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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SET261-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n019.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 12:40:38 PM UTC 2026

% Result   : Unsatisfiable 8.06s 1.91s
% Output   : Refutation 8.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   29 (  13 unt;   1 def)
%            Number of atoms       :   47 (  23 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   35 (  17   ~;  18   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   3 con; 0-3 aty)
%            Number of variables   :   35 (  35   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X0,X1] :
      ( member(not_subclass_element(X0,X1),X0)
      | subclass(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( ~ member(not_subclass_element(X0,X1),X1)
      | subclass(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members2) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ~ subclass(X1,X0)
      | ~ subclass(X0,X1)
      | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).

fof(f12,axiom,
    ! [X0] : unordered_pair(X0,X0) = singleton(X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_set) ).

fof(f21,axiom,
    ! [X2,X0,X1] :
      ( ~ member(X0,intersection(X1,X2))
      | member(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).

fof(f28,axiom,
    ! [X2,X0,X1] : intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',restriction1) ).

fof(f30,axiom,
    ! [X0,X1] :
      ( restrict(X0,singleton(X1),universal_class) != null_class
      | ~ member(X1,domain_of(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain1) ).

fof(f67,axiom,
    ! [X0] :
      ( X0 = null_class
      | member(regular(X0),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity1) ).

fof(f68,plain,
    ! [X0] :
      ( member(regular(X0),X0)
      | null_class = X0 ),
    inference(reorient_equations,[],[f67]) ).

fof(f69,axiom,
    ! [X0] :
      ( X0 = null_class
      | intersection(X0,regular(X0)) = null_class ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity2) ).

fof(f70,plain,
    ! [X0] :
      ( null_class = intersection(X0,regular(X0))
      | null_class = X0 ),
    inference(reorient_equations,[],[f69]) ).

fof(f122,negated_conjecture,
    domain_of(null_class) != null_class,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_domain_of_null_class_1) ).

fof(f123,plain,
    null_class != domain_of(null_class),
    inference(reorient_equations,[],[f122]) ).

fof(f144,plain,
    ! [X0,X1] :
      ( null_class != intersection(X0,cross_product(unordered_pair(X1,X1),universal_class))
      | ~ member(X1,domain_of(X0)) ),
    inference(definition_unfolding,[],[f30,f28,f12]) ).

fof(f190,definition,
    sF0 = domain_of(null_class),
    introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).

fof(f191,plain,
    domain_of(null_class) = sF0,
    inference(reorient_equations,[],[f190]) ).

fof(f192,plain,
    null_class != sF0,
    inference(definition_folding,[],[f123,f191]) ).

fof(f200,plain,
    ! [X2,X0,X1] :
      ( member(not_subclass_element(intersection(X0,X1),X2),X0)
      | subclass(intersection(X0,X1),X2) ),
    inference(resolution,[],[f21,f2]) ).

fof(f212,plain,
    ! [X0,X1] :
      ( subclass(intersection(X0,X1),X0)
      | subclass(intersection(X0,X1),X0) ),
    inference(resolution,[],[f200,f3]) ).

fof(f217,plain,
    ! [X0,X1] : subclass(intersection(X0,X1),X0),
    inference(duplicate_literal_removal,[],[f212]) ).

fof(f225,plain,
    ! [X0] :
      ( subclass(null_class,X0)
      | null_class = X0 ),
    inference(superposition,[],[f217,f70]) ).

fof(f226,plain,
    ! [X0] :
      ( null_class = X0
      | ~ subclass(X0,null_class)
      | null_class = X0 ),
    inference(resolution,[],[f225,f7]) ).

fof(f227,plain,
    ! [X0] :
      ( ~ subclass(X0,null_class)
      | null_class = X0 ),
    inference(duplicate_literal_removal,[],[f226]) ).

fof(f228,plain,
    ! [X0] : null_class = intersection(null_class,X0),
    inference(resolution,[],[f227,f217]) ).

fof(f231,plain,
    ! [X0] :
      ( null_class != null_class
      | ~ member(X0,domain_of(null_class)) ),
    inference(superposition,[],[f144,f228]) ).

fof(f237,plain,
    ! [X0] : ~ member(X0,domain_of(null_class)),
    inference(trivial_inequality_removal,[],[f231]) ).

fof(f238,plain,
    ! [X0] : ~ member(X0,sF0),
    inference(forward_demodulation,[],[f237,f191]) ).

fof(f239,plain,
    null_class = sF0,
    inference(resolution,[],[f238,f68]) ).

fof(f245,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f239,f192]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET261-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38  % Computer : n019.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 01:14:33 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
% 0.11/0.42  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
% 5.69/1.70  % (3569374)Input is clausal, will run a generic CNF schedule.
% 5.69/1.70  % (3569384)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3584245091:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.69/1.70  % (3569382)lrs+10_1_sil=8000:sp=occurrence:random_seed=2783260874:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.69/1.70  % (3569381)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1123777830:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.69/1.70  % (3569380)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1376581976:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.69/1.70  % (3569383)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3868567497:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.69/1.70  % (3569385)dis-21_1_sil=8000:lcm=predicate:random_seed=2343188838: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)
% 5.69/1.70  % (3569379)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=1511204223:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.69/1.70  % (3569382)Refutation not found, incomplete strategy
% 5.69/1.70  % (3569382)------------------------------
% 5.69/1.70  % (3569382)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.69/1.70  % (3569382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.69/1.70  % (3569382)CaDiCaL version: 2.1.3
% 5.69/1.70  % (3569382)Termination reason: Refutation not found, incomplete strategy
% 5.69/1.70  % (3569382)Time elapsed: 0.001 s
% 5.69/1.70  % (3569382)Peak memory usage: 87 MB
% 5.69/1.70  % (3569383)Instruction limit reached! 
% 5.69/1.70  % (3569383)------------------------------
% 5.69/1.70  % (3569383)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.69/1.70  % (3569383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.69/1.70  % (3569383)CaDiCaL version: 2.1.3
% 5.69/1.70  % (3569383)Termination reason: Instruction limit
% 5.69/1.70  % (3569383)Termination phase: Saturation
% 5.69/1.70  % (3569383)Time elapsed: 0.067 s
% 5.69/1.70  % (3569383)Peak memory usage: 89 MB
% 5.69/1.70  % (3569383)Instructions burned: 115 (million)
% 5.69/1.70  % (3569384)Instruction limit reached! 
% 5.69/1.70  % (3569384)------------------------------
% 5.69/1.70  % (3569384)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.69/1.70  % (3569384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.69/1.70  % (3569384)CaDiCaL version: 2.1.3
% 5.69/1.70  % (3569384)Termination reason: Instruction limit
% 5.69/1.70  % (3569384)Termination phase: Saturation
% 5.69/1.70  % (3569384)Time elapsed: 0.072 s
% 5.69/1.70  % (3569384)Peak memory usage: 91 MB
% 5.69/1.70  % (3569384)Instructions burned: 183 (million)
% 5.69/1.70  % (3569385)Instruction limit reached! 
% 5.69/1.70  % (3569385)------------------------------
% 5.69/1.70  % (3569385)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.69/1.70  % (3569385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.69/1.70  % (3569385)CaDiCaL version: 2.1.3
% 5.69/1.70  % (3569385)Termination reason: Instruction limit
% 5.69/1.70  % (3569385)Termination phase: Saturation
% 5.69/1.70  % (3569385)Time elapsed: 0.070 s
% 5.69/1.70  % (3569385)Peak memory usage: 89 MB
% 5.69/1.70  % (3569385)Instructions burned: 117 (million)
% 5.69/1.70  % (3569395)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=25417890:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.69/1.70  % (3569394)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3293080917: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)
% 5.69/1.70  % (3569393)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=4252399508:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 5.69/1.70  % (3569393)Refutation not found, incomplete strategy
% 5.69/1.70  % (3569393)------------------------------
% 5.69/1.70  % (3569393)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.69/1.70  % (3569393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.06/1.91  % (3569393)CaDiCaL version: 2.1.3
% 8.06/1.91  % (3569393)Termination reason: Refutation not found, incomplete strategy
% 8.06/1.91  % (3569393)Time elapsed: 0.003 s
% 8.06/1.91  % (3569393)Peak memory usage: 88 MB
% 8.06/1.91  % (3569393)Instructions burned: 2 (million)
% 8.06/1.91  % (3569382)------------------------------
% 8.06/1.91  % (3569382)------------------------------
% 8.06/1.91  % (3569395)Instruction limit reached! 
% 8.06/1.91  % (3569395)------------------------------
% 8.06/1.91  % (3569395)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.06/1.91  % (3569395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.06/1.91  % (3569395)CaDiCaL version: 2.1.3
% 8.06/1.91  % (3569395)Termination reason: Instruction limit
% 8.06/1.91  % (3569395)Termination phase: Saturation
% 8.06/1.91  % (3569395)Time elapsed: 0.066 s
% 8.06/1.91  % (3569395)Peak memory usage: 89 MB
% 8.06/1.91  % (3569395)Instructions burned: 220 (million)
% 8.06/1.91  % (3569394)Instruction limit reached! 
% 8.06/1.91  % (3569394)------------------------------
% 8.06/1.91  % (3569394)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.06/1.91  % (3569394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.06/1.91  % (3569394)CaDiCaL version: 2.1.3
% 8.06/1.91  % (3569394)Termination reason: Instruction limit
% 8.06/1.91  % (3569394)Termination phase: Saturation
% 8.06/1.91  % (3569394)Time elapsed: 0.112 s
% 8.06/1.91  % (3569394)Peak memory usage: 91 MB
% 8.06/1.91  % (3569394)Instructions burned: 190 (million)
% 8.06/1.91  % (3569399)lrs+10_64_to=lpo:sil=8000:random_seed=2150492606:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 8.06/1.91  % (3569400)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1113862194:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 8.06/1.91  % (3569399)Instruction limit reached! 
% 8.06/1.91  % (3569399)------------------------------
% 8.06/1.91  % (3569399)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.06/1.91  % (3569399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.06/1.91  % (3569399)CaDiCaL version: 2.1.3
% 8.06/1.91  % (3569399)Termination reason: Instruction limit
% 8.06/1.91  % (3569399)Termination phase: Saturation
% 8.06/1.91  % (3569399)Time elapsed: 0.043 s
% 8.06/1.91  % (3569399)Peak memory usage: 89 MB
% 8.06/1.91  % (3569399)Instructions burned: 127 (million)
% 8.06/1.91  % (3569393)------------------------------
% 8.06/1.91  % (3569393)------------------------------
% 8.06/1.91  % (3569401)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1923856028:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 8.06/1.91  % (3569400)Instruction limit reached! 
% 8.06/1.91  % (3569400)------------------------------
% 8.06/1.91  % (3569400)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.06/1.91  % (3569400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.06/1.91  % (3569400)CaDiCaL version: 2.1.3
% 8.06/1.91  % (3569400)Termination reason: Instruction limit
% 8.06/1.91  % (3569400)Termination phase: Saturation
% 8.06/1.91  % (3569400)Time elapsed: 0.123 s
% 8.06/1.91  % (3569400)Peak memory usage: 89 MB
% 8.06/1.91  % (3569400)Instructions burned: 194 (million)
% 8.06/1.91  % (3569404)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2952488440:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 8.06/1.91  % (3569401)Instruction limit reached! 
% 8.06/1.91  % (3569401)------------------------------
% 8.06/1.91  % (3569401)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.06/1.91  % (3569401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.06/1.91  % (3569401)CaDiCaL version: 2.1.3
% 8.06/1.91  % (3569401)Termination reason: Instruction limit
% 8.06/1.91  % (3569401)Termination phase: Saturation
% 8.06/1.91  % (3569401)Time elapsed: 0.106 s
% 8.06/1.91  % (3569401)Peak memory usage: 91 MB
% 8.06/1.91  % (3569401)Instructions burned: 158 (million)
% 8.06/1.91  % (3569405)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=3027973971:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 8.06/1.91  % (3569379)First to succeed.
% 8.06/1.91  % (3569379)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3569374"
% 8.06/1.91  % (3569381)Also succeeded, but the first one will report.
% 8.06/1.91  % (3569380)Also succeeded, but the first one will report.
% 8.06/1.91  % (3569407)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2484626571:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 8.06/1.91  % (3569407)Refutation not found, incomplete strategy
% 8.06/1.91  % (3569407)------------------------------
% 8.06/1.91  % (3569407)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.06/1.91  % (3569407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.06/1.91  % (3569407)CaDiCaL version: 2.1.3
% 8.06/1.91  % (3569407)Termination reason: Refutation not found, incomplete strategy
% 8.06/1.91  % (3569407)Time elapsed: 0.005 s
% 8.06/1.91  % (3569407)Peak memory usage: 88 MB
% 8.06/1.91  % (3569407)Instructions burned: 8 (million)
% 8.06/1.91  % (3569405)Instruction limit reached! 
% 8.06/1.91  % (3569405)------------------------------
% 8.06/1.91  % (3569405)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.06/1.91  % (3569405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.06/1.91  % (3569405)CaDiCaL version: 2.1.3
% 8.06/1.91  % (3569405)Termination reason: Instruction limit
% 8.06/1.91  % (3569405)Termination phase: Saturation
% 8.06/1.91  % (3569405)Time elapsed: 0.065 s
% 8.06/1.91  % (3569405)Peak memory usage: 90 MB
% 8.06/1.91  % (3569405)Instructions burned: 106 (million)
% 8.06/1.91  % (3569409)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=4278370510:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 8.06/1.91  % (3569412)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2630936937:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 8.06/1.91  % (3569379)Refutation found. Thanks to Tanya!
% 8.06/1.91  % SZS status Unsatisfiable for theBenchmark
% 8.06/1.91  % SZS output start Proof for theBenchmark
% See solution above
% 8.06/1.92  % (3569379)------------------------------
% 8.06/1.92  % (3569379)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.06/1.92  % (3569379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.06/1.92  % (3569379)CaDiCaL version: 2.1.3
% 8.06/1.92  % (3569379)Termination reason: Refutation
% 8.06/1.92  % (3569379)Time elapsed: 0.651 s
% 8.06/1.92  % (3569379)Peak memory usage: 128 MB
% 8.06/1.92  % (3569379)Instructions burned: 976 (million)
% 8.06/1.92  % (3569379)------------------------------
% 8.06/1.92  % (3569379)------------------------------
% 8.06/1.92  % (3569374)Success in time 1.082 s
% 8.06/1.92  % Vampire exiting
%------------------------------------------------------------------------------