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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : KLE084+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n002.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 11:40:50 AM UTC 2026

% Result   : Theorem 7.10s 1.70s
% Output   : Refutation 8.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   23
% Syntax   : Number of formulae    :  112 ( 112 unt;   8 def)
%            Number of atoms       :  112 ( 111 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    9 (   9   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;  12 con; 0-2 aty)
%            Number of variables   :   88 (  86   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_commutativity) ).

fof(f2,axiom,
    ! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_associativity) ).

fof(f3,axiom,
    ! [X0] : addition(X0,zero) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_identity) ).

fof(f4,axiom,
    ! [X0] : addition(X0,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_idempotence) ).

fof(f5,axiom,
    ! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_associativity) ).

fof(f6,axiom,
    ! [X0] : multiplication(X0,one) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_right_identity) ).

fof(f7,axiom,
    ! [X0] : multiplication(one,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_left_identity) ).

fof(f8,axiom,
    ! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',right_distributivity) ).

fof(f9,axiom,
    ! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',left_distributivity) ).

fof(f11,axiom,
    ! [X0] : multiplication(zero,X0) = zero,
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',left_annihilation) ).

fof(f13,axiom,
    ! [X0] : multiplication(antidomain(X0),X0) = zero,
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+4.ax',domain1) ).

fof(f14,axiom,
    ! [X0,X1] : addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+4.ax',domain2) ).

fof(f15,axiom,
    ! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+4.ax',domain3) ).

fof(f16,axiom,
    ! [X0] : domain(X0) = antidomain(antidomain(X0)),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+4.ax',domain4) ).

fof(f21,conjecture,
    ! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

fof(f22,negated_conjecture,
    ~ ! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
    inference(negated_conjecture,[status(cth)],[f21]) ).

fof(f23,plain,
    ? [X0,X1] : domain(multiplication(X0,X1)) != domain(multiplication(X0,domain(X1))),
    inference(ennf_transformation,[],[f22]) ).

fof(f24,plain,
    domain(multiplication(sK0,sK1)) != domain(multiplication(sK0,domain(sK1))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f23]) ).

fof(f25,plain,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f26,plain,
    ! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
    inference(cnf_transformation,[],[f2]) ).

fof(f27,plain,
    ! [X0] : addition(X0,zero) = X0,
    inference(cnf_transformation,[],[f3]) ).

fof(f28,plain,
    ! [X0] : addition(X0,X0) = X0,
    inference(cnf_transformation,[],[f4]) ).

fof(f29,plain,
    ! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
    inference(cnf_transformation,[],[f5]) ).

fof(f30,plain,
    ! [X0] : multiplication(X0,one) = X0,
    inference(cnf_transformation,[],[f6]) ).

fof(f31,plain,
    ! [X0] : multiplication(one,X0) = X0,
    inference(cnf_transformation,[],[f7]) ).

fof(f32,plain,
    ! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
    inference(cnf_transformation,[],[f8]) ).

fof(f33,plain,
    ! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
    inference(cnf_transformation,[],[f9]) ).

fof(f35,plain,
    ! [X0] : zero = multiplication(zero,X0),
    inference(cnf_transformation,[],[f11]) ).

fof(f36,plain,
    ! [X0] : zero = multiplication(antidomain(X0),X0),
    inference(cnf_transformation,[],[f13]) ).

fof(f37,plain,
    ! [X0,X1] : antidomain(multiplication(X0,antidomain(antidomain(X1)))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),
    inference(cnf_transformation,[],[f14]) ).

fof(f38,plain,
    ! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
    inference(cnf_transformation,[],[f15]) ).

fof(f39,plain,
    ! [X0] : antidomain(antidomain(X0)) = domain(X0),
    inference(cnf_transformation,[],[f16]) ).

fof(f44,plain,
    domain(multiplication(sK0,sK1)) != domain(multiplication(sK0,domain(sK1))),
    inference(cnf_transformation,[],[f24]) ).

fof(f45,plain,
    antidomain(antidomain(multiplication(sK0,sK1))) != antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1))))),
    inference(definition_unfolding,[],[f44,f39,f39,f39]) ).

fof(f46,definition,
    sF2 = multiplication(sK0,sK1),
    introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).

fof(f47,plain,
    multiplication(sK0,sK1) = sF2,
    inference(reorient_equations,[],[f46]) ).

fof(f48,definition,
    sF3 = antidomain(sF2),
    introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).

fof(f49,plain,
    antidomain(sF2) = sF3,
    inference(reorient_equations,[],[f48]) ).

fof(f50,definition,
    sF4 = antidomain(sF3),
    introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).

fof(f51,plain,
    antidomain(sF3) = sF4,
    inference(reorient_equations,[],[f50]) ).

fof(f52,definition,
    sF5 = antidomain(sK1),
    introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).

fof(f53,plain,
    antidomain(sK1) = sF5,
    inference(reorient_equations,[],[f52]) ).

fof(f54,definition,
    sF6 = antidomain(sF5),
    introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).

fof(f55,plain,
    antidomain(sF5) = sF6,
    inference(reorient_equations,[],[f54]) ).

fof(f56,definition,
    sF7 = multiplication(sK0,sF6),
    introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).

fof(f57,plain,
    multiplication(sK0,sF6) = sF7,
    inference(reorient_equations,[],[f56]) ).

fof(f58,definition,
    sF8 = antidomain(sF7),
    introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).

fof(f59,plain,
    antidomain(sF7) = sF8,
    inference(reorient_equations,[],[f58]) ).

fof(f60,definition,
    sF9 = antidomain(sF8),
    introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).

fof(f61,plain,
    antidomain(sF8) = sF9,
    inference(reorient_equations,[],[f60]) ).

fof(f62,plain,
    sF4 != sF9,
    inference(definition_folding,[],[f45,f61,f59,f57,f55,f53,f51,f49,f47]) ).

fof(f63,plain,
    sF4 != antidomain(sF8),
    inference(superposition,[],[f62,f61]) ).

fof(f64,plain,
    antidomain(sF3) != antidomain(sF8),
    inference(forward_demodulation,[],[f63,f51]) ).

fof(f68,plain,
    zero = multiplication(sF8,sF7),
    inference(superposition,[],[f36,f59]) ).

fof(f70,plain,
    zero = antidomain(one),
    inference(superposition,[],[f30,f36]) ).

fof(f77,plain,
    ! [X0] : addition(zero,X0) = X0,
    inference(superposition,[],[f27,f25]) ).

fof(f79,plain,
    one = addition(antidomain(zero),zero),
    inference(superposition,[],[f38,f70]) ).

fof(f81,plain,
    one = addition(antidomain(sF3),sF3),
    inference(superposition,[],[f38,f49]) ).

fof(f87,plain,
    ! [X0] : one = addition(antidomain(X0),antidomain(antidomain(X0))),
    inference(superposition,[],[f25,f38]) ).

fof(f90,plain,
    one = addition(sF3,antidomain(sF3)),
    inference(forward_demodulation,[],[f81,f25]) ).

fof(f92,plain,
    one = antidomain(zero),
    inference(forward_demodulation,[],[f79,f27]) ).

fof(f109,plain,
    ! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
    inference(superposition,[],[f26,f28]) ).

fof(f133,plain,
    ! [X0] : multiplication(sK0,multiplication(sF6,X0)) = multiplication(sF7,X0),
    inference(superposition,[],[f29,f57]) ).

fof(f157,plain,
    ! [X0,X1] : multiplication(X0,one) = addition(multiplication(X0,antidomain(antidomain(X1))),multiplication(X0,antidomain(X1))),
    inference(superposition,[],[f32,f38]) ).

fof(f167,plain,
    ! [X0,X1] : zero = addition(multiplication(antidomain(addition(X0,X1)),X0),multiplication(antidomain(addition(X0,X1)),X1)),
    inference(superposition,[],[f36,f32]) ).

fof(f176,plain,
    ! [X0,X1] : multiplication(X0,one) = addition(multiplication(X0,antidomain(X1)),multiplication(X0,antidomain(antidomain(X1)))),
    inference(forward_demodulation,[],[f157,f25]) ).

fof(f185,plain,
    ! [X0,X1] : addition(multiplication(X0,antidomain(X1)),multiplication(X0,antidomain(antidomain(X1)))) = X0,
    inference(forward_demodulation,[],[f176,f30]) ).

fof(f199,plain,
    ! [X0,X1] : multiplication(one,X1) = addition(multiplication(antidomain(antidomain(X0)),X1),multiplication(antidomain(X0),X1)),
    inference(superposition,[],[f33,f38]) ).

fof(f218,plain,
    ! [X0,X1] : multiplication(one,X1) = addition(multiplication(antidomain(X0),X1),multiplication(antidomain(antidomain(X0)),X1)),
    inference(forward_demodulation,[],[f199,f25]) ).

fof(f227,plain,
    ! [X0,X1] : addition(multiplication(antidomain(X0),X1),multiplication(antidomain(antidomain(X0)),X1)) = X1,
    inference(forward_demodulation,[],[f218,f31]) ).

fof(f239,plain,
    ! [X0] : multiplication(zero,X0) = multiplication(sF8,multiplication(sF7,X0)),
    inference(superposition,[],[f29,f68]) ).

fof(f240,plain,
    ! [X0] : zero = multiplication(sF8,multiplication(sF7,X0)),
    inference(forward_demodulation,[],[f239,f35]) ).

fof(f250,plain,
    antidomain(multiplication(sK0,antidomain(antidomain(sK1)))) = addition(antidomain(sF2),antidomain(multiplication(sK0,antidomain(antidomain(sK1))))),
    inference(superposition,[],[f37,f47]) ).

fof(f283,plain,
    antidomain(multiplication(sK0,antidomain(sF5))) = addition(antidomain(sF2),antidomain(multiplication(sK0,antidomain(sF5)))),
    inference(forward_demodulation,[],[f250,f53]) ).

fof(f302,plain,
    antidomain(multiplication(sK0,sF6)) = addition(antidomain(sF2),antidomain(multiplication(sK0,sF6))),
    inference(forward_demodulation,[],[f283,f55]) ).

fof(f309,plain,
    antidomain(sF7) = addition(antidomain(sF2),antidomain(sF7)),
    inference(forward_demodulation,[],[f302,f57]) ).

fof(f312,plain,
    sF8 = addition(antidomain(sF2),sF8),
    inference(forward_demodulation,[],[f309,f59]) ).

fof(f314,plain,
    sF8 = addition(sF8,antidomain(sF2)),
    inference(forward_demodulation,[],[f312,f25]) ).

fof(f315,plain,
    sF8 = addition(sF8,sF3),
    inference(forward_demodulation,[],[f314,f49]) ).

fof(f316,plain,
    sF8 = addition(sF3,sF8),
    inference(forward_demodulation,[],[f315,f25]) ).

fof(f395,plain,
    ! [X0] : multiplication(X0,one) = addition(multiplication(X0,sF3),multiplication(X0,antidomain(sF3))),
    inference(superposition,[],[f32,f90]) ).

fof(f397,plain,
    ! [X0] : addition(multiplication(X0,sF3),multiplication(X0,antidomain(sF3))) = X0,
    inference(forward_demodulation,[],[f395,f30]) ).

fof(f544,plain,
    ! [X0] : one = addition(antidomain(X0),one),
    inference(superposition,[],[f109,f87]) ).

fof(f569,plain,
    ! [X0] : one = addition(one,antidomain(X0)),
    inference(forward_demodulation,[],[f544,f25]) ).

fof(f1661,plain,
    ! [X0] : addition(zero,multiplication(antidomain(antidomain(X0)),X0)) = X0,
    inference(superposition,[],[f227,f36]) ).

fof(f1720,plain,
    ! [X0] : multiplication(antidomain(antidomain(X0)),X0) = X0,
    inference(forward_demodulation,[],[f1661,f77]) ).

fof(f1736,plain,
    sK1 = multiplication(antidomain(sF5),sK1),
    inference(superposition,[],[f1720,f53]) ).

fof(f1753,plain,
    ! [X0] : antidomain(antidomain(antidomain(X0))) = addition(antidomain(X0),multiplication(antidomain(antidomain(antidomain(X0))),antidomain(antidomain(X0)))),
    inference(superposition,[],[f185,f1720]) ).

fof(f1759,plain,
    ! [X0] : antidomain(antidomain(antidomain(X0))) = addition(antidomain(X0),zero),
    inference(forward_demodulation,[],[f1753,f36]) ).

fof(f1767,plain,
    sK1 = multiplication(sF6,sK1),
    inference(forward_demodulation,[],[f1736,f55]) ).

fof(f1770,plain,
    ! [X0] : antidomain(X0) = antidomain(antidomain(antidomain(X0))),
    inference(forward_demodulation,[],[f1759,f27]) ).

fof(f1801,plain,
    multiplication(sK0,sK1) = multiplication(sF7,sK1),
    inference(superposition,[],[f133,f1767]) ).

fof(f1809,plain,
    sF2 = multiplication(sF7,sK1),
    inference(forward_demodulation,[],[f1801,f47]) ).

fof(f1837,plain,
    zero = multiplication(sF8,sF2),
    inference(superposition,[],[f240,f1809]) ).

fof(f2071,plain,
    antidomain(multiplication(sF8,antidomain(antidomain(sF2)))) = addition(antidomain(zero),antidomain(multiplication(sF8,antidomain(antidomain(sF2))))),
    inference(superposition,[],[f37,f1837]) ).

fof(f2074,plain,
    antidomain(multiplication(sF8,antidomain(sF3))) = addition(antidomain(zero),antidomain(multiplication(sF8,antidomain(sF3)))),
    inference(forward_demodulation,[],[f2071,f49]) ).

fof(f2077,plain,
    antidomain(multiplication(sF8,antidomain(sF3))) = addition(one,antidomain(multiplication(sF8,antidomain(sF3)))),
    inference(forward_demodulation,[],[f2074,f92]) ).

fof(f2079,plain,
    one = antidomain(multiplication(sF8,antidomain(sF3))),
    inference(forward_demodulation,[],[f2077,f569]) ).

fof(f2474,plain,
    ! [X0,X1] : zero = addition(multiplication(antidomain(addition(X0,X1)),X0),zero),
    inference(superposition,[],[f109,f167]) ).

fof(f2487,plain,
    ! [X0,X1] : zero = multiplication(antidomain(addition(X0,X1)),X0),
    inference(forward_demodulation,[],[f2474,f27]) ).

fof(f9854,plain,
    sF8 = antidomain(antidomain(sF8)),
    inference(superposition,[],[f1770,f59]) ).

fof(f10464,plain,
    zero = multiplication(antidomain(sF8),sF3),
    inference(superposition,[],[f2487,f316]) ).

fof(f11962,plain,
    sF3 = addition(zero,multiplication(antidomain(antidomain(sF8)),sF3)),
    inference(superposition,[],[f227,f10464]) ).

fof(f12015,plain,
    sF3 = multiplication(antidomain(antidomain(sF8)),sF3),
    inference(forward_demodulation,[],[f11962,f77]) ).

fof(f12031,plain,
    sF3 = multiplication(sF8,sF3),
    inference(forward_demodulation,[],[f12015,f9854]) ).

fof(f18171,plain,
    zero = multiplication(one,multiplication(sF8,antidomain(sF3))),
    inference(superposition,[],[f36,f2079]) ).

fof(f18208,plain,
    zero = multiplication(sF8,antidomain(sF3)),
    inference(forward_demodulation,[],[f18171,f31]) ).

fof(f18274,plain,
    sF8 = addition(sF3,multiplication(sF8,antidomain(sF3))),
    inference(superposition,[],[f397,f12031]) ).

fof(f18345,plain,
    sF8 = addition(sF3,zero),
    inference(forward_demodulation,[],[f18274,f18208]) ).

fof(f18375,plain,
    sF3 = sF8,
    inference(forward_demodulation,[],[f18345,f27]) ).

fof(f18429,plain,
    antidomain(sF3) != antidomain(sF3),
    inference(superposition,[],[f64,f18375]) ).

fof(f18462,plain,
    $false,
    inference(trivial_inequality_removal,[],[f18429]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : KLE084+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.16/0.42  % Computer : n002.cluster.edu
% 0.16/0.42  % Model    : x86_64 x86_64
% 0.16/0.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42  % Memory   : 8046.5625MB
% 0.16/0.42  % OS       : Linux 6.8.0-71-generic
% 0.16/0.42  % CPULimit : 300
% 0.16/0.42  % WCLimit  : 300
% 0.16/0.42  % DateTime : Sun Sep 27 13:12:07 UTC 2026
% 0.16/0.42  % CPUTime  : 
% 0.16/0.42  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.22/0.47  Running first-order model finding
% 0.22/0.47  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
% 7.10/1.70  % (3515909)Will run a generic schedule for satisfiability detection.
% 7.10/1.70  % (3515917)dis+10_1_sil=32000:sp=arity:random_seed=1768630490:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.10/1.70  % (3515915)% WARNING: option uhcvi not known.
% 7.10/1.70  % (3515916)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3140457931:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.10/1.70  % (3515920)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=476876370:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.10/1.70  % (3515918)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1955943295:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.10/1.70  % (3515914)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3994122811_2999 on theBenchmark for (2999ds/0Mi)
% 7.10/1.70  % (3515919)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4203487052:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.10/1.70  % (3515915)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3049073778:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.10/1.70  % TRYING [1]
% 7.10/1.70  % TRYING [2]
% 7.10/1.70  % TRYING [3]
% 7.10/1.70  % TRYING [4]
% 7.10/1.70  % (3515917)Instruction limit reached! 
% 7.10/1.70  % (3515917)------------------------------
% 7.10/1.70  % (3515917)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.10/1.70  % (3515917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.10/1.70  % (3515917)CaDiCaL version: 2.1.3
% 7.10/1.70  % (3515917)Termination reason: Instruction limit
% 7.10/1.70  % (3515917)Termination phase: Saturation
% 7.10/1.70  % (3515917)Time elapsed: 0.051 s
% 7.10/1.70  % (3515917)Peak memory usage: 12 MB
% 7.10/1.70  % (3515917)Instructions burned: 105 (million)
% 7.10/1.70  % TRYING [5]
% 7.10/1.70  % (3515928)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=531850378:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 7.10/1.70  % TRYING [1]
% 7.10/1.70  % TRYING [2]
% 7.10/1.70  % TRYING [3]
% 7.10/1.70  % TRYING [4]
% 7.10/1.70  % TRYING [5]
% 7.10/1.70  % (3515918)Instruction limit reached! 
% 7.10/1.70  % (3515918)------------------------------
% 7.10/1.70  % (3515918)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.10/1.70  % (3515918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.10/1.70  % (3515918)CaDiCaL version: 2.1.3
% 7.10/1.70  % (3515918)Termination reason: Instruction limit
% 7.10/1.70  % (3515918)Termination phase: Saturation
% 7.10/1.70  % (3515918)Time elapsed: 0.112 s
% 7.10/1.70  % (3515918)Peak memory usage: 13 MB
% 7.10/1.70  % (3515918)Instructions burned: 116 (million)
% 7.10/1.70  % (3515919)Instruction limit reached! 
% 7.10/1.70  % (3515919)------------------------------
% 7.10/1.70  % (3515919)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.10/1.70  % (3515919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.10/1.70  % (3515919)CaDiCaL version: 2.1.3
% 7.10/1.70  % (3515919)Termination reason: Instruction limit
% 7.10/1.70  % (3515919)Termination phase: Saturation
% 7.10/1.70  % (3515919)Time elapsed: 0.127 s
% 7.10/1.70  % (3515919)Peak memory usage: 13 MB
% 7.10/1.70  % (3515919)Instructions burned: 132 (million)
% 7.10/1.70  % (3515920)Instruction limit reached! 
% 7.10/1.70  % (3515920)------------------------------
% 7.10/1.70  % (3515920)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.10/1.70  % (3515920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.10/1.70  % (3515920)CaDiCaL version: 2.1.3
% 7.10/1.70  % (3515920)Termination reason: Instruction limit
% 7.10/1.70  % (3515920)Termination phase: Saturation
% 7.10/1.70  % (3515920)Time elapsed: 0.152 s
% 7.10/1.70  % (3515920)Peak memory usage: 12 MB
% 7.10/1.70  % (3515920)Instructions burned: 159 (million)
% 7.10/1.70  % (3515930)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1639291673:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 7.10/1.70  % (3515931)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=329741098:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.10/1.70  % TRYING [6]
% 7.10/1.70  % TRYING [6]
% 7.10/1.70  % (3515933)ott-21_1_sil=16000:fs=off:random_seed=1330793193:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.10/1.70  % (3515930)Instruction limit reached! 
% 7.10/1.70  % (3515930)------------------------------
% 7.10/1.70  % (3515930)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.10/1.70  % (3515930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.10/1.70  % (3515930)CaDiCaL version: 2.1.3
% 7.10/1.70  % (3515930)Termination reason: Instruction limit
% 7.10/1.70  % (3515930)Termination phase: Saturation
% 7.10/1.70  % (3515930)Time elapsed: 0.143 s
% 7.10/1.70  % (3515930)Peak memory usage: 13 MB
% 7.10/1.70  % (3515930)Instructions burned: 131 (million)
% 7.10/1.70  % (3515936)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=777962460:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 7.10/1.70  % (3515933)Instruction limit reached! 
% 7.10/1.70  % (3515933)------------------------------
% 7.10/1.70  % (3515933)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.10/1.70  % (3515933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.10/1.70  % (3515933)CaDiCaL version: 2.1.3
% 7.10/1.70  % (3515933)Termination reason: Instruction limit
% 7.10/1.70  % (3515933)Termination phase: Saturation
% 7.10/1.70  % (3515933)Time elapsed: 0.147 s
% 7.10/1.70  % (3515933)Peak memory usage: 12 MB
% 7.10/1.70  % (3515933)Instructions burned: 181 (million)
% 7.10/1.70  % (3515928)Instruction limit reached! 
% 7.10/1.70  % (3515928)------------------------------
% 7.10/1.70  % (3515928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.10/1.70  % (3515928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.10/1.70  % (3515928)CaDiCaL version: 2.1.3
% 7.10/1.70  % (3515928)Termination reason: Instruction limit
% 7.10/1.70  % (3515928)Termination phase: Finite model building SAT solving
% 7.10/1.70  % (3515928)Time elapsed: 0.293 s
% 7.10/1.70  % (3515928)Peak memory usage: 34 MB
% 7.10/1.70  % (3515928)Instructions burned: 714 (million)
% 7.10/1.70  % (3515938)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=162842399:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 7.10/1.70  % TRYING [1]
% 7.10/1.70  % TRYING [2]
% 7.10/1.70  % TRYING [3]
% 7.10/1.70  % TRYING [4]
% 7.10/1.70  % (3515939)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2984507541:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 7.10/1.70  % TRYING [5]
% 7.10/1.70  % TRYING [7]
% 7.10/1.70  % TRYING [6]
% 7.10/1.70  % (3515938)Instruction limit reached! 
% 7.10/1.70  % (3515938)------------------------------
% 7.10/1.70  % (3515938)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.10/1.70  % (3515938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.10/1.70  % (3515938)CaDiCaL version: 2.1.3
% 7.10/1.70  % (3515938)Termination reason: Instruction limit
% 7.10/1.70  % (3515938)Termination phase: Finite model building SAT solving
% 7.10/1.70  % (3515938)Time elapsed: 0.329 s
% 7.10/1.70  % (3515938)Peak memory usage: 27 MB
% 7.10/1.70  % (3515938)Instructions burned: 866 (million)
% 7.10/1.70  % (3515942)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4101242719:i=889:ins=1_2992 on theBenchmark for (2992ds/889Mi)
% 7.10/1.70  % (3515931)Instruction limit reached! 
% 7.10/1.70  % (3515931)------------------------------
% 7.10/1.70  % (3515931)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.10/1.70  % (3515931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.10/1.70  % (3515931)CaDiCaL version: 2.1.3
% 7.10/1.70  % (3515931)Termination reason: Instruction limit
% 7.10/1.70  % (3515931)Termination phase: Saturation
% 7.10/1.70  % (3515931)Time elapsed: 0.604 s
% 7.10/1.70  % (3515931)Peak memory usage: 19 MB
% 7.10/1.70  % (3515931)Instructions burned: 684 (million)
% 7.10/1.70  % (3515936)Instruction limit reached! 
% 7.10/1.70  % (3515936)------------------------------
% 7.10/1.70  % (3515936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.10/1.70  % (3515936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.10/1.70  % (3515936)CaDiCaL version: 2.1.3
% 7.10/1.70  % (3515936)Termination reason: Instruction limit
% 7.10/1.70  % (3515936)Termination phase: Saturation
% 7.10/1.70  % (3515936)Time elapsed: 0.433 s
% 7.10/1.70  % (3515936)Peak memory usage: 16 MB
% 7.10/1.70  % (3515936)Instructions burned: 477 (million)
% 7.10/1.70  % (3515944)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=3906501236: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)
% 7.10/1.70  % (3515945)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3487384129:i=879:kws=inv_precedence:fsr=off_2991 on theBenchmark for (2991ds/879Mi)
% 7.10/1.70  % TRYING [14]
% 7.10/1.70  % (3515944)Instruction limit reached! 
% 7.10/1.70  % (3515944)------------------------------
% 7.10/1.70  % (3515944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.10/1.70  % (3515944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.10/1.70  % (3515944)CaDiCaL version: 2.1.3
% 7.10/1.70  % (3515944)Termination reason: Instruction limit
% 7.10/1.70  % (3515944)Termination phase: Saturation
% 7.10/1.70  % (3515944)Time elapsed: 0.360 s
% 7.10/1.70  % (3515944)Peak memory usage: 19 MB
% 7.10/1.70  % (3515944)Instructions burned: 693 (million)
% 7.10/1.70  % (3515939) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3515909-3515939"...
% 7.10/1.70  % (3515939)...printing done.
% 7.10/1.70  % (3515939)Refutation found. Thanks to Tanya!
% 7.10/1.70  % SZS status Theorem for theBenchmark
% 7.10/1.70  % SZS output start Proof for theBenchmark
% See solution above
% 8.82/1.70  % (3515939)------------------------------
% 8.82/1.70  % (3515939)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.82/1.70  % (3515939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.82/1.70  % (3515939)CaDiCaL version: 2.1.3
% 8.82/1.70  % (3515939)Termination reason: Refutation
% 8.82/1.70  % (3515939)Time elapsed: 0.743 s
% 8.82/1.70  % (3515939)Peak memory usage: 20 MB
% 8.82/1.70  % (3515939)Instructions burned: 771 (million)
% 8.82/1.70  % (3515909)Success in time 1.218 s
% 8.82/1.70  % Vampire exiting
%------------------------------------------------------------------------------