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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SEV629+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n009.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 12:59:35 PM UTC 2026

% Result   : Theorem 22.97s 3.94s
% Output   : Refutation 22.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   29 (  11 unt;   0 def)
%            Number of atoms       :   87 (   2 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :   93 (  35   ~;  33   |;  16   &)
%                                         (   6 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :   70 (  66   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f181,axiom,
    ! [X0,X1] :
      ( cCoq_2eRelations_2eRelation__Definitions_2ereflexive___24a2(X0,X1)
    <=> ! [X2] :
          ( t(X2,X0)
         => p(happ(happ(X1,X2),X2)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_def_Coq.Relations.Relation_Definitions.reflexive') ).

fof(f290,axiom,
    ! [X0,X1,X2] :
      ( cHahnSets_2eset__subset___24a3(X0,X1,X2)
    <=> ! [X3] :
          ( t(X3,X0)
         => ( p(happ(X1,X3))
           => p(happ(X2,X3)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_def_HahnSets.set_subset') ).

fof(f2077,axiom,
    ! [X0] : happ(cHahnSets_2eset__subset,X0) = cHahnSets_2eset__subset___24a1(X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$adef_HahnSets.set_subset_$a1') ).

fof(f2469,axiom,
    ! [X0,X1,X2] :
      ( p(happ(happ(happ(cHahnSets_2eset__subset,X0),X1),X2))
    <=> cHahnSets_2eset__subset___24a3(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$adef_HahnSets.set_subset_$a3') ).

fof(f2963,conjecture,
    cCoq_2eRelations_2eRelation__Definitions_2ereflexive___24a2(c_24__type__35378,cHahnSets_2eset__subset___24a1(cA)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','_HAMMER_GOAL') ).

fof(f2964,negated_conjecture,
    ~ cCoq_2eRelations_2eRelation__Definitions_2ereflexive___24a2(c_24__type__35378,cHahnSets_2eset__subset___24a1(cA)),
    inference(negated_conjecture,[status(cth)],[f2963]) ).

fof(f3001,plain,
    ~ cCoq_2eRelations_2eRelation__Definitions_2ereflexive___24a2(c_24__type__35378,cHahnSets_2eset__subset___24a1(cA)),
    inference(flattening,[],[f2964]) ).

fof(f3302,plain,
    ! [X0,X1] :
      ( cCoq_2eRelations_2eRelation__Definitions_2ereflexive___24a2(X0,X1)
    <=> ! [X2] :
          ( p(happ(happ(X1,X2),X2))
          | ~ t(X2,X0) ) ),
    inference(ennf_transformation,[],[f181]) ).

fof(f3390,plain,
    ! [X0,X1,X2] :
      ( cHahnSets_2eset__subset___24a3(X0,X1,X2)
    <=> ! [X3] :
          ( p(happ(X2,X3))
          | ~ p(happ(X1,X3))
          | ~ t(X3,X0) ) ),
    inference(ennf_transformation,[],[f290]) ).

fof(f3391,plain,
    ! [X0,X1,X2] :
      ( cHahnSets_2eset__subset___24a3(X0,X1,X2)
    <=> ! [X3] :
          ( p(happ(X2,X3))
          | ~ p(happ(X1,X3))
          | ~ t(X3,X0) ) ),
    inference(flattening,[],[f3390]) ).

fof(f6817,plain,
    ! [X0,X1] :
      ( ( cCoq_2eRelations_2eRelation__Definitions_2ereflexive___24a2(X0,X1)
        | ? [X2] :
            ( ~ p(happ(happ(X1,X2),X2))
            & t(X2,X0) ) )
      & ( ! [X2] :
            ( p(happ(happ(X1,X2),X2))
            | ~ t(X2,X0) )
        | ~ cCoq_2eRelations_2eRelation__Definitions_2ereflexive___24a2(X0,X1) ) ),
    inference(nnf_transformation,[],[f3302]) ).

fof(f6818,plain,
    ! [X0,X1] :
      ( ( cCoq_2eRelations_2eRelation__Definitions_2ereflexive___24a2(X0,X1)
        | ? [X2] :
            ( ~ p(happ(happ(X1,X2),X2))
            & t(X2,X0) ) )
      & ( ! [X3] :
            ( p(happ(happ(X1,X3),X3))
            | ~ t(X3,X0) )
        | ~ cCoq_2eRelations_2eRelation__Definitions_2ereflexive___24a2(X0,X1) ) ),
    inference(rectify,[],[f6817]) ).

fof(f6819,plain,
    ! [X0,X1] :
      ( ( cCoq_2eRelations_2eRelation__Definitions_2ereflexive___24a2(X0,X1)
        | ( ~ p(happ(happ(X1,sK1303(X0,X1)),sK1303(X0,X1)))
          & t(sK1303(X0,X1),X0) ) )
      & ( ! [X3] :
            ( p(happ(happ(X1,X3),X3))
            | ~ t(X3,X0) )
        | ~ cCoq_2eRelations_2eRelation__Definitions_2ereflexive___24a2(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1303]),skolemize(X2,sK1303(X0,X1))],[f6818]) ).

fof(f7407,plain,
    ! [X0,X1,X2] :
      ( ( cHahnSets_2eset__subset___24a3(X0,X1,X2)
        | ? [X3] :
            ( ~ p(happ(X2,X3))
            & p(happ(X1,X3))
            & t(X3,X0) ) )
      & ( ! [X3] :
            ( p(happ(X2,X3))
            | ~ p(happ(X1,X3))
            | ~ t(X3,X0) )
        | ~ cHahnSets_2eset__subset___24a3(X0,X1,X2) ) ),
    inference(nnf_transformation,[],[f3391]) ).

fof(f7408,plain,
    ! [X0,X1,X2] :
      ( ( cHahnSets_2eset__subset___24a3(X0,X1,X2)
        | ? [X3] :
            ( ~ p(happ(X2,X3))
            & p(happ(X1,X3))
            & t(X3,X0) ) )
      & ( ! [X4] :
            ( p(happ(X2,X4))
            | ~ p(happ(X1,X4))
            | ~ t(X4,X0) )
        | ~ cHahnSets_2eset__subset___24a3(X0,X1,X2) ) ),
    inference(rectify,[],[f7407]) ).

fof(f7409,plain,
    ! [X0,X1,X2] :
      ( ( cHahnSets_2eset__subset___24a3(X0,X1,X2)
        | ( ~ p(happ(X2,sK1440(X0,X1,X2)))
          & p(happ(X1,sK1440(X0,X1,X2)))
          & t(sK1440(X0,X1,X2),X0) ) )
      & ( ! [X4] :
            ( p(happ(X2,X4))
            | ~ p(happ(X1,X4))
            | ~ t(X4,X0) )
        | ~ cHahnSets_2eset__subset___24a3(X0,X1,X2) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1440]),skolemize(X3,sK1440(X0,X1,X2))],[f7408]) ).

fof(f10211,plain,
    ! [X0,X1,X2] :
      ( ( p(happ(happ(happ(cHahnSets_2eset__subset,X0),X1),X2))
        | ~ cHahnSets_2eset__subset___24a3(X0,X1,X2) )
      & ( cHahnSets_2eset__subset___24a3(X0,X1,X2)
        | ~ p(happ(happ(happ(cHahnSets_2eset__subset,X0),X1),X2)) ) ),
    inference(nnf_transformation,[],[f2469]) ).

fof(f11866,plain,
    ! [X0,X1] :
      ( ~ p(happ(happ(X1,sK1303(X0,X1)),sK1303(X0,X1)))
      | cCoq_2eRelations_2eRelation__Definitions_2ereflexive___24a2(X0,X1) ),
    inference(cnf_transformation,[],[f6819]) ).

fof(f12607,plain,
    ! [X2,X0,X1] :
      ( p(happ(X1,sK1440(X0,X1,X2)))
      | cHahnSets_2eset__subset___24a3(X0,X1,X2) ),
    inference(cnf_transformation,[],[f7409]) ).

fof(f12608,plain,
    ! [X2,X0,X1] :
      ( ~ p(happ(X2,sK1440(X0,X1,X2)))
      | cHahnSets_2eset__subset___24a3(X0,X1,X2) ),
    inference(cnf_transformation,[],[f7409]) ).

fof(f17241,plain,
    ! [X0] : happ(cHahnSets_2eset__subset,X0) = cHahnSets_2eset__subset___24a1(X0),
    inference(cnf_transformation,[],[f2077]) ).

fof(f17724,plain,
    ! [X2,X0,X1] :
      ( ~ cHahnSets_2eset__subset___24a3(X0,X1,X2)
      | p(happ(happ(happ(cHahnSets_2eset__subset,X0),X1),X2)) ),
    inference(cnf_transformation,[],[f10211]) ).

fof(f18664,plain,
    ~ cCoq_2eRelations_2eRelation__Definitions_2ereflexive___24a2(c_24__type__35378,cHahnSets_2eset__subset___24a1(cA)),
    inference(cnf_transformation,[],[f3001]) ).

fof(f20210,plain,
    ~ cCoq_2eRelations_2eRelation__Definitions_2ereflexive___24a2(c_24__type__35378,happ(cHahnSets_2eset__subset,cA)),
    inference(definition_unfolding,[],[f18664,f17241]) ).

fof(f21162,plain,
    ! [X0,X1] :
      ( cHahnSets_2eset__subset___24a3(X0,X1,X1)
      | cHahnSets_2eset__subset___24a3(X0,X1,X1) ),
    inference(resolution,[],[f12608,f12607]) ).

fof(f21163,plain,
    ! [X0,X1] : cHahnSets_2eset__subset___24a3(X0,X1,X1),
    inference(duplicate_literal_removal,[],[f21162]) ).

fof(f21183,plain,
    ! [X0,X1] : p(happ(happ(happ(cHahnSets_2eset__subset,X0),X1),X1)),
    inference(resolution,[],[f21163,f17724]) ).

fof(f21324,plain,
    ! [X0,X1] : cCoq_2eRelations_2eRelation__Definitions_2ereflexive___24a2(X0,happ(cHahnSets_2eset__subset,X1)),
    inference(resolution,[],[f21183,f11866]) ).

fof(f21628,plain,
    $false,
    inference(resolution,[],[f21324,f20210]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEV629+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37  % Computer : n009.cluster.edu
% 0.09/0.37  % Model    : x86_64 x86_64
% 0.09/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37  % Memory   : 8046.5625MB
% 0.09/0.37  % OS       : Linux 6.8.0-71-generic
% 0.09/0.37  % CPULimit : 300
% 0.09/0.37  % WCLimit  : 300
% 0.09/0.37  % DateTime : Mon Sep 28 06:44:45 UTC 2026
% 0.09/0.38  % CPUTime  : 
% 0.09/0.38  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.41  Running first-order model finding
% 0.09/0.41  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.83/1.95  % (2840689)Will run a generic schedule for satisfiability detection.
% 7.83/1.95  % (2840697)dis+10_1_sil=32000:sp=arity:random_seed=3830613579:i=103:fgj=on_2998 on theBenchmark for (2998ds/103Mi)
% 7.83/1.95  % (2840695)% WARNING: option uhcvi not known.
% 7.83/1.95  % (2840694)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=691784288_2998 on theBenchmark for (2998ds/0Mi)
% 7.83/1.95  % (2840696)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3227819088:i=88024:add=on:rawr=on_2998 on theBenchmark for (2998ds/88024Mi)
% 7.83/1.95  % (2840695)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=361891728:i=135531:add=off:rawr=on_2998 on theBenchmark for (2998ds/135531Mi)
% 7.83/1.95  % (2840698)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=16041071:i=116_2998 on theBenchmark for (2998ds/116Mi)
% 7.83/1.95  % (2840699)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=963340448:i=131_2998 on theBenchmark for (2998ds/131Mi)
% 7.83/1.95  % (2840700)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1030576588:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2998 on theBenchmark for (2998ds/159Mi)
% 7.83/1.95  % (2840697)Instruction limit reached! 
% 7.83/1.95  % (2840697)------------------------------
% 7.83/1.95  % (2840697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.83/1.95  % (2840697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.83/1.95  % (2840697)CaDiCaL version: 2.1.3
% 7.83/1.95  % (2840697)Termination reason: Instruction limit
% 7.83/1.95  % (2840697)Termination phase: Preprocessing 3
% 7.83/1.95  % (2840697)Time elapsed: 0.036 s
% 7.83/1.95  % (2840697)Peak memory usage: 20 MB
% 7.83/1.95  % (2840697)Instructions burned: 104 (million)
% 7.83/1.95  % (2840708)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3135446202:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 7.83/1.95  % (2840698)Instruction limit reached! 
% 7.83/1.95  % (2840698)------------------------------
% 7.83/1.95  % (2840698)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.83/1.95  % (2840698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.83/1.95  % (2840698)CaDiCaL version: 2.1.3
% 7.83/1.95  % (2840698)Termination reason: Instruction limit
% 7.83/1.95  % (2840698)Termination phase: NewCNF
% 7.83/1.95  % (2840698)Time elapsed: 0.070 s
% 7.83/1.95  % (2840698)Peak memory usage: 19 MB
% 7.83/1.95  % (2840698)Instructions burned: 116 (million)
% 7.83/1.95  % (2840699)Instruction limit reached! 
% 7.83/1.95  % (2840699)------------------------------
% 7.83/1.95  % (2840699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.83/1.95  % (2840699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.83/1.95  % (2840699)CaDiCaL version: 2.1.3
% 7.83/1.95  % (2840699)Termination reason: Instruction limit
% 7.83/1.95  % (2840699)Termination phase: Property scanning
% 7.83/1.95  % (2840699)Time elapsed: 0.080 s
% 7.83/1.95  % (2840699)Peak memory usage: 22 MB
% 7.83/1.95  % (2840699)Instructions burned: 131 (million)
% 7.83/1.95  % (2840710)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2918719041:i=131:bd=preordered:fsd=on_2997 on theBenchmark for (2997ds/131Mi)
% 7.83/1.95  % (2840700)Instruction limit reached! 
% 7.83/1.95  % (2840700)------------------------------
% 7.83/1.95  % (2840700)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.83/1.95  % (2840700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.83/1.95  % (2840700)CaDiCaL version: 2.1.3
% 7.83/1.95  % (2840700)Termination reason: Instruction limit
% 7.83/1.95  % (2840700)Termination phase: Property scanning
% 7.83/1.95  % (2840700)Time elapsed: 0.092 s
% 7.83/1.95  % (2840700)Peak memory usage: 21 MB
% 7.83/1.95  % (2840700)Instructions burned: 160 (million)
% 7.83/1.95  % (2840711)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2991513390:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2997 on theBenchmark for (2997ds/684Mi)
% 7.83/1.95  % (2840713)ott-21_1_sil=16000:fs=off:random_seed=2606676335:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 7.83/1.95  % (2840710)Instruction limit reached! 
% 7.83/1.95  % (2840710)------------------------------
% 7.83/1.95  % (2840710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.83/1.95  % (2840710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.98/3.24  % (2840710)CaDiCaL version: 2.1.3
% 18.98/3.24  % (2840710)Termination reason: Instruction limit
% 18.98/3.24  % (2840710)Termination phase: Property scanning
% 18.98/3.24  % (2840710)Time elapsed: 0.080 s
% 18.98/3.24  % (2840710)Peak memory usage: 21 MB
% 18.98/3.24  % (2840710)Instructions burned: 132 (million)
% 18.98/3.24  % (2840716)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3010069477:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 18.98/3.24  % (2840713)Instruction limit reached! 
% 18.98/3.24  % (2840713)------------------------------
% 18.98/3.24  % (2840713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.98/3.24  % (2840713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.98/3.24  % (2840713)CaDiCaL version: 2.1.3
% 18.98/3.24  % (2840713)Termination reason: Instruction limit
% 18.98/3.24  % (2840713)Termination phase: Property scanning
% 18.98/3.24  % (2840713)Time elapsed: 0.097 s
% 18.98/3.24  % (2840713)Peak memory usage: 21 MB
% 18.98/3.24  % (2840713)Instructions burned: 180 (million)
% 18.98/3.24  % (2840708)Instruction limit reached! 
% 18.98/3.24  % (2840708)------------------------------
% 18.98/3.24  % (2840708)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.98/3.24  % (2840708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.98/3.24  % (2840708)CaDiCaL version: 2.1.3
% 18.98/3.24  % (2840708)Termination reason: Instruction limit
% 18.98/3.24  % (2840708)Termination phase: Finite model building preprocessing
% 18.98/3.24  % (2840708)Time elapsed: 0.186 s
% 18.98/3.24  % (2840708)Peak memory usage: 31 MB
% 18.98/3.24  % (2840708)Instructions burned: 717 (million)
% 18.98/3.24  % (2840718)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=329168515:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 18.98/3.24  % (2840719)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3314632804:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 18.98/3.24  % (2840711)Instruction limit reached! 
% 18.98/3.24  % (2840711)------------------------------
% 18.98/3.24  % (2840711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.98/3.24  % (2840711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.98/3.24  % (2840711)CaDiCaL version: 2.1.3
% 18.98/3.24  % (2840711)Termination reason: Instruction limit
% 18.98/3.24  % (2840711)Termination phase: Saturation
% 18.98/3.24  % (2840711)Time elapsed: 0.291 s
% 18.98/3.24  % (2840711)Peak memory usage: 25 MB
% 18.98/3.24  % (2840711)Instructions burned: 685 (million)
% 18.98/3.24  % (2840722)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3173236424:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 18.98/3.24  % (2840716)Instruction limit reached! 
% 18.98/3.24  % (2840716)------------------------------
% 18.98/3.24  % (2840716)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.98/3.24  % (2840716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.98/3.24  % (2840716)CaDiCaL version: 2.1.3
% 18.98/3.24  % (2840716)Termination reason: Instruction limit
% 18.98/3.24  % (2840716)Termination phase: Saturation
% 18.98/3.24  % (2840716)Time elapsed: 0.229 s
% 18.98/3.24  % (2840716)Peak memory usage: 25 MB
% 18.98/3.24  % (2840716)Instructions burned: 478 (million)
% 18.98/3.24  % (2840724)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3832844084:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 18.98/3.24  % (2840719)Instruction limit reached! 
% 18.98/3.24  % (2840719)------------------------------
% 18.98/3.24  % (2840719)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.98/3.24  % (2840719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.98/3.24  % (2840719)CaDiCaL version: 2.1.3
% 18.98/3.24  % (2840719)Termination reason: Instruction limit
% 18.98/3.24  % (2840719)Termination phase: Saturation
% 18.98/3.24  % (2840719)Time elapsed: 0.335 s
% 18.98/3.24  % (2840719)Peak memory usage: 38 MB
% 18.98/3.24  % (2840719)Instructions burned: 1182 (million)
% 18.98/3.24  % (2840726)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2223378095:i=879:kws=inv_precedence:fsr=off_2992 on theBenchmark for (2992ds/879Mi)
% 18.98/3.24  % (2840718)Instruction limit reached! 
% 18.98/3.24  % (2840718)------------------------------
% 18.98/3.24  % (2840718)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.98/3.24  % (2840718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.97/3.93  % (2840718)CaDiCaL version: 2.1.3
% 22.97/3.93  % (2840718)Termination reason: Instruction limit
% 22.97/3.93  % (2840718)Termination phase: Finite model building preprocessing
% 22.97/3.93  % (2840718)Time elapsed: 0.431 s
% 22.97/3.93  % (2840718)Peak memory usage: 30 MB
% 22.97/3.93  % (2840718)Instructions burned: 866 (million)
% 22.97/3.93  % (2840728)fmb+10_1_sil=64000:random_seed=430988110:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 22.97/3.93  % (2840724)Instruction limit reached! 
% 22.97/3.93  % (2840724)------------------------------
% 22.97/3.93  % (2840724)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.97/3.93  % (2840724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.97/3.93  % (2840724)CaDiCaL version: 2.1.3
% 22.97/3.93  % (2840724)Termination reason: Instruction limit
% 22.97/3.93  % (2840724)Termination phase: Saturation
% 22.97/3.93  % (2840724)Time elapsed: 0.323 s
% 22.97/3.93  % (2840724)Peak memory usage: 29 MB
% 22.97/3.93  % (2840724)Instructions burned: 692 (million)
% 22.97/3.93  % (2840730)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1583282777:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 22.97/3.93  % (2840726)Instruction limit reached! 
% 22.97/3.93  % (2840726)------------------------------
% 22.97/3.93  % (2840726)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.97/3.93  % (2840726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.97/3.93  % (2840726)CaDiCaL version: 2.1.3
% 22.97/3.93  % (2840726)Termination reason: Instruction limit
% 22.97/3.93  % (2840726)Termination phase: Saturation
% 22.97/3.93  % (2840726)Time elapsed: 0.215 s
% 22.97/3.93  % (2840726)Peak memory usage: 33 MB
% 22.97/3.93  % (2840726)Instructions burned: 880 (million)
% 22.97/3.93  % (2840732)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=4169940267:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 22.97/3.93  % (2840722)Instruction limit reached! 
% 22.97/3.93  % (2840722)------------------------------
% 22.97/3.93  % (2840722)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.97/3.93  % (2840722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.97/3.93  % (2840722)CaDiCaL version: 2.1.3
% 22.97/3.93  % (2840722)Termination reason: Instruction limit
% 22.97/3.93  % (2840722)Termination phase: Finite model building preprocessing
% 22.97/3.93  % (2840722)Time elapsed: 0.441 s
% 22.97/3.93  % (2840722)Peak memory usage: 30 MB
% 22.97/3.93  % (2840722)Instructions burned: 889 (million)
% 22.97/3.93  % (2840734)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3227186104:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 22.97/3.93  % (2840732)Instruction limit reached! 
% 22.97/3.93  % (2840732)------------------------------
% 22.97/3.93  % (2840732)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.97/3.93  % (2840732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.97/3.93  % (2840732)CaDiCaL version: 2.1.3
% 22.97/3.93  % (2840732)Termination reason: Instruction limit
% 22.97/3.93  % (2840732)Termination phase: Finite model building preprocessing
% 22.97/3.93  % (2840732)Time elapsed: 0.246 s
% 22.97/3.93  % (2840732)Peak memory usage: 31 MB
% 22.97/3.93  % (2840732)Instructions burned: 920 (million)
% 22.97/3.93  % (2840736)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=4001602408:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 22.97/3.93  % TRYING [1]
% 22.97/3.93  % (2840694)Cannot represent all propositional literals internally
% 22.97/3.93  % (2840694)Refutation not found, incomplete strategy
% 22.97/3.93  % (2840694)------------------------------
% 22.97/3.93  % (2840694)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.97/3.93  % (2840694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.97/3.93  % (2840694)CaDiCaL version: 2.1.3
% 22.97/3.93  % (2840694)Termination reason: Refutation not found, incomplete strategy
% 22.97/3.93  % (2840694)Time elapsed: 1.350 s
% 22.97/3.93  % (2840694)Peak memory usage: 66 MB
% 22.97/3.93  % (2840694)Instructions burned: 2776 (million)
% 22.97/3.93  % (2840694)------------------------------
% 22.97/3.93  % (2840694)------------------------------
% 22.97/3.93  % (2840736)Instruction limit reached! 
% 22.97/3.93  % (2840736)------------------------------
% 22.97/3.93  % (2840736)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.97/3.93  % (2840736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.97/3.93  % (2840736)CaDiCaL version: 2.1.3
% 22.97/3.94  % (2840736)Termination reason: Instruction limit
% 22.97/3.94  % (2840736)Termination phase: Saturation
% 22.97/3.94  % (2840736)Time elapsed: 0.304 s
% 22.97/3.94  % (2840736)Peak memory usage: 27 MB
% 22.97/3.94  % (2840736)Instructions burned: 1472 (million)
% 22.97/3.94  % (2840738)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1834592707:i=6324_2984 on theBenchmark for (2984ds/6324Mi)
% 22.97/3.94  % (2840739)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3205956280:fmbsr=2.30978:i=2174_2984 on theBenchmark for (2984ds/2174Mi)
% 22.97/3.94  % TRYING [1]
% 22.97/3.94  % (2840728)Cannot represent all propositional literals internally
% 22.97/3.94  % (2840728)Refutation not found, incomplete strategy
% 22.97/3.94  % (2840728)------------------------------
% 22.97/3.94  % (2840728)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.97/3.94  % (2840728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.97/3.94  % (2840728)CaDiCaL version: 2.1.3
% 22.97/3.94  % (2840728)Termination reason: Refutation not found, incomplete strategy
% 22.97/3.94  % (2840728)Time elapsed: 0.887 s
% 22.97/3.94  % (2840728)Peak memory usage: 47 MB
% 22.97/3.94  % (2840728)Instructions burned: 1812 (million)
% 22.97/3.94  % (2840728)------------------------------
% 22.97/3.94  % (2840728)------------------------------
% 22.97/3.94  % (2840742)ott-2_1_sil=16000:newcnf=on:random_seed=586220710:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2982 on theBenchmark for (2982ds/869Mi)
% 22.97/3.94  % (2840730)Cannot represent all propositional literals internally
% 22.97/3.94  % (2840730)Refutation not found, incomplete strategy
% 22.97/3.94  % (2840730)------------------------------
% 22.97/3.94  % (2840730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.97/3.94  % (2840730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.97/3.94  % (2840730)CaDiCaL version: 2.1.3
% 22.97/3.94  % (2840730)Termination reason: Refutation not found, incomplete strategy
% 22.97/3.94  % (2840730)Time elapsed: 0.866 s
% 22.97/3.94  % (2840730)Peak memory usage: 46 MB
% 22.97/3.94  % (2840730)Instructions burned: 1816 (million)
% 22.97/3.94  % (2840730)------------------------------
% 22.97/3.94  % (2840730)------------------------------
% 22.97/3.94  % (2840744)ott+10_1_sil=32000:tgt=ground:random_seed=4279269974:i=5114:av=off_2981 on theBenchmark for (2981ds/5114Mi)
% 22.97/3.94  % (2840742)Instruction limit reached! 
% 22.97/3.94  % (2840742)------------------------------
% 22.97/3.94  % (2840742)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.97/3.94  % (2840742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.97/3.94  % (2840742)CaDiCaL version: 2.1.3
% 22.97/3.94  % (2840742)Termination reason: Instruction limit
% 22.97/3.94  % (2840742)Termination phase: Saturation
% 22.97/3.94  % (2840742)Time elapsed: 0.384 s
% 22.97/3.94  % (2840742)Peak memory usage: 28 MB
% 22.97/3.94  % (2840742)Instructions burned: 869 (million)
% 22.97/3.94  % (2840739)Instruction limit reached! 
% 22.97/3.94  % (2840739)------------------------------
% 22.97/3.94  % (2840739)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.97/3.94  % (2840739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.97/3.94  % (2840739)CaDiCaL version: 2.1.3
% 22.97/3.94  % (2840739)Termination reason: Instruction limit
% 22.97/3.94  % (2840739)Termination phase: Finite model building preprocessing
% 22.97/3.94  % (2840739)Time elapsed: 0.611 s
% 22.97/3.94  % (2840739)Peak memory usage: 47 MB
% 22.97/3.94  % (2840739)Instructions burned: 2174 (million)
% 22.97/3.94  % (2840747)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3443002061:i=54282_2978 on theBenchmark for (2978ds/54282Mi)
% 22.97/3.94  % (2840748)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3885401899:i=3512:aac=none_2978 on theBenchmark for (2978ds/3512Mi)
% 22.97/3.94  % (2840738)Cannot represent all propositional literals internally
% 22.97/3.94  % (2840738)Refutation not found, incomplete strategy
% 22.97/3.94  % (2840738)------------------------------
% 22.97/3.94  % (2840738)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.97/3.94  % (2840738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.97/3.94  % (2840738)CaDiCaL version: 2.1.3
% 22.97/3.94  % (2840738)Termination reason: Refutation not found, incomplete strategy
% 22.97/3.94  % (2840738)Time elapsed: 1.271 s
% 22.97/3.94  % (2840738)Peak memory usage: 60 MB
% 22.97/3.94  % (2840738)Instructions burned: 2649 (million)
% 22.97/3.94  % (2840738)------------------------------
% 22.97/3.94  % (2840738)------------------------------
% 22.97/3.94  % (2840751)dis+21_1_sil=32000:sas=cadical:random_seed=3330359191:i=3773:amm=off_2971 on theBenchmark for (2971ds/3773Mi)
% 22.97/3.94  % (2840748)Instruction limit reached! 
% 22.97/3.94  % (2840748)------------------------------
% 22.97/3.94  % (2840748)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.97/3.94  % (2840748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.97/3.94  % (2840748)CaDiCaL version: 2.1.3
% 22.97/3.94  % (2840748)Termination reason: Instruction limit
% 22.97/3.94  % (2840748)Termination phase: Saturation
% 22.97/3.94  % (2840748)Time elapsed: 0.994 s
% 22.97/3.94  % (2840748)Peak memory usage: 59 MB
% 22.97/3.94  % (2840748)Instructions burned: 3512 (million)
% 22.97/3.94  % (2840753)ott+11_1_sil=16000:gs=on:random_seed=4136995697:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2968 on theBenchmark for (2968ds/2251Mi)
% 22.97/3.94  % TRYING [1]
% 22.97/3.94  % (2840753) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2840689-2840753"...
% 22.97/3.94  % (2840753)...printing done.
% 22.97/3.94  % (2840753)Refutation found. Thanks to Tanya!
% 22.97/3.94  % SZS status Theorem for theBenchmark
% 22.97/3.94  % SZS output start Proof for theBenchmark
% See solution above
% 22.97/3.94  % (2840753)------------------------------
% 22.97/3.94  % (2840753)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.97/3.94  % (2840753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.97/3.94  % (2840753)CaDiCaL version: 2.1.3
% 22.97/3.94  % (2840753)Termination reason: Refutation
% 22.97/3.94  % (2840753)Time elapsed: 0.296 s
% 22.97/3.94  % (2840753)Peak memory usage: 43 MB
% 22.97/3.94  % (2840753)Instructions burned: 990 (million)
% 22.97/3.94  % (2840689)Success in time 3.513 s
% 22.97/3.94  % Vampire exiting
%------------------------------------------------------------------------------