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Vampire-SAT---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : BOO008-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n006.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 09:36:07 AM UTC 2026

% Result   : Unsatisfiable 61.23s 9.06s
% Output   : Refutation 61.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :   18
% Syntax   : Number of formulae    :  116 ( 116 unt;   4 def)
%            Number of atoms       :  116 ( 115 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   9 con; 0-2 aty)
%            Number of variables   :   79 (  79   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] : add(X0,X1) = add(X1,X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',commutativity_of_add) ).

fof(f2,axiom,
    ! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',commutativity_of_multiply) ).

fof(f3,axiom,
    ! [X2,X0,X1] : add(multiply(X0,X1),X2) = multiply(add(X0,X2),add(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',distributivity1) ).

fof(f4,axiom,
    ! [X2,X0,X1] : add(X0,multiply(X1,X2)) = multiply(add(X0,X1),add(X0,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',distributivity2) ).

fof(f5,axiom,
    ! [X2,X0,X1] : multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',distributivity3) ).

fof(f6,axiom,
    ! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',distributivity4) ).

fof(f7,axiom,
    ! [X0] : add(X0,inverse(X0)) = multiplicative_identity,
    file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',additive_inverse1) ).

fof(f8,axiom,
    ! [X0] : add(inverse(X0),X0) = multiplicative_identity,
    file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',additive_inverse2) ).

fof(f9,plain,
    ! [X0] : multiplicative_identity = add(inverse(X0),X0),
    inference(reorient_equations,[],[f8]) ).

fof(f10,axiom,
    ! [X0] : multiply(X0,inverse(X0)) = additive_identity,
    file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',multiplicative_inverse1) ).

fof(f13,axiom,
    ! [X0] : multiply(X0,multiplicative_identity) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',multiplicative_id1) ).

fof(f14,axiom,
    ! [X0] : multiply(multiplicative_identity,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',multiplicative_id2) ).

fof(f15,axiom,
    ! [X0] : add(X0,additive_identity) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',additive_id1) ).

fof(f16,axiom,
    ! [X0] : add(additive_identity,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',additive_id2) ).

fof(f17,negated_conjecture,
    add(a,add(b,c)) != add(add(a,b),c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_associativity) ).

fof(f18,definition,
    sF0 = add(b,c),
    introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).

fof(f19,plain,
    add(b,c) = sF0,
    inference(reorient_equations,[],[f18]) ).

fof(f20,definition,
    sF1 = add(a,sF0),
    introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).

fof(f21,plain,
    add(a,sF0) = sF1,
    inference(reorient_equations,[],[f20]) ).

fof(f22,definition,
    sF2 = add(a,b),
    introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).

fof(f23,plain,
    add(a,b) = sF2,
    inference(reorient_equations,[],[f22]) ).

fof(f24,definition,
    sF3 = add(sF2,c),
    introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).

fof(f25,plain,
    add(sF2,c) = sF3,
    inference(reorient_equations,[],[f24]) ).

fof(f26,plain,
    sF1 != sF3,
    inference(definition_folding,[],[f17,f25,f23,f21,f19]) ).

fof(f27,plain,
    sF3 = add(c,sF2),
    inference(forward_demodulation,[],[f25,f1]) ).

fof(f73,plain,
    ! [X0,X1] : add(multiply(additive_identity,X1),X0) = multiply(X0,add(X1,X0)),
    inference(superposition,[],[f3,f16]) ).

fof(f76,plain,
    ! [X0] : add(multiply(b,X0),c) = multiply(sF0,add(X0,c)),
    inference(superposition,[],[f3,f19]) ).

fof(f82,plain,
    ! [X0,X1] : add(multiply(X0,inverse(X1)),X1) = multiply(add(X0,X1),multiplicative_identity),
    inference(superposition,[],[f3,f9]) ).

fof(f86,plain,
    ! [X0] : add(multiply(X0,b),c) = multiply(add(X0,c),sF0),
    inference(superposition,[],[f3,f19]) ).

fof(f93,plain,
    ! [X0] : multiply(sF0,add(X0,c)) = add(multiply(X0,b),c),
    inference(forward_demodulation,[],[f86,f2]) ).

fof(f97,plain,
    ! [X0,X1] : add(X0,X1) = add(multiply(X0,inverse(X1)),X1),
    inference(forward_demodulation,[],[f82,f13]) ).

fof(f101,plain,
    ! [X0] : multiply(sF0,add(X0,c)) = add(c,multiply(b,X0)),
    inference(forward_demodulation,[],[f76,f1]) ).

fof(f108,plain,
    ! [X0] : multiply(sF0,add(X0,c)) = add(c,multiply(X0,b)),
    inference(forward_demodulation,[],[f93,f1]) ).

fof(f111,plain,
    ! [X0,X1] : add(X0,X1) = add(X1,multiply(X0,inverse(X1))),
    inference(forward_demodulation,[],[f97,f1]) ).

fof(f117,plain,
    ! [X0] : add(X0,additive_identity) = add(X0,X0),
    inference(superposition,[],[f111,f10]) ).

fof(f121,plain,
    ! [X0] : add(X0,inverse(X0)) = add(multiplicative_identity,X0),
    inference(superposition,[],[f111,f14]) ).

fof(f129,plain,
    ! [X0] : multiplicative_identity = add(multiplicative_identity,X0),
    inference(forward_demodulation,[],[f121,f7]) ).

fof(f131,plain,
    ! [X0] : add(X0,X0) = X0,
    inference(forward_demodulation,[],[f117,f15]) ).

fof(f144,plain,
    ! [X0] : add(a,multiply(sF0,X0)) = multiply(sF1,add(a,X0)),
    inference(superposition,[],[f4,f21]) ).

fof(f147,plain,
    ! [X0] : add(c,multiply(sF2,X0)) = multiply(sF3,add(c,X0)),
    inference(superposition,[],[f4,f27]) ).

fof(f158,plain,
    ! [X0] : add(c,multiply(X0,sF2)) = multiply(add(c,X0),sF3),
    inference(superposition,[],[f4,f27]) ).

fof(f165,plain,
    ! [X0] : multiply(sF3,add(c,X0)) = add(c,multiply(X0,sF2)),
    inference(forward_demodulation,[],[f158,f2]) ).

fof(f202,plain,
    ! [X0,X1] : multiply(add(multiplicative_identity,X1),X0) = add(X0,multiply(X1,X0)),
    inference(superposition,[],[f5,f14]) ).

fof(f223,plain,
    ! [X0,X1] : multiply(multiplicative_identity,X0) = add(X0,multiply(X1,X0)),
    inference(forward_demodulation,[],[f202,f129]) ).

fof(f230,plain,
    ! [X0,X1] : add(X0,multiply(X1,X0)) = X0,
    inference(forward_demodulation,[],[f223,f14]) ).

fof(f235,plain,
    ! [X0,X1] : multiply(add(X0,X1),X0) = add(X0,multiply(X1,X0)),
    inference(superposition,[],[f4,f131]) ).

fof(f242,plain,
    ! [X0,X1] : multiply(add(X0,X1),X0) = X0,
    inference(forward_demodulation,[],[f235,f230]) ).

fof(f244,plain,
    ! [X0,X1] : multiply(X0,add(X0,X1)) = X0,
    inference(forward_demodulation,[],[f242,f2]) ).

fof(f246,plain,
    ! [X0,X1] : add(X0,multiply(X0,X1)) = multiply(X0,add(multiplicative_identity,X1)),
    inference(superposition,[],[f6,f13]) ).

fof(f285,plain,
    ! [X0,X1] : multiply(X0,multiplicative_identity) = add(X0,multiply(X0,X1)),
    inference(forward_demodulation,[],[f246,f129]) ).

fof(f289,plain,
    ! [X0,X1] : add(X0,multiply(X0,X1)) = X0,
    inference(forward_demodulation,[],[f285,f13]) ).

fof(f322,plain,
    ! [X0] : additive_identity = multiply(X0,additive_identity),
    inference(superposition,[],[f16,f230]) ).

fof(f332,plain,
    ! [X0] : additive_identity = multiply(additive_identity,X0),
    inference(superposition,[],[f2,f322]) ).

fof(f513,plain,
    a = multiply(a,sF2),
    inference(superposition,[],[f244,f23]) ).

fof(f514,plain,
    b = multiply(b,sF0),
    inference(superposition,[],[f244,f19]) ).

fof(f713,plain,
    add(multiply(additive_identity,a),sF0) = multiply(sF0,sF1),
    inference(superposition,[],[f73,f21]) ).

fof(f714,plain,
    add(multiply(additive_identity,a),b) = multiply(b,sF2),
    inference(superposition,[],[f73,f23]) ).

fof(f715,plain,
    add(multiply(additive_identity,b),c) = multiply(c,sF0),
    inference(superposition,[],[f73,f19]) ).

fof(f716,plain,
    add(multiply(additive_identity,c),sF2) = multiply(sF2,sF3),
    inference(superposition,[],[f73,f27]) ).

fof(f752,plain,
    multiply(sF2,sF3) = add(sF2,multiply(additive_identity,c)),
    inference(forward_demodulation,[],[f716,f1]) ).

fof(f753,plain,
    multiply(c,sF0) = add(c,multiply(additive_identity,b)),
    inference(forward_demodulation,[],[f715,f1]) ).

fof(f754,plain,
    multiply(b,sF2) = add(b,multiply(additive_identity,a)),
    inference(forward_demodulation,[],[f714,f1]) ).

fof(f755,plain,
    multiply(sF0,sF1) = add(sF0,multiply(additive_identity,a)),
    inference(forward_demodulation,[],[f713,f1]) ).

fof(f783,plain,
    multiply(sF2,sF3) = add(sF2,additive_identity),
    inference(forward_demodulation,[],[f752,f332]) ).

fof(f784,plain,
    multiply(c,sF0) = add(c,additive_identity),
    inference(forward_demodulation,[],[f753,f332]) ).

fof(f785,plain,
    multiply(b,sF2) = add(b,additive_identity),
    inference(forward_demodulation,[],[f754,f332]) ).

fof(f786,plain,
    multiply(sF0,sF1) = add(sF0,additive_identity),
    inference(forward_demodulation,[],[f755,f332]) ).

fof(f811,plain,
    sF2 = multiply(sF2,sF3),
    inference(forward_demodulation,[],[f783,f15]) ).

fof(f812,plain,
    c = multiply(c,sF0),
    inference(forward_demodulation,[],[f784,f15]) ).

fof(f813,plain,
    b = multiply(b,sF2),
    inference(forward_demodulation,[],[f785,f15]) ).

fof(f814,plain,
    sF0 = multiply(sF0,sF1),
    inference(forward_demodulation,[],[f786,f15]) ).

fof(f830,plain,
    sF3 = add(sF3,sF2),
    inference(superposition,[],[f230,f811]) ).

fof(f832,plain,
    sF3 = add(sF2,sF3),
    inference(forward_demodulation,[],[f830,f1]) ).

fof(f980,plain,
    ! [X0] : multiply(add(X0,c),sF0) = add(multiply(X0,sF0),c),
    inference(superposition,[],[f5,f812]) ).

fof(f982,plain,
    ! [X0] : multiply(c,add(sF0,X0)) = add(c,multiply(c,X0)),
    inference(superposition,[],[f6,f812]) ).

fof(f984,plain,
    sF0 = add(sF0,c),
    inference(superposition,[],[f230,f812]) ).

fof(f986,plain,
    sF0 = add(c,sF0),
    inference(forward_demodulation,[],[f984,f1]) ).

fof(f988,plain,
    ! [X0] : c = multiply(c,add(sF0,X0)),
    inference(forward_demodulation,[],[f982,f289]) ).

fof(f990,plain,
    ! [X0] : multiply(add(X0,c),sF0) = add(c,multiply(X0,sF0)),
    inference(forward_demodulation,[],[f980,f1]) ).

fof(f992,plain,
    ! [X0] : multiply(sF0,add(X0,c)) = add(c,multiply(X0,sF0)),
    inference(forward_demodulation,[],[f990,f2]) ).

fof(f993,plain,
    ! [X0] : add(c,multiply(X0,b)) = add(c,multiply(X0,sF0)),
    inference(forward_demodulation,[],[f992,f108]) ).

fof(f1092,plain,
    sF1 = add(sF1,sF0),
    inference(superposition,[],[f230,f814]) ).

fof(f1094,plain,
    sF1 = add(sF0,sF1),
    inference(forward_demodulation,[],[f1092,f1]) ).

fof(f1196,plain,
    ! [X0] : add(multiply(X0,sF2),sF3) = multiply(add(X0,sF3),sF3),
    inference(superposition,[],[f3,f832]) ).

fof(f1206,plain,
    ! [X0] : multiply(sF3,add(X0,sF3)) = add(multiply(X0,sF2),sF3),
    inference(forward_demodulation,[],[f1196,f2]) ).

fof(f1211,plain,
    ! [X0] : multiply(sF3,add(X0,sF3)) = add(sF3,multiply(X0,sF2)),
    inference(forward_demodulation,[],[f1206,f1]) ).

fof(f1215,plain,
    ! [X0] : add(multiply(additive_identity,X0),sF3) = add(sF3,multiply(X0,sF2)),
    inference(forward_demodulation,[],[f1211,f73]) ).

fof(f1218,plain,
    ! [X0] : add(sF3,multiply(X0,sF2)) = add(sF3,multiply(additive_identity,X0)),
    inference(forward_demodulation,[],[f1215,f1]) ).

fof(f1220,plain,
    ! [X0] : add(sF3,additive_identity) = add(sF3,multiply(X0,sF2)),
    inference(forward_demodulation,[],[f1218,f332]) ).

fof(f1222,plain,
    ! [X0] : sF3 = add(sF3,multiply(X0,sF2)),
    inference(forward_demodulation,[],[f1220,f15]) ).

fof(f1310,plain,
    ! [X0] : add(c,multiply(b,X0)) = add(c,multiply(X0,b)),
    inference(superposition,[],[f101,f108]) ).

fof(f1983,plain,
    add(a,multiply(sF0,b)) = multiply(sF1,sF2),
    inference(superposition,[],[f144,f23]) ).

fof(f2040,plain,
    multiply(sF1,sF2) = add(a,multiply(b,sF0)),
    inference(forward_demodulation,[],[f1983,f2]) ).

fof(f2061,plain,
    add(a,b) = multiply(sF1,sF2),
    inference(forward_demodulation,[],[f2040,f514]) ).

fof(f2071,plain,
    sF2 = multiply(sF1,sF2),
    inference(forward_demodulation,[],[f2061,f23]) ).

fof(f2376,plain,
    add(c,multiply(sF2,sF0)) = multiply(sF3,sF0),
    inference(superposition,[],[f147,f986]) ).

fof(f2431,plain,
    add(c,multiply(sF2,sF0)) = multiply(sF0,sF3),
    inference(forward_demodulation,[],[f2376,f2]) ).

fof(f2451,plain,
    multiply(sF0,sF3) = add(c,multiply(sF2,b)),
    inference(forward_demodulation,[],[f2431,f993]) ).

fof(f2460,plain,
    multiply(sF0,sF3) = add(c,multiply(b,sF2)),
    inference(forward_demodulation,[],[f2451,f1310]) ).

fof(f2467,plain,
    add(c,b) = multiply(sF0,sF3),
    inference(forward_demodulation,[],[f2460,f813]) ).

fof(f2472,plain,
    add(b,c) = multiply(sF0,sF3),
    inference(forward_demodulation,[],[f2467,f1]) ).

fof(f2475,plain,
    sF0 = multiply(sF0,sF3),
    inference(forward_demodulation,[],[f2472,f19]) ).

fof(f12127,plain,
    c = multiply(c,sF1),
    inference(superposition,[],[f988,f1094]) ).

fof(f12804,plain,
    sF1 = add(sF1,c),
    inference(superposition,[],[f230,f12127]) ).

fof(f12817,plain,
    sF1 = add(c,sF1),
    inference(forward_demodulation,[],[f12804,f1]) ).

fof(f13385,plain,
    multiply(sF3,sF1) = add(c,multiply(sF1,sF2)),
    inference(superposition,[],[f165,f12817]) ).

fof(f13443,plain,
    add(c,sF2) = multiply(sF3,sF1),
    inference(forward_demodulation,[],[f13385,f2071]) ).

fof(f13461,plain,
    add(c,sF2) = multiply(sF1,sF3),
    inference(forward_demodulation,[],[f13443,f2]) ).

fof(f13476,plain,
    sF3 = multiply(sF1,sF3),
    inference(forward_demodulation,[],[f13461,f27]) ).

fof(f26631,plain,
    sF3 = add(sF3,a),
    inference(superposition,[],[f1222,f513]) ).

fof(f26733,plain,
    sF3 = add(a,sF3),
    inference(forward_demodulation,[],[f26631,f1]) ).

fof(f27048,plain,
    multiply(sF1,sF3) = add(a,multiply(sF0,sF3)),
    inference(superposition,[],[f144,f26733]) ).

fof(f27123,plain,
    add(a,sF0) = multiply(sF1,sF3),
    inference(forward_demodulation,[],[f27048,f2475]) ).

fof(f27149,plain,
    add(a,sF0) = sF3,
    inference(forward_demodulation,[],[f27123,f13476]) ).

fof(f27169,plain,
    sF1 = sF3,
    inference(forward_demodulation,[],[f27149,f21]) ).

fof(f27183,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f27169,f26]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : BOO008-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.08  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.27  % Computer : n006.cluster.edu
% 0.11/0.27  % Model    : x86_64 x86_64
% 0.11/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.27  % Memory   : 8046.5625MB
% 0.11/0.27  % OS       : Linux 6.8.0-71-generic
% 0.11/0.27  % CPULimit : 300
% 0.11/0.27  % WCLimit  : 300
% 0.11/0.27  % DateTime : Mon Sep 28 21:03:25 UTC 2026
% 0.23/0.28  % CPUTime  : 
% 0.23/0.28  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.23/0.32  Running first-order model finding
% 0.23/0.33  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 44.56/6.66  % (199015)Will run a generic schedule for satisfiability detection.
% 44.56/6.66  % (199024)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=170700903:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 44.56/6.66  % (199021)% WARNING: option uhcvi not known.
% 44.56/6.66  % (199020)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2206689977_2999 on theBenchmark for (2999ds/0Mi)
% 44.56/6.66  % (199022)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2019189323:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 44.56/6.66  % (199021)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1305306289:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 44.56/6.66  % (199023)dis+10_1_sil=32000:sp=arity:random_seed=3904042319:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 44.56/6.66  % (199025)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1437253907:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 44.56/6.66  % (199026)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1799194873:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 44.56/6.66  % TRYING [1]
% 44.56/6.66  % TRYING [2]
% 44.56/6.66  % TRYING [3]
% 44.56/6.66  % TRYING [4]
% 44.56/6.66  % (199024)Instruction limit reached! 
% 44.56/6.66  % (199024)------------------------------
% 44.56/6.66  % (199024)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.56/6.66  % (199024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.56/6.66  % (199024)CaDiCaL version: 2.1.3
% 44.56/6.66  % (199024)Termination reason: Instruction limit
% 44.56/6.66  % (199024)Termination phase: Saturation
% 44.56/6.66  % (199024)Time elapsed: 0.061 s
% 44.56/6.66  % (199024)Peak memory usage: 12 MB
% 44.56/6.66  % (199024)Instructions burned: 118 (million)
% 44.56/6.66  % TRYING [5]
% 44.56/6.66  % (199034)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1959373279:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 44.56/6.66  % TRYING [1]
% 44.56/6.66  % TRYING [2]
% 44.56/6.66  % TRYING [3]
% 44.56/6.66  % TRYING [4]
% 44.56/6.66  % (199023)Instruction limit reached! 
% 44.56/6.66  % (199023)------------------------------
% 44.56/6.66  % (199023)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.56/6.66  % (199023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.56/6.66  % (199023)CaDiCaL version: 2.1.3
% 44.56/6.66  % (199023)Termination reason: Instruction limit
% 44.56/6.66  % (199023)Termination phase: Saturation
% 44.56/6.66  % (199023)Time elapsed: 0.098 s
% 44.56/6.66  % (199023)Peak memory usage: 12 MB
% 44.56/6.66  % (199023)Instructions burned: 104 (million)
% 44.56/6.66  % TRYING [5]
% 44.56/6.66  % (199036)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=898621882:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 44.56/6.66  % (199025)Instruction limit reached! 
% 44.56/6.66  % (199025)------------------------------
% 44.56/6.66  % (199025)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.56/6.66  % (199025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.56/6.66  % (199025)CaDiCaL version: 2.1.3
% 44.56/6.66  % (199025)Termination reason: Instruction limit
% 44.56/6.66  % (199025)Termination phase: Saturation
% 44.56/6.66  % (199025)Time elapsed: 0.123 s
% 44.56/6.66  % (199025)Peak memory usage: 12 MB
% 44.56/6.66  % (199025)Instructions burned: 131 (million)
% 44.56/6.66  % TRYING [6]
% 44.56/6.66  % (199039)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=849639481:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 44.56/6.66  % (199026)Instruction limit reached! 
% 44.56/6.66  % (199026)------------------------------
% 44.56/6.66  % (199026)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.56/6.66  % (199026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.56/6.66  % (199026)CaDiCaL version: 2.1.3
% 44.56/6.66  % (199026)Termination reason: Instruction limit
% 44.56/6.66  % (199026)Termination phase: Saturation
% 44.56/6.66  % (199026)Time elapsed: 0.161 s
% 44.56/6.66  % (199026)Peak memory usage: 12 MB
% 44.56/6.66  % (199026)Instructions burned: 159 (million)
% 44.56/6.66  % TRYING [6]
% 44.56/6.66  % (199042)ott-21_1_sil=16000:fs=off:random_seed=2954961802:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 44.56/6.66  % (199036)Instruction limit reached! 
% 44.56/6.66  % (199036)------------------------------
% 44.56/6.66  % (199036)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.56/6.66  % (199036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.23/9.06  % (199036)CaDiCaL version: 2.1.3
% 61.23/9.06  % (199036)Termination reason: Instruction limit
% 61.23/9.06  % (199036)Termination phase: Saturation
% 61.23/9.06  % (199036)Time elapsed: 0.087 s
% 61.23/9.06  % (199036)Peak memory usage: 13 MB
% 61.23/9.06  % (199036)Instructions burned: 131 (million)
% 61.23/9.06  % (199044)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1851490613:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 61.23/9.06  % (199042)Instruction limit reached! 
% 61.23/9.06  % (199042)------------------------------
% 61.23/9.06  % (199042)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 61.23/9.06  % (199042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.23/9.06  % (199042)CaDiCaL version: 2.1.3
% 61.23/9.06  % (199042)Termination reason: Instruction limit
% 61.23/9.06  % (199042)Termination phase: Saturation
% 61.23/9.06  % (199042)Time elapsed: 0.150 s
% 61.23/9.06  % (199042)Peak memory usage: 12 MB
% 61.23/9.06  % (199042)Instructions burned: 181 (million)
% 61.23/9.06  % (199050)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3378604301:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 61.23/9.06  % TRYING [1]
% 61.23/9.06  % TRYING [2]
% 61.23/9.06  % TRYING [3]
% 61.23/9.06  % (199034)Instruction limit reached! 
% 61.23/9.06  % (199034)------------------------------
% 61.23/9.06  % (199034)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 61.23/9.06  % (199034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.23/9.06  % (199034)CaDiCaL version: 2.1.3
% 61.23/9.06  % (199034)Termination reason: Instruction limit
% 61.23/9.06  % (199034)Termination phase: Finite model building constraint generation
% 61.23/9.06  % (199034)Time elapsed: 0.329 s
% 61.23/9.06  % (199034)Peak memory usage: 32 MB
% 61.23/9.06  % (199034)Instructions burned: 714 (million)
% 61.23/9.06  % TRYING [4]
% 61.23/9.06  % TRYING [7]
% 61.23/9.06  % (199052)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3847540401:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 61.23/9.06  % TRYING [5]
% 61.23/9.06  % TRYING [6]
% 61.23/9.06  % (199044)Instruction limit reached! 
% 61.23/9.06  % (199044)------------------------------
% 61.23/9.06  % (199044)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 61.23/9.06  % (199044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.23/9.06  % (199044)CaDiCaL version: 2.1.3
% 61.23/9.06  % (199044)Termination reason: Instruction limit
% 61.23/9.06  % (199044)Termination phase: Saturation
% 61.23/9.06  % (199044)Time elapsed: 0.434 s
% 61.23/9.06  % (199044)Peak memory usage: 15 MB
% 61.23/9.06  % (199044)Instructions burned: 477 (million)
% 61.23/9.06  % (199054)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1098139796:i=889:ins=1_2992 on theBenchmark for (2992ds/889Mi)
% 61.23/9.06  % (199050)Instruction limit reached! 
% 61.23/9.06  % (199050)------------------------------
% 61.23/9.06  % (199050)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 61.23/9.06  % (199050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.23/9.06  % (199050)CaDiCaL version: 2.1.3
% 61.23/9.06  % (199050)Termination reason: Instruction limit
% 61.23/9.06  % (199050)Termination phase: Finite model building SAT solving
% 61.23/9.06  % (199050)Time elapsed: 0.323 s
% 61.23/9.06  % (199050)Peak memory usage: 25 MB
% 61.23/9.06  % (199050)Instructions burned: 868 (million)
% 61.23/9.06  % (199056)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3575680202:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2992 on theBenchmark for (2992ds/692Mi)
% 61.23/9.06  % (199039)Instruction limit reached! 
% 61.23/9.06  % (199039)------------------------------
% 61.23/9.06  % (199039)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 61.23/9.06  % (199039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.23/9.06  % (199039)CaDiCaL version: 2.1.3
% 61.23/9.06  % (199039)Termination reason: Instruction limit
% 61.23/9.06  % (199039)Termination phase: Saturation
% 61.23/9.06  % (199039)Time elapsed: 0.631 s
% 61.23/9.06  % (199039)Peak memory usage: 18 MB
% 61.23/9.06  % (199039)Instructions burned: 685 (million)
% 61.23/9.06  % (199058)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=112088890:i=879:kws=inv_precedence:fsr=off_2991 on theBenchmark for (2991ds/879Mi)
% 61.23/9.06  % TRYING [14]
% 61.23/9.06  % (199056)Instruction limit reached! 
% 61.23/9.06  % (199056)------------------------------
% 61.23/9.06  % (199056)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 61.23/9.06  % (199056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.23/9.06  % (199056)CaDiCaL version: 2.1.3
% 61.23/9.06  % (199056)Termination reason: Instruction limit
% 61.23/9.06  % (199056)Termination phase: Saturation
% 61.23/9.06  % (199056)Time elapsed: 0.340 s
% 61.23/9.06  % (199056)Peak memory usage: 18 MB
% 61.23/9.06  % (199056)Instructions burned: 693 (million)
% 61.23/9.06  % (199061)fmb+10_1_sil=64000:random_seed=1558675399:i=22061:nm=2:gsp=on_2989 on theBenchmark for (2989ds/22061Mi)
% 61.23/9.06  % TRYING [1]
% 61.23/9.06  % TRYING [2]
% 61.23/9.06  % TRYING [3]
% 61.23/9.06  % TRYING [4]
% 61.23/9.06  % TRYING [5]
% 61.23/9.06  % TRYING [8]
% 61.23/9.06  % TRYING [6]
% 61.23/9.06  % (199054)Instruction limit reached! 
% 61.23/9.06  % (199054)------------------------------
% 61.23/9.06  % (199054)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 61.23/9.06  % (199054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.23/9.06  % (199054)CaDiCaL version: 2.1.3
% 61.23/9.06  % (199054)Termination reason: Instruction limit
% 61.23/9.06  % (199054)Termination phase: Finite model building constraint generation
% 61.23/9.06  % (199054)Time elapsed: 0.690 s
% 61.23/9.06  % (199054)Peak memory usage: 85 MB
% 61.23/9.06  % (199054)Instructions burned: 889 (million)
% 61.23/9.06  % (199064)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3785926242:i=9515:nm=5_2985 on theBenchmark for (2985ds/9515Mi)
% 61.23/9.06  % TRYING [20]
% 61.23/9.06  % (199052)Instruction limit reached! 
% 61.23/9.06  % (199052)------------------------------
% 61.23/9.06  % (199052)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 61.23/9.06  % (199052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.23/9.06  % (199052)CaDiCaL version: 2.1.3
% 61.23/9.06  % (199052)Termination reason: Instruction limit
% 61.23/9.06  % (199052)Termination phase: Saturation
% 61.23/9.06  % (199052)Time elapsed: 1.113 s
% 61.23/9.06  % (199052)Peak memory usage: 20 MB
% 61.23/9.06  % (199052)Instructions burned: 1179 (million)
% 61.23/9.06  % (199058)Instruction limit reached! 
% 61.23/9.06  % (199058)------------------------------
% 61.23/9.06  % (199058)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 61.23/9.06  % (199058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.23/9.06  % (199058)CaDiCaL version: 2.1.3
% 61.23/9.06  % (199058)Termination reason: Instruction limit
% 61.23/9.06  % (199058)Termination phase: Saturation
% 61.23/9.06  % (199058)Time elapsed: 0.744 s
% 61.23/9.06  % (199058)Peak memory usage: 19 MB
% 61.23/9.06  % (199058)Instructions burned: 879 (million)
% 61.23/9.06  % (199067)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=166620912:i=5131_2984 on theBenchmark for (2984ds/5131Mi)
% 61.23/9.06  % (199066)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2043961364:fmbsr=1.7:i=920_2984 on theBenchmark for (2984ds/920Mi)
% 61.23/9.06  % TRYING [8]
% 61.23/9.06  % TRYING [7]
% 61.23/9.06  % (199066)Instruction limit reached! 
% 61.23/9.06  % (199066)------------------------------
% 61.23/9.06  % (199066)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 61.23/9.06  % (199066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.23/9.06  % (199066)CaDiCaL version: 2.1.3
% 61.23/9.06  % (199066)Termination reason: Instruction limit
% 61.23/9.06  % (199066)Termination phase: Finite model building constraint generation
% 61.23/9.06  % (199066)Time elapsed: 0.714 s
% 61.23/9.06  % (199066)Peak memory usage: 67 MB
% 61.23/9.06  % (199066)Instructions burned: 920 (million)
% 61.23/9.06  % (199070)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=107262483:i=1472:ins=7:fdi=8:gsp=on_2976 on theBenchmark for (2976ds/1472Mi)
% 61.23/9.06  % TRYING [8]
% 61.23/9.06  % (199070)Instruction limit reached! 
% 61.23/9.06  % (199070)------------------------------
% 61.23/9.06  % (199070)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 61.23/9.06  % (199070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.23/9.06  % (199070)CaDiCaL version: 2.1.3
% 61.23/9.06  % (199070)Termination reason: Instruction limit
% 61.23/9.06  % (199070)Termination phase: Saturation
% 61.23/9.06  % (199070)Time elapsed: 1.309 s
% 61.23/9.06  % (199070)Peak memory usage: 28 MB
% 61.23/9.06  % (199070)Instructions burned: 1473 (million)
% 61.23/9.06  % TRYING [9]
% 61.23/9.06  % (199074)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=4201777418:i=6324_2963 on theBenchmark for (2963ds/6324Mi)
% 61.23/9.06  % TRYING [77]
% 61.23/9.06  % TRYING [9]
% 61.23/9.06  % (199067)Instruction limit reached! 
% 61.23/9.06  % (199067)------------------------------
% 61.23/9.06  % (199067)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 61.23/9.06  % (199067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.23/9.06  % (199067)CaDiCaL version: 2.1.3
% 61.23/9.06  % (199067)Termination reason: Instruction limit
% 61.23/9.06  % (199067)Termination phase: Saturation
% 61.23/9.06  % (199067)Time elapsed: 4.706 s
% 61.23/9.06  % (199067)Peak memory usage: 48 MB
% 61.23/9.06  % (199067)Instructions burned: 5135 (million)
% 61.23/9.06  % (199080)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3372688566:fmbsr=2.30978:i=2174_2936 on theBenchmark for (2936ds/2174Mi)
% 61.23/9.06  % TRYING [16]
% 61.23/9.06  % (199080)Instruction limit reached! 
% 61.23/9.06  % (199080)------------------------------
% 61.23/9.06  % (199080)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 61.23/9.06  % (199080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.23/9.06  % (199080)CaDiCaL version: 2.1.3
% 61.23/9.06  % (199080)Termination reason: Instruction limit
% 61.23/9.06  % (199080)Termination phase: Finite model building constraint generation
% 61.23/9.06  % (199080)Time elapsed: 1.328 s
% 61.23/9.06  % (199080)Peak memory usage: 133 MB
% 61.23/9.06  % (199080)Instructions burned: 2175 (million)
% 61.23/9.06  % (199089)ott-2_1_sil=16000:newcnf=on:random_seed=3590832955:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2923 on theBenchmark for (2923ds/869Mi)
% 61.23/9.06  % (199074)Instruction limit reached! 
% 61.23/9.06  % (199074)------------------------------
% 61.23/9.06  % (199074)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 61.23/9.06  % (199074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.23/9.06  % (199074)CaDiCaL version: 2.1.3
% 61.23/9.06  % (199074)Termination reason: Instruction limit
% 61.23/9.06  % (199074)Termination phase: Finite model building constraint generation
% 61.23/9.06  % (199074)Time elapsed: 4.307 s
% 61.23/9.06  % (199074)Peak memory usage: 450 MB
% 61.23/9.06  % (199074)Instructions burned: 6326 (million)
% 61.23/9.06  % (199064)Instruction limit reached! 
% 61.23/9.06  % (199064)------------------------------
% 61.23/9.06  % (199064)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 61.23/9.06  % (199064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.23/9.06  % (199064)CaDiCaL version: 2.1.3
% 61.23/9.06  % (199064)Termination reason: Instruction limit
% 61.23/9.06  % (199064)Termination phase: Finite model building constraint generation
% 61.23/9.06  % (199064)Time elapsed: 6.604 s
% 61.23/9.06  % (199064)Peak memory usage: 666 MB
% 61.23/9.06  % (199064)Instructions burned: 9516 (million)
% 61.23/9.06  % (199196)ott+10_1_sil=32000:tgt=ground:random_seed=2403958651:i=5114:av=off_2919 on theBenchmark for (2919ds/5114Mi)
% 61.23/9.06  % (199203)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2556183815:i=54282_2918 on theBenchmark for (2918ds/54282Mi)
% 61.23/9.06  % TRYING [1]
% 61.23/9.06  % TRYING [2]
% 61.23/9.06  % TRYING [3]
% 61.23/9.06  % TRYING [4]
% 61.23/9.06  % TRYING [5]
% 61.23/9.06  % (199089)Instruction limit reached! 
% 61.23/9.06  % (199089)------------------------------
% 61.23/9.06  % (199089)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 61.23/9.06  % (199089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.23/9.06  % (199089)CaDiCaL version: 2.1.3
% 61.23/9.06  % (199089)Termination reason: Instruction limit
% 61.23/9.06  % (199089)Termination phase: Saturation
% 61.23/9.06  % (199089)Time elapsed: 0.513 s
% 61.23/9.06  % (199089)Peak memory usage: 20 MB
% 61.23/9.06  % (199089)Instructions burned: 870 (million)
% 61.23/9.06  % (199243)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1027223891:i=3512:aac=none_2917 on theBenchmark for (2917ds/3512Mi)
% 61.23/9.06  % TRYING [6]
% 61.23/9.06  % TRYING [7]
% 61.23/9.06  % (199196) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-199015-199196"...
% 61.23/9.06  % (199196)...printing done.
% 61.23/9.06  % (199196)Refutation found. Thanks to Tanya!
% 61.23/9.06  % SZS status Unsatisfiable for theBenchmark
% 61.23/9.06  % SZS output start Proof for theBenchmark
% See solution above
% 61.23/9.07  % (199196)------------------------------
% 61.23/9.07  % (199196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 61.23/9.07  % (199196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.23/9.07  % (199196)CaDiCaL version: 2.1.3
% 61.23/9.07  % (199196)Termination reason: Refutation
% 61.23/9.07  % (199196)Time elapsed: 0.572 s
% 61.23/9.07  % (199196)Peak memory usage: 22 MB
% 61.23/9.07  % (199196)Instructions burned: 987 (million)
% 61.23/9.07  % (199015)Success in time 8.724 s
% 61.23/9.07  % Vampire exiting
%------------------------------------------------------------------------------