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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : NUN072+2 : TPTP v9.3.1. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n009.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 : Tue Sep 29 12:27:03 PM UTC 2026

% Result   : Theorem 1.85s 0.82s
% Output   : Refutation 1.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   97 (  61 unt;   0 def)
%            Number of atoms       :  227 (  53 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  202 (  72   ~;  91   |;  39   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   17 (  17 usr;   1 con; 0-2 aty)
%            Number of variables   :  237 ( 202   !;  35   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ? [X0] :
    ! [X1] :
      ( ( ~ r1(X1)
        & X1 != X0 )
      | ( r1(X1)
        & X1 = X0 ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_1) ).

fof(f2,axiom,
    ! [X0] :
    ? [X1] :
    ! [X2] :
      ( ( ~ r2(X0,X2)
        & X2 != X1 )
      | ( r2(X0,X2)
        & X2 = X1 ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_2) ).

fof(f3,axiom,
    ! [X0,X1] :
    ? [X2] :
    ! [X3] :
      ( ( ~ r3(X0,X1,X3)
        & X3 != X2 )
      | ( r3(X0,X1,X3)
        & X3 = X2 ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_3) ).

fof(f4,axiom,
    ! [X0,X1] :
    ? [X2] :
    ! [X3] :
      ( ( ~ r4(X0,X1,X3)
        & X3 != X2 )
      | ( r4(X0,X1,X3)
        & X3 = X2 ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_4) ).

fof(f5,axiom,
    ! [X0,X1] :
    ? [X2] :
      ( ? [X3] :
          ( ? [X4] :
              ( r2(X1,X4)
              & r3(X0,X4,X3) )
          & X3 = X2 )
      & ? [X5] :
          ( r2(X5,X2)
          & r3(X0,X1,X5) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_1a) ).

fof(f6,axiom,
    ! [X0,X1] :
    ? [X2] :
      ( ? [X3] :
          ( ? [X4] :
              ( r2(X1,X4)
              & r4(X0,X4,X3) )
          & X3 = X2 )
      & ? [X5] :
          ( r3(X5,X0,X2)
          & r4(X0,X1,X5) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_2a) ).

fof(f8,axiom,
    ! [X0] :
    ? [X1] :
      ( ? [X2] :
          ( r1(X2)
          & r3(X0,X2,X1) )
      & X1 = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_4a) ).

fof(f9,axiom,
    ! [X0] :
    ? [X1] :
      ( ? [X2] :
          ( r1(X2)
          & r4(X0,X2,X1) )
      & ? [X3] :
          ( r1(X3)
          & X1 = X3 ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_5a) ).

fof(f12,conjecture,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( r2(X2,X1)
              & ? [X3] :
                  ( r1(X3)
                  & r2(X3,X2) ) )
          & ? [X4] :
              ( r4(X4,X1,X0)
              & ? [X5] :
                  ( r1(X5)
                  & r2(X5,X4) ) ) )
      & ? [X6] :
          ( X0 = X6
          & ? [X7] :
              ( r2(X7,X6)
              & ? [X8] :
                  ( r1(X8)
                  & r2(X8,X7) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',onetimestwoeqtwo) ).

fof(f13,negated_conjecture,
    ~ ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( r2(X2,X1)
                & ? [X3] :
                    ( r1(X3)
                    & r2(X3,X2) ) )
            & ? [X4] :
                ( r4(X4,X1,X0)
                & ? [X5] :
                    ( r1(X5)
                    & r2(X5,X4) ) ) )
        & ? [X6] :
            ( X0 = X6
            & ? [X7] :
                ( r2(X7,X6)
                & ? [X8] :
                    ( r1(X8)
                    & r2(X8,X7) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f12]) ).

fof(f14,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ~ r2(X2,X1)
              | ! [X3] :
                  ( ~ r1(X3)
                  | ~ r2(X3,X2) ) )
          | ! [X4] :
              ( ~ r4(X4,X1,X0)
              | ! [X5] :
                  ( ~ r1(X5)
                  | ~ r2(X5,X4) ) ) )
      | ! [X6] :
          ( X0 != X6
          | ! [X7] :
              ( ~ r2(X7,X6)
              | ! [X8] :
                  ( ~ r1(X8)
                  | ~ r2(X8,X7) ) ) ) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f15,plain,
    ! [X1] :
      ( r1(X1)
      | sK0 != X1 ),
    inference(cnf_transformation,[],[f1]) ).

fof(f16,plain,
    ! [X1] :
      ( sK0 = X1
      | ~ r1(X1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f17,plain,
    ! [X2,X0] :
      ( r2(X0,X2)
      | sK1(X0) != X2 ),
    inference(cnf_transformation,[],[f2]) ).

fof(f18,plain,
    ! [X2,X0] :
      ( ~ r2(X0,X2)
      | sK1(X0) = X2 ),
    inference(cnf_transformation,[],[f2]) ).

fof(f20,plain,
    ! [X3,X0,X1] :
      ( sK2(X0,X1) = X3
      | ~ r3(X0,X1,X3) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f22,plain,
    ! [X3,X0,X1] :
      ( sK3(X0,X1) = X3
      | ~ r4(X0,X1,X3) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f23,plain,
    ! [X0,X1] : r3(X0,sK7(X0,X1),sK6(X0,X1)),
    inference(cnf_transformation,[],[f5]) ).

fof(f24,plain,
    ! [X0,X1] : r2(X1,sK7(X0,X1)),
    inference(cnf_transformation,[],[f5]) ).

fof(f25,plain,
    ! [X0,X1] : sK4(X0,X1) = sK6(X0,X1),
    inference(cnf_transformation,[],[f5]) ).

fof(f26,plain,
    ! [X0,X1] : r3(X0,X1,sK5(X0,X1)),
    inference(cnf_transformation,[],[f5]) ).

fof(f27,plain,
    ! [X0,X1] : r2(sK5(X0,X1),sK4(X0,X1)),
    inference(cnf_transformation,[],[f5]) ).

fof(f28,plain,
    ! [X0,X1] : r4(X0,sK11(X0,X1),sK10(X0,X1)),
    inference(cnf_transformation,[],[f6]) ).

fof(f29,plain,
    ! [X0,X1] : r2(X1,sK11(X0,X1)),
    inference(cnf_transformation,[],[f6]) ).

fof(f30,plain,
    ! [X0,X1] : sK8(X0,X1) = sK10(X0,X1),
    inference(cnf_transformation,[],[f6]) ).

fof(f31,plain,
    ! [X0,X1] : r4(X0,X1,sK9(X0,X1)),
    inference(cnf_transformation,[],[f6]) ).

fof(f32,plain,
    ! [X0,X1] : r3(sK9(X0,X1),X0,sK8(X0,X1)),
    inference(cnf_transformation,[],[f6]) ).

fof(f34,plain,
    ! [X0] : r3(X0,sK13(X0),sK12(X0)),
    inference(cnf_transformation,[],[f8]) ).

fof(f35,plain,
    ! [X0] : r1(sK13(X0)),
    inference(cnf_transformation,[],[f8]) ).

fof(f36,plain,
    ! [X0] : sK12(X0) = X0,
    inference(cnf_transformation,[],[f8]) ).

fof(f37,plain,
    ! [X0] : r4(X0,sK16(X0),sK14(X0)),
    inference(cnf_transformation,[],[f9]) ).

fof(f38,plain,
    ! [X0] : r1(sK16(X0)),
    inference(cnf_transformation,[],[f9]) ).

fof(f39,plain,
    ! [X0] : sK14(X0) = sK15(X0),
    inference(cnf_transformation,[],[f9]) ).

fof(f40,plain,
    ! [X0] : r1(sK15(X0)),
    inference(cnf_transformation,[],[f9]) ).

fof(f46,plain,
    ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
      ( ~ r2(X8,X7)
      | ~ r1(X8)
      | ~ r2(X7,X6)
      | X0 != X6
      | ~ r2(X5,X4)
      | ~ r1(X5)
      | ~ r4(X4,X1,X0)
      | ~ r2(X3,X2)
      | ~ r1(X3)
      | ~ r2(X2,X1) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f47,plain,
    ! [X0,X1] : r2(sK5(X0,X1),sK6(X0,X1)),
    inference(definition_unfolding,[],[f27,f25]) ).

fof(f48,plain,
    ! [X0,X1] : r3(sK9(X0,X1),X0,sK10(X0,X1)),
    inference(definition_unfolding,[],[f32,f30]) ).

fof(f49,plain,
    ! [X0] : r4(X0,sK16(X0),sK15(X0)),
    inference(definition_unfolding,[],[f37,f39]) ).

fof(f50,plain,
    r1(sK0),
    inference(equality_resolution,[],[f15]) ).

fof(f51,plain,
    ! [X0] : r2(X0,sK1(X0)),
    inference(equality_resolution,[],[f17]) ).

fof(f56,plain,
    ! [X2,X3,X1,X8,X6,X7,X4,X5] :
      ( ~ r2(X8,X7)
      | ~ r1(X8)
      | ~ r2(X7,X6)
      | ~ r2(X5,X4)
      | ~ r1(X5)
      | ~ r4(X4,X1,X6)
      | ~ r2(X3,X2)
      | ~ r1(X3)
      | ~ r2(X2,X1) ),
    inference(equality_resolution,[],[f46]) ).

fof(f57,plain,
    ! [X1] :
      ( r1(X1)
      | sK0 = X1 ),
    inference(consistent_polarity_flipping,[],[f16]) ).

fof(f58,plain,
    ~ r1(sK0),
    inference(consistent_polarity_flipping,[],[f50]) ).

fof(f59,plain,
    ! [X3,X0,X1] :
      ( r3(X0,X1,X3)
      | sK2(X0,X1) = X3 ),
    inference(consistent_polarity_flipping,[],[f20]) ).

fof(f61,plain,
    ! [X3,X0,X1] :
      ( r4(X0,X1,X3)
      | sK3(X0,X1) = X3 ),
    inference(consistent_polarity_flipping,[],[f22]) ).

fof(f63,plain,
    ! [X0,X1] : ~ r3(X0,X1,sK5(X0,X1)),
    inference(consistent_polarity_flipping,[],[f26]) ).

fof(f64,plain,
    ! [X0,X1] : ~ r3(X0,sK7(X0,X1),sK6(X0,X1)),
    inference(consistent_polarity_flipping,[],[f23]) ).

fof(f65,plain,
    ! [X0,X1] : ~ r3(sK9(X0,X1),X0,sK10(X0,X1)),
    inference(consistent_polarity_flipping,[],[f48]) ).

fof(f66,plain,
    ! [X0,X1] : ~ r4(X0,X1,sK9(X0,X1)),
    inference(consistent_polarity_flipping,[],[f31]) ).

fof(f67,plain,
    ! [X0,X1] : ~ r4(X0,sK11(X0,X1),sK10(X0,X1)),
    inference(consistent_polarity_flipping,[],[f28]) ).

fof(f68,plain,
    ! [X0] : ~ r1(sK13(X0)),
    inference(consistent_polarity_flipping,[],[f35]) ).

fof(f69,plain,
    ! [X0] : ~ r3(X0,sK13(X0),sK12(X0)),
    inference(consistent_polarity_flipping,[],[f34]) ).

fof(f70,plain,
    ! [X0] : ~ r1(sK15(X0)),
    inference(consistent_polarity_flipping,[],[f40]) ).

fof(f71,plain,
    ! [X0] : ~ r1(sK16(X0)),
    inference(consistent_polarity_flipping,[],[f38]) ).

fof(f72,plain,
    ! [X0] : ~ r4(X0,sK16(X0),sK15(X0)),
    inference(consistent_polarity_flipping,[],[f49]) ).

fof(f76,plain,
    ! [X2,X3,X1,X8,X6,X7,X4,X5] :
      ( ~ r2(X8,X7)
      | r1(X8)
      | ~ r2(X7,X6)
      | ~ r2(X5,X4)
      | r1(X5)
      | r4(X4,X1,X6)
      | ~ r2(X3,X2)
      | r1(X3)
      | ~ r2(X2,X1) ),
    inference(consistent_polarity_flipping,[],[f56]) ).

fof(f77,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ r2(sK1(X0),X1)
      | r1(X0)
      | ~ r2(X2,X3)
      | r1(X2)
      | r4(X3,X4,X1)
      | ~ r2(X5,X6)
      | r1(X5)
      | ~ r2(X6,X4) ),
    inference(resolution,[],[f51,f76]) ).

fof(f78,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ r2(X5,X3)
      | ~ r2(X1,X2)
      | r1(X1)
      | r4(X2,X3,sK1(sK1(X0)))
      | ~ r2(X4,X5)
      | r1(X4)
      | r1(X0) ),
    inference(resolution,[],[f77,f51]) ).

fof(f79,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ r2(X4,X2)
      | r1(X0)
      | r4(X1,sK1(X2),sK1(sK1(X3)))
      | ~ r2(X0,X1)
      | r1(X4)
      | r1(X3) ),
    inference(resolution,[],[f78,f51]) ).

fof(f87,plain,
    ! [X0] : sK0 = sK13(X0),
    inference(resolution,[],[f57,f68]) ).

fof(f88,plain,
    ! [X0] : sK0 = sK15(X0),
    inference(resolution,[],[f57,f70]) ).

fof(f89,plain,
    ! [X0] : sK0 = sK16(X0),
    inference(resolution,[],[f57,f71]) ).

fof(f93,plain,
    ! [X2,X3,X0,X1] :
      ( ~ r2(X0,X1)
      | r4(X1,sK1(sK1(X2)),sK1(sK1(X3)))
      | r1(X0)
      | r1(X2)
      | r1(X3) ),
    inference(resolution,[],[f79,f51]) ).

fof(f96,plain,
    ! [X0] : ~ r3(X0,sK13(X0),X0),
    inference(forward_demodulation,[],[f69,f36]) ).

fof(f97,plain,
    ! [X2,X0,X1] :
      ( r4(sK1(X0),sK1(sK1(X1)),sK1(sK1(X2)))
      | r1(X0)
      | r1(X1)
      | r1(X2) ),
    inference(resolution,[],[f93,f51]) ).

fof(f101,plain,
    ! [X0,X1] : sK1(X0) = sK7(X1,X0),
    inference(resolution,[],[f18,f24]) ).

fof(f102,plain,
    ! [X0,X1] : sK1(X0) = sK11(X1,X0),
    inference(resolution,[],[f18,f29]) ).

fof(f103,plain,
    ! [X0,X1] : sK6(X0,X1) = sK1(sK5(X0,X1)),
    inference(resolution,[],[f47,f18]) ).

fof(f131,plain,
    ! [X0,X1] : sK2(X0,X1) = sK5(X0,X1),
    inference(resolution,[],[f59,f63]) ).

fof(f132,plain,
    ! [X0] : sK2(X0,sK13(X0)) = X0,
    inference(resolution,[],[f59,f96]) ).

fof(f133,plain,
    ! [X0,X1] : sK6(X0,X1) = sK2(X0,sK7(X0,X1)),
    inference(resolution,[],[f59,f64]) ).

fof(f134,plain,
    ! [X0,X1] : sK10(X0,X1) = sK2(sK9(X0,X1),X0),
    inference(resolution,[],[f59,f65]) ).

fof(f136,plain,
    ! [X0,X1] : sK3(X0,X1) = sK9(X0,X1),
    inference(resolution,[],[f61,f66]) ).

fof(f137,plain,
    ! [X0] : sK15(X0) = sK3(X0,sK16(X0)),
    inference(resolution,[],[f61,f72]) ).

fof(f138,plain,
    ! [X0,X1] : sK10(X0,X1) = sK3(X0,sK11(X0,X1)),
    inference(resolution,[],[f61,f67]) ).

fof(f175,plain,
    ! [X0,X1] : ~ r4(X1,sK1(X0),sK10(X1,X0)),
    inference(superposition,[],[f67,f102]) ).

fof(f193,plain,
    ! [X0] : sK2(X0,sK0) = X0,
    inference(forward_demodulation,[],[f132,f87]) ).

fof(f203,plain,
    ! [X0] : sK15(X0) = sK3(X0,sK0),
    inference(forward_demodulation,[],[f137,f89]) ).

fof(f204,plain,
    ! [X0] : sK0 = sK3(X0,sK0),
    inference(forward_demodulation,[],[f203,f88]) ).

fof(f206,plain,
    ! [X0,X1] : sK6(X0,X1) = sK1(sK2(X0,X1)),
    inference(forward_demodulation,[],[f103,f131]) ).

fof(f228,plain,
    ! [X0] : sK1(X0) = sK6(X0,sK0),
    inference(superposition,[],[f206,f193]) ).

fof(f291,plain,
    ! [X0,X1] : sK6(X0,X1) = sK2(X0,sK1(X1)),
    inference(forward_demodulation,[],[f133,f101]) ).

fof(f299,plain,
    ! [X0,X1] : sK10(X0,X1) = sK2(sK3(X0,X1),X0),
    inference(forward_demodulation,[],[f134,f136]) ).

fof(f300,plain,
    ! [X0,X1] : sK10(X0,X1) = sK3(X0,sK1(X1)),
    inference(forward_demodulation,[],[f138,f102]) ).

fof(f301,plain,
    ! [X2,X0,X1] : sK10(X2,sK2(X0,X1)) = sK3(X2,sK6(X0,X1)),
    inference(superposition,[],[f300,f206]) ).

fof(f306,plain,
    ! [X0,X1] : sK6(sK3(sK1(X0),X1),X0) = sK10(sK1(X0),X1),
    inference(superposition,[],[f299,f291]) ).

fof(f834,plain,
    ! [X0] : sK1(sK3(sK1(sK0),X0)) = sK10(sK1(sK0),X0),
    inference(superposition,[],[f306,f228]) ).

fof(f1613,plain,
    ! [X2,X0,X1] :
      ( r4(sK1(X1),sK1(sK1(X2)),sK1(sK10(sK1(sK0),X0)))
      | r1(X1)
      | r1(X2)
      | r1(sK3(sK1(sK0),X0)) ),
    inference(superposition,[],[f97,f834]) ).

fof(f1818,plain,
    ! [X2,X3,X0,X1] :
      ( r4(sK1(X2),sK1(sK1(X3)),sK1(sK3(sK1(sK0),sK6(X0,X1))))
      | r1(X2)
      | r1(X3)
      | r1(sK3(sK1(sK0),sK2(X0,X1))) ),
    inference(superposition,[],[f1613,f301]) ).

fof(f1821,plain,
    ! [X2,X3,X0,X1] :
      ( r4(sK1(X2),sK1(sK1(X3)),sK10(sK1(sK0),sK6(X0,X1)))
      | r1(X2)
      | r1(X3)
      | r1(sK3(sK1(sK0),sK2(X0,X1))) ),
    inference(forward_demodulation,[],[f1818,f834]) ).

fof(f7117,plain,
    ! [X2,X0,X1] :
      ( r4(sK1(X1),sK1(sK1(X2)),sK10(sK1(sK0),sK1(X0)))
      | r1(X1)
      | r1(X2)
      | r1(sK3(sK1(sK0),sK2(X0,sK0))) ),
    inference(superposition,[],[f1821,f228]) ).

fof(f7135,plain,
    ! [X2,X0,X1] :
      ( r4(sK1(X1),sK1(sK1(X2)),sK10(sK1(sK0),sK1(X0)))
      | r1(sK3(sK1(sK0),X0))
      | r1(X1)
      | r1(X2) ),
    inference(forward_demodulation,[],[f7117,f193]) ).

fof(f7193,plain,
    ! [X0] :
      ( r1(sK3(sK1(sK0),X0))
      | r1(sK0)
      | r1(X0) ),
    inference(resolution,[],[f7135,f175]) ).

fof(f7216,plain,
    ! [X0] :
      ( r1(sK3(sK1(sK0),X0))
      | r1(X0) ),
    inference(forward_subsumption_resolution,[],[f7193,f58]) ).

fof(f7218,plain,
    ( r1(sK0)
    | r1(sK0) ),
    inference(superposition,[],[f7216,f204]) ).

fof(f7220,plain,
    r1(sK0),
    inference(duplicate_literal_removal,[],[f7218]) ).

fof(f7221,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f7220,f58]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUN072+2 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.41  % Computer : n009.cluster.edu
% 0.14/0.41  % Model    : x86_64 x86_64
% 0.14/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41  % Memory   : 8046.5625MB
% 0.14/0.41  % OS       : Linux 6.8.0-71-generic
% 0.14/0.41  % CPULimit : 300
% 0.14/0.41  % WCLimit  : 300
% 0.14/0.41  % DateTime : Sun Sep 27 21:55:45 UTC 2026
% 0.14/0.42  % CPUTime  : 
% 0.14/0.42  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.45  Running first-order model finding
% 0.14/0.45  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.85/0.82  % (2439766)Will run a generic schedule for satisfiability detection.
% 1.85/0.82  % (2439775)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=959865133:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.85/0.82  % (2439772)% WARNING: option uhcvi not known.
% 1.85/0.82  % (2439771)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3814680307_2999 on theBenchmark for (2999ds/0Mi)
% 1.85/0.82  % (2439774)dis+10_1_sil=32000:sp=arity:random_seed=488329358:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.85/0.82  % (2439777)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3592999032:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.85/0.82  % (2439776)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2496435780:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.85/0.82  % (2439772)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2952786605:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.85/0.82  % (2439773)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4262006747:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.85/0.82  % TRYING [1]
% 1.85/0.82  % TRYING [2]
% 1.85/0.82  % TRYING [3]
% 1.85/0.82  % TRYING [4]
% 1.85/0.82  % TRYING [5]
% 1.85/0.82  % TRYING [6]
% 1.85/0.82  % (2439775)Instruction limit reached! 
% 1.85/0.82  % (2439775)------------------------------
% 1.85/0.82  % (2439775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.85/0.82  % (2439775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.85/0.82  % (2439775)CaDiCaL version: 2.1.3
% 1.85/0.82  % (2439775)Termination reason: Instruction limit
% 1.85/0.82  % (2439775)Termination phase: Saturation
% 1.85/0.82  % (2439775)Time elapsed: 0.034 s
% 1.85/0.82  % (2439775)Peak memory usage: 12 MB
% 1.85/0.82  % (2439775)Instructions burned: 120 (million)
% 1.85/0.82  % TRYING [7]
% 1.85/0.82  % (2439785)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2692650979:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.85/0.82  % TRYING [1]
% 1.85/0.82  % TRYING [2]
% 1.85/0.82  % TRYING [3]
% 1.85/0.82  % TRYING [4]
% 1.85/0.82  % TRYING [5]
% 1.85/0.82  % TRYING [6]
% 1.85/0.82  % TRYING [8]
% 1.85/0.82  % (2439774)Instruction limit reached! 
% 1.85/0.82  % (2439774)------------------------------
% 1.85/0.82  % (2439774)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.85/0.82  % (2439774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.85/0.82  % (2439774)CaDiCaL version: 2.1.3
% 1.85/0.82  % (2439774)Termination reason: Instruction limit
% 1.85/0.82  % (2439774)Termination phase: Saturation
% 1.85/0.82  % (2439774)Time elapsed: 0.067 s
% 1.85/0.82  % (2439774)Peak memory usage: 12 MB
% 1.85/0.82  % (2439774)Instructions burned: 105 (million)
% 1.85/0.82  % (2439776)Instruction limit reached! 
% 1.85/0.82  % (2439776)------------------------------
% 1.85/0.82  % (2439776)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.85/0.82  % (2439776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.85/0.82  % (2439776)CaDiCaL version: 2.1.3
% 1.85/0.82  % (2439776)Termination reason: Instruction limit
% 1.85/0.82  % (2439776)Termination phase: Saturation
% 1.85/0.82  % (2439776)Time elapsed: 0.075 s
% 1.85/0.82  % (2439776)Peak memory usage: 12 MB
% 1.85/0.82  % (2439776)Instructions burned: 133 (million)
% 1.85/0.82  % TRYING [7]
% 1.85/0.82  % (2439787)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=458874009:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.85/0.82  % (2439777)Instruction limit reached! 
% 1.85/0.82  % (2439777)------------------------------
% 1.85/0.82  % (2439777)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.85/0.82  % (2439777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.85/0.82  % (2439777)CaDiCaL version: 2.1.3
% 1.85/0.82  % (2439777)Termination reason: Instruction limit
% 1.85/0.82  % (2439777)Termination phase: Saturation
% 1.85/0.82  % (2439777)Time elapsed: 0.090 s
% 1.85/0.82  % (2439777)Peak memory usage: 13 MB
% 1.85/0.82  % (2439777)Instructions burned: 160 (million)
% 1.85/0.82  % (2439788)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3522116813:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.85/0.82  % (2439790)ott-21_1_sil=16000:fs=off:random_seed=4114319390:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.85/0.82  % TRYING [9]
% 1.85/0.82  % TRYING [8]
% 1.85/0.82  % (2439787)Instruction limit reached! 
% 1.85/0.82  % (2439787)------------------------------
% 1.85/0.82  % (2439787)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.85/0.82  % (2439787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.85/0.82  % (2439787)CaDiCaL version: 2.1.3
% 1.85/0.82  % (2439787)Termination reason: Instruction limit
% 1.85/0.82  % (2439787)Termination phase: Saturation
% 1.85/0.82  % (2439787)Time elapsed: 0.086 s
% 1.85/0.82  % (2439787)Peak memory usage: 13 MB
% 1.85/0.82  % (2439787)Instructions burned: 132 (million)
% 1.85/0.82  % TRYING [10]
% 1.85/0.82  % (2439793)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=887229156:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.85/0.82  % (2439785)Instruction limit reached! 
% 1.85/0.82  % (2439785)------------------------------
% 1.85/0.82  % (2439785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.85/0.82  % (2439785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.85/0.82  % (2439785)CaDiCaL version: 2.1.3
% 1.85/0.82  % (2439785)Termination reason: Instruction limit
% 1.85/0.82  % (2439785)Termination phase: Finite model building SAT solving
% 1.85/0.82  % (2439785)Time elapsed: 0.156 s
% 1.85/0.82  % (2439785)Peak memory usage: 27 MB
% 1.85/0.82  % (2439785)Instructions burned: 715 (million)
% 1.85/0.82  % (2439795)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1543875329:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.85/0.82  % TRYING [1]
% 1.85/0.82  % (2439790)Instruction limit reached! 
% 1.85/0.82  % (2439790)------------------------------
% 1.85/0.82  % (2439790)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.85/0.82  % TRYING [2]
% 1.85/0.82  % (2439790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.85/0.82  % (2439790)CaDiCaL version: 2.1.3
% 1.85/0.82  % (2439790)Termination reason: Instruction limit
% 1.85/0.82  % (2439790)Termination phase: Saturation
% 1.85/0.82  % (2439790)Time elapsed: 0.099 s
% 1.85/0.82  % (2439790)Peak memory usage: 13 MB
% 1.85/0.82  % (2439790)Instructions burned: 182 (million)
% 1.85/0.82  % TRYING [3]
% 1.85/0.82  % TRYING [4]
% 1.85/0.82  % TRYING [5]
% 1.85/0.82  % (2439797)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4029068445:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 1.85/0.82  % TRYING [6]
% 1.85/0.82  % TRYING [7]
% 1.85/0.82  % TRYING [8]
% 1.85/0.82  % TRYING [11]
% 1.85/0.82  % (2439772) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2439766-2439772"...
% 1.85/0.82  % (2439772)...printing done.
% 1.85/0.82  % (2439772)Refutation found. Thanks to Tanya!
% 1.85/0.82  % SZS status Theorem for theBenchmark
% 1.85/0.82  % SZS output start Proof for theBenchmark
% See solution above
% 1.85/0.82  % (2439772)------------------------------
% 1.85/0.82  % (2439772)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.85/0.82  % (2439772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.85/0.82  % (2439772)CaDiCaL version: 2.1.3
% 1.85/0.82  % (2439772)Termination reason: Refutation
% 1.85/0.82  % (2439772)Time elapsed: 0.316 s
% 1.85/0.82  % (2439772)Peak memory usage: 14 MB
% 1.85/0.82  % (2439772)Instructions burned: 561 (million)
% 1.85/0.82  % (2439766)Success in time 0.362 s
% 1.85/0.82  % Vampire exiting
%------------------------------------------------------------------------------