $i] :
      ( r1(X0)
      | ~ r1(X1)
      | ~ id(X0,X1) ),
    inference(cnf_transformation,[],[f52]) ).

tcf(c_70,plain,
    ! [X0: $i] :
      ( id(X0,sK9)
      | ~ r1(X0) ),
    inference(cnf_transformation,[],[f58]) ).

tcf(c_71,plain,
    ! [X0: $i] :
      ( r1(X0)
      | ~ id(X0,sK9) ),
    inference(cnf_transformation,[],[f55]) ).

tcf(c_72,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( id(X2,X3)
      | ~ r2(X3,X1)
      | ~ r2(X2,X0)
      | ~ id(X0,X1) ),
    inference(cnf_transformation,[],[f59]) ).

tcf(c_75,plain,
    ! [X0: $i,X1: $i] :
      ( id(X1,sK10(X0))
      | ~ r2(X0,X1) ),
    inference(cnf_transformation,[],[f67]) ).

tcf(c_76,plain,
    ! [X0: $i,X1: $i] :
      ( r2(X1,X0)
      | ~ id(X0,sK10(X1)) ),
    inference(cnf_transformation,[],[f64]) ).

tcf(c_502,plain,
    ! [X0: $i] :
      ( r2(X0,sK10(X0))
      | ~ id(sK10(X0),sK10(X0)) ),
    inference(instantiation,[status(thm)],[c_76]) ).

tcf(c_503,plain,
    ! [X0: $i] : id(sK10(X0),sK10(X0)),
    inference(instantiation,[status(thm)],[c_59]) ).

tcf(c_504,plain,
    ( r2(sK9,sK10(sK9))
    | ~ id(sK10(sK9),sK10(sK9)) ),
    inference(instantiation,[status(thm)],[c_502]) ).

tcf(c_505,plain,
    id(sK10(sK9),sK10(sK9)),
    inference(instantiation,[status(thm)],[c_503]) ).

tcf(c_641,plain,
    ! [X0: $i,X1: $i] :
      ( ~ r1(X0)
      | ~ r2(X1,sK10(X1))
      | ~ id(X0,sK10(X1)) ),
    inference(instantiation,[status(thm)],[c_60]) ).

tcf(c_1173,plain,
    ! [X0: $i] :
      ( id(sK9,X0)
      | ~ r1(X0) ),
    inference(superposition,[status(thm)],[c_70,c_58]) ).

tcf(c_1197,plain,
    ! [X0: $i] :
      ( id(sK9,X0)
      | ~ r1(X0) ),
    inference(superposition,[status(thm)],[c_70,c_58]) ).

tcf(c_2455,plain,
    ! [X0: $i,X1: $i] :
      ( ~ r1(X1)
      | ~ id(X1,sK1(sK10(X0)))
      | ~ r2(sK2(sK10(X0)),sK1(sK10(X0))) ),
    inference(instantiation,[status(thm)],[c_60]) ).

tcf(c_2603,plain,
    ! [X0: $i] :
      ( r2(X0,sK9)
      | ~ r1(sK10(X0)) ),
    inference(superposition,[status(thm)],[c_1173,c_76]) ).

tcf(c_2625,plain,
    ! [X0: $i] : r2(X0,sK10(X0)),
    inference(superposition,[status(thm)],[c_59,c_76]) ).

tcf(c_2628,plain,
    ! [X0: $i] :
      ( r2(X0,sK9)
      | ~ r1(sK10(X0)) ),
    inference(superposition,[status(thm)],[c_1197,c_76]) ).

tcf(c_3209,plain,
    ! [X0: $i] :
      ( ~ r1(sK10(X0))
      | ~ r2(X0,sK10(X0))
      | ~ id(sK10(X0),sK10(X0)) ),
    inference(instantiation,[status(thm)],[c_641]) ).

tcf(c_3632,plain,
    ! [X0: $i] : ~ r1(sK10(X0)),
    inference(global_subsumption_just,[status(thm)],[c_2603,c_502,c_503,c_3209]) ).

tcf(c_3635,plain,
    ! [X0: $i] : ~ r1(sK10(X0)),
    inference(global_subsumption_just,[status(thm)],[c_2628,c_502,c_503,c_3209]) ).

tcf(c_3659,plain,
    ! [X0: $i,X1: $i] :
      ( r1(sK10(X0))
      | ~ r1(X1)
      | ~ r2(X0,X1) ),
    inference(superposition,[status(thm)],[c_75,c_68]) ).

tcf(c_3707,plain,
    ! [X0: $i,X1: $i] :
      ( ~ r1(X1)
      | ~ r2(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3659,c_3632]) ).

tcf(c_3766,plain,
    ! [X0: $i,X1: $i] :
      ( r1(sK10(X0))
      | ~ r1(X1)
      | ~ r2(X0,X1) ),
    inference(superposition,[status(thm)],[c_75,c_68]) ).

tcf(c_3814,plain,
    ! [X0: $i,X1: $i] :
      ( ~ r1(X1)
      | ~ r2(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3766,c_3635]) ).

tcf(c_5216,plain,
    ! [X0: $i] :
      ( ~ r1(sK3(sK10(X0)))
      | ~ r2(X0,sK10(X0))
      | ~ id(sK3(sK10(X0)),sK10(X0)) ),
    inference(instantiation,[status(thm)],[c_641]) ).

tcf(c_5221,plain,
    ( ~ r2(sK9,sK10(sK9))
    | ~ r1(sK3(sK10(sK9)))
    | ~ id(sK3(sK10(sK9)),sK10(sK9)) ),
    inference(instantiation,[status(thm)],[c_5216]) ).

tcf(c_8039,plain,
    ! [X0: $i] :
      ( id(sK3(sK10(X0)),sK10(X0))
      | ~ r2(X0,sK3(sK10(X0))) ),
    inference(instantiation,[status(thm)],[c_75]) ).

tcf(c_8040,plain,
    ( id(sK3(sK10(sK9)),sK10(sK9))
    | ~ r2(sK9,sK3(sK10(sK9))) ),
    inference(instantiation,[status(thm)],[c_8039]) ).

tcf(c_8194,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( id(X2,X0)
      | id(X1,sK3(X1))
      | ~ r2(X2,X1)
      | ~ r2(X0,sK0(X1)) ),
    inference(superposition,[status(thm)],[c_55,c_72]) ).

tcf(c_8398,plain,
    ! [X0: $i] :
      ( ~ r1(sK1(sK10(X0)))
      | ~ r2(sK2(sK10(X0)),sK1(sK10(X0)))
      | ~ id(sK1(sK10(X0)),sK1(sK10(X0))) ),
    inference(instantiation,[status(thm)],[c_2455]) ).

tcf(c_8399,plain,
    ! [X0: $i] : id(sK1(sK10(X0)),sK1(sK10(X0))),
    inference(instantiation,[status(thm)],[c_59]) ).

tcf(c_8400,plain,
    ( ~ r1(sK1(sK10(sK9)))
    | ~ r2(sK2(sK10(sK9)),sK1(sK10(sK9)))
    | ~ id(sK1(sK10(sK9)),sK1(sK10(sK9))) ),
    inference(instantiation,[status(thm)],[c_8398]) ).

tcf(c_8401,plain,
    id(sK1(sK10(sK9)),sK1(sK10(sK9))),
    inference(instantiation,[status(thm)],[c_8399]) ).

tcf(c_8527,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( id(X2,X0)
      | id(X1,sK3(X1))
      | ~ r2(X2,X1)
      | ~ r2(X0,sK0(X1)) ),
    inference(superposition,[status(thm)],[c_55,c_72]) ).

tcf(c_8528,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( r1(sK3(X1))
      | id(X2,X0)
      | ~ r2(X2,X1)
      | ~ r2(X0,sK0(X1)) ),
    inference(superposition,[status(thm)],[c_56,c_72]) ).

tcf(c_8735,plain,
    ! [X0: $i] :
      ( r1(sK3(sK10(X0)))
      | r2(sK2(sK10(X0)),sK1(sK10(X0))) ),
    inference(instantiation,[status(thm)],[c_52]) ).

tcf(c_8738,plain,
    ( r1(sK3(sK10(sK9)))
    | r2(sK2(sK10(sK9)),sK1(sK10(sK9))) ),
    inference(instantiation,[status(thm)],[c_8735]) ).

tcf(c_10181,plain,
    ! [X0: $i] :
      ( id(X0,sK3(X0))
      | ~ r1(sK1(X0)) ),
    inference(superposition,[status(thm)],[c_51,c_3814]) ).

tcf(c_10273,plain,
    ! [X0: $i] :
      ( id(sK3(X0),X0)
      | ~ r1(sK1(X0)) ),
    inference(superposition,[status(thm)],[c_10181,c_58]) ).

tcf(c_12171,plain,
    ! [X0: $i,X1: $i] :
      ( r1(sK3(X1))
      | id(X0,sK1(X1))
      | ~ r2(X0,X1) ),
    inference(superposition,[status(thm)],[c_54,c_8528]) ).

tcf(c_15056,plain,
    ! [X0: $i,X1: $i] :
      ( id(X1,sK3(X1))
      | id(X0,sK1(X1))
      | ~ r2(X0,X1) ),
    inference(superposition,[status(thm)],[c_53,c_8527]) ).

tcf(c_15088,plain,
    ! [X0: $i,X1: $i] :
      ( id(X1,sK3(X1))
      | id(X0,sK1(X1))
      | ~ r2(X0,X1) ),
    inference(superposition,[status(thm)],[c_53,c_8194]) ).

tcf(c_15124,plain,
    ! [X0: $i,X1: $i] :
      ( r1(X1)
      | id(X0,sK1(X1))
      | ~ r1(sK3(X1))
      | ~ r2(X0,X1) ),
    inference(superposition,[status(thm)],[c_15056,c_69]) ).

tcf(c_15252,plain,
    ! [X0: $i,X1: $i] :
      ( ~ r2(X0,X1)
      | id(X0,sK1(X1)) ),
    inference(global_subsumption_just,[status(thm)],[c_15088,c_3707,c_12171,c_15124]) ).

tcf(c_15253,plain,
    ! [X0: $i,X1: $i] :
      ( id(X0,sK1(X1))
      | ~ r2(X0,X1) ),
    inference(renaming,[status(thm)],[c_15252]) ).

tcf(c_15266,plain,
    ! [X0: $i,X1: $i] :
      ( id(sK1(X1),X0)
      | ~ r2(X0,X1) ),
    inference(superposition,[status(thm)],[c_15253,c_58]) ).

tcf(c_23545,plain,
    ! [X0: $i] :
      ( r2(X0,sK3(sK10(X0)))
      | ~ r1(sK1(sK10(X0))) ),
    inference(superposition,[status(thm)],[c_10273,c_76]) ).

tcf(c_23585,plain,
    ( r2(sK9,sK3(sK10(sK9)))
    | ~ r1(sK1(sK10(sK9))) ),
    inference(instantiation,[status(thm)],[c_23545]) ).

tcf(c_24160,plain,
    ! [X0: $i] :
      ( r1(sK1(X0))
      | ~ r2(sK9,X0) ),
    inference(superposition,[status(thm)],[c_15266,c_71]) ).

tcf(c_24425,plain,
    r1(sK1(sK10(sK9))),
    inference(superposition,[status(thm)],[c_2625,c_24160]) ).

tcf(c_24433,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_24425,c_23585,c_8738,c_8401,c_8400,c_8040,c_5221,c_505,c_504]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : NUN066+1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.03  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/5.36  % Computer : n014.cluster.edu
% 0.09/5.36  % Model    : x86_64 x86_64
% 0.09/5.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.36  % Memory   : 8046.5625MB
% 0.09/5.36  % OS       : Linux 6.8.0-71-generic
% 0.09/5.36  % CPULimit : 300
% 0.09/5.36  % WCLimit  : 300
% 0.09/5.36  % DateTime : Thu Sep 24 05:51:54 UTC 2026
% 0.09/5.36  % CPUTime  : 
% 0.09/5.36  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/5.40  Running first-order theorem proving
% 0.13/5.40  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/5.41  
% 0.13/5.41  % ======== iProver multi-core TPTP/SMT =========
% 0.13/5.41  
% 0.13/5.41  % Detected problem language: tptp
% 0.13/5.43  % Proving...
% 6.03/7.28  % SZS status Started for theBenchmark.p
% 6.03/7.28  % SZS status Theorem for theBenchmark.p
% 6.03/7.28  
% 6.03/7.28  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 6.03/7.28  
% 6.03/7.28  % ------  iProver source info
% 6.03/7.28  
% 6.03/7.28  % git: date: 2026-07-19 20:42:38 +0200
% 6.03/7.28  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 6.03/7.28  % git: non_committed_changes: false
% 6.03/7.28  
% 6.03/7.28  % ------ Parsing...
% 6.03/7.28  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 6.03/7.28  
% 6.03/7.28  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 6.03/7.28  
% 6.03/7.28  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 6.03/7.28  % ------ Proving...
% 6.03/7.28  % ------ Problem Properties 
% 6.03/7.28  
% 6.03/7.28  % 
% 6.03/7.28  % clauses                               50
% 6.03/7.28  % conjectures                           8
% 6.03/7.28  % EPR                                   15
% 6.03/7.28  % Horn                                  38
% 6.03/7.28  % unary                                 18
% 6.03/7.28  % binary                                21
% 6.03/7.28  % lits                                  104
% 6.03/7.28  % lits eq                               0
% 6.03/7.28  % fd_pure                               0
% 6.03/7.28  % fd_pseudo                             0
% 6.03/7.28  % fd_cond                               0
% 6.03/7.28  % fd_pseudo_cond                        0
% 6.03/7.28  % AC symbols                            0
% 6.03/7.28  
% 6.03/7.28  % ------ Schedule dynamic 5 is on 
% 6.03/7.28  
% 6.03/7.28  % ------ no equalities: superposition off 
% 6.03/7.28  
% 6.03/7.28  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 6.03/7.28  
% 6.03/7.28  
% 6.03/7.28  % ------ 
% 6.03/7.28  % Current options:
% 6.03/7.28  % ------ 
% 6.03/7.28  
% 6.03/7.28  
% 6.03/7.28  % 
% 6.03/7.28  
% 6.03/7.28  % ------ Proving...
% 6.03/7.28  % 
% 6.03/7.28  
% 6.03/7.28  % SZS status Theorem for theBenchmark.p
% 6.03/7.28  
% 6.03/7.28  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.03/7.28  
% 6.03/7.28  
%------------------------------------------------------------------------------