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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : PRO010+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/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 12:30:24 PM UTC 2026

% Result   : Theorem 4.87s 1.65s
% Output   : Refutation 4.87s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   46 (   6 unt;   1 def)
%            Number of atoms       :  195 (   8 equ)
%            Maximal formula atoms :    9 (   4 avg)
%            Number of connectives :  216 (  67   ~;  67   |;  71   &)
%                                         (   3 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   6 con; 0-2 aty)
%            Number of variables   :  116 (  82   !;  34   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [X0,X1,X2] :
      ( ( occurrence_of(X0,X1)
        & occurrence_of(X0,X2) )
     => X1 = X2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02) ).

fof(f22,axiom,
    ! [X0,X1] :
      ( leaf(X0,X1)
    <=> ( ( root(X0,X1)
          | ? [X2] : min_precedes(X2,X0,X1) )
        & ~ ? [X3] : min_precedes(X0,X3,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_21) ).

fof(f35,axiom,
    ! [X0,X1] :
      ( leaf_occ(X0,X1)
    <=> ? [X2] :
          ( occurrence_of(X1,X2)
          & subactivity_occurrence(X0,X1)
          & leaf(X0,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_34) ).

fof(f36,axiom,
    ! [X0] :
      ( occurrence_of(X0,tptp0)
     => ? [X1,X2,X3] :
          ( occurrence_of(X1,tptp3)
          & root_occ(X1,X0)
          & occurrence_of(X2,tptp4)
          & next_subocc(X1,X2,tptp0)
          & ( occurrence_of(X3,tptp1)
            | occurrence_of(X3,tptp2) )
          & next_subocc(X2,X3,tptp0)
          & leaf_occ(X3,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_35) ).

fof(f49,conjecture,
    ! [X0] :
      ( occurrence_of(X0,tptp0)
     => ? [X1,X2] :
          ( leaf_occ(X2,X0)
          & ( occurrence_of(X2,tptp1)
           => ~ ? [X3] :
                  ( occurrence_of(X3,tptp2)
                  & min_precedes(X1,X3,tptp0) ) )
          & ( occurrence_of(X2,tptp2)
           => ~ ? [X4] :
                  ( occurrence_of(X4,tptp1)
                  & min_precedes(X1,X4,tptp0) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

fof(f50,negated_conjecture,
    ~ ! [X0] :
        ( occurrence_of(X0,tptp0)
       => ? [X1,X2] :
            ( leaf_occ(X2,X0)
            & ( occurrence_of(X2,tptp1)
             => ~ ? [X3] :
                    ( occurrence_of(X3,tptp2)
                    & min_precedes(X1,X3,tptp0) ) )
            & ( occurrence_of(X2,tptp2)
             => ~ ? [X4] :
                    ( occurrence_of(X4,tptp1)
                    & min_precedes(X1,X4,tptp0) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f49]) ).

fof(f54,plain,
    ? [X0] :
      ( ! [X1,X2] :
          ( ~ leaf_occ(X2,X0)
          | ( ? [X3] :
                ( occurrence_of(X3,tptp2)
                & min_precedes(X1,X3,tptp0) )
            & occurrence_of(X2,tptp1) )
          | ( ? [X4] :
                ( occurrence_of(X4,tptp1)
                & min_precedes(X1,X4,tptp0) )
            & occurrence_of(X2,tptp2) ) )
      & occurrence_of(X0,tptp0) ),
    inference(ennf_transformation,[],[f50]) ).

fof(f55,plain,
    ! [X0] :
      ( ? [X1,X2,X3] :
          ( occurrence_of(X1,tptp3)
          & root_occ(X1,X0)
          & occurrence_of(X2,tptp4)
          & next_subocc(X1,X2,tptp0)
          & ( occurrence_of(X3,tptp1)
            | occurrence_of(X3,tptp2) )
          & next_subocc(X2,X3,tptp0)
          & leaf_occ(X3,X0) )
      | ~ occurrence_of(X0,tptp0) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f62,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ~ occurrence_of(X0,X1)
      | ~ occurrence_of(X0,X2) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f63,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ~ occurrence_of(X0,X1)
      | ~ occurrence_of(X0,X2) ),
    inference(flattening,[],[f62]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( leaf(X0,X1)
    <=> ( ( root(X0,X1)
          | ? [X2] : min_precedes(X2,X0,X1) )
        & ! [X3] : ~ min_precedes(X0,X3,X1) ) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f84,definition,
    ! [X1,X2] :
      ( ( ? [X4] :
            ( occurrence_of(X4,tptp1)
            & min_precedes(X1,X4,tptp0) )
        & occurrence_of(X2,tptp2) )
      | ~ sP0(X1,X2) ),
    introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).

fof(f85,plain,
    ? [X0] :
      ( ! [X1,X2] :
          ( ~ leaf_occ(X2,X0)
          | ( ? [X3] :
                ( occurrence_of(X3,tptp2)
                & min_precedes(X1,X3,tptp0) )
            & occurrence_of(X2,tptp1) )
          | sP0(X1,X2) )
      & occurrence_of(X0,tptp0) ),
    inference(definition_folding,[],[f54,f84]) ).

fof(f86,plain,
    ! [X1,X2] :
      ( ( ? [X4] :
            ( occurrence_of(X4,tptp1)
            & min_precedes(X1,X4,tptp0) )
        & occurrence_of(X2,tptp2) )
      | ~ sP0(X1,X2) ),
    inference(nnf_transformation,[],[f84]) ).

fof(f87,plain,
    ! [X0,X1] :
      ( ( ? [X2] :
            ( occurrence_of(X2,tptp1)
            & min_precedes(X0,X2,tptp0) )
        & occurrence_of(X1,tptp2) )
      | ~ sP0(X0,X1) ),
    inference(rectify,[],[f86]) ).

fof(f88,plain,
    ! [X0,X1] :
      ( ( occurrence_of(sK1(X0),tptp1)
        & min_precedes(X0,sK1(X0),tptp0)
        & occurrence_of(X1,tptp2) )
      | ~ sP0(X0,X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0))],[f87]) ).

fof(f89,plain,
    ( ! [X1,X2] :
        ( ~ leaf_occ(X2,sK2)
        | ( occurrence_of(sK3(X1),tptp2)
          & min_precedes(X1,sK3(X1),tptp0)
          & occurrence_of(X2,tptp1) )
        | sP0(X1,X2) )
    & occurrence_of(sK2,tptp0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X0,sK2),skolemize(X3,sK3(X1))],[f85]) ).

fof(f90,plain,
    ! [X0] :
      ( ( occurrence_of(sK4(X0),tptp3)
        & root_occ(sK4(X0),X0)
        & occurrence_of(sK5(X0),tptp4)
        & next_subocc(sK4(X0),sK5(X0),tptp0)
        & ( occurrence_of(sK6(X0),tptp1)
          | occurrence_of(sK6(X0),tptp2) )
        & next_subocc(sK5(X0),sK6(X0),tptp0)
        & leaf_occ(sK6(X0),X0) )
      | ~ occurrence_of(X0,tptp0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6]),skolemize(X1,sK4(X0)),skolemize(X2,sK5(X0)),skolemize(X3,sK6(X0))],[f55]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( ( leaf_occ(X0,X1)
        | ! [X2] :
            ( ~ occurrence_of(X1,X2)
            | ~ subactivity_occurrence(X0,X1)
            | ~ leaf(X0,X2) ) )
      & ( ? [X2] :
            ( occurrence_of(X1,X2)
            & subactivity_occurrence(X0,X1)
            & leaf(X0,X2) )
        | ~ leaf_occ(X0,X1) ) ),
    inference(nnf_transformation,[],[f35]) ).

fof(f92,plain,
    ! [X0,X1] :
      ( ( leaf_occ(X0,X1)
        | ! [X2] :
            ( ~ occurrence_of(X1,X2)
            | ~ subactivity_occurrence(X0,X1)
            | ~ leaf(X0,X2) ) )
      & ( ? [X3] :
            ( occurrence_of(X1,X3)
            & subactivity_occurrence(X0,X1)
            & leaf(X0,X3) )
        | ~ leaf_occ(X0,X1) ) ),
    inference(rectify,[],[f91]) ).

fof(f93,plain,
    ! [X0,X1] :
      ( ( leaf_occ(X0,X1)
        | ! [X2] :
            ( ~ occurrence_of(X1,X2)
            | ~ subactivity_occurrence(X0,X1)
            | ~ leaf(X0,X2) ) )
      & ( ( occurrence_of(X1,sK7(X0,X1))
          & subactivity_occurrence(X0,X1)
          & leaf(X0,sK7(X0,X1)) )
        | ~ leaf_occ(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X3,sK7(X0,X1))],[f92]) ).

fof(f96,plain,
    ! [X0,X1] :
      ( ( leaf(X0,X1)
        | ( ~ root(X0,X1)
          & ! [X2] : ~ min_precedes(X2,X0,X1) )
        | ? [X3] : min_precedes(X0,X3,X1) )
      & ( ( ( root(X0,X1)
            | ? [X2] : min_precedes(X2,X0,X1) )
          & ! [X3] : ~ min_precedes(X0,X3,X1) )
        | ~ leaf(X0,X1) ) ),
    inference(nnf_transformation,[],[f64]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( ( leaf(X0,X1)
        | ( ~ root(X0,X1)
          & ! [X2] : ~ min_precedes(X2,X0,X1) )
        | ? [X3] : min_precedes(X0,X3,X1) )
      & ( ( ( root(X0,X1)
            | ? [X2] : min_precedes(X2,X0,X1) )
          & ! [X3] : ~ min_precedes(X0,X3,X1) )
        | ~ leaf(X0,X1) ) ),
    inference(flattening,[],[f96]) ).

fof(f98,plain,
    ! [X0,X1] :
      ( ( leaf(X0,X1)
        | ( ~ root(X0,X1)
          & ! [X2] : ~ min_precedes(X2,X0,X1) )
        | ? [X3] : min_precedes(X0,X3,X1) )
      & ( ( ( root(X0,X1)
            | ? [X4] : min_precedes(X4,X0,X1) )
          & ! [X5] : ~ min_precedes(X0,X5,X1) )
        | ~ leaf(X0,X1) ) ),
    inference(rectify,[],[f97]) ).

fof(f99,plain,
    ! [X0,X1] :
      ( ( leaf(X0,X1)
        | ( ~ root(X0,X1)
          & ! [X2] : ~ min_precedes(X2,X0,X1) )
        | min_precedes(X0,sK10(X0,X1),X1) )
      & ( ( ( root(X0,X1)
            | min_precedes(sK11(X0,X1),X0,X1) )
          & ! [X5] : ~ min_precedes(X0,X5,X1) )
        | ~ leaf(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11]),skolemize(X3,sK10(X0,X1)),skolemize(X4,sK11(X0,X1))],[f98]) ).

fof(f109,plain,
    ! [X0,X1] :
      ( ~ sP0(X0,X1)
      | min_precedes(X0,sK1(X0),tptp0) ),
    inference(cnf_transformation,[],[f88]) ).

fof(f111,plain,
    occurrence_of(sK2,tptp0),
    inference(cnf_transformation,[],[f89]) ).

fof(f113,plain,
    ! [X2,X1] :
      ( ~ leaf_occ(X2,sK2)
      | min_precedes(X1,sK3(X1),tptp0)
      | sP0(X1,X2) ),
    inference(cnf_transformation,[],[f89]) ).

fof(f117,plain,
    ! [X0] :
      ( leaf_occ(sK6(X0),X0)
      | ~ occurrence_of(X0,tptp0) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f131,plain,
    ! [X0,X1] :
      ( leaf(X0,sK7(X0,X1))
      | ~ leaf_occ(X0,X1) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f133,plain,
    ! [X0,X1] :
      ( occurrence_of(X1,sK7(X0,X1))
      | ~ leaf_occ(X0,X1) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f149,plain,
    ! [X2,X0,X1] :
      ( ~ occurrence_of(X0,X2)
      | ~ occurrence_of(X0,X1)
      | X1 = X2 ),
    inference(cnf_transformation,[],[f63]) ).

fof(f150,plain,
    ! [X0,X1,X5] :
      ( ~ min_precedes(X0,X5,X1)
      | ~ leaf(X0,X1) ),
    inference(cnf_transformation,[],[f99]) ).

fof(f184,plain,
    ! [X0] :
      ( ~ occurrence_of(sK2,tptp0)
      | min_precedes(X0,sK3(X0),tptp0)
      | sP0(X0,sK6(sK2)) ),
    inference(resolution,[],[f117,f113]) ).

fof(f190,plain,
    ! [X0] :
      ( min_precedes(X0,sK3(X0),tptp0)
      | sP0(X0,sK6(sK2)) ),
    inference(forward_subsumption_resolution,[],[f184,f111]) ).

fof(f239,plain,
    ! [X0] :
      ( sP0(X0,sK6(sK2))
      | ~ leaf(X0,tptp0) ),
    inference(resolution,[],[f190,f150]) ).

fof(f241,plain,
    ! [X0] :
      ( ~ leaf(X0,tptp0)
      | min_precedes(X0,sK1(X0),tptp0) ),
    inference(resolution,[],[f239,f109]) ).

fof(f244,plain,
    ! [X0] : ~ leaf(X0,tptp0),
    inference(forward_subsumption_resolution,[],[f241,f150]) ).

fof(f264,plain,
    ! [X0] :
      ( ~ occurrence_of(sK2,X0)
      | tptp0 = X0 ),
    inference(resolution,[],[f149,f111]) ).

fof(f272,plain,
    ! [X0] :
      ( ~ leaf_occ(X0,sK2)
      | tptp0 = sK7(X0,sK2) ),
    inference(resolution,[],[f264,f133]) ).

fof(f356,plain,
    ( tptp0 = sK7(sK6(sK2),sK2)
    | ~ occurrence_of(sK2,tptp0) ),
    inference(resolution,[],[f272,f117]) ).

fof(f357,plain,
    tptp0 = sK7(sK6(sK2),sK2),
    inference(forward_subsumption_resolution,[],[f356,f111]) ).

fof(f361,plain,
    ( leaf(sK6(sK2),tptp0)
    | ~ leaf_occ(sK6(sK2),sK2) ),
    inference(superposition,[],[f131,f357]) ).

fof(f362,plain,
    ~ leaf_occ(sK6(sK2),sK2),
    inference(forward_subsumption_resolution,[],[f361,f244]) ).

fof(f368,plain,
    ~ occurrence_of(sK2,tptp0),
    inference(resolution,[],[f362,f117]) ).

fof(f369,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f368,f111]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : PRO010+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.37  % Computer : n003.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 : Sun Sep 27 22:21:42 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.41  Running first-order theorem proving
% 0.09/0.41  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.23/1.45  % (975439)Detected formulas, will run a generic FOF schedule.
% 3.23/1.45  % (975446)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=3475546943:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.23/1.45  % (975449)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2236337096:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.23/1.45  % (975448)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2003365237:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.23/1.45  % (975445)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=1626129917:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.23/1.45  % (975447)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3929842557:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.23/1.45  % (975444)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=1482462305:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.23/1.45  % (975447)Refutation not found, incomplete strategy
% 3.23/1.45  % (975447)------------------------------
% 3.23/1.45  % (975447)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.23/1.45  % (975447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/1.45  % (975447)CaDiCaL version: 2.1.3
% 3.23/1.45  % (975447)Termination reason: Refutation not found, incomplete strategy
% 3.23/1.45  % (975447)Time elapsed: 0.001 s
% 3.23/1.45  % (975447)Peak memory usage: 87 MB
% 3.23/1.45  % (975450)dis-21_1_sil=8000:lcm=predicate:random_seed=188198801: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)
% 3.23/1.45  % (975448)Instruction limit reached! 
% 3.23/1.45  % (975448)------------------------------
% 3.23/1.45  % (975448)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.23/1.45  % (975448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/1.45  % (975448)CaDiCaL version: 2.1.3
% 3.23/1.45  % (975448)Termination reason: Instruction limit
% 3.23/1.45  % (975448)Termination phase: Saturation
% 3.23/1.45  % (975448)Time elapsed: 0.049 s
% 3.23/1.45  % (975448)Peak memory usage: 88 MB
% 3.23/1.45  % (975448)Instructions burned: 119 (million)
% 3.23/1.45  % (975450)Instruction limit reached! 
% 3.23/1.45  % (975450)------------------------------
% 3.23/1.45  % (975450)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.23/1.45  % (975450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/1.45  % (975450)CaDiCaL version: 2.1.3
% 3.23/1.45  % (975450)Termination reason: Instruction limit
% 3.23/1.45  % (975450)Termination phase: Saturation
% 3.23/1.45  % (975450)Time elapsed: 0.082 s
% 3.23/1.45  % (975450)Peak memory usage: 89 MB
% 3.23/1.45  % (975450)Instructions burned: 130 (million)
% 3.23/1.45  % (975449)Instruction limit reached! 
% 3.23/1.45  % (975449)------------------------------
% 3.23/1.45  % (975449)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.23/1.45  % (975449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/1.45  % (975449)CaDiCaL version: 2.1.3
% 3.23/1.45  % (975449)Termination reason: Instruction limit
% 3.23/1.45  % (975449)Termination phase: Saturation
% 3.23/1.45  % (975449)Time elapsed: 0.102 s
% 3.23/1.45  % (975449)Peak memory usage: 90 MB
% 3.23/1.45  % (975449)Instructions burned: 139 (million)
% 3.23/1.45  % (975458)lrs+10_1_sil=8000:sp=occurrence:random_seed=724114657:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.23/1.45  % (975458)First to succeed.
% 3.23/1.45  % (975458)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-975439"
% 3.23/1.45  % (975460)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3796065559:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.23/1.45  % (975459)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2634143180:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.23/1.45  % (975459)Refutation not found, incomplete strategy
% 3.23/1.45  % (975459)------------------------------
% 3.23/1.45  % (975459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.23/1.45  % (975459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.87/1.65  % (975459)CaDiCaL version: 2.1.3
% 4.87/1.65  % (975459)Termination reason: Refutation not found, incomplete strategy
% 4.87/1.65  % (975459)Time elapsed: 0.002 s
% 4.87/1.65  % (975459)Peak memory usage: 89 MB
% 4.87/1.65  % (975459)Instructions burned: 2 (million)
% 4.87/1.65  % (975460)Also succeeded, but the first one will report.
% 4.87/1.65  % (975447)------------------------------
% 4.87/1.65  % (975447)------------------------------
% 4.87/1.65  % (975464)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=696740972:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 4.87/1.65  % (975464)Instruction limit reached! 
% 4.87/1.65  % (975464)------------------------------
% 4.87/1.65  % (975464)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.87/1.65  % (975464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.87/1.65  % (975464)CaDiCaL version: 2.1.3
% 4.87/1.65  % (975464)Termination reason: Instruction limit
% 4.87/1.65  % (975464)Termination phase: Saturation
% 4.87/1.65  % (975464)Time elapsed: 0.069 s
% 4.87/1.65  % (975464)Peak memory usage: 90 MB
% 4.87/1.65  % (975464)Instructions burned: 249 (million)
% 4.87/1.65  % (975446)Also succeeded, but the first one will report.
% 4.87/1.65  % (975458)Refutation found. Thanks to Tanya!
% 4.87/1.65  % SZS status Theorem for theBenchmark
% 4.87/1.65  % SZS output start Proof for theBenchmark
% See solution above
% 4.87/1.65  % (975458)------------------------------
% 4.87/1.65  % (975458)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.87/1.65  % (975458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.87/1.65  % (975458)CaDiCaL version: 2.1.3
% 4.87/1.65  % (975458)Termination reason: Refutation
% 4.87/1.65  % (975458)Time elapsed: 0.008 s
% 4.87/1.65  % (975458)Peak memory usage: 89 MB
% 4.87/1.65  % (975458)Instructions burned: 10 (million)
% 4.87/1.65  % (975458)------------------------------
% 4.87/1.65  % (975458)------------------------------
% 4.87/1.65  % (975439)Success in time 0.604 s
% 4.87/1.65  % Vampire exiting
%------------------------------------------------------------------------------