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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : NUM342+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n018.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 12:12:13 PM UTC 2026

% Result   : Theorem 3.19s 1.35s
% Output   : Refutation 3.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   41 (  14 unt;   0 def)
%            Number of atoms       :  129 (   0 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  180 (  92   ~;  78   |;   7   &)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   7 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-4 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-1 aty)
%            Number of variables   :  123 ( 119   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    rdn_translate(n0,rdn_pos(rdnn(n0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn0) ).

fof(f5,axiom,
    rdn_translate(n4,rdn_pos(rdnn(n4))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn4) ).

fof(f9,axiom,
    rdn_translate(n8,rdn_pos(rdnn(n8))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn8) ).

fof(f287,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( rdn_translate(X0,rdn_pos(X3))
        & rdn_translate(X1,rdn_pos(X4))
        & rdn_add_with_carry(rdnn(n0),X3,X4,X5)
        & rdn_translate(X2,rdn_pos(X5)) )
     => sum(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_entry_point_pos_pos) ).

fof(f296,axiom,
    ! [X0,X1,X2] :
      ( sum(X1,X2,X0)
    <=> difference(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',minus_entry_point) ).

fof(f297,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ( rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X4),rdnn(n0))
        & rdn_digit_add(rdnn(X4),rdnn(X0),rdnn(X3),rdnn(n0)) )
     => rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add_digit_digit_digit) ).

fof(f342,axiom,
    rdn_digit_add(rdnn(n4),rdnn(n0),rdnn(n4),rdnn(n0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n4_n0_n4_n0) ).

fof(f346,axiom,
    rdn_digit_add(rdnn(n4),rdnn(n4),rdnn(n8),rdnn(n0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n4_n4_n8_n0) ).

fof(f382,axiom,
    rdn_digit_add(rdnn(n8),rdnn(n0),rdnn(n8),rdnn(n0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n8_n0_n8_n0) ).

fof(f402,conjecture,
    ? [X0,X1] :
      ( sum(X0,X1,n8)
      & difference(X0,X1,n0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_and_difference) ).

fof(f403,negated_conjecture,
    ~ ? [X0,X1] :
        ( sum(X0,X1,n8)
        & difference(X0,X1,n0) ),
    inference(negated_conjecture,[status(cth)],[f402]) ).

fof(f423,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( sum(X0,X1,X2)
      | ~ rdn_translate(X0,rdn_pos(X3))
      | ~ rdn_translate(X1,rdn_pos(X4))
      | ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
      | ~ rdn_translate(X2,rdn_pos(X5)) ),
    inference(ennf_transformation,[],[f287]) ).

fof(f424,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( sum(X0,X1,X2)
      | ~ rdn_translate(X0,rdn_pos(X3))
      | ~ rdn_translate(X1,rdn_pos(X4))
      | ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
      | ~ rdn_translate(X2,rdn_pos(X5)) ),
    inference(flattening,[],[f423]) ).

fof(f441,plain,
    ! [X0,X1,X2,X3,X4] :
      ( rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(X3))
      | ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X4),rdnn(n0))
      | ~ rdn_digit_add(rdnn(X4),rdnn(X0),rdnn(X3),rdnn(n0)) ),
    inference(ennf_transformation,[],[f297]) ).

fof(f442,plain,
    ! [X0,X1,X2,X3,X4] :
      ( rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(X3))
      | ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X4),rdnn(n0))
      | ~ rdn_digit_add(rdnn(X4),rdnn(X0),rdnn(X3),rdnn(n0)) ),
    inference(flattening,[],[f441]) ).

fof(f450,plain,
    ! [X0,X1] :
      ( ~ sum(X0,X1,n8)
      | ~ difference(X0,X1,n0) ),
    inference(ennf_transformation,[],[f403]) ).

fof(f453,plain,
    ! [X0,X1,X2] :
      ( ( sum(X1,X2,X0)
        | ~ difference(X0,X1,X2) )
      & ( difference(X0,X1,X2)
        | ~ sum(X1,X2,X0) ) ),
    inference(nnf_transformation,[],[f296]) ).

fof(f454,plain,
    rdn_translate(n0,rdn_pos(rdnn(n0))),
    inference(cnf_transformation,[],[f1]) ).

fof(f458,plain,
    rdn_translate(n4,rdn_pos(rdnn(n4))),
    inference(cnf_transformation,[],[f5]) ).

fof(f462,plain,
    rdn_translate(n8,rdn_pos(rdnn(n8))),
    inference(cnf_transformation,[],[f9]) ).

fof(f742,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
      | ~ rdn_translate(X0,rdn_pos(X3))
      | ~ rdn_translate(X1,rdn_pos(X4))
      | sum(X0,X1,X2)
      | ~ rdn_translate(X2,rdn_pos(X5)) ),
    inference(cnf_transformation,[],[f424]) ).

fof(f751,plain,
    ! [X2,X0,X1] :
      ( ~ sum(X1,X2,X0)
      | difference(X0,X1,X2) ),
    inference(cnf_transformation,[],[f453]) ).

fof(f753,plain,
    ! [X2,X3,X0,X1,X4] :
      ( rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(X3))
      | ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X4),rdnn(n0))
      | ~ rdn_digit_add(rdnn(X4),rdnn(X0),rdnn(X3),rdnn(n0)) ),
    inference(cnf_transformation,[],[f442]) ).

fof(f798,plain,
    rdn_digit_add(rdnn(n4),rdnn(n0),rdnn(n4),rdnn(n0)),
    inference(cnf_transformation,[],[f342]) ).

fof(f802,plain,
    rdn_digit_add(rdnn(n4),rdnn(n4),rdnn(n8),rdnn(n0)),
    inference(cnf_transformation,[],[f346]) ).

fof(f838,plain,
    rdn_digit_add(rdnn(n8),rdnn(n0),rdnn(n8),rdnn(n0)),
    inference(cnf_transformation,[],[f382]) ).

fof(f858,plain,
    ! [X0,X1] :
      ( ~ difference(X0,X1,n0)
      | ~ sum(X0,X1,n8) ),
    inference(cnf_transformation,[],[f450]) ).

fof(f893,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( sum(X4,X5,X6)
      | ~ rdn_digit_add(rdnn(X2),rdnn(n0),rdnn(X3),rdnn(n0))
      | ~ rdn_translate(X4,rdn_pos(rdnn(X0)))
      | ~ rdn_translate(X5,rdn_pos(rdnn(X1)))
      | ~ rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(n0))
      | ~ rdn_translate(X6,rdn_pos(rdnn(X3))) ),
    inference(resolution,[],[f753,f742]) ).

fof(f962,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( difference(X6,X2,X4)
      | ~ rdn_translate(X2,rdn_pos(rdnn(X3)))
      | ~ rdn_translate(X4,rdn_pos(rdnn(X5)))
      | ~ rdn_digit_add(rdnn(X3),rdnn(X5),rdnn(X0),rdnn(n0))
      | ~ rdn_translate(X6,rdn_pos(rdnn(X1)))
      | ~ rdn_digit_add(rdnn(X0),rdnn(n0),rdnn(X1),rdnn(n0)) ),
    inference(resolution,[],[f893,f751]) ).

fof(f1091,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ rdn_translate(n0,rdn_pos(rdnn(X2)))
      | ~ rdn_translate(X0,rdn_pos(rdnn(X1)))
      | ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
      | ~ rdn_translate(X4,rdn_pos(rdnn(X5)))
      | ~ rdn_digit_add(rdnn(X3),rdnn(n0),rdnn(X5),rdnn(n0))
      | ~ sum(X4,X0,n8) ),
    inference(resolution,[],[f962,f858]) ).

fof(f1163,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ sum(X3,X0,n8)
      | ~ rdn_digit_add(rdnn(X1),rdnn(n0),rdnn(X2),rdnn(n0))
      | ~ rdn_translate(X3,rdn_pos(rdnn(X4)))
      | ~ rdn_digit_add(rdnn(X2),rdnn(n0),rdnn(X4),rdnn(n0))
      | ~ rdn_translate(X0,rdn_pos(rdnn(X1))) ),
    inference(resolution,[],[f1091,f454]) ).

fof(f1171,plain,
    ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
      ( ~ rdn_translate(n8,rdn_pos(rdnn(X6)))
      | ~ rdn_translate(X2,rdn_pos(rdnn(X3)))
      | ~ rdn_digit_add(rdnn(X1),rdnn(n0),rdnn(X3),rdnn(n0))
      | ~ rdn_translate(X4,rdn_pos(rdnn(X0)))
      | ~ rdn_digit_add(rdnn(X5),rdnn(n0),rdnn(X6),rdnn(n0))
      | ~ rdn_translate(X2,rdn_pos(rdnn(X7)))
      | ~ rdn_translate(X4,rdn_pos(rdnn(X8)))
      | ~ rdn_digit_add(rdnn(X7),rdnn(X8),rdnn(X5),rdnn(n0))
      | ~ rdn_digit_add(rdnn(X0),rdnn(n0),rdnn(X1),rdnn(n0)) ),
    inference(resolution,[],[f1163,f893]) ).

fof(f1401,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ rdn_digit_add(rdnn(X5),rdnn(n0),rdnn(n8),rdnn(n0))
      | ~ rdn_digit_add(rdnn(X2),rdnn(n0),rdnn(X1),rdnn(n0))
      | ~ rdn_translate(X3,rdn_pos(rdnn(X4)))
      | ~ rdn_translate(X0,rdn_pos(rdnn(X1)))
      | ~ rdn_translate(X0,rdn_pos(rdnn(X6)))
      | ~ rdn_translate(X3,rdn_pos(rdnn(X7)))
      | ~ rdn_digit_add(rdnn(X6),rdnn(X7),rdnn(X5),rdnn(n0))
      | ~ rdn_digit_add(rdnn(X4),rdnn(n0),rdnn(X2),rdnn(n0)) ),
    inference(resolution,[],[f1171,f462]) ).

fof(f1409,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ rdn_digit_add(rdnn(X5),rdnn(X6),rdnn(n8),rdnn(n0))
      | ~ rdn_translate(X2,rdn_pos(rdnn(X3)))
      | ~ rdn_translate(X4,rdn_pos(rdnn(X1)))
      | ~ rdn_translate(X4,rdn_pos(rdnn(X5)))
      | ~ rdn_translate(X2,rdn_pos(rdnn(X6)))
      | ~ rdn_digit_add(rdnn(X0),rdnn(n0),rdnn(X1),rdnn(n0))
      | ~ rdn_digit_add(rdnn(X3),rdnn(n0),rdnn(X0),rdnn(n0)) ),
    inference(resolution,[],[f1401,f838]) ).

fof(f1491,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ rdn_translate(X2,rdn_pos(rdnn(n4)))
      | ~ rdn_translate(X2,rdn_pos(rdnn(X3)))
      | ~ rdn_translate(X0,rdn_pos(rdnn(X1)))
      | ~ rdn_translate(X0,rdn_pos(rdnn(n4)))
      | ~ rdn_digit_add(rdnn(X4),rdnn(n0),rdnn(X3),rdnn(n0))
      | ~ rdn_digit_add(rdnn(X1),rdnn(n0),rdnn(X4),rdnn(n0)) ),
    inference(resolution,[],[f1409,f802]) ).

fof(f1852,plain,
    ! [X2,X3,X0,X1] :
      ( ~ rdn_translate(n4,rdn_pos(rdnn(X0)))
      | ~ rdn_translate(X1,rdn_pos(rdnn(X2)))
      | ~ rdn_translate(X1,rdn_pos(rdnn(n4)))
      | ~ rdn_digit_add(rdnn(X3),rdnn(n0),rdnn(X0),rdnn(n0))
      | ~ rdn_digit_add(rdnn(X2),rdnn(n0),rdnn(X3),rdnn(n0)) ),
    inference(resolution,[],[f1491,f458]) ).

fof(f1900,plain,
    ! [X0,X1] :
      ( ~ rdn_translate(n4,rdn_pos(rdnn(n4)))
      | ~ rdn_translate(n4,rdn_pos(rdnn(X0)))
      | ~ rdn_digit_add(rdnn(X1),rdnn(n0),rdnn(n4),rdnn(n0))
      | ~ rdn_digit_add(rdnn(X0),rdnn(n0),rdnn(X1),rdnn(n0)) ),
    inference(factoring,[],[f1852]) ).

fof(f1901,plain,
    ! [X0,X1] :
      ( ~ rdn_digit_add(rdnn(X1),rdnn(n0),rdnn(n4),rdnn(n0))
      | ~ rdn_translate(n4,rdn_pos(rdnn(X0)))
      | ~ rdn_digit_add(rdnn(X0),rdnn(n0),rdnn(X1),rdnn(n0)) ),
    inference(forward_subsumption_resolution,[],[f1900,f458]) ).

fof(f1915,plain,
    ( ~ rdn_digit_add(rdnn(n4),rdnn(n0),rdnn(n4),rdnn(n0))
    | ~ rdn_translate(n4,rdn_pos(rdnn(n4))) ),
    inference(factoring,[],[f1901]) ).

fof(f1916,plain,
    ~ rdn_translate(n4,rdn_pos(rdnn(n4))),
    inference(forward_subsumption_resolution,[],[f1915,f798]) ).

fof(f1917,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f1916,f458]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : NUM342+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39  % Computer : n018.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 : Sun Sep 27 19:37:54 UTC 2026
% 0.12/0.39  % CPUTime  : 
% 0.12/0.39  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.43  Running first-order theorem proving
% 0.12/0.43  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.19/1.35  % (2680083)Detected formulas, will run a generic FOF schedule.
% 3.19/1.35  % (2680088)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=4057728682:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.19/1.35  % (2680089)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=133123916:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.19/1.35  % (2680090)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=2788634560:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.19/1.35  % (2680091)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1930836696:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.19/1.35  % (2680091)Refutation not found, incomplete strategy
% 3.19/1.35  % (2680091)------------------------------
% 3.19/1.35  % (2680091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.19/1.35  % (2680091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.19/1.35  % (2680091)CaDiCaL version: 2.1.3
% 3.19/1.35  % (2680091)Termination reason: Refutation not found, incomplete strategy
% 3.19/1.35  % (2680091)Time elapsed: 0.002 s
% 3.19/1.35  % (2680091)Peak memory usage: 88 MB
% 3.19/1.35  % (2680091)Instructions burned: 2 (million)
% 3.19/1.35  % (2680092)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3602488372:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.19/1.35  % (2680094)dis-21_1_sil=8000:lcm=predicate:random_seed=4045622569: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)
% 3.19/1.35  % (2680093)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4123326893:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.19/1.35  % (2680092)Refutation not found, incomplete strategy
% 3.19/1.35  % (2680092)------------------------------
% 3.19/1.35  % (2680092)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.19/1.35  % (2680092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.19/1.35  % (2680092)CaDiCaL version: 2.1.3
% 3.19/1.35  % (2680092)Termination reason: Refutation not found, incomplete strategy
% 3.19/1.35  % (2680092)Time elapsed: 0.003 s
% 3.19/1.35  % (2680092)Peak memory usage: 88 MB
% 3.19/1.35  % (2680092)Instructions burned: 4 (million)
% 3.19/1.35  % (2680093)First to succeed.
% 3.19/1.35  % (2680093)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2680083"
% 3.19/1.35  % (2680094)Instruction limit reached! 
% 3.19/1.35  % (2680094)------------------------------
% 3.19/1.35  % (2680094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.19/1.35  % (2680094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.19/1.35  % (2680094)CaDiCaL version: 2.1.3
% 3.19/1.35  % (2680094)Termination reason: Instruction limit
% 3.19/1.35  % (2680094)Termination phase: Saturation
% 3.19/1.35  % (2680094)Time elapsed: 0.067 s
% 3.19/1.35  % (2680094)Peak memory usage: 89 MB
% 3.19/1.35  % (2680094)Instructions burned: 129 (million)
% 3.19/1.35  % (2680102)lrs+10_1_sil=8000:sp=occurrence:random_seed=469324551:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.19/1.35  % (2680102)Refutation not found, incomplete strategy
% 3.19/1.35  % (2680102)------------------------------
% 3.19/1.35  % (2680102)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.19/1.35  % (2680102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.19/1.35  % (2680102)CaDiCaL version: 2.1.3
% 3.19/1.35  % (2680102)Termination reason: Refutation not found, incomplete strategy
% 3.19/1.35  % (2680102)Time elapsed: 0.002 s
% 3.19/1.35  % (2680102)Peak memory usage: 88 MB
% 3.19/1.35  % (2680102)Instructions burned: 2 (million)
% 3.19/1.35  % (2680091)------------------------------
% 3.19/1.35  % (2680091)------------------------------
% 3.19/1.35  % (2680092)------------------------------
% 3.19/1.35  % (2680092)------------------------------
% 3.19/1.35  % (2680093)Refutation found. Thanks to Tanya!
% 3.19/1.35  % SZS status Theorem for theBenchmark
% 3.19/1.35  % SZS output start Proof for theBenchmark
% See solution above
% 3.96/1.54  % (2680093)------------------------------
% 3.96/1.54  % (2680093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.96/1.54  % (2680093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/1.54  % (2680093)CaDiCaL version: 2.1.3
% 3.96/1.54  % (2680093)Termination reason: Refutation
% 3.96/1.54  % (2680093)Time elapsed: 0.066 s
% 3.96/1.54  % (2680093)Peak memory usage: 90 MB
% 3.96/1.54  % (2680093)Instructions burned: 110 (million)
% 3.96/1.54  % (2680093)------------------------------
% 3.96/1.54  % (2680093)------------------------------
% 3.96/1.54  % (2680083)Success in time 0.484 s
% 3.96/1.54  % Vampire exiting
%------------------------------------------------------------------------------