↑ Up

Vampire---5.0.1.UNS-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : COL042-3 : TPTP v9.3.1. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n014.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 09:37:42 AM UTC 2026

% Result   : Unsatisfiable 8.50s 2.29s
% Output   : Refutation 8.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   15 (  14 unt;   0 def)
%            Number of atoms       :   16 (  13 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    9 (   8   ~;   1   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   17 (  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_definition) ).

fof(f2,axiom,
    ! [X0,X1] : apply(apply(w1,X0),X1) = apply(apply(X1,X0),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w1_definition) ).

fof(f3,axiom,
    ! [X0] :
      ( apply(X0,fixed_pt) != apply(fixed_pt,apply(X0,fixed_pt))
      | fixed_point(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',strong_fixed_point) ).

fof(f4,negated_conjecture,
    ~ fixed_point(apply(apply(b,apply(apply(b,apply(w1,w1)),apply(b,w1))),apply(apply(b,b),b))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_strong_fixed_point) ).

fof(f9,plain,
    apply(apply(apply(b,apply(apply(b,apply(w1,w1)),apply(b,w1))),apply(apply(b,b),b)),fixed_pt) != apply(fixed_pt,apply(apply(apply(b,apply(apply(b,apply(w1,w1)),apply(b,w1))),apply(apply(b,b),b)),fixed_pt)),
    inference(unit_resulting_resolution,[],[f3,f4]) ).

fof(f11,plain,
    apply(apply(apply(b,apply(w1,w1)),apply(b,w1)),apply(apply(apply(b,b),b),fixed_pt)) != apply(fixed_pt,apply(apply(apply(b,apply(w1,w1)),apply(b,w1)),apply(apply(apply(b,b),b),fixed_pt))),
    inference(forward_demodulation,[],[f9,f1]) ).

fof(f12,plain,
    apply(apply(w1,w1),apply(apply(b,w1),apply(apply(apply(b,b),b),fixed_pt))) != apply(fixed_pt,apply(apply(w1,w1),apply(apply(b,w1),apply(apply(apply(b,b),b),fixed_pt)))),
    inference(forward_demodulation,[],[f11,f1]) ).

fof(f13,plain,
    apply(apply(w1,w1),apply(apply(b,w1),apply(b,apply(b,fixed_pt)))) != apply(fixed_pt,apply(apply(w1,w1),apply(apply(b,w1),apply(b,apply(b,fixed_pt))))),
    inference(forward_demodulation,[],[f12,f1]) ).

fof(f17,plain,
    ! [X2,X0,X1] : apply(apply(w1,X2),apply(apply(b,X0),X1)) = apply(apply(X0,apply(X1,X2)),X2),
    inference(superposition,[],[f2,f1]) ).

fof(f31,plain,
    apply(apply(w1,apply(apply(b,apply(b,fixed_pt)),w1)),w1) != apply(fixed_pt,apply(apply(w1,apply(apply(b,apply(b,fixed_pt)),w1)),w1)),
    inference(superposition,[],[f13,f17]) ).

fof(f34,plain,
    ! [X2,X0,X1] : apply(apply(w1,X0),apply(apply(b,apply(b,X1)),X2)) = apply(X1,apply(apply(X2,X0),X0)),
    inference(superposition,[],[f1,f17]) ).

fof(f52,plain,
    ! [X2,X0,X1] : apply(X2,apply(apply(w1,X0),X1)) = apply(apply(w1,X0),apply(apply(b,apply(b,X2)),X1)),
    inference(superposition,[],[f34,f2]) ).

fof(f205,plain,
    ! [X0,X1] : apply(apply(w1,apply(apply(b,apply(b,X0)),X1)),w1) = apply(X0,apply(apply(w1,apply(apply(b,apply(b,X0)),X1)),X1)),
    inference(superposition,[],[f2,f52]) ).

fof(f287,plain,
    apply(apply(w1,apply(apply(b,apply(b,fixed_pt)),w1)),w1) != apply(apply(w1,apply(apply(b,apply(b,fixed_pt)),w1)),w1),
    inference(superposition,[],[f31,f205]) ).

fof(f288,plain,
    $false,
    inference(trivial_inequality_removal,[],[f287]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : COL042-3 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.08  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.28  % Computer : n014.cluster.edu
% 0.13/0.28  % Model    : x86_64 x86_64
% 0.13/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.28  % Memory   : 8046.5625MB
% 0.13/0.28  % OS       : Linux 6.8.0-71-generic
% 0.13/0.28  % CPULimit : 300
% 0.13/0.28  % WCLimit  : 300
% 0.13/0.28  % DateTime : Mon Sep 28 21:30:16 UTC 2026
% 0.13/0.28  % CPUTime  : 
% 0.13/0.28  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.27/0.34  Running first-order theorem proving
% 0.27/0.34  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
% 7.64/2.10  % (2207011)Input is clausal, will run a generic CNF schedule.
% 7.64/2.10  % (2207027)lrs+10_1_sil=8000:sp=occurrence:random_seed=726825845:i=107:sd=3:ss=axioms:sgt=8_3000 on theBenchmark for (3000ds/107Mi)
% 7.64/2.10  % (2207024)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=2504846219:i=140167_3000 on theBenchmark for (3000ds/140167Mi)
% 7.64/2.10  % (2207027)Instruction limit reached! 
% 7.64/2.10  % (2207027)------------------------------
% 7.64/2.10  % (2207027)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.64/2.10  % (2207027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.64/2.10  % (2207027)CaDiCaL version: 2.1.3
% 7.64/2.10  % (2207027)Termination reason: Instruction limit
% 7.64/2.10  % (2207027)Termination phase: Saturation
% 7.64/2.10  % (2207027)Time elapsed: 0.039 s
% 7.64/2.10  % (2207027)Peak memory usage: 89 MB
% 7.64/2.10  % (2207027)Instructions burned: 107 (million)
% 7.64/2.10  % (2207030)dis-21_1_sil=8000:lcm=predicate:random_seed=1715027052:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_3000 on theBenchmark for (3000ds/117Mi)
% 7.64/2.10  % (2207025)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=120082368:i=132376:av=off_3000 on theBenchmark for (3000ds/132376Mi)
% 7.64/2.10  % (2207028)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1322860430:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_3000 on theBenchmark for (3000ds/114Mi)
% 7.64/2.10  % (2207026)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=90953029:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_3000 on theBenchmark for (3000ds/137899Mi)
% 7.64/2.10  % (2207030)Refutation not found, incomplete strategy
% 7.64/2.10  % (2207030)------------------------------
% 7.64/2.10  % (2207030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.64/2.10  % (2207030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.64/2.10  % (2207030)CaDiCaL version: 2.1.3
% 7.64/2.10  % (2207030)Termination reason: Refutation not found, incomplete strategy
% 7.64/2.10  % (2207030)Time elapsed: 0.001 s
% 7.64/2.10  % (2207030)Peak memory usage: 88 MB
% 7.64/2.10  % (2207029)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=261047917:s2a=on:i=180:gtg=position_3000 on theBenchmark for (3000ds/180Mi)
% 7.64/2.10  % (2207028)Instruction limit reached! 
% 7.64/2.10  % (2207028)------------------------------
% 7.64/2.10  % (2207028)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.64/2.10  % (2207028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.64/2.10  % (2207028)CaDiCaL version: 2.1.3
% 7.64/2.10  % (2207028)Termination reason: Instruction limit
% 7.64/2.10  % (2207028)Termination phase: Saturation
% 7.64/2.10  % (2207028)Time elapsed: 0.071 s
% 7.64/2.10  % (2207028)Peak memory usage: 89 MB
% 7.64/2.10  % (2207028)Instructions burned: 114 (million)
% 7.64/2.10  % (2207037)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=3404485356:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 7.64/2.10  % (2207037)Refutation not found, incomplete strategy
% 7.64/2.10  % (2207037)------------------------------
% 7.64/2.10  % (2207037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.64/2.10  % (2207037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.64/2.10  % (2207037)CaDiCaL version: 2.1.3
% 7.64/2.10  % (2207037)Termination reason: Refutation not found, incomplete strategy
% 7.64/2.10  % (2207037)Time elapsed: 0.001 s
% 7.64/2.10  % (2207037)Peak memory usage: 88 MB
% 7.64/2.10  % (2207029)Instruction limit reached! 
% 7.64/2.10  % (2207029)------------------------------
% 7.64/2.10  % (2207029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.64/2.10  % (2207029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.64/2.10  % (2207029)CaDiCaL version: 2.1.3
% 7.64/2.10  % (2207029)Termination reason: Instruction limit
% 7.64/2.10  % (2207029)Termination phase: Saturation
% 7.64/2.10  % (2207029)Time elapsed: 0.104 s
% 7.64/2.10  % (2207029)Peak memory usage: 89 MB
% 7.64/2.10  % (2207029)Instructions burned: 181 (million)
% 7.64/2.10  % (2207066)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=455521210: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)
% 8.50/2.29  % (2207066)Refutation not found, incomplete strategy
% 8.50/2.29  % (2207066)------------------------------
% 8.50/2.29  % (2207066)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.50/2.29  % (2207066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.50/2.29  % (2207066)CaDiCaL version: 2.1.3
% 8.50/2.29  % (2207066)Termination reason: Refutation not found, incomplete strategy
% 8.50/2.29  % (2207066)Time elapsed: 0.002 s
% 8.50/2.29  % (2207066)Peak memory usage: 88 MB
% 8.50/2.29  % (2207066)Instructions burned: 1 (million)
% 8.50/2.29  % (2207037)------------------------------
% 8.50/2.29  % (2207037)------------------------------
% 8.50/2.29  % (2207030)------------------------------
% 8.50/2.29  % (2207030)------------------------------
% 8.50/2.29  % (2207086)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3802451027:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 8.50/2.29  % (2207086)Refutation not found, incomplete strategy
% 8.50/2.29  % (2207086)------------------------------
% 8.50/2.29  % (2207086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.50/2.29  % (2207086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.50/2.29  % (2207086)CaDiCaL version: 2.1.3
% 8.50/2.29  % (2207086)Termination reason: Refutation not found, incomplete strategy
% 8.50/2.29  % (2207086)Time elapsed: 0.001 s
% 8.50/2.29  % (2207086)Peak memory usage: 88 MB
% 8.50/2.29  % (2207122)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1166970256:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 8.50/2.29  % (2207120)lrs+10_64_to=lpo:sil=8000:random_seed=82816173:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 8.50/2.29  % (2207122)Instruction limit reached! 
% 8.50/2.29  % (2207122)------------------------------
% 8.50/2.29  % (2207122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.50/2.29  % (2207122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.50/2.29  % (2207122)CaDiCaL version: 2.1.3
% 8.50/2.29  % (2207122)Termination reason: Instruction limit
% 8.50/2.29  % (2207122)Termination phase: Saturation
% 8.50/2.29  % (2207122)Time elapsed: 0.071 s
% 8.50/2.29  % (2207122)Peak memory usage: 91 MB
% 8.50/2.29  % (2207122)Instructions burned: 198 (million)
% 8.50/2.29  % (2207120)Instruction limit reached! 
% 8.50/2.29  % (2207120)------------------------------
% 8.50/2.29  % (2207120)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.50/2.29  % (2207120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.50/2.29  % (2207120)CaDiCaL version: 2.1.3
% 8.50/2.29  % (2207120)Termination reason: Instruction limit
% 8.50/2.29  % (2207120)Termination phase: Saturation
% 8.50/2.29  % (2207120)Time elapsed: 0.085 s
% 8.50/2.29  % (2207120)Peak memory usage: 89 MB
% 8.50/2.29  % (2207120)Instructions burned: 126 (million)
% 8.50/2.29  % (2207066)------------------------------
% 8.50/2.29  % (2207066)------------------------------
% 8.50/2.29  % (2207086)------------------------------
% 8.50/2.29  % (2207086)------------------------------
% 8.50/2.29  % (2207153)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2527225924:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 8.50/2.29  % (2207153)Instruction limit reached! 
% 8.50/2.29  % (2207153)------------------------------
% 8.50/2.29  % (2207153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.50/2.29  % (2207153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.50/2.29  % (2207153)CaDiCaL version: 2.1.3
% 8.50/2.29  % (2207153)Termination reason: Instruction limit
% 8.50/2.29  % (2207153)Termination phase: Saturation
% 8.50/2.29  % (2207153)Time elapsed: 0.059 s
% 8.50/2.29  % (2207153)Peak memory usage: 91 MB
% 8.50/2.29  % (2207153)Instructions burned: 158 (million)
% 8.50/2.29  % (2207154)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2988259929:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 8.50/2.29  % (2207156)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=1771440721:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 8.50/2.29  % (2207167)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3756206359:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 8.50/2.29  % (2207167)Refutation not found, incomplete strategy
% 8.50/2.29  % (2207167)------------------------------
% 8.50/2.29  % (2207167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.50/2.29  % (2207167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.50/2.29  % (2207167)CaDiCaL version: 2.1.3
% 8.50/2.29  % (2207167)Termination reason: Refutation not found, incomplete strategy
% 8.50/2.29  % (2207167)Time elapsed: 0.001 s
% 8.50/2.29  % (2207167)Peak memory usage: 87 MB
% 8.50/2.29  % (2207025)First to succeed.
% 8.50/2.29  % (2207156)Instruction limit reached! 
% 8.50/2.29  % (2207156)------------------------------
% 8.50/2.29  % (2207156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.50/2.29  % (2207156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.50/2.29  % (2207156)CaDiCaL version: 2.1.3
% 8.50/2.29  % (2207156)Termination reason: Instruction limit
% 8.50/2.29  % (2207156)Termination phase: Saturation
% 8.50/2.29  % (2207156)Time elapsed: 0.067 s
% 8.50/2.29  % (2207156)Peak memory usage: 89 MB
% 8.50/2.29  % (2207156)Instructions burned: 107 (million)
% 8.50/2.29  % (2207025)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2207011"
% 8.50/2.29  % (2207201)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2712427552:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 8.50/2.29  % (2207209)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=45027613:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 8.50/2.29  % (2207026)Also succeeded, but the first one will report.
% 8.50/2.29  % (2207201)Instruction limit reached! 
% 8.50/2.29  % (2207201)------------------------------
% 8.50/2.29  % (2207201)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.50/2.29  % (2207201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.50/2.29  % (2207201)CaDiCaL version: 2.1.3
% 8.50/2.29  % (2207201)Termination reason: Instruction limit
% 8.50/2.29  % (2207201)Termination phase: Saturation
% 8.50/2.29  % (2207201)Time elapsed: 0.145 s
% 8.50/2.29  % (2207201)Peak memory usage: 91 MB
% 8.50/2.29  % (2207201)Instructions burned: 244 (million)
% 8.50/2.29  % (2207167)------------------------------
% 8.50/2.29  % (2207167)------------------------------
% 8.50/2.29  % (2207025)Refutation found. Thanks to Tanya!
% 8.50/2.29  % SZS status Unsatisfiable for theBenchmark
% 8.50/2.29  % SZS output start Proof for theBenchmark
% See solution above
% 8.50/2.29  % (2207025)------------------------------
% 8.50/2.29  % (2207025)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.50/2.29  % (2207025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.50/2.29  % (2207025)CaDiCaL version: 2.1.3
% 8.50/2.29  % (2207025)Termination reason: Refutation
% 8.50/2.29  % (2207025)Time elapsed: 0.668 s
% 8.50/2.29  % (2207025)Peak memory usage: 129 MB
% 8.50/2.29  % (2207025)Instructions burned: 1010 (million)
% 8.50/2.29  % (2207025)------------------------------
% 8.50/2.29  % (2207025)------------------------------
% 8.50/2.29  % (2207011)Success in time 1.067 s
% 8.50/2.29  % Vampire exiting
%------------------------------------------------------------------------------