↑ Up

Vampire---5.0.1.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : LAT292+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n003.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 11:46:36 AM UTC 2026

% Result   : Theorem 14.46s 4.77s
% Output   : Refutation 14.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   39 (   7 unt;   0 def)
%            Number of atoms       :  224 (   4 equ)
%            Maximal formula atoms :   10 (   5 avg)
%            Number of connectives :  298 ( 113   ~; 122   |;  57   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   7 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-1 aty)
%            Number of variables   :   31 (  27   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f32115,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v10_lattices(X0)
        & v17_lattices(X0)
        & ~ v3_realset2(X0)
        & l3_lattices(X0) )
     => ( v1_pre_topc(k11_lopclset(X0))
        & v2_pre_topc(k11_lopclset(X0))
        & l1_pre_topc(k11_lopclset(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k11_lopclset) ).

fof(f32157,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v10_lattices(X0)
        & v17_lattices(X0)
        & ~ v3_realset2(X0)
        & l3_lattices(X0) )
     => ( ~ v3_struct_0(k11_lopclset(X0))
        & v1_pre_topc(k11_lopclset(X0))
        & v2_pre_topc(k11_lopclset(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_lopclset) ).

fof(f32160,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v10_lattices(X0)
        & v17_lattices(X0)
        & ~ v3_realset2(X0)
        & l3_lattices(X0) )
     => k12_lopclset(X0) = k6_lopclset(k11_lopclset(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_lopclset) ).

fof(f32178,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v10_lattices(X0)
        & v17_lattices(X0)
        & ~ v3_realset2(X0)
        & l3_lattices(X0) )
     => r1_filter_1(X0,k12_lopclset(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t43_lopclset) ).

fof(f32179,conjecture,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v10_lattices(X0)
        & v17_lattices(X0)
        & ~ v3_realset2(X0)
        & l3_lattices(X0) )
     => ? [X1] :
          ( ~ v3_struct_0(X1)
          & v2_pre_topc(X1)
          & l1_pre_topc(X1)
          & r1_filter_1(X0,k6_lopclset(X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t44_lopclset) ).

fof(f32180,negated_conjecture,
    ~ ! [X0] :
        ( ( ~ v3_struct_0(X0)
          & v10_lattices(X0)
          & v17_lattices(X0)
          & ~ v3_realset2(X0)
          & l3_lattices(X0) )
       => ? [X1] :
            ( ~ v3_struct_0(X1)
            & v2_pre_topc(X1)
            & l1_pre_topc(X1)
            & r1_filter_1(X0,k6_lopclset(X1)) ) ),
    inference(negated_conjecture,[status(cth)],[f32179]) ).

fof(f32287,plain,
    ! [X0] :
      ( ( v1_pre_topc(k11_lopclset(X0))
        & v2_pre_topc(k11_lopclset(X0))
        & l1_pre_topc(k11_lopclset(X0)) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ v17_lattices(X0)
      | v3_realset2(X0)
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f32115]) ).

fof(f32288,plain,
    ! [X0] :
      ( ( v1_pre_topc(k11_lopclset(X0))
        & v2_pre_topc(k11_lopclset(X0))
        & l1_pre_topc(k11_lopclset(X0)) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ v17_lattices(X0)
      | v3_realset2(X0)
      | ~ l3_lattices(X0) ),
    inference(flattening,[],[f32287]) ).

fof(f32365,plain,
    ! [X0] :
      ( ( ~ v3_struct_0(k11_lopclset(X0))
        & v1_pre_topc(k11_lopclset(X0))
        & v2_pre_topc(k11_lopclset(X0)) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ v17_lattices(X0)
      | v3_realset2(X0)
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f32157]) ).

fof(f32366,plain,
    ! [X0] :
      ( ( ~ v3_struct_0(k11_lopclset(X0))
        & v1_pre_topc(k11_lopclset(X0))
        & v2_pre_topc(k11_lopclset(X0)) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ v17_lattices(X0)
      | v3_realset2(X0)
      | ~ l3_lattices(X0) ),
    inference(flattening,[],[f32365]) ).

fof(f32371,plain,
    ! [X0] :
      ( k12_lopclset(X0) = k6_lopclset(k11_lopclset(X0))
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ v17_lattices(X0)
      | v3_realset2(X0)
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f32160]) ).

fof(f32372,plain,
    ! [X0] :
      ( k12_lopclset(X0) = k6_lopclset(k11_lopclset(X0))
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ v17_lattices(X0)
      | v3_realset2(X0)
      | ~ l3_lattices(X0) ),
    inference(flattening,[],[f32371]) ).

fof(f32399,plain,
    ! [X0] :
      ( r1_filter_1(X0,k12_lopclset(X0))
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ v17_lattices(X0)
      | v3_realset2(X0)
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f32178]) ).

fof(f32400,plain,
    ! [X0] :
      ( r1_filter_1(X0,k12_lopclset(X0))
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ v17_lattices(X0)
      | v3_realset2(X0)
      | ~ l3_lattices(X0) ),
    inference(flattening,[],[f32399]) ).

fof(f32401,plain,
    ? [X0] :
      ( ! [X1] :
          ( v3_struct_0(X1)
          | ~ v2_pre_topc(X1)
          | ~ l1_pre_topc(X1)
          | ~ r1_filter_1(X0,k6_lopclset(X1)) )
      & ~ v3_struct_0(X0)
      & v10_lattices(X0)
      & v17_lattices(X0)
      & ~ v3_realset2(X0)
      & l3_lattices(X0) ),
    inference(ennf_transformation,[],[f32180]) ).

fof(f32402,plain,
    ? [X0] :
      ( ! [X1] :
          ( v3_struct_0(X1)
          | ~ v2_pre_topc(X1)
          | ~ l1_pre_topc(X1)
          | ~ r1_filter_1(X0,k6_lopclset(X1)) )
      & ~ v3_struct_0(X0)
      & v10_lattices(X0)
      & v17_lattices(X0)
      & ~ v3_realset2(X0)
      & l3_lattices(X0) ),
    inference(flattening,[],[f32401]) ).

fof(f33317,plain,
    ( ! [X1] :
        ( v3_struct_0(X1)
        | ~ v2_pre_topc(X1)
        | ~ l1_pre_topc(X1)
        | ~ r1_filter_1(sK33,k6_lopclset(X1)) )
    & ~ v3_struct_0(sK33)
    & v10_lattices(sK33)
    & v17_lattices(sK33)
    & ~ v3_realset2(sK33)
    & l3_lattices(sK33) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK33]),skolemize(X0,sK33)],[f32402]) ).

fof(f33707,plain,
    ! [X0] :
      ( l1_pre_topc(k11_lopclset(X0))
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ v17_lattices(X0)
      | v3_realset2(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f32288]) ).

fof(f33708,plain,
    ! [X0] :
      ( v2_pre_topc(k11_lopclset(X0))
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ v17_lattices(X0)
      | v3_realset2(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f32288]) ).

fof(f33795,plain,
    ! [X0] :
      ( ~ v3_struct_0(k11_lopclset(X0))
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ v17_lattices(X0)
      | v3_realset2(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f32366]) ).

fof(f33798,plain,
    ! [X0] :
      ( k12_lopclset(X0) = k6_lopclset(k11_lopclset(X0))
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ v17_lattices(X0)
      | v3_realset2(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f32372]) ).

fof(f33820,plain,
    ! [X0] :
      ( r1_filter_1(X0,k12_lopclset(X0))
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ v17_lattices(X0)
      | v3_realset2(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f32400]) ).

fof(f33821,plain,
    l3_lattices(sK33),
    inference(cnf_transformation,[],[f33317]) ).

fof(f33822,plain,
    ~ v3_realset2(sK33),
    inference(cnf_transformation,[],[f33317]) ).

fof(f33823,plain,
    v17_lattices(sK33),
    inference(cnf_transformation,[],[f33317]) ).

fof(f33824,plain,
    v10_lattices(sK33),
    inference(cnf_transformation,[],[f33317]) ).

fof(f33825,plain,
    ~ v3_struct_0(sK33),
    inference(cnf_transformation,[],[f33317]) ).

fof(f33826,plain,
    ! [X1] :
      ( ~ r1_filter_1(sK33,k6_lopclset(X1))
      | ~ v2_pre_topc(X1)
      | ~ l1_pre_topc(X1)
      | v3_struct_0(X1) ),
    inference(cnf_transformation,[],[f33317]) ).

fof(f35413,plain,
    ! [X0] :
      ( ~ r1_filter_1(sK33,k12_lopclset(X0))
      | ~ v2_pre_topc(k11_lopclset(X0))
      | ~ l1_pre_topc(k11_lopclset(X0))
      | v3_struct_0(k11_lopclset(X0))
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ v17_lattices(X0)
      | v3_realset2(X0)
      | ~ l3_lattices(X0) ),
    inference(superposition,[],[f33826,f33798]) ).

fof(f35414,plain,
    ! [X0] :
      ( ~ r1_filter_1(sK33,k12_lopclset(X0))
      | ~ l1_pre_topc(k11_lopclset(X0))
      | v3_struct_0(k11_lopclset(X0))
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ v17_lattices(X0)
      | v3_realset2(X0)
      | ~ l3_lattices(X0) ),
    inference(forward_subsumption_resolution,[],[f35413,f33708]) ).

fof(f35417,plain,
    ! [X0] :
      ( ~ r1_filter_1(sK33,k12_lopclset(X0))
      | v3_struct_0(k11_lopclset(X0))
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ v17_lattices(X0)
      | v3_realset2(X0)
      | ~ l3_lattices(X0) ),
    inference(forward_subsumption_resolution,[],[f35414,f33707]) ).

fof(f35420,plain,
    ! [X0] :
      ( ~ r1_filter_1(sK33,k12_lopclset(X0))
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ v17_lattices(X0)
      | v3_realset2(X0)
      | ~ l3_lattices(X0) ),
    inference(forward_subsumption_resolution,[],[f35417,f33795]) ).

fof(f35441,plain,
    ( v3_struct_0(sK33)
    | ~ v10_lattices(sK33)
    | ~ v17_lattices(sK33)
    | v3_realset2(sK33)
    | ~ l3_lattices(sK33)
    | v3_struct_0(sK33)
    | ~ v10_lattices(sK33)
    | ~ v17_lattices(sK33)
    | v3_realset2(sK33)
    | ~ l3_lattices(sK33) ),
    inference(resolution,[],[f35420,f33820]) ).

fof(f35444,plain,
    ( v3_struct_0(sK33)
    | ~ v10_lattices(sK33)
    | ~ v17_lattices(sK33)
    | v3_realset2(sK33)
    | ~ l3_lattices(sK33) ),
    inference(duplicate_literal_removal,[],[f35441]) ).

fof(f35447,plain,
    ( ~ v10_lattices(sK33)
    | ~ v17_lattices(sK33)
    | v3_realset2(sK33)
    | ~ l3_lattices(sK33) ),
    inference(forward_subsumption_resolution,[],[f35444,f33825]) ).

fof(f35450,plain,
    ( ~ v17_lattices(sK33)
    | v3_realset2(sK33)
    | ~ l3_lattices(sK33) ),
    inference(forward_subsumption_resolution,[],[f35447,f33824]) ).

fof(f35453,plain,
    ( v3_realset2(sK33)
    | ~ l3_lattices(sK33) ),
    inference(forward_subsumption_resolution,[],[f35450,f33823]) ).

fof(f35456,plain,
    ~ l3_lattices(sK33),
    inference(forward_subsumption_resolution,[],[f35453,f33822]) ).

fof(f35459,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f35456,f33821]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : LAT292+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38  % Computer : n003.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Sun Sep 27 14:19:33 UTC 2026
% 0.11/0.39  % CPUTime  : 
% 0.11/0.39  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42  Running first-order theorem proving
% 0.11/0.42  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
% 7.36/4.52  % (578228)Detected formulas, will run a generic FOF schedule.
% 7.36/4.52  % (578234)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=397327833:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2980 on theBenchmark for (2980ds/134677Mi)
% 7.36/4.52  % (578233)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=3076055961:i=141193_2980 on theBenchmark for (2980ds/141193Mi)
% 7.36/4.52  % (578235)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=3489841828:i=141695:sd=1:nm=32:gsp=on:ss=included_2980 on theBenchmark for (2980ds/141695Mi)
% 7.36/4.52  % (578236)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3399357600:i=109:sd=1:ins=1:gsp=on:ss=axioms_2980 on theBenchmark for (2980ds/109Mi)
% 7.36/4.52  % (578238)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2566899187:s2a=on:i=139:gtg=position_2980 on theBenchmark for (2980ds/139Mi)
% 7.36/4.52  % (578239)dis-21_1_sil=8000:lcm=predicate:random_seed=1111957932:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2980 on theBenchmark for (2980ds/129Mi)
% 7.36/4.52  % (578237)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2876242091:i=119:av=off:ss=axioms_2980 on theBenchmark for (2980ds/119Mi)
% 7.36/4.52  % (578238)Instruction limit reached! 
% 7.36/4.52  % (578238)------------------------------
% 7.36/4.52  % (578238)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.36/4.52  % (578238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.36/4.52  % (578238)CaDiCaL version: 2.1.3
% 7.36/4.52  % (578238)Termination reason: Instruction limit
% 7.36/4.52  % (578238)Termination phase: Property scanning
% 7.36/4.52  % (578238)Time elapsed: 0.063 s
% 7.36/4.52  % (578238)Peak memory usage: 131 MB
% 7.36/4.52  % (578238)Instructions burned: 142 (million)
% 7.36/4.52  % (578236)Instruction limit reached! 
% 7.36/4.52  % (578236)------------------------------
% 7.36/4.52  % (578236)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.36/4.52  % (578236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.36/4.52  % (578236)CaDiCaL version: 2.1.3
% 7.36/4.52  % (578236)Termination reason: Instruction limit
% 7.36/4.52  % (578236)Termination phase: SInE selection
% 7.36/4.52  % (578236)Time elapsed: 0.081 s
% 7.36/4.52  % (578236)Peak memory usage: 131 MB
% 7.36/4.52  % (578236)Instructions burned: 110 (million)
% 7.36/4.52  % (578237)Instruction limit reached! 
% 7.36/4.52  % (578237)------------------------------
% 7.36/4.52  % (578237)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.36/4.52  % (578237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.36/4.52  % (578237)CaDiCaL version: 2.1.3
% 7.36/4.52  % (578237)Termination reason: Instruction limit
% 7.36/4.52  % (578237)Termination phase: SInE selection
% 7.36/4.52  % (578237)Time elapsed: 0.083 s
% 7.36/4.52  % (578237)Peak memory usage: 131 MB
% 7.36/4.52  % (578237)Instructions burned: 120 (million)
% 7.36/4.52  % (578239)Instruction limit reached! 
% 7.36/4.52  % (578239)------------------------------
% 7.36/4.52  % (578239)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.36/4.52  % (578239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.36/4.52  % (578239)CaDiCaL version: 2.1.3
% 7.36/4.52  % (578239)Termination reason: Instruction limit
% 7.36/4.52  % (578239)Termination phase: SInE selection
% 7.36/4.52  % (578239)Time elapsed: 0.088 s
% 7.36/4.52  % (578239)Peak memory usage: 131 MB
% 7.36/4.52  % (578239)Instructions burned: 131 (million)
% 7.36/4.52  % (578247)lrs+10_1_sil=8000:sp=occurrence:random_seed=2486704224:i=285:sd=3:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/285Mi)
% 7.36/4.52  % (578248)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2143573162:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/157Mi)
% 7.36/4.52  % (578249)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1070839900:i=325:sd=1:ss=axioms:sgt=32_2977 on theBenchmark for (2977ds/325Mi)
% 7.36/4.52  % (578250)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=3639230191:s2a=on:i=248:s2at=1.23:gtg=position_2977 on theBenchmark for (2977ds/248Mi)
% 7.36/4.52  % (578248)Instruction limit reached! 
% 7.36/4.52  % (578248)------------------------------
% 7.36/4.52  % (578248)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.36/4.52  % (578248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.36/4.52  % (578248)CaDiCaL version: 2.1.3
% 7.36/4.52  % (578248)Termination reason: Instruction limit
% 7.36/4.52  % (578248)Termination phase: Property scanning
% 7.36/4.52  % (578248)Time elapsed: 0.070 s
% 7.36/4.52  % (578248)Peak memory usage: 132 MB
% 7.36/4.52  % (578248)Instructions burned: 158 (million)
% 7.36/4.52  % (578250)Instruction limit reached! 
% 7.36/4.52  % (578250)------------------------------
% 7.36/4.52  % (578250)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.36/4.52  % (578250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.36/4.52  % (578250)CaDiCaL version: 2.1.3
% 7.36/4.52  % (578250)Termination reason: Instruction limit
% 7.36/4.52  % (578250)Termination phase: Property scanning
% 7.36/4.52  % (578250)Time elapsed: 0.108 s
% 7.36/4.52  % (578250)Peak memory usage: 132 MB
% 7.36/4.52  % (578250)Instructions burned: 249 (million)
% 7.36/4.52  % (578249)Refutation not found, incomplete strategy
% 7.36/4.52  % (578249)------------------------------
% 7.36/4.52  % (578249)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.36/4.52  % (578249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.36/4.52  % (578249)CaDiCaL version: 2.1.3
% 7.36/4.52  % (578249)Termination reason: Refutation not found, incomplete strategy
% 7.36/4.52  % (578249)Time elapsed: 0.177 s
% 7.36/4.52  % (578249)Peak memory usage: 137 MB
% 7.36/4.52  % (578249)Instructions burned: 219 (million)
% 7.36/4.52  % (578255)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=553516667:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2975 on theBenchmark for (2975ds/294Mi)
% 7.36/4.52  % (578247)Instruction limit reached! 
% 7.36/4.52  % (578247)------------------------------
% 7.36/4.52  % (578247)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.36/4.52  % (578247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.36/4.52  % (578247)CaDiCaL version: 2.1.3
% 7.36/4.52  % (578247)Termination reason: Instruction limit
% 7.36/4.52  % (578247)Termination phase: Saturation
% 7.36/4.52  % (578247)Time elapsed: 0.216 s
% 7.36/4.52  % (578247)Peak memory usage: 137 MB
% 7.36/4.52  % (578247)Instructions burned: 286 (million)
% 7.36/4.52  % (578256)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1604331991:i=2350_2975 on theBenchmark for (2975ds/2350Mi)
% 7.36/4.52  % (578258)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2194469950:cts=off:i=113:fsr=off:ss=included:sgt=4_2974 on theBenchmark for (2974ds/113Mi)
% 7.36/4.52  % (578255)Instruction limit reached! 
% 7.36/4.52  % (578255)------------------------------
% 7.36/4.52  % (578255)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.36/4.52  % (578255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.36/4.52  % (578255)CaDiCaL version: 2.1.3
% 7.36/4.52  % (578255)Termination reason: Instruction limit
% 7.36/4.52  % (578255)Termination phase: SInE selection
% 7.36/4.52  % (578255)Time elapsed: 0.181 s
% 7.36/4.52  % (578255)Peak memory usage: 132 MB
% 7.36/4.52  % (578255)Instructions burned: 294 (million)
% 7.36/4.52  % (578258)Instruction limit reached! 
% 7.36/4.52  % (578258)------------------------------
% 7.36/4.52  % (578258)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.36/4.52  % (578258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.36/4.52  % (578258)CaDiCaL version: 2.1.3
% 7.36/4.52  % (578258)Termination reason: Instruction limit
% 7.36/4.52  % (578258)Termination phase: SInE selection
% 7.36/4.52  % (578258)Time elapsed: 0.085 s
% 7.36/4.52  % (578258)Peak memory usage: 131 MB
% 7.36/4.52  % (578258)Instructions burned: 113 (million)
% 7.36/4.52  % (578249)------------------------------
% 7.36/4.52  % (578249)------------------------------
% 7.36/4.52  % (578261)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2768327405:i=127:av=off:fsr=off:sup=off_2972 on theBenchmark for (2972ds/127Mi)
% 7.36/4.52  % (578262)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3280026530:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2971 on theBenchmark for (2971ds/114Mi)
% 7.36/4.52  % (578263)lrs+10_1_sil=8000:sp=occurrence:random_seed=4192574536:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2971 on theBenchmark for (2971ds/907Mi)
% 7.36/4.52  % (578262)Instruction limit reached! 
% 14.46/4.77  % (578262)------------------------------
% 14.46/4.77  % (578262)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.46/4.77  % (578262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.46/4.77  % (578262)CaDiCaL version: 2.1.3
% 14.46/4.77  % (578262)Termination reason: Instruction limit
% 14.46/4.77  % (578262)Termination phase: Property scanning
% 14.46/4.77  % (578262)Time elapsed: 0.051 s
% 14.46/4.77  % (578262)Peak memory usage: 132 MB
% 14.46/4.77  % (578262)Instructions burned: 116 (million)
% 14.46/4.77  % (578261)Instruction limit reached! 
% 14.46/4.77  % (578261)------------------------------
% 14.46/4.77  % (578261)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.46/4.77  % (578261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.46/4.77  % (578261)CaDiCaL version: 2.1.3
% 14.46/4.77  % (578261)Termination reason: Instruction limit
% 14.46/4.77  % (578261)Termination phase: Preprocessing 1
% 14.46/4.77  % (578261)Time elapsed: 0.095 s
% 14.46/4.77  % (578261)Peak memory usage: 133 MB
% 14.46/4.77  % (578261)Instructions burned: 127 (million)
% 14.46/4.77  % (578267)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2419142348:i=437:sd=1:aac=none:ss=included_2970 on theBenchmark for (2970ds/437Mi)
% 14.46/4.77  % (578268)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=572466347:i=5202:ss=axioms:sgt=16_2970 on theBenchmark for (2970ds/5202Mi)
% 14.46/4.77  % (578267)First to succeed.
% 14.46/4.77  % (578267)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-578228"
% 14.46/4.77  % (578263)Instruction limit reached! 
% 14.46/4.77  % (578263)------------------------------
% 14.46/4.77  % (578263)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.46/4.77  % (578263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.46/4.77  % (578263)CaDiCaL version: 2.1.3
% 14.46/4.77  % (578263)Termination reason: Instruction limit
% 14.46/4.77  % (578263)Termination phase: Property scanning
% 14.46/4.77  % (578263)Time elapsed: 0.604 s
% 14.46/4.77  % (578263)Peak memory usage: 156 MB
% 14.46/4.77  % (578263)Instructions burned: 909 (million)
% 14.46/4.77  % (578267)Refutation found. Thanks to Tanya!
% 14.46/4.77  % SZS status Theorem for theBenchmark
% 14.46/4.77  % SZS output start Proof for theBenchmark
% See solution above
% 14.46/4.77  % (578267)------------------------------
% 14.46/4.77  % (578267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.46/4.77  % (578267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.46/4.77  % (578267)CaDiCaL version: 2.1.3
% 14.46/4.77  % (578267)Termination reason: Refutation
% 14.46/4.77  % (578267)Time elapsed: 0.236 s
% 14.46/4.77  % (578267)Peak memory usage: 139 MB
% 14.46/4.77  % (578267)Instructions burned: 326 (million)
% 14.46/4.77  % (578267)------------------------------
% 14.46/4.77  % (578267)------------------------------
% 14.46/4.77  % (578228)Success in time 3.666 s
% 14.46/4.77  % Vampire exiting
%------------------------------------------------------------------------------