%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE099+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 11:40:19 AM UTC 2026
% Result : Theorem 4.50s 1.57s
% Output : Refutation 5.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 15
% Syntax : Number of formulae : 65 ( 61 unt; 0 def)
% Number of atoms : 69 ( 68 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 87 ( 84 !; 3 ?)
% 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(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(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(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(f23,axiom,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',forward_diamond) ).
fof(f27,conjecture,
! [X0,X1,X2] :
( addition(forward_diamond(X0,domain(X1)),domain(X2)) = domain(X2)
=> multiplication(antidomain(X2),multiplication(X0,domain(X1))) = zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f28,negated_conjecture,
~ ! [X0,X1,X2] :
( addition(forward_diamond(X0,domain(X1)),domain(X2)) = domain(X2)
=> multiplication(antidomain(X2),multiplication(X0,domain(X1))) = zero ),
inference(negated_conjecture,[status(cth)],[f27]) ).
fof(f29,plain,
? [X0,X1,X2] :
( zero != multiplication(antidomain(X2),multiplication(X0,domain(X1)))
& addition(forward_diamond(X0,domain(X1)),domain(X2)) = domain(X2) ),
inference(ennf_transformation,[],[f28]) ).
fof(f30,plain,
( zero != multiplication(antidomain(sK2),multiplication(sK0,domain(sK1)))
& domain(sK2) = addition(forward_diamond(sK0,domain(sK1)),domain(sK2)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f29]) ).
fof(f31,plain,
domain(sK2) = addition(forward_diamond(sK0,domain(sK1)),domain(sK2)),
inference(cnf_transformation,[],[f30]) ).
fof(f32,plain,
zero != multiplication(antidomain(sK2),multiplication(sK0,domain(sK1))),
inference(cnf_transformation,[],[f30]) ).
fof(f33,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f34,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f35,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f36,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f37,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f39,plain,
! [X0] : zero = multiplication(antidomain(X0),X0),
inference(cnf_transformation,[],[f13]) ).
fof(f40,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f42,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f43,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f46,plain,
! [X0] : antidomain(antidomain(X0)) = domain(X0),
inference(cnf_transformation,[],[f16]) ).
fof(f47,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
inference(cnf_transformation,[],[f15]) ).
fof(f49,plain,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[],[f23]) ).
fof(f55,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f56,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f62,plain,
! [X0,X1] : forward_diamond(X0,X1) = antidomain(antidomain(multiplication(X0,antidomain(antidomain(X1))))),
inference(definition_unfolding,[],[f49,f46,f46]) ).
fof(f64,plain,
zero != multiplication(antidomain(sK2),multiplication(sK0,antidomain(antidomain(sK1)))),
inference(definition_unfolding,[],[f32,f46]) ).
fof(f65,plain,
antidomain(antidomain(sK2)) = addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),antidomain(antidomain(sK2))),
inference(definition_unfolding,[],[f31,f46,f62,f46,f46]) ).
fof(f66,plain,
antidomain(antidomain(sK2)) = addition(antidomain(antidomain(sK2)),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1)))))))),
inference(forward_demodulation,[],[f65,f37]) ).
fof(f72,plain,
! [X0,X1] : multiplication(antidomain(X0),addition(X0,X1)) = addition(zero,multiplication(antidomain(X0),X1)),
inference(superposition,[],[f34,f39]) ).
fof(f114,plain,
! [X0,X1] : multiplication(antidomain(X0),multiplication(X0,X1)) = multiplication(zero,X1),
inference(superposition,[],[f43,f39]) ).
fof(f129,plain,
! [X0,X1] : zero = multiplication(antidomain(X0),multiplication(X0,X1)),
inference(forward_demodulation,[],[f114,f40]) ).
fof(f145,plain,
! [X0,X1] : multiplication(addition(X0,antidomain(X1)),X1) = addition(multiplication(X0,X1),zero),
inference(superposition,[],[f33,f39]) ).
fof(f160,plain,
! [X0,X1] : multiplication(X0,X1) = multiplication(addition(X0,antidomain(X1)),X1),
inference(forward_demodulation,[],[f145,f42]) ).
fof(f194,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f37,f42]) ).
fof(f195,plain,
! [X0] : multiplication(one,X0) = multiplication(antidomain(antidomain(X0)),X0),
inference(superposition,[],[f160,f47]) ).
fof(f210,plain,
! [X0] : multiplication(antidomain(antidomain(X0)),X0) = X0,
inference(forward_demodulation,[],[f195,f55]) ).
fof(f230,plain,
! [X0] : addition(zero,multiplication(antidomain(antidomain(antidomain(X0))),antidomain(X0))) = multiplication(antidomain(antidomain(antidomain(X0))),one),
inference(superposition,[],[f72,f47]) ).
fof(f261,plain,
! [X0] : antidomain(antidomain(antidomain(X0))) = addition(zero,multiplication(antidomain(antidomain(antidomain(X0))),antidomain(X0))),
inference(forward_demodulation,[],[f230,f56]) ).
fof(f280,plain,
! [X0] : antidomain(antidomain(antidomain(X0))) = multiplication(antidomain(antidomain(antidomain(X0))),antidomain(X0)),
inference(forward_demodulation,[],[f261,f194]) ).
fof(f287,plain,
! [X0] : antidomain(X0) = antidomain(antidomain(antidomain(X0))),
inference(forward_demodulation,[],[f280,f210]) ).
fof(f322,plain,
antidomain(antidomain(sK2)) = addition(antidomain(antidomain(sK2)),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1)))))),
inference(superposition,[],[f66,f287]) ).
fof(f590,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f36,f35]) ).
fof(f598,plain,
! [X0,X1] : addition(one,X1) = addition(antidomain(antidomain(X0)),addition(antidomain(X0),X1)),
inference(superposition,[],[f36,f47]) ).
fof(f605,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)),
inference(superposition,[],[f37,f36]) ).
fof(f615,plain,
! [X0,X1] : addition(one,X1) = addition(antidomain(X0),addition(X1,antidomain(antidomain(X0)))),
inference(forward_demodulation,[],[f598,f605]) ).
fof(f899,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),one),
inference(superposition,[],[f590,f47]) ).
fof(f917,plain,
! [X0] : one = addition(one,antidomain(antidomain(X0))),
inference(forward_demodulation,[],[f899,f37]) ).
fof(f1231,plain,
addition(one,antidomain(antidomain(sK2))) = addition(antidomain(multiplication(sK0,antidomain(antidomain(sK1)))),antidomain(antidomain(sK2))),
inference(superposition,[],[f615,f322]) ).
fof(f1255,plain,
addition(one,antidomain(antidomain(sK2))) = addition(antidomain(antidomain(sK2)),antidomain(multiplication(sK0,antidomain(antidomain(sK1))))),
inference(forward_demodulation,[],[f1231,f37]) ).
fof(f1268,plain,
one = addition(antidomain(antidomain(sK2)),antidomain(multiplication(sK0,antidomain(antidomain(sK1))))),
inference(forward_demodulation,[],[f1255,f917]) ).
fof(f1274,plain,
multiplication(antidomain(antidomain(sK2)),multiplication(sK0,antidomain(antidomain(sK1)))) = multiplication(one,multiplication(sK0,antidomain(antidomain(sK1)))),
inference(superposition,[],[f160,f1268]) ).
fof(f1292,plain,
multiplication(sK0,antidomain(antidomain(sK1))) = multiplication(antidomain(antidomain(sK2)),multiplication(sK0,antidomain(antidomain(sK1)))),
inference(forward_demodulation,[],[f1274,f55]) ).
fof(f1329,plain,
zero = multiplication(antidomain(antidomain(antidomain(sK2))),multiplication(sK0,antidomain(antidomain(sK1)))),
inference(superposition,[],[f129,f1292]) ).
fof(f1336,plain,
zero = multiplication(antidomain(sK2),multiplication(sK0,antidomain(antidomain(sK1)))),
inference(forward_demodulation,[],[f1329,f287]) ).
fof(f1343,plain,
$false,
inference(forward_subsumption_resolution,[],[f1336,f64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE099+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n007.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 13:07:55 UTC 2026
% 0.15/0.38 % CPUTime :
% 0.15/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.42 Running first-order theorem proving
% 0.15/0.42 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
% 4.50/1.57 % (1403406)Detected formulas, will run a generic FOF schedule.
% 4.50/1.57 % (1403412)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=3410843943:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.50/1.57 % (1403413)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=2710093154:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.50/1.57 % (1403415)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=59797825:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.50/1.57 % (1403414)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2913161934:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.50/1.57 % (1403417)dis-21_1_sil=8000:lcm=predicate:random_seed=3467656427: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)
% 4.50/1.57 % (1403416)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3691473269:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.50/1.57 % (1403411)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=2940415631:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.50/1.57 % (1403417)Refutation not found, incomplete strategy
% 4.50/1.57 % (1403417)------------------------------
% 4.50/1.57 % (1403417)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.50/1.57 % (1403417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.50/1.57 % (1403417)CaDiCaL version: 2.1.3
% 4.50/1.57 % (1403417)Termination reason: Refutation not found, incomplete strategy
% 4.50/1.57 % (1403417)Time elapsed: 0.002 s
% 4.50/1.57 % (1403417)Peak memory usage: 88 MB
% 4.50/1.57 % (1403417)Instructions burned: 1 (million)
% 4.50/1.57 % (1403414)Instruction limit reached!
% 4.50/1.57 % (1403414)------------------------------
% 4.50/1.57 % (1403414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.50/1.57 % (1403414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.50/1.57 % (1403414)CaDiCaL version: 2.1.3
% 4.50/1.57 % (1403414)Termination reason: Instruction limit
% 4.50/1.57 % (1403414)Termination phase: Saturation
% 4.50/1.57 % (1403414)Time elapsed: 0.061 s
% 4.50/1.57 % (1403414)Peak memory usage: 88 MB
% 4.50/1.57 % (1403414)Instructions burned: 110 (million)
% 4.50/1.57 % (1403415)Instruction limit reached!
% 4.50/1.57 % (1403415)------------------------------
% 4.50/1.57 % (1403415)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.50/1.57 % (1403415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.50/1.57 % (1403415)CaDiCaL version: 2.1.3
% 4.50/1.57 % (1403415)Termination reason: Instruction limit
% 4.50/1.57 % (1403415)Termination phase: Saturation
% 4.50/1.57 % (1403415)Time elapsed: 0.065 s
% 4.50/1.57 % (1403415)Peak memory usage: 88 MB
% 4.50/1.57 % (1403415)Instructions burned: 120 (million)
% 4.50/1.57 % (1403416)Instruction limit reached!
% 4.50/1.57 % (1403416)------------------------------
% 4.50/1.57 % (1403416)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.50/1.57 % (1403416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.50/1.57 % (1403416)CaDiCaL version: 2.1.3
% 4.50/1.57 % (1403416)Termination reason: Instruction limit
% 4.50/1.57 % (1403416)Termination phase: Saturation
% 4.50/1.57 % (1403416)Time elapsed: 0.080 s
% 4.50/1.57 % (1403416)Peak memory usage: 89 MB
% 4.50/1.57 % (1403416)Instructions burned: 140 (million)
% 4.50/1.57 % (1403425)lrs+10_1_sil=8000:sp=occurrence:random_seed=2545008471:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.50/1.57 % (1403426)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3823348000:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.50/1.57 % (1403417)------------------------------
% 4.50/1.57 % (1403417)------------------------------
% 4.50/1.57 % (1403427)lrs+1011_1_sil=32000:sp=occurrence:random_seed=995203310:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.50/1.57 % (1403426)Instruction limit reached!
% 4.50/1.57 % (1403426)------------------------------
% 4.50/1.57 % (1403426)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.50/1.57 % (1403426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.50/1.57 % (1403426)CaDiCaL version: 2.1.3
% 4.50/1.57 % (1403426)Termination reason: Instruction limit
% 4.50/1.57 % (1403426)Termination phase: Saturation
% 4.50/1.57 % (1403426)Time elapsed: 0.093 s
% 4.50/1.57 % (1403426)Peak memory usage: 90 MB
% 4.50/1.57 % (1403426)Instructions burned: 157 (million)
% 4.50/1.57 % (1403412)First to succeed.
% 4.50/1.57 % (1403412)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1403406"
% 4.50/1.57 % (1403425)Instruction limit reached!
% 4.50/1.57 % (1403425)------------------------------
% 4.50/1.57 % (1403425)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.50/1.57 % (1403425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.50/1.57 % (1403425)CaDiCaL version: 2.1.3
% 4.50/1.57 % (1403425)Termination reason: Instruction limit
% 4.50/1.57 % (1403425)Termination phase: Saturation
% 4.50/1.57 % (1403425)Time elapsed: 0.170 s
% 4.50/1.57 % (1403425)Peak memory usage: 91 MB
% 4.50/1.57 % (1403425)Instructions burned: 285 (million)
% 4.50/1.57 % (1403431)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=3261247431:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 4.50/1.57 % (1403427)Instruction limit reached!
% 4.50/1.57 % (1403427)------------------------------
% 4.50/1.57 % (1403427)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.50/1.57 % (1403427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.50/1.57 % (1403427)CaDiCaL version: 2.1.3
% 4.50/1.57 % (1403427)Termination reason: Instruction limit
% 4.50/1.57 % (1403427)Termination phase: Saturation
% 4.50/1.57 % (1403427)Time elapsed: 0.192 s
% 4.50/1.57 % (1403427)Peak memory usage: 91 MB
% 4.50/1.57 % (1403427)Instructions burned: 325 (million)
% 4.50/1.57 % (1403432)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=268050882:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.50/1.57 % (1403412)Refutation found. Thanks to Tanya!
% 4.50/1.57 % SZS status Theorem for theBenchmark
% 4.50/1.57 % SZS output start Proof for theBenchmark
% See solution above
% 5.59/1.77 % (1403412)------------------------------
% 5.59/1.77 % (1403412)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.59/1.77 % (1403412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.77 % (1403412)CaDiCaL version: 2.1.3
% 5.59/1.77 % (1403412)Termination reason: Refutation
% 5.59/1.77 % (1403412)Time elapsed: 0.415 s
% 5.59/1.77 % (1403412)Peak memory usage: 130 MB
% 5.59/1.77 % (1403412)Instructions burned: 1108 (million)
% 5.59/1.77 % (1403412)------------------------------
% 5.59/1.77 % (1403412)------------------------------
% 5.59/1.77 % (1403406)Success in time 0.709 s
% 5.59/1.77 % Vampire exiting
%------------------------------------------------------------------------------