%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n007.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 11:40:17 AM UTC 2026
% Result : Theorem 8.47s 2.21s
% Output : Refutation 10.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 22
% Syntax : Number of formulae : 117 ( 117 unt; 8 def)
% Number of atoms : 117 ( 116 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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 : 100 ( 98 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_associativity) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_associativity) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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/theBenchmark.p',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/theBenchmark.p',left_distributivity) ).
fof(f11,axiom,
! [X0] : multiplication(zero,X0) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_annihilation) ).
fof(f13,axiom,
! [X0] : multiplication(antidomain(X0),X0) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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/theBenchmark.p',domain2) ).
fof(f15,axiom,
! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain3) ).
fof(f16,axiom,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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(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(f67,plain,
one = addition(antidomain(sF8),sF8),
inference(superposition,[],[f38,f59]) ).
fof(f69,plain,
one = addition(sF9,sF8),
inference(forward_demodulation,[],[f67,f61]) ).
fof(f75,plain,
! [X0] : one = addition(antidomain(X0),antidomain(antidomain(X0))),
inference(superposition,[],[f38,f25]) ).
fof(f81,plain,
zero = multiplication(sF9,sF8),
inference(superposition,[],[f36,f61]) ).
fof(f83,plain,
one = addition(sF3,antidomain(sF3)),
inference(superposition,[],[f75,f49]) ).
fof(f89,plain,
one = addition(sF3,sF4),
inference(forward_demodulation,[],[f83,f51]) ).
fof(f94,plain,
! [X0,X1] : multiplication(addition(antidomain(X0),X1),X0) = addition(zero,multiplication(X1,X0)),
inference(superposition,[],[f33,f36]) ).
fof(f98,plain,
! [X0,X1] : multiplication(addition(X0,antidomain(X1)),X1) = addition(multiplication(X0,X1),zero),
inference(superposition,[],[f33,f36]) ).
fof(f107,plain,
! [X0,X1] : multiplication(X0,X1) = multiplication(addition(X0,antidomain(X1)),X1),
inference(forward_demodulation,[],[f98,f27]) ).
fof(f114,plain,
! [X0] : multiplication(one,X0) = multiplication(antidomain(antidomain(X0)),X0),
inference(superposition,[],[f107,f38]) ).
fof(f117,plain,
! [X0,X1] : multiplication(X1,X0) = multiplication(addition(antidomain(X0),X1),X0),
inference(superposition,[],[f107,f25]) ).
fof(f122,plain,
! [X0,X1] : multiplication(X1,X0) = addition(zero,multiplication(X1,X0)),
inference(forward_demodulation,[],[f117,f94]) ).
fof(f125,plain,
! [X0] : multiplication(antidomain(antidomain(X0)),X0) = X0,
inference(forward_demodulation,[],[f114,f31]) ).
fof(f127,plain,
sK1 = multiplication(antidomain(sF5),sK1),
inference(superposition,[],[f125,f53]) ).
fof(f137,plain,
sK1 = multiplication(sF6,sK1),
inference(forward_demodulation,[],[f127,f55]) ).
fof(f144,plain,
zero = antidomain(one),
inference(superposition,[],[f36,f30]) ).
fof(f155,plain,
! [X0,X1] : multiplication(antidomain(X0),addition(X0,X1)) = addition(zero,multiplication(antidomain(X0),X1)),
inference(superposition,[],[f32,f36]) ).
fof(f162,plain,
! [X0,X1] : multiplication(antidomain(X0),addition(X1,X0)) = addition(multiplication(antidomain(X0),X1),zero),
inference(superposition,[],[f32,f36]) ).
fof(f178,plain,
! [X0,X1] : multiplication(antidomain(X0),X1) = multiplication(antidomain(X0),addition(X1,X0)),
inference(forward_demodulation,[],[f162,f27]) ).
fof(f180,plain,
! [X0,X1] : multiplication(antidomain(X0),addition(X0,X1)) = multiplication(antidomain(X0),X1),
inference(forward_demodulation,[],[f155,f122]) ).
fof(f189,plain,
! [X0] : multiplication(antidomain(antidomain(antidomain(X0))),antidomain(X0)) = multiplication(antidomain(antidomain(antidomain(X0))),one),
inference(superposition,[],[f178,f75]) ).
fof(f200,plain,
! [X0] : antidomain(antidomain(antidomain(X0))) = multiplication(antidomain(antidomain(antidomain(X0))),antidomain(X0)),
inference(forward_demodulation,[],[f189,f30]) ).
fof(f203,plain,
! [X0] : antidomain(X0) = antidomain(antidomain(antidomain(X0))),
inference(forward_demodulation,[],[f200,f125]) ).
fof(f205,plain,
sF5 = antidomain(antidomain(sF5)),
inference(superposition,[],[f203,f53]) ).
fof(f222,plain,
sF5 = antidomain(sF6),
inference(forward_demodulation,[],[f205,f55]) ).
fof(f265,plain,
! [X0,X1] : multiplication(antidomain(X0),multiplication(X0,X1)) = multiplication(zero,X1),
inference(superposition,[],[f29,f36]) ).
fof(f270,plain,
! [X0] : multiplication(sK0,multiplication(sF6,X0)) = multiplication(sF7,X0),
inference(superposition,[],[f29,f57]) ).
fof(f282,plain,
! [X0,X1] : zero = multiplication(antidomain(X0),multiplication(X0,X1)),
inference(forward_demodulation,[],[f265,f35]) ).
fof(f380,plain,
one = multiplication(antidomain(zero),one),
inference(superposition,[],[f125,f144]) ).
fof(f386,plain,
one = antidomain(zero),
inference(forward_demodulation,[],[f380,f30]) ).
fof(f396,plain,
! [X0] : multiplication(one,X0) = multiplication(one,addition(zero,X0)),
inference(superposition,[],[f180,f386]) ).
fof(f398,plain,
! [X0] : multiplication(one,X0) = addition(zero,X0),
inference(forward_demodulation,[],[f396,f31]) ).
fof(f403,plain,
! [X0] : addition(zero,X0) = X0,
inference(forward_demodulation,[],[f398,f31]) ).
fof(f486,plain,
sF6 = multiplication(antidomain(sF5),sF6),
inference(superposition,[],[f125,f222]) ).
fof(f491,plain,
sF6 = multiplication(sF6,sF6),
inference(forward_demodulation,[],[f486,f55]) ).
fof(f508,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,X1),addition(multiplication(X0,X2),X3)) = addition(multiplication(X0,addition(X1,X2)),X3),
inference(superposition,[],[f26,f32]) ).
fof(f557,plain,
multiplication(sK0,sK1) = multiplication(sF7,sK1),
inference(superposition,[],[f270,f137]) ).
fof(f558,plain,
multiplication(sK0,sF6) = multiplication(sF7,sF6),
inference(superposition,[],[f270,f491]) ).
fof(f574,plain,
sF7 = multiplication(sF7,sF6),
inference(forward_demodulation,[],[f558,f57]) ).
fof(f575,plain,
sF2 = multiplication(sF7,sK1),
inference(forward_demodulation,[],[f557,f47]) ).
fof(f610,plain,
antidomain(multiplication(sF7,antidomain(antidomain(sK1)))) = addition(antidomain(sF2),antidomain(multiplication(sF7,antidomain(antidomain(sK1))))),
inference(superposition,[],[f37,f575]) ).
fof(f627,plain,
! [X0,X1] : multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,antidomain(antidomain(X1)))) = multiplication(antidomain(multiplication(X0,antidomain(antidomain(X1)))),multiplication(X0,antidomain(antidomain(X1)))),
inference(superposition,[],[f107,f37]) ).
fof(f633,plain,
! [X0,X1] : zero = multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,antidomain(antidomain(X1)))),
inference(forward_demodulation,[],[f627,f36]) ).
fof(f648,plain,
antidomain(multiplication(sF7,antidomain(sF5))) = addition(antidomain(sF2),antidomain(multiplication(sF7,antidomain(sF5)))),
inference(forward_demodulation,[],[f610,f53]) ).
fof(f664,plain,
antidomain(multiplication(sF7,sF6)) = addition(antidomain(sF2),antidomain(multiplication(sF7,sF6))),
inference(forward_demodulation,[],[f648,f55]) ).
fof(f674,plain,
antidomain(sF7) = addition(antidomain(sF2),antidomain(sF7)),
inference(forward_demodulation,[],[f664,f574]) ).
fof(f678,plain,
sF8 = addition(antidomain(sF2),sF8),
inference(forward_demodulation,[],[f674,f59]) ).
fof(f681,plain,
sF8 = addition(sF3,sF8),
inference(forward_demodulation,[],[f678,f49]) ).
fof(f685,plain,
multiplication(antidomain(sF8),sF8) = multiplication(antidomain(sF8),sF3),
inference(superposition,[],[f178,f681]) ).
fof(f686,plain,
multiplication(sF9,sF8) = multiplication(sF9,sF3),
inference(forward_demodulation,[],[f685,f61]) ).
fof(f688,plain,
zero = multiplication(sF9,sF3),
inference(forward_demodulation,[],[f686,f81]) ).
fof(f1329,plain,
zero = multiplication(antidomain(sF7),sF2),
inference(superposition,[],[f282,f575]) ).
fof(f1352,plain,
zero = multiplication(sF8,sF2),
inference(forward_demodulation,[],[f1329,f59]) ).
fof(f2176,plain,
zero = multiplication(antidomain(zero),multiplication(sF8,antidomain(antidomain(sF2)))),
inference(superposition,[],[f633,f1352]) ).
fof(f2177,plain,
zero = multiplication(antidomain(zero),multiplication(sF8,antidomain(sF3))),
inference(forward_demodulation,[],[f2176,f49]) ).
fof(f2186,plain,
zero = multiplication(antidomain(zero),multiplication(sF8,sF4)),
inference(forward_demodulation,[],[f2177,f51]) ).
fof(f2190,plain,
zero = multiplication(one,multiplication(sF8,sF4)),
inference(forward_demodulation,[],[f2186,f386]) ).
fof(f2194,plain,
zero = multiplication(sF8,sF4),
inference(forward_demodulation,[],[f2190,f31]) ).
fof(f2417,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,addition(X3,X2)),multiplication(X1,X2)) = addition(multiplication(X0,X3),multiplication(addition(X0,X1),X2)),
inference(superposition,[],[f508,f33]) ).
fof(f2601,plain,
! [X0,X1] : addition(multiplication(X0,one),multiplication(X1,sF4)) = addition(multiplication(X0,sF3),multiplication(addition(X0,X1),sF4)),
inference(superposition,[],[f2417,f89]) ).
fof(f2862,plain,
! [X0,X1] : addition(multiplication(X0,sF3),multiplication(addition(X0,X1),sF4)) = addition(X0,multiplication(X1,sF4)),
inference(forward_demodulation,[],[f2601,f30]) ).
fof(f3479,plain,
addition(sF9,multiplication(sF8,sF4)) = addition(multiplication(sF9,sF3),multiplication(one,sF4)),
inference(superposition,[],[f2862,f69]) ).
fof(f3512,plain,
addition(sF9,multiplication(sF8,sF4)) = addition(multiplication(sF9,sF3),sF4),
inference(forward_demodulation,[],[f3479,f31]) ).
fof(f3563,plain,
addition(zero,sF4) = addition(sF9,multiplication(sF8,sF4)),
inference(forward_demodulation,[],[f3512,f688]) ).
fof(f3601,plain,
addition(sF9,zero) = addition(zero,sF4),
inference(forward_demodulation,[],[f3563,f2194]) ).
fof(f3624,plain,
sF4 = addition(sF9,zero),
inference(forward_demodulation,[],[f3601,f403]) ).
fof(f3635,plain,
sF4 = sF9,
inference(forward_demodulation,[],[f3624,f27]) ).
fof(f3639,plain,
$false,
inference(forward_subsumption_resolution,[],[f3635,f62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE084+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n007.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 13:07:25 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.47/2.21 % (1402510)Detected formulas, will run a generic FOF schedule.
% 8.47/2.21 % (1402519)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1056012981:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.47/2.21 % (1402519)Instruction limit reached!
% 8.47/2.21 % (1402519)------------------------------
% 8.47/2.21 % (1402519)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.47/2.21 % (1402519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/2.21 % (1402519)CaDiCaL version: 2.1.3
% 8.47/2.21 % (1402519)Termination reason: Instruction limit
% 8.47/2.21 % (1402519)Termination phase: Saturation
% 8.47/2.21 % (1402519)Time elapsed: 0.038 s
% 8.47/2.21 % (1402519)Peak memory usage: 89 MB
% 8.47/2.21 % (1402519)Instructions burned: 121 (million)
% 8.47/2.21 % (1402516)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1100401226:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.47/2.21 % (1402517)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3678824865:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.47/2.21 % (1402518)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=553402159:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.47/2.21 % (1402515)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1952223401:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.47/2.21 % (1402518)Refutation not found, incomplete strategy
% 8.47/2.21 % (1402518)------------------------------
% 8.47/2.21 % (1402518)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.47/2.21 % (1402518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/2.21 % (1402518)CaDiCaL version: 2.1.3
% 8.47/2.21 % (1402518)Termination reason: Refutation not found, incomplete strategy
% 8.47/2.21 % (1402518)Time elapsed: 0.001 s
% 8.47/2.21 % (1402518)Peak memory usage: 88 MB
% 8.47/2.21 % (1402521)dis-21_1_sil=8000:lcm=predicate:random_seed=517875737:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 8.47/2.21 % (1402520)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2261525438:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.47/2.21 % (1402521)Refutation not found, incomplete strategy
% 8.47/2.21 % (1402521)------------------------------
% 8.47/2.21 % (1402521)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.47/2.21 % (1402521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/2.21 % (1402521)CaDiCaL version: 2.1.3
% 8.47/2.21 % (1402521)Termination reason: Refutation not found, incomplete strategy
% 8.47/2.21 % (1402521)Time elapsed: 0.002 s
% 8.47/2.21 % (1402521)Peak memory usage: 88 MB
% 8.47/2.21 % (1402521)Instructions burned: 1 (million)
% 8.47/2.21 % (1402520)Instruction limit reached!
% 8.47/2.21 % (1402520)------------------------------
% 8.47/2.21 % (1402520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.47/2.21 % (1402520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/2.21 % (1402520)CaDiCaL version: 2.1.3
% 8.47/2.21 % (1402520)Termination reason: Instruction limit
% 8.47/2.21 % (1402520)Termination phase: Saturation
% 8.47/2.21 % (1402520)Time elapsed: 0.080 s
% 8.47/2.21 % (1402520)Peak memory usage: 89 MB
% 8.47/2.21 % (1402520)Instructions burned: 140 (million)
% 8.47/2.21 % (1402527)lrs+10_1_sil=8000:sp=occurrence:random_seed=4102472997:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 8.47/2.21 % (1402527)Instruction limit reached!
% 8.47/2.21 % (1402527)------------------------------
% 8.47/2.21 % (1402527)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.47/2.21 % (1402527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/2.21 % (1402527)CaDiCaL version: 2.1.3
% 8.47/2.21 % (1402527)Termination reason: Instruction limit
% 8.47/2.21 % (1402527)Termination phase: Saturation
% 8.47/2.21 % (1402527)Time elapsed: 0.092 s
% 8.47/2.21 % (1402527)Peak memory usage: 91 MB
% 8.47/2.21 % (1402527)Instructions burned: 288 (million)
% 8.47/2.21 % (1402518)------------------------------
% 8.47/2.21 % (1402518)------------------------------
% 8.47/2.21 % (1402530)lrs+10_1_sil=32000:urr=on:br=off:random_seed=804386519:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 8.47/2.21 % (1402530)Refutation not found, incomplete strategy
% 8.47/2.21 % (1402530)------------------------------
% 8.47/2.21 % (1402530)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.47/2.21 % (1402530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/2.21 % (1402521)------------------------------
% 8.47/2.21 % (1402521)------------------------------
% 8.47/2.21 % (1402530)CaDiCaL version: 2.1.3
% 8.47/2.21 % (1402530)Termination reason: Refutation not found, incomplete strategy
% 8.47/2.21 % (1402530)Time elapsed: 0.002 s
% 8.47/2.21 % (1402530)Peak memory usage: 88 MB
% 8.47/2.21 % (1402532)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1618572736:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 8.47/2.21 % (1402534)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3567592301:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 8.47/2.21 % (1402535)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2162314862:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 8.47/2.21 % (1402535)Refutation not found, incomplete strategy
% 8.47/2.21 % (1402535)------------------------------
% 8.47/2.21 % (1402535)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.47/2.21 % (1402535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/2.21 % (1402535)CaDiCaL version: 2.1.3
% 8.47/2.21 % (1402535)Termination reason: Refutation not found, incomplete strategy
% 8.47/2.21 % (1402535)Time elapsed: 0.002 s
% 8.47/2.21 % (1402535)Peak memory usage: 88 MB
% 8.47/2.21 % (1402535)Instructions burned: 1 (million)
% 8.47/2.21 % (1402532)Instruction limit reached!
% 8.47/2.21 % (1402532)------------------------------
% 8.47/2.21 % (1402532)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.47/2.21 % (1402532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/2.21 % (1402532)CaDiCaL version: 2.1.3
% 8.47/2.21 % (1402532)Termination reason: Instruction limit
% 8.47/2.21 % (1402532)Termination phase: Saturation
% 8.47/2.21 % (1402532)Time elapsed: 0.104 s
% 8.47/2.21 % (1402532)Peak memory usage: 92 MB
% 8.47/2.21 % (1402532)Instructions burned: 326 (million)
% 8.47/2.21 % (1402530)------------------------------
% 8.47/2.21 % (1402530)------------------------------
% 8.47/2.21 % (1402534)Instruction limit reached!
% 8.47/2.21 % (1402534)------------------------------
% 8.47/2.21 % (1402534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.47/2.21 % (1402534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/2.21 % (1402534)CaDiCaL version: 2.1.3
% 8.47/2.21 % (1402534)Termination reason: Instruction limit
% 8.47/2.21 % (1402534)Termination phase: Saturation
% 8.47/2.21 % (1402534)Time elapsed: 0.154 s
% 8.47/2.21 % (1402534)Peak memory usage: 92 MB
% 8.47/2.21 % (1402534)Instructions burned: 248 (million)
% 8.47/2.21 % (1402539)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4161201165:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 8.47/2.21 % (1402517)Refutation not found, incomplete strategy
% 8.47/2.21 % (1402517)------------------------------
% 8.47/2.21 % (1402517)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.47/2.21 % (1402517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/2.21 % (1402517)CaDiCaL version: 2.1.3
% 8.47/2.21 % (1402517)Termination reason: Refutation not found, incomplete strategy
% 8.47/2.21 % (1402517)Time elapsed: 0.601 s
% 8.47/2.21 % (1402517)Peak memory usage: 126 MB
% 8.47/2.21 % (1402517)Instructions burned: 889 (million)
% 8.47/2.21 % (1402535)------------------------------
% 8.47/2.21 % (1402535)------------------------------
% 8.47/2.21 % (1402540)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=434761418:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 8.47/2.21 % (1402540)Refutation not found, incomplete strategy
% 8.47/2.21 % (1402540)------------------------------
% 8.47/2.21 % (1402540)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.47/2.21 % (1402540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/2.21 % (1402540)CaDiCaL version: 2.1.3
% 8.47/2.21 % (1402540)Termination reason: Refutation not found, incomplete strategy
% 8.47/2.21 % (1402540)Time elapsed: 0.002 s
% 8.47/2.21 % (1402540)Peak memory usage: 88 MB
% 8.47/2.21 % (1402540)Instructions burned: 1 (million)
% 8.47/2.21 % (1402541)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2412288667:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 8.47/2.21 % (1402541)Refutation not found, incomplete strategy
% 8.47/2.21 % (1402541)------------------------------
% 8.47/2.21 % (1402541)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.47/2.21 % (1402541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/2.21 % (1402541)CaDiCaL version: 2.1.3
% 8.47/2.21 % (1402541)Termination reason: Refutation not found, incomplete strategy
% 8.47/2.21 % (1402541)Time elapsed: 0.001 s
% 8.47/2.21 % (1402541)Peak memory usage: 88 MB
% 8.47/2.21 % (1402544)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=821824331:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 8.47/2.21 % (1402544)Refutation not found, incomplete strategy
% 8.47/2.21 % (1402544)------------------------------
% 8.47/2.21 % (1402544)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.47/2.21 % (1402544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/2.21 % (1402544)CaDiCaL version: 2.1.3
% 8.47/2.21 % (1402544)Termination reason: Refutation not found, incomplete strategy
% 8.47/2.21 % (1402544)Time elapsed: 0.001 s
% 8.47/2.21 % (1402544)Peak memory usage: 88 MB
% 8.47/2.21 % (1402517)------------------------------
% 8.47/2.21 % (1402517)------------------------------
% 8.47/2.21 % (1402540)------------------------------
% 8.47/2.21 % (1402540)------------------------------
% 8.47/2.21 % (1402515)First to succeed.
% 8.47/2.21 % (1402515)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1402510"
% 8.47/2.21 % (1402541)------------------------------
% 8.47/2.21 % (1402541)------------------------------
% 8.47/2.21 % (1402547)lrs+10_1_sil=8000:sp=occurrence:random_seed=3839803699:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 8.47/2.21 % (1402548)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1918213029:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 8.47/2.21 % (1402548)Refutation not found, incomplete strategy
% 8.47/2.21 % (1402548)------------------------------
% 8.47/2.21 % (1402548)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.47/2.21 % (1402548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/2.21 % (1402548)CaDiCaL version: 2.1.3
% 8.47/2.21 % (1402548)Termination reason: Refutation not found, incomplete strategy
% 8.47/2.21 % (1402548)Time elapsed: 0.001 s
% 8.47/2.21 % (1402548)Peak memory usage: 88 MB
% 8.47/2.21 % (1402544)------------------------------
% 8.47/2.21 % (1402544)------------------------------
% 8.47/2.21 % (1402549)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1715614933:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 8.47/2.21 % (1402515)Refutation found. Thanks to Tanya!
% 8.47/2.21 % SZS status Theorem for theBenchmark
% 8.47/2.21 % SZS output start Proof for theBenchmark
% See solution above
% 10.23/2.41 % (1402515)------------------------------
% 10.23/2.41 % (1402515)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.23/2.41 % (1402515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.23/2.41 % (1402515)CaDiCaL version: 2.1.3
% 10.23/2.41 % (1402515)Termination reason: Refutation
% 10.23/2.41 % (1402515)Time elapsed: 0.934 s
% 10.23/2.41 % (1402515)Peak memory usage: 132 MB
% 10.23/2.41 % (1402515)Instructions burned: 1432 (million)
% 10.23/2.41 % (1402515)------------------------------
% 10.23/2.41 % (1402515)------------------------------
% 10.23/2.41 % (1402510)Success in time 1.357 s
% 10.23/2.41 % Vampire exiting
%------------------------------------------------------------------------------