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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : NUN084+2 : TPTP v9.3.1. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n017.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 12:26:46 PM UTC 2026

% Result   : Theorem 1.13s 1.68s
% Output   : Refutation 5.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   77 (  48 unt;   0 def)
%            Number of atoms       :  155 (  58 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  125 (  47   ~;  28   |;  50   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    3 (   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   :  162 ( 133   !;  29   ?)

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

fof(f2,axiom,
    ! [X0] :
    ? [X1] :
    ! [X2] :
      ( ( ~ r2(X0,X2)
        & X2 != X1 )
      | ( r2(X0,X2)
        & X2 = X1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/theBenchmark.p',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/theBenchmark.p',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/theBenchmark.p',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/theBenchmark.p',axiom_2a) ).

fof(f8,axiom,
    ! [X0] :
    ? [X1] :
      ( ? [X2] :
          ( r1(X2)
          & r3(X0,X2,X1) )
      & X1 = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4a) ).

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

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

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

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

fof(f15,plain,
    ! [X1] :
      ( ( ~ r1(X1)
        & sK0 != X1 )
      | ( r1(X1)
        & sK0 = X1 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f1]) ).

fof(f16,plain,
    ! [X0,X2] :
      ( ( ~ r2(X0,X2)
        & sK1(X0) != X2 )
      | ( r2(X0,X2)
        & sK1(X0) = X2 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X1,sK1(X0))],[f2]) ).

fof(f17,plain,
    ! [X0,X1,X3] :
      ( ( ~ r3(X0,X1,X3)
        & sK2(X0,X1) != X3 )
      | ( r3(X0,X1,X3)
        & sK2(X0,X1) = X3 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X2,sK2(X0,X1))],[f3]) ).

fof(f18,plain,
    ! [X0,X1,X3] :
      ( ( ~ r4(X0,X1,X3)
        & sK3(X0,X1) != X3 )
      | ( r4(X0,X1,X3)
        & sK3(X0,X1) = X3 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0,X1))],[f4]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( r2(X1,sK6(X0,X1))
      & r3(X0,sK6(X0,X1),sK5(X0,X1))
      & sK4(X0,X1) = sK5(X0,X1)
      & r2(sK7(X0,X1),sK4(X0,X1))
      & r3(X0,X1,sK7(X0,X1)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7]),skolemize(X2,sK4(X0,X1)),skolemize(X3,sK5(X0,X1)),skolemize(X4,sK6(X0,X1)),skolemize(X5,sK7(X0,X1))],[f5]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( r2(X1,sK10(X0,X1))
      & r4(X0,sK10(X0,X1),sK9(X0,X1))
      & sK8(X0,X1) = sK9(X0,X1)
      & r3(sK11(X0,X1),X0,sK8(X0,X1))
      & r4(X0,X1,sK11(X0,X1)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11]),skolemize(X2,sK8(X0,X1)),skolemize(X3,sK9(X0,X1)),skolemize(X4,sK10(X0,X1)),skolemize(X5,sK11(X0,X1))],[f6]) ).

fof(f21,plain,
    ! [X0] :
      ( r1(sK13(X0))
      & r3(X0,sK13(X0),sK12(X0))
      & sK12(X0) = X0 ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13]),skolemize(X1,sK12(X0)),skolemize(X2,sK13(X0))],[f8]) ).

fof(f22,plain,
    ! [X0] :
      ( r1(sK15(X0))
      & r4(X0,sK15(X0),sK14(X0))
      & r1(sK16(X0))
      & sK14(X0) = sK16(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15,sK16]),skolemize(X1,sK14(X0)),skolemize(X2,sK15(X0)),skolemize(X3,sK16(X0))],[f9]) ).

fof(f25,plain,
    ! [X1] :
      ( sK0 != X1
      | r1(X1) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f26,plain,
    ! [X1] :
      ( ~ r1(X1)
      | sK0 = X1 ),
    inference(cnf_transformation,[],[f15]) ).

fof(f29,plain,
    ! [X2,X0] :
      ( sK1(X0) != X2
      | r2(X0,X2) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f30,plain,
    ! [X2,X0] :
      ( ~ r2(X0,X2)
      | sK1(X0) = X2 ),
    inference(cnf_transformation,[],[f16]) ).

fof(f34,plain,
    ! [X3,X0,X1] :
      ( ~ r3(X0,X1,X3)
      | sK2(X0,X1) = X3 ),
    inference(cnf_transformation,[],[f17]) ).

fof(f38,plain,
    ! [X3,X0,X1] :
      ( ~ r4(X0,X1,X3)
      | sK3(X0,X1) = X3 ),
    inference(cnf_transformation,[],[f18]) ).

fof(f40,plain,
    ! [X0,X1] : r3(X0,X1,sK7(X0,X1)),
    inference(cnf_transformation,[],[f19]) ).

fof(f41,plain,
    ! [X0,X1] : r2(sK7(X0,X1),sK4(X0,X1)),
    inference(cnf_transformation,[],[f19]) ).

fof(f42,plain,
    ! [X0,X1] : sK4(X0,X1) = sK5(X0,X1),
    inference(cnf_transformation,[],[f19]) ).

fof(f43,plain,
    ! [X0,X1] : r3(X0,sK6(X0,X1),sK5(X0,X1)),
    inference(cnf_transformation,[],[f19]) ).

fof(f44,plain,
    ! [X0,X1] : r2(X1,sK6(X0,X1)),
    inference(cnf_transformation,[],[f19]) ).

fof(f45,plain,
    ! [X0,X1] : r4(X0,X1,sK11(X0,X1)),
    inference(cnf_transformation,[],[f20]) ).

fof(f46,plain,
    ! [X0,X1] : r3(sK11(X0,X1),X0,sK8(X0,X1)),
    inference(cnf_transformation,[],[f20]) ).

fof(f47,plain,
    ! [X0,X1] : sK8(X0,X1) = sK9(X0,X1),
    inference(cnf_transformation,[],[f20]) ).

fof(f48,plain,
    ! [X0,X1] : r4(X0,sK10(X0,X1),sK9(X0,X1)),
    inference(cnf_transformation,[],[f20]) ).

fof(f51,plain,
    ! [X0] : sK12(X0) = X0,
    inference(cnf_transformation,[],[f21]) ).

fof(f52,plain,
    ! [X0] : r3(X0,sK13(X0),sK12(X0)),
    inference(cnf_transformation,[],[f21]) ).

fof(f53,plain,
    ! [X0] : r1(sK13(X0)),
    inference(cnf_transformation,[],[f21]) ).

fof(f54,plain,
    ! [X0] : sK14(X0) = sK16(X0),
    inference(cnf_transformation,[],[f22]) ).

fof(f55,plain,
    ! [X0] : r1(sK16(X0)),
    inference(cnf_transformation,[],[f22]) ).

fof(f56,plain,
    ! [X0] : r4(X0,sK15(X0),sK14(X0)),
    inference(cnf_transformation,[],[f22]) ).

fof(f57,plain,
    ! [X0] : r1(sK15(X0)),
    inference(cnf_transformation,[],[f22]) ).

fof(f63,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ r4(X0,X1,X2)
      | X2 != X3
      | ~ r2(X4,X3)
      | ~ r1(X5)
      | ~ r2(X5,X4) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f64,plain,
    r1(sK0),
    inference(equality_resolution,[],[f25]) ).

fof(f66,plain,
    ! [X0] : r2(X0,sK1(X0)),
    inference(equality_resolution,[],[f29]) ).

fof(f74,plain,
    ! [X3,X0,X1,X4,X5] :
      ( ~ r1(X5)
      | ~ r2(X4,X3)
      | ~ r4(X0,X1,X3)
      | ~ r2(X5,X4) ),
    inference(equality_resolution,[],[f63]) ).

fof(f75,plain,
    ! [X2,X3,X0,X1] :
      ( ~ r2(sK0,X0)
      | ~ r4(X2,X3,X1)
      | ~ r2(X0,X1) ),
    inference(resolution,[],[f64,f74]) ).

fof(f90,plain,
    ! [X2,X0,X1] :
      ( ~ r4(X0,X1,X2)
      | ~ r2(sK1(sK0),X2) ),
    inference(resolution,[],[f66,f75]) ).

fof(f94,plain,
    ! [X0] : sK0 = sK13(X0),
    inference(resolution,[],[f26,f53]) ).

fof(f95,plain,
    ! [X0] : sK0 = sK15(X0),
    inference(resolution,[],[f26,f57]) ).

fof(f104,plain,
    ! [X0] : r1(sK14(X0)),
    inference(superposition,[],[f55,f54]) ).

fof(f117,plain,
    ! [X0] : r3(X0,sK13(X0),X0),
    inference(forward_demodulation,[],[f52,f51]) ).

fof(f133,plain,
    ! [X0,X1] : sK1(X0) = sK6(X1,X0),
    inference(resolution,[],[f30,f44]) ).

fof(f135,plain,
    ! [X0,X1] : sK4(X0,X1) = sK1(sK7(X0,X1)),
    inference(resolution,[],[f41,f30]) ).

fof(f137,plain,
    ! [X0,X1] : r3(X0,sK6(X0,X1),sK4(X0,X1)),
    inference(forward_demodulation,[],[f43,f42]) ).

fof(f138,plain,
    ! [X0,X1] : r4(X0,sK10(X0,X1),sK8(X0,X1)),
    inference(forward_demodulation,[],[f48,f47]) ).

fof(f148,plain,
    ! [X0,X1] : ~ r2(sK1(sK0),sK8(X0,X1)),
    inference(resolution,[],[f138,f90]) ).

fof(f150,plain,
    ! [X0,X1] : sK2(X0,X1) = sK7(X0,X1),
    inference(resolution,[],[f34,f40]) ).

fof(f152,plain,
    ! [X0] : sK2(X0,sK13(X0)) = X0,
    inference(resolution,[],[f34,f117]) ).

fof(f153,plain,
    ! [X0,X1] : sK4(X0,X1) = sK2(X0,sK6(X0,X1)),
    inference(resolution,[],[f34,f137]) ).

fof(f154,plain,
    ! [X0,X1] : sK8(X0,X1) = sK2(sK11(X0,X1),X0),
    inference(resolution,[],[f34,f46]) ).

fof(f155,plain,
    ! [X0,X1] : sK3(X0,X1) = sK11(X0,X1),
    inference(resolution,[],[f38,f45]) ).

fof(f157,plain,
    ! [X0] : sK14(X0) = sK3(X0,sK15(X0)),
    inference(resolution,[],[f38,f56]) ).

fof(f169,plain,
    ! [X0] : sK0 = sK14(X0),
    inference(resolution,[],[f104,f26]) ).

fof(f222,plain,
    ! [X0] : sK2(X0,sK0) = X0,
    inference(forward_demodulation,[],[f152,f94]) ).

fof(f246,plain,
    ! [X0] : sK14(X0) = sK3(X0,sK0),
    inference(forward_demodulation,[],[f157,f95]) ).

fof(f261,plain,
    ! [X0,X1] : sK4(X0,X1) = sK1(sK2(X0,X1)),
    inference(forward_demodulation,[],[f135,f150]) ).

fof(f264,plain,
    ! [X0] : sK1(X0) = sK4(X0,sK0),
    inference(superposition,[],[f261,f222]) ).

fof(f294,plain,
    ! [X0,X1] : sK4(X0,X1) = sK2(X0,sK1(X1)),
    inference(forward_demodulation,[],[f153,f133]) ).

fof(f297,plain,
    ! [X0,X1] : sK4(X0,sK1(X1)) = sK1(sK4(X0,X1)),
    inference(superposition,[],[f261,f294]) ).

fof(f299,plain,
    ! [X0,X1] : sK8(X0,X1) = sK2(sK3(X0,X1),X0),
    inference(forward_demodulation,[],[f154,f155]) ).

fof(f310,plain,
    ! [X0] : sK8(X0,sK0) = sK2(sK14(X0),X0),
    inference(superposition,[],[f299,f246]) ).

fof(f318,plain,
    ! [X0] : sK8(X0,sK0) = sK2(sK0,X0),
    inference(forward_demodulation,[],[f310,f169]) ).

fof(f428,plain,
    ! [X0] : ~ r2(sK1(sK0),sK2(sK0,X0)),
    inference(superposition,[],[f148,f318]) ).

fof(f447,plain,
    ! [X0] : ~ r2(sK1(sK0),sK4(sK0,X0)),
    inference(superposition,[],[f428,f294]) ).

fof(f489,plain,
    ! [X0] : ~ r2(sK1(sK0),sK1(sK4(sK0,X0))),
    inference(superposition,[],[f447,f297]) ).

fof(f503,plain,
    ~ r2(sK1(sK0),sK1(sK1(sK0))),
    inference(superposition,[],[f489,f264]) ).

fof(f505,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f503,f66]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : NUN084+2 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.08  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.44  % Computer : n017.cluster.edu
% 0.18/0.44  % Model    : x86_64 x86_64
% 0.18/0.44  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44  % Memory   : 8046.5625MB
% 0.18/0.44  % OS       : Linux 6.8.0-71-generic
% 0.18/0.44  % CPULimit : 300
% 0.18/0.44  % WCLimit  : 300
% 0.18/0.44  % DateTime : Sun Sep 27 21:53:05 UTC 2026
% 0.18/0.45  % CPUTime  : 
% 0.18/0.45  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.22/0.50  Running first-order theorem proving
% 0.22/0.50  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.13/1.68  % (2975232)Detected formulas, will run a generic FOF schedule.
% 1.13/1.68  % (2975241)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3842761484:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.13/1.68  % (2975239)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2454564418:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.13/1.68  % (2975244)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3046536171:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.13/1.68  % (2975245)dis-21_1_sil=8000:lcm=predicate:random_seed=2019565187:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 1.13/1.68  % (2975243)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1192433044:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.13/1.68  % (2975242)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=160835944:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.13/1.68  % (2975240)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3485914152:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.13/1.68  % (2975242)Refutation not found, incomplete strategy
% 1.13/1.68  % (2975242)------------------------------
% 1.13/1.68  % (2975242)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.13/1.68  % (2975242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.13/1.68  % (2975242)CaDiCaL version: 2.1.3
% 1.13/1.68  % (2975242)Termination reason: Refutation not found, incomplete strategy
% 1.13/1.68  % (2975242)Time elapsed: 0.003 s
% 1.13/1.68  % (2975242)Peak memory usage: 88 MB
% 1.13/1.68  % (2975242)Instructions burned: 2 (million)
% 1.13/1.68  % (2975245)Refutation not found, incomplete strategy
% 1.13/1.68  % (2975245)------------------------------
% 1.13/1.68  % (2975245)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.13/1.68  % (2975245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.13/1.68  % (2975245)CaDiCaL version: 2.1.3
% 1.13/1.68  % (2975245)Termination reason: Refutation not found, incomplete strategy
% 1.13/1.68  % (2975245)Time elapsed: 0.005 s
% 1.13/1.68  % (2975245)Peak memory usage: 88 MB
% 1.13/1.68  % (2975245)Instructions burned: 3 (million)
% 1.13/1.68  % (2975244)First to succeed.
% 1.13/1.68  % (2975244)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2975232"
% 1.13/1.68  % (2975243)Instruction limit reached! 
% 1.13/1.68  % (2975243)------------------------------
% 1.13/1.68  % (2975243)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.13/1.68  % (2975243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.13/1.68  % (2975243)CaDiCaL version: 2.1.3
% 1.13/1.68  % (2975243)Termination reason: Instruction limit
% 1.13/1.68  % (2975243)Termination phase: Saturation
% 1.13/1.68  % (2975243)Time elapsed: 0.114 s
% 1.13/1.68  % (2975243)Peak memory usage: 88 MB
% 1.13/1.68  % (2975243)Instructions burned: 119 (million)
% 1.13/1.68  % (2975253)lrs+10_1_sil=8000:sp=occurrence:random_seed=3356096053:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 1.13/1.68  % (2975253)Also succeeded, but the first one will report.
% 1.13/1.68  % (2975245)------------------------------
% 1.13/1.68  % (2975245)------------------------------
% 1.13/1.68  % (2975242)------------------------------
% 1.13/1.68  % (2975242)------------------------------
% 1.13/1.68  % (2975244)Refutation found. Thanks to Tanya!
% 1.13/1.68  % SZS status Theorem for theBenchmark
% 1.13/1.68  % SZS output start Proof for theBenchmark
% See solution above
% 5.62/1.93  % (2975244)------------------------------
% 5.62/1.93  % (2975244)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.62/1.93  % (2975244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.62/1.93  % (2975244)CaDiCaL version: 2.1.3
% 5.62/1.93  % (2975244)Termination reason: Refutation
% 5.62/1.93  % (2975244)Time elapsed: 0.022 s
% 5.62/1.93  % (2975244)Peak memory usage: 89 MB
% 5.62/1.93  % (2975244)Instructions burned: 18 (million)
% 5.62/1.93  % (2975244)------------------------------
% 5.62/1.93  % (2975244)------------------------------
% 5.62/1.93  % (2975232)Success in time 0.679 s
% 5.62/1.93  % Vampire exiting
%------------------------------------------------------------------------------