%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KLE092+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 : n001.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 11:40:51 AM UTC 2026
% Result : Theorem 7.72s 1.70s
% Output : Refutation 7.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 20
% Syntax : Number of formulae : 98 ( 98 unt; 3 def)
% Number of atoms : 98 ( 97 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 83 ( 82 !; 1 ?)
% 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(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(f17,axiom,
! [X0] : multiplication(X0,coantidomain(X0)) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+4.ax',codomain1) ).
fof(f18,axiom,
! [X0,X1] : addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) = coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+4.ax',codomain2) ).
fof(f19,axiom,
! [X0] : addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = one,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+4.ax',codomain3) ).
fof(f21,conjecture,
! [X0] : domain(coantidomain(X0)) = coantidomain(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f22,negated_conjecture,
~ ! [X0] : domain(coantidomain(X0)) = coantidomain(X0),
inference(negated_conjecture,[status(cth)],[f21]) ).
fof(f23,plain,
? [X0] : coantidomain(X0) != domain(coantidomain(X0)),
inference(ennf_transformation,[],[f22]) ).
fof(f24,plain,
coantidomain(sK0) != domain(coantidomain(sK0)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[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(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(f40,plain,
! [X0] : zero = multiplication(X0,coantidomain(X0)),
inference(cnf_transformation,[],[f17]) ).
fof(f41,plain,
! [X0,X1] : coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) = addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))),
inference(cnf_transformation,[],[f18]) ).
fof(f42,plain,
! [X0] : one = addition(coantidomain(coantidomain(X0)),coantidomain(X0)),
inference(cnf_transformation,[],[f19]) ).
fof(f44,plain,
coantidomain(sK0) != domain(coantidomain(sK0)),
inference(cnf_transformation,[],[f24]) ).
fof(f45,plain,
coantidomain(sK0) != antidomain(antidomain(coantidomain(sK0))),
inference(definition_unfolding,[],[f44,f39]) ).
fof(f46,definition,
sF1 = coantidomain(sK0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f47,plain,
coantidomain(sK0) = sF1,
inference(reorient_equations,[],[f46]) ).
fof(f48,definition,
sF2 = antidomain(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f49,plain,
antidomain(sF1) = sF2,
inference(reorient_equations,[],[f48]) ).
fof(f50,definition,
sF3 = antidomain(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f51,plain,
antidomain(sF2) = sF3,
inference(reorient_equations,[],[f50]) ).
fof(f52,plain,
sF1 != sF3,
inference(definition_folding,[],[f45,f51,f49,f47,f47]) ).
fof(f53,plain,
sF1 != antidomain(sF2),
inference(superposition,[],[f52,f51]) ).
fof(f54,plain,
zero = multiplication(sF2,sF1),
inference(superposition,[],[f36,f49]) ).
fof(f56,plain,
zero = antidomain(one),
inference(superposition,[],[f30,f36]) ).
fof(f60,plain,
zero = coantidomain(one),
inference(superposition,[],[f31,f40]) ).
fof(f65,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f27,f25]) ).
fof(f66,plain,
one = addition(antidomain(sF2),sF2),
inference(superposition,[],[f38,f49]) ).
fof(f67,plain,
one = addition(antidomain(zero),zero),
inference(superposition,[],[f38,f56]) ).
fof(f71,plain,
! [X0] : one = addition(antidomain(X0),antidomain(antidomain(X0))),
inference(superposition,[],[f25,f38]) ).
fof(f72,plain,
one = antidomain(zero),
inference(forward_demodulation,[],[f67,f27]) ).
fof(f73,plain,
one = addition(sF2,antidomain(sF2)),
inference(forward_demodulation,[],[f66,f25]) ).
fof(f78,plain,
one = addition(coantidomain(sF1),sF1),
inference(superposition,[],[f42,f47]) ).
fof(f79,plain,
one = addition(coantidomain(zero),zero),
inference(superposition,[],[f42,f60]) ).
fof(f83,plain,
! [X0] : one = addition(coantidomain(X0),coantidomain(coantidomain(X0))),
inference(superposition,[],[f25,f42]) ).
fof(f84,plain,
one = coantidomain(zero),
inference(forward_demodulation,[],[f79,f27]) ).
fof(f85,plain,
one = addition(sF1,coantidomain(sF1)),
inference(forward_demodulation,[],[f78,f25]) ).
fof(f91,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f26,f28]) ).
fof(f179,plain,
! [X0] : multiplication(X0,one) = addition(multiplication(X0,sF2),multiplication(X0,antidomain(sF2))),
inference(superposition,[],[f32,f73]) ).
fof(f181,plain,
! [X0] : addition(multiplication(X0,sF2),multiplication(X0,antidomain(sF2))) = X0,
inference(forward_demodulation,[],[f179,f30]) ).
fof(f199,plain,
! [X0,X1] : zero = addition(multiplication(X0,coantidomain(addition(X0,X1))),multiplication(X1,coantidomain(addition(X0,X1)))),
inference(superposition,[],[f40,f33]) ).
fof(f231,plain,
! [X0] : multiplication(one,X0) = addition(multiplication(sF1,X0),multiplication(coantidomain(sF1),X0)),
inference(superposition,[],[f33,f85]) ).
fof(f232,plain,
! [X0] : multiplication(X0,one) = addition(multiplication(X0,sF1),multiplication(X0,coantidomain(sF1))),
inference(superposition,[],[f32,f85]) ).
fof(f234,plain,
! [X0] : addition(multiplication(X0,sF1),multiplication(X0,coantidomain(sF1))) = X0,
inference(forward_demodulation,[],[f232,f30]) ).
fof(f235,plain,
! [X0] : addition(multiplication(sF1,X0),multiplication(coantidomain(sF1),X0)) = X0,
inference(forward_demodulation,[],[f231,f31]) ).
fof(f239,plain,
! [X0] : antidomain(multiplication(X0,antidomain(antidomain(coantidomain(X0))))) = addition(antidomain(zero),antidomain(multiplication(X0,antidomain(antidomain(coantidomain(X0)))))),
inference(superposition,[],[f37,f40]) ).
fof(f273,plain,
! [X0] : antidomain(multiplication(X0,antidomain(antidomain(coantidomain(X0))))) = addition(one,antidomain(multiplication(X0,antidomain(antidomain(coantidomain(X0)))))),
inference(forward_demodulation,[],[f239,f72]) ).
fof(f315,plain,
! [X0] : coantidomain(multiplication(coantidomain(sF1),X0)) = addition(coantidomain(multiplication(sK0,X0)),coantidomain(multiplication(coantidomain(sF1),X0))),
inference(superposition,[],[f41,f47]) ).
fof(f456,plain,
! [X0] : one = addition(antidomain(X0),one),
inference(superposition,[],[f91,f71]) ).
fof(f459,plain,
! [X0] : one = addition(coantidomain(X0),one),
inference(superposition,[],[f91,f83]) ).
fof(f474,plain,
! [X0] : one = addition(one,coantidomain(X0)),
inference(forward_demodulation,[],[f459,f25]) ).
fof(f476,plain,
! [X0] : one = addition(one,antidomain(X0)),
inference(forward_demodulation,[],[f456,f25]) ).
fof(f2446,plain,
! [X0,X1] : zero = addition(multiplication(X0,coantidomain(addition(X0,X1))),zero),
inference(superposition,[],[f91,f199]) ).
fof(f2461,plain,
! [X0,X1] : zero = multiplication(X0,coantidomain(addition(X0,X1))),
inference(forward_demodulation,[],[f2446,f27]) ).
fof(f3029,plain,
antidomain(multiplication(sK0,antidomain(antidomain(sF1)))) = addition(one,antidomain(multiplication(sK0,antidomain(antidomain(sF1))))),
inference(superposition,[],[f273,f47]) ).
fof(f3067,plain,
one = antidomain(multiplication(sK0,antidomain(antidomain(sF1)))),
inference(forward_demodulation,[],[f3029,f476]) ).
fof(f3084,plain,
one = antidomain(multiplication(sK0,antidomain(sF2))),
inference(forward_demodulation,[],[f3067,f49]) ).
fof(f3508,plain,
zero = multiplication(one,multiplication(sK0,antidomain(sF2))),
inference(superposition,[],[f36,f3084]) ).
fof(f3536,plain,
zero = multiplication(sK0,antidomain(sF2)),
inference(forward_demodulation,[],[f3508,f31]) ).
fof(f3744,plain,
coantidomain(multiplication(coantidomain(sF1),antidomain(sF2))) = addition(coantidomain(zero),coantidomain(multiplication(coantidomain(sF1),antidomain(sF2)))),
inference(superposition,[],[f315,f3536]) ).
fof(f3761,plain,
coantidomain(multiplication(coantidomain(sF1),antidomain(sF2))) = addition(one,coantidomain(multiplication(coantidomain(sF1),antidomain(sF2)))),
inference(forward_demodulation,[],[f3744,f84]) ).
fof(f3767,plain,
one = coantidomain(multiplication(coantidomain(sF1),antidomain(sF2))),
inference(forward_demodulation,[],[f3761,f474]) ).
fof(f10412,plain,
! [X0] : zero = multiplication(multiplication(X0,sF2),coantidomain(X0)),
inference(superposition,[],[f2461,f181]) ).
fof(f10413,plain,
! [X0] : zero = multiplication(X0,multiplication(sF2,coantidomain(X0))),
inference(forward_demodulation,[],[f10412,f29]) ).
fof(f11582,plain,
sF2 = addition(zero,multiplication(sF2,coantidomain(sF1))),
inference(superposition,[],[f234,f54]) ).
fof(f11658,plain,
sF2 = multiplication(sF2,coantidomain(sF1)),
inference(forward_demodulation,[],[f11582,f65]) ).
fof(f11701,plain,
zero = multiplication(sF1,sF2),
inference(superposition,[],[f10413,f11658]) ).
fof(f11878,plain,
sF1 = addition(zero,multiplication(sF1,antidomain(sF2))),
inference(superposition,[],[f181,f11701]) ).
fof(f11931,plain,
sF1 = multiplication(sF1,antidomain(sF2)),
inference(forward_demodulation,[],[f11878,f65]) ).
fof(f23574,plain,
zero = multiplication(multiplication(coantidomain(sF1),antidomain(sF2)),one),
inference(superposition,[],[f40,f3767]) ).
fof(f23631,plain,
zero = multiplication(coantidomain(sF1),antidomain(sF2)),
inference(forward_demodulation,[],[f23574,f30]) ).
fof(f23790,plain,
antidomain(sF2) = addition(multiplication(sF1,antidomain(sF2)),zero),
inference(superposition,[],[f235,f23631]) ).
fof(f23860,plain,
antidomain(sF2) = multiplication(sF1,antidomain(sF2)),
inference(forward_demodulation,[],[f23790,f27]) ).
fof(f25559,plain,
sF1 = antidomain(sF2),
inference(superposition,[],[f11931,f23860]) ).
fof(f25630,plain,
$false,
inference(forward_subsumption_resolution,[],[f25559,f53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE092+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.40 % Computer : n001.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 27 13:15:31 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 Running first-order model finding
% 0.13/0.42 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
% 7.72/1.70 % (3560216)Will run a generic schedule for satisfiability detection.
% 7.72/1.70 % (3560231)% WARNING: option uhcvi not known.
% 7.72/1.70 % (3560231)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2843431747:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.72/1.70 % (3560230)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4135021616_2999 on theBenchmark for (2999ds/0Mi)
% 7.72/1.70 % (3560234)dis+10_1_sil=32000:sp=arity:random_seed=3462681689:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.72/1.70 % (3560233)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2377444463:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.72/1.70 % (3560235)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1665498997:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.72/1.70 % (3560236)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1886203377:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.72/1.70 % (3560237)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3202687244:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.72/1.70 % TRYING [1]
% 7.72/1.70 % TRYING [2]
% 7.72/1.70 % TRYING [3]
% 7.72/1.70 % TRYING [4]
% 7.72/1.70 % TRYING [5]
% 7.72/1.70 % (3560234)Instruction limit reached!
% 7.72/1.70 % (3560234)------------------------------
% 7.72/1.70 % (3560234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.72/1.70 % (3560234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.72/1.70 % (3560234)CaDiCaL version: 2.1.3
% 7.72/1.70 % (3560234)Termination reason: Instruction limit
% 7.72/1.70 % (3560234)Termination phase: Saturation
% 7.72/1.70 % (3560234)Time elapsed: 0.061 s
% 7.72/1.70 % (3560234)Peak memory usage: 12 MB
% 7.72/1.70 % (3560234)Instructions burned: 104 (million)
% 7.72/1.70 % (3560235)Instruction limit reached!
% 7.72/1.70 % (3560235)------------------------------
% 7.72/1.70 % (3560235)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.72/1.70 % (3560235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.72/1.70 % (3560235)CaDiCaL version: 2.1.3
% 7.72/1.70 % (3560235)Termination reason: Instruction limit
% 7.72/1.70 % (3560235)Termination phase: Saturation
% 7.72/1.70 % (3560235)Time elapsed: 0.069 s
% 7.72/1.70 % (3560235)Peak memory usage: 12 MB
% 7.72/1.70 % (3560235)Instructions burned: 119 (million)
% 7.72/1.70 % (3560236)Instruction limit reached!
% 7.72/1.70 % (3560236)------------------------------
% 7.72/1.70 % (3560236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.72/1.70 % (3560236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.72/1.70 % (3560236)CaDiCaL version: 2.1.3
% 7.72/1.70 % (3560236)Termination reason: Instruction limit
% 7.72/1.70 % (3560236)Termination phase: Saturation
% 7.72/1.70 % (3560236)Time elapsed: 0.074 s
% 7.72/1.70 % (3560236)Peak memory usage: 12 MB
% 7.72/1.70 % (3560236)Instructions burned: 131 (million)
% 7.72/1.70 % (3560274)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2172335048:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 7.72/1.70 % TRYING [6]
% 7.72/1.70 % (3560276)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=939137886:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 7.72/1.70 % TRYING [1]
% 7.72/1.70 % TRYING [2]
% 7.72/1.70 % TRYING [3]
% 7.72/1.70 % (3560278)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=2390791807:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.72/1.70 % (3560237)Instruction limit reached!
% 7.72/1.70 % (3560237)------------------------------
% 7.72/1.70 % (3560237)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.72/1.70 % (3560237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.72/1.70 % (3560237)CaDiCaL version: 2.1.3
% 7.72/1.70 % (3560237)Termination reason: Instruction limit
% 7.72/1.70 % (3560237)Termination phase: Saturation
% 7.72/1.70 % (3560237)Time elapsed: 0.098 s
% 7.72/1.70 % (3560237)Peak memory usage: 12 MB
% 7.72/1.70 % (3560237)Instructions burned: 161 (million)
% 7.72/1.70 % TRYING [4]
% 7.72/1.70 % (3560288)ott-21_1_sil=16000:fs=off:random_seed=332350937:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.72/1.70 % TRYING [5]
% 7.72/1.70 % (3560276)Instruction limit reached!
% 7.72/1.70 % (3560276)------------------------------
% 7.72/1.70 % (3560276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.72/1.70 % (3560276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.72/1.70 % (3560276)CaDiCaL version: 2.1.3
% 7.72/1.70 % (3560276)Termination reason: Instruction limit
% 7.72/1.70 % (3560276)Termination phase: Saturation
% 7.72/1.70 % (3560276)Time elapsed: 0.085 s
% 7.72/1.70 % (3560276)Peak memory usage: 13 MB
% 7.72/1.70 % (3560276)Instructions burned: 132 (million)
% 7.72/1.70 % TRYING [6]
% 7.72/1.70 % (3560302)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1869930464:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 7.72/1.70 % (3560288)Instruction limit reached!
% 7.72/1.70 % (3560288)------------------------------
% 7.72/1.70 % (3560288)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.72/1.70 % (3560288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.72/1.70 % (3560288)CaDiCaL version: 2.1.3
% 7.72/1.70 % (3560288)Termination reason: Instruction limit
% 7.72/1.70 % (3560288)Termination phase: Saturation
% 7.72/1.70 % (3560288)Time elapsed: 0.095 s
% 7.72/1.70 % (3560288)Peak memory usage: 12 MB
% 7.72/1.70 % (3560288)Instructions burned: 181 (million)
% 7.72/1.70 % TRYING [7]
% 7.72/1.70 % (3560309)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=366726107:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 7.72/1.70 % TRYING [1]
% 7.72/1.70 % TRYING [2]
% 7.72/1.70 % TRYING [3]
% 7.72/1.70 % TRYING [4]
% 7.72/1.70 % TRYING [5]
% 7.72/1.70 % (3560274)Instruction limit reached!
% 7.72/1.70 % (3560274)------------------------------
% 7.72/1.70 % (3560274)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.72/1.70 % (3560274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.72/1.70 % (3560274)CaDiCaL version: 2.1.3
% 7.72/1.70 % (3560274)Termination reason: Instruction limit
% 7.72/1.70 % (3560274)Termination phase: Finite model building SAT solving
% 7.72/1.70 % (3560274)Time elapsed: 0.305 s
% 7.72/1.70 % (3560274)Peak memory usage: 35 MB
% 7.72/1.70 % (3560274)Instructions burned: 715 (million)
% 7.72/1.70 % (3560317)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=532716989:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 7.72/1.70 % (3560302)Instruction limit reached!
% 7.72/1.70 % (3560302)------------------------------
% 7.72/1.70 % (3560302)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.72/1.70 % (3560302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.72/1.70 % (3560302)CaDiCaL version: 2.1.3
% 7.72/1.70 % (3560302)Termination reason: Instruction limit
% 7.72/1.70 % (3560302)Termination phase: Saturation
% 7.72/1.70 % (3560302)Time elapsed: 0.255 s
% 7.72/1.70 % (3560302)Peak memory usage: 16 MB
% 7.72/1.70 % (3560302)Instructions burned: 477 (million)
% 7.72/1.70 % (3560278)Instruction limit reached!
% 7.72/1.70 % (3560278)------------------------------
% 7.72/1.70 % (3560278)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.72/1.70 % (3560278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.72/1.70 % (3560278)CaDiCaL version: 2.1.3
% 7.72/1.70 % (3560278)Termination reason: Instruction limit
% 7.72/1.70 % (3560278)Termination phase: Saturation
% 7.72/1.70 % (3560278)Time elapsed: 0.357 s
% 7.72/1.70 % (3560278)Peak memory usage: 17 MB
% 7.72/1.70 % (3560278)Instructions burned: 685 (million)
% 7.72/1.70 % TRYING [6]
% 7.72/1.70 % (3560319)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3255454254:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 7.72/1.70 % (3560320)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=3397537370:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 7.72/1.70 % (3560309)Instruction limit reached!
% 7.72/1.70 % (3560309)------------------------------
% 7.72/1.70 % (3560309)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.72/1.70 % (3560309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.72/1.70 % (3560309)CaDiCaL version: 2.1.3
% 7.72/1.70 % (3560309)Termination reason: Instruction limit
% 7.72/1.70 % (3560309)Termination phase: Finite model building SAT solving
% 7.72/1.70 % (3560309)Time elapsed: 0.374 s
% 7.72/1.70 % (3560309)Peak memory usage: 27 MB
% 7.72/1.70 % (3560309)Instructions burned: 866 (million)
% 7.72/1.70 % TRYING [8]
% 7.72/1.70 % (3560350)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=57462553:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 7.72/1.70 % TRYING [14]
% 7.72/1.70 % (3560319)Instruction limit reached!
% 7.72/1.70 % (3560319)------------------------------
% 7.72/1.70 % (3560319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.72/1.70 % (3560319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.72/1.70 % (3560319)CaDiCaL version: 2.1.3
% 7.72/1.70 % (3560319)Termination reason: Instruction limit
% 7.72/1.70 % (3560319)Termination phase: Finite model building constraint generation
% 7.72/1.70 % (3560319)Time elapsed: 0.638 s
% 7.72/1.70 % (3560319)Peak memory usage: 80 MB
% 7.72/1.70 % (3560319)Instructions burned: 890 (million)
% 7.72/1.70 % (3560320)Instruction limit reached!
% 7.72/1.70 % (3560320)------------------------------
% 7.72/1.70 % (3560320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.72/1.70 % (3560320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.72/1.70 % (3560320)CaDiCaL version: 2.1.3
% 7.72/1.70 % (3560320)Termination reason: Instruction limit
% 7.72/1.70 % (3560320)Termination phase: Saturation
% 7.72/1.70 % (3560320)Time elapsed: 0.644 s
% 7.72/1.70 % (3560320)Peak memory usage: 18 MB
% 7.72/1.70 % (3560320)Instructions burned: 692 (million)
% 7.72/1.70 % (3560366)fmb+10_1_sil=64000:random_seed=234608086:i=22061:nm=2:gsp=on_2988 on theBenchmark for (2988ds/22061Mi)
% 7.72/1.70 % (3560367)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1057252931:i=9515:nm=5_2988 on theBenchmark for (2988ds/9515Mi)
% 7.72/1.70 % TRYING [20]
% 7.72/1.70 % TRYING [1]
% 7.72/1.70 % TRYING [2]
% 7.72/1.70 % TRYING [3]
% 7.72/1.70 % TRYING [4]
% 7.72/1.70 % (3560317) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3560216-3560317"...
% 7.72/1.70 % (3560317)...printing done.
% 7.72/1.70 % (3560317)Refutation found. Thanks to Tanya!
% 7.72/1.70 % SZS status Theorem for theBenchmark
% 7.72/1.70 % SZS output start Proof for theBenchmark
% See solution above
% 7.72/1.70 % (3560317)------------------------------
% 7.72/1.70 % (3560317)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.72/1.70 % (3560317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.72/1.70 % (3560317)CaDiCaL version: 2.1.3
% 7.72/1.70 % (3560317)Termination reason: Refutation
% 7.72/1.70 % (3560317)Time elapsed: 0.797 s
% 7.72/1.70 % (3560317)Peak memory usage: 20 MB
% 7.72/1.70 % (3560317)Instructions burned: 972 (million)
% 7.72/1.70 % (3560216)Success in time 1.267 s
% 7.72/1.70 % Vampire exiting
%------------------------------------------------------------------------------