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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ARI641_1 : TPTP v9.3.1. Released v6.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/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 09:33:33 AM UTC 2026

% Result   : Theorem 5.99s 1.80s
% Output   : Refutation 6.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   45 (  35 unt;   0 typ;  16 def)
%            Number of atoms       :   55 (  16 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   19 (   9   ~;   0   |;   0   &)
%                                         (  10 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number arithmetic     :  124 (  18 atm;  75 fun;  31 num;   0 var)
%            Number of types       :    1 (   0 usr;   1 ari;   0 dat;   0 cdt)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   15 (  10 usr;  11 prp; 0-2 aty)
%            Number of functors    :   17 (  10 usr;  12 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_0,type,
    m: $real ).

tff(func_def_1,type,
    x: $real ).

tff(func_def_2,type,
    a: $real ).

tff(func_def_3,type,
    b: $real ).

tff(func_def_10,type,
    sF0: $real ).

tff(func_def_11,type,
    sF1: $real ).

tff(func_def_12,type,
    sF2: $real ).

tff(func_def_13,type,
    sF3: $real ).

tff(func_def_14,type,
    sF4: $real ).

tff(func_def_15,type,
    sF5: $real ).

tff(f1,axiom,
    $less(a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis) ).

tff(f2,axiom,
    $greater(x,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_01) ).

tff(f3,axiom,
    $greatereq(m,$ceiling($product($quotient(1/1,$sum($product(-1/1,a),x)),$sum($product(-1/1,a),b)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_02) ).

tff(f4,conjecture,
    $less($sum(a,$product($quotient(1/1,$sum(1/1,m)),$sum($product(-1/1,a),b))),x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion) ).

tff(f5,negated_conjecture,
    ~ $less($sum(a,$product($quotient(1/1,$sum(1/1,m)),$sum($product(-1/1,a),b))),x),
    inference(negated_conjecture,[status(cth)],[f4]) ).

tff(f6,plain,
    $less(a,x),
    inference(theory_normalization,[],[f2]) ).

tff(f7,plain,
    ~ $less(m,$ceiling($product($quotient(1/1,$sum($product(-1/1,a),x)),$sum($product(-1/1,a),b)))),
    inference(theory_normalization,[],[f3]) ).

tff(f8,plain,
    ~ $less($sum(a,$product($quotient(1/1,$sum(1/1,m)),$sum($product(-1/1,a),b))),x),
    inference(flattening,[],[f5]) ).

tff(f9,plain,
    ~ $less($sum(a,$product($quotient(1/1,$sum(1/1,m)),$sum($product(-1/1,a),b))),x),
    inference(cnf_transformation,[],[f8]) ).

tff(f10,plain,
    $less(a,x),
    inference(cnf_transformation,[],[f6]) ).

tff(f11,plain,
    ~ $less(m,$ceiling($product($quotient(1/1,$sum($product(-1/1,a),x)),$sum($product(-1/1,a),b)))),
    inference(cnf_transformation,[],[f7]) ).

tff(f12,plain,
    $less(a,b),
    inference(cnf_transformation,[],[f1]) ).

tff(f13,definition,
    sF0 = $sum(1/1,m),
    introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).

tff(f14,plain,
    $sum(1/1,m) = sF0,
    inference(reorient_equations,[],[f13]) ).

tff(f15,definition,
    sF1 = $quotient(1/1,sF0),
    introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).

tff(f16,plain,
    $quotient(1/1,sF0) = sF1,
    inference(reorient_equations,[],[f15]) ).

tff(f17,definition,
    sF2 = $product(-1/1,a),
    introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).

tff(f18,plain,
    $product(-1/1,a) = sF2,
    inference(reorient_equations,[],[f17]) ).

tff(f19,definition,
    sF3 = $sum(sF2,b),
    introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).

tff(f20,definition,
    sF4 = $product(sF1,sF3),
    introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).

tff(f21,definition,
    sF5 = $sum(a,sF4),
    introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).

tff(f22,plain,
    ~ $less(sF5,x),
    inference(definition_folding,[],[f9,f21,f20,f19,f18,f16,f14]) ).

tff(f23,plain,
    sF2 = $uminus(a),
    inference(evaluation,[],[f18]) ).

tff(f24,plain,
    ~ $less(m,$ceiling($product($quotient(1/1,$sum($uminus(a),x)),$sum($uminus(a),b)))),
    inference(evaluation,[],[f11]) ).

tff(f26,definition,
    ( spl6_1
  <=> $less(sF5,x) ),
    introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).

tff(f29,plain,
    ~ spl6_1,
    inference(avatar_split_clause,[],[f22,f26]) ).

tff(f31,definition,
    ( spl6_2
  <=> ( $sum(1/1,m) = sF0 ) ),
    introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).

tff(f34,plain,
    spl6_2,
    inference(avatar_split_clause,[],[f14,f31]) ).

tff(f36,definition,
    ( spl6_3
  <=> ( sF3 = $sum(sF2,b) ) ),
    introduced(definition,[new_symbols(definition,[spl6_3])],[avatar_definition]) ).

tff(f39,plain,
    spl6_3,
    inference(avatar_split_clause,[],[f19,f36]) ).

tff(f41,definition,
    ( spl6_4
  <=> ( sF2 = $uminus(a) ) ),
    introduced(definition,[new_symbols(definition,[spl6_4])],[avatar_definition]) ).

tff(f44,plain,
    spl6_4,
    inference(avatar_split_clause,[],[f23,f41]) ).

tff(f46,definition,
    ( spl6_5
  <=> $less(m,$ceiling($product($quotient(1/1,$sum($uminus(a),x)),$sum($uminus(a),b)))) ),
    introduced(definition,[new_symbols(definition,[spl6_5])],[avatar_definition]) ).

tff(f49,plain,
    ~ spl6_5,
    inference(avatar_split_clause,[],[f24,f46]) ).

tff(f51,definition,
    ( spl6_6
  <=> ( sF4 = $product(sF1,sF3) ) ),
    introduced(definition,[new_symbols(definition,[spl6_6])],[avatar_definition]) ).

tff(f54,plain,
    spl6_6,
    inference(avatar_split_clause,[],[f20,f51]) ).

tff(f56,definition,
    ( spl6_7
  <=> $less(a,b) ),
    introduced(definition,[new_symbols(definition,[spl6_7])],[avatar_definition]) ).

tff(f59,plain,
    spl6_7,
    inference(avatar_split_clause,[],[f12,f56]) ).

tff(f61,definition,
    ( spl6_8
  <=> ( sF5 = $sum(a,sF4) ) ),
    introduced(definition,[new_symbols(definition,[spl6_8])],[avatar_definition]) ).

tff(f64,plain,
    spl6_8,
    inference(avatar_split_clause,[],[f21,f61]) ).

tff(f66,definition,
    ( spl6_9
  <=> $less(a,x) ),
    introduced(definition,[new_symbols(definition,[spl6_9])],[avatar_definition]) ).

tff(f69,plain,
    spl6_9,
    inference(avatar_split_clause,[],[f10,f66]) ).

tff(f71,definition,
    ( spl6_10
  <=> ( $quotient(1/1,sF0) = sF1 ) ),
    introduced(definition,[new_symbols(definition,[spl6_10])],[avatar_definition]) ).

tff(f74,plain,
    spl6_10,
    inference(avatar_split_clause,[],[f16,f71]) ).

tff(f75,plain,
    $false,
    inference(avatar_smt_refutation,[],[f74,f69,f64,f59,f54,f49,f44,f39,f34,f29]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : ARI641_1 : TPTP v9.3.1. Released v6.3.0.
% 0.00/0.08  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.27  % Computer : n011.cluster.edu
% 0.10/0.27  % Model    : x86_64 x86_64
% 0.10/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.27  % Memory   : 8046.5625MB
% 0.10/0.27  % OS       : Linux 6.8.0-71-generic
% 0.10/0.27  % CPULimit : 300
% 0.10/0.27  % WCLimit  : 300
% 0.10/0.27  % DateTime : Mon Sep 28 20:54:31 UTC 2026
% 0.26/0.27  % CPUTime  : 
% 0.26/0.28  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.32  Running first-order theorem proving
% 0.26/0.32  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
% 4.06/1.58  % (3774853)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 4.06/1.58  % (3774859)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2481342291:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 4.06/1.58  % (3774864)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3274016504:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 4.06/1.58  % (3774864)Instruction limit reached! 
% 4.06/1.58  % (3774864)------------------------------
% 4.06/1.58  % (3774864)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.06/1.58  % (3774864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.06/1.58  % (3774864)CaDiCaL version: 2.1.3
% 4.06/1.58  % (3774864)Termination reason: Instruction limit
% 4.06/1.58  % (3774864)Termination phase: Saturation
% 4.06/1.58  % (3774864)Time elapsed: 0.038 s
% 4.06/1.58  % (3774864)Peak memory usage: 118 MB
% 4.06/1.58  % (3774864)Instructions burned: 34 (million)
% 4.06/1.58  % (3774858)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3268479686:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 4.06/1.58  % (3774861)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1454325933:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 4.06/1.58  % (3774862)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1398843805:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 4.06/1.58  % (3774860)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=4122172119:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 4.06/1.58  % (3774862)Instruction limit reached! 
% 4.06/1.58  % (3774862)------------------------------
% 4.06/1.58  % (3774862)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.06/1.58  % (3774862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.06/1.58  % (3774862)CaDiCaL version: 2.1.3
% 4.06/1.58  % (3774862)Termination reason: Instruction limit
% 4.06/1.58  % (3774862)Termination phase: Saturation
% 4.06/1.58  % (3774862)Time elapsed: 0.005 s
% 4.06/1.58  % (3774862)Peak memory usage: 88 MB
% 4.06/1.58  % (3774862)Instructions burned: 4 (million)
% 4.06/1.58  % (3774861)Instruction limit reached! 
% 4.06/1.58  % (3774861)------------------------------
% 4.06/1.58  % (3774861)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.06/1.58  % (3774861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.06/1.58  % (3774861)CaDiCaL version: 2.1.3
% 4.06/1.58  % (3774861)Termination reason: Instruction limit
% 4.06/1.58  % (3774861)Termination phase: Saturation
% 4.06/1.58  % (3774861)Time elapsed: 0.008 s
% 4.06/1.58  % (3774861)Peak memory usage: 88 MB
% 4.06/1.58  % (3774861)Instructions burned: 8 (million)
% 4.06/1.58  % (3774863)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=384167939:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 4.06/1.58  % (3774858)Instruction limit reached! 
% 4.06/1.58  % (3774858)------------------------------
% 4.06/1.58  % (3774858)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.06/1.58  % (3774858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.06/1.58  % (3774858)CaDiCaL version: 2.1.3
% 4.06/1.58  % (3774858)Termination reason: Instruction limit
% 4.06/1.58  % (3774858)Termination phase: Saturation
% 4.06/1.58  % (3774858)Time elapsed: 0.043 s
% 4.06/1.58  % (3774858)Peak memory usage: 117 MB
% 4.06/1.58  % (3774858)Instructions burned: 12 (million)
% 4.06/1.58  % (3774859)First to succeed.
% 4.06/1.58  % (3774859)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3774853"
% 4.06/1.58  % (3774863)Instruction limit reached! 
% 4.06/1.58  % (3774863)------------------------------
% 4.06/1.58  % (3774863)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.06/1.58  % (3774863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.06/1.58  % (3774863)CaDiCaL version: 2.1.3
% 4.06/1.58  % (3774863)Termination reason: Instruction limit
% 4.06/1.58  % (3774863)Termination phase: Saturation
% 4.06/1.58  % (3774863)Time elapsed: 0.078 s
% 4.06/1.58  % (3774863)Peak memory usage: 117 MB
% 4.06/1.58  % (3774863)Instructions burned: 46 (million)
% 4.06/1.58  % (3774867)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=3105639647:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 5.99/1.80  % (3774867)Refutation not found, incomplete strategy
% 5.99/1.80  % (3774867)------------------------------
% 5.99/1.80  % (3774867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.99/1.80  % (3774867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.99/1.80  % (3774867)CaDiCaL version: 2.1.3
% 5.99/1.80  % (3774867)Termination reason: Refutation not found, incomplete strategy
% 5.99/1.80  % (3774867)Time elapsed: 0.001 s
% 5.99/1.80  % (3774867)Peak memory usage: 88 MB
% 5.99/1.80  % (3774875)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=1974971904:i=24:canc=force:rtra=on_2996 on theBenchmark for (2996ds/24Mi)
% 5.99/1.80  % (3774860)Instruction limit reached! 
% 5.99/1.80  % (3774860)------------------------------
% 5.99/1.80  % (3774860)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.99/1.80  % (3774860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.99/1.80  % (3774860)CaDiCaL version: 2.1.3
% 5.99/1.80  % (3774860)Termination reason: Instruction limit
% 5.99/1.80  % (3774860)Termination phase: Saturation
% 5.99/1.80  % (3774860)Time elapsed: 0.247 s
% 5.99/1.80  % (3774860)Peak memory usage: 117 MB
% 5.99/1.80  % (3774860)Instructions burned: 201 (million)
% 5.99/1.80  % (3774872)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=2861269631:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2997 on theBenchmark for (2997ds/29Mi)
% 5.99/1.80  % (3774873)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=1034407018:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 5.99/1.80  % (3774875)Instruction limit reached! 
% 5.99/1.80  % (3774875)------------------------------
% 5.99/1.80  % (3774875)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.99/1.80  % (3774875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.99/1.80  % (3774875)CaDiCaL version: 2.1.3
% 5.99/1.80  % (3774875)Termination reason: Instruction limit
% 5.99/1.80  % (3774875)Termination phase: Saturation
% 5.99/1.80  % (3774875)Time elapsed: 0.027 s
% 5.99/1.80  % (3774875)Peak memory usage: 89 MB
% 5.99/1.80  % (3774875)Instructions burned: 24 (million)
% 5.99/1.80  % (3774873)Instruction limit reached! 
% 5.99/1.80  % (3774873)------------------------------
% 5.99/1.80  % (3774873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.99/1.80  % (3774873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.99/1.80  % (3774873)CaDiCaL version: 2.1.3
% 5.99/1.80  % (3774873)Termination reason: Instruction limit
% 5.99/1.80  % (3774873)Termination phase: Saturation
% 5.99/1.80  % (3774873)Time elapsed: 0.015 s
% 5.99/1.80  % (3774873)Peak memory usage: 90 MB
% 5.99/1.80  % (3774873)Instructions burned: 16 (million)
% 5.99/1.80  % (3774872)Instruction limit reached! 
% 5.99/1.80  % (3774872)------------------------------
% 5.99/1.80  % (3774872)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.99/1.80  % (3774872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.99/1.80  % (3774872)CaDiCaL version: 2.1.3
% 5.99/1.80  % (3774872)Termination reason: Instruction limit
% 5.99/1.80  % (3774872)Termination phase: Saturation
% 5.99/1.80  % (3774872)Time elapsed: 0.030 s
% 5.99/1.80  % (3774872)Peak memory usage: 88 MB
% 5.99/1.80  % (3774872)Instructions burned: 29 (million)
% 5.99/1.80  % (3774876)ott+1010_8_to=lpo:sil=128000:si=on:norm_ineq=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=298588917:i=27:canc=cautious:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/27Mi)
% 5.99/1.80  % (3774876)Instruction limit reached! 
% 5.99/1.80  % (3774876)------------------------------
% 5.99/1.80  % (3774876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.99/1.80  % (3774876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.99/1.80  % (3774876)CaDiCaL version: 2.1.3
% 5.99/1.80  % (3774876)Termination reason: Instruction limit
% 5.99/1.80  % (3774876)Termination phase: Saturation
% 5.99/1.80  % (3774876)Time elapsed: 0.025 s
% 5.99/1.80  % (3774876)Peak memory usage: 89 MB
% 5.99/1.80  % (3774876)Instructions burned: 27 (million)
% 5.99/1.80  % (3774867)------------------------------
% 5.99/1.80  % (3774867)------------------------------
% 5.99/1.80  % (3774859)Refutation found. Thanks to Tanya!
% 5.99/1.80  % SZS status Theorem for theBenchmark
% 5.99/1.80  % SZS output start Proof for theBenchmark
% See solution above
% 6.11/1.80  % (3774859)------------------------------
% 6.11/1.80  % (3774859)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.11/1.80  % (3774859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.11/1.80  % (3774859)CaDiCaL version: 2.1.3
% 6.11/1.80  % (3774859)Termination reason: Refutation
% 6.11/1.80  % (3774859)Time elapsed: 0.159 s
% 6.11/1.80  % (3774859)Peak memory usage: 118 MB
% 6.11/1.80  % (3774859)Instructions burned: 140 (million)
% 6.11/1.80  % (3774859)------------------------------
% 6.11/1.80  % (3774859)------------------------------
% 6.11/1.80  % (3774853)Success in time 0.738 s
% 6.11/1.80  % Vampire exiting
%------------------------------------------------------------------------------