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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SEU211+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n020.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 12:52:23 PM UTC 2026

% Result   : Theorem 2.50s 0.95s
% Output   : Refutation 2.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   63 (  20 unt;   3 def)
%            Number of atoms       :  195 (  21 equ)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives :  226 (  94   ~;  90   |;  29   &)
%                                         (   7 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   2 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   5 con; 0-3 aty)
%            Number of variables   :  128 (   0 sgn 112   !;  16   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_tarski) ).

fof(f4,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1,X2] :
          ( X2 = relation_inverse_image(X0,X1)
        <=> ! [X3] :
              ( in(X3,X2)
            <=> ? [X4] :
                  ( in(ordered_pair(X3,X4),X0)
                  & in(X4,X1) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d14_relat_1) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X0)
         => in(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).

fof(f6,axiom,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_tarski) ).

fof(f28,conjecture,
    ! [X0,X1,X2] :
      ( relation(X2)
     => ( subset(X0,X1)
       => subset(relation_inverse_image(X2,X0),relation_inverse_image(X2,X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t178_relat_1) ).

fof(f29,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( relation(X2)
       => ( subset(X0,X1)
         => subset(relation_inverse_image(X2,X0),relation_inverse_image(X2,X1)) ) ),
    inference(negated_conjecture,[status(cth)],[f28]) ).

fof(f41,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( X2 = relation_inverse_image(X0,X1)
        <=> ! [X3] :
              ( in(X3,X2)
            <=> ? [X4] :
                  ( in(ordered_pair(X3,X4),X0)
                  & in(X4,X1) ) ) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X1)
          | ~ in(X2,X0) ) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f44,plain,
    ? [X0,X1,X2] :
      ( ~ subset(relation_inverse_image(X2,X0),relation_inverse_image(X2,X1))
      & subset(X0,X1)
      & relation(X2) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f45,plain,
    ? [X0,X1,X2] :
      ( ~ subset(relation_inverse_image(X2,X0),relation_inverse_image(X2,X1))
      & subset(X0,X1)
      & relation(X2) ),
    inference(flattening,[],[f44]) ).

fof(f55,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( X2 = relation_inverse_image(X0,X1)
            | ? [X3] :
                ( ( ! [X4] :
                      ( ~ in(ordered_pair(X3,X4),X0)
                      | ~ in(X4,X1) )
                  | ~ in(X3,X2) )
                & ( ? [X4] :
                      ( in(ordered_pair(X3,X4),X0)
                      & in(X4,X1) )
                  | in(X3,X2) ) ) )
          & ( ! [X3] :
                ( ( in(X3,X2)
                  | ! [X4] :
                      ( ~ in(ordered_pair(X3,X4),X0)
                      | ~ in(X4,X1) ) )
                & ( ? [X4] :
                      ( in(ordered_pair(X3,X4),X0)
                      & in(X4,X1) )
                  | ~ in(X3,X2) ) )
            | relation_inverse_image(X0,X1) != X2 ) )
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f41]) ).

fof(f56,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( X2 = relation_inverse_image(X0,X1)
            | ? [X3] :
                ( ( ! [X4] :
                      ( ~ in(ordered_pair(X3,X4),X0)
                      | ~ in(X4,X1) )
                  | ~ in(X3,X2) )
                & ( ? [X5] :
                      ( in(ordered_pair(X3,X5),X0)
                      & in(X5,X1) )
                  | in(X3,X2) ) ) )
          & ( ! [X6] :
                ( ( in(X6,X2)
                  | ! [X7] :
                      ( ~ in(ordered_pair(X6,X7),X0)
                      | ~ in(X7,X1) ) )
                & ( ? [X8] :
                      ( in(ordered_pair(X6,X8),X0)
                      & in(X8,X1) )
                  | ~ in(X6,X2) ) )
            | relation_inverse_image(X0,X1) != X2 ) )
      | ~ relation(X0) ),
    inference(rectify,[],[f55]) ).

fof(f57,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( X2 = relation_inverse_image(X0,X1)
            | ( ( ! [X4] :
                    ( ~ in(ordered_pair(sK0(X0,X1,X2),X4),X0)
                    | ~ in(X4,X1) )
                | ~ in(sK0(X0,X1,X2),X2) )
              & ( ( in(ordered_pair(sK0(X0,X1,X2),sK1(X0,X1,X2)),X0)
                  & in(sK1(X0,X1,X2),X1) )
                | in(sK0(X0,X1,X2),X2) ) ) )
          & ( ! [X6] :
                ( ( in(X6,X2)
                  | ! [X7] :
                      ( ~ in(ordered_pair(X6,X7),X0)
                      | ~ in(X7,X1) ) )
                & ( ( in(ordered_pair(X6,sK2(X0,X1,X6)),X0)
                    & in(sK2(X0,X1,X6),X1) )
                  | ~ in(X6,X2) ) )
            | relation_inverse_image(X0,X1) != X2 ) )
      | ~ relation(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X3,sK0(X0,X1,X2)),skolemize(X5,sK1(X0,X1,X2)),skolemize(X8,sK2(X0,X1,X6))],[f56]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ in(X2,X1)
            & in(X2,X0) ) )
      & ( ! [X2] :
            ( in(X2,X1)
            | ~ in(X2,X0) )
        | ~ subset(X0,X1) ) ),
    inference(nnf_transformation,[],[f42]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ in(X2,X1)
            & in(X2,X0) ) )
      & ( ! [X3] :
            ( in(X3,X1)
            | ~ in(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(rectify,[],[f58]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ( ~ in(sK3(X0,X1),X1)
          & in(sK3(X0,X1),X0) ) )
      & ( ! [X3] :
            ( in(X3,X1)
            | ~ in(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0,X1))],[f59]) ).

fof(f68,plain,
    ( ~ subset(relation_inverse_image(sK13,sK11),relation_inverse_image(sK13,sK12))
    & subset(sK11,sK12)
    & relation(sK13) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12,sK13]),skolemize(X0,sK11),skolemize(X1,sK12),skolemize(X2,sK13)],[f45]) ).

fof(f72,plain,
    ! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
    inference(cnf_transformation,[],[f3]) ).

fof(f73,plain,
    ! [X2,X0,X1,X6] :
      ( in(sK2(X0,X1,X6),X1)
      | ~ in(X6,X2)
      | relation_inverse_image(X0,X1) != X2
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f74,plain,
    ! [X2,X0,X1,X6] :
      ( in(ordered_pair(X6,sK2(X0,X1,X6)),X0)
      | ~ in(X6,X2)
      | relation_inverse_image(X0,X1) != X2
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f75,plain,
    ! [X2,X0,X1,X6,X7] :
      ( in(X6,X2)
      | ~ in(ordered_pair(X6,X7),X0)
      | ~ in(X7,X1)
      | relation_inverse_image(X0,X1) != X2
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f79,plain,
    ! [X3,X0,X1] :
      ( ~ subset(X0,X1)
      | ~ in(X3,X0)
      | in(X3,X1) ),
    inference(cnf_transformation,[],[f60]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | in(sK3(X0,X1),X0) ),
    inference(cnf_transformation,[],[f60]) ).

fof(f81,plain,
    ! [X0,X1] :
      ( ~ in(sK3(X0,X1),X1)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f60]) ).

fof(f82,plain,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
    inference(cnf_transformation,[],[f6]) ).

fof(f102,plain,
    relation(sK13),
    inference(cnf_transformation,[],[f68]) ).

fof(f103,plain,
    subset(sK11,sK12),
    inference(cnf_transformation,[],[f68]) ).

fof(f104,plain,
    ~ subset(relation_inverse_image(sK13,sK11),relation_inverse_image(sK13,sK12)),
    inference(cnf_transformation,[],[f68]) ).

fof(f116,plain,
    ! [X2,X0,X1,X6,X7] :
      ( in(X6,X2)
      | ~ in(unordered_pair(unordered_pair(X6,X7),singleton(X6)),X0)
      | ~ in(X7,X1)
      | relation_inverse_image(X0,X1) != X2
      | ~ relation(X0) ),
    inference(definition_unfolding,[],[f75,f82]) ).

fof(f117,plain,
    ! [X2,X0,X1,X6] :
      ( in(unordered_pair(unordered_pair(X6,sK2(X0,X1,X6)),singleton(X6)),X0)
      | ~ in(X6,X2)
      | relation_inverse_image(X0,X1) != X2
      | ~ relation(X0) ),
    inference(definition_unfolding,[],[f74,f82]) ).

fof(f119,plain,
    ! [X0,X1,X6,X7] :
      ( ~ in(unordered_pair(unordered_pair(X6,X7),singleton(X6)),X0)
      | in(X6,relation_inverse_image(X0,X1))
      | ~ in(X7,X1)
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f116]) ).

fof(f120,plain,
    ! [X0,X1,X6] :
      ( ~ in(X6,relation_inverse_image(X0,X1))
      | in(unordered_pair(unordered_pair(X6,sK2(X0,X1,X6)),singleton(X6)),X0)
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f117]) ).

fof(f121,plain,
    ! [X0,X1,X6] :
      ( ~ in(X6,relation_inverse_image(X0,X1))
      | in(sK2(X0,X1,X6),X1)
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f73]) ).

fof(f122,definition,
    sF14 = relation_inverse_image(sK13,sK11),
    introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).

fof(f123,plain,
    relation_inverse_image(sK13,sK11) = sF14,
    inference(reorient_equations,[],[f122]) ).

fof(f124,definition,
    sF15 = relation_inverse_image(sK13,sK12),
    introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).

fof(f125,plain,
    relation_inverse_image(sK13,sK12) = sF15,
    inference(reorient_equations,[],[f124]) ).

fof(f126,plain,
    ~ subset(sF14,sF15),
    inference(definition_folding,[],[f104,f125,f123]) ).

fof(f160,plain,
    in(sK3(sF14,sF15),sF14),
    inference(resolution,[],[f80,f126]) ).

fof(f178,plain,
    ! [X0] :
      ( ~ in(X0,sK11)
      | in(X0,sK12) ),
    inference(resolution,[],[f79,f103]) ).

fof(f212,plain,
    ! [X0] :
      ( ~ in(X0,sF14)
      | in(sK2(sK13,sK11,X0),sK11)
      | ~ relation(sK13) ),
    inference(superposition,[],[f121,f123]) ).

fof(f215,plain,
    ! [X0] :
      ( in(sK2(sK13,sK11,X0),sK11)
      | ~ in(X0,sF14) ),
    inference(forward_subsumption_resolution,[],[f212,f102]) ).

fof(f219,plain,
    ! [X2,X3,X0,X1] :
      ( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),X2)
      | in(X0,relation_inverse_image(X2,X3))
      | ~ in(X1,X3)
      | ~ relation(X2) ),
    inference(superposition,[],[f119,f72]) ).

fof(f222,plain,
    ! [X0] :
      ( ~ in(X0,sF14)
      | in(unordered_pair(unordered_pair(X0,sK2(sK13,sK11,X0)),singleton(X0)),sK13)
      | ~ relation(sK13) ),
    inference(superposition,[],[f120,f123]) ).

fof(f225,plain,
    ! [X0] :
      ( ~ in(X0,sF14)
      | in(unordered_pair(unordered_pair(X0,sK2(sK13,sK11,X0)),singleton(X0)),sK13) ),
    inference(forward_subsumption_resolution,[],[f222,f102]) ).

fof(f227,plain,
    ! [X0] :
      ( in(unordered_pair(singleton(X0),unordered_pair(X0,sK2(sK13,sK11,X0))),sK13)
      | ~ in(X0,sF14) ),
    inference(forward_demodulation,[],[f225,f72]) ).

fof(f253,plain,
    ! [X0] :
      ( in(sK2(sK13,sK11,X0),sK12)
      | ~ in(X0,sF14) ),
    inference(resolution,[],[f215,f178]) ).

fof(f402,plain,
    ! [X0,X1] :
      ( in(X0,relation_inverse_image(sK13,X1))
      | ~ in(sK2(sK13,sK11,X0),X1)
      | ~ relation(sK13)
      | ~ in(X0,sF14) ),
    inference(resolution,[],[f219,f227]) ).

fof(f407,plain,
    ! [X0,X1] :
      ( ~ in(sK2(sK13,sK11,X0),X1)
      | in(X0,relation_inverse_image(sK13,X1))
      | ~ in(X0,sF14) ),
    inference(forward_subsumption_resolution,[],[f402,f102]) ).

fof(f547,plain,
    ! [X0] :
      ( in(X0,relation_inverse_image(sK13,sK12))
      | ~ in(X0,sF14)
      | ~ in(X0,sF14) ),
    inference(resolution,[],[f407,f253]) ).

fof(f552,plain,
    ! [X0] :
      ( in(X0,relation_inverse_image(sK13,sK12))
      | ~ in(X0,sF14) ),
    inference(duplicate_literal_removal,[],[f547]) ).

fof(f554,plain,
    ! [X0] :
      ( ~ in(X0,sF14)
      | in(X0,sF15) ),
    inference(forward_demodulation,[],[f552,f125]) ).

fof(f560,plain,
    in(sK3(sF14,sF15),sF15),
    inference(resolution,[],[f554,f160]) ).

fof(f578,definition,
    ( spl16_10
  <=> in(sK3(sF14,sF15),sF15) ),
    introduced(definition,[new_symbols(definition,[spl16_10])],[avatar_definition]) ).

fof(f580,plain,
    ( in(sK3(sF14,sF15),sF15)
    | ~ spl16_10 ),
    inference(avatar_component_clause,[],[f578]) ).

fof(f582,plain,
    spl16_10,
    inference(avatar_split_clause,[],[f560,f578]) ).

fof(f617,plain,
    ( subset(sF14,sF15)
    | ~ spl16_10 ),
    inference(resolution,[],[f580,f81]) ).

fof(f622,plain,
    ( $false
    | ~ spl16_10 ),
    inference(forward_subsumption_resolution,[],[f617,f126]) ).

fof(f623,plain,
    ~ spl16_10,
    inference(avatar_contradiction_clause,[],[f622]) ).

cnf(s9,plain,
    spl16_10,
    inference(sat_conversion,[],[f582]) ).

cnf(s12,plain,
    ~ spl16_10,
    inference(sat_conversion,[],[f623]) ).

cnf(s13,plain,
    $false,
    inference(rat,[],[s9,s12]) ).

fof(f624,plain,
    $false,
    inference(avatar_sat_refutation,[],[s13]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SEU211+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39  % Computer : n020.cluster.edu
% 0.12/0.39  % Model    : x86_64 x86_64
% 0.12/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39  % Memory   : 8046.5625MB
% 0.12/0.39  % OS       : Linux 6.8.0-71-generic
% 0.12/0.39  % CPULimit : 300
% 0.12/0.39  % WCLimit  : 300
% 0.12/0.39  % DateTime : Mon Sep 28 04:04:50 UTC 2026
% 0.12/0.39  % CPUTime  : 
% 0.12/0.39  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43  Running first-order model finding
% 0.12/0.43  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.50/0.95  % (4012993)Will run a generic schedule for satisfiability detection.
% 2.50/0.95  % (4012998)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1680080349_2999 on theBenchmark for (2999ds/0Mi)
% 2.50/0.95  % TRYING [1]
% 2.50/0.95  % TRYING [2]
% 2.50/0.95  % (4012999)% WARNING: option uhcvi not known.
% 2.50/0.95  % TRYING [3]
% 2.50/0.95  % TRYING [4]
% 2.50/0.95  % (4012999)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3783904394:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.50/0.95  % (4013000)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=24756823:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.50/0.95  % (4013003)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=440553073:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.50/0.95  % (4013001)dis+10_1_sil=32000:sp=arity:random_seed=729214272:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.50/0.95  % (4013002)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3900340429:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.50/0.95  % (4013004)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2440866395:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.50/0.95  % TRYING [5]
% 2.50/0.95  % TRYING [6]
% 2.50/0.95  % (4013001)Instruction limit reached! 
% 2.50/0.95  % (4013001)------------------------------
% 2.50/0.95  % (4013001)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.50/0.95  % (4013001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/0.95  % (4013001)CaDiCaL version: 2.1.3
% 2.50/0.95  % (4013001)Termination reason: Instruction limit
% 2.50/0.95  % (4013001)Termination phase: Saturation
% 2.50/0.95  % (4013001)Time elapsed: 0.064 s
% 2.50/0.95  % (4013001)Peak memory usage: 12 MB
% 2.50/0.95  % (4013001)Instructions burned: 105 (million)
% 2.50/0.95  % (4013002)Instruction limit reached! 
% 2.50/0.95  % (4013002)------------------------------
% 2.50/0.95  % (4013002)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.50/0.95  % (4013002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/0.95  % (4013002)CaDiCaL version: 2.1.3
% 2.50/0.95  % (4013002)Termination reason: Instruction limit
% 2.50/0.95  % (4013002)Termination phase: Saturation
% 2.50/0.95  % (4013002)Time elapsed: 0.073 s
% 2.50/0.95  % (4013002)Peak memory usage: 13 MB
% 2.50/0.95  % (4013002)Instructions burned: 118 (million)
% 2.50/0.95  % (4013003)Instruction limit reached! 
% 2.50/0.95  % (4013003)------------------------------
% 2.50/0.95  % (4013003)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.50/0.95  % (4013003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/0.95  % (4013003)CaDiCaL version: 2.1.3
% 2.50/0.95  % (4013003)Termination reason: Instruction limit
% 2.50/0.95  % (4013003)Termination phase: Saturation
% 2.50/0.95  % (4013003)Time elapsed: 0.084 s
% 2.50/0.95  % (4013003)Peak memory usage: 13 MB
% 2.50/0.95  % (4013003)Instructions burned: 132 (million)
% 2.50/0.95  % (4013012)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2576967851:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.50/0.95  % TRYING [1]
% 2.50/0.95  % TRYING [2]
% 2.50/0.95  % TRYING [3]
% 2.50/0.95  % (4013013)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1536864919:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.50/0.95  % TRYING [4]
% 2.50/0.95  % (4013015)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=2355718267:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.50/0.95  % TRYING [5]
% 2.50/0.95  % (4013004)Instruction limit reached! 
% 2.50/0.95  % (4013004)------------------------------
% 2.50/0.95  % (4013004)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.50/0.95  % (4013004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/0.95  % (4013004)CaDiCaL version: 2.1.3
% 2.50/0.95  % (4013004)Termination reason: Instruction limit
% 2.50/0.95  % (4013004)Termination phase: Saturation
% 2.50/0.95  % (4013004)Time elapsed: 0.109 s
% 2.50/0.95  % (4013004)Peak memory usage: 14 MB
% 2.50/0.95  % (4013004)Instructions burned: 159 (million)
% 2.50/0.95  % (4013018)ott-21_1_sil=16000:fs=off:random_seed=2074223619:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.50/0.95  % TRYING [6]
% 2.50/0.95  % TRYING [7]
% 2.50/0.95  % (4013013)Instruction limit reached! 
% 2.50/0.95  % (4013013)------------------------------
% 2.50/0.95  % (4013013)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.50/0.95  % (4013013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/0.95  % (4013013)CaDiCaL version: 2.1.3
% 2.50/0.95  % (4013013)Termination reason: Instruction limit
% 2.50/0.95  % (4013013)Termination phase: Saturation
% 2.50/0.95  % (4013013)Time elapsed: 0.088 s
% 2.50/0.95  % (4013013)Peak memory usage: 13 MB
% 2.50/0.95  % (4013013)Instructions burned: 131 (million)
% 2.50/0.95  % (4013020)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=808835291:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 2.50/0.95  % (4013018)Instruction limit reached! 
% 2.50/0.95  % (4013018)------------------------------
% 2.50/0.95  % (4013018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.50/0.95  % (4013018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/0.95  % (4013018)CaDiCaL version: 2.1.3
% 2.50/0.95  % (4013018)Termination reason: Instruction limit
% 2.50/0.95  % (4013018)Termination phase: Saturation
% 2.50/0.95  % (4013018)Time elapsed: 0.097 s
% 2.50/0.95  % (4013018)Peak memory usage: 13 MB
% 2.50/0.95  % (4013018)Instructions burned: 180 (million)
% 2.50/0.95  % (4013022)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2614915310:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.50/0.95  % TRYING [7]
% 2.50/0.95  % TRYING [1]
% 2.50/0.95  % TRYING [2]
% 2.50/0.95  % TRYING [3]
% 2.50/0.95  % TRYING [4]
% 2.50/0.95  % TRYING [5]
% 2.50/0.95  % (4013012)Instruction limit reached! 
% 2.50/0.95  % (4013012)------------------------------
% 2.50/0.95  % (4013012)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.50/0.95  % (4013012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/0.95  % (4013012)CaDiCaL version: 2.1.3
% 2.50/0.95  % (4013012)Termination reason: Instruction limit
% 2.50/0.95  % (4013012)Termination phase: Finite model building SAT solving
% 2.50/0.95  % (4013012)Time elapsed: 0.340 s
% 2.50/0.95  % (4013012)Peak memory usage: 28 MB
% 2.50/0.95  % (4013012)Instructions burned: 715 (million)
% 2.50/0.95  % (4013024)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2392834233:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 2.50/0.95  % (4013015)Instruction limit reached! 
% 2.50/0.95  % (4013015)------------------------------
% 2.50/0.95  % (4013015)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.50/0.95  % (4013015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/0.95  % (4013015)CaDiCaL version: 2.1.3
% 2.50/0.95  % (4013015)Termination reason: Instruction limit
% 2.50/0.95  % (4013015)Termination phase: Saturation
% 2.50/0.95  % (4013015)Time elapsed: 0.350 s
% 2.50/0.95  % (4013015)Peak memory usage: 18 MB
% 2.50/0.95  % (4013015)Instructions burned: 686 (million)
% 2.50/0.95  % (4013024) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4012993-4013024"...
% 2.50/0.95  % (4013024)...printing done.
% 2.50/0.95  % (4013024)Refutation found. Thanks to Tanya!
% 2.50/0.95  % SZS status Theorem for theBenchmark
% 2.50/0.95  % SZS output start Proof for theBenchmark
% See solution above
% 2.50/0.95  % (4013024)------------------------------
% 2.50/0.95  % (4013024)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.50/0.95  % (4013024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/0.95  % (4013024)CaDiCaL version: 2.1.3
% 2.50/0.95  % (4013024)Termination reason: Refutation
% 2.50/0.95  % (4013024)Time elapsed: 0.017 s
% 2.50/0.95  % (4013024)Peak memory usage: 13 MB
% 2.50/0.95  % (4013024)Instructions burned: 24 (million)
% 2.50/0.95  % (4012993)Success in time 0.51 s
% 2.50/0.95  % Vampire exiting
%------------------------------------------------------------------------------