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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : COL006-2 : TPTP v9.3.1. Released v1.0.0.
% 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 09:37:36 AM UTC 2026

% Result   : Unsatisfiable 5.67s 1.56s
% Output   : Refutation 5.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   67 (  65 unt;  15 def)
%            Number of atoms       :   69 (  63 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   4   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;  18 con; 0-2 aty)
%            Number of variables   :   56 (  56   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X2,X0,X1] : apply(apply(apply(s,X0),X1),X2) = apply(apply(X0,X2),apply(X1,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s_definition) ).

fof(f2,axiom,
    ! [X0,X1] : apply(apply(k,X0),X1) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',k_definition) ).

fof(f3,axiom,
    ! [X0] :
      ( apply(X0,fixed_pt) != apply(fixed_pt,apply(X0,fixed_pt))
      | fixed_point(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',strong_fixed_point) ).

fof(f4,negated_conjecture,
    ~ fixed_point(apply(apply(s,apply(k,apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)))),apply(apply(s,apply(k,apply(apply(s,s),apply(s,k)))),apply(apply(s,apply(k,s)),k)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_strong_fixed_point) ).

fof(f5,definition,
    sF0 = apply(s,k),
    introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).

fof(f6,plain,
    apply(s,k) = sF0,
    inference(reorient_equations,[],[f5]) ).

fof(f7,definition,
    sF1 = apply(sF0,k),
    introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).

fof(f8,plain,
    apply(sF0,k) = sF1,
    inference(reorient_equations,[],[f7]) ).

fof(f9,definition,
    sF2 = apply(s,sF1),
    introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).

fof(f10,plain,
    apply(s,sF1) = sF2,
    inference(reorient_equations,[],[f9]) ).

fof(f11,definition,
    sF3 = apply(sF2,sF1),
    introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).

fof(f12,plain,
    apply(sF2,sF1) = sF3,
    inference(reorient_equations,[],[f11]) ).

fof(f13,definition,
    sF4 = apply(k,sF3),
    introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).

fof(f14,plain,
    apply(k,sF3) = sF4,
    inference(reorient_equations,[],[f13]) ).

fof(f15,definition,
    sF5 = apply(s,sF4),
    introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).

fof(f16,plain,
    apply(s,sF4) = sF5,
    inference(reorient_equations,[],[f15]) ).

fof(f17,definition,
    sF6 = apply(s,s),
    introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).

fof(f18,plain,
    apply(s,s) = sF6,
    inference(reorient_equations,[],[f17]) ).

fof(f19,definition,
    sF7 = apply(sF6,sF0),
    introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).

fof(f20,plain,
    apply(sF6,sF0) = sF7,
    inference(reorient_equations,[],[f19]) ).

fof(f21,definition,
    sF8 = apply(k,sF7),
    introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).

fof(f22,plain,
    apply(k,sF7) = sF8,
    inference(reorient_equations,[],[f21]) ).

fof(f23,definition,
    sF9 = apply(s,sF8),
    introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).

fof(f24,plain,
    apply(s,sF8) = sF9,
    inference(reorient_equations,[],[f23]) ).

fof(f25,definition,
    sF10 = apply(k,s),
    introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).

fof(f26,plain,
    apply(k,s) = sF10,
    inference(reorient_equations,[],[f25]) ).

fof(f27,definition,
    sF11 = apply(s,sF10),
    introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).

fof(f28,plain,
    apply(s,sF10) = sF11,
    inference(reorient_equations,[],[f27]) ).

fof(f29,definition,
    sF12 = apply(sF11,k),
    introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).

fof(f30,plain,
    apply(sF11,k) = sF12,
    inference(reorient_equations,[],[f29]) ).

fof(f31,definition,
    sF13 = apply(sF9,sF12),
    introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).

fof(f32,plain,
    apply(sF9,sF12) = sF13,
    inference(reorient_equations,[],[f31]) ).

fof(f33,definition,
    sF14 = apply(sF5,sF13),
    introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).

fof(f34,plain,
    apply(sF5,sF13) = sF14,
    inference(reorient_equations,[],[f33]) ).

fof(f35,plain,
    ~ fixed_point(sF14),
    inference(definition_folding,[],[f4,f34,f32,f30,f28,f26,f24,f22,f20,f6,f18,f16,f14,f12,f8,f6,f10,f8,f6]) ).

fof(f36,plain,
    ! [X0] : s = apply(sF10,X0),
    inference(superposition,[],[f2,f26]) ).

fof(f37,plain,
    ! [X0] : sF7 = apply(sF8,X0),
    inference(superposition,[],[f2,f22]) ).

fof(f38,plain,
    ! [X0] : sF3 = apply(sF4,X0),
    inference(superposition,[],[f2,f14]) ).

fof(f43,plain,
    ! [X0,X1] : apply(apply(sF4,X1),apply(X0,X1)) = apply(apply(sF5,X0),X1),
    inference(superposition,[],[f1,f16]) ).

fof(f44,plain,
    ! [X0,X1] : apply(apply(sF8,X1),apply(X0,X1)) = apply(apply(sF9,X0),X1),
    inference(superposition,[],[f1,f24]) ).

fof(f45,plain,
    ! [X0,X1] : apply(apply(sF10,X1),apply(X0,X1)) = apply(apply(sF11,X0),X1),
    inference(superposition,[],[f1,f28]) ).

fof(f46,plain,
    ! [X2,X0,X1] : apply(apply(X1,X2),apply(apply(X0,X1),X2)) = apply(apply(apply(apply(s,s),X0),X1),X2),
    inference(superposition,[],[f1,f1]) ).

fof(f48,plain,
    ! [X2,X0,X1] : apply(X0,apply(X1,X2)) = apply(apply(apply(s,apply(k,X0)),X1),X2),
    inference(superposition,[],[f1,f2]) ).

fof(f56,plain,
    ! [X0,X1] : apply(apply(apply(s,k),X0),X1) = X1,
    inference(superposition,[],[f2,f1]) ).

fof(f57,plain,
    ! [X0,X1] : apply(apply(sF0,X0),X1) = X1,
    inference(forward_demodulation,[],[f56,f6]) ).

fof(f59,plain,
    ! [X2,X0,X1] : apply(apply(X1,X2),apply(apply(X0,X1),X2)) = apply(apply(apply(sF6,X0),X1),X2),
    inference(forward_demodulation,[],[f46,f18]) ).

fof(f60,plain,
    ! [X0,X1] : apply(apply(sF11,X0),X1) = apply(s,apply(X0,X1)),
    inference(forward_demodulation,[],[f45,f36]) ).

fof(f61,plain,
    ! [X0,X1] : apply(apply(sF9,X0),X1) = apply(sF7,apply(X0,X1)),
    inference(forward_demodulation,[],[f44,f37]) ).

fof(f62,plain,
    ! [X0,X1] : apply(apply(sF5,X0),X1) = apply(sF3,apply(X0,X1)),
    inference(forward_demodulation,[],[f43,f38]) ).

fof(f64,plain,
    ! [X0] : apply(s,apply(k,X0)) = apply(sF12,X0),
    inference(superposition,[],[f60,f30]) ).

fof(f70,plain,
    ! [X0] : apply(sF1,X0) = X0,
    inference(superposition,[],[f57,f8]) ).

fof(f84,plain,
    ! [X0] : apply(sF3,apply(sF13,X0)) = apply(sF14,X0),
    inference(superposition,[],[f62,f34]) ).

fof(f115,plain,
    ! [X0] : apply(sF13,X0) = apply(sF7,apply(sF12,X0)),
    inference(superposition,[],[f61,f32]) ).

fof(f118,plain,
    ! [X0,X1] : apply(X0,apply(X1,X0)) = apply(apply(apply(s,sF1),X1),X0),
    inference(superposition,[],[f1,f70]) ).

fof(f119,plain,
    ! [X0,X1] : apply(apply(sF2,X1),X0) = apply(X0,apply(X1,X0)),
    inference(forward_demodulation,[],[f118,f10]) ).

fof(f131,plain,
    ! [X0] : apply(apply(sF2,sF1),X0) = apply(X0,X0),
    inference(superposition,[],[f119,f70]) ).

fof(f154,plain,
    ! [X0] : apply(sF3,X0) = apply(X0,X0),
    inference(forward_demodulation,[],[f131,f12]) ).

fof(f263,plain,
    ! [X0,X1] : apply(apply(X1,X0),X0) = apply(apply(apply(sF6,sF0),X1),X0),
    inference(superposition,[],[f59,f57]) ).

fof(f301,plain,
    ! [X0,X1] : apply(apply(X1,X0),X0) = apply(apply(sF7,X1),X0),
    inference(forward_demodulation,[],[f263,f20]) ).

fof(f391,plain,
    ! [X0,X1] : apply(X0,apply(X1,X1)) = apply(apply(sF7,apply(s,apply(k,X0))),X1),
    inference(superposition,[],[f48,f301]) ).

fof(f408,plain,
    ! [X0,X1] : apply(X0,apply(X1,X1)) = apply(apply(sF7,apply(sF12,X0)),X1),
    inference(forward_demodulation,[],[f391,f64]) ).

fof(f419,plain,
    ! [X0,X1] : apply(X0,apply(X1,X1)) = apply(apply(sF13,X0),X1),
    inference(forward_demodulation,[],[f408,f115]) ).

fof(f445,plain,
    ! [X0] : apply(sF3,apply(sF13,X0)) = apply(X0,apply(sF3,apply(sF13,X0))),
    inference(superposition,[],[f419,f154]) ).

fof(f489,plain,
    ! [X0] : apply(sF14,X0) = apply(X0,apply(sF14,X0)),
    inference(forward_demodulation,[],[f445,f84]) ).

fof(f530,plain,
    ( apply(sF14,fixed_pt) != apply(sF14,fixed_pt)
    | fixed_point(sF14) ),
    inference(superposition,[],[f3,f489]) ).

fof(f537,plain,
    fixed_point(sF14),
    inference(trivial_inequality_removal,[],[f530]) ).

fof(f538,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f537,f35]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : COL006-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.17  % Computer : n011.cluster.edu
% 0.07/0.17  % Model    : x86_64 x86_64
% 0.07/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17  % Memory   : 8046.5625MB
% 0.07/0.17  % OS       : Linux 6.8.0-71-generic
% 0.07/0.17  % CPULimit : 300
% 0.07/0.17  % WCLimit  : 300
% 0.07/0.17  % DateTime : Mon Sep 28 21:29:31 UTC 2026
% 0.07/0.18  % CPUTime  : 
% 0.07/0.18  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.21  Running first-order theorem proving
% 0.07/0.21  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
% 4.81/1.37  % (3801695)Input is clausal, will run a generic CNF schedule.
% 4.81/1.37  % (3801700)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=191570178:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.81/1.37  % (3801706)dis-21_1_sil=8000:lcm=predicate:random_seed=3301600265: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)
% 4.81/1.37  % (3801704)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=394422154:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.81/1.37  % (3801701)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1176288861:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.81/1.37  % (3801703)lrs+10_1_sil=8000:sp=occurrence:random_seed=2801878145:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.81/1.37  % (3801702)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3586477593:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.81/1.37  % (3801705)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3213945139:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.81/1.37  % (3801706)Refutation not found, incomplete strategy
% 4.81/1.37  % (3801706)------------------------------
% 4.81/1.37  % (3801706)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.81/1.37  % (3801706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.37  % (3801706)CaDiCaL version: 2.1.3
% 4.81/1.37  % (3801706)Termination reason: Refutation not found, incomplete strategy
% 4.81/1.37  % (3801706)Time elapsed: 0.001 s
% 4.81/1.37  % (3801706)Peak memory usage: 88 MB
% 4.81/1.37  % (3801703)Instruction limit reached! 
% 4.81/1.37  % (3801703)------------------------------
% 4.81/1.37  % (3801703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.81/1.37  % (3801703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.37  % (3801703)CaDiCaL version: 2.1.3
% 4.81/1.37  % (3801703)Termination reason: Instruction limit
% 4.81/1.37  % (3801703)Termination phase: Saturation
% 4.81/1.37  % (3801703)Time elapsed: 0.069 s
% 4.81/1.37  % (3801703)Peak memory usage: 89 MB
% 4.81/1.37  % (3801703)Instructions burned: 108 (million)
% 4.81/1.37  % (3801704)Instruction limit reached! 
% 4.81/1.37  % (3801704)------------------------------
% 4.81/1.37  % (3801704)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.81/1.37  % (3801704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.37  % (3801704)CaDiCaL version: 2.1.3
% 4.81/1.37  % (3801704)Termination reason: Instruction limit
% 4.81/1.37  % (3801704)Termination phase: Saturation
% 4.81/1.37  % (3801704)Time elapsed: 0.071 s
% 4.81/1.37  % (3801704)Peak memory usage: 88 MB
% 4.81/1.37  % (3801704)Instructions burned: 114 (million)
% 4.81/1.37  % (3801705)Instruction limit reached! 
% 4.81/1.37  % (3801705)------------------------------
% 4.81/1.37  % (3801705)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.81/1.37  % (3801705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.37  % (3801705)CaDiCaL version: 2.1.3
% 4.81/1.37  % (3801705)Termination reason: Instruction limit
% 4.81/1.37  % (3801705)Termination phase: Saturation
% 4.81/1.37  % (3801705)Time elapsed: 0.105 s
% 4.81/1.37  % (3801705)Peak memory usage: 90 MB
% 4.81/1.37  % (3801705)Instructions burned: 181 (million)
% 4.81/1.37  % (3801714)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=2987048908:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 4.81/1.37  % (3801715)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3387581353: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)
% 4.81/1.37  % (3801714)Refutation not found, incomplete strategy
% 4.81/1.37  % (3801714)------------------------------
% 4.81/1.37  % (3801714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.81/1.37  % (3801714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.37  % (3801714)CaDiCaL version: 2.1.3
% 4.81/1.37  % (3801714)Termination reason: Refutation not found, incomplete strategy
% 5.67/1.56  % (3801714)Time elapsed: 0.001 s
% 5.67/1.56  % (3801714)Peak memory usage: 87 MB
% 5.67/1.56  % (3801715)Refutation not found, incomplete strategy
% 5.67/1.56  % (3801715)------------------------------
% 5.67/1.56  % (3801715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.67/1.56  % (3801715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.67/1.56  % (3801715)CaDiCaL version: 2.1.3
% 5.67/1.56  % (3801715)Termination reason: Refutation not found, incomplete strategy
% 5.67/1.56  % (3801715)Time elapsed: 0.002 s
% 5.67/1.56  % (3801715)Peak memory usage: 88 MB
% 5.67/1.56  % (3801715)Instructions burned: 1 (million)
% 5.67/1.56  % (3801706)------------------------------
% 5.67/1.56  % (3801706)------------------------------
% 5.67/1.56  % (3801716)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=616357915:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.67/1.56  % (3801716)Refutation not found, incomplete strategy
% 5.67/1.56  % (3801716)------------------------------
% 5.67/1.56  % (3801716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.67/1.56  % (3801716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.67/1.56  % (3801716)CaDiCaL version: 2.1.3
% 5.67/1.56  % (3801716)Termination reason: Refutation not found, incomplete strategy
% 5.67/1.56  % (3801716)Time elapsed: 0.001 s
% 5.67/1.56  % (3801716)Peak memory usage: 87 MB
% 5.67/1.56  % (3801700)First to succeed.
% 5.67/1.56  % (3801700)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3801695"
% 5.67/1.56  % (3801719)lrs+10_64_to=lpo:sil=8000:random_seed=2644484548:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 5.67/1.56  % (3801719)Instruction limit reached! 
% 5.67/1.56  % (3801719)------------------------------
% 5.67/1.56  % (3801719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.67/1.56  % (3801719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.67/1.56  % (3801719)CaDiCaL version: 2.1.3
% 5.67/1.56  % (3801719)Termination reason: Instruction limit
% 5.67/1.56  % (3801719)Termination phase: Saturation
% 5.67/1.56  % (3801719)Time elapsed: 0.070 s
% 5.67/1.56  % (3801719)Peak memory usage: 88 MB
% 5.67/1.56  % (3801719)Instructions burned: 128 (million)
% 5.67/1.56  % (3801715)------------------------------
% 5.67/1.56  % (3801715)------------------------------
% 5.67/1.56  % (3801714)------------------------------
% 5.67/1.56  % (3801714)------------------------------
% 5.67/1.56  % (3801716)------------------------------
% 5.67/1.56  % (3801716)------------------------------
% 5.67/1.56  % (3801700)Refutation found. Thanks to Tanya!
% 5.67/1.56  % SZS status Unsatisfiable for theBenchmark
% 5.67/1.56  % SZS output start Proof for theBenchmark
% See solution above
% 5.67/1.56  % (3801700)------------------------------
% 5.67/1.56  % (3801700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.67/1.56  % (3801700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.67/1.56  % (3801700)CaDiCaL version: 2.1.3
% 5.67/1.56  % (3801700)Termination reason: Refutation
% 5.67/1.56  % (3801700)Time elapsed: 0.413 s
% 5.67/1.56  % (3801700)Peak memory usage: 129 MB
% 5.67/1.56  % (3801700)Instructions burned: 1062 (million)
% 5.67/1.56  % (3801700)------------------------------
% 5.67/1.56  % (3801700)------------------------------
% 5.67/1.56  % (3801695)Success in time 0.72 s
% 5.67/1.56  % Vampire exiting
%------------------------------------------------------------------------------