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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SEU256+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n004.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 12:48:02 PM UTC 2026

% Result   : Theorem 10.97s 2.46s
% Output   : Refutation 11.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   54 (   5 unt;   0 def)
%            Number of atoms       :  183 (  20 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  212 (  83   ~;  91   |;  26   &)
%                                         (   2 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-2 aty)
%            Number of variables   :  104 (  95   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f37,axiom,
    ! [X0] :
      ( relation(X0)
     => ( well_founded_relation(X0)
      <=> ! [X1] :
            ~ ( subset(X1,relation_field(X0))
              & X1 != empty_set
              & ! [X2] :
                  ~ ( in(X2,X1)
                    & disjoint(fiber(X0,X2),X1) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_wellord1) ).

fof(f85,axiom,
    ! [X0,X1] :
      ( relation(X0)
     => relation(relation_restriction(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_wellord1) ).

fof(f214,axiom,
    ! [X0,X1,X2] :
      ( ( subset(X0,X1)
        & subset(X1,X2) )
     => subset(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_xboole_1) ).

fof(f217,axiom,
    ! [X0,X1] :
      ( relation(X1)
     => ( subset(relation_field(relation_restriction(X1,X0)),relation_field(X1))
        & subset(relation_field(relation_restriction(X1,X0)),X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_wellord1) ).

fof(f221,axiom,
    ! [X0,X1,X2] :
      ( relation(X2)
     => subset(fiber(relation_restriction(X2,X0),X1),fiber(X2,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_wellord1) ).

fof(f239,conjecture,
    ! [X0,X1] :
      ( relation(X1)
     => ( well_founded_relation(X1)
       => well_founded_relation(relation_restriction(X1,X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t31_wellord1) ).

fof(f240,negated_conjecture,
    ~ ! [X0,X1] :
        ( relation(X1)
       => ( well_founded_relation(X1)
         => well_founded_relation(relation_restriction(X1,X0)) ) ),
    inference(negated_conjecture,[status(cth)],[f239]) ).

fof(f287,axiom,
    ! [X0,X1,X2] :
      ( ( subset(X0,X1)
        & disjoint(X1,X2) )
     => disjoint(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t63_xboole_1) ).

fof(f358,plain,
    ! [X0] :
      ( ( well_founded_relation(X0)
      <=> ! [X1] :
            ( ~ subset(X1,relation_field(X0))
            | empty_set = X1
            | ? [X2] :
                ( in(X2,X1)
                & disjoint(fiber(X0,X2),X1) ) ) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f389,plain,
    ! [X0,X1] :
      ( relation(relation_restriction(X0,X1))
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f85]) ).

fof(f502,plain,
    ! [X0,X1,X2] :
      ( subset(X0,X2)
      | ~ subset(X0,X1)
      | ~ subset(X1,X2) ),
    inference(ennf_transformation,[],[f214]) ).

fof(f503,plain,
    ! [X0,X1,X2] :
      ( subset(X0,X2)
      | ~ subset(X0,X1)
      | ~ subset(X1,X2) ),
    inference(flattening,[],[f502]) ).

fof(f506,plain,
    ! [X0,X1] :
      ( ( subset(relation_field(relation_restriction(X1,X0)),relation_field(X1))
        & subset(relation_field(relation_restriction(X1,X0)),X0) )
      | ~ relation(X1) ),
    inference(ennf_transformation,[],[f217]) ).

fof(f512,plain,
    ! [X0,X1,X2] :
      ( subset(fiber(relation_restriction(X2,X0),X1),fiber(X2,X1))
      | ~ relation(X2) ),
    inference(ennf_transformation,[],[f221]) ).

fof(f539,plain,
    ? [X0,X1] :
      ( ~ well_founded_relation(relation_restriction(X1,X0))
      & well_founded_relation(X1)
      & relation(X1) ),
    inference(ennf_transformation,[],[f240]) ).

fof(f540,plain,
    ? [X0,X1] :
      ( ~ well_founded_relation(relation_restriction(X1,X0))
      & well_founded_relation(X1)
      & relation(X1) ),
    inference(flattening,[],[f539]) ).

fof(f591,plain,
    ! [X0,X1,X2] :
      ( disjoint(X0,X2)
      | ~ subset(X0,X1)
      | ~ disjoint(X1,X2) ),
    inference(ennf_transformation,[],[f287]) ).

fof(f592,plain,
    ! [X0,X1,X2] :
      ( disjoint(X0,X2)
      | ~ subset(X0,X1)
      | ~ disjoint(X1,X2) ),
    inference(flattening,[],[f591]) ).

fof(f690,plain,
    ! [X0] :
      ( ( ( well_founded_relation(X0)
          | ? [X1] :
              ( subset(X1,relation_field(X0))
              & empty_set != X1
              & ! [X2] :
                  ( ~ in(X2,X1)
                  | ~ disjoint(fiber(X0,X2),X1) ) ) )
        & ( ! [X1] :
              ( ~ subset(X1,relation_field(X0))
              | empty_set = X1
              | ? [X2] :
                  ( in(X2,X1)
                  & disjoint(fiber(X0,X2),X1) ) )
          | ~ well_founded_relation(X0) ) )
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f358]) ).

fof(f691,plain,
    ! [X0] :
      ( ( ( well_founded_relation(X0)
          | ? [X1] :
              ( subset(X1,relation_field(X0))
              & empty_set != X1
              & ! [X2] :
                  ( ~ in(X2,X1)
                  | ~ disjoint(fiber(X0,X2),X1) ) ) )
        & ( ! [X3] :
              ( ~ subset(X3,relation_field(X0))
              | empty_set = X3
              | ? [X4] :
                  ( in(X4,X3)
                  & disjoint(fiber(X0,X4),X3) ) )
          | ~ well_founded_relation(X0) ) )
      | ~ relation(X0) ),
    inference(rectify,[],[f690]) ).

fof(f692,plain,
    ! [X0] :
      ( ( ( well_founded_relation(X0)
          | ( subset(sK32(X0),relation_field(X0))
            & empty_set != sK32(X0)
            & ! [X2] :
                ( ~ in(X2,sK32(X0))
                | ~ disjoint(fiber(X0,X2),sK32(X0)) ) ) )
        & ( ! [X3] :
              ( ~ subset(X3,relation_field(X0))
              | empty_set = X3
              | ( in(sK33(X0,X3),X3)
                & disjoint(fiber(X0,sK33(X0,X3)),X3) ) )
          | ~ well_founded_relation(X0) ) )
      | ~ relation(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK32,sK33]),skolemize(X1,sK32(X0)),skolemize(X4,sK33(X0,X3))],[f691]) ).

fof(f821,plain,
    ( ~ well_founded_relation(relation_restriction(sK107,sK106))
    & well_founded_relation(sK107)
    & relation(sK107) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK106,sK107]),skolemize(X0,sK106),skolemize(X1,sK107)],[f540]) ).

fof(f990,plain,
    ! [X3,X0] :
      ( ~ well_founded_relation(X0)
      | empty_set = X3
      | disjoint(fiber(X0,sK33(X0,X3)),X3)
      | ~ subset(X3,relation_field(X0))
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f692]) ).

fof(f991,plain,
    ! [X3,X0] :
      ( ~ well_founded_relation(X0)
      | empty_set = X3
      | in(sK33(X0,X3),X3)
      | ~ subset(X3,relation_field(X0))
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f692]) ).

fof(f992,plain,
    ! [X2,X0] :
      ( ~ disjoint(fiber(X0,X2),sK32(X0))
      | ~ in(X2,sK32(X0))
      | well_founded_relation(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f692]) ).

fof(f993,plain,
    ! [X0] :
      ( empty_set != sK32(X0)
      | well_founded_relation(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f692]) ).

fof(f994,plain,
    ! [X0] :
      ( subset(sK32(X0),relation_field(X0))
      | well_founded_relation(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f692]) ).

fof(f1134,plain,
    ! [X0,X1] :
      ( relation(relation_restriction(X0,X1))
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f389]) ).

fof(f1343,plain,
    ! [X2,X0,X1] :
      ( ~ subset(X1,X2)
      | ~ subset(X0,X1)
      | subset(X0,X2) ),
    inference(cnf_transformation,[],[f503]) ).

fof(f1348,plain,
    ! [X0,X1] :
      ( subset(relation_field(relation_restriction(X1,X0)),relation_field(X1))
      | ~ relation(X1) ),
    inference(cnf_transformation,[],[f506]) ).

fof(f1354,plain,
    ! [X2,X0,X1] :
      ( subset(fiber(relation_restriction(X2,X0),X1),fiber(X2,X1))
      | ~ relation(X2) ),
    inference(cnf_transformation,[],[f512]) ).

fof(f1376,plain,
    relation(sK107),
    inference(cnf_transformation,[],[f821]) ).

fof(f1377,plain,
    well_founded_relation(sK107),
    inference(cnf_transformation,[],[f821]) ).

fof(f1378,plain,
    ~ well_founded_relation(relation_restriction(sK107,sK106)),
    inference(cnf_transformation,[],[f821]) ).

fof(f1466,plain,
    ! [X2,X0,X1] :
      ( ~ disjoint(X1,X2)
      | ~ subset(X0,X1)
      | disjoint(X0,X2) ),
    inference(cnf_transformation,[],[f592]) ).

fof(f1838,plain,
    ! [X0] :
      ( empty_set = X0
      | in(sK33(sK107,X0),X0)
      | ~ subset(X0,relation_field(sK107))
      | ~ relation(sK107) ),
    inference(resolution,[],[f991,f1377]) ).

fof(f1839,plain,
    ! [X0] :
      ( ~ subset(X0,relation_field(sK107))
      | in(sK33(sK107,X0),X0)
      | empty_set = X0 ),
    inference(forward_subsumption_resolution,[],[f1838,f1376]) ).

fof(f1841,plain,
    ! [X0] :
      ( empty_set = X0
      | disjoint(fiber(sK107,sK33(sK107,X0)),X0)
      | ~ subset(X0,relation_field(sK107))
      | ~ relation(sK107) ),
    inference(resolution,[],[f990,f1377]) ).

fof(f1842,plain,
    ! [X0] :
      ( disjoint(fiber(sK107,sK33(sK107,X0)),X0)
      | empty_set = X0
      | ~ subset(X0,relation_field(sK107)) ),
    inference(forward_subsumption_resolution,[],[f1841,f1376]) ).

fof(f1860,plain,
    ! [X0,X1] :
      ( ~ subset(X0,fiber(sK107,sK33(sK107,X1)))
      | disjoint(X0,X1)
      | empty_set = X1
      | ~ subset(X1,relation_field(sK107)) ),
    inference(resolution,[],[f1466,f1842]) ).

fof(f1983,plain,
    ! [X2,X0,X1] :
      ( ~ relation(X1)
      | subset(X0,relation_field(X1))
      | ~ subset(X0,relation_field(relation_restriction(X1,X2))) ),
    inference(resolution,[],[f1343,f1348]) ).

fof(f2343,plain,
    ! [X0,X1] :
      ( ~ subset(X0,relation_field(relation_restriction(sK107,X1)))
      | subset(X0,relation_field(sK107)) ),
    inference(resolution,[],[f1983,f1376]) ).

fof(f2386,plain,
    ! [X0] :
      ( ~ relation(relation_restriction(sK107,X0))
      | well_founded_relation(relation_restriction(sK107,X0))
      | subset(sK32(relation_restriction(sK107,X0)),relation_field(sK107)) ),
    inference(resolution,[],[f2343,f994]) ).

fof(f2390,plain,
    ! [X0] :
      ( well_founded_relation(relation_restriction(sK107,X0))
      | subset(sK32(relation_restriction(sK107,X0)),relation_field(sK107))
      | ~ relation(sK107) ),
    inference(resolution,[],[f2386,f1134]) ).

fof(f2391,plain,
    ! [X0] :
      ( subset(sK32(relation_restriction(sK107,X0)),relation_field(sK107))
      | well_founded_relation(relation_restriction(sK107,X0)) ),
    inference(forward_subsumption_resolution,[],[f2390,f1376]) ).

fof(f4621,plain,
    ! [X0,X1] :
      ( disjoint(fiber(relation_restriction(sK107,X0),sK33(sK107,X1)),X1)
      | empty_set = X1
      | ~ subset(X1,relation_field(sK107))
      | ~ relation(sK107) ),
    inference(resolution,[],[f1860,f1354]) ).

fof(f4626,plain,
    ! [X0,X1] :
      ( disjoint(fiber(relation_restriction(sK107,X0),sK33(sK107,X1)),X1)
      | empty_set = X1
      | ~ subset(X1,relation_field(sK107)) ),
    inference(forward_subsumption_resolution,[],[f4621,f1376]) ).

fof(f4627,plain,
    ! [X0] :
      ( empty_set = sK32(relation_restriction(sK107,X0))
      | ~ subset(sK32(relation_restriction(sK107,X0)),relation_field(sK107))
      | ~ in(sK33(sK107,sK32(relation_restriction(sK107,X0))),sK32(relation_restriction(sK107,X0)))
      | well_founded_relation(relation_restriction(sK107,X0))
      | ~ relation(relation_restriction(sK107,X0)) ),
    inference(resolution,[],[f4626,f992]) ).

fof(f4631,plain,
    ! [X0] :
      ( empty_set = sK32(relation_restriction(sK107,X0))
      | ~ subset(sK32(relation_restriction(sK107,X0)),relation_field(sK107))
      | well_founded_relation(relation_restriction(sK107,X0))
      | ~ relation(relation_restriction(sK107,X0)) ),
    inference(forward_subsumption_resolution,[],[f4627,f1839]) ).

fof(f4632,plain,
    ! [X0] :
      ( ~ subset(sK32(relation_restriction(sK107,X0)),relation_field(sK107))
      | well_founded_relation(relation_restriction(sK107,X0))
      | ~ relation(relation_restriction(sK107,X0)) ),
    inference(forward_subsumption_resolution,[],[f4631,f993]) ).

fof(f4633,plain,
    ! [X0] :
      ( ~ relation(relation_restriction(sK107,X0))
      | well_founded_relation(relation_restriction(sK107,X0)) ),
    inference(forward_subsumption_resolution,[],[f4632,f2391]) ).

fof(f4634,plain,
    ! [X0] :
      ( well_founded_relation(relation_restriction(sK107,X0))
      | ~ relation(sK107) ),
    inference(resolution,[],[f4633,f1134]) ).

fof(f4635,plain,
    ! [X0] : well_founded_relation(relation_restriction(sK107,X0)),
    inference(forward_subsumption_resolution,[],[f4634,f1376]) ).

fof(f4637,plain,
    $false,
    inference(resolution,[],[f4635,f1378]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SEU256+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37  % Computer : n004.cluster.edu
% 0.12/0.37  % Model    : x86_64 x86_64
% 0.12/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37  % Memory   : 8046.5625MB
% 0.12/0.37  % OS       : Linux 6.8.0-71-generic
% 0.12/0.37  % CPULimit : 300
% 0.12/0.37  % WCLimit  : 300
% 0.12/0.37  % DateTime : Mon Sep 28 04:20:52 UTC 2026
% 0.12/0.37  % CPUTime  : 
% 0.12/0.37  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41  Running first-order theorem proving
% 0.12/0.41  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
% 10.97/2.45  % (4144339)Detected formulas, will run a generic FOF schedule.
% 10.97/2.45  % (4144349)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4208448386:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.97/2.45  % (4144345)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=1073112503:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.97/2.45  % (4144346)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=2352879945:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.97/2.45  % (4144344)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=3637267234:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.97/2.45  % (4144350)dis-21_1_sil=8000:lcm=predicate:random_seed=3322430866: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)
% 10.97/2.45  % (4144347)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1067633979:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.97/2.45  % (4144348)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1586765286:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.97/2.45  % (4144349)Instruction limit reached! 
% 10.97/2.45  % (4144349)------------------------------
% 10.97/2.45  % (4144349)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.97/2.45  % (4144349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.97/2.45  % (4144349)CaDiCaL version: 2.1.3
% 10.97/2.45  % (4144349)Termination reason: Instruction limit
% 10.97/2.45  % (4144349)Termination phase: Saturation
% 10.97/2.45  % (4144349)Time elapsed: 0.056 s
% 10.97/2.45  % (4144349)Peak memory usage: 91 MB
% 10.97/2.45  % (4144349)Instructions burned: 140 (million)
% 10.97/2.45  % (4144347)Instruction limit reached! 
% 10.97/2.45  % (4144347)------------------------------
% 10.97/2.45  % (4144347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.97/2.45  % (4144347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.97/2.45  % (4144347)CaDiCaL version: 2.1.3
% 10.97/2.45  % (4144347)Termination reason: Instruction limit
% 10.97/2.45  % (4144347)Termination phase: Saturation
% 10.97/2.45  % (4144347)Time elapsed: 0.069 s
% 10.97/2.45  % (4144347)Peak memory usage: 90 MB
% 10.97/2.45  % (4144347)Instructions burned: 109 (million)
% 10.97/2.45  % (4144350)Instruction limit reached! 
% 10.97/2.45  % (4144350)------------------------------
% 10.97/2.45  % (4144350)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.97/2.45  % (4144350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.97/2.45  % (4144350)CaDiCaL version: 2.1.3
% 10.97/2.45  % (4144350)Termination reason: Instruction limit
% 10.97/2.45  % (4144350)Termination phase: Saturation
% 10.97/2.45  % (4144350)Time elapsed: 0.076 s
% 10.97/2.45  % (4144350)Peak memory usage: 90 MB
% 10.97/2.45  % (4144350)Instructions burned: 129 (million)
% 10.97/2.45  % (4144348)Instruction limit reached! 
% 10.97/2.45  % (4144348)------------------------------
% 10.97/2.45  % (4144348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.97/2.45  % (4144348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.97/2.45  % (4144348)CaDiCaL version: 2.1.3
% 10.97/2.45  % (4144348)Termination reason: Instruction limit
% 10.97/2.45  % (4144348)Termination phase: Saturation
% 10.97/2.45  % (4144348)Time elapsed: 0.082 s
% 10.97/2.45  % (4144348)Peak memory usage: 90 MB
% 10.97/2.45  % (4144348)Instructions burned: 120 (million)
% 10.97/2.45  % (4144358)lrs+10_1_sil=8000:sp=occurrence:random_seed=2672623405:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 10.97/2.45  % (4144359)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3908540459:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.97/2.45  % (4144358)Instruction limit reached! 
% 10.97/2.45  % (4144358)------------------------------
% 10.97/2.45  % (4144358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.97/2.45  % (4144358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.97/2.45  % (4144358)CaDiCaL version: 2.1.3
% 10.97/2.45  % (4144358)Termination reason: Instruction limit
% 10.97/2.45  % (4144358)Termination phase: Saturation
% 10.97/2.46  % (4144358)Time elapsed: 0.104 s
% 10.97/2.46  % (4144358)Peak memory usage: 94 MB
% 10.97/2.46  % (4144358)Instructions burned: 285 (million)
% 10.97/2.46  % (4144360)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3967556641:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 10.97/2.46  % (4144361)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=1274151323:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 10.97/2.46  % (4144359)Instruction limit reached! 
% 10.97/2.46  % (4144359)------------------------------
% 10.97/2.46  % (4144359)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.97/2.46  % (4144359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.97/2.46  % (4144359)CaDiCaL version: 2.1.3
% 10.97/2.46  % (4144359)Termination reason: Instruction limit
% 10.97/2.46  % (4144359)Termination phase: Saturation
% 10.97/2.46  % (4144359)Time elapsed: 0.086 s
% 10.97/2.46  % (4144359)Peak memory usage: 89 MB
% 10.97/2.46  % (4144359)Instructions burned: 158 (million)
% 10.97/2.46  % (4144365)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3478830856:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 10.97/2.46  % (4144361)Instruction limit reached! 
% 10.97/2.46  % (4144361)------------------------------
% 10.97/2.46  % (4144361)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.97/2.46  % (4144361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.97/2.46  % (4144361)CaDiCaL version: 2.1.3
% 10.97/2.46  % (4144361)Termination reason: Instruction limit
% 10.97/2.46  % (4144361)Termination phase: Saturation
% 10.97/2.46  % (4144361)Time elapsed: 0.148 s
% 10.97/2.46  % (4144361)Peak memory usage: 93 MB
% 10.97/2.46  % (4144361)Instructions burned: 249 (million)
% 10.97/2.46  % (4144365)Instruction limit reached! 
% 10.97/2.46  % (4144365)------------------------------
% 10.97/2.46  % (4144365)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.97/2.46  % (4144365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.97/2.46  % (4144365)CaDiCaL version: 2.1.3
% 10.97/2.46  % (4144365)Termination reason: Instruction limit
% 10.97/2.46  % (4144365)Termination phase: Saturation
% 10.97/2.46  % (4144365)Time elapsed: 0.100 s
% 10.97/2.46  % (4144365)Peak memory usage: 91 MB
% 10.97/2.46  % (4144365)Instructions burned: 297 (million)
% 10.97/2.46  % (4144368)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1086398694:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 10.97/2.46  % (4144360)Instruction limit reached! 
% 10.97/2.46  % (4144360)------------------------------
% 10.97/2.46  % (4144360)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.97/2.46  % (4144360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.97/2.46  % (4144360)CaDiCaL version: 2.1.3
% 10.97/2.46  % (4144360)Termination reason: Instruction limit
% 10.97/2.46  % (4144360)Termination phase: Saturation
% 10.97/2.46  % (4144360)Time elapsed: 0.227 s
% 10.97/2.46  % (4144360)Peak memory usage: 93 MB
% 10.97/2.46  % (4144360)Instructions burned: 325 (million)
% 10.97/2.46  % (4144370)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4290312440:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 10.97/2.46  % (4144369)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1316183097:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 10.97/2.46  % (4144370)Instruction limit reached! 
% 10.97/2.46  % (4144370)------------------------------
% 10.97/2.46  % (4144370)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.97/2.46  % (4144370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.97/2.46  % (4144370)CaDiCaL version: 2.1.3
% 10.97/2.46  % (4144370)Termination reason: Instruction limit
% 10.97/2.46  % (4144370)Termination phase: Saturation
% 10.97/2.46  % (4144370)Time elapsed: 0.035 s
% 10.97/2.46  % (4144370)Peak memory usage: 90 MB
% 10.97/2.46  % (4144370)Instructions burned: 130 (million)
% 10.97/2.46  % (4144369)Instruction limit reached! 
% 10.97/2.46  % (4144369)------------------------------
% 10.97/2.46  % (4144369)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.97/2.46  % (4144369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.97/2.46  % (4144369)CaDiCaL version: 2.1.3
% 10.97/2.46  % (4144369)Termination reason: Instruction limit
% 10.97/2.46  % (4144369)Termination phase: Saturation
% 10.97/2.46  % (4144369)Time elapsed: 0.071 s
% 10.97/2.46  % (4144369)Peak memory usage: 90 MB
% 10.97/2.46  % (4144369)Instructions burned: 113 (million)
% 10.97/2.46  % (4144372)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4128754342:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 10.97/2.46  % (4144375)lrs+10_1_sil=8000:sp=occurrence:random_seed=1450601355:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 10.97/2.46  % (4144372)Instruction limit reached! 
% 10.97/2.46  % (4144372)------------------------------
% 10.97/2.46  % (4144372)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.97/2.46  % (4144372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.97/2.46  % (4144372)CaDiCaL version: 2.1.3
% 10.97/2.46  % (4144372)Termination reason: Instruction limit
% 10.97/2.46  % (4144372)Termination phase: Saturation
% 10.97/2.46  % (4144372)Time elapsed: 0.069 s
% 10.97/2.46  % (4144372)Peak memory usage: 89 MB
% 10.97/2.46  % (4144372)Instructions burned: 116 (million)
% 10.97/2.46  % (4144377)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3098727264:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 10.97/2.46  % (4144379)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3956797860:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 10.97/2.46  % (4144375)Instruction limit reached! 
% 10.97/2.46  % (4144375)------------------------------
% 10.97/2.46  % (4144375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.97/2.46  % (4144375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.97/2.46  % (4144375)CaDiCaL version: 2.1.3
% 10.97/2.46  % (4144375)Termination reason: Instruction limit
% 10.97/2.46  % (4144375)Termination phase: Saturation
% 10.97/2.46  % (4144375)Time elapsed: 0.309 s
% 10.97/2.46  % (4144375)Peak memory usage: 102 MB
% 10.97/2.46  % (4144375)Instructions burned: 908 (million)
% 10.97/2.46  % (4144377)Instruction limit reached! 
% 10.97/2.46  % (4144377)------------------------------
% 10.97/2.46  % (4144377)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.97/2.46  % (4144377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.97/2.46  % (4144377)CaDiCaL version: 2.1.3
% 10.97/2.46  % (4144377)Termination reason: Instruction limit
% 10.97/2.46  % (4144377)Termination phase: Saturation
% 10.97/2.46  % (4144377)Time elapsed: 0.264 s
% 10.97/2.46  % (4144377)Peak memory usage: 93 MB
% 10.97/2.46  % (4144377)Instructions burned: 437 (million)
% 10.97/2.46  % (4144382)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=594955407:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 10.97/2.46  % (4144382)Instruction limit reached! 
% 10.97/2.46  % (4144382)------------------------------
% 10.97/2.46  % (4144382)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.97/2.46  % (4144382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.97/2.46  % (4144382)CaDiCaL version: 2.1.3
% 10.97/2.46  % (4144382)Termination reason: Instruction limit
% 10.97/2.46  % (4144382)Termination phase: Saturation
% 10.97/2.46  % (4144382)Time elapsed: 0.041 s
% 10.97/2.46  % (4144382)Peak memory usage: 92 MB
% 10.97/2.46  % (4144382)Instructions burned: 135 (million)
% 10.97/2.46  % (4144383)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2444152178:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 10.97/2.46  % (4144385)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3091526061:st=3:i=13193:sd=3:ss=axioms_2988 on theBenchmark for (2988ds/13193Mi)
% 10.97/2.46  % (4144345)First to succeed.
% 10.97/2.46  % (4144345)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4144339"
% 10.97/2.46  % (4144345)Refutation found. Thanks to Tanya!
% 10.97/2.46  % SZS status Theorem for theBenchmark
% 10.97/2.46  % SZS output start Proof for theBenchmark
% See solution above
% 11.77/2.55  % (4144345)------------------------------
% 11.77/2.55  % (4144345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.77/2.55  % (4144345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.77/2.55  % (4144345)CaDiCaL version: 2.1.3
% 11.77/2.55  % (4144345)Termination reason: Refutation
% 11.77/2.55  % (4144345)Time elapsed: 1.209 s
% 11.77/2.55  % (4144345)Peak memory usage: 139 MB
% 11.77/2.55  % (4144345)Instructions burned: 1830 (million)
% 11.77/2.55  % (4144345)------------------------------
% 11.77/2.55  % (4144345)------------------------------
% 11.77/2.55  % (4144339)Success in time 1.61 s
% 11.77/2.55  % Vampire exiting
%------------------------------------------------------------------------------