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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : NUM294+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 : n013.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 12:12:06 PM UTC 2026

% Result   : Theorem 7.57s 2.06s
% Output   : Refutation 7.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   22 (  12 unt;   0 def)
%            Number of atoms       :   41 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   41 (  22   ~;  15   |;   2   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   42 (  40   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f13,axiom,
    rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn12) ).

fof(f30,axiom,
    rdn_translate(n29,rdn_pos(rdn(rdnn(n9),rdnn(n2)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn29) ).

fof(f267,axiom,
    rdn_positive_less(rdnn(n1),rdnn(n2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less12) ).

fof(f276,axiom,
    ! [X0,X1,X2,X3] :
      ( rdn_positive_less(X1,X3)
     => rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less_multi_digit_high) ).

fof(f281,axiom,
    ! [X0,X1,X2,X3] :
      ( ( rdn_translate(X0,rdn_pos(X2))
        & rdn_translate(X1,rdn_pos(X3))
        & rdn_positive_less(X2,X3) )
     => less(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_entry_point_pos_pos) ).

fof(f402,conjecture,
    ? [X0] : less(n12,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n12_less_something) ).

fof(f403,negated_conjecture,
    ~ ? [X0] : less(n12,X0),
    inference(negated_conjecture,[status(cth)],[f402]) ).

fof(f407,plain,
    ! [X0,X1,X2,X3] :
      ( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X3))
      | ~ rdn_positive_less(X1,X3) ),
    inference(ennf_transformation,[],[f276]) ).

fof(f413,plain,
    ! [X0,X1,X2,X3] :
      ( less(X0,X1)
      | ~ rdn_translate(X0,rdn_pos(X2))
      | ~ rdn_translate(X1,rdn_pos(X3))
      | ~ rdn_positive_less(X2,X3) ),
    inference(ennf_transformation,[],[f281]) ).

fof(f414,plain,
    ! [X0,X1,X2,X3] :
      ( less(X0,X1)
      | ~ rdn_translate(X0,rdn_pos(X2))
      | ~ rdn_translate(X1,rdn_pos(X3))
      | ~ rdn_positive_less(X2,X3) ),
    inference(flattening,[],[f413]) ).

fof(f450,plain,
    ! [X0] : ~ less(n12,X0),
    inference(ennf_transformation,[],[f403]) ).

fof(f466,plain,
    rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))),
    inference(cnf_transformation,[],[f13]) ).

fof(f483,plain,
    rdn_translate(n29,rdn_pos(rdn(rdnn(n9),rdnn(n2)))),
    inference(cnf_transformation,[],[f30]) ).

fof(f720,plain,
    rdn_positive_less(rdnn(n1),rdnn(n2)),
    inference(cnf_transformation,[],[f267]) ).

fof(f729,plain,
    ! [X2,X3,X0,X1] :
      ( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X3))
      | ~ rdn_positive_less(X1,X3) ),
    inference(cnf_transformation,[],[f407]) ).

fof(f734,plain,
    ! [X2,X3,X0,X1] :
      ( less(X0,X1)
      | ~ rdn_translate(X0,rdn_pos(X2))
      | ~ rdn_translate(X1,rdn_pos(X3))
      | ~ rdn_positive_less(X2,X3) ),
    inference(cnf_transformation,[],[f414]) ).

fof(f858,plain,
    ! [X0] : ~ less(n12,X0),
    inference(cnf_transformation,[],[f450]) ).

fof(f864,plain,
    ! [X2,X0,X1] :
      ( ~ rdn_translate(n12,rdn_pos(X0))
      | ~ rdn_translate(X1,rdn_pos(X2))
      | ~ rdn_positive_less(X0,X2) ),
    inference(resolution,[],[f858,f734]) ).

fof(f916,plain,
    ! [X0,X1] :
      ( ~ rdn_positive_less(rdn(rdnn(n2),rdnn(n1)),X1)
      | ~ rdn_translate(X0,rdn_pos(X1)) ),
    inference(resolution,[],[f864,f466]) ).

fof(f1007,plain,
    ! [X2,X0,X1] :
      ( ~ rdn_positive_less(rdnn(n1),X2)
      | ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),X2))) ),
    inference(resolution,[],[f916,f729]) ).

fof(f1187,plain,
    ! [X0,X1] : ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),rdnn(n2)))),
    inference(resolution,[],[f1007,f720]) ).

fof(f2134,plain,
    $false,
    inference(resolution,[],[f1187,f483]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM294+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39  % Computer : n013.cluster.edu
% 0.11/0.39  % Model    : x86_64 x86_64
% 0.11/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39  % Memory   : 8046.5625MB
% 0.11/0.39  % OS       : Linux 6.8.0-71-generic
% 0.11/0.39  % CPULimit : 300
% 0.11/0.39  % WCLimit  : 300
% 0.11/0.39  % DateTime : Sun Sep 27 19:28:22 UTC 2026
% 0.11/0.39  % CPUTime  : 
% 0.11/0.39  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42  Running first-order theorem proving
% 0.11/0.42  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
% 5.95/1.87  % (504654)Detected formulas, will run a generic FOF schedule.
% 5.95/1.87  % (504660)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=3813606487:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.95/1.87  % (504659)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=3418438508:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.95/1.87  % (504661)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=519073984:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.95/1.87  % (504662)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2335620142:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.95/1.87  % (504664)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=927486173:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.95/1.87  % (504663)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1923604289:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.95/1.87  % (504665)dis-21_1_sil=8000:lcm=predicate:random_seed=146589559: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)
% 5.95/1.87  % (504662)Refutation not found, incomplete strategy
% 5.95/1.87  % (504662)------------------------------
% 5.95/1.87  % (504662)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.95/1.87  % (504662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/1.87  % (504662)CaDiCaL version: 2.1.3
% 5.95/1.87  % (504662)Termination reason: Refutation not found, incomplete strategy
% 5.95/1.87  % (504662)Time elapsed: 0.002 s
% 5.95/1.87  % (504662)Peak memory usage: 88 MB
% 5.95/1.87  % (504662)Instructions burned: 1 (million)
% 5.95/1.87  % (504663)Instruction limit reached! 
% 5.95/1.87  % (504663)------------------------------
% 5.95/1.87  % (504663)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.95/1.87  % (504663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/1.87  % (504663)CaDiCaL version: 2.1.3
% 5.95/1.87  % (504663)Termination reason: Instruction limit
% 5.95/1.87  % (504663)Termination phase: Saturation
% 5.95/1.87  % (504663)Time elapsed: 0.053 s
% 5.95/1.87  % (504663)Peak memory usage: 87 MB
% 5.95/1.87  % (504663)Instructions burned: 120 (million)
% 5.95/1.87  % (504665)Instruction limit reached! 
% 5.95/1.87  % (504665)------------------------------
% 5.95/1.87  % (504665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.95/1.87  % (504665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/1.87  % (504665)CaDiCaL version: 2.1.3
% 5.95/1.87  % (504665)Termination reason: Instruction limit
% 5.95/1.87  % (504665)Termination phase: Saturation
% 5.95/1.87  % (504665)Time elapsed: 0.059 s
% 5.95/1.87  % (504665)Peak memory usage: 88 MB
% 5.95/1.87  % (504665)Instructions burned: 131 (million)
% 5.95/1.87  % (504664)Instruction limit reached! 
% 5.95/1.87  % (504664)------------------------------
% 5.95/1.87  % (504664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.95/1.87  % (504664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/1.87  % (504664)CaDiCaL version: 2.1.3
% 5.95/1.87  % (504664)Termination reason: Instruction limit
% 5.95/1.87  % (504664)Termination phase: Saturation
% 5.95/1.87  % (504664)Time elapsed: 0.078 s
% 5.95/1.87  % (504664)Peak memory usage: 89 MB
% 5.95/1.87  % (504664)Instructions burned: 139 (million)
% 5.95/1.87  % (504673)lrs+10_1_sil=8000:sp=occurrence:random_seed=2061682161:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.95/1.87  % (504674)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2061584859:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.95/1.87  % (504673)Refutation not found, incomplete strategy
% 5.95/1.87  % (504673)------------------------------
% 5.95/1.87  % (504673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.95/1.87  % (504673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/1.87  % (504673)CaDiCaL version: 2.1.3
% 5.95/1.87  % (504673)Termination reason: Refutation not found, incomplete strategy
% 5.95/1.87  % (504673)Time elapsed: 0.012 s
% 7.57/2.06  % (504673)Peak memory usage: 88 MB
% 7.57/2.06  % (504673)Instructions burned: 18 (million)
% 7.57/2.06  % (504674)Refutation not found, incomplete strategy
% 7.57/2.06  % (504674)------------------------------
% 7.57/2.06  % (504674)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.57/2.06  % (504674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/2.06  % (504674)CaDiCaL version: 2.1.3
% 7.57/2.06  % (504674)Termination reason: Refutation not found, incomplete strategy
% 7.57/2.06  % (504674)Time elapsed: 0.004 s
% 7.57/2.06  % (504674)Peak memory usage: 88 MB
% 7.57/2.06  % (504674)Instructions burned: 5 (million)
% 7.57/2.06  % (504675)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1450170214:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 7.57/2.06  % (504675)Refutation not found, incomplete strategy
% 7.57/2.06  % (504675)------------------------------
% 7.57/2.06  % (504675)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.57/2.06  % (504675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/2.06  % (504675)CaDiCaL version: 2.1.3
% 7.57/2.06  % (504675)Termination reason: Refutation not found, incomplete strategy
% 7.57/2.06  % (504675)Time elapsed: 0.002 s
% 7.57/2.06  % (504675)Peak memory usage: 88 MB
% 7.57/2.06  % (504675)Instructions burned: 2 (million)
% 7.57/2.06  % (504662)------------------------------
% 7.57/2.06  % (504662)------------------------------
% 7.57/2.06  % (504660)Refutation not found, incomplete strategy
% 7.57/2.06  % (504660)------------------------------
% 7.57/2.06  % (504660)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.57/2.06  % (504660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/2.06  % (504660)CaDiCaL version: 2.1.3
% 7.57/2.06  % (504660)Termination reason: Refutation not found, incomplete strategy
% 7.57/2.06  % (504660)Time elapsed: 0.425 s
% 7.57/2.06  % (504660)Peak memory usage: 130 MB
% 7.57/2.06  % (504660)Instructions burned: 1105 (million)
% 7.57/2.06  % (504679)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=823088366:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 7.57/2.06  % (504673)------------------------------
% 7.57/2.06  % (504673)------------------------------
% 7.57/2.06  % (504674)------------------------------
% 7.57/2.06  % (504674)------------------------------
% 7.57/2.06  % (504675)------------------------------
% 7.57/2.06  % (504675)------------------------------
% 7.57/2.06  % (504660)------------------------------
% 7.57/2.06  % (504660)------------------------------
% 7.57/2.06  % (504679)Instruction limit reached! 
% 7.57/2.06  % (504679)------------------------------
% 7.57/2.06  % (504679)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.57/2.06  % (504679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/2.06  % (504679)CaDiCaL version: 2.1.3
% 7.57/2.06  % (504679)Termination reason: Instruction limit
% 7.57/2.06  % (504679)Termination phase: Saturation
% 7.57/2.06  % (504679)Time elapsed: 0.133 s
% 7.57/2.06  % (504679)Peak memory usage: 91 MB
% 7.57/2.06  % (504679)Instructions burned: 248 (million)
% 7.57/2.06  % (504661)Refutation not found, incomplete strategy
% 7.57/2.06  % (504661)------------------------------
% 7.57/2.06  % (504661)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.57/2.06  % (504661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/2.06  % (504661)CaDiCaL version: 2.1.3
% 7.57/2.06  % (504661)Termination reason: Refutation not found, incomplete strategy
% 7.57/2.06  % (504661)Time elapsed: 0.612 s
% 7.57/2.06  % (504661)Peak memory usage: 128 MB
% 7.57/2.06  % (504661)Instructions burned: 903 (million)
% 7.57/2.06  % (504681)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=802696824:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 7.57/2.06  % (504682)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4128554526:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 7.57/2.06  % (504681)Refutation not found, incomplete strategy
% 7.57/2.06  % (504681)------------------------------
% 7.57/2.06  % (504681)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.57/2.06  % (504681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/2.06  % (504681)CaDiCaL version: 2.1.3
% 7.57/2.06  % (504681)Termination reason: Refutation not found, incomplete strategy
% 7.57/2.06  % (504681)Time elapsed: 0.003 s
% 7.57/2.06  % (504681)Peak memory usage: 88 MB
% 7.57/2.06  % (504681)Instructions burned: 3 (million)
% 7.57/2.06  % (504683)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2454095372:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 7.57/2.06  % (504684)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4243243299:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 7.57/2.06  % (504684)First to succeed.
% 7.57/2.06  % (504684)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-504654"
% 7.57/2.06  % (504683)Instruction limit reached! 
% 7.57/2.06  % (504683)------------------------------
% 7.57/2.06  % (504683)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.57/2.06  % (504683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/2.06  % (504683)CaDiCaL version: 2.1.3
% 7.57/2.06  % (504683)Termination reason: Instruction limit
% 7.57/2.06  % (504683)Termination phase: Saturation
% 7.57/2.06  % (504683)Time elapsed: 0.054 s
% 7.57/2.06  % (504683)Peak memory usage: 88 MB
% 7.57/2.06  % (504683)Instructions burned: 114 (million)
% 7.57/2.06  % (504685)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=526680290:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 7.57/2.06  % (504685)Refutation not found, incomplete strategy
% 7.57/2.06  % (504685)------------------------------
% 7.57/2.06  % (504685)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.57/2.06  % (504685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/2.06  % (504685)CaDiCaL version: 2.1.3
% 7.57/2.06  % (504685)Termination reason: Refutation not found, incomplete strategy
% 7.57/2.06  % (504685)Time elapsed: 0.013 s
% 7.57/2.06  % (504685)Peak memory usage: 88 MB
% 7.57/2.06  % (504685)Instructions burned: 26 (million)
% 7.57/2.06  % (504684)Refutation found. Thanks to Tanya!
% 7.57/2.06  % SZS status Theorem for theBenchmark
% 7.57/2.06  % SZS output start Proof for theBenchmark
% See solution above
% 7.57/2.06  % (504684)------------------------------
% 7.57/2.06  % (504684)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.57/2.06  % (504684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/2.06  % (504684)CaDiCaL version: 2.1.3
% 7.57/2.06  % (504684)Termination reason: Refutation
% 7.57/2.06  % (504684)Time elapsed: 0.006 s
% 7.57/2.06  % (504684)Peak memory usage: 88 MB
% 7.57/2.06  % (504684)Instructions burned: 23 (million)
% 7.57/2.06  % (504684)------------------------------
% 7.57/2.06  % (504684)------------------------------
% 7.57/2.06  % (504654)Success in time 1.002 s
% 7.57/2.06  % Vampire exiting
%------------------------------------------------------------------------------