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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SEU411+3 : 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 : n018.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 12:48:48 PM UTC 2026

% Result   : Theorem 15.74s 4.55s
% Output   : Refutation 15.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   35 (  13 unt;   0 def)
%            Number of atoms       :  196 (   0 equ)
%            Maximal formula atoms :   19 (   5 avg)
%            Number of connectives :  232 (  71   ~;  55   |;  95   &)
%                                         (   2 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   7 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   14 (  13 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-2 aty)
%            Number of variables   :   42 (  36   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,axiom,
    ! [X0,X1] :
      ( r1_tarski(X0,X1)
    <=> ! [X2] :
          ( r2_hidden(X2,X0)
         => r2_hidden(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).

fof(f86,axiom,
    ! [X0,X1] : r1_tarski(k3_xboole_0(X0,X1),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_xboole_1) ).

fof(f16772,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v4_orders_2(X0)
        & v1_yellow_0(X0)
        & l1_orders_2(X0) )
     => ! [X1] :
          ( ( ~ v1_xboole_0(X1)
            & v12_waybel_0(X1,X0)
            & m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
         => r2_hidden(k3_yellow_0(X0),X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_waybel12) ).

fof(f19046,conjecture,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v2_orders_2(X0)
        & v3_orders_2(X0)
        & v4_orders_2(X0)
        & v1_yellow_0(X0)
        & v1_lattice3(X0)
        & l1_orders_2(X0) )
     => ! [X1] :
          ( ( ~ v3_struct_0(X1)
            & v2_orders_2(X1)
            & v3_orders_2(X1)
            & v4_orders_2(X1)
            & v1_yellow_0(X1)
            & v1_lattice3(X1)
            & l1_orders_2(X1) )
         => ( ( ~ v1_xboole_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)))
              & v1_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
              & v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
              & m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1))) )
           => r2_hidden(k3_yellow_0(X1),u1_struct_0(X0)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_latsum_1) ).

fof(f19047,negated_conjecture,
    ~ ! [X0] :
        ( ( ~ v3_struct_0(X0)
          & v2_orders_2(X0)
          & v3_orders_2(X0)
          & v4_orders_2(X0)
          & v1_yellow_0(X0)
          & v1_lattice3(X0)
          & l1_orders_2(X0) )
       => ! [X1] :
            ( ( ~ v3_struct_0(X1)
              & v2_orders_2(X1)
              & v3_orders_2(X1)
              & v4_orders_2(X1)
              & v1_yellow_0(X1)
              & v1_lattice3(X1)
              & l1_orders_2(X1) )
           => ( ( ~ v1_xboole_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)))
                & v1_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
                & v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
                & m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1))) )
             => r2_hidden(k3_yellow_0(X1),u1_struct_0(X0)) ) ) ),
    inference(negated_conjecture,[status(cth)],[f19046]) ).

fof(f19111,plain,
    ? [X0] :
      ( ? [X1] :
          ( ~ r2_hidden(k3_yellow_0(X1),u1_struct_0(X0))
          & ~ v1_xboole_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)))
          & v1_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
          & v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
          & m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
          & ~ v3_struct_0(X1)
          & v2_orders_2(X1)
          & v3_orders_2(X1)
          & v4_orders_2(X1)
          & v1_yellow_0(X1)
          & v1_lattice3(X1)
          & l1_orders_2(X1) )
      & ~ v3_struct_0(X0)
      & v2_orders_2(X0)
      & v3_orders_2(X0)
      & v4_orders_2(X0)
      & v1_yellow_0(X0)
      & v1_lattice3(X0)
      & l1_orders_2(X0) ),
    inference(ennf_transformation,[],[f19047]) ).

fof(f19112,plain,
    ? [X0] :
      ( ? [X1] :
          ( ~ r2_hidden(k3_yellow_0(X1),u1_struct_0(X0))
          & ~ v1_xboole_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)))
          & v1_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
          & v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
          & m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
          & ~ v3_struct_0(X1)
          & v2_orders_2(X1)
          & v3_orders_2(X1)
          & v4_orders_2(X1)
          & v1_yellow_0(X1)
          & v1_lattice3(X1)
          & l1_orders_2(X1) )
      & ~ v3_struct_0(X0)
      & v2_orders_2(X0)
      & v3_orders_2(X0)
      & v4_orders_2(X0)
      & v1_yellow_0(X0)
      & v1_lattice3(X0)
      & l1_orders_2(X0) ),
    inference(flattening,[],[f19111]) ).

fof(f19305,plain,
    ! [X0,X1] :
      ( r1_tarski(X0,X1)
    <=> ! [X2] :
          ( r2_hidden(X2,X1)
          | ~ r2_hidden(X2,X0) ) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f19410,plain,
    ! [X0] :
      ( ! [X1] :
          ( r2_hidden(k3_yellow_0(X0),X1)
          | v1_xboole_0(X1)
          | ~ v12_waybel_0(X1,X0)
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
      | v3_struct_0(X0)
      | ~ v4_orders_2(X0)
      | ~ v1_yellow_0(X0)
      | ~ l1_orders_2(X0) ),
    inference(ennf_transformation,[],[f16772]) ).

fof(f19411,plain,
    ! [X0] :
      ( ! [X1] :
          ( r2_hidden(k3_yellow_0(X0),X1)
          | v1_xboole_0(X1)
          | ~ v12_waybel_0(X1,X0)
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
      | v3_struct_0(X0)
      | ~ v4_orders_2(X0)
      | ~ v1_yellow_0(X0)
      | ~ l1_orders_2(X0) ),
    inference(flattening,[],[f19410]) ).

fof(f19457,plain,
    ( ~ r2_hidden(k3_yellow_0(sK12),u1_struct_0(sK11))
    & ~ v1_xboole_0(k3_xboole_0(u1_struct_0(sK11),u1_struct_0(sK12)))
    & v1_waybel_0(k3_xboole_0(u1_struct_0(sK11),u1_struct_0(sK12)),sK12)
    & v12_waybel_0(k3_xboole_0(u1_struct_0(sK11),u1_struct_0(sK12)),sK12)
    & m1_subset_1(k3_xboole_0(u1_struct_0(sK11),u1_struct_0(sK12)),k1_zfmisc_1(u1_struct_0(sK12)))
    & ~ v3_struct_0(sK12)
    & v2_orders_2(sK12)
    & v3_orders_2(sK12)
    & v4_orders_2(sK12)
    & v1_yellow_0(sK12)
    & v1_lattice3(sK12)
    & l1_orders_2(sK12)
    & ~ v3_struct_0(sK11)
    & v2_orders_2(sK11)
    & v3_orders_2(sK11)
    & v4_orders_2(sK11)
    & v1_yellow_0(sK11)
    & v1_lattice3(sK11)
    & l1_orders_2(sK11) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12]),skolemize(X0,sK11),skolemize(X1,sK12)],[f19112]) ).

fof(f19575,plain,
    ! [X0,X1] :
      ( ( r1_tarski(X0,X1)
        | ? [X2] :
            ( ~ r2_hidden(X2,X1)
            & r2_hidden(X2,X0) ) )
      & ( ! [X2] :
            ( r2_hidden(X2,X1)
            | ~ r2_hidden(X2,X0) )
        | ~ r1_tarski(X0,X1) ) ),
    inference(nnf_transformation,[],[f19305]) ).

fof(f19576,plain,
    ! [X0,X1] :
      ( ( r1_tarski(X0,X1)
        | ? [X2] :
            ( ~ r2_hidden(X2,X1)
            & r2_hidden(X2,X0) ) )
      & ( ! [X3] :
            ( r2_hidden(X3,X1)
            | ~ r2_hidden(X3,X0) )
        | ~ r1_tarski(X0,X1) ) ),
    inference(rectify,[],[f19575]) ).

fof(f19577,plain,
    ! [X0,X1] :
      ( ( r1_tarski(X0,X1)
        | ( ~ r2_hidden(sK101(X0,X1),X1)
          & r2_hidden(sK101(X0,X1),X0) ) )
      & ( ! [X3] :
            ( r2_hidden(X3,X1)
            | ~ r2_hidden(X3,X0) )
        | ~ r1_tarski(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK101]),skolemize(X2,sK101(X0,X1))],[f19576]) ).

fof(f19697,plain,
    l1_orders_2(sK12),
    inference(cnf_transformation,[],[f19457]) ).

fof(f19699,plain,
    v1_yellow_0(sK12),
    inference(cnf_transformation,[],[f19457]) ).

fof(f19700,plain,
    v4_orders_2(sK12),
    inference(cnf_transformation,[],[f19457]) ).

fof(f19703,plain,
    ~ v3_struct_0(sK12),
    inference(cnf_transformation,[],[f19457]) ).

fof(f19704,plain,
    m1_subset_1(k3_xboole_0(u1_struct_0(sK11),u1_struct_0(sK12)),k1_zfmisc_1(u1_struct_0(sK12))),
    inference(cnf_transformation,[],[f19457]) ).

fof(f19705,plain,
    v12_waybel_0(k3_xboole_0(u1_struct_0(sK11),u1_struct_0(sK12)),sK12),
    inference(cnf_transformation,[],[f19457]) ).

fof(f19707,plain,
    ~ v1_xboole_0(k3_xboole_0(u1_struct_0(sK11),u1_struct_0(sK12))),
    inference(cnf_transformation,[],[f19457]) ).

fof(f19708,plain,
    ~ r2_hidden(k3_yellow_0(sK12),u1_struct_0(sK11)),
    inference(cnf_transformation,[],[f19457]) ).

fof(f20060,plain,
    ! [X0,X1] : r1_tarski(k3_xboole_0(X0,X1),X0),
    inference(cnf_transformation,[],[f86]) ).

fof(f20119,plain,
    ! [X3,X0,X1] :
      ( r2_hidden(X3,X1)
      | ~ r2_hidden(X3,X0)
      | ~ r1_tarski(X0,X1) ),
    inference(cnf_transformation,[],[f19577]) ).

fof(f20301,plain,
    ! [X0,X1] :
      ( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | v1_xboole_0(X1)
      | ~ v12_waybel_0(X1,X0)
      | r2_hidden(k3_yellow_0(X0),X1)
      | v3_struct_0(X0)
      | ~ v4_orders_2(X0)
      | ~ v1_yellow_0(X0)
      | ~ l1_orders_2(X0) ),
    inference(cnf_transformation,[],[f19411]) ).

fof(f20387,plain,
    ! [X0] :
      ( ~ r1_tarski(X0,u1_struct_0(sK11))
      | ~ r2_hidden(k3_yellow_0(sK12),X0) ),
    inference(resolution,[],[f19708,f20119]) ).

fof(f20427,plain,
    ( v1_xboole_0(k3_xboole_0(u1_struct_0(sK11),u1_struct_0(sK12)))
    | ~ v12_waybel_0(k3_xboole_0(u1_struct_0(sK11),u1_struct_0(sK12)),sK12)
    | r2_hidden(k3_yellow_0(sK12),k3_xboole_0(u1_struct_0(sK11),u1_struct_0(sK12)))
    | v3_struct_0(sK12)
    | ~ v4_orders_2(sK12)
    | ~ v1_yellow_0(sK12)
    | ~ l1_orders_2(sK12) ),
    inference(resolution,[],[f19704,f20301]) ).

fof(f20442,plain,
    ( ~ v12_waybel_0(k3_xboole_0(u1_struct_0(sK11),u1_struct_0(sK12)),sK12)
    | r2_hidden(k3_yellow_0(sK12),k3_xboole_0(u1_struct_0(sK11),u1_struct_0(sK12)))
    | v3_struct_0(sK12)
    | ~ v4_orders_2(sK12)
    | ~ v1_yellow_0(sK12)
    | ~ l1_orders_2(sK12) ),
    inference(forward_subsumption_resolution,[],[f20427,f19707]) ).

fof(f20449,plain,
    ( r2_hidden(k3_yellow_0(sK12),k3_xboole_0(u1_struct_0(sK11),u1_struct_0(sK12)))
    | v3_struct_0(sK12)
    | ~ v4_orders_2(sK12)
    | ~ v1_yellow_0(sK12)
    | ~ l1_orders_2(sK12) ),
    inference(forward_subsumption_resolution,[],[f20442,f19705]) ).

fof(f20465,plain,
    ( r2_hidden(k3_yellow_0(sK12),k3_xboole_0(u1_struct_0(sK11),u1_struct_0(sK12)))
    | ~ v4_orders_2(sK12)
    | ~ v1_yellow_0(sK12)
    | ~ l1_orders_2(sK12) ),
    inference(forward_subsumption_resolution,[],[f20449,f19703]) ).

fof(f20468,plain,
    ( r2_hidden(k3_yellow_0(sK12),k3_xboole_0(u1_struct_0(sK11),u1_struct_0(sK12)))
    | ~ v1_yellow_0(sK12)
    | ~ l1_orders_2(sK12) ),
    inference(forward_subsumption_resolution,[],[f20465,f19700]) ).

fof(f20471,plain,
    ( r2_hidden(k3_yellow_0(sK12),k3_xboole_0(u1_struct_0(sK11),u1_struct_0(sK12)))
    | ~ l1_orders_2(sK12) ),
    inference(forward_subsumption_resolution,[],[f20468,f19699]) ).

fof(f20474,plain,
    r2_hidden(k3_yellow_0(sK12),k3_xboole_0(u1_struct_0(sK11),u1_struct_0(sK12))),
    inference(forward_subsumption_resolution,[],[f20471,f19697]) ).

fof(f20507,plain,
    ! [X0] : ~ r2_hidden(k3_yellow_0(sK12),k3_xboole_0(u1_struct_0(sK11),X0)),
    inference(resolution,[],[f20387,f20060]) ).

fof(f20555,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f20474,f20507]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : SEU411+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.45  % Computer : n018.cluster.edu
% 0.19/0.45  % Model    : x86_64 x86_64
% 0.19/0.45  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45  % Memory   : 8046.5625MB
% 0.19/0.45  % OS       : Linux 6.8.0-71-generic
% 0.19/0.45  % CPULimit : 300
% 0.19/0.45  % WCLimit  : 300
% 0.19/0.45  % DateTime : Mon Sep 28 05:15:26 UTC 2026
% 0.19/0.45  % CPUTime  : 
% 0.19/0.45  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.51  Running first-order theorem proving
% 0.23/0.51  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
% 15.26/4.36  % (3022538)Detected formulas, will run a generic FOF schedule.
% 15.26/4.36  % (3022547)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1441580951:i=119:av=off:ss=axioms_2985 on theBenchmark for (2985ds/119Mi)
% 15.26/4.36  % (3022543)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=1650655893:i=141193_2985 on theBenchmark for (2985ds/141193Mi)
% 15.26/4.36  % (3022544)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=2754595516:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2985 on theBenchmark for (2985ds/134677Mi)
% 15.26/4.36  % (3022545)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=2397347413:i=141695:sd=1:nm=32:gsp=on:ss=included_2985 on theBenchmark for (2985ds/141695Mi)
% 15.26/4.36  % (3022548)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2427679658:s2a=on:i=139:gtg=position_2985 on theBenchmark for (2985ds/139Mi)
% 15.26/4.36  % (3022546)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1741342921:i=109:sd=1:ins=1:gsp=on:ss=axioms_2985 on theBenchmark for (2985ds/109Mi)
% 15.26/4.36  % (3022549)dis-21_1_sil=8000:lcm=predicate:random_seed=3613500919:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2985 on theBenchmark for (2985ds/129Mi)
% 15.26/4.36  % (3022547)Instruction limit reached! 
% 15.26/4.36  % (3022547)------------------------------
% 15.26/4.36  % (3022547)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.26/4.36  % (3022547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.26/4.36  % (3022547)CaDiCaL version: 2.1.3
% 15.26/4.36  % (3022547)Termination reason: Instruction limit
% 15.26/4.36  % (3022547)Termination phase: Preprocessing 1
% 15.26/4.36  % (3022547)Time elapsed: 0.086 s
% 15.26/4.36  % (3022547)Peak memory usage: 113 MB
% 15.26/4.36  % (3022547)Instructions burned: 119 (million)
% 15.26/4.36  % (3022548)Instruction limit reached! 
% 15.26/4.36  % (3022548)------------------------------
% 15.26/4.36  % (3022548)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.26/4.36  % (3022548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.26/4.36  % (3022548)CaDiCaL version: 2.1.3
% 15.26/4.36  % (3022548)Termination reason: Instruction limit
% 15.26/4.36  % (3022548)Termination phase: Property scanning
% 15.26/4.36  % (3022548)Time elapsed: 0.115 s
% 15.26/4.36  % (3022548)Peak memory usage: 112 MB
% 15.26/4.36  % (3022548)Instructions burned: 139 (million)
% 15.26/4.36  % (3022546)Instruction limit reached! 
% 15.26/4.36  % (3022546)------------------------------
% 15.26/4.36  % (3022546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.26/4.36  % (3022546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.26/4.36  % (3022546)CaDiCaL version: 2.1.3
% 15.26/4.36  % (3022546)Termination reason: Instruction limit
% 15.26/4.36  % (3022546)Termination phase: SInE selection
% 15.26/4.36  % (3022546)Time elapsed: 0.125 s
% 15.26/4.36  % (3022546)Peak memory usage: 112 MB
% 15.26/4.36  % (3022546)Instructions burned: 111 (million)
% 15.26/4.36  % (3022549)Instruction limit reached! 
% 15.26/4.36  % (3022549)------------------------------
% 15.26/4.36  % (3022549)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.26/4.36  % (3022549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.26/4.36  % (3022549)CaDiCaL version: 2.1.3
% 15.26/4.36  % (3022549)Termination reason: Instruction limit
% 15.26/4.36  % (3022549)Termination phase: SInE selection
% 15.26/4.36  % (3022549)Time elapsed: 0.131 s
% 15.26/4.36  % (3022549)Peak memory usage: 113 MB
% 15.26/4.36  % (3022549)Instructions burned: 129 (million)
% 15.26/4.36  % (3022559)lrs+10_1_sil=8000:sp=occurrence:random_seed=1328612724:i=285:sd=3:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/285Mi)
% 15.26/4.36  % (3022564)lrs+10_1_sil=32000:urr=on:br=off:random_seed=212567678:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/157Mi)
% 15.26/4.36  % (3022564)Instruction limit reached! 
% 15.26/4.36  % (3022564)------------------------------
% 15.26/4.36  % (3022564)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.26/4.36  % (3022564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.26/4.36  % (3022564)CaDiCaL version: 2.1.3
% 15.26/4.36  % (3022564)Termination reason: Instruction limit
% 15.26/4.36  % (3022564)Termination phase: Property scanning
% 15.26/4.36  % (3022564)Time elapsed: 0.073 s
% 15.26/4.36  % (3022564)Peak memory usage: 112 MB
% 15.26/4.36  % (3022564)Instructions burned: 159 (million)
% 15.26/4.36  % (3022565)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4040877710:i=325:sd=1:ss=axioms:sgt=32_2981 on theBenchmark for (2981ds/325Mi)
% 15.26/4.36  % (3022566)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=2813854254:s2a=on:i=248:s2at=1.23:gtg=position_2981 on theBenchmark for (2981ds/248Mi)
% 15.26/4.36  % (3022559)Instruction limit reached! 
% 15.26/4.36  % (3022559)------------------------------
% 15.26/4.36  % (3022559)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.26/4.36  % (3022559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.26/4.36  % (3022559)CaDiCaL version: 2.1.3
% 15.26/4.36  % (3022559)Termination reason: Instruction limit
% 15.26/4.36  % (3022559)Termination phase: Saturation
% 15.26/4.36  % (3022559)Time elapsed: 0.318 s
% 15.26/4.36  % (3022559)Peak memory usage: 119 MB
% 15.26/4.36  % (3022559)Instructions burned: 285 (million)
% 15.26/4.36  % (3022569)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1855137267:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2979 on theBenchmark for (2979ds/294Mi)
% 15.26/4.36  % (3022566)Instruction limit reached! 
% 15.26/4.36  % (3022566)------------------------------
% 15.26/4.36  % (3022566)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.26/4.36  % (3022566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.26/4.36  % (3022566)CaDiCaL version: 2.1.3
% 15.26/4.36  % (3022566)Termination reason: Instruction limit
% 15.26/4.36  % (3022566)Termination phase: Property scanning
% 15.26/4.36  % (3022566)Time elapsed: 0.206 s
% 15.26/4.36  % (3022566)Peak memory usage: 112 MB
% 15.26/4.36  % (3022566)Instructions burned: 249 (million)
% 15.26/4.36  % (3022565)Instruction limit reached! 
% 15.26/4.36  % (3022565)------------------------------
% 15.26/4.36  % (3022565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.26/4.36  % (3022565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.26/4.36  % (3022565)CaDiCaL version: 2.1.3
% 15.26/4.36  % (3022565)Termination reason: Instruction limit
% 15.26/4.36  % (3022565)Termination phase: Saturation
% 15.26/4.36  % (3022565)Time elapsed: 0.339 s
% 15.26/4.36  % (3022565)Peak memory usage: 119 MB
% 15.26/4.36  % (3022565)Instructions burned: 325 (million)
% 15.26/4.36  % (3022569)Instruction limit reached! 
% 15.26/4.36  % (3022569)------------------------------
% 15.26/4.36  % (3022569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.26/4.36  % (3022569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.26/4.36  % (3022569)CaDiCaL version: 2.1.3
% 15.26/4.36  % (3022569)Termination reason: Instruction limit
% 15.26/4.36  % (3022569)Termination phase: Preprocessing 3
% 15.26/4.36  % (3022569)Time elapsed: 0.193 s
% 15.26/4.36  % (3022569)Peak memory usage: 119 MB
% 15.26/4.36  % (3022569)Instructions burned: 295 (million)
% 15.26/4.36  % (3022572)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3414574822:i=2350_2977 on theBenchmark for (2977ds/2350Mi)
% 15.26/4.36  % (3022574)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1236741828:cts=off:i=113:fsr=off:ss=included:sgt=4_2976 on theBenchmark for (2976ds/113Mi)
% 15.26/4.36  % (3022574)Instruction limit reached! 
% 15.26/4.36  % (3022574)------------------------------
% 15.26/4.36  % (3022574)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.26/4.36  % (3022574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.26/4.36  % (3022574)CaDiCaL version: 2.1.3
% 15.26/4.36  % (3022574)Termination reason: Instruction limit
% 15.26/4.36  % (3022574)Termination phase: SInE selection
% 15.26/4.36  % (3022574)Time elapsed: 0.136 s
% 15.26/4.36  % (3022574)Peak memory usage: 112 MB
% 15.26/4.36  % (3022574)Instructions burned: 113 (million)
% 15.26/4.36  % (3022576)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3909116384:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2975 on theBenchmark for (2975ds/114Mi)
% 15.26/4.36  % (3022575)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=128021283:i=127:av=off:fsr=off:sup=off_2975 on theBenchmark for (2975ds/127Mi)
% 15.26/4.36  % (3022576)Instruction limit reached! 
% 15.26/4.36  % (3022576)------------------------------
% 15.26/4.36  % (3022576)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.74/4.55  % (3022576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.74/4.55  % (3022576)CaDiCaL version: 2.1.3
% 15.74/4.55  % (3022576)Termination reason: Instruction limit
% 15.74/4.55  % (3022576)Termination phase: Property scanning
% 15.74/4.55  % (3022576)Time elapsed: 0.053 s
% 15.74/4.55  % (3022576)Peak memory usage: 112 MB
% 15.74/4.55  % (3022576)Instructions burned: 114 (million)
% 15.74/4.55  % (3022575)Instruction limit reached! 
% 15.74/4.55  % (3022575)------------------------------
% 15.74/4.55  % (3022575)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.74/4.55  % (3022575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.74/4.55  % (3022575)CaDiCaL version: 2.1.3
% 15.74/4.55  % (3022575)Termination reason: Instruction limit
% 15.74/4.55  % (3022575)Termination phase: Preprocessing 1
% 15.74/4.55  % (3022575)Time elapsed: 0.145 s
% 15.74/4.55  % (3022575)Peak memory usage: 113 MB
% 15.74/4.55  % (3022575)Instructions burned: 127 (million)
% 15.74/4.55  % (3022579)lrs+10_1_sil=8000:sp=occurrence:random_seed=1586152828:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2973 on theBenchmark for (2973ds/907Mi)
% 15.74/4.55  % (3022582)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1171604691:i=437:sd=1:aac=none:ss=included_2972 on theBenchmark for (2972ds/437Mi)
% 15.74/4.55  % (3022582)First to succeed.
% 15.74/4.55  % (3022582)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3022538"
% 15.74/4.55  % (3022583)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3776450336:i=5202:ss=axioms:sgt=16_2971 on theBenchmark for (2971ds/5202Mi)
% 15.74/4.55  % (3022545)Also succeeded, but the first one will report.
% 15.74/4.55  % (3022582)Refutation found. Thanks to Tanya!
% 15.74/4.55  % SZS status Theorem for theBenchmark
% 15.74/4.55  % SZS output start Proof for theBenchmark
% See solution above
% 15.74/4.55  % (3022582)------------------------------
% 15.74/4.55  % (3022582)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.74/4.55  % (3022582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.74/4.55  % (3022582)CaDiCaL version: 2.1.3
% 15.74/4.55  % (3022582)Termination reason: Refutation
% 15.74/4.55  % (3022582)Time elapsed: 0.118 s
% 15.74/4.55  % (3022582)Peak memory usage: 118 MB
% 15.74/4.55  % (3022582)Instructions burned: 171 (million)
% 15.74/4.55  % (3022582)------------------------------
% 15.74/4.55  % (3022582)------------------------------
% 15.74/4.55  % (3022538)Success in time 3.341 s
% 15.74/4.55  % Vampire exiting
%------------------------------------------------------------------------------