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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWV055+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% 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 : Tue Sep 29 01:08:00 PM UTC 2026

% Result   : Theorem 3.23s 1.02s
% Output   : Refutation 3.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   51 (  10 unt;   1 def)
%            Number of atoms       :  188 (  35 equ)
%            Maximal formula atoms :   13 (   3 avg)
%            Number of connectives :  210 (  73   ~;  71   |;  55   &)
%                                         (   1 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    7 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   2 prp; 0-2 aty)
%            Number of functors    :   20 (  20 usr;  12 con; 0-3 aty)
%            Number of variables   :   64 (  46   !;  18   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [X0] : ~ gt(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',irreflexivity_gt) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( gt(X1,X0)
     => leq(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_gt1) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( leq(X0,pred(X1))
    <=> gt(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_gt_pred) ).

fof(f39,axiom,
    ! [X0] : minus(X0,n1) = pred(X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pred_minus_1) ).

fof(f53,conjecture,
    ( ( leq(n0,pv10)
      & leq(pv10,minus(n135300,n1))
      & ! [X0,X1] :
          ( ( leq(n0,X0)
            & leq(X0,minus(pv10,n1)) )
         => sum(n0,minus(n5,n1),a_select3(q,X0,X1)) = n1 ) )
   => ( leq(n0,pv10)
      & leq(pv10,minus(n135300,n1))
      & ! [X2,X3] :
          ( ( leq(n0,X2)
            & leq(X2,minus(n0,n1)) )
         => a_select3(q,pv10,X2) = divide(sqrt(times(minus(a_select3(center,X2,n0),a_select2(x,pv10)),minus(a_select3(center,X2,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X3,n0),a_select2(x,pv10)),minus(a_select3(center,X3,n0),a_select2(x,pv10)))))) )
      & ! [X4,X5] :
          ( ( leq(n0,X4)
            & leq(X4,minus(pv10,n1)) )
         => sum(n0,minus(n5,n1),a_select3(q,X4,X5)) = n1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_norm_0037) ).

fof(f54,negated_conjecture,
    ~ ( ( leq(n0,pv10)
        & leq(pv10,minus(n135300,n1))
        & ! [X0,X1] :
            ( ( leq(n0,X0)
              & leq(X0,minus(pv10,n1)) )
           => sum(n0,minus(n5,n1),a_select3(q,X0,X1)) = n1 ) )
     => ( leq(n0,pv10)
        & leq(pv10,minus(n135300,n1))
        & ! [X2,X3] :
            ( ( leq(n0,X2)
              & leq(X2,minus(n0,n1)) )
           => a_select3(q,pv10,X2) = divide(sqrt(times(minus(a_select3(center,X2,n0),a_select2(x,pv10)),minus(a_select3(center,X2,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X3,n0),a_select2(x,pv10)),minus(a_select3(center,X3,n0),a_select2(x,pv10)))))) )
        & ! [X4,X5] :
            ( ( leq(n0,X4)
              & leq(X4,minus(pv10,n1)) )
           => sum(n0,minus(n5,n1),a_select3(q,X4,X5)) = n1 ) ) ),
    inference(negated_conjecture,[status(cth)],[f53]) ).

fof(f85,axiom,
    ! [X0] :
      ( ( leq(n0,X0)
        & leq(X0,n0) )
     => X0 = n0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_0) ).

fof(f94,plain,
    ( ( ~ leq(n0,pv10)
      | ~ leq(pv10,minus(n135300,n1))
      | ? [X2,X3] :
          ( a_select3(q,pv10,X2) != divide(sqrt(times(minus(a_select3(center,X2,n0),a_select2(x,pv10)),minus(a_select3(center,X2,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X3,n0),a_select2(x,pv10)),minus(a_select3(center,X3,n0),a_select2(x,pv10))))))
          & leq(n0,X2)
          & leq(X2,minus(n0,n1)) )
      | ? [X4,X5] :
          ( n1 != sum(n0,minus(n5,n1),a_select3(q,X4,X5))
          & leq(n0,X4)
          & leq(X4,minus(pv10,n1)) ) )
    & leq(n0,pv10)
    & leq(pv10,minus(n135300,n1))
    & ! [X0,X1] :
        ( sum(n0,minus(n5,n1),a_select3(q,X0,X1)) = n1
        | ~ leq(n0,X0)
        | ~ leq(X0,minus(pv10,n1)) ) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f95,plain,
    ( ( ~ leq(n0,pv10)
      | ~ leq(pv10,minus(n135300,n1))
      | ? [X2,X3] :
          ( a_select3(q,pv10,X2) != divide(sqrt(times(minus(a_select3(center,X2,n0),a_select2(x,pv10)),minus(a_select3(center,X2,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X3,n0),a_select2(x,pv10)),minus(a_select3(center,X3,n0),a_select2(x,pv10))))))
          & leq(n0,X2)
          & leq(X2,minus(n0,n1)) )
      | ? [X4,X5] :
          ( n1 != sum(n0,minus(n5,n1),a_select3(q,X4,X5))
          & leq(n0,X4)
          & leq(X4,minus(pv10,n1)) ) )
    & leq(n0,pv10)
    & leq(pv10,minus(n135300,n1))
    & ! [X0,X1] :
        ( sum(n0,minus(n5,n1),a_select3(q,X0,X1)) = n1
        | ~ leq(n0,X0)
        | ~ leq(X0,minus(pv10,n1)) ) ),
    inference(flattening,[],[f94]) ).

fof(f96,plain,
    ! [X0] :
      ( X0 = n0
      | ~ leq(n0,X0)
      | ~ leq(X0,n0) ),
    inference(ennf_transformation,[],[f85]) ).

fof(f97,plain,
    ! [X0] :
      ( X0 = n0
      | ~ leq(n0,X0)
      | ~ leq(X0,n0) ),
    inference(flattening,[],[f96]) ).

fof(f100,plain,
    ! [X0,X1] :
      ( leq(X0,X1)
      | ~ gt(X1,X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f118,definition,
    ( ? [X4,X5] :
        ( n1 != sum(n0,minus(n5,n1),a_select3(q,X4,X5))
        & leq(n0,X4)
        & leq(X4,minus(pv10,n1)) )
    | ~ sP0 ),
    introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).

fof(f119,plain,
    ( ( ~ leq(n0,pv10)
      | ~ leq(pv10,minus(n135300,n1))
      | ? [X2,X3] :
          ( a_select3(q,pv10,X2) != divide(sqrt(times(minus(a_select3(center,X2,n0),a_select2(x,pv10)),minus(a_select3(center,X2,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X3,n0),a_select2(x,pv10)),minus(a_select3(center,X3,n0),a_select2(x,pv10))))))
          & leq(n0,X2)
          & leq(X2,minus(n0,n1)) )
      | sP0 )
    & leq(n0,pv10)
    & leq(pv10,minus(n135300,n1))
    & ! [X0,X1] :
        ( sum(n0,minus(n5,n1),a_select3(q,X0,X1)) = n1
        | ~ leq(n0,X0)
        | ~ leq(X0,minus(pv10,n1)) ) ),
    inference(definition_folding,[],[f95,f118]) ).

fof(f120,plain,
    ( ? [X4,X5] :
        ( n1 != sum(n0,minus(n5,n1),a_select3(q,X4,X5))
        & leq(n0,X4)
        & leq(X4,minus(pv10,n1)) )
    | ~ sP0 ),
    inference(nnf_transformation,[],[f118]) ).

fof(f121,plain,
    ( ? [X0,X1] :
        ( n1 != sum(n0,minus(n5,n1),a_select3(q,X0,X1))
        & leq(n0,X0)
        & leq(X0,minus(pv10,n1)) )
    | ~ sP0 ),
    inference(rectify,[],[f120]) ).

fof(f122,plain,
    ( ( n1 != sum(n0,minus(n5,n1),a_select3(q,sK1,sK2))
      & leq(n0,sK1)
      & leq(sK1,minus(pv10,n1)) )
    | ~ sP0 ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X0,sK1),skolemize(X1,sK2)],[f121]) ).

fof(f123,plain,
    ( ( ~ leq(n0,pv10)
      | ~ leq(pv10,minus(n135300,n1))
      | ? [X0,X1] :
          ( a_select3(q,pv10,X0) != divide(sqrt(times(minus(a_select3(center,X0,n0),a_select2(x,pv10)),minus(a_select3(center,X0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X1,n0),a_select2(x,pv10)),minus(a_select3(center,X1,n0),a_select2(x,pv10))))))
          & leq(n0,X0)
          & leq(X0,minus(n0,n1)) )
      | sP0 )
    & leq(n0,pv10)
    & leq(pv10,minus(n135300,n1))
    & ! [X2,X3] :
        ( n1 = sum(n0,minus(n5,n1),a_select3(q,X2,X3))
        | ~ leq(n0,X2)
        | ~ leq(X2,minus(pv10,n1)) ) ),
    inference(rectify,[],[f119]) ).

fof(f124,plain,
    ( ( ~ leq(n0,pv10)
      | ~ leq(pv10,minus(n135300,n1))
      | ( a_select3(q,pv10,sK3) != divide(sqrt(times(minus(a_select3(center,sK3,n0),a_select2(x,pv10)),minus(a_select3(center,sK3,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,sK4,n0),a_select2(x,pv10)),minus(a_select3(center,sK4,n0),a_select2(x,pv10))))))
        & leq(n0,sK3)
        & leq(sK3,minus(n0,n1)) )
      | sP0 )
    & leq(n0,pv10)
    & leq(pv10,minus(n135300,n1))
    & ! [X2,X3] :
        ( n1 = sum(n0,minus(n5,n1),a_select3(q,X2,X3))
        | ~ leq(n0,X2)
        | ~ leq(X2,minus(pv10,n1)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4]),skolemize(X0,sK3),skolemize(X1,sK4)],[f123]) ).

fof(f127,plain,
    ! [X0,X1] :
      ( ( leq(X0,pred(X1))
        | ~ gt(X1,X0) )
      & ( gt(X1,X0)
        | ~ leq(X0,pred(X1)) ) ),
    inference(nnf_transformation,[],[f10]) ).

fof(f128,plain,
    ( leq(sK1,minus(pv10,n1))
    | ~ sP0 ),
    inference(cnf_transformation,[],[f122]) ).

fof(f129,plain,
    ( leq(n0,sK1)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f122]) ).

fof(f130,plain,
    ( n1 != sum(n0,minus(n5,n1),a_select3(q,sK1,sK2))
    | ~ sP0 ),
    inference(cnf_transformation,[],[f122]) ).

fof(f131,plain,
    ! [X2,X3] :
      ( n1 = sum(n0,minus(n5,n1),a_select3(q,X2,X3))
      | ~ leq(n0,X2)
      | ~ leq(X2,minus(pv10,n1)) ),
    inference(cnf_transformation,[],[f124]) ).

fof(f132,plain,
    leq(pv10,minus(n135300,n1)),
    inference(cnf_transformation,[],[f124]) ).

fof(f133,plain,
    leq(n0,pv10),
    inference(cnf_transformation,[],[f124]) ).

fof(f134,plain,
    ( ~ leq(n0,pv10)
    | ~ leq(pv10,minus(n135300,n1))
    | leq(sK3,minus(n0,n1))
    | sP0 ),
    inference(cnf_transformation,[],[f124]) ).

fof(f135,plain,
    ( ~ leq(n0,pv10)
    | ~ leq(pv10,minus(n135300,n1))
    | leq(n0,sK3)
    | sP0 ),
    inference(cnf_transformation,[],[f124]) ).

fof(f137,plain,
    ! [X0] :
      ( ~ leq(n0,X0)
      | n0 = X0
      | ~ leq(X0,n0) ),
    inference(cnf_transformation,[],[f97]) ).

fof(f139,plain,
    ! [X0,X1] :
      ( leq(X0,X1)
      | ~ gt(X1,X0) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f154,plain,
    ! [X0] : minus(X0,n1) = pred(X0),
    inference(cnf_transformation,[],[f39]) ).

fof(f162,plain,
    ! [X0] : ~ gt(X0,X0),
    inference(cnf_transformation,[],[f3]) ).

fof(f196,plain,
    ! [X0,X1] :
      ( gt(X1,X0)
      | ~ leq(X0,pred(X1)) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f201,plain,
    ! [X0,X1] :
      ( ~ leq(X0,minus(X1,n1))
      | gt(X1,X0) ),
    inference(definition_unfolding,[],[f196,f154]) ).

fof(f202,plain,
    ( ~ leq(pv10,minus(n135300,n1))
    | leq(n0,sK3)
    | sP0 ),
    inference(forward_subsumption_resolution,[],[f135,f133]) ).

fof(f203,plain,
    ( leq(n0,sK3)
    | sP0 ),
    inference(forward_subsumption_resolution,[],[f202,f132]) ).

fof(f204,plain,
    ( ~ leq(pv10,minus(n135300,n1))
    | leq(sK3,minus(n0,n1))
    | sP0 ),
    inference(forward_subsumption_resolution,[],[f134,f133]) ).

fof(f205,plain,
    ( leq(sK3,minus(n0,n1))
    | sP0 ),
    inference(forward_subsumption_resolution,[],[f204,f132]) ).

fof(f351,plain,
    ( gt(n0,sK3)
    | sP0 ),
    inference(resolution,[],[f201,f205]) ).

fof(f357,plain,
    ( ~ leq(sK3,n0)
    | n0 = sK3
    | sP0 ),
    inference(resolution,[],[f137,f203]) ).

fof(f376,plain,
    ( n0 = sK3
    | sP0
    | ~ gt(n0,sK3) ),
    inference(resolution,[],[f357,f139]) ).

fof(f377,plain,
    ( n0 = sK3
    | sP0 ),
    inference(forward_subsumption_resolution,[],[f376,f351]) ).

fof(f413,plain,
    ( gt(sK3,sK3)
    | sP0
    | sP0 ),
    inference(superposition,[],[f351,f377]) ).

fof(f416,plain,
    ( gt(sK3,sK3)
    | sP0 ),
    inference(duplicate_literal_removal,[],[f413]) ).

fof(f420,plain,
    sP0,
    inference(forward_subsumption_resolution,[],[f416,f162]) ).

fof(f443,plain,
    n1 != sum(n0,minus(n5,n1),a_select3(q,sK1,sK2)),
    inference(forward_subsumption_resolution,[],[f130,f420]) ).

fof(f445,plain,
    ( n1 != n1
    | ~ leq(n0,sK1)
    | ~ leq(sK1,minus(pv10,n1)) ),
    inference(superposition,[],[f443,f131]) ).

fof(f446,plain,
    ( ~ leq(sK1,minus(pv10,n1))
    | ~ leq(n0,sK1) ),
    inference(trivial_inequality_removal,[],[f445]) ).

fof(f497,plain,
    ( ~ leq(n0,sK1)
    | ~ sP0 ),
    inference(resolution,[],[f446,f128]) ).

fof(f501,plain,
    ~ sP0,
    inference(forward_subsumption_resolution,[],[f497,f129]) ).

fof(f502,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f501,f420]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV055+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18  % Computer : n007.cluster.edu
% 0.08/0.18  % Model    : x86_64 x86_64
% 0.08/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18  % Memory   : 8046.5625MB
% 0.08/0.18  % OS       : Linux 6.8.0-71-generic
% 0.08/0.18  % CPULimit : 300
% 0.08/0.18  % WCLimit  : 300
% 0.08/0.18  % DateTime : Mon Sep 28 09:42:56 UTC 2026
% 0.08/0.18  % CPUTime  : 
% 0.08/0.18  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21  Running first-order theorem proving
% 0.08/0.22  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.48/0.82  % (2283068)Detected formulas, will run a generic FOF schedule.
% 2.48/0.82  % (2283096)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=1705112495:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.48/0.82  % (2283098)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=2341732361:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.48/0.82  % (2283099)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=2077239156:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.48/0.82  % (2283101)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2217160835:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.48/0.82  % (2283104)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2233612605:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.48/0.82  % (2283106)dis-21_1_sil=8000:lcm=predicate:random_seed=1017748894: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)
% 2.48/0.82  % (2283102)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=437638917:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.48/0.82  % (2283102)First to succeed.
% 2.48/0.82  % (2283102)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2283068"
% 2.48/0.82  % (2283101)Instruction limit reached! 
% 2.48/0.82  % (2283101)------------------------------
% 2.48/0.82  % (2283101)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.48/0.82  % (2283101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.82  % (2283101)CaDiCaL version: 2.1.3
% 2.48/0.82  % (2283101)Termination reason: Instruction limit
% 2.48/0.82  % (2283101)Termination phase: Saturation
% 2.48/0.82  % (2283101)Time elapsed: 0.049 s
% 2.48/0.82  % (2283101)Peak memory usage: 88 MB
% 2.48/0.82  % (2283101)Instructions burned: 111 (million)
% 2.48/0.82  % (2283104)Instruction limit reached! 
% 2.48/0.82  % (2283104)------------------------------
% 2.48/0.82  % (2283104)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.48/0.82  % (2283104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.82  % (2283104)CaDiCaL version: 2.1.3
% 2.48/0.82  % (2283104)Termination reason: Instruction limit
% 2.48/0.82  % (2283104)Termination phase: Saturation
% 2.48/0.82  % (2283104)Time elapsed: 0.049 s
% 2.48/0.82  % (2283104)Peak memory usage: 90 MB
% 2.48/0.82  % (2283104)Instructions burned: 140 (million)
% 2.48/0.82  % (2283106)Instruction limit reached! 
% 2.48/0.82  % (2283106)------------------------------
% 2.48/0.82  % (2283106)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.48/0.82  % (2283106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.82  % (2283106)CaDiCaL version: 2.1.3
% 2.48/0.82  % (2283106)Termination reason: Instruction limit
% 2.48/0.82  % (2283106)Termination phase: Saturation
% 2.48/0.82  % (2283106)Time elapsed: 0.064 s
% 2.48/0.82  % (2283106)Peak memory usage: 88 MB
% 2.48/0.82  % (2283106)Instructions burned: 130 (million)
% 2.48/0.82  % (2283149)lrs+10_1_sil=32000:urr=on:br=off:random_seed=980351311:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 2.48/0.82  % (2283149)Instruction limit reached! 
% 2.48/0.82  % (2283149)------------------------------
% 2.48/0.82  % (2283149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.48/0.82  % (2283149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.82  % (2283149)CaDiCaL version: 2.1.3
% 2.48/0.82  % (2283149)Termination reason: Instruction limit
% 2.48/0.82  % (2283149)Termination phase: Saturation
% 2.48/0.82  % (2283149)Time elapsed: 0.035 s
% 2.48/0.82  % (2283149)Peak memory usage: 90 MB
% 2.48/0.82  % (2283149)Instructions burned: 160 (million)
% 2.48/0.82  % (2283148)lrs+10_1_sil=8000:sp=occurrence:random_seed=4228060705:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.48/0.82  % (2283150)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4054221580:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 2.48/0.82  % (2283148)Also succeeded, but the first one will report.
% 2.48/0.82  % (2283152)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3828834535:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 3.23/1.02  % (2283102)Refutation found. Thanks to Tanya!
% 3.23/1.02  % SZS status Theorem for theBenchmark
% 3.23/1.02  % SZS output start Proof for theBenchmark
% See solution above
% 3.23/1.02  % (2283102)------------------------------
% 3.23/1.02  % (2283102)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.23/1.02  % (2283102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/1.02  % (2283102)CaDiCaL version: 2.1.3
% 3.23/1.02  % (2283102)Termination reason: Refutation
% 3.23/1.02  % (2283102)Time elapsed: 0.010 s
% 3.23/1.02  % (2283102)Peak memory usage: 88 MB
% 3.23/1.02  % (2283102)Instructions burned: 15 (million)
% 3.23/1.02  % (2283102)------------------------------
% 3.23/1.02  % (2283102)------------------------------
% 3.23/1.02  % (2283068)Success in time 0.41 s
% 3.23/1.02  % Vampire exiting
%------------------------------------------------------------------------------