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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : CSR094+7 : TPTP v9.3.1. Bugfixed v7.3.0.
% 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 09:42:56 AM UTC 2026

% Result   : Theorem 28.73s 6.44s
% Output   : Refutation 28.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   27 (  13 unt;   1 def)
%            Number of atoms       :  141 (   9 equ)
%            Maximal formula atoms :   22 (   5 avg)
%            Number of connectives :  174 (  60   ~;  61   |;  45   &)
%                                         (   5 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :   80 (  72   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f26456,axiom,
    ! [X0,X1] :
      ( s__subclass(X0,X1)
     => ( s__instance(X0,s__SetOrClass)
        & s__instance(X1,s__SetOrClass) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_26635) ).

fof(f27201,axiom,
    s__subclass(s__SelfConnectedObject,s__Object),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_27381) ).

fof(f32412,axiom,
    ! [X0,X1,X2] :
      ( X1 = s__UnionFn(X2,X0)
    <=> ! [X3,X4,X5] :
          ( ( s__instance(X2,s__SetOrClass)
            & s__instance(X1,s__SetOrClass)
            & s__instance(X0,s__SetOrClass) )
         => ( ( s__instance(X3,X2)
              & s__instance(X4,X0)
              & s__instance(X5,X1) )
           => ( s__instance(X3,X1)
              & s__instance(X4,X1)
              & ( s__instance(X5,X2)
                | s__instance(X5,X0) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_32603) ).

fof(f55588,conjecture,
    ? [X0] : s__instance(X0,s__CorpuscularObject),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_from_ALL) ).

fof(f55589,negated_conjecture,
    ~ ? [X0] : s__instance(X0,s__CorpuscularObject),
    inference(negated_conjecture,[status(cth)],[f55588]) ).

fof(f55616,plain,
    ! [X0] : ~ s__instance(X0,s__CorpuscularObject),
    inference(ennf_transformation,[],[f55589]) ).

fof(f55637,plain,
    ! [X0,X1] :
      ( ( s__instance(X0,s__SetOrClass)
        & s__instance(X1,s__SetOrClass) )
      | ~ s__subclass(X0,X1) ),
    inference(ennf_transformation,[],[f26456]) ).

fof(f55638,plain,
    ! [X0,X1,X2] :
      ( X1 = s__UnionFn(X2,X0)
    <=> ! [X3,X4,X5] :
          ( ( s__instance(X3,X1)
            & s__instance(X4,X1)
            & ( s__instance(X5,X2)
              | s__instance(X5,X0) ) )
          | ~ s__instance(X3,X2)
          | ~ s__instance(X4,X0)
          | ~ s__instance(X5,X1)
          | ~ s__instance(X2,s__SetOrClass)
          | ~ s__instance(X1,s__SetOrClass)
          | ~ s__instance(X0,s__SetOrClass) ) ),
    inference(ennf_transformation,[],[f32412]) ).

fof(f55639,plain,
    ! [X0,X1,X2] :
      ( X1 = s__UnionFn(X2,X0)
    <=> ! [X3,X4,X5] :
          ( ( s__instance(X3,X1)
            & s__instance(X4,X1)
            & ( s__instance(X5,X2)
              | s__instance(X5,X0) ) )
          | ~ s__instance(X3,X2)
          | ~ s__instance(X4,X0)
          | ~ s__instance(X5,X1)
          | ~ s__instance(X2,s__SetOrClass)
          | ~ s__instance(X1,s__SetOrClass)
          | ~ s__instance(X0,s__SetOrClass) ) ),
    inference(flattening,[],[f55638]) ).

fof(f55768,definition,
    ! [X1,X2,X0] :
      ( sP0(X1,X2,X0)
    <=> ! [X3,X4,X5] :
          ( ( s__instance(X3,X1)
            & s__instance(X4,X1)
            & ( s__instance(X5,X2)
              | s__instance(X5,X0) ) )
          | ~ s__instance(X3,X2)
          | ~ s__instance(X4,X0)
          | ~ s__instance(X5,X1)
          | ~ s__instance(X2,s__SetOrClass)
          | ~ s__instance(X1,s__SetOrClass)
          | ~ s__instance(X0,s__SetOrClass) ) ),
    introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).

fof(f55769,plain,
    ! [X0,X1,X2] :
      ( X1 = s__UnionFn(X2,X0)
    <=> sP0(X1,X2,X0) ),
    inference(definition_folding,[],[f55639,f55768]) ).

fof(f55773,plain,
    ! [X1,X2,X0] :
      ( ( sP0(X1,X2,X0)
        | ? [X3,X4,X5] :
            ( ( ~ s__instance(X3,X1)
              | ~ s__instance(X4,X1)
              | ( ~ s__instance(X5,X2)
                & ~ s__instance(X5,X0) ) )
            & s__instance(X3,X2)
            & s__instance(X4,X0)
            & s__instance(X5,X1)
            & s__instance(X2,s__SetOrClass)
            & s__instance(X1,s__SetOrClass)
            & s__instance(X0,s__SetOrClass) ) )
      & ( ! [X3,X4,X5] :
            ( ( s__instance(X3,X1)
              & s__instance(X4,X1)
              & ( s__instance(X5,X2)
                | s__instance(X5,X0) ) )
            | ~ s__instance(X3,X2)
            | ~ s__instance(X4,X0)
            | ~ s__instance(X5,X1)
            | ~ s__instance(X2,s__SetOrClass)
            | ~ s__instance(X1,s__SetOrClass)
            | ~ s__instance(X0,s__SetOrClass) )
        | ~ sP0(X1,X2,X0) ) ),
    inference(nnf_transformation,[],[f55768]) ).

fof(f55774,plain,
    ! [X0,X1,X2] :
      ( ( sP0(X0,X1,X2)
        | ? [X3,X4,X5] :
            ( ( ~ s__instance(X3,X0)
              | ~ s__instance(X4,X0)
              | ( ~ s__instance(X5,X1)
                & ~ s__instance(X5,X2) ) )
            & s__instance(X3,X1)
            & s__instance(X4,X2)
            & s__instance(X5,X0)
            & s__instance(X1,s__SetOrClass)
            & s__instance(X0,s__SetOrClass)
            & s__instance(X2,s__SetOrClass) ) )
      & ( ! [X6,X7,X8] :
            ( ( s__instance(X6,X0)
              & s__instance(X7,X0)
              & ( s__instance(X8,X1)
                | s__instance(X8,X2) ) )
            | ~ s__instance(X6,X1)
            | ~ s__instance(X7,X2)
            | ~ s__instance(X8,X0)
            | ~ s__instance(X1,s__SetOrClass)
            | ~ s__instance(X0,s__SetOrClass)
            | ~ s__instance(X2,s__SetOrClass) )
        | ~ sP0(X0,X1,X2) ) ),
    inference(rectify,[],[f55773]) ).

fof(f55775,plain,
    ! [X0,X1,X2] :
      ( ( sP0(X0,X1,X2)
        | ( ( ~ s__instance(sK5(X0,X1,X2),X0)
            | ~ s__instance(sK6(X0,X1,X2),X0)
            | ( ~ s__instance(sK7(X0,X1,X2),X1)
              & ~ s__instance(sK7(X0,X1,X2),X2) ) )
          & s__instance(sK5(X0,X1,X2),X1)
          & s__instance(sK6(X0,X1,X2),X2)
          & s__instance(sK7(X0,X1,X2),X0)
          & s__instance(X1,s__SetOrClass)
          & s__instance(X0,s__SetOrClass)
          & s__instance(X2,s__SetOrClass) ) )
      & ( ! [X6,X7,X8] :
            ( ( s__instance(X6,X0)
              & s__instance(X7,X0)
              & ( s__instance(X8,X1)
                | s__instance(X8,X2) ) )
            | ~ s__instance(X6,X1)
            | ~ s__instance(X7,X2)
            | ~ s__instance(X8,X0)
            | ~ s__instance(X1,s__SetOrClass)
            | ~ s__instance(X0,s__SetOrClass)
            | ~ s__instance(X2,s__SetOrClass) )
        | ~ sP0(X0,X1,X2) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6,sK7]),skolemize(X3,sK5(X0,X1,X2)),skolemize(X4,sK6(X0,X1,X2)),skolemize(X5,sK7(X0,X1,X2))],[f55774]) ).

fof(f55776,plain,
    ! [X0,X1,X2] :
      ( ( X1 = s__UnionFn(X2,X0)
        | ~ sP0(X1,X2,X0) )
      & ( sP0(X1,X2,X0)
        | s__UnionFn(X2,X0) != X1 ) ),
    inference(nnf_transformation,[],[f55769]) ).

fof(f55792,plain,
    ! [X0] : ~ s__instance(X0,s__CorpuscularObject),
    inference(cnf_transformation,[],[f55616]) ).

fof(f55822,plain,
    ! [X0,X1] :
      ( ~ s__subclass(X0,X1)
      | s__instance(X0,s__SetOrClass) ),
    inference(cnf_transformation,[],[f55637]) ).

fof(f55831,plain,
    ! [X2,X0,X1] :
      ( s__instance(sK6(X0,X1,X2),X2)
      | sP0(X0,X1,X2) ),
    inference(cnf_transformation,[],[f55775]) ).

fof(f55836,plain,
    ! [X2,X0,X1] :
      ( ~ sP0(X1,X2,X0)
      | s__UnionFn(X2,X0) = X1 ),
    inference(cnf_transformation,[],[f55776]) ).

fof(f55881,plain,
    s__subclass(s__SelfConnectedObject,s__Object),
    inference(cnf_transformation,[],[f27201]) ).

fof(f56072,plain,
    ! [X0,X1] : sP0(X0,X1,s__CorpuscularObject),
    inference(resolution,[],[f55831,f55792]) ).

fof(f56073,plain,
    ! [X0,X1] : s__UnionFn(X0,s__CorpuscularObject) = X1,
    inference(resolution,[],[f56072,f55836]) ).

fof(f56074,plain,
    ! [X2,X0] : X0 = X2,
    inference(superposition,[],[f56073,f56073]) ).

fof(f56095,plain,
    ! [X0] : s__subclass(X0,s__Object),
    inference(superposition,[],[f55881,f56074]) ).

fof(f56104,plain,
    ! [X0,X1] : ~ s__instance(X1,X0),
    inference(superposition,[],[f55792,f56074]) ).

fof(f56109,plain,
    ! [X0] : s__instance(X0,s__SetOrClass),
    inference(resolution,[],[f56095,f55822]) ).

fof(f56113,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f56109,f56104]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR094+7 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18  % Computer : n003.cluster.edu
% 0.08/0.18  % Model    : x86_64 x86_64
% 0.08/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18  % Memory   : 8046.5625MB
% 0.08/0.18  % OS       : Linux 6.8.0-71-generic
% 0.08/0.19  % CPULimit : 300
% 0.08/0.19  % WCLimit  : 300
% 0.08/0.19  % DateTime : Mon Sep 28 22:46:28 UTC 2026
% 0.08/0.19  % CPUTime  : 
% 0.08/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22  Running first-order theorem proving
% 0.08/0.22  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.30/4.19  % (2111258)Detected formulas, will run a generic FOF schedule.
% 14.30/4.19  % (2111267)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2048589121:i=119:av=off:ss=axioms_2982 on theBenchmark for (2982ds/119Mi)
% 14.30/4.19  % (2111263)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=982499268:i=141193_2982 on theBenchmark for (2982ds/141193Mi)
% 14.30/4.19  % (2111264)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=2974291874:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2982 on theBenchmark for (2982ds/134677Mi)
% 14.30/4.19  % (2111266)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1185238554:i=109:sd=1:ins=1:gsp=on:ss=axioms_2982 on theBenchmark for (2982ds/109Mi)
% 14.30/4.19  % (2111265)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=2214350251:i=141695:sd=1:nm=32:gsp=on:ss=included_2982 on theBenchmark for (2982ds/141695Mi)
% 14.30/4.19  % (2111267)Instruction limit reached! 
% 14.30/4.19  % (2111267)------------------------------
% 14.30/4.19  % (2111267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.30/4.19  % (2111267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.30/4.19  % (2111267)CaDiCaL version: 2.1.3
% 14.30/4.19  % (2111267)Termination reason: Instruction limit
% 14.30/4.19  % (2111267)Termination phase: SInE selection
% 14.30/4.19  % (2111267)Time elapsed: 0.044 s
% 14.30/4.19  % (2111267)Peak memory usage: 139 MB
% 14.30/4.19  % (2111267)Instructions burned: 121 (million)
% 14.30/4.19  % (2111268)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2553271961:s2a=on:i=139:gtg=position_2982 on theBenchmark for (2982ds/139Mi)
% 14.30/4.19  % (2111269)dis-21_1_sil=8000:lcm=predicate:random_seed=743483180:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2982 on theBenchmark for (2982ds/129Mi)
% 14.30/4.19  % (2111266)Instruction limit reached! 
% 14.30/4.19  % (2111266)------------------------------
% 14.30/4.19  % (2111266)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.30/4.19  % (2111266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.30/4.19  % (2111266)CaDiCaL version: 2.1.3
% 14.30/4.19  % (2111266)Termination reason: Instruction limit
% 14.30/4.19  % (2111266)Termination phase: SInE selection
% 14.30/4.19  % (2111266)Time elapsed: 0.069 s
% 14.30/4.19  % (2111266)Peak memory usage: 138 MB
% 14.30/4.19  % (2111266)Instructions burned: 110 (million)
% 14.30/4.19  % (2111268)Instruction limit reached! 
% 14.30/4.19  % (2111268)------------------------------
% 14.30/4.19  % (2111268)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.30/4.19  % (2111268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.30/4.19  % (2111268)CaDiCaL version: 2.1.3
% 14.30/4.19  % (2111268)Termination reason: Instruction limit
% 14.30/4.19  % (2111268)Termination phase: Property scanning
% 14.30/4.19  % (2111268)Time elapsed: 0.074 s
% 14.30/4.19  % (2111268)Peak memory usage: 138 MB
% 14.30/4.19  % (2111268)Instructions burned: 141 (million)
% 14.30/4.19  % (2111269)Instruction limit reached! 
% 14.30/4.19  % (2111269)------------------------------
% 14.30/4.19  % (2111269)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.30/4.19  % (2111269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.30/4.19  % (2111269)CaDiCaL version: 2.1.3
% 14.30/4.19  % (2111269)Termination reason: Instruction limit
% 14.30/4.19  % (2111269)Termination phase: SInE selection
% 14.30/4.19  % (2111269)Time elapsed: 0.079 s
% 14.30/4.19  % (2111269)Peak memory usage: 139 MB
% 14.30/4.19  % (2111269)Instructions burned: 130 (million)
% 14.30/4.19  % (2111276)lrs+10_1_sil=8000:sp=occurrence:random_seed=2141662722:i=285:sd=3:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/285Mi)
% 14.30/4.19  % (2111278)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2070015016:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/157Mi)
% 14.30/4.19  % (2111276)Instruction limit reached! 
% 14.30/4.19  % (2111276)------------------------------
% 14.30/4.19  % (2111276)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.30/4.19  % (2111276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.30/4.19  % (2111276)CaDiCaL version: 2.1.3
% 14.30/4.19  % (2111276)Termination reason: Instruction limit
% 18.66/4.82  % (2111276)Termination phase: Saturation
% 18.66/4.82  % (2111276)Time elapsed: 0.121 s
% 18.66/4.82  % (2111276)Peak memory usage: 144 MB
% 18.66/4.82  % (2111276)Instructions burned: 286 (million)
% 18.66/4.82  % (2111280)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=2307990002:s2a=on:i=248:s2at=1.23:gtg=position_2979 on theBenchmark for (2979ds/248Mi)
% 18.66/4.82  % (2111279)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1973957902:i=325:sd=1:ss=axioms:sgt=32_2979 on theBenchmark for (2979ds/325Mi)
% 18.66/4.82  % (2111278)Instruction limit reached! 
% 18.66/4.82  % (2111278)------------------------------
% 18.66/4.82  % (2111278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.66/4.82  % (2111278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.66/4.82  % (2111278)CaDiCaL version: 2.1.3
% 18.66/4.82  % (2111278)Termination reason: Instruction limit
% 18.66/4.82  % (2111278)Termination phase: Property scanning
% 18.66/4.82  % (2111278)Time elapsed: 0.086 s
% 18.66/4.82  % (2111278)Peak memory usage: 138 MB
% 18.66/4.82  % (2111278)Instructions burned: 159 (million)
% 18.66/4.82  % (2111283)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2266030243:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2978 on theBenchmark for (2978ds/294Mi)
% 18.66/4.82  % (2111280)Instruction limit reached! 
% 18.66/4.82  % (2111280)------------------------------
% 18.66/4.82  % (2111280)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.66/4.82  % (2111280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.66/4.82  % (2111280)CaDiCaL version: 2.1.3
% 18.66/4.82  % (2111280)Termination reason: Instruction limit
% 18.66/4.82  % (2111280)Termination phase: Property scanning
% 18.66/4.82  % (2111280)Time elapsed: 0.124 s
% 18.66/4.82  % (2111280)Peak memory usage: 138 MB
% 18.66/4.82  % (2111280)Instructions burned: 249 (million)
% 18.66/4.82  % (2111279)Refutation not found, incomplete strategy
% 18.66/4.82  % (2111279)------------------------------
% 18.66/4.82  % (2111279)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.66/4.82  % (2111279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.66/4.82  % (2111279)CaDiCaL version: 2.1.3
% 18.66/4.82  % (2111279)Termination reason: Refutation not found, incomplete strategy
% 18.66/4.82  % (2111279)Time elapsed: 0.157 s
% 18.66/4.82  % (2111279)Peak memory usage: 142 MB
% 18.66/4.82  % (2111279)Instructions burned: 201 (million)
% 18.66/4.82  % (2111286)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=353194160:i=2350_2977 on theBenchmark for (2977ds/2350Mi)
% 18.66/4.82  % (2111283)Instruction limit reached! 
% 18.66/4.82  % (2111283)------------------------------
% 18.66/4.82  % (2111283)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.66/4.82  % (2111283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.66/4.82  % (2111283)CaDiCaL version: 2.1.3
% 18.66/4.82  % (2111283)Termination reason: Instruction limit
% 18.66/4.82  % (2111283)Termination phase: Saturation
% 18.66/4.82  % (2111283)Time elapsed: 0.114 s
% 18.66/4.82  % (2111283)Peak memory usage: 142 MB
% 18.66/4.82  % (2111283)Instructions burned: 301 (million)
% 18.66/4.82  % (2111288)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=541721882:cts=off:i=113:fsr=off:ss=included:sgt=4_2976 on theBenchmark for (2976ds/113Mi)
% 18.66/4.82  % (2111290)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1310931920:i=127:av=off:fsr=off:sup=off_2975 on theBenchmark for (2975ds/127Mi)
% 18.66/4.82  % (2111288)Instruction limit reached! 
% 18.66/4.82  % (2111288)------------------------------
% 18.66/4.82  % (2111288)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.66/4.82  % (2111288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.66/4.82  % (2111288)CaDiCaL version: 2.1.3
% 18.66/4.82  % (2111288)Termination reason: Instruction limit
% 18.66/4.82  % (2111288)Termination phase: SInE selection
% 18.66/4.82  % (2111288)Time elapsed: 0.069 s
% 18.66/4.82  % (2111288)Peak memory usage: 139 MB
% 18.66/4.82  % (2111288)Instructions burned: 113 (million)
% 18.66/4.82  % (2111290)Instruction limit reached! 
% 18.66/4.82  % (2111290)------------------------------
% 18.66/4.82  % (2111290)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.66/4.82  % (2111290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.66/4.82  % (2111290)CaDiCaL version: 2.1.3
% 18.66/4.82  % (2111290)Termination reason: Instruction limit
% 15.68/6.17  % (2111290)Termination phase: Preprocessing 1
% 15.68/6.17  % (2111290)Time elapsed: 0.049 s
% 15.68/6.17  % (2111290)Peak memory usage: 138 MB
% 15.68/6.17  % (2111290)Instructions burned: 129 (million)
% 15.68/6.17  % (2111279)------------------------------
% 15.68/6.17  % (2111279)------------------------------
% 15.68/6.17  % (2111294)lrs+10_1_sil=8000:sp=occurrence:random_seed=2119226496:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2973 on theBenchmark for (2973ds/907Mi)
% 15.68/6.17  % (2111293)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2517129028:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2974 on theBenchmark for (2974ds/114Mi)
% 15.68/6.17  % (2111293)Instruction limit reached! 
% 15.68/6.17  % (2111293)------------------------------
% 15.68/6.17  % (2111293)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.68/6.17  % (2111293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.68/6.17  % (2111293)CaDiCaL version: 2.1.3
% 15.68/6.17  % (2111293)Termination reason: Instruction limit
% 15.68/6.17  % (2111293)Termination phase: Property scanning
% 15.68/6.17  % (2111293)Time elapsed: 0.066 s
% 15.68/6.17  % (2111293)Peak memory usage: 138 MB
% 15.68/6.17  % (2111293)Instructions burned: 116 (million)
% 15.68/6.17  % (2111295)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2294096772:i=437:sd=1:aac=none:ss=included_2973 on theBenchmark for (2973ds/437Mi)
% 15.68/6.17  % (2111295)Refutation not found, incomplete strategy
% 15.68/6.17  % (2111295)------------------------------
% 15.68/6.17  % (2111295)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.68/6.17  % (2111295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.68/6.17  % (2111295)CaDiCaL version: 2.1.3
% 15.68/6.17  % (2111295)Termination reason: Refutation not found, incomplete strategy
% 15.68/6.17  % (2111295)Time elapsed: 0.150 s
% 15.68/6.17  % (2111295)Peak memory usage: 143 MB
% 15.68/6.17  % (2111295)Instructions burned: 200 (million)
% 15.68/6.17  % (2111298)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3473577885:i=5202:ss=axioms:sgt=16_2971 on theBenchmark for (2971ds/5202Mi)
% 15.68/6.17  % (2111294)Instruction limit reached! 
% 15.68/6.17  % (2111294)------------------------------
% 15.68/6.17  % (2111294)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.68/6.17  % (2111294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.68/6.17  % (2111294)CaDiCaL version: 2.1.3
% 15.68/6.17  % (2111294)Termination reason: Instruction limit
% 15.68/6.17  % (2111294)Termination phase: Saturation
% 15.68/6.17  % (2111294)Time elapsed: 0.295 s
% 15.68/6.17  % (2111294)Peak memory usage: 148 MB
% 15.68/6.17  % (2111294)Instructions burned: 908 (million)
% 15.68/6.17  % (2111301)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=216475414:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2969 on theBenchmark for (2969ds/134Mi)
% 15.68/6.17  % (2111301)Instruction limit reached! 
% 15.68/6.17  % (2111301)------------------------------
% 15.68/6.17  % (2111301)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.68/6.17  % (2111301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.68/6.17  % (2111301)CaDiCaL version: 2.1.3
% 15.68/6.17  % (2111301)Termination reason: Instruction limit
% 15.68/6.17  % (2111301)Termination phase: SInE selection
% 15.68/6.17  % (2111301)Time elapsed: 0.051 s
% 15.68/6.17  % (2111301)Peak memory usage: 139 MB
% 15.68/6.17  % (2111301)Instructions burned: 136 (million)
% 15.68/6.17  % (2111295)------------------------------
% 15.68/6.17  % (2111295)------------------------------
% 15.68/6.17  % (2111303)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=319562529:st=8:i=592:sd=3:ep=RST:ss=axioms_2967 on theBenchmark for (2967ds/592Mi)
% 15.68/6.17  % (2111304)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3088491762:st=3:i=13193:sd=3:ss=axioms_2967 on theBenchmark for (2967ds/13193Mi)
% 15.68/6.17  % (2111265)Refutation not found, incomplete strategy
% 15.68/6.17  % (2111265)------------------------------
% 15.68/6.17  % (2111265)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.68/6.17  % (2111265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.68/6.17  % (2111265)CaDiCaL version: 2.1.3
% 15.68/6.17  % (2111265)Termination reason: Refutation not found, incomplete strategy
% 15.68/6.17  % (2111265)Time elapsed: 1.602 s
% 15.68/6.17  % (2111265)Peak memory usage: 300 MB
% 15.68/6.17  % (2111265)Instructions burned: 2131 (million)
% 15.68/6.17  % (2111303)Instruction limit reached! 
% 15.68/6.17  % (2111303)------------------------------
% 15.68/6.17  % (2111303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.68/6.17  % (2111303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.68/6.17  % (2111303)CaDiCaL version: 2.1.3
% 15.68/6.17  % (2111303)Termination reason: Instruction limit
% 15.68/6.17  % (2111303)Termination phase: Saturation
% 15.68/6.17  % (2111303)Time elapsed: 0.214 s
% 15.68/6.17  % (2111303)Peak memory usage: 148 MB
% 15.68/6.17  % (2111303)Instructions burned: 595 (million)
% 15.68/6.17  % (2111307)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=529360086:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2964 on theBenchmark for (2964ds/125Mi)
% 15.68/6.17  % (2111307)Instruction limit reached! 
% 15.68/6.17  % (2111307)------------------------------
% 15.68/6.17  % (2111307)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.68/6.17  % (2111307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.68/6.17  % (2111307)CaDiCaL version: 2.1.3
% 15.68/6.17  % (2111307)Termination reason: Instruction limit
% 15.68/6.17  % (2111307)Termination phase: Property scanning
% 15.68/6.17  % (2111307)Time elapsed: 0.040 s
% 15.68/6.17  % (2111307)Peak memory usage: 138 MB
% 15.68/6.17  % (2111307)Instructions burned: 126 (million)
% 15.68/6.17  % (2111265)------------------------------
% 15.68/6.17  % (2111265)------------------------------
% 15.68/6.17  % (2111309)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1484040915:i=134:gtgl=5:slsql=off:gtg=exists_sym_2962 on theBenchmark for (2962ds/134Mi)
% 15.68/6.17  % (2111309)Instruction limit reached! 
% 15.68/6.17  % (2111309)------------------------------
% 15.68/6.17  % (2111309)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.68/6.17  % (2111309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.68/6.17  % (2111309)CaDiCaL version: 2.1.3
% 15.68/6.17  % (2111309)Termination reason: Instruction limit
% 15.68/6.17  % (2111309)Termination phase: Property scanning
% 15.68/6.17  % (2111309)Time elapsed: 0.043 s
% 15.68/6.17  % (2111309)Peak memory usage: 138 MB
% 15.68/6.17  % (2111309)Instructions burned: 138 (million)
% 15.68/6.17  % (2111286)Instruction limit reached! 
% 15.68/6.17  % (2111286)------------------------------
% 15.68/6.17  % (2111286)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.68/6.17  % (2111286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.68/6.17  % (2111286)CaDiCaL version: 2.1.3
% 15.68/6.17  % (2111286)Termination reason: Instruction limit
% 15.68/6.17  % (2111286)Termination phase: Saturation
% 15.68/6.17  % (2111286)Time elapsed: 1.548 s
% 15.68/6.17  % (2111286)Peak memory usage: 248 MB
% 15.68/6.17  % (2111286)Instructions burned: 2351 (million)
% 15.68/6.17  % (2111310)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=4112822834:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2961 on theBenchmark for (2961ds/141Mi)
% 15.68/6.17  % (2111312)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2833277322:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2960 on theBenchmark for (2960ds/431Mi)
% 15.68/6.17  % (2111310)Instruction limit reached! 
% 15.68/6.17  % (2111310)------------------------------
% 15.68/6.17  % (2111310)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.68/6.17  % (2111310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.68/6.17  % (2111310)CaDiCaL version: 2.1.3
% 15.68/6.17  % (2111310)Termination reason: Instruction limit
% 15.68/6.17  % (2111310)Termination phase: SInE selection
% 15.68/6.17  % (2111310)Time elapsed: 0.094 s
% 15.68/6.17  % (2111310)Peak memory usage: 139 MB
% 15.68/6.17  % (2111310)Instructions burned: 141 (million)
% 15.68/6.17  % (2111312)Refutation not found, incomplete strategy
% 15.68/6.17  % (2111312)------------------------------
% 15.68/6.17  % (2111312)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.68/6.17  % (2111312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.68/6.17  % (2111312)CaDiCaL version: 2.1.3
% 15.68/6.17  % (2111312)Termination reason: Refutation not found, incomplete strategy
% 15.68/6.17  % (2111312)Time elapsed: 0.093 s
% 15.68/6.17  % (2111312)Peak memory usage: 142 MB
% 15.68/6.17  % (2111312)Instructions burned: 201 (million)
% 15.68/6.17  % (2111313)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1240432472:i=6060:aac=none:ins=25_2960 on theBenchmark for (2960ds/6060Mi)
% 28.73/6.44  % (2111316)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=2915050268:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2958 on theBenchmark for (2958ds/150Mi)
% 28.73/6.44  % (2111312)------------------------------
% 28.73/6.44  % (2111312)------------------------------
% 28.73/6.44  % (2111316)Instruction limit reached! 
% 28.73/6.44  % (2111316)------------------------------
% 28.73/6.44  % (2111316)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.73/6.44  % (2111316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.73/6.44  % (2111316)CaDiCaL version: 2.1.3
% 28.73/6.44  % (2111316)Termination reason: Instruction limit
% 28.73/6.44  % (2111316)Termination phase: SInE selection
% 28.73/6.44  % (2111316)Time elapsed: 0.101 s
% 28.73/6.44  % (2111316)Peak memory usage: 139 MB
% 28.73/6.44  % (2111316)Instructions burned: 150 (million)
% 28.73/6.44  % (2111319)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1742425542:i=14155:bd=all_2956 on theBenchmark for (2956ds/14155Mi)
% 28.73/6.44  % (2111320)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=1012678420:i=667:av=off:fsr=off_2955 on theBenchmark for (2955ds/667Mi)
% 28.73/6.44  % (2111304)First to succeed.
% 28.73/6.44  % (2111304)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2111258"
% 28.73/6.44  % (2111320)Instruction limit reached! 
% 28.73/6.44  % (2111320)------------------------------
% 28.73/6.44  % (2111320)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.73/6.44  % (2111320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.73/6.44  % (2111320)CaDiCaL version: 2.1.3
% 28.73/6.44  % (2111320)Termination reason: Instruction limit
% 28.73/6.44  % (2111320)Termination phase: NewCNF
% 28.73/6.44  % (2111320)Time elapsed: 0.533 s
% 28.73/6.44  % (2111320)Peak memory usage: 162 MB
% 28.73/6.44  % (2111320)Instructions burned: 668 (million)
% 28.73/6.44  % (2111323)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=3869251906:s2a=on:i=185:s2at=1.8:fdi=4_2948 on theBenchmark for (2948ds/185Mi)
% 28.73/6.44  % (2111323)Instruction limit reached! 
% 28.73/6.44  % (2111323)------------------------------
% 28.73/6.44  % (2111323)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.73/6.44  % (2111323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.73/6.44  % (2111323)CaDiCaL version: 2.1.3
% 28.73/6.44  % (2111323)Termination reason: Instruction limit
% 28.73/6.44  % (2111323)Termination phase: SInE selection
% 28.73/6.44  % (2111323)Time elapsed: 0.107 s
% 28.73/6.44  % (2111323)Peak memory usage: 139 MB
% 28.73/6.44  % (2111323)Instructions burned: 186 (million)
% 28.73/6.44  % (2111304)Refutation found. Thanks to Tanya!
% 28.73/6.44  % SZS status Theorem for theBenchmark
% 28.73/6.44  % SZS output start Proof for theBenchmark
% See solution above
% 28.73/6.44  % (2111304)------------------------------
% 28.73/6.44  % (2111304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.73/6.44  % (2111304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.73/6.44  % (2111304)CaDiCaL version: 2.1.3
% 28.73/6.44  % (2111304)Termination reason: Refutation
% 28.73/6.44  % (2111304)Time elapsed: 1.672 s
% 28.73/6.44  % (2111304)Peak memory usage: 290 MB
% 28.73/6.44  % (2111304)Instructions burned: 2318 (million)
% 28.73/6.44  % (2111304)------------------------------
% 28.73/6.44  % (2111304)------------------------------
% 28.73/6.44  % (2111258)Success in time 5.508 s
% 28.73/6.44  % Vampire exiting
%------------------------------------------------------------------------------