%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE040+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 : n011.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 11:40:10 AM UTC 2026
% Result : Theorem 6.55s 2.61s
% Output : Refutation 12.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 12
% Syntax : Number of formulae : 74 ( 65 unt; 0 def)
% Number of atoms : 85 ( 61 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 24 ( 13 ~; 8 |; 1 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 120 ( 119 !; 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(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(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order) ).
fof(f13,axiom,
! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',star_unfold_right) ).
fof(f14,axiom,
! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',star_unfold_left) ).
fof(f15,axiom,
! [X0,X1,X2] :
( leq(addition(multiplication(X0,X1),X2),X1)
=> leq(multiplication(star(X0),X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',star_induction_left) ).
fof(f17,conjecture,
! [X0] : multiplication(star(X0),star(X0)) = star(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0] : multiplication(star(X0),star(X0)) = star(X0),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
? [X0] : star(X0) != multiplication(star(X0),star(X0)),
inference(ennf_transformation,[],[f18]) ).
fof(f21,plain,
! [X0,X1,X2] :
( leq(multiplication(star(X0),X2),X1)
| ~ leq(addition(multiplication(X0,X1),X2),X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f22,plain,
star(sK0) != multiplication(star(sK0),star(sK0)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f19]) ).
fof(f23,plain,
! [X0,X1] :
( ( leq(X0,X1)
| addition(X0,X1) != X1 )
& ( addition(X0,X1) = X1
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f24,plain,
star(sK0) != multiplication(star(sK0),star(sK0)),
inference(cnf_transformation,[],[f22]) ).
fof(f27,plain,
! [X2,X0,X1] :
( ~ leq(addition(multiplication(X0,X1),X2),X1)
| leq(multiplication(star(X0),X2),X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f28,plain,
! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0)),
inference(cnf_transformation,[],[f14]) ).
fof(f29,plain,
! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f30,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f31,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f32,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f33,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f34,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f35,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f23]) ).
fof(f37,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f38,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f44,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f30,f37]) ).
fof(f77,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f31,f38]) ).
fof(f91,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,X1),addition(multiplication(X0,X2),X3)) = addition(multiplication(X0,addition(X1,X2)),X3),
inference(superposition,[],[f33,f31]) ).
fof(f102,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)),
inference(superposition,[],[f34,f33]) ).
fof(f105,plain,
! [X0] : star(X0) = addition(addition(one,multiplication(star(X0),X0)),star(X0)),
inference(resolution,[],[f28,f35]) ).
fof(f109,plain,
! [X0] : star(X0) = addition(star(X0),addition(one,multiplication(star(X0),X0))),
inference(forward_demodulation,[],[f105,f34]) ).
fof(f110,plain,
! [X0] : star(X0) = addition(one,addition(multiplication(star(X0),X0),star(X0))),
inference(forward_demodulation,[],[f109,f102]) ).
fof(f111,plain,
! [X0] : star(X0) = addition(one,addition(star(X0),multiplication(star(X0),X0))),
inference(forward_demodulation,[],[f110,f34]) ).
fof(f112,plain,
! [X0] : star(X0) = addition(one,multiplication(star(X0),addition(one,X0))),
inference(forward_demodulation,[],[f111,f77]) ).
fof(f121,plain,
! [X0] : star(X0) = addition(addition(one,multiplication(X0,star(X0))),star(X0)),
inference(resolution,[],[f29,f35]) ).
fof(f124,plain,
! [X0] : star(X0) = addition(star(X0),addition(one,multiplication(X0,star(X0)))),
inference(forward_demodulation,[],[f121,f34]) ).
fof(f125,plain,
! [X0] : star(X0) = addition(one,addition(multiplication(X0,star(X0)),star(X0))),
inference(forward_demodulation,[],[f124,f102]) ).
fof(f126,plain,
! [X0] : star(X0) = addition(one,addition(star(X0),multiplication(X0,star(X0)))),
inference(forward_demodulation,[],[f125,f34]) ).
fof(f127,plain,
! [X0] : star(X0) = addition(one,multiplication(addition(one,X0),star(X0))),
inference(forward_demodulation,[],[f126,f44]) ).
fof(f147,plain,
! [X2,X0,X1] :
( ~ leq(addition(X0,multiplication(X1,X2)),X2)
| leq(multiplication(star(X1),X0),X2) ),
inference(superposition,[],[f27,f34]) ).
fof(f160,plain,
! [X0] : multiplication(addition(one,X0),X0) = multiplication(X0,addition(one,X0)),
inference(superposition,[],[f44,f77]) ).
fof(f189,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f33,f32]) ).
fof(f190,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X1,addition(X0,X1))),
inference(superposition,[],[f33,f32]) ).
fof(f207,plain,
! [X0] : star(X0) = addition(one,star(X0)),
inference(superposition,[],[f189,f112]) ).
fof(f239,plain,
! [X0,X1] : addition(star(X0),X1) = addition(one,addition(multiplication(addition(one,X0),star(X0)),X1)),
inference(superposition,[],[f33,f127]) ).
fof(f256,plain,
! [X0] : leq(multiplication(star(X0),one),star(X0)),
inference(resolution,[],[f147,f29]) ).
fof(f263,plain,
! [X0,X1] :
( ~ leq(multiplication(addition(one,X0),X1),X1)
| leq(multiplication(star(X0),X1),X1) ),
inference(superposition,[],[f147,f44]) ).
fof(f274,plain,
! [X0] : leq(star(X0),star(X0)),
inference(forward_demodulation,[],[f256,f38]) ).
fof(f287,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,[],[f91,f30]) ).
fof(f347,plain,
! [X2,X0,X1] : addition(multiplication(X1,one),multiplication(addition(X1,X2),star(X0))) = addition(multiplication(X1,star(X0)),multiplication(X2,star(X0))),
inference(superposition,[],[f287,f207]) ).
fof(f426,plain,
! [X2,X0,X1] : multiplication(addition(X1,X2),star(X0)) = addition(multiplication(X1,one),multiplication(addition(X1,X2),star(X0))),
inference(forward_demodulation,[],[f347,f30]) ).
fof(f452,plain,
! [X2,X0,X1] : multiplication(addition(X1,X2),star(X0)) = addition(X1,multiplication(addition(X1,X2),star(X0))),
inference(forward_demodulation,[],[f426,f38]) ).
fof(f609,plain,
! [X0,X1] : addition(star(X0),multiplication(X1,star(X0))) = addition(one,multiplication(addition(addition(one,X0),X1),star(X0))),
inference(superposition,[],[f239,f30]) ).
fof(f624,plain,
! [X0,X1] : addition(star(X0),multiplication(X1,star(X0))) = addition(one,multiplication(addition(one,addition(X0,X1)),star(X0))),
inference(forward_demodulation,[],[f609,f33]) ).
fof(f634,plain,
! [X0,X1] : addition(star(X0),multiplication(X1,star(X0))) = multiplication(addition(one,addition(X0,X1)),star(X0)),
inference(forward_demodulation,[],[f624,f452]) ).
fof(f641,plain,
! [X0,X1] : multiplication(addition(one,addition(X0,X1)),star(X0)) = multiplication(addition(one,X1),star(X0)),
inference(forward_demodulation,[],[f634,f44]) ).
fof(f673,plain,
! [X0,X1] : multiplication(addition(one,X0),star(X1)) = multiplication(addition(one,addition(X0,X1)),star(X1)),
inference(superposition,[],[f641,f34]) ).
fof(f923,plain,
! [X0] : multiplication(addition(one,X0),star(X0)) = multiplication(addition(one,addition(one,X0)),star(X0)),
inference(superposition,[],[f641,f190]) ).
fof(f959,plain,
! [X0] : multiplication(addition(one,X0),star(X0)) = multiplication(addition(one,one),star(X0)),
inference(forward_demodulation,[],[f923,f673]) ).
fof(f1006,plain,
! [X0] : multiplication(addition(one,X0),star(X0)) = multiplication(one,star(X0)),
inference(forward_demodulation,[],[f959,f32]) ).
fof(f1038,plain,
! [X0] : star(X0) = multiplication(addition(one,X0),star(X0)),
inference(forward_demodulation,[],[f1006,f37]) ).
fof(f1114,plain,
! [X0] :
( ~ leq(star(X0),star(X0))
| leq(multiplication(star(X0),star(X0)),star(X0)) ),
inference(superposition,[],[f263,f1038]) ).
fof(f1144,plain,
! [X0] : leq(multiplication(star(X0),star(X0)),star(X0)),
inference(forward_subsumption_resolution,[],[f1114,f274]) ).
fof(f1169,plain,
! [X0] : star(X0) = addition(multiplication(star(X0),star(X0)),star(X0)),
inference(resolution,[],[f1144,f35]) ).
fof(f1170,plain,
! [X0] : star(X0) = addition(star(X0),multiplication(star(X0),star(X0))),
inference(forward_demodulation,[],[f1169,f34]) ).
fof(f1171,plain,
! [X0] : star(X0) = multiplication(addition(one,star(X0)),star(X0)),
inference(forward_demodulation,[],[f1170,f44]) ).
fof(f1172,plain,
! [X0] : star(X0) = multiplication(star(X0),addition(one,star(X0))),
inference(forward_demodulation,[],[f1171,f160]) ).
fof(f1173,plain,
! [X0] : star(X0) = multiplication(star(X0),star(X0)),
inference(forward_demodulation,[],[f1172,f207]) ).
fof(f1175,plain,
star(sK0) != star(sK0),
inference(superposition,[],[f24,f1173]) ).
fof(f1196,plain,
$false,
inference(trivial_inequality_removal,[],[f1175]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : KLE040+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.42 % Computer : n011.cluster.edu
% 0.18/0.42 % Model : x86_64 x86_64
% 0.18/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.42 % Memory : 8046.5625MB
% 0.18/0.42 % OS : Linux 6.8.0-71-generic
% 0.18/0.42 % CPULimit : 300
% 0.18/0.42 % WCLimit : 300
% 0.18/0.42 % DateTime : Sun Sep 27 13:05:30 UTC 2026
% 0.18/0.42 % CPUTime :
% 0.18/0.42 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.48 Running first-order theorem proving
% 0.23/0.48 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
% 6.55/2.61 % (2386394)Detected formulas, will run a generic FOF schedule.
% 6.55/2.61 % (2386403)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2301709301:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.55/2.61 % (2386405)dis-21_1_sil=8000:lcm=predicate:random_seed=1012175071: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)
% 6.55/2.61 % (2386405)Refutation not found, incomplete strategy
% 6.55/2.61 % (2386405)------------------------------
% 6.55/2.61 % (2386405)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/2.61 % (2386405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/2.61 % (2386405)CaDiCaL version: 2.1.3
% 6.55/2.61 % (2386405)Termination reason: Refutation not found, incomplete strategy
% 6.55/2.61 % (2386405)Time elapsed: 0.003 s
% 6.55/2.61 % (2386405)Peak memory usage: 88 MB
% 6.55/2.61 % (2386405)Instructions burned: 1 (million)
% 6.55/2.61 % (2386403)Instruction limit reached!
% 6.55/2.61 % (2386403)------------------------------
% 6.55/2.61 % (2386403)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/2.61 % (2386403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/2.61 % (2386403)CaDiCaL version: 2.1.3
% 6.55/2.61 % (2386403)Termination reason: Instruction limit
% 6.55/2.61 % (2386403)Termination phase: Saturation
% 6.55/2.61 % (2386403)Time elapsed: 0.054 s
% 6.55/2.61 % (2386403)Peak memory usage: 88 MB
% 6.55/2.61 % (2386403)Instructions burned: 119 (million)
% 6.55/2.61 % (2386400)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=742682731:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.55/2.61 % (2386399)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=257228487:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.55/2.61 % (2386401)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=2417362920:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.55/2.61 % (2386404)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2511346863:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.55/2.61 % (2386402)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=366871872:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.55/2.61 % (2386402)Refutation not found, incomplete strategy
% 6.55/2.61 % (2386402)------------------------------
% 6.55/2.61 % (2386402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/2.61 % (2386402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/2.61 % (2386402)CaDiCaL version: 2.1.3
% 6.55/2.61 % (2386402)Termination reason: Refutation not found, incomplete strategy
% 6.55/2.61 % (2386402)Time elapsed: 0.002 s
% 6.55/2.61 % (2386402)Peak memory usage: 88 MB
% 6.55/2.61 % (2386404)Instruction limit reached!
% 6.55/2.61 % (2386404)------------------------------
% 6.55/2.61 % (2386404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/2.61 % (2386404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/2.61 % (2386404)CaDiCaL version: 2.1.3
% 6.55/2.61 % (2386404)Termination reason: Instruction limit
% 6.55/2.61 % (2386404)Termination phase: Saturation
% 6.55/2.61 % (2386404)Time elapsed: 0.137 s
% 6.55/2.61 % (2386404)Peak memory usage: 90 MB
% 6.55/2.61 % (2386404)Instructions burned: 140 (million)
% 6.55/2.61 % (2386408)lrs+10_1_sil=8000:sp=occurrence:random_seed=3990298992:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.55/2.61 % (2386405)------------------------------
% 6.55/2.61 % (2386405)------------------------------
% 6.55/2.61 % (2386414)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3551075583:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 6.55/2.61 % (2386408)Instruction limit reached!
% 6.55/2.61 % (2386408)------------------------------
% 6.55/2.61 % (2386408)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/2.61 % (2386408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/2.61 % (2386408)CaDiCaL version: 2.1.3
% 6.55/2.61 % (2386408)Termination reason: Instruction limit
% 6.55/2.61 % (2386408)Termination phase: Saturation
% 6.55/2.61 % (2386408)Time elapsed: 0.157 s
% 6.55/2.61 % (2386408)Peak memory usage: 91 MB
% 6.55/2.61 % (2386408)Instructions burned: 286 (million)
% 6.55/2.61 % (2386402)------------------------------
% 6.55/2.61 % (2386402)------------------------------
% 6.55/2.61 % (2386414)Instruction limit reached!
% 6.55/2.61 % (2386414)------------------------------
% 6.55/2.61 % (2386414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/2.61 % (2386414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/2.61 % (2386414)CaDiCaL version: 2.1.3
% 6.55/2.61 % (2386414)Termination reason: Instruction limit
% 6.55/2.61 % (2386414)Termination phase: Saturation
% 6.55/2.61 % (2386414)Time elapsed: 0.139 s
% 6.55/2.61 % (2386414)Peak memory usage: 90 MB
% 6.55/2.61 % (2386414)Instructions burned: 157 (million)
% 6.55/2.61 % (2386416)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2447936464:i=325:sd=1:ss=axioms:sgt=32_2994 on theBenchmark for (2994ds/325Mi)
% 6.55/2.61 % (2386418)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=3012544301:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 6.55/2.61 % (2386419)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2520192696:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 6.55/2.61 % (2386419)Refutation not found, incomplete strategy
% 6.55/2.61 % (2386419)------------------------------
% 6.55/2.61 % (2386419)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/2.61 % (2386419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/2.61 % (2386419)CaDiCaL version: 2.1.3
% 6.55/2.61 % (2386419)Termination reason: Refutation not found, incomplete strategy
% 6.55/2.61 % (2386419)Time elapsed: 0.001 s
% 6.55/2.61 % (2386419)Peak memory usage: 88 MB
% 6.55/2.61 % (2386419)Instructions burned: 1 (million)
% 6.55/2.61 % (2386420)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2498777197:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 6.55/2.61 % (2386418)Instruction limit reached!
% 6.55/2.61 % (2386418)------------------------------
% 6.55/2.61 % (2386418)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/2.61 % (2386418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/2.61 % (2386418)CaDiCaL version: 2.1.3
% 6.55/2.61 % (2386418)Termination reason: Instruction limit
% 6.55/2.61 % (2386418)Termination phase: Saturation
% 6.55/2.61 % (2386418)Time elapsed: 0.250 s
% 6.55/2.61 % (2386418)Peak memory usage: 91 MB
% 6.55/2.61 % (2386418)Instructions burned: 248 (million)
% 6.55/2.61 % (2386419)------------------------------
% 6.55/2.61 % (2386419)------------------------------
% 6.55/2.61 % (2386416)Instruction limit reached!
% 6.55/2.61 % (2386416)------------------------------
% 6.55/2.61 % (2386416)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/2.61 % (2386416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/2.61 % (2386416)CaDiCaL version: 2.1.3
% 6.55/2.61 % (2386416)Termination reason: Instruction limit
% 6.55/2.61 % (2386416)Termination phase: Saturation
% 6.55/2.61 % (2386416)Time elapsed: 0.300 s
% 6.55/2.61 % (2386416)Peak memory usage: 91 MB
% 6.55/2.61 % (2386416)Instructions burned: 325 (million)
% 6.55/2.61 % (2386401)Refutation not found, incomplete strategy
% 6.55/2.61 % (2386401)------------------------------
% 6.55/2.61 % (2386401)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/2.61 % (2386401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/2.61 % (2386401)CaDiCaL version: 2.1.3
% 6.55/2.61 % (2386401)Termination reason: Refutation not found, incomplete strategy
% 6.55/2.61 % (2386401)Time elapsed: 0.950 s
% 6.55/2.61 % (2386401)Peak memory usage: 127 MB
% 6.55/2.61 % (2386401)Instructions burned: 887 (million)
% 6.55/2.61 % (2386400)First to succeed.
% 6.55/2.61 % (2386400)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2386394"
% 6.55/2.61 % (2386425)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3789115837:cts=off:i=113:fsr=off:ss=included:sgt=4_2988 on theBenchmark for (2988ds/113Mi)
% 6.55/2.61 % (2386425)Refutation not found, incomplete strategy
% 6.55/2.61 % (2386425)------------------------------
% 6.55/2.61 % (2386425)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/2.61 % (2386425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/2.61 % (2386425)CaDiCaL version: 2.1.3
% 6.55/2.61 % (2386425)Termination reason: Refutation not found, incomplete strategy
% 6.55/2.61 % (2386425)Time elapsed: 0.002 s
% 6.55/2.61 % (2386425)Peak memory usage: 88 MB
% 6.55/2.61 % (2386399)Also succeeded, but the first one will report.
% 6.55/2.61 % (2386426)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3255670202:i=127:av=off:fsr=off:sup=off_2988 on theBenchmark for (2988ds/127Mi)
% 6.55/2.61 % (2386426)Refutation not found, incomplete strategy
% 6.55/2.61 % (2386426)------------------------------
% 6.55/2.61 % (2386426)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/2.61 % (2386426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/2.61 % (2386426)CaDiCaL version: 2.1.3
% 6.55/2.61 % (2386426)Termination reason: Refutation not found, incomplete strategy
% 6.55/2.61 % (2386426)Time elapsed: 0.002 s
% 6.55/2.61 % (2386426)Peak memory usage: 87 MB
% 6.55/2.61 % (2386427)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2829089913:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2988 on theBenchmark for (2988ds/114Mi)
% 6.55/2.61 % (2386427)Refutation not found, incomplete strategy
% 6.55/2.61 % (2386427)------------------------------
% 6.55/2.61 % (2386427)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/2.61 % (2386427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/2.61 % (2386427)CaDiCaL version: 2.1.3
% 6.55/2.61 % (2386427)Termination reason: Refutation not found, incomplete strategy
% 6.55/2.61 % (2386427)Time elapsed: 0.002 s
% 6.55/2.61 % (2386427)Peak memory usage: 88 MB
% 6.55/2.61 % (2386400)Refutation found. Thanks to Tanya!
% 6.55/2.61 % SZS status Theorem for theBenchmark
% 6.55/2.61 % SZS output start Proof for theBenchmark
% See solution above
% 12.12/2.85 % (2386400)------------------------------
% 12.12/2.85 % (2386400)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.12/2.85 % (2386400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.12/2.85 % (2386400)CaDiCaL version: 2.1.3
% 12.12/2.85 % (2386400)Termination reason: Refutation
% 12.12/2.85 % (2386400)Time elapsed: 1.065 s
% 12.12/2.85 % (2386400)Peak memory usage: 130 MB
% 12.12/2.85 % (2386400)Instructions burned: 1110 (million)
% 12.12/2.85 % (2386400)------------------------------
% 12.12/2.85 % (2386400)------------------------------
% 12.12/2.85 % (2386394)Success in time 1.606 s
% 12.12/2.85 % Vampire exiting
%------------------------------------------------------------------------------