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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : CAT033+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n013.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 09:36:47 AM UTC 2026

% Result   : Theorem 21.10s 4.52s
% Output   : Refutation 21.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   33 (  11 unt;   0 def)
%            Number of atoms       :   95 (   6 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  106 (  44   ~;  38   |;  14   &)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-2 aty)
%            Number of variables   :   36 (  32   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f18,axiom,
    ! [X0,X1] : r1_tarski(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).

fof(f10621,axiom,
    ! [X0] :
      ( ( v2_cat_1(X0)
        & l1_cat_1(X0) )
     => ~ v1_xboole_0(k17_ens_1(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_ens_1) ).

fof(f10688,axiom,
    ! [X0] :
      ( ~ v1_xboole_0(X0)
     => ! [X1] :
          ( ( v2_cat_1(X1)
            & l1_cat_1(X1) )
         => ! [X2] :
              ( m1_subset_1(X2,u1_cat_1(X1))
             => ( r1_tarski(k17_ens_1(X1),X0)
               => m2_cat_1(k20_ens_1(X1,X2),X1,k12_ens_1(X0)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t49_ens_1) ).

fof(f16907,axiom,
    ! [X0] :
      ( ( v2_cat_1(X0)
        & l1_cat_1(X0) )
     => k1_yoneda_1(X0) = k12_ens_1(k17_ens_1(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_yoneda_1) ).

fof(f16909,conjecture,
    ! [X0] :
      ( ( v2_cat_1(X0)
        & l1_cat_1(X0) )
     => ! [X1] :
          ( m1_subset_1(X1,u1_cat_1(X0))
         => m2_cat_1(k20_ens_1(X0,X1),X0,k1_yoneda_1(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_yoneda_1) ).

fof(f16910,negated_conjecture,
    ~ ! [X0] :
        ( ( v2_cat_1(X0)
          & l1_cat_1(X0) )
       => ! [X1] :
            ( m1_subset_1(X1,u1_cat_1(X0))
           => m2_cat_1(k20_ens_1(X0,X1),X0,k1_yoneda_1(X0)) ) ),
    inference(negated_conjecture,[status(cth)],[f16909]) ).

fof(f16922,plain,
    ! [X0] : r1_tarski(X0,X0),
    inference(rectify,[],[f18]) ).

fof(f16961,plain,
    ! [X0] :
      ( k1_yoneda_1(X0) = k12_ens_1(k17_ens_1(X0))
      | ~ v2_cat_1(X0)
      | ~ l1_cat_1(X0) ),
    inference(ennf_transformation,[],[f16907]) ).

fof(f16962,plain,
    ! [X0] :
      ( k1_yoneda_1(X0) = k12_ens_1(k17_ens_1(X0))
      | ~ v2_cat_1(X0)
      | ~ l1_cat_1(X0) ),
    inference(flattening,[],[f16961]) ).

fof(f16965,plain,
    ? [X0] :
      ( ? [X1] :
          ( ~ m2_cat_1(k20_ens_1(X0,X1),X0,k1_yoneda_1(X0))
          & m1_subset_1(X1,u1_cat_1(X0)) )
      & v2_cat_1(X0)
      & l1_cat_1(X0) ),
    inference(ennf_transformation,[],[f16910]) ).

fof(f16966,plain,
    ? [X0] :
      ( ? [X1] :
          ( ~ m2_cat_1(k20_ens_1(X0,X1),X0,k1_yoneda_1(X0))
          & m1_subset_1(X1,u1_cat_1(X0)) )
      & v2_cat_1(X0)
      & l1_cat_1(X0) ),
    inference(flattening,[],[f16965]) ).

fof(f17022,plain,
    ! [X0] :
      ( ~ v1_xboole_0(k17_ens_1(X0))
      | ~ v2_cat_1(X0)
      | ~ l1_cat_1(X0) ),
    inference(ennf_transformation,[],[f10621]) ).

fof(f17023,plain,
    ! [X0] :
      ( ~ v1_xboole_0(k17_ens_1(X0))
      | ~ v2_cat_1(X0)
      | ~ l1_cat_1(X0) ),
    inference(flattening,[],[f17022]) ).

fof(f17174,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( m2_cat_1(k20_ens_1(X1,X2),X1,k12_ens_1(X0))
              | ~ r1_tarski(k17_ens_1(X1),X0)
              | ~ m1_subset_1(X2,u1_cat_1(X1)) )
          | ~ v2_cat_1(X1)
          | ~ l1_cat_1(X1) )
      | v1_xboole_0(X0) ),
    inference(ennf_transformation,[],[f10688]) ).

fof(f17175,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( m2_cat_1(k20_ens_1(X1,X2),X1,k12_ens_1(X0))
              | ~ r1_tarski(k17_ens_1(X1),X0)
              | ~ m1_subset_1(X2,u1_cat_1(X1)) )
          | ~ v2_cat_1(X1)
          | ~ l1_cat_1(X1) )
      | v1_xboole_0(X0) ),
    inference(flattening,[],[f17174]) ).

fof(f19706,plain,
    ( ~ m2_cat_1(k20_ens_1(sK13,sK14),sK13,k1_yoneda_1(sK13))
    & m1_subset_1(sK14,u1_cat_1(sK13))
    & v2_cat_1(sK13)
    & l1_cat_1(sK13) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14]),skolemize(X0,sK13),skolemize(X1,sK14)],[f16966]) ).

fof(f20545,plain,
    ! [X0] :
      ( ~ v2_cat_1(X0)
      | k1_yoneda_1(X0) = k12_ens_1(k17_ens_1(X0))
      | ~ l1_cat_1(X0) ),
    inference(cnf_transformation,[],[f16962]) ).

fof(f20547,plain,
    l1_cat_1(sK13),
    inference(cnf_transformation,[],[f19706]) ).

fof(f20548,plain,
    v2_cat_1(sK13),
    inference(cnf_transformation,[],[f19706]) ).

fof(f20549,plain,
    m1_subset_1(sK14,u1_cat_1(sK13)),
    inference(cnf_transformation,[],[f19706]) ).

fof(f20550,plain,
    ~ m2_cat_1(k20_ens_1(sK13,sK14),sK13,k1_yoneda_1(sK13)),
    inference(cnf_transformation,[],[f19706]) ).

fof(f20633,plain,
    ! [X0] :
      ( ~ v1_xboole_0(k17_ens_1(X0))
      | ~ v2_cat_1(X0)
      | ~ l1_cat_1(X0) ),
    inference(cnf_transformation,[],[f17023]) ).

fof(f20911,plain,
    ! [X2,X0,X1] :
      ( ~ r1_tarski(k17_ens_1(X1),X0)
      | m2_cat_1(k20_ens_1(X1,X2),X1,k12_ens_1(X0))
      | ~ m1_subset_1(X2,u1_cat_1(X1))
      | ~ v2_cat_1(X1)
      | ~ l1_cat_1(X1)
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f17175]) ).

fof(f21099,plain,
    ! [X0] : r1_tarski(X0,X0),
    inference(cnf_transformation,[],[f16922]) ).

fof(f26421,plain,
    ( k1_yoneda_1(sK13) = k12_ens_1(k17_ens_1(sK13))
    | ~ l1_cat_1(sK13) ),
    inference(resolution,[],[f20545,f20548]) ).

fof(f26422,plain,
    k1_yoneda_1(sK13) = k12_ens_1(k17_ens_1(sK13)),
    inference(forward_subsumption_resolution,[],[f26421,f20547]) ).

fof(f26476,plain,
    ! [X0,X1] :
      ( m2_cat_1(k20_ens_1(X0,X1),X0,k12_ens_1(k17_ens_1(X0)))
      | ~ m1_subset_1(X1,u1_cat_1(X0))
      | ~ v2_cat_1(X0)
      | ~ l1_cat_1(X0)
      | v1_xboole_0(k17_ens_1(X0)) ),
    inference(resolution,[],[f21099,f20911]) ).

fof(f26477,plain,
    ! [X0,X1] :
      ( ~ m1_subset_1(X1,u1_cat_1(X0))
      | m2_cat_1(k20_ens_1(X0,X1),X0,k12_ens_1(k17_ens_1(X0)))
      | ~ v2_cat_1(X0)
      | ~ l1_cat_1(X0) ),
    inference(forward_subsumption_resolution,[],[f26476,f20633]) ).

fof(f26479,plain,
    ( m2_cat_1(k20_ens_1(sK13,sK14),sK13,k12_ens_1(k17_ens_1(sK13)))
    | ~ v2_cat_1(sK13)
    | ~ l1_cat_1(sK13) ),
    inference(resolution,[],[f26477,f20549]) ).

fof(f26480,plain,
    ( m2_cat_1(k20_ens_1(sK13,sK14),sK13,k12_ens_1(k17_ens_1(sK13)))
    | ~ l1_cat_1(sK13) ),
    inference(forward_subsumption_resolution,[],[f26479,f20548]) ).

fof(f26481,plain,
    m2_cat_1(k20_ens_1(sK13,sK14),sK13,k12_ens_1(k17_ens_1(sK13))),
    inference(forward_subsumption_resolution,[],[f26480,f20547]) ).

fof(f26482,plain,
    m2_cat_1(k20_ens_1(sK13,sK14),sK13,k1_yoneda_1(sK13)),
    inference(forward_demodulation,[],[f26481,f26422]) ).

fof(f26483,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f26482,f20550]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : CAT033+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.27  % Computer : n013.cluster.edu
% 0.11/0.27  % Model    : x86_64 x86_64
% 0.11/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.27  % Memory   : 8046.5625MB
% 0.11/0.27  % OS       : Linux 6.8.0-71-generic
% 0.11/0.27  % CPULimit : 300
% 0.11/0.27  % WCLimit  : 300
% 0.11/0.27  % DateTime : Mon Sep 28 21:20:23 UTC 2026
% 0.12/0.27  % CPUTime  : 
% 0.12/0.27  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.32  Running first-order theorem proving
% 0.12/0.32  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
% 19.15/4.06  % (1594675)Detected formulas, will run a generic FOF schedule.
% 19.15/4.06  % (1594681)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=3169512524:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2992 on theBenchmark for (2992ds/134677Mi)
% 19.15/4.06  % (1594680)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=507273104:i=141193_2992 on theBenchmark for (2992ds/141193Mi)
% 19.15/4.06  % (1594684)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3709320068:i=119:av=off:ss=axioms_2992 on theBenchmark for (2992ds/119Mi)
% 19.15/4.06  % (1594683)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3878568136:i=109:sd=1:ins=1:gsp=on:ss=axioms_2992 on theBenchmark for (2992ds/109Mi)
% 19.15/4.06  % (1594686)dis-21_1_sil=8000:lcm=predicate:random_seed=1452174602:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2992 on theBenchmark for (2992ds/129Mi)
% 19.15/4.06  % (1594682)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=4186515221:i=141695:sd=1:nm=32:gsp=on:ss=included_2992 on theBenchmark for (2992ds/141695Mi)
% 19.15/4.06  % (1594685)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4039779669:s2a=on:i=139:gtg=position_2992 on theBenchmark for (2992ds/139Mi)
% 19.15/4.06  % (1594684)Instruction limit reached! 
% 19.15/4.06  % (1594684)------------------------------
% 19.15/4.06  % (1594684)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.15/4.06  % (1594684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.15/4.06  % (1594684)CaDiCaL version: 2.1.3
% 19.15/4.06  % (1594684)Termination reason: Instruction limit
% 19.15/4.06  % (1594684)Termination phase: Naming
% 19.15/4.06  % (1594684)Time elapsed: 0.156 s
% 19.15/4.06  % (1594684)Peak memory usage: 110 MB
% 19.15/4.06  % (1594684)Instructions burned: 119 (million)
% 19.15/4.06  % (1594685)Instruction limit reached! 
% 19.15/4.06  % (1594685)------------------------------
% 19.15/4.06  % (1594685)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.15/4.06  % (1594685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.15/4.06  % (1594685)CaDiCaL version: 2.1.3
% 19.15/4.06  % (1594685)Termination reason: Instruction limit
% 19.15/4.06  % (1594685)Termination phase: Property scanning
% 19.15/4.06  % (1594685)Time elapsed: 0.118 s
% 19.15/4.06  % (1594685)Peak memory usage: 108 MB
% 19.15/4.06  % (1594685)Instructions burned: 139 (million)
% 19.15/4.06  % (1594683)Refutation not found, incomplete strategy
% 19.15/4.06  % (1594683)------------------------------
% 19.15/4.06  % (1594683)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.15/4.06  % (1594683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.15/4.06  % (1594683)CaDiCaL version: 2.1.3
% 19.15/4.06  % (1594683)Termination reason: Refutation not found, incomplete strategy
% 19.15/4.06  % (1594683)Time elapsed: 0.128 s
% 19.15/4.06  % (1594683)Peak memory usage: 112 MB
% 19.15/4.06  % (1594683)Instructions burned: 104 (million)
% 19.15/4.06  % (1594686)Instruction limit reached! 
% 19.15/4.06  % (1594686)------------------------------
% 19.15/4.06  % (1594686)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.15/4.06  % (1594686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.15/4.06  % (1594686)CaDiCaL version: 2.1.3
% 19.15/4.06  % (1594686)Termination reason: Instruction limit
% 19.15/4.06  % (1594686)Termination phase: SInE selection
% 19.15/4.06  % (1594686)Time elapsed: 0.128 s
% 19.15/4.06  % (1594686)Peak memory usage: 108 MB
% 19.15/4.06  % (1594686)Instructions burned: 129 (million)
% 19.15/4.06  % (1594694)lrs+10_1_sil=8000:sp=occurrence:random_seed=2552436726:i=285:sd=3:ss=axioms:sgt=8_2989 on theBenchmark for (2989ds/285Mi)
% 19.15/4.06  % (1594695)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3216860234:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2989 on theBenchmark for (2989ds/157Mi)
% 19.15/4.06  % (1594696)lrs+1011_1_sil=32000:sp=occurrence:random_seed=583995789:i=325:sd=1:ss=axioms:sgt=32_2988 on theBenchmark for (2988ds/325Mi)
% 19.15/4.06  % (1594683)------------------------------
% 19.15/4.06  % (1594683)------------------------------
% 19.15/4.06  % (1594695)Instruction limit reached! 
% 19.15/4.06  % (1594695)------------------------------
% 19.15/4.06  % (1594695)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.31/4.32  % (1594695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.31/4.32  % (1594695)CaDiCaL version: 2.1.3
% 13.31/4.32  % (1594695)Termination reason: Instruction limit
% 13.31/4.32  % (1594695)Termination phase: Property scanning
% 13.31/4.32  % (1594695)Time elapsed: 0.133 s
% 13.31/4.32  % (1594695)Peak memory usage: 108 MB
% 13.31/4.32  % (1594695)Instructions burned: 157 (million)
% 13.31/4.32  % (1594696)Refutation not found, incomplete strategy
% 13.31/4.32  % (1594696)------------------------------
% 13.31/4.32  % (1594696)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.31/4.32  % (1594696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.31/4.32  % (1594696)CaDiCaL version: 2.1.3
% 13.31/4.32  % (1594696)Termination reason: Refutation not found, incomplete strategy
% 13.31/4.32  % (1594696)Time elapsed: 0.129 s
% 13.31/4.32  % (1594696)Peak memory usage: 112 MB
% 13.31/4.32  % (1594696)Instructions burned: 102 (million)
% 13.31/4.32  % (1594694)Instruction limit reached! 
% 13.31/4.32  % (1594694)------------------------------
% 13.31/4.32  % (1594694)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.31/4.32  % (1594694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.31/4.32  % (1594694)CaDiCaL version: 2.1.3
% 13.31/4.32  % (1594694)Termination reason: Instruction limit
% 13.31/4.32  % (1594694)Termination phase: Saturation
% 13.31/4.32  % (1594694)Time elapsed: 0.321 s
% 13.31/4.32  % (1594694)Peak memory usage: 115 MB
% 13.31/4.32  % (1594694)Instructions burned: 285 (million)
% 13.31/4.32  % (1594701)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1766097388:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2984 on theBenchmark for (2984ds/294Mi)
% 13.31/4.32  % (1594700)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=1537632086:s2a=on:i=248:s2at=1.23:gtg=position_2984 on theBenchmark for (2984ds/248Mi)
% 13.31/4.32  % (1594696)------------------------------
% 13.31/4.32  % (1594696)------------------------------
% 13.31/4.32  % (1594702)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2443086585:i=2350_2983 on theBenchmark for (2983ds/2350Mi)
% 13.31/4.32  % (1594700)Instruction limit reached! 
% 13.31/4.32  % (1594700)------------------------------
% 13.31/4.32  % (1594700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.31/4.32  % (1594700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.31/4.32  % (1594700)CaDiCaL version: 2.1.3
% 13.31/4.32  % (1594700)Termination reason: Instruction limit
% 13.31/4.32  % (1594700)Termination phase: SInE selection
% 13.31/4.32  % (1594700)Time elapsed: 0.212 s
% 13.31/4.32  % (1594700)Peak memory usage: 108 MB
% 13.31/4.32  % (1594700)Instructions burned: 248 (million)
% 13.31/4.32  % (1594701)Instruction limit reached! 
% 13.31/4.32  % (1594701)------------------------------
% 13.31/4.32  % (1594701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.31/4.32  % (1594701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.31/4.32  % (1594701)CaDiCaL version: 2.1.3
% 13.31/4.32  % (1594701)Termination reason: Instruction limit
% 13.31/4.32  % (1594701)Termination phase: Saturation
% 13.31/4.32  % (1594701)Time elapsed: 0.246 s
% 13.31/4.32  % (1594701)Peak memory usage: 115 MB
% 13.31/4.32  % (1594701)Instructions burned: 294 (million)
% 13.31/4.32  % (1594705)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=666760966:cts=off:i=113:fsr=off:ss=included:sgt=4_2980 on theBenchmark for (2980ds/113Mi)
% 13.31/4.32  % (1594708)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3318130411:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2979 on theBenchmark for (2979ds/114Mi)
% 13.31/4.32  % (1594708)Instruction limit reached! 
% 13.31/4.32  % (1594708)------------------------------
% 13.31/4.32  % (1594708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.31/4.32  % (1594708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.31/4.32  % (1594708)CaDiCaL version: 2.1.3
% 13.31/4.32  % (1594708)Termination reason: Instruction limit
% 13.31/4.32  % (1594708)Termination phase: Property scanning
% 13.31/4.32  % (1594708)Time elapsed: 0.028 s
% 13.31/4.32  % (1594708)Peak memory usage: 108 MB
% 13.31/4.32  % (1594708)Instructions burned: 115 (million)
% 13.31/4.32  % (1594707)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2787184213:i=127:av=off:fsr=off:sup=off_2979 on theBenchmark for (2979ds/127Mi)
% 21.10/4.51  % (1594705)Instruction limit reached! 
% 21.10/4.51  % (1594705)------------------------------
% 21.10/4.51  % (1594705)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.10/4.51  % (1594705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.10/4.51  % (1594705)CaDiCaL version: 2.1.3
% 21.10/4.51  % (1594705)Termination reason: Instruction limit
% 21.10/4.51  % (1594705)Termination phase: Preprocessing 2
% 21.10/4.51  % (1594705)Time elapsed: 0.101 s
% 21.10/4.51  % (1594705)Peak memory usage: 109 MB
% 21.10/4.51  % (1594705)Instructions burned: 113 (million)
% 21.10/4.51  % (1594707)Instruction limit reached! 
% 21.10/4.51  % (1594707)------------------------------
% 21.10/4.51  % (1594707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.10/4.51  % (1594707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.10/4.51  % (1594707)CaDiCaL version: 2.1.3
% 21.10/4.51  % (1594707)Termination reason: Instruction limit
% 21.10/4.51  % (1594707)Termination phase: Preprocessing 1
% 21.10/4.51  % (1594707)Time elapsed: 0.094 s
% 21.10/4.51  % (1594707)Peak memory usage: 108 MB
% 21.10/4.51  % (1594707)Instructions burned: 128 (million)
% 21.10/4.52  % (1594711)lrs+10_1_sil=8000:sp=occurrence:random_seed=3720347111:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2978 on theBenchmark for (2978ds/907Mi)
% 21.10/4.52  % (1594713)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=441326508:i=437:sd=1:aac=none:ss=included_2977 on theBenchmark for (2977ds/437Mi)
% 21.10/4.52  % (1594714)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2611392672:i=5202:ss=axioms:sgt=16_2977 on theBenchmark for (2977ds/5202Mi)
% 21.10/4.52  % (1594713)Refutation not found, incomplete strategy
% 21.10/4.52  % (1594713)------------------------------
% 21.10/4.52  % (1594713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.10/4.52  % (1594713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.10/4.52  % (1594713)CaDiCaL version: 2.1.3
% 21.10/4.52  % (1594713)Termination reason: Refutation not found, incomplete strategy
% 21.10/4.52  % (1594713)Time elapsed: 0.107 s
% 21.10/4.52  % (1594713)Peak memory usage: 113 MB
% 21.10/4.52  % (1594713)Instructions burned: 131 (million)
% 21.10/4.52  % (1594711)Instruction limit reached! 
% 21.10/4.52  % (1594711)------------------------------
% 21.10/4.52  % (1594711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.10/4.52  % (1594711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.10/4.52  % (1594711)CaDiCaL version: 2.1.3
% 21.10/4.52  % (1594711)Termination reason: Instruction limit
% 21.10/4.52  % (1594711)Termination phase: Saturation
% 21.10/4.52  % (1594711)Time elapsed: 0.310 s
% 21.10/4.52  % (1594711)Peak memory usage: 128 MB
% 21.10/4.52  % (1594711)Instructions burned: 910 (million)
% 21.10/4.52  % (1594718)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=314327698:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2973 on theBenchmark for (2973ds/134Mi)
% 21.10/4.52  % (1594713)------------------------------
% 21.10/4.52  % (1594713)------------------------------
% 21.10/4.52  % (1594718)Instruction limit reached! 
% 21.10/4.52  % (1594718)------------------------------
% 21.10/4.52  % (1594718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.10/4.52  % (1594718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.10/4.52  % (1594718)CaDiCaL version: 2.1.3
% 21.10/4.52  % (1594718)Termination reason: Instruction limit
% 21.10/4.52  % (1594718)Termination phase: Property scanning
% 21.10/4.52  % (1594718)Time elapsed: 0.061 s
% 21.10/4.52  % (1594718)Peak memory usage: 111 MB
% 21.10/4.52  % (1594718)Instructions burned: 135 (million)
% 21.10/4.52  % (1594721)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2215872611:st=3:i=13193:sd=3:ss=axioms_2971 on theBenchmark for (2971ds/13193Mi)
% 21.10/4.52  % (1594720)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=106744473:st=8:i=592:sd=3:ep=RST:ss=axioms_2972 on theBenchmark for (2972ds/592Mi)
% 21.10/4.52  % (1594681)First to succeed.
% 21.10/4.52  % (1594681)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1594675"
% 21.10/4.52  % (1594702)Instruction limit reached! 
% 21.10/4.52  % (1594702)------------------------------
% 21.10/4.52  % (1594702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.10/4.52  % (1594702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.10/4.52  % (1594702)CaDiCaL version: 2.1.3
% 21.10/4.52  % (1594702)Termination reason: Instruction limit
% 21.10/4.52  % (1594702)Termination phase: Saturation
% 21.10/4.52  % (1594702)Time elapsed: 1.319 s
% 21.10/4.52  % (1594702)Peak memory usage: 173 MB
% 21.10/4.52  % (1594702)Instructions burned: 2351 (million)
% 21.10/4.52  % (1594720)Instruction limit reached! 
% 21.10/4.52  % (1594720)------------------------------
% 21.10/4.52  % (1594720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.10/4.52  % (1594720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.10/4.52  % (1594720)CaDiCaL version: 2.1.3
% 21.10/4.52  % (1594720)Termination reason: Instruction limit
% 21.10/4.52  % (1594720)Termination phase: Property scanning
% 21.10/4.52  % (1594720)Time elapsed: 0.426 s
% 21.10/4.52  % (1594720)Peak memory usage: 129 MB
% 21.10/4.52  % (1594720)Instructions burned: 594 (million)
% 21.10/4.52  % (1594724)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3393743481:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2967 on theBenchmark for (2967ds/125Mi)
% 21.10/4.52  % (1594681)Refutation found. Thanks to Tanya!
% 21.10/4.52  % SZS status Theorem for theBenchmark
% 21.10/4.52  % SZS output start Proof for theBenchmark
% See solution above
% 21.10/4.52  % (1594681)------------------------------
% 21.10/4.52  % (1594681)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.10/4.52  % (1594681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.10/4.52  % (1594681)CaDiCaL version: 2.1.3
% 21.10/4.52  % (1594681)Termination reason: Refutation
% 21.10/4.52  % (1594681)Time elapsed: 2.318 s
% 21.10/4.52  % (1594681)Peak memory usage: 213 MB
% 21.10/4.52  % (1594681)Instructions burned: 3210 (million)
% 21.10/4.52  % (1594681)------------------------------
% 21.10/4.52  % (1594681)------------------------------
% 21.10/4.52  % (1594675)Success in time 3.535 s
% 21.10/4.52  % Vampire exiting
%------------------------------------------------------------------------------