%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL042+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 12:34:05 PM UTC 2026
% Result : Theorem 6.33s 2.61s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 13
% Syntax : Number of formulae : 97 ( 93 unt; 0 def)
% Number of atoms : 101 ( 100 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 156 ( 155 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux1_join_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux2_join_associativity) ).
fof(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan) ).
fof(f4,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_identity) ).
fof(f7,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_distributivity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_multiplicativity) ).
fof(f11,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_top) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_zero) ).
fof(f14,conjecture,
! [X0] :
( ! [X1] : meet(composition(X0,X1),composition(X0,complement(X1))) = zero
=> join(composition(converse(X0),X0),one) = one ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0] :
( ! [X1] : meet(composition(X0,X1),composition(X0,complement(X1))) = zero
=> join(composition(converse(X0),X0),one) = one ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
? [X0] :
( one != join(composition(converse(X0),X0),one)
& ! [X1] : meet(composition(X0,X1),composition(X0,complement(X1))) = zero ),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
( one != join(composition(converse(sK0),sK0),one)
& ! [X1] : zero = meet(composition(sK0,X1),composition(sK0,complement(X1))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f16]) ).
fof(f18,plain,
! [X1] : zero = meet(composition(sK0,X1),composition(sK0,complement(X1))),
inference(cnf_transformation,[],[f17]) ).
fof(f19,plain,
one != join(composition(converse(sK0),sK0),one),
inference(cnf_transformation,[],[f17]) ).
fof(f20,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f21,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f22,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f23,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f24,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f25,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f26,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f27,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f28,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f29,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f30,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f32,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f33,plain,
! [X1] : zero = complement(join(complement(composition(sK0,X1)),complement(composition(sK0,complement(X1))))),
inference(definition_unfolding,[],[f18,f24]) ).
fof(f34,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f28,f24]) ).
fof(f35,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f25,f27]) ).
fof(f36,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(forward_demodulation,[],[f21,f27]) ).
fof(f37,plain,
one != join(one,composition(converse(sK0),sK0)),
inference(forward_demodulation,[],[f19,f27]) ).
fof(f39,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1)))),complement(X0)),
inference(superposition,[],[f35,f35]) ).
fof(f40,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),complement(join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1))))),
inference(forward_demodulation,[],[f39,f27]) ).
fof(f41,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),complement(join(join(complement(X0),complement(X1)),complement(join(complement(X0),X1))))),
inference(forward_demodulation,[],[f40,f27]) ).
fof(f42,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),complement(join(complement(X0),join(complement(X1),complement(join(complement(X0),X1)))))),
inference(forward_demodulation,[],[f41,f26]) ).
fof(f50,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(superposition,[],[f35,f27]) ).
fof(f67,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(X0,complement(composition(converse(X0),X1)))),
inference(superposition,[],[f36,f32]) ).
fof(f92,plain,
! [X0,X1] : composition(converse(X1),X0) = converse(composition(converse(X0),X1)),
inference(superposition,[],[f29,f32]) ).
fof(f96,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f23,f29]) ).
fof(f99,plain,
zero = complement(join(zero,complement(zero))),
inference(superposition,[],[f34,f34]) ).
fof(f102,plain,
! [X0,X1] : zero = join(zero,composition(converse(X1),complement(composition(X1,join(complement(X0),complement(complement(X0))))))),
inference(superposition,[],[f36,f34]) ).
fof(f109,plain,
! [X1] : zero = join(zero,composition(converse(X1),complement(composition(X1,top)))),
inference(forward_demodulation,[],[f102,f20]) ).
fof(f111,plain,
zero = complement(top),
inference(forward_demodulation,[],[f99,f20]) ).
fof(f149,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(complement(join(complement(X0),complement(X1))),X2)),
inference(superposition,[],[f26,f35]) ).
fof(f405,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f92,f30]) ).
fof(f418,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f405,f32]) ).
fof(f432,plain,
one = converse(one),
inference(superposition,[],[f30,f418]) ).
fof(f438,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f418,f432]) ).
fof(f473,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(converse(one),X0))),
inference(superposition,[],[f67,f438]) ).
fof(f481,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f473,f418]) ).
fof(f499,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(X0,complement(join(complement(X0),complement(X1)))),
inference(superposition,[],[f149,f481]) ).
fof(f500,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f499,f35]) ).
fof(f651,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f500,f34]) ).
fof(f708,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f27,f651]) ).
fof(f869,plain,
! [X0] : join(zero,X0) = join(zero,complement(join(zero,join(complement(X0),complement(join(zero,X0)))))),
inference(superposition,[],[f42,f111]) ).
fof(f895,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(superposition,[],[f500,f42]) ).
fof(f934,plain,
! [X0] : join(zero,X0) = complement(join(zero,join(complement(X0),complement(join(zero,X0))))),
inference(forward_demodulation,[],[f869,f708]) ).
fof(f963,plain,
! [X0] : join(zero,X0) = complement(join(complement(X0),complement(join(zero,X0)))),
inference(forward_demodulation,[],[f934,f708]) ).
fof(f987,plain,
! [X0] : complement(join(complement(X0),complement(X0))) = X0,
inference(forward_demodulation,[],[f963,f708]) ).
fof(f1005,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f987,f481]) ).
fof(f1060,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(X1),X0))),
inference(superposition,[],[f50,f1005]) ).
fof(f1364,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(join(complement(join(complement(X1),X0)),join(X0,X1))),complement(complement(X0))),
inference(superposition,[],[f50,f1060]) ).
fof(f1384,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(complement(join(complement(X1),X0)),join(X0,X1)))),
inference(forward_demodulation,[],[f1364,f27]) ).
fof(f1454,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(join(X0,X1),complement(join(complement(X1),X0))))),
inference(forward_demodulation,[],[f1384,f27]) ).
fof(f1508,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(X0,join(X1,complement(join(complement(X1),X0)))))),
inference(forward_demodulation,[],[f1454,f26]) ).
fof(f1551,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(X0,X1))),
inference(forward_demodulation,[],[f1508,f895]) ).
fof(f1583,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f1551,f1005]) ).
fof(f1704,plain,
! [X0] : join(complement(complement(composition(sK0,complement(X0)))),complement(composition(sK0,X0))) = join(complement(composition(sK0,X0)),zero),
inference(superposition,[],[f1583,f33]) ).
fof(f1757,plain,
! [X0] : join(complement(complement(composition(sK0,complement(X0)))),complement(composition(sK0,X0))) = join(zero,complement(composition(sK0,X0))),
inference(forward_demodulation,[],[f1704,f27]) ).
fof(f1797,plain,
! [X0] : complement(composition(sK0,X0)) = join(complement(complement(composition(sK0,complement(X0)))),complement(composition(sK0,X0))),
inference(forward_demodulation,[],[f1757,f708]) ).
fof(f1830,plain,
! [X0] : complement(composition(sK0,X0)) = join(complement(composition(sK0,X0)),complement(complement(composition(sK0,complement(X0))))),
inference(forward_demodulation,[],[f1797,f27]) ).
fof(f1852,plain,
! [X0] : complement(composition(sK0,X0)) = join(complement(composition(sK0,X0)),composition(sK0,complement(X0))),
inference(forward_demodulation,[],[f1830,f1005]) ).
fof(f1951,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(complement(composition(sK0,complement(X0))),composition(sK0,X0)),
inference(superposition,[],[f1852,f1005]) ).
fof(f1970,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(composition(sK0,X0),complement(composition(sK0,complement(X0)))),
inference(forward_demodulation,[],[f1951,f27]) ).
fof(f6270,plain,
! [X0] : zero = composition(converse(X0),complement(composition(X0,top))),
inference(superposition,[],[f708,f109]) ).
fof(f6539,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f96,f29]) ).
fof(f6560,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f6539,f22]) ).
fof(f6585,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f6560,f22]) ).
fof(f6599,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f6585,f29]) ).
fof(f6640,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f32,f6599]) ).
fof(f6668,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f6640,f32]) ).
fof(f6756,plain,
! [X0,X1] : composition(converse(X0),join(X1,complement(composition(X0,top)))) = join(composition(converse(X0),X1),zero),
inference(superposition,[],[f6668,f6270]) ).
fof(f6776,plain,
! [X2,X0,X1] : join(complement(composition(X0,X2)),composition(X0,X1)) = join(composition(X0,X1),complement(composition(X0,join(X1,X2)))),
inference(superposition,[],[f1583,f6668]) ).
fof(f6783,plain,
! [X0,X1] : join(zero,composition(converse(X0),X1)) = composition(converse(X0),join(X1,complement(composition(X0,top)))),
inference(forward_demodulation,[],[f6756,f27]) ).
fof(f6798,plain,
! [X0,X1] : composition(converse(X0),X1) = composition(converse(X0),join(X1,complement(composition(X0,top)))),
inference(forward_demodulation,[],[f6783,f708]) ).
fof(f7481,plain,
! [X0,X1] : join(complement(composition(X0,complement(X1))),composition(X0,X1)) = join(composition(X0,X1),complement(composition(X0,top))),
inference(superposition,[],[f6776,f20]) ).
fof(f7619,plain,
! [X0,X1] : join(composition(X0,X1),complement(composition(X0,top))) = join(composition(X0,X1),complement(composition(X0,complement(X1)))),
inference(forward_demodulation,[],[f7481,f27]) ).
fof(f7795,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(composition(sK0,X0),complement(composition(sK0,top))),
inference(superposition,[],[f1970,f7619]) ).
fof(f7945,plain,
! [X0] : composition(converse(sK0),composition(sK0,X0)) = composition(converse(sK0),complement(composition(sK0,complement(X0)))),
inference(superposition,[],[f6798,f7795]) ).
fof(f8358,plain,
! [X0] : complement(complement(X0)) = join(complement(complement(X0)),composition(converse(sK0),composition(sK0,X0))),
inference(superposition,[],[f36,f7945]) ).
fof(f8399,plain,
! [X0] : join(X0,composition(converse(sK0),composition(sK0,X0))) = X0,
inference(forward_demodulation,[],[f8358,f1005]) ).
fof(f8440,plain,
one = join(one,composition(converse(sK0),sK0)),
inference(superposition,[],[f8399,f30]) ).
fof(f8506,plain,
$false,
inference(forward_subsumption_resolution,[],[f8440,f37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL042+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n026.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 22:59:26 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.33/2.61 % (3305071)Detected formulas, will run a generic FOF schedule.
% 6.33/2.61 % (3305181)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1869469195:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.33/2.61 % (3305182)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=798851598:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.33/2.61 % (3305179)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=3534128237:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.33/2.61 % (3305178)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=2491201777:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.33/2.61 % (3305177)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=3088167886:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.33/2.61 % (3305183)dis-21_1_sil=8000:lcm=predicate:random_seed=622671691: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)
% 6.33/2.61 % (3305183)Refutation not found, incomplete strategy
% 6.33/2.61 % (3305183)------------------------------
% 6.33/2.61 % (3305183)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/2.61 % (3305183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/2.61 % (3305183)CaDiCaL version: 2.1.3
% 6.33/2.61 % (3305183)Termination reason: Refutation not found, incomplete strategy
% 6.33/2.61 % (3305183)Time elapsed: 0.002 s
% 6.33/2.61 % (3305183)Peak memory usage: 88 MB
% 6.33/2.61 % (3305183)Instructions burned: 1 (million)
% 6.33/2.61 % (3305181)Instruction limit reached!
% 6.33/2.61 % (3305181)------------------------------
% 6.33/2.61 % (3305181)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/2.61 % (3305181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/2.61 % (3305181)CaDiCaL version: 2.1.3
% 6.33/2.61 % (3305181)Termination reason: Instruction limit
% 6.33/2.61 % (3305181)Termination phase: Saturation
% 6.33/2.61 % (3305181)Time elapsed: 0.036 s
% 6.33/2.61 % (3305181)Peak memory usage: 89 MB
% 6.33/2.61 % (3305181)Instructions burned: 122 (million)
% 6.33/2.61 % (3305180)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=20278789:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.33/2.61 % (3305182)Instruction limit reached!
% 6.33/2.61 % (3305182)------------------------------
% 6.33/2.61 % (3305182)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/2.61 % (3305182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/2.61 % (3305182)CaDiCaL version: 2.1.3
% 6.33/2.61 % (3305182)Termination reason: Instruction limit
% 6.33/2.61 % (3305182)Termination phase: Saturation
% 6.33/2.61 % (3305182)Time elapsed: 0.083 s
% 6.33/2.61 % (3305182)Peak memory usage: 89 MB
% 6.33/2.61 % (3305182)Instructions burned: 140 (million)
% 6.33/2.61 % (3305180)Instruction limit reached!
% 6.33/2.61 % (3305180)------------------------------
% 6.33/2.61 % (3305180)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/2.61 % (3305180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/2.61 % (3305180)CaDiCaL version: 2.1.3
% 6.33/2.61 % (3305180)Termination reason: Instruction limit
% 6.33/2.61 % (3305180)Termination phase: Saturation
% 6.33/2.61 % (3305180)Time elapsed: 0.062 s
% 6.33/2.61 % (3305180)Peak memory usage: 89 MB
% 6.33/2.61 % (3305180)Instructions burned: 110 (million)
% 6.33/2.61 % (3305190)lrs+10_1_sil=8000:sp=occurrence:random_seed=2572512402:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.33/2.61 % (3305190)Instruction limit reached!
% 6.33/2.61 % (3305190)------------------------------
% 6.33/2.61 % (3305190)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/2.61 % (3305190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/2.61 % (3305190)CaDiCaL version: 2.1.3
% 6.33/2.61 % (3305190)Termination reason: Instruction limit
% 6.33/2.61 % (3305190)Termination phase: Saturation
% 6.33/2.61 % (3305190)Time elapsed: 0.092 s
% 6.33/2.61 % (3305190)Peak memory usage: 92 MB
% 6.33/2.61 % (3305190)Instructions burned: 288 (million)
% 6.33/2.61 % (3305207)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3175234308:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.33/2.61 % (3305183)------------------------------
% 6.33/2.61 % (3305183)------------------------------
% 6.33/2.61 % (3305208)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=3175946062:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.33/2.61 % (3305200)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2342786315:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.33/2.61 % (3305208)Instruction limit reached!
% 6.33/2.61 % (3305208)------------------------------
% 6.33/2.61 % (3305208)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/2.61 % (3305208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/2.61 % (3305208)CaDiCaL version: 2.1.3
% 6.33/2.61 % (3305208)Termination reason: Instruction limit
% 6.33/2.61 % (3305208)Termination phase: Saturation
% 6.33/2.61 % (3305208)Time elapsed: 0.082 s
% 6.33/2.61 % (3305208)Peak memory usage: 92 MB
% 6.33/2.61 % (3305208)Instructions burned: 249 (million)
% 6.33/2.61 % (3305210)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2732554535:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.33/2.61 % (3305207)Instruction limit reached!
% 6.33/2.61 % (3305207)------------------------------
% 6.33/2.61 % (3305207)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/2.61 % (3305207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/2.61 % (3305207)CaDiCaL version: 2.1.3
% 6.33/2.61 % (3305207)Termination reason: Instruction limit
% 6.33/2.61 % (3305207)Termination phase: Saturation
% 6.33/2.61 % (3305207)Time elapsed: 0.197 s
% 6.33/2.61 % (3305207)Peak memory usage: 92 MB
% 6.33/2.61 % (3305207)Instructions burned: 326 (million)
% 6.33/2.61 % (3305213)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=288781822:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.33/2.61 % (3305200)Instruction limit reached!
% 6.33/2.61 % (3305200)------------------------------
% 6.33/2.61 % (3305200)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/2.61 % (3305200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/2.61 % (3305200)CaDiCaL version: 2.1.3
% 6.33/2.61 % (3305200)Termination reason: Instruction limit
% 6.33/2.61 % (3305200)Termination phase: Saturation
% 6.33/2.61 % (3305200)Time elapsed: 0.160 s
% 6.33/2.61 % (3305200)Peak memory usage: 90 MB
% 6.33/2.61 % (3305200)Instructions burned: 157 (million)
% 6.33/2.61 % (3305210)Instruction limit reached!
% 6.33/2.61 % (3305210)------------------------------
% 6.33/2.61 % (3305210)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/2.61 % (3305210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/2.61 % (3305210)CaDiCaL version: 2.1.3
% 6.33/2.61 % (3305210)Termination reason: Instruction limit
% 6.33/2.61 % (3305210)Termination phase: Saturation
% 6.33/2.61 % (3305210)Time elapsed: 0.156 s
% 6.33/2.61 % (3305210)Peak memory usage: 90 MB
% 6.33/2.61 % (3305210)Instructions burned: 294 (million)
% 6.33/2.61 % (3305215)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1270930762:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.33/2.61 % (3305217)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1081659796:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.33/2.61 % (3305217)Refutation not found, incomplete strategy
% 6.33/2.61 % (3305217)------------------------------
% 6.33/2.61 % (3305217)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/2.61 % (3305217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/2.61 % (3305217)CaDiCaL version: 2.1.3
% 6.33/2.61 % (3305217)Termination reason: Refutation not found, incomplete strategy
% 6.33/2.61 % (3305217)Time elapsed: 0.001 s
% 6.33/2.61 % (3305217)Peak memory usage: 88 MB
% 6.33/2.61 % (3305215)Instruction limit reached!
% 6.33/2.61 % (3305215)------------------------------
% 6.33/2.61 % (3305215)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/2.61 % (3305215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/2.61 % (3305215)CaDiCaL version: 2.1.3
% 6.33/2.61 % (3305215)Termination reason: Instruction limit
% 6.33/2.61 % (3305215)Termination phase: Saturation
% 6.33/2.61 % (3305215)Time elapsed: 0.069 s
% 6.33/2.61 % (3305215)Peak memory usage: 90 MB
% 6.33/2.61 % (3305215)Instructions burned: 114 (million)
% 6.33/2.61 % (3305218)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1587182251:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 6.33/2.61 % (3305218)Instruction limit reached!
% 6.33/2.61 % (3305218)------------------------------
% 6.33/2.61 % (3305218)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/2.61 % (3305218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/2.61 % (3305218)CaDiCaL version: 2.1.3
% 6.33/2.61 % (3305218)Termination reason: Instruction limit
% 6.33/2.61 % (3305218)Termination phase: Saturation
% 6.33/2.61 % (3305218)Time elapsed: 0.077 s
% 6.33/2.61 % (3305218)Peak memory usage: 89 MB
% 6.33/2.61 % (3305218)Instructions burned: 114 (million)
% 6.33/2.61 % (3305221)lrs+10_1_sil=8000:sp=occurrence:random_seed=3403867851:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.33/2.61 % (3305231)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2397292567:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 6.33/2.61 % (3305217)------------------------------
% 6.33/2.61 % (3305217)------------------------------
% 6.33/2.61 % (3305231)Instruction limit reached!
% 6.33/2.61 % (3305231)------------------------------
% 6.33/2.61 % (3305231)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/2.61 % (3305231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/2.61 % (3305231)CaDiCaL version: 2.1.3
% 6.33/2.61 % (3305231)Termination reason: Instruction limit
% 6.33/2.61 % (3305231)Termination phase: Saturation
% 6.33/2.61 % (3305231)Time elapsed: 0.202 s
% 6.33/2.61 % (3305231)Peak memory usage: 92 MB
% 6.33/2.61 % (3305231)Instructions burned: 439 (million)
% 6.33/2.61 % (3305241)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2193365076:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 6.33/2.61 % (3305245)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=10103568:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 6.33/2.61 % (3305245)Refutation not found, incomplete strategy
% 6.33/2.61 % (3305245)------------------------------
% 6.33/2.61 % (3305245)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/2.61 % (3305245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/2.61 % (3305245)CaDiCaL version: 2.1.3
% 6.33/2.61 % (3305245)Termination reason: Refutation not found, incomplete strategy
% 6.33/2.61 % (3305245)Time elapsed: 0.001 s
% 6.33/2.61 % (3305245)Peak memory usage: 89 MB
% 6.33/2.61 % (3305245)Instructions burned: 1 (million)
% 6.33/2.61 % (3305178)First to succeed.
% 6.33/2.61 % (3305178)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3305071"
% 6.33/2.61 % (3305245)------------------------------
% 6.33/2.61 % (3305245)------------------------------
% 6.33/2.61 % (3305221)Instruction limit reached!
% 6.33/2.61 % (3305221)------------------------------
% 6.33/2.61 % (3305221)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/2.61 % (3305221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/2.61 % (3305221)CaDiCaL version: 2.1.3
% 6.33/2.61 % (3305221)Termination reason: Instruction limit
% 6.33/2.61 % (3305221)Termination phase: Saturation
% 6.33/2.61 % (3305221)Time elapsed: 0.786 s
% 6.33/2.61 % (3305221)Peak memory usage: 96 MB
% 6.33/2.61 % (3305221)Instructions burned: 908 (million)
% 6.33/2.61 % (3305178)Refutation found. Thanks to Tanya!
% 6.33/2.61 % SZS status Theorem for theBenchmark
% 6.33/2.61 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/2.90 % (3305178)------------------------------
% 0.18/2.90 % (3305178)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/2.90 % (3305178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/2.90 % (3305178)CaDiCaL version: 2.1.3
% 0.18/2.90 % (3305178)Termination reason: Refutation
% 0.18/2.90 % (3305178)Time elapsed: 1.297 s
% 0.18/2.90 % (3305178)Peak memory usage: 135 MB
% 0.18/2.90 % (3305178)Instructions burned: 1667 (million)
% 0.18/2.90 % (3305178)------------------------------
% 0.18/2.90 % (3305178)------------------------------
% 0.18/2.90 % (3305071)Success in time 1.741 s
% 0.18/2.90 % Vampire exiting
%------------------------------------------------------------------------------