%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE081+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 : n009.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 11:40:16 AM UTC 2026
% Result : Theorem 7.68s 1.83s
% Output : Refutation 7.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 15
% Syntax : Number of formulae : 66 ( 62 unt; 4 def)
% Number of atoms : 74 ( 73 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 5 ~; 0 |; 6 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 80 ( 79 !; 1 ?)
% 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(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_idempotence) ).
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(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_left_identity) ).
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] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain1) ).
fof(f15,axiom,
! [X0] : addition(domain(X0),one) = one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain3) ).
fof(f17,axiom,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain5) ).
fof(f18,conjecture,
! [X0] :
( ! [X1] :
( addition(domain(X1),antidomain(X1)) = one
& multiplication(domain(X1),antidomain(X1)) = zero )
=> multiplication(antidomain(X0),X0) = zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f19,negated_conjecture,
~ ! [X0] :
( ! [X1] :
( addition(domain(X1),antidomain(X1)) = one
& multiplication(domain(X1),antidomain(X1)) = zero )
=> multiplication(antidomain(X0),X0) = zero ),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f20,plain,
? [X0] :
( zero != multiplication(antidomain(X0),X0)
& ! [X1] :
( addition(domain(X1),antidomain(X1)) = one
& multiplication(domain(X1),antidomain(X1)) = zero ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f21,plain,
( zero != multiplication(antidomain(sK0),sK0)
& ! [X1] :
( addition(domain(X1),antidomain(X1)) = one
& multiplication(domain(X1),antidomain(X1)) = zero ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f20]) ).
fof(f22,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f23,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f25,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f26,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f28,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f30,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f32,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f33,plain,
! [X0] : multiplication(domain(X0),X0) = addition(X0,multiplication(domain(X0),X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f35,plain,
! [X0] : one = addition(domain(X0),one),
inference(cnf_transformation,[],[f15]) ).
fof(f37,plain,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(cnf_transformation,[],[f17]) ).
fof(f38,plain,
! [X1] : zero = multiplication(domain(X1),antidomain(X1)),
inference(cnf_transformation,[],[f21]) ).
fof(f39,plain,
! [X1] : one = addition(domain(X1),antidomain(X1)),
inference(cnf_transformation,[],[f21]) ).
fof(f40,plain,
zero != multiplication(antidomain(sK0),sK0),
inference(cnf_transformation,[],[f21]) ).
fof(f41,definition,
sF1 = antidomain(sK0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f42,plain,
antidomain(sK0) = sF1,
inference(reorient_equations,[],[f41]) ).
fof(f43,definition,
sF2 = multiplication(sF1,sK0),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f44,plain,
multiplication(sF1,sK0) = sF2,
inference(reorient_equations,[],[f43]) ).
fof(f45,plain,
zero != sF2,
inference(definition_folding,[],[f40,f44,f42]) ).
fof(f46,definition,
! [X1] : sF3(X1) = addition(domain(X1),antidomain(X1)),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f47,plain,
! [X1] : addition(domain(X1),antidomain(X1)) = sF3(X1),
inference(reorient_equations,[],[f46]) ).
fof(f48,plain,
! [X1] : one = sF3(X1),
inference(definition_folding,[],[f39,f47]) ).
fof(f49,definition,
! [X1] : sF4(X1) = multiplication(domain(X1),antidomain(X1)),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f50,plain,
! [X1] : multiplication(domain(X1),antidomain(X1)) = sF4(X1),
inference(reorient_equations,[],[f49]) ).
fof(f51,plain,
! [X1] : zero = sF4(X1),
inference(definition_folding,[],[f38,f50]) ).
fof(f52,plain,
! [X1] : one = addition(domain(X1),antidomain(X1)),
inference(forward_demodulation,[],[f47,f48]) ).
fof(f53,plain,
! [X1] : zero = multiplication(domain(X1),antidomain(X1)),
inference(forward_demodulation,[],[f50,f51]) ).
fof(f60,plain,
! [X0] : one = addition(one,domain(X0)),
inference(superposition,[],[f22,f35]) ).
fof(f105,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f30,f28]) ).
fof(f110,plain,
! [X0,X1] : multiplication(addition(X1,one),X0) = addition(multiplication(X1,X0),X0),
inference(superposition,[],[f30,f28]) ).
fof(f197,plain,
! [X0] : multiplication(domain(X0),X0) = multiplication(addition(one,domain(X0)),X0),
inference(superposition,[],[f33,f105]) ).
fof(f204,plain,
! [X0] : multiplication(one,X0) = multiplication(domain(X0),X0),
inference(forward_demodulation,[],[f197,f60]) ).
fof(f214,plain,
! [X0] : multiplication(domain(X0),X0) = X0,
inference(forward_demodulation,[],[f204,f28]) ).
fof(f228,plain,
! [X0,X1] : addition(X0,multiplication(X1,X0)) = multiplication(addition(domain(X0),X1),X0),
inference(superposition,[],[f30,f214]) ).
fof(f231,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = multiplication(addition(domain(X0),X1),X0),
inference(forward_demodulation,[],[f228,f105]) ).
fof(f291,plain,
! [X0,X1] : multiplication(zero,X1) = multiplication(domain(X0),multiplication(antidomain(X0),X1)),
inference(superposition,[],[f26,f53]) ).
fof(f307,plain,
! [X0,X1] : zero = multiplication(domain(X0),multiplication(antidomain(X0),X1)),
inference(forward_demodulation,[],[f291,f32]) ).
fof(f345,plain,
! [X0] : zero = multiplication(domain(sK0),multiplication(sF1,X0)),
inference(superposition,[],[f307,f42]) ).
fof(f440,plain,
! [X0,X1] : addition(one,X1) = addition(domain(X0),addition(antidomain(X0),X1)),
inference(superposition,[],[f23,f52]) ).
fof(f596,plain,
! [X0] : addition(domain(X0),antidomain(X0)) = addition(one,antidomain(X0)),
inference(superposition,[],[f440,f25]) ).
fof(f611,plain,
! [X0] : one = addition(one,antidomain(X0)),
inference(forward_demodulation,[],[f596,f52]) ).
fof(f615,plain,
one = addition(one,sF1),
inference(superposition,[],[f611,f42]) ).
fof(f624,plain,
one = addition(sF1,one),
inference(superposition,[],[f22,f615]) ).
fof(f710,plain,
multiplication(addition(sF1,one),sK0) = addition(sF2,sK0),
inference(superposition,[],[f110,f44]) ).
fof(f737,plain,
addition(sF2,sK0) = multiplication(one,sK0),
inference(forward_demodulation,[],[f710,f624]) ).
fof(f754,plain,
sK0 = addition(sF2,sK0),
inference(forward_demodulation,[],[f737,f28]) ).
fof(f806,plain,
zero = multiplication(domain(sK0),sF2),
inference(superposition,[],[f345,f44]) ).
fof(f2971,plain,
! [X0,X1] : multiplication(domain(addition(X0,X1)),X0) = multiplication(addition(one,domain(X1)),X0),
inference(superposition,[],[f231,f37]) ).
fof(f3041,plain,
! [X0,X1] : multiplication(one,X0) = multiplication(domain(addition(X0,X1)),X0),
inference(forward_demodulation,[],[f2971,f60]) ).
fof(f3062,plain,
! [X0,X1] : multiplication(domain(addition(X0,X1)),X0) = X0,
inference(forward_demodulation,[],[f3041,f28]) ).
fof(f3121,plain,
sF2 = multiplication(domain(sK0),sF2),
inference(superposition,[],[f3062,f754]) ).
fof(f3163,plain,
zero = sF2,
inference(forward_demodulation,[],[f3121,f806]) ).
fof(f3180,plain,
$false,
inference(forward_subsumption_resolution,[],[f3163,f45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE081+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n009.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 13:09:15 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
% 6.17/1.64 % (2023779)Detected formulas, will run a generic FOF schedule.
% 6.17/1.64 % (2023789)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2627105887:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.17/1.64 % (2023786)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=996131017:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.17/1.64 % (2023787)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1579714486:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.17/1.64 % (2023784)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=2066818565:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.17/1.64 % (2023788)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1239833243:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.17/1.64 % (2023790)dis-21_1_sil=8000:lcm=predicate:random_seed=2754791598: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)
% 6.17/1.64 % (2023785)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=4012740295:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.17/1.64 % (2023790)Refutation not found, incomplete strategy
% 6.17/1.64 % (2023790)------------------------------
% 6.17/1.64 % (2023790)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.17/1.64 % (2023790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.17/1.64 % (2023790)CaDiCaL version: 2.1.3
% 6.17/1.64 % (2023790)Termination reason: Refutation not found, incomplete strategy
% 6.17/1.64 % (2023790)Time elapsed: 0.001 s
% 6.17/1.64 % (2023790)Peak memory usage: 88 MB
% 6.17/1.64 % (2023790)Instructions burned: 1 (million)
% 6.17/1.64 % (2023789)Instruction limit reached!
% 6.17/1.64 % (2023789)------------------------------
% 6.17/1.64 % (2023789)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.17/1.64 % (2023789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.17/1.64 % (2023789)CaDiCaL version: 2.1.3
% 6.17/1.64 % (2023789)Termination reason: Instruction limit
% 6.17/1.64 % (2023789)Termination phase: Saturation
% 6.17/1.64 % (2023789)Time elapsed: 0.056 s
% 6.17/1.64 % (2023789)Peak memory usage: 89 MB
% 6.17/1.64 % (2023789)Instructions burned: 139 (million)
% 6.17/1.64 % (2023787)Instruction limit reached!
% 6.17/1.64 % (2023787)------------------------------
% 6.17/1.64 % (2023787)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.17/1.64 % (2023787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.17/1.64 % (2023787)CaDiCaL version: 2.1.3
% 6.17/1.64 % (2023787)Termination reason: Instruction limit
% 6.17/1.64 % (2023787)Termination phase: Saturation
% 6.17/1.64 % (2023787)Time elapsed: 0.065 s
% 6.17/1.64 % (2023787)Peak memory usage: 89 MB
% 6.17/1.64 % (2023787)Instructions burned: 110 (million)
% 6.17/1.64 % (2023788)Instruction limit reached!
% 6.17/1.64 % (2023788)------------------------------
% 6.17/1.64 % (2023788)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.17/1.64 % (2023788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.17/1.64 % (2023788)CaDiCaL version: 2.1.3
% 6.17/1.64 % (2023788)Termination reason: Instruction limit
% 6.17/1.64 % (2023788)Termination phase: Saturation
% 6.17/1.64 % (2023788)Time elapsed: 0.067 s
% 6.17/1.64 % (2023788)Peak memory usage: 88 MB
% 6.17/1.64 % (2023788)Instructions burned: 119 (million)
% 6.17/1.64 % (2023798)lrs+10_1_sil=8000:sp=occurrence:random_seed=2049703003:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.17/1.64 % (2023800)lrs+1011_1_sil=32000:sp=occurrence:random_seed=320838219:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.17/1.64 % (2023799)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1067135212:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.17/1.64 % (2023790)------------------------------
% 6.17/1.64 % (2023790)------------------------------
% 6.17/1.64 % (2023798)Instruction limit reached!
% 6.17/1.64 % (2023798)------------------------------
% 6.17/1.64 % (2023798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.17/1.64 % (2023798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.17/1.64 % (2023798)CaDiCaL version: 2.1.3
% 6.17/1.64 % (2023798)Termination reason: Instruction limit
% 6.17/1.64 % (2023798)Termination phase: Saturation
% 6.17/1.64 % (2023798)Time elapsed: 0.108 s
% 6.17/1.64 % (2023798)Peak memory usage: 91 MB
% 6.17/1.64 % (2023798)Instructions burned: 285 (million)
% 6.17/1.64 % (2023799)Instruction limit reached!
% 6.17/1.64 % (2023799)------------------------------
% 6.17/1.64 % (2023799)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.17/1.64 % (2023799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.17/1.64 % (2023799)CaDiCaL version: 2.1.3
% 6.17/1.64 % (2023799)Termination reason: Instruction limit
% 6.17/1.64 % (2023799)Termination phase: Saturation
% 6.17/1.64 % (2023799)Time elapsed: 0.096 s
% 6.17/1.64 % (2023799)Peak memory usage: 90 MB
% 6.17/1.64 % (2023799)Instructions burned: 157 (million)
% 6.17/1.64 % (2023804)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=1138501297:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 6.17/1.64 % (2023805)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=196089932:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.17/1.64 % (2023800)Instruction limit reached!
% 6.17/1.64 % (2023800)------------------------------
% 6.17/1.64 % (2023800)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.17/1.64 % (2023800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.17/1.64 % (2023800)CaDiCaL version: 2.1.3
% 6.17/1.64 % (2023800)Termination reason: Instruction limit
% 6.17/1.64 % (2023800)Termination phase: Saturation
% 6.17/1.64 % (2023800)Time elapsed: 0.197 s
% 6.17/1.64 % (2023800)Peak memory usage: 92 MB
% 6.17/1.64 % (2023800)Instructions burned: 325 (million)
% 6.17/1.64 % (2023806)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3295399130:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.17/1.64 % (2023805)Instruction limit reached!
% 6.17/1.64 % (2023805)------------------------------
% 6.17/1.64 % (2023805)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.17/1.64 % (2023805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.17/1.64 % (2023805)CaDiCaL version: 2.1.3
% 6.17/1.64 % (2023805)Termination reason: Instruction limit
% 6.17/1.64 % (2023805)Termination phase: Saturation
% 6.17/1.64 % (2023805)Time elapsed: 0.092 s
% 6.17/1.64 % (2023805)Peak memory usage: 91 MB
% 6.17/1.64 % (2023805)Instructions burned: 298 (million)
% 6.17/1.64 % (2023804)Instruction limit reached!
% 6.17/1.64 % (2023804)------------------------------
% 6.17/1.64 % (2023804)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.17/1.64 % (2023804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.17/1.64 % (2023804)CaDiCaL version: 2.1.3
% 6.17/1.64 % (2023804)Termination reason: Instruction limit
% 6.17/1.64 % (2023804)Termination phase: Saturation
% 6.17/1.64 % (2023804)Time elapsed: 0.155 s
% 6.17/1.64 % (2023804)Peak memory usage: 92 MB
% 6.17/1.64 % (2023804)Instructions burned: 249 (million)
% 6.17/1.64 % (2023809)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1208057267:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.17/1.64 % (2023809)Instruction limit reached!
% 6.17/1.64 % (2023809)------------------------------
% 6.17/1.64 % (2023809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.17/1.64 % (2023809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.17/1.64 % (2023809)CaDiCaL version: 2.1.3
% 6.17/1.64 % (2023809)Termination reason: Instruction limit
% 6.17/1.64 % (2023809)Termination phase: Saturation
% 6.17/1.64 % (2023809)Time elapsed: 0.071 s
% 6.17/1.64 % (2023809)Peak memory usage: 90 MB
% 6.17/1.64 % (2023809)Instructions burned: 114 (million)
% 6.17/1.64 % (2023811)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2337412217:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.17/1.64 % (2023811)Refutation not found, incomplete strategy
% 6.17/1.64 % (2023811)------------------------------
% 6.17/1.64 % (2023811)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.17/1.64 % (2023811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.68/1.83 % (2023811)CaDiCaL version: 2.1.3
% 7.68/1.83 % (2023811)Termination reason: Refutation not found, incomplete strategy
% 7.68/1.83 % (2023811)Time elapsed: 0.001 s
% 7.68/1.83 % (2023811)Peak memory usage: 87 MB
% 7.68/1.83 % (2023784)First to succeed.
% 7.68/1.83 % (2023784)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2023779"
% 7.68/1.83 % (2023812)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2692632897:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 7.68/1.83 % (2023812)Instruction limit reached!
% 7.68/1.83 % (2023812)------------------------------
% 7.68/1.83 % (2023812)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.68/1.83 % (2023812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.68/1.83 % (2023812)CaDiCaL version: 2.1.3
% 7.68/1.83 % (2023812)Termination reason: Instruction limit
% 7.68/1.83 % (2023812)Termination phase: Saturation
% 7.68/1.83 % (2023812)Time elapsed: 0.066 s
% 7.68/1.83 % (2023812)Peak memory usage: 89 MB
% 7.68/1.83 % (2023812)Instructions burned: 114 (million)
% 7.68/1.83 % (2023814)lrs+10_1_sil=8000:sp=occurrence:random_seed=937913353:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 7.68/1.83 % (2023784)Refutation found. Thanks to Tanya!
% 7.68/1.83 % SZS status Theorem for theBenchmark
% 7.68/1.83 % SZS output start Proof for theBenchmark
% See solution above
% 7.68/1.83 % (2023784)------------------------------
% 7.68/1.83 % (2023784)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.68/1.83 % (2023784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.68/1.83 % (2023784)CaDiCaL version: 2.1.3
% 7.68/1.83 % (2023784)Termination reason: Refutation
% 7.68/1.83 % (2023784)Time elapsed: 0.708 s
% 7.68/1.83 % (2023784)Peak memory usage: 132 MB
% 7.68/1.83 % (2023784)Instructions burned: 1335 (million)
% 7.68/1.83 % (2023784)------------------------------
% 7.68/1.83 % (2023784)------------------------------
% 7.68/1.83 % (2023779)Success in time 1.035 s
% 7.68/1.83 % Vampire exiting
%------------------------------------------------------------------------------