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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SET103+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n006.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 12:43:08 PM UTC 2026

% Result   : Theorem 1.63s 0.75s
% Output   : Refutation 1.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   59 (  26 unt;   8 def)
%            Number of atoms       :  115 (  56 equ)
%            Maximal formula atoms :    8 (   1 avg)
%            Number of connectives :   94 (  38   ~;  37   |;  15   &)
%                                         (   3 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;  10 con; 0-2 aty)
%            Number of variables   :   35 (   0 sgn  31   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,axiom,
    ! [X0,X1,X2] :
      ( member(X0,unordered_pair(X1,X2))
    <=> ( member(X0,universal_class)
        & ( X0 = X1
          | X0 = X2 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',unordered_pair_defn) ).

fof(f6,axiom,
    ! [X0] : singleton(X0) = unordered_pair(X0,X0),
    file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',singleton_set_defn) ).

fof(f7,axiom,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))),
    file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',ordered_pair_defn) ).

fof(f41,axiom,
    ! [X0] :
      ( X0 != null_class
     => ? [X1] :
          ( member(X1,universal_class)
          & member(X1,X0)
          & disjoint(X1,X0) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',regularity) ).

fof(f44,conjecture,
    ! [X0,X1] :
      ( unordered_pair(singleton(X0),unordered_pair(X0,null_class)) = ordered_pair(X0,X1)
      | member(X1,universal_class) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_1_of_ordered_pair) ).

fof(f45,negated_conjecture,
    ~ ! [X0,X1] :
        ( unordered_pair(singleton(X0),unordered_pair(X0,null_class)) = ordered_pair(X0,X1)
        | member(X1,universal_class) ),
    inference(negated_conjecture,[status(cth)],[f44]) ).

fof(f57,plain,
    ! [X0] :
      ( ? [X1] :
          ( member(X1,universal_class)
          & member(X1,X0)
          & disjoint(X1,X0) )
      | null_class = X0 ),
    inference(ennf_transformation,[],[f41]) ).

fof(f60,plain,
    ? [X0,X1] :
      ( ordered_pair(X0,X1) != unordered_pair(singleton(X0),unordered_pair(X0,null_class))
      & ~ member(X1,universal_class) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f66,plain,
    ! [X0,X1,X2] :
      ( ( member(X0,unordered_pair(X1,X2))
        | ~ member(X0,universal_class)
        | ( X0 != X1
          & X0 != X2 ) )
      & ( ( member(X0,universal_class)
          & ( X0 = X1
            | X0 = X2 ) )
        | ~ member(X0,unordered_pair(X1,X2)) ) ),
    inference(nnf_transformation,[],[f4]) ).

fof(f67,plain,
    ! [X0,X1,X2] :
      ( ( member(X0,unordered_pair(X1,X2))
        | ~ member(X0,universal_class)
        | ( X0 != X1
          & X0 != X2 ) )
      & ( ( member(X0,universal_class)
          & ( X0 = X1
            | X0 = X2 ) )
        | ~ member(X0,unordered_pair(X1,X2)) ) ),
    inference(flattening,[],[f66]) ).

fof(f101,plain,
    ! [X0] :
      ( ( member(sK4(X0),universal_class)
        & member(sK4(X0),X0)
        & disjoint(sK4(X0),X0) )
      | null_class = X0 ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X1,sK4(X0))],[f57]) ).

fof(f103,plain,
    ( ordered_pair(sK6,sK7) != unordered_pair(singleton(sK6),unordered_pair(sK6,null_class))
    & ~ member(sK7,universal_class) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7]),skolemize(X0,sK6),skolemize(X1,sK7)],[f60]) ).

fof(f111,plain,
    ! [X2,X0,X1] :
      ( ~ member(X0,unordered_pair(X1,X2))
      | X0 = X2
      | X0 = X1 ),
    inference(cnf_transformation,[],[f67]) ).

fof(f116,plain,
    ! [X0] : singleton(X0) = unordered_pair(X0,X0),
    inference(cnf_transformation,[],[f6]) ).

fof(f117,plain,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))),
    inference(cnf_transformation,[],[f7]) ).

fof(f186,plain,
    ! [X0] :
      ( member(sK4(X0),X0)
      | null_class = X0 ),
    inference(cnf_transformation,[],[f101]) ).

fof(f187,plain,
    ! [X0] :
      ( member(sK4(X0),universal_class)
      | null_class = X0 ),
    inference(cnf_transformation,[],[f101]) ).

fof(f191,plain,
    ~ member(sK7,universal_class),
    inference(cnf_transformation,[],[f103]) ).

fof(f192,plain,
    ordered_pair(sK6,sK7) != unordered_pair(singleton(sK6),unordered_pair(sK6,null_class)),
    inference(cnf_transformation,[],[f103]) ).

fof(f193,plain,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
    inference(definition_unfolding,[],[f117,f116,f116]) ).

fof(f230,plain,
    unordered_pair(unordered_pair(sK6,sK6),unordered_pair(sK6,unordered_pair(sK7,sK7))) != unordered_pair(unordered_pair(sK6,sK6),unordered_pair(sK6,null_class)),
    inference(definition_unfolding,[],[f192,f193,f116]) ).

fof(f237,definition,
    sF8 = unordered_pair(sK6,sK6),
    introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).

fof(f238,plain,
    unordered_pair(sK6,sK6) = sF8,
    inference(reorient_equations,[],[f237]) ).

fof(f239,definition,
    sF9 = unordered_pair(sK7,sK7),
    introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).

fof(f240,plain,
    unordered_pair(sK7,sK7) = sF9,
    inference(reorient_equations,[],[f239]) ).

fof(f241,definition,
    sF10 = unordered_pair(sK6,sF9),
    introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).

fof(f242,plain,
    unordered_pair(sK6,sF9) = sF10,
    inference(reorient_equations,[],[f241]) ).

fof(f243,definition,
    sF11 = unordered_pair(sF8,sF10),
    introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).

fof(f244,plain,
    unordered_pair(sF8,sF10) = sF11,
    inference(reorient_equations,[],[f243]) ).

fof(f245,definition,
    sF12 = unordered_pair(sK6,null_class),
    introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).

fof(f246,plain,
    unordered_pair(sK6,null_class) = sF12,
    inference(reorient_equations,[],[f245]) ).

fof(f247,definition,
    sF13 = unordered_pair(sF8,sF12),
    introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).

fof(f248,plain,
    unordered_pair(sF8,sF12) = sF13,
    inference(reorient_equations,[],[f247]) ).

fof(f249,plain,
    sF11 != sF13,
    inference(definition_folding,[],[f230,f248,f246,f238,f244,f242,f240,f238]) ).

fof(f535,plain,
    ! [X0] :
      ( ~ member(X0,sF9)
      | sK7 = X0
      | sK7 = X0 ),
    inference(superposition,[],[f111,f240]) ).

fof(f538,plain,
    ! [X0] :
      ( ~ member(X0,sF9)
      | sK7 = X0 ),
    inference(duplicate_literal_removal,[],[f535]) ).

fof(f897,definition,
    ( spl14_34
  <=> null_class = sF9 ),
    introduced(definition,[new_symbols(definition,[spl14_34])],[avatar_definition]) ).

fof(f898,plain,
    ( null_class != sF9
    | spl14_34 ),
    inference(avatar_component_clause,[],[f897]) ).

fof(f899,plain,
    ( null_class = sF9
    | ~ spl14_34 ),
    inference(avatar_component_clause,[],[f897]) ).

fof(f1042,plain,
    ( sK7 = sK4(sF9)
    | null_class = sF9 ),
    inference(resolution,[],[f538,f186]) ).

fof(f1045,definition,
    ( spl14_47
  <=> sK7 = sK4(sF9) ),
    introduced(definition,[new_symbols(definition,[spl14_47])],[avatar_definition]) ).

fof(f1047,plain,
    ( sK7 = sK4(sF9)
    | ~ spl14_47 ),
    inference(avatar_component_clause,[],[f1045]) ).

fof(f1048,plain,
    ( spl14_34
    | spl14_47 ),
    inference(avatar_split_clause,[],[f1042,f1045,f897]) ).

fof(f1057,plain,
    ( unordered_pair(sK6,sF9) = sF12
    | ~ spl14_34 ),
    inference(superposition,[],[f246,f899]) ).

fof(f1070,plain,
    ( sF10 = sF12
    | ~ spl14_34 ),
    inference(forward_demodulation,[],[f1057,f242]) ).

fof(f1113,plain,
    ( ~ member(sK4(sF9),universal_class)
    | ~ spl14_47 ),
    inference(superposition,[],[f191,f1047]) ).

fof(f1126,plain,
    ( null_class = sF9
    | ~ spl14_47 ),
    inference(resolution,[],[f1113,f187]) ).

fof(f1127,plain,
    ( $false
    | spl14_34
    | ~ spl14_47 ),
    inference(forward_subsumption_resolution,[],[f1126,f898]) ).

fof(f1128,plain,
    ( spl14_34
    | ~ spl14_47 ),
    inference(avatar_contradiction_clause,[],[f1127]) ).

fof(f2163,plain,
    ( unordered_pair(sF8,sF10) = sF13
    | ~ spl14_34 ),
    inference(superposition,[],[f248,f1070]) ).

fof(f2171,plain,
    ( sF11 = sF13
    | ~ spl14_34 ),
    inference(forward_demodulation,[],[f2163,f244]) ).

fof(f2172,plain,
    ( $false
    | ~ spl14_34 ),
    inference(forward_subsumption_resolution,[],[f2171,f249]) ).

fof(f2173,plain,
    ~ spl14_34,
    inference(avatar_contradiction_clause,[],[f2172]) ).

cnf(s36,plain,
    ( spl14_34
    | spl14_47 ),
    inference(sat_conversion,[],[f1048]) ).

cnf(s42,plain,
    ( spl14_34
    | ~ spl14_47 ),
    inference(sat_conversion,[],[f1128]) ).

cnf(s90,plain,
    ~ spl14_34,
    inference(sat_conversion,[],[f2173]) ).

cnf(s91,plain,
    ~ spl14_47,
    inference(rat,[],[s42,s90]) ).

cnf(s93,plain,
    $false,
    inference(rat,[],[s36,s91,s90]) ).

fof(f2174,plain,
    $false,
    inference(avatar_sat_refutation,[],[s93]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SET103+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38  % Computer : n006.cluster.edu
% 0.10/0.38  % Model    : x86_64 x86_64
% 0.10/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38  % Memory   : 8046.5625MB
% 0.10/0.38  % OS       : Linux 6.8.0-71-generic
% 0.10/0.38  % CPULimit : 300
% 0.10/0.38  % WCLimit  : 300
% 0.10/0.38  % DateTime : Mon Sep 28 00:43:41 UTC 2026
% 0.10/0.38  % CPUTime  : 
% 0.10/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.42  Running first-order model finding
% 0.10/0.42  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
% 1.63/0.75  % (3486549)Will run a generic schedule for satisfiability detection.
% 1.63/0.75  % (3486557)dis+10_1_sil=32000:sp=arity:random_seed=3621153851:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.63/0.75  % (3486555)% WARNING: option uhcvi not known.
% 1.63/0.75  % (3486554)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3246100665_2999 on theBenchmark for (2999ds/0Mi)
% 1.63/0.75  % (3486558)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=828968045:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.63/0.75  % (3486555)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2956592928:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.63/0.75  % (3486556)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1943791687:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.63/0.75  % (3486559)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=401489471:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.63/0.75  % (3486560)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3236630307:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.63/0.75  % (3486557)Instruction limit reached! 
% 1.63/0.75  % (3486557)------------------------------
% 1.63/0.75  % (3486557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.75  % (3486557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.75  % (3486557)CaDiCaL version: 2.1.3
% 1.63/0.75  % (3486557)Termination reason: Instruction limit
% 1.63/0.75  % (3486557)Termination phase: Saturation
% 1.63/0.75  % (3486557)Time elapsed: 0.036 s
% 1.63/0.75  % (3486557)Peak memory usage: 13 MB
% 1.63/0.75  % (3486557)Instructions burned: 105 (million)
% 1.63/0.75  % TRYING [1]
% 1.63/0.75  % TRYING [2]
% 1.63/0.75  % (3486568)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=459156193:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.63/0.75  % TRYING [3]
% 1.63/0.75  % TRYING [1]
% 1.63/0.75  % TRYING [2]
% 1.63/0.75  % TRYING [3]
% 1.63/0.75  % (3486558)Instruction limit reached! 
% 1.63/0.75  % (3486558)------------------------------
% 1.63/0.75  % (3486558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.75  % (3486558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.75  % (3486558)CaDiCaL version: 2.1.3
% 1.63/0.75  % (3486558)Termination reason: Instruction limit
% 1.63/0.75  % (3486558)Termination phase: Saturation
% 1.63/0.75  % (3486558)Time elapsed: 0.069 s
% 1.63/0.75  % (3486558)Peak memory usage: 13 MB
% 1.63/0.75  % (3486558)Instructions burned: 116 (million)
% 1.63/0.75  % (3486559)Instruction limit reached! 
% 1.63/0.75  % (3486559)------------------------------
% 1.63/0.75  % (3486559)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.75  % (3486559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.75  % (3486559)CaDiCaL version: 2.1.3
% 1.63/0.75  % (3486559)Termination reason: Instruction limit
% 1.63/0.75  % (3486559)Termination phase: Saturation
% 1.63/0.75  % (3486559)Time elapsed: 0.074 s
% 1.63/0.75  % (3486559)Peak memory usage: 13 MB
% 1.63/0.75  % (3486559)Instructions burned: 131 (million)
% 1.63/0.75  % TRYING [4]
% 1.63/0.75  % (3486570)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=265745327:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.63/0.75  % TRYING [4]
% 1.63/0.75  % (3486571)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=1846911158:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.63/0.75  % (3486560)Instruction limit reached! 
% 1.63/0.75  % (3486560)------------------------------
% 1.63/0.75  % (3486560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.75  % (3486560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.75  % (3486560)CaDiCaL version: 2.1.3
% 1.63/0.75  % (3486560)Termination reason: Instruction limit
% 1.63/0.75  % (3486560)Termination phase: Saturation
% 1.63/0.75  % (3486560)Time elapsed: 0.100 s
% 1.63/0.75  % (3486560)Peak memory usage: 13 MB
% 1.63/0.75  % (3486560)Instructions burned: 160 (million)
% 1.63/0.75  % (3486574)ott-21_1_sil=16000:fs=off:random_seed=4062593970:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.63/0.75  % (3486570)Instruction limit reached! 
% 1.63/0.75  % (3486570)------------------------------
% 1.63/0.75  % (3486570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.75  % (3486570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.75  % (3486570)CaDiCaL version: 2.1.3
% 1.63/0.75  % (3486570)Termination reason: Instruction limit
% 1.63/0.75  % (3486570)Termination phase: Saturation
% 1.63/0.75  % (3486570)Time elapsed: 0.076 s
% 1.63/0.75  % (3486570)Peak memory usage: 13 MB
% 1.63/0.75  % (3486570)Instructions burned: 132 (million)
% 1.63/0.75  % TRYING [5]
% 1.63/0.75  % (3486576)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3386133975:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.63/0.75  % (3486568)Instruction limit reached! 
% 1.63/0.75  % (3486568)------------------------------
% 1.63/0.75  % (3486568)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.75  % (3486568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.75  % (3486568)CaDiCaL version: 2.1.3
% 1.63/0.75  % (3486568)Termination reason: Instruction limit
% 1.63/0.75  % (3486568)Termination phase: Finite model building constraint generation
% 1.63/0.75  % (3486568)Time elapsed: 0.156 s
% 1.63/0.75  % (3486568)Peak memory usage: 39 MB
% 1.63/0.75  % (3486568)Instructions burned: 720 (million)
% 1.63/0.75  % (3486578)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=338152709:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.63/0.75  % (3486574)Instruction limit reached! 
% 1.63/0.75  % (3486574)------------------------------
% 1.63/0.75  % (3486574)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.75  % (3486574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.75  % (3486574)CaDiCaL version: 2.1.3
% 1.63/0.75  % (3486574)Termination reason: Instruction limit
% 1.63/0.75  % (3486574)Termination phase: Saturation
% 1.63/0.75  % (3486574)Time elapsed: 0.095 s
% 1.63/0.75  % (3486574)Peak memory usage: 13 MB
% 1.63/0.75  % (3486574)Instructions burned: 182 (million)
% 1.63/0.75  % TRYING [1]
% 1.63/0.75  % TRYING [2]
% 1.63/0.75  % (3486580)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1954715814:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 1.63/0.75  % TRYING [3]
% 1.63/0.75  % TRYING [5]
% 1.63/0.75  % (3486580) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3486549-3486580"...
% 1.63/0.75  % (3486580)...printing done.
% 1.63/0.75  % (3486580)Refutation found. Thanks to Tanya!
% 1.63/0.75  % SZS status Theorem for theBenchmark
% 1.63/0.75  % SZS output start Proof for theBenchmark
% See solution above
% 1.63/0.75  % (3486580)------------------------------
% 1.63/0.75  % (3486580)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.75  % (3486580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.75  % (3486580)CaDiCaL version: 2.1.3
% 1.63/0.75  % (3486580)Termination reason: Refutation
% 1.63/0.75  % (3486580)Time elapsed: 0.048 s
% 1.63/0.75  % (3486580)Peak memory usage: 13 MB
% 1.63/0.75  % (3486580)Instructions burned: 75 (million)
% 1.63/0.75  % (3486549)Success in time 0.326 s
% 1.63/0.75  % Vampire exiting
%------------------------------------------------------------------------------