%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE100+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 : n003.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 14.48s 3.13s
% Output : Refutation 15.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 14
% Syntax : Number of formulae : 72 ( 68 unt; 0 def)
% Number of atoms : 76 ( 75 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 7 ~; 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 : 90 ( 87 !; 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(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(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(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] :
( multiplication(antidomain(X2),multiplication(X0,domain(X1))) = zero
=> addition(forward_diamond(X0,domain(X1)),domain(X2)) = domain(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f28,negated_conjecture,
~ ! [X0,X1,X2] :
( multiplication(antidomain(X2),multiplication(X0,domain(X1))) = zero
=> addition(forward_diamond(X0,domain(X1)),domain(X2)) = domain(X2) ),
inference(negated_conjecture,[status(cth)],[f27]) ).
fof(f29,plain,
? [X0,X1,X2] :
( domain(X2) != addition(forward_diamond(X0,domain(X1)),domain(X2))
& multiplication(antidomain(X2),multiplication(X0,domain(X1))) = zero ),
inference(ennf_transformation,[],[f28]) ).
fof(f30,plain,
( domain(sK2) != addition(forward_diamond(sK0,domain(sK1)),domain(sK2))
& zero = multiplication(antidomain(sK2),multiplication(sK0,domain(sK1))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f29]) ).
fof(f31,plain,
zero = multiplication(antidomain(sK2),multiplication(sK0,domain(sK1))),
inference(cnf_transformation,[],[f30]) ).
fof(f32,plain,
domain(sK2) != addition(forward_diamond(sK0,domain(sK1)),domain(sK2)),
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(f42,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
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(f48,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(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,
antidomain(antidomain(sK2)) != addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),antidomain(antidomain(sK2))),
inference(definition_unfolding,[],[f32,f46,f62,f46,f46]) ).
fof(f65,plain,
zero = multiplication(antidomain(sK2),multiplication(sK0,antidomain(antidomain(sK1)))),
inference(definition_unfolding,[],[f31,f46]) ).
fof(f66,plain,
antidomain(antidomain(sK2)) != addition(antidomain(antidomain(sK2)),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1)))))))),
inference(forward_demodulation,[],[f64,f37]) ).
fof(f80,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f37,f42]) ).
fof(f105,plain,
! [X0,X1] : multiplication(antidomain(X0),addition(X1,X0)) = addition(multiplication(antidomain(X0),X1),zero),
inference(superposition,[],[f34,f39]) ).
fof(f106,plain,
! [X0,X1] : multiplication(antidomain(X0),addition(X0,X1)) = addition(zero,multiplication(antidomain(X0),X1)),
inference(superposition,[],[f34,f39]) ).
fof(f107,plain,
! [X0,X1] : multiplication(addition(X0,antidomain(X1)),X1) = addition(multiplication(X0,X1),zero),
inference(superposition,[],[f33,f39]) ).
fof(f110,plain,
! [X0,X1] : multiplication(X0,X1) = multiplication(addition(X0,antidomain(X1)),X1),
inference(forward_demodulation,[],[f107,f42]) ).
fof(f111,plain,
! [X0,X1] : multiplication(antidomain(X0),X1) = multiplication(antidomain(X0),addition(X0,X1)),
inference(forward_demodulation,[],[f106,f80]) ).
fof(f112,plain,
! [X0,X1] : multiplication(antidomain(X0),addition(X1,X0)) = multiplication(antidomain(X0),X1),
inference(forward_demodulation,[],[f105,f42]) ).
fof(f115,plain,
! [X2,X0,X1] : multiplication(antidomain(multiplication(X1,X2)),multiplication(X0,X2)) = multiplication(antidomain(multiplication(X1,X2)),multiplication(addition(X0,X1),X2)),
inference(superposition,[],[f112,f33]) ).
fof(f129,plain,
! [X0] : multiplication(one,X0) = multiplication(antidomain(antidomain(X0)),X0),
inference(superposition,[],[f110,f47]) ).
fof(f137,plain,
! [X0] : multiplication(antidomain(antidomain(X0)),X0) = X0,
inference(forward_demodulation,[],[f129,f55]) ).
fof(f158,plain,
! [X0,X1] : multiplication(antidomain(multiplication(antidomain(X0),X1)),multiplication(antidomain(antidomain(X0)),X1)) = multiplication(antidomain(multiplication(antidomain(X0),X1)),multiplication(one,X1)),
inference(superposition,[],[f115,f47]) ).
fof(f165,plain,
! [X0,X1] : multiplication(antidomain(multiplication(antidomain(X0),X1)),multiplication(antidomain(antidomain(X0)),X1)) = multiplication(antidomain(multiplication(antidomain(X0),X1)),X1),
inference(forward_demodulation,[],[f158,f55]) ).
fof(f179,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f34,f56]) ).
fof(f184,plain,
zero = antidomain(one),
inference(superposition,[],[f39,f56]) ).
fof(f227,plain,
! [X0] : multiplication(antidomain(antidomain(antidomain(X0))),antidomain(X0)) = multiplication(antidomain(antidomain(antidomain(X0))),one),
inference(superposition,[],[f111,f47]) ).
fof(f236,plain,
! [X0] : antidomain(antidomain(antidomain(X0))) = multiplication(antidomain(antidomain(antidomain(X0))),antidomain(X0)),
inference(forward_demodulation,[],[f227,f56]) ).
fof(f239,plain,
! [X0] : antidomain(X0) = antidomain(antidomain(antidomain(X0))),
inference(forward_demodulation,[],[f236,f137]) ).
fof(f242,plain,
antidomain(antidomain(sK2)) != addition(antidomain(antidomain(sK2)),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1)))))),
inference(superposition,[],[f66,f239]) ).
fof(f266,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f36,f35]) ).
fof(f498,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),one),
inference(superposition,[],[f266,f47]) ).
fof(f515,plain,
! [X0] : one = addition(one,antidomain(antidomain(X0))),
inference(forward_demodulation,[],[f498,f37]) ).
fof(f824,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,[],[f110,f48]) ).
fof(f833,plain,
! [X0,X1] : zero = multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,antidomain(antidomain(X1)))),
inference(forward_demodulation,[],[f824,f39]) ).
fof(f1769,plain,
one = multiplication(antidomain(zero),one),
inference(superposition,[],[f137,f184]) ).
fof(f1786,plain,
one = antidomain(zero),
inference(forward_demodulation,[],[f1769,f56]) ).
fof(f1934,plain,
zero = multiplication(antidomain(zero),multiplication(antidomain(sK2),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1))))))),
inference(superposition,[],[f833,f65]) ).
fof(f2003,plain,
zero = multiplication(one,multiplication(antidomain(sK2),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1))))))),
inference(forward_demodulation,[],[f1934,f1786]) ).
fof(f2026,plain,
zero = multiplication(antidomain(sK2),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1)))))),
inference(forward_demodulation,[],[f2003,f55]) ).
fof(f2039,plain,
multiplication(antidomain(zero),multiplication(antidomain(antidomain(sK2)),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1))))))) = multiplication(antidomain(zero),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1)))))),
inference(superposition,[],[f165,f2026]) ).
fof(f2087,plain,
multiplication(one,multiplication(antidomain(antidomain(sK2)),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1))))))) = multiplication(one,antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1)))))),
inference(forward_demodulation,[],[f2039,f1786]) ).
fof(f2100,plain,
antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1))))) = multiplication(one,multiplication(antidomain(antidomain(sK2)),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1))))))),
inference(forward_demodulation,[],[f2087,f55]) ).
fof(f2107,plain,
antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1))))) = multiplication(antidomain(antidomain(sK2)),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1)))))),
inference(forward_demodulation,[],[f2100,f55]) ).
fof(f2169,plain,
addition(antidomain(antidomain(sK2)),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1)))))) = multiplication(antidomain(antidomain(sK2)),addition(one,antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1))))))),
inference(superposition,[],[f179,f2107]) ).
fof(f2181,plain,
addition(antidomain(antidomain(sK2)),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1)))))) = multiplication(antidomain(antidomain(sK2)),one),
inference(forward_demodulation,[],[f2169,f515]) ).
fof(f2198,plain,
antidomain(antidomain(sK2)) = addition(antidomain(antidomain(sK2)),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1)))))),
inference(forward_demodulation,[],[f2181,f56]) ).
fof(f2208,plain,
$false,
inference(forward_subsumption_resolution,[],[f2198,f242]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : KLE100+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.46 % Computer : n003.cluster.edu
% 0.18/0.46 % Model : x86_64 x86_64
% 0.18/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.46 % Memory : 8046.5625MB
% 0.18/0.46 % OS : Linux 6.8.0-71-generic
% 0.18/0.46 % CPULimit : 300
% 0.18/0.47 % WCLimit : 300
% 0.18/0.47 % DateTime : Sun Sep 27 13:11:57 UTC 2026
% 0.18/0.47 % CPUTime :
% 0.18/0.47 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.52 Running first-order theorem proving
% 0.22/0.52 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
% 14.48/3.13 % (519572)Detected formulas, will run a generic FOF schedule.
% 14.48/3.13 % (519585)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=2034664715:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 14.48/3.13 % (519588)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1685919741:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 14.48/3.13 % (519587)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1166990479:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 14.48/3.13 % (519586)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3443378050:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 14.48/3.13 % (519589)dis-21_1_sil=8000:lcm=predicate:random_seed=787036052: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)
% 14.48/3.13 % (519584)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=2916573916:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 14.48/3.13 % (519583)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=3195385351:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 14.48/3.13 % (519589)Refutation not found, incomplete strategy
% 14.48/3.13 % (519589)------------------------------
% 14.48/3.13 % (519589)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.48/3.13 % (519589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.48/3.13 % (519589)CaDiCaL version: 2.1.3
% 14.48/3.13 % (519589)Termination reason: Refutation not found, incomplete strategy
% 14.48/3.13 % (519589)Time elapsed: 0.003 s
% 14.48/3.13 % (519589)Peak memory usage: 88 MB
% 14.48/3.13 % (519589)Instructions burned: 1 (million)
% 14.48/3.13 % (519588)Instruction limit reached!
% 14.48/3.13 % (519588)------------------------------
% 14.48/3.13 % (519588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.48/3.13 % (519588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.48/3.13 % (519588)CaDiCaL version: 2.1.3
% 14.48/3.13 % (519588)Termination reason: Instruction limit
% 14.48/3.13 % (519588)Termination phase: Saturation
% 14.48/3.13 % (519588)Time elapsed: 0.138 s
% 14.48/3.13 % (519588)Peak memory usage: 89 MB
% 14.48/3.13 % (519588)Instructions burned: 140 (million)
% 14.48/3.13 % (519586)Instruction limit reached!
% 14.48/3.13 % (519586)------------------------------
% 14.48/3.13 % (519586)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.48/3.13 % (519586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.48/3.13 % (519586)CaDiCaL version: 2.1.3
% 14.48/3.13 % (519586)Termination reason: Instruction limit
% 14.48/3.13 % (519586)Termination phase: Saturation
% 14.48/3.13 % (519586)Time elapsed: 0.104 s
% 14.48/3.13 % (519586)Peak memory usage: 89 MB
% 14.48/3.13 % (519586)Instructions burned: 109 (million)
% 14.48/3.13 % (519587)Instruction limit reached!
% 14.48/3.13 % (519587)------------------------------
% 14.48/3.13 % (519587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.48/3.13 % (519587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.48/3.13 % (519587)CaDiCaL version: 2.1.3
% 14.48/3.13 % (519587)Termination reason: Instruction limit
% 14.48/3.13 % (519587)Termination phase: Saturation
% 14.48/3.13 % (519587)Time elapsed: 0.111 s
% 14.48/3.13 % (519587)Peak memory usage: 89 MB
% 14.48/3.13 % (519587)Instructions burned: 119 (million)
% 14.48/3.13 % (519599)lrs+10_1_sil=8000:sp=occurrence:random_seed=296103389:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 14.48/3.13 % (519600)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3202984434:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 14.48/3.13 % (519601)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3837251552:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 14.48/3.13 % (519589)------------------------------
% 14.48/3.13 % (519589)------------------------------
% 14.48/3.13 % (519599)Instruction limit reached!
% 14.48/3.13 % (519599)------------------------------
% 14.48/3.13 % (519599)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.48/3.13 % (519599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.48/3.13 % (519599)CaDiCaL version: 2.1.3
% 14.48/3.13 % (519599)Termination reason: Instruction limit
% 14.48/3.13 % (519599)Termination phase: Saturation
% 14.48/3.13 % (519599)Time elapsed: 0.200 s
% 14.48/3.13 % (519599)Peak memory usage: 92 MB
% 14.48/3.13 % (519599)Instructions burned: 286 (million)
% 14.48/3.13 % (519600)Instruction limit reached!
% 14.48/3.13 % (519600)------------------------------
% 14.48/3.13 % (519600)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.48/3.13 % (519600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.48/3.13 % (519600)CaDiCaL version: 2.1.3
% 14.48/3.13 % (519600)Termination reason: Instruction limit
% 14.48/3.13 % (519600)Termination phase: Saturation
% 14.48/3.13 % (519600)Time elapsed: 0.151 s
% 14.48/3.13 % (519600)Peak memory usage: 90 MB
% 14.48/3.13 % (519600)Instructions burned: 158 (million)
% 14.48/3.13 % (519606)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=241213890:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 14.48/3.13 % (519605)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=2295035742:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 14.48/3.13 % (519601)Instruction limit reached!
% 14.48/3.13 % (519601)------------------------------
% 14.48/3.13 % (519601)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.48/3.13 % (519601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.48/3.13 % (519601)CaDiCaL version: 2.1.3
% 14.48/3.13 % (519601)Termination reason: Instruction limit
% 14.48/3.13 % (519601)Termination phase: Saturation
% 14.48/3.13 % (519601)Time elapsed: 0.312 s
% 14.48/3.13 % (519601)Peak memory usage: 92 MB
% 14.48/3.13 % (519601)Instructions burned: 326 (million)
% 14.48/3.13 % (519607)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3563891467:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 14.48/3.13 % (519606)Instruction limit reached!
% 14.48/3.13 % (519606)------------------------------
% 14.48/3.13 % (519606)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.48/3.13 % (519606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.48/3.13 % (519606)CaDiCaL version: 2.1.3
% 14.48/3.13 % (519606)Termination reason: Instruction limit
% 14.48/3.13 % (519606)Termination phase: Saturation
% 14.48/3.13 % (519606)Time elapsed: 0.152 s
% 14.48/3.13 % (519606)Peak memory usage: 90 MB
% 14.48/3.13 % (519606)Instructions burned: 295 (million)
% 14.48/3.13 % (519605)Instruction limit reached!
% 14.48/3.13 % (519605)------------------------------
% 14.48/3.13 % (519605)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.48/3.13 % (519605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.48/3.13 % (519605)CaDiCaL version: 2.1.3
% 14.48/3.13 % (519605)Termination reason: Instruction limit
% 14.48/3.13 % (519605)Termination phase: Saturation
% 14.48/3.13 % (519605)Time elapsed: 0.234 s
% 14.48/3.13 % (519605)Peak memory usage: 92 MB
% 14.48/3.13 % (519605)Instructions burned: 248 (million)
% 14.48/3.13 % (519610)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2601886804:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 14.48/3.13 % (519612)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=926062739:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 14.48/3.13 % (519612)Refutation not found, incomplete strategy
% 14.48/3.13 % (519612)------------------------------
% 14.48/3.13 % (519612)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.48/3.13 % (519612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.48/3.13 % (519612)CaDiCaL version: 2.1.3
% 14.48/3.13 % (519612)Termination reason: Refutation not found, incomplete strategy
% 14.48/3.13 % (519612)Time elapsed: 0.001 s
% 14.48/3.13 % (519612)Peak memory usage: 88 MB
% 14.48/3.13 % (519612)Instructions burned: 1 (million)
% 14.48/3.13 % (519610)Instruction limit reached!
% 14.48/3.13 % (519610)------------------------------
% 14.48/3.13 % (519610)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.48/3.13 % (519610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.48/3.13 % (519610)CaDiCaL version: 2.1.3
% 14.48/3.13 % (519610)Termination reason: Instruction limit
% 14.48/3.13 % (519610)Termination phase: Saturation
% 14.48/3.13 % (519610)Time elapsed: 0.116 s
% 14.48/3.13 % (519610)Peak memory usage: 91 MB
% 14.48/3.13 % (519610)Instructions burned: 113 (million)
% 14.48/3.13 % (519612)------------------------------
% 14.48/3.13 % (519612)------------------------------
% 14.48/3.13 % (519613)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2967810163:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2989 on theBenchmark for (2989ds/114Mi)
% 14.48/3.13 % (519616)lrs+10_1_sil=8000:sp=occurrence:random_seed=2246133484:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2987 on theBenchmark for (2987ds/907Mi)
% 14.48/3.13 % (519613)Instruction limit reached!
% 14.48/3.13 % (519613)------------------------------
% 14.48/3.13 % (519613)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.48/3.13 % (519613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.48/3.13 % (519613)CaDiCaL version: 2.1.3
% 14.48/3.13 % (519613)Termination reason: Instruction limit
% 14.48/3.13 % (519613)Termination phase: Saturation
% 14.48/3.13 % (519613)Time elapsed: 0.106 s
% 14.48/3.13 % (519613)Peak memory usage: 89 MB
% 14.48/3.13 % (519613)Instructions burned: 114 (million)
% 14.48/3.13 % (519620)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3902233954:i=437:sd=1:aac=none:ss=included_2986 on theBenchmark for (2986ds/437Mi)
% 14.48/3.13 % (519622)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2724549269:i=5202:ss=axioms:sgt=16_2985 on theBenchmark for (2985ds/5202Mi)
% 14.48/3.13 % (519584)First to succeed.
% 14.48/3.13 % (519584)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-519572"
% 14.48/3.13 % (519620)Instruction limit reached!
% 14.48/3.13 % (519620)------------------------------
% 14.48/3.13 % (519620)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.48/3.13 % (519620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.48/3.13 % (519620)CaDiCaL version: 2.1.3
% 14.48/3.13 % (519620)Termination reason: Instruction limit
% 14.48/3.13 % (519620)Termination phase: Saturation
% 14.48/3.13 % (519620)Time elapsed: 0.210 s
% 14.48/3.13 % (519620)Peak memory usage: 91 MB
% 14.48/3.13 % (519620)Instructions burned: 439 (million)
% 14.48/3.13 % (519625)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=305277964:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2983 on theBenchmark for (2983ds/134Mi)
% 14.48/3.13 % (519625)Refutation not found, incomplete strategy
% 14.48/3.13 % (519625)------------------------------
% 14.48/3.13 % (519625)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.48/3.13 % (519625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.48/3.13 % (519625)CaDiCaL version: 2.1.3
% 14.48/3.13 % (519625)Termination reason: Refutation not found, incomplete strategy
% 14.48/3.13 % (519625)Time elapsed: 0.003 s
% 14.48/3.13 % (519625)Peak memory usage: 88 MB
% 14.48/3.13 % (519625)Instructions burned: 1 (million)
% 14.48/3.13 % (519583)Also succeeded, but the first one will report.
% 14.48/3.13 % (519584)Refutation found. Thanks to Tanya!
% 14.48/3.13 % SZS status Theorem for theBenchmark
% 14.48/3.13 % SZS output start Proof for theBenchmark
% See solution above
% 15.34/3.43 % (519584)------------------------------
% 15.34/3.43 % (519584)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.34/3.43 % (519584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.34/3.43 % (519584)CaDiCaL version: 2.1.3
% 15.34/3.43 % (519584)Termination reason: Refutation
% 15.34/3.43 % (519584)Time elapsed: 1.410 s
% 15.34/3.43 % (519584)Peak memory usage: 132 MB
% 15.34/3.43 % (519584)Instructions burned: 1291 (million)
% 15.34/3.43 % (519584)------------------------------
% 15.34/3.43 % (519584)------------------------------
% 15.34/3.43 % (519572)Success in time 2.077 s
% 15.34/3.43 % Vampire exiting
%------------------------------------------------------------------------------