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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SEU156+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n011.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 12:47:28 PM UTC 2026

% Result   : Theorem 2.35s 1.16s
% Output   : Refutation 2.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   33
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   68 (  14 unt;   0 def)
%            Number of atoms       :  165 ( 164 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  145 (  48   ~;  87   |;   6   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :  100 (  96   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_tarski) ).

fof(f2,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(f10,axiom,
    ! [X0,X1,X2,X3] :
      ~ ( unordered_pair(X0,X1) = unordered_pair(X2,X3)
        & X0 != X2
        & X0 != X3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_zfmisc_1) ).

fof(f11,conjecture,
    ! [X0,X1,X2,X3] :
      ( ordered_pair(X0,X1) = ordered_pair(X2,X3)
     => ( X0 = X2
        & X1 = X3 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t33_zfmisc_1) ).

fof(f12,negated_conjecture,
    ~ ! [X0,X1,X2,X3] :
        ( ordered_pair(X0,X1) = ordered_pair(X2,X3)
       => ( X0 = X2
          & X1 = X3 ) ),
    inference(negated_conjecture,[status(cth)],[f11]) ).

fof(f13,axiom,
    ! [X0] : unordered_pair(X0,X0) = singleton(X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t69_enumset1) ).

fof(f15,axiom,
    ! [X0,X1,X2] :
      ( singleton(X0) = unordered_pair(X1,X2)
     => X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_zfmisc_1) ).

fof(f16,axiom,
    ! [X0,X1,X2] :
      ( singleton(X0) = unordered_pair(X1,X2)
     => X1 = X2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_zfmisc_1) ).

fof(f17,plain,
    ? [X0,X1,X2,X3] :
      ( ( X0 != X2
        | X1 != X3 )
      & ordered_pair(X0,X1) = ordered_pair(X2,X3) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f18,plain,
    ! [X0,X1,X2,X3] :
      ( unordered_pair(X0,X1) != unordered_pair(X2,X3)
      | X0 = X2
      | X0 = X3 ),
    inference(ennf_transformation,[],[f10]) ).

fof(f19,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | singleton(X0) != unordered_pair(X1,X2) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f20,plain,
    ! [X0,X1,X2] :
      ( X0 = X1
      | singleton(X0) != unordered_pair(X1,X2) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f21,plain,
    ( ( sK0 != sK2
      | sK1 != sK3 )
    & ordered_pair(sK0,sK1) = ordered_pair(sK2,sK3) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f17]) ).

fof(f24,plain,
    ordered_pair(sK0,sK1) = ordered_pair(sK2,sK3),
    inference(cnf_transformation,[],[f21]) ).

fof(f25,plain,
    ( sK1 != sK3
    | sK0 != sK2 ),
    inference(cnf_transformation,[],[f21]) ).

fof(f27,plain,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f30,plain,
    ! [X2,X3,X0,X1] :
      ( unordered_pair(X0,X1) != unordered_pair(X2,X3)
      | X0 = X2
      | X0 = X3 ),
    inference(cnf_transformation,[],[f18]) ).

fof(f31,plain,
    ! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f32,plain,
    ! [X2,X0,X1] :
      ( X1 = X2
      | singleton(X0) != unordered_pair(X1,X2) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f33,plain,
    ! [X2,X0,X1] :
      ( X0 = X1
      | singleton(X0) != unordered_pair(X1,X2) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f34,plain,
    ! [X0] : singleton(X0) = unordered_pair(X0,X0),
    inference(cnf_transformation,[],[f13]) ).

fof(f35,plain,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),
    inference(definition_unfolding,[],[f27,f34]) ).

fof(f36,plain,
    unordered_pair(unordered_pair(sK0,sK1),unordered_pair(sK0,sK0)) = unordered_pair(unordered_pair(sK2,sK3),unordered_pair(sK2,sK2)),
    inference(definition_unfolding,[],[f24,f35,f35]) ).

fof(f38,plain,
    ! [X2,X0,X1] :
      ( unordered_pair(X0,X0) != unordered_pair(X1,X2)
      | X1 = X2 ),
    inference(definition_unfolding,[],[f32,f34]) ).

fof(f39,plain,
    ! [X2,X0,X1] :
      ( unordered_pair(X0,X0) != unordered_pair(X1,X2)
      | X0 = X1 ),
    inference(definition_unfolding,[],[f33,f34]) ).

fof(f64,plain,
    ! [X2,X0,X1] :
      ( unordered_pair(X0,X1) != unordered_pair(X2,X2)
      | X1 = X2 ),
    inference(superposition,[],[f39,f31]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( unordered_pair(X0,X1) != unordered_pair(unordered_pair(sK0,sK1),unordered_pair(sK0,sK0))
      | unordered_pair(sK2,sK3) = X0
      | unordered_pair(sK2,sK3) = X1 ),
    inference(superposition,[],[f30,f36]) ).

fof(f73,plain,
    ! [X0,X1] :
      ( unordered_pair(X0,X1) != unordered_pair(unordered_pair(sK0,sK1),unordered_pair(sK0,sK0))
      | unordered_pair(sK2,sK3) = X0
      | unordered_pair(sK2,sK2) = X0 ),
    inference(superposition,[],[f30,f36]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( unordered_pair(X0,X1) != unordered_pair(unordered_pair(sK1,sK0),unordered_pair(sK0,sK0))
      | unordered_pair(sK2,sK3) = X0
      | unordered_pair(sK2,sK2) = X0 ),
    inference(forward_demodulation,[],[f73,f31]) ).

fof(f79,plain,
    ! [X0,X1] :
      ( unordered_pair(X0,X1) != unordered_pair(unordered_pair(sK1,sK0),unordered_pair(sK0,sK0))
      | unordered_pair(sK2,sK3) = X0
      | unordered_pair(sK2,sK3) = X1 ),
    inference(forward_demodulation,[],[f69,f31]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( unordered_pair(X0,X1) != unordered_pair(unordered_pair(sK1,sK0),unordered_pair(sK0,sK0))
      | unordered_pair(sK3,sK2) = X0
      | unordered_pair(sK2,sK2) = X0 ),
    inference(forward_demodulation,[],[f78,f31]) ).

fof(f81,plain,
    ! [X0,X1] :
      ( unordered_pair(sK3,sK2) = X0
      | unordered_pair(X0,X1) != unordered_pair(unordered_pair(sK1,sK0),unordered_pair(sK0,sK0))
      | unordered_pair(sK2,sK3) = X1 ),
    inference(forward_demodulation,[],[f79,f31]) ).

fof(f82,plain,
    ! [X0,X1] :
      ( unordered_pair(X0,X1) != unordered_pair(unordered_pair(sK1,sK0),unordered_pair(sK0,sK0))
      | unordered_pair(sK3,sK2) = X0
      | unordered_pair(sK3,sK2) = X1 ),
    inference(forward_demodulation,[],[f81,f31]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( unordered_pair(X0,X1) != unordered_pair(unordered_pair(sK1,sK0),unordered_pair(sK0,sK0))
      | unordered_pair(sK3,sK2) = X1
      | unordered_pair(sK2,sK2) = X1 ),
    inference(superposition,[],[f80,f31]) ).

fof(f86,plain,
    ( unordered_pair(sK3,sK2) = unordered_pair(sK1,sK0)
    | unordered_pair(sK2,sK2) = unordered_pair(sK1,sK0) ),
    inference(equality_resolution,[],[f80]) ).

fof(f89,plain,
    ! [X0,X1] :
      ( unordered_pair(X0,X1) != unordered_pair(sK1,sK0)
      | sK3 = X0
      | sK3 = X1
      | unordered_pair(sK2,sK2) = unordered_pair(sK1,sK0) ),
    inference(superposition,[],[f30,f86]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( unordered_pair(X0,X1) != unordered_pair(sK1,sK0)
      | sK3 = X0
      | sK2 = X0
      | unordered_pair(sK2,sK2) = unordered_pair(sK1,sK0) ),
    inference(superposition,[],[f30,f86]) ).

fof(f97,plain,
    ( unordered_pair(sK3,sK2) = unordered_pair(sK1,sK0)
    | unordered_pair(sK0,sK0) = unordered_pair(sK3,sK2) ),
    inference(equality_resolution,[],[f82]) ).

fof(f103,plain,
    ! [X0] :
      ( unordered_pair(X0,X0) != unordered_pair(sK1,sK0)
      | sK2 = sK3
      | unordered_pair(sK0,sK0) = unordered_pair(sK3,sK2) ),
    inference(superposition,[],[f38,f97]) ).

fof(f105,plain,
    ! [X0] :
      ( unordered_pair(X0,X0) != unordered_pair(sK1,sK0)
      | sK2 = sK3 ),
    inference(forward_subsumption_resolution,[],[f103,f38]) ).

fof(f137,plain,
    ! [X0] :
      ( unordered_pair(X0,X0) != unordered_pair(sK1,sK0)
      | sK2 = X0
      | unordered_pair(sK2,sK2) = unordered_pair(sK1,sK0) ),
    inference(superposition,[],[f64,f86]) ).

fof(f160,plain,
    ( unordered_pair(sK2,sK2) = unordered_pair(sK1,sK0)
    | sK0 = sK3
    | sK1 = sK3 ),
    inference(equality_resolution,[],[f89]) ).

fof(f183,plain,
    ( unordered_pair(sK1,sK0) != unordered_pair(sK1,sK0)
    | sK2 = sK3
    | sK0 = sK3
    | sK1 = sK3 ),
    inference(superposition,[],[f105,f160]) ).

fof(f184,plain,
    ( sK2 = sK3
    | sK0 = sK3
    | sK1 = sK3 ),
    inference(trivial_inequality_removal,[],[f183]) ).

fof(f203,plain,
    ( unordered_pair(sK1,sK0) = unordered_pair(sK3,sK3)
    | sK0 = sK3
    | sK1 = sK3
    | sK0 = sK3
    | sK1 = sK3 ),
    inference(superposition,[],[f160,f184]) ).

fof(f204,plain,
    ( unordered_pair(sK1,sK0) = unordered_pair(sK3,sK3)
    | sK0 = sK3
    | sK1 = sK3 ),
    inference(duplicate_literal_removal,[],[f203]) ).

fof(f206,plain,
    ( sK1 = sK3
    | sK0 = sK3 ),
    inference(forward_subsumption_resolution,[],[f204,f30]) ).

fof(f215,plain,
    ( unordered_pair(sK0,sK0) = unordered_pair(sK3,sK2)
    | unordered_pair(sK0,sK0) = unordered_pair(sK2,sK2) ),
    inference(equality_resolution,[],[f84]) ).

fof(f216,plain,
    ( sK1 != sK1
    | sK0 != sK2
    | sK0 = sK3 ),
    inference(superposition,[],[f25,f206]) ).

fof(f224,plain,
    ( sK0 != sK2
    | sK0 = sK3 ),
    inference(trivial_inequality_removal,[],[f216]) ).

fof(f266,plain,
    ( unordered_pair(sK3,sK2) != unordered_pair(sK1,sK0)
    | sK0 = sK2
    | unordered_pair(sK2,sK2) = unordered_pair(sK1,sK0)
    | unordered_pair(sK0,sK0) = unordered_pair(sK2,sK2) ),
    inference(superposition,[],[f137,f215]) ).

fof(f272,plain,
    ( sK0 = sK2
    | unordered_pair(sK2,sK2) = unordered_pair(sK1,sK0)
    | unordered_pair(sK0,sK0) = unordered_pair(sK2,sK2) ),
    inference(forward_subsumption_resolution,[],[f266,f86]) ).

fof(f276,plain,
    ( sK0 = sK2
    | unordered_pair(sK2,sK2) = unordered_pair(sK1,sK0) ),
    inference(forward_subsumption_resolution,[],[f272,f39]) ).

fof(f277,plain,
    sK0 = sK2,
    inference(forward_subsumption_resolution,[],[f276,f64]) ).

fof(f289,plain,
    ( sK0 != sK0
    | sK0 = sK3 ),
    inference(superposition,[],[f224,f277]) ).

fof(f290,plain,
    sK0 = sK3,
    inference(trivial_inequality_removal,[],[f289]) ).

fof(f377,plain,
    ! [X0,X1] :
      ( unordered_pair(X0,X1) != unordered_pair(sK1,sK3)
      | sK3 = X0
      | sK2 = X0
      | unordered_pair(sK2,sK2) = unordered_pair(sK1,sK0) ),
    inference(forward_demodulation,[],[f90,f290]) ).

fof(f378,plain,
    ! [X0,X1] :
      ( sK0 = X0
      | unordered_pair(X0,X1) != unordered_pair(sK1,sK3)
      | sK3 = X0
      | unordered_pair(sK2,sK2) = unordered_pair(sK1,sK0) ),
    inference(forward_demodulation,[],[f377,f277]) ).

fof(f379,plain,
    ! [X0,X1] :
      ( sK3 = X0
      | unordered_pair(X0,X1) != unordered_pair(sK1,sK3)
      | sK3 = X0
      | unordered_pair(sK2,sK2) = unordered_pair(sK1,sK0) ),
    inference(forward_demodulation,[],[f378,f290]) ).

fof(f380,plain,
    ! [X0,X1] :
      ( sK3 = X0
      | unordered_pair(X0,X1) != unordered_pair(sK1,sK3)
      | unordered_pair(sK2,sK2) = unordered_pair(sK1,sK0) ),
    inference(duplicate_literal_removal,[],[f379]) ).

fof(f381,plain,
    ! [X0,X1] :
      ( unordered_pair(sK2,sK2) = unordered_pair(sK1,sK3)
      | sK3 = X0
      | unordered_pair(X0,X1) != unordered_pair(sK1,sK3) ),
    inference(forward_demodulation,[],[f380,f290]) ).

fof(f382,plain,
    ! [X0,X1] :
      ( unordered_pair(sK0,sK0) = unordered_pair(sK1,sK3)
      | sK3 = X0
      | unordered_pair(X0,X1) != unordered_pair(sK1,sK3) ),
    inference(forward_demodulation,[],[f381,f277]) ).

fof(f383,plain,
    ! [X0,X1] :
      ( unordered_pair(X0,X1) != unordered_pair(sK1,sK3)
      | sK3 = X0
      | unordered_pair(sK3,sK3) = unordered_pair(sK1,sK3) ),
    inference(forward_demodulation,[],[f382,f290]) ).

fof(f393,plain,
    ( sK1 = sK3
    | unordered_pair(sK3,sK3) = unordered_pair(sK1,sK3) ),
    inference(equality_resolution,[],[f383]) ).

fof(f394,plain,
    sK1 = sK3,
    inference(forward_subsumption_resolution,[],[f393,f38]) ).

fof(f403,plain,
    ( sK1 != sK1
    | sK0 != sK2 ),
    inference(superposition,[],[f25,f394]) ).

fof(f411,plain,
    sK0 != sK2,
    inference(trivial_inequality_removal,[],[f403]) ).

fof(f413,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f411,f277]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU156+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38  % Computer : n011.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Mon Sep 28 03:47:15 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41  Running first-order theorem proving
% 0.11/0.41  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
% 2.35/1.16  % (2998700)Detected formulas, will run a generic FOF schedule.
% 2.35/1.16  % (2998709)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1162886651:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.35/1.16  % (2998709)First to succeed.
% 2.35/1.16  % (2998709)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2998700"
% 2.35/1.16  % (2998707)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=1186825478:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.35/1.16  % (2998705)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=2157743082:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.35/1.16  % (2998706)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=3809765425:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.35/1.16  % (2998708)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4091509079:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.35/1.16  % (2998711)dis-21_1_sil=8000:lcm=predicate:random_seed=3102504289: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)
% 2.35/1.16  % (2998710)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1197910457:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.35/1.16  % (2998708)Refutation not found, incomplete strategy
% 2.35/1.16  % (2998708)------------------------------
% 2.35/1.16  % (2998708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.35/1.16  % (2998708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/1.16  % (2998708)CaDiCaL version: 2.1.3
% 2.35/1.16  % (2998708)Termination reason: Refutation not found, incomplete strategy
% 2.35/1.16  % (2998708)Time elapsed: 0.001 s
% 2.35/1.16  % (2998708)Peak memory usage: 88 MB
% 2.35/1.16  % (2998711)Instruction limit reached! 
% 2.35/1.16  % (2998711)------------------------------
% 2.35/1.16  % (2998711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.35/1.16  % (2998711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/1.16  % (2998711)CaDiCaL version: 2.1.3
% 2.35/1.16  % (2998711)Termination reason: Instruction limit
% 2.35/1.16  % (2998711)Termination phase: Saturation
% 2.35/1.16  % (2998711)Time elapsed: 0.069 s
% 2.35/1.16  % (2998711)Peak memory usage: 89 MB
% 2.35/1.16  % (2998711)Instructions burned: 130 (million)
% 2.35/1.16  % (2998710)Instruction limit reached! 
% 2.35/1.16  % (2998710)------------------------------
% 2.35/1.16  % (2998710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.35/1.16  % (2998710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/1.16  % (2998710)CaDiCaL version: 2.1.3
% 2.35/1.16  % (2998710)Termination reason: Instruction limit
% 2.35/1.16  % (2998710)Termination phase: Saturation
% 2.35/1.16  % (2998710)Time elapsed: 0.081 s
% 2.35/1.16  % (2998710)Peak memory usage: 89 MB
% 2.35/1.16  % (2998710)Instructions burned: 141 (million)
% 2.35/1.16  % (2998709)Refutation found. Thanks to Tanya!
% 2.35/1.16  % SZS status Theorem for theBenchmark
% 2.35/1.16  % SZS output start Proof for theBenchmark
% See solution above
% 2.76/1.36  % (2998709)------------------------------
% 2.76/1.36  % (2998709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.76/1.36  % (2998709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/1.36  % (2998709)CaDiCaL version: 2.1.3
% 2.76/1.36  % (2998709)Termination reason: Refutation
% 2.76/1.36  % (2998709)Time elapsed: 0.007 s
% 2.76/1.36  % (2998709)Peak memory usage: 88 MB
% 2.76/1.36  % (2998709)Instructions burned: 23 (million)
% 2.76/1.36  % (2998709)------------------------------
% 2.76/1.36  % (2998709)------------------------------
% 2.76/1.36  % (2998700)Success in time 0.308 s
% 2.76/1.36  % Vampire exiting
%------------------------------------------------------------------------------