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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : LAT029-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n002.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 11:45:52 AM UTC 2026

% Result   : Unsatisfiable 0.14s 1.70s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   37
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   54 (  52 unt;   0 def)
%            Number of atoms       :   60 (  59 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   16 (  10   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   96 (  96   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] : join(meet(X0,X1),meet(X0,join(X0,X1))) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wal_absorbtion_1) ).

fof(f2,axiom,
    ! [X0,X1] : join(meet(X0,X0),meet(X1,join(X0,X0))) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wal_absorbtion_2) ).

fof(f3,axiom,
    ! [X0,X1] : join(meet(X0,X1),meet(X1,join(X0,X1))) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wal_absorbtion_3) ).

fof(f4,axiom,
    ! [X2,X0,X1] : meet(meet(join(X0,X1),join(X2,X0)),X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wal_absorbtion_4) ).

fof(f5,axiom,
    ! [X2,X0,X1] : join(join(meet(X0,X1),meet(X2,X0)),X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wal_absorbtion_5) ).

fof(f6,negated_conjecture,
    ( meet(a,a) != a
    | meet(b,a) != meet(a,b)
    | join(a,a) != a
    | join(b,a) != join(a,b) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_normal_axioms) ).

fof(f7,plain,
    ( join(b,a) != join(a,b)
    | meet(b,a) != meet(a,b)
    | a != join(a,a)
    | a != meet(a,a) ),
    inference(reorient_equations,[],[f6]) ).

fof(f8,plain,
    ! [X2,X3,X0,X1] : meet(join(X0,X1),join(X2,X0)) = join(join(X0,meet(X3,meet(join(X0,X1),join(X2,X0)))),meet(join(X0,X1),join(X2,X0))),
    inference(superposition,[],[f5,f4]) ).

fof(f9,plain,
    ! [X0,X1] : join(join(meet(X0,X1),X0),X0) = X0,
    inference(superposition,[],[f5,f4]) ).

fof(f10,plain,
    ! [X0,X1] : meet(meet(join(X0,X1),X0),X0) = X0,
    inference(superposition,[],[f4,f5]) ).

fof(f23,plain,
    ! [X2,X0,X1] : meet(X1,X0) = meet(meet(X0,join(X2,meet(X1,X0))),meet(X1,X0)),
    inference(superposition,[],[f4,f3]) ).

fof(f24,plain,
    ! [X0] : join(meet(X0,X0),join(X0,X0)) = X0,
    inference(superposition,[],[f2,f4]) ).

fof(f34,plain,
    ! [X0,X1] : meet(X0,X1) = meet(meet(X0,meet(X0,X1)),meet(X0,X1)),
    inference(superposition,[],[f10,f1]) ).

fof(f69,plain,
    ! [X2,X0] : meet(meet(X0,join(X2,X0)),X0) = X0,
    inference(superposition,[],[f23,f10]) ).

fof(f79,plain,
    ! [X0,X1] : meet(meet(meet(join(X0,X1),X0),X0),X0) = X0,
    inference(superposition,[],[f34,f10]) ).

fof(f93,plain,
    ! [X0] : meet(X0,X0) = X0,
    inference(forward_demodulation,[],[f79,f10]) ).

fof(f95,plain,
    ! [X0] : meet(join(X0,X0),X0) = X0,
    inference(superposition,[],[f4,f93]) ).

fof(f96,plain,
    ! [X0] : join(X0,join(X0,X0)) = X0,
    inference(superposition,[],[f24,f93]) ).

fof(f109,plain,
    ! [X0] : join(X0,X0) = join(meet(X0,join(X0,X0)),meet(join(X0,X0),X0)),
    inference(superposition,[],[f3,f96]) ).

fof(f110,plain,
    ! [X0] : join(meet(X0,join(X0,X0)),meet(X0,X0)) = X0,
    inference(superposition,[],[f1,f96]) ).

fof(f113,plain,
    ! [X0] : join(meet(X0,join(X0,X0)),X0) = X0,
    inference(forward_demodulation,[],[f110,f93]) ).

fof(f114,plain,
    ! [X0] : join(X0,X0) = join(meet(X0,join(X0,X0)),X0),
    inference(forward_demodulation,[],[f109,f95]) ).

fof(f116,plain,
    ! [X0] : join(X0,X0) = X0,
    inference(forward_demodulation,[],[f114,f113]) ).

fof(f119,plain,
    ! [X0,X1] : join(meet(X0,X0),meet(X1,X0)) = X0,
    inference(superposition,[],[f2,f116]) ).

fof(f132,plain,
    ! [X0,X1] : join(X0,meet(X1,X0)) = X0,
    inference(forward_demodulation,[],[f119,f93]) ).

fof(f140,plain,
    ! [X0,X1] : meet(X1,X0) = meet(meet(X0,X0),meet(X1,X0)),
    inference(superposition,[],[f23,f132]) ).

fof(f149,plain,
    ! [X0,X1] : meet(X1,X0) = meet(X0,meet(X1,X0)),
    inference(forward_demodulation,[],[f140,f93]) ).

fof(f158,plain,
    ! [X0,X1] : join(meet(X0,X1),meet(X1,join(X1,meet(X0,X1)))) = X1,
    inference(superposition,[],[f1,f149]) ).

fof(f168,plain,
    ! [X0,X1] : join(meet(X0,X1),meet(X1,X1)) = X1,
    inference(forward_demodulation,[],[f158,f132]) ).

fof(f169,plain,
    ! [X0,X1] : join(meet(X0,X1),X1) = X1,
    inference(forward_demodulation,[],[f168,f93]) ).

fof(f181,plain,
    ! [X0,X1] : meet(X1,X0) = join(meet(meet(X1,X0),X0),meet(meet(X1,X0),X0)),
    inference(superposition,[],[f1,f169]) ).

fof(f186,plain,
    ! [X0,X1] : meet(X1,X0) = meet(meet(X1,X0),X0),
    inference(forward_demodulation,[],[f181,f116]) ).

fof(f212,plain,
    ! [X0,X1] : meet(join(X0,X1),X0) = X0,
    inference(superposition,[],[f10,f186]) ).

fof(f231,plain,
    ! [X0,X1] : join(meet(X0,X1),X0) = meet(X0,join(meet(X0,X1),X0)),
    inference(superposition,[],[f212,f9]) ).

fof(f499,plain,
    ! [X0,X1] : meet(join(meet(X0,X1),X0),X0) = X0,
    inference(superposition,[],[f69,f231]) ).

fof(f760,plain,
    ! [X0,X1] : join(meet(X0,X1),X0) = join(X0,meet(join(meet(X0,X1),X0),join(join(meet(X0,X1),X0),X0))),
    inference(superposition,[],[f1,f499]) ).

fof(f788,plain,
    ! [X0,X1] : join(meet(X0,X1),X0) = join(X0,meet(join(meet(X0,X1),X0),X0)),
    inference(forward_demodulation,[],[f760,f9]) ).

fof(f798,plain,
    ! [X0,X1] : join(meet(X0,X1),X0) = X0,
    inference(forward_demodulation,[],[f788,f132]) ).

fof(f823,plain,
    ! [X0,X1] : meet(X0,X1) = join(meet(meet(X0,X1),X0),meet(meet(X0,X1),X0)),
    inference(superposition,[],[f1,f798]) ).

fof(f835,plain,
    ! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),X0),
    inference(forward_demodulation,[],[f823,f116]) ).

fof(f876,plain,
    ! [X0,X1] : join(X0,meet(X0,X1)) = X0,
    inference(superposition,[],[f132,f835]) ).

fof(f1183,plain,
    ! [X0,X1] : meet(X0,X1) = meet(meet(X1,X0),meet(X0,X1)),
    inference(superposition,[],[f23,f876]) ).

fof(f1286,plain,
    ! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),meet(X1,X0)),
    inference(superposition,[],[f835,f1183]) ).

fof(f1462,plain,
    ! [X0,X1] : meet(X0,X1) = meet(X1,X0),
    inference(superposition,[],[f1183,f1286]) ).

fof(f1528,plain,
    join(b,a) != join(a,b),
    inference(unit_resulting_resolution,[],[f7,f93,f116,f1462]) ).

fof(f1612,plain,
    ! [X2,X0,X1] : meet(meet(join(X0,X1),join(X1,X2)),X1) = X1,
    inference(superposition,[],[f4,f1462]) ).

fof(f1677,plain,
    ! [X2,X0,X1] : meet(X1,meet(join(X0,X1),join(X1,X2))) = X1,
    inference(forward_demodulation,[],[f1612,f1462]) ).

fof(f6983,plain,
    ! [X0,X1] : meet(join(X1,X0),join(X0,X1)) = join(join(X1,X0),meet(join(X1,X0),join(X0,X1))),
    inference(superposition,[],[f8,f1677]) ).

fof(f7169,plain,
    ! [X0,X1] : join(X1,X0) = meet(join(X1,X0),join(X0,X1)),
    inference(forward_demodulation,[],[f6983,f876]) ).

fof(f7314,plain,
    ! [X0,X1] : join(X1,X0) = join(join(X1,X0),join(X0,X1)),
    inference(superposition,[],[f132,f7169]) ).

fof(f7319,plain,
    ! [X0,X1] : join(X1,X0) = join(join(X0,X1),join(X1,X0)),
    inference(superposition,[],[f169,f7169]) ).

fof(f7817,plain,
    ! [X0,X1] : join(X0,X1) = join(X1,X0),
    inference(superposition,[],[f7314,f7319]) ).

fof(f8224,plain,
    join(a,b) != join(a,b),
    inference(superposition,[],[f1528,f7817]) ).

fof(f8227,plain,
    $false,
    inference(trivial_inequality_removal,[],[f8224]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : LAT029-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37  % Computer : n002.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Sun Sep 27 14:00:07 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.39  Running first-order theorem proving
% 0.10/0.39  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
% 4.50/1.61  % (3544971)Input is clausal, will run a generic CNF schedule.
% 4.50/1.61  % (3545024)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4271548550:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.50/1.61  % (3545023)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=667895868:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.50/1.61  % (3545028)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3358151132:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.50/1.61  % (3545029)dis-21_1_sil=8000:lcm=predicate:random_seed=1421309948:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 4.50/1.61  % (3545026)lrs+10_1_sil=8000:sp=occurrence:random_seed=377267942:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.50/1.61  % (3545025)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2182868443:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.50/1.61  % (3545027)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=166793926:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.50/1.61  % (3545029)Refutation not found, incomplete strategy
% 4.50/1.61  % (3545029)------------------------------
% 4.50/1.61  % (3545029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.50/1.61  % (3545029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.50/1.61  % (3545029)CaDiCaL version: 2.1.3
% 4.50/1.61  % (3545029)Termination reason: Refutation not found, incomplete strategy
% 4.50/1.61  % (3545029)Time elapsed: 0.001 s
% 4.50/1.61  % (3545029)Peak memory usage: 88 MB
% 4.50/1.61  % (3545026)Instruction limit reached! 
% 4.50/1.61  % (3545026)------------------------------
% 4.50/1.61  % (3545026)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.50/1.61  % (3545026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.50/1.61  % (3545026)CaDiCaL version: 2.1.3
% 4.50/1.61  % (3545026)Termination reason: Instruction limit
% 4.50/1.61  % (3545026)Termination phase: Saturation
% 4.50/1.61  % (3545026)Time elapsed: 0.066 s
% 4.50/1.61  % (3545026)Peak memory usage: 89 MB
% 4.50/1.61  % (3545026)Instructions burned: 107 (million)
% 4.50/1.61  % (3545027)Instruction limit reached! 
% 4.50/1.61  % (3545027)------------------------------
% 4.50/1.61  % (3545027)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.50/1.61  % (3545027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.50/1.61  % (3545027)CaDiCaL version: 2.1.3
% 4.50/1.61  % (3545027)Termination reason: Instruction limit
% 4.50/1.61  % (3545027)Termination phase: Saturation
% 4.50/1.61  % (3545027)Time elapsed: 0.071 s
% 4.50/1.61  % (3545027)Peak memory usage: 89 MB
% 4.50/1.61  % (3545027)Instructions burned: 114 (million)
% 4.50/1.61  % (3545028)Instruction limit reached! 
% 4.50/1.61  % (3545028)------------------------------
% 4.50/1.61  % (3545028)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.50/1.61  % (3545028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.50/1.61  % (3545028)CaDiCaL version: 2.1.3
% 4.50/1.61  % (3545028)Termination reason: Instruction limit
% 4.50/1.61  % (3545028)Termination phase: Saturation
% 4.50/1.61  % (3545028)Time elapsed: 0.114 s
% 4.50/1.61  % (3545028)Peak memory usage: 90 MB
% 4.50/1.61  % (3545028)Instructions burned: 181 (million)
% 4.50/1.61  % (3545038)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3239075128:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 4.50/1.61  % (3545038)Refutation not found, incomplete strategy
% 4.50/1.61  % (3545038)------------------------------
% 4.50/1.61  % (3545038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.50/1.61  % (3545038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.50/1.61  % (3545038)CaDiCaL version: 2.1.3
% 4.50/1.61  % (3545038)Termination reason: Refutation not found, incomplete strategy
% 4.50/1.61  % (3545038)Time elapsed: 0.001 s
% 4.50/1.61  % (3545038)Peak memory usage: 88 MB
% 4.50/1.61  % (3545037)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2749545120:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 0.14/1.70  % (3545037)Refutation not found, incomplete strategy
% 0.14/1.70  % (3545037)------------------------------
% 0.14/1.70  % (3545037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.14/1.70  % (3545037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/1.70  % (3545037)CaDiCaL version: 2.1.3
% 0.14/1.70  % (3545037)Termination reason: Refutation not found, incomplete strategy
% 0.14/1.70  % (3545037)Time elapsed: 0.001 s
% 0.14/1.70  % (3545037)Peak memory usage: 88 MB
% 0.14/1.70  % (3545039)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2352062003:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 0.14/1.70  % (3545039)Refutation not found, incomplete strategy
% 0.14/1.70  % (3545039)------------------------------
% 0.14/1.70  % (3545039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.14/1.70  % (3545039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/1.70  % (3545039)CaDiCaL version: 2.1.3
% 0.14/1.70  % (3545029)------------------------------
% 0.14/1.70  % (3545029)------------------------------
% 0.14/1.70  % (3545039)Termination reason: Refutation not found, incomplete strategy
% 0.14/1.70  % (3545039)Time elapsed: 0.001 s
% 0.14/1.70  % (3545039)Peak memory usage: 88 MB
% 0.14/1.70  % (3545043)lrs+10_64_to=lpo:sil=8000:random_seed=1446061484:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 0.14/1.70  % (3545038)------------------------------
% 0.14/1.70  % (3545038)------------------------------
% 0.14/1.70  % (3545037)------------------------------
% 0.14/1.70  % (3545037)------------------------------
% 0.14/1.70  % (3545024)First to succeed.
% 0.14/1.70  % (3545024)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3544971"
% 0.14/1.70  % (3545043)Instruction limit reached! 
% 0.14/1.70  % (3545043)------------------------------
% 0.14/1.70  % (3545043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.14/1.70  % (3545043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/1.70  % (3545043)CaDiCaL version: 2.1.3
% 0.14/1.70  % (3545043)Termination reason: Instruction limit
% 0.14/1.70  % (3545043)Termination phase: Saturation
% 0.14/1.70  % (3545043)Time elapsed: 0.079 s
% 0.14/1.70  % (3545043)Peak memory usage: 89 MB
% 0.14/1.70  % (3545043)Instructions burned: 127 (million)
% 0.14/1.70  % (3545039)------------------------------
% 0.14/1.70  % (3545039)------------------------------
% 0.14/1.70  % (3545045)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3585934841:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 0.14/1.70  % (3545046)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1835962114:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 0.14/1.70  % (3545047)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3825411938:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 0.14/1.70  % (3545048)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=3060843400:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 0.14/1.70  % (3545024)Refutation found. Thanks to Tanya!
% 0.14/1.70  % SZS status Unsatisfiable for theBenchmark
% 0.14/1.70  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/1.70  % (3545024)------------------------------
% 0.14/1.70  % (3545024)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.14/1.70  % (3545024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/1.70  % (3545024)CaDiCaL version: 2.1.3
% 0.14/1.70  % (3545024)Termination reason: Refutation
% 0.14/1.70  % (3545024)Time elapsed: 0.520 s
% 0.14/1.70  % (3545024)Peak memory usage: 131 MB
% 0.14/1.70  % (3545024)Instructions burned: 1300 (million)
% 0.14/1.70  % (3545024)------------------------------
% 0.14/1.70  % (3545024)------------------------------
% 0.14/1.70  % (3544971)Success in time 0.786 s
% 0.14/1.70  % Vampire exiting
%------------------------------------------------------------------------------