%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL004+2 : 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 : n019.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 12:33:37 PM UTC 2026
% Result : Theorem 7.44s 2.05s
% Output : Refutation 8.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 12
% Syntax : Number of formulae : 84 ( 84 unt; 0 def)
% Number of atoms : 84 ( 83 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 9 ( 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 : 124 ( 123 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_identity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_top) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_zero) ).
fof(f17,conjecture,
! [X0] : converse(complement(X0)) = complement(converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0] : converse(complement(X0)) = complement(converse(X0)),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
? [X0] : converse(complement(X0)) != complement(converse(X0)),
inference(ennf_transformation,[],[f18]) ).
fof(f20,plain,
converse(complement(sK0)) != complement(converse(sK0)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f19]) ).
fof(f21,plain,
converse(complement(sK0)) != complement(converse(sK0)),
inference(cnf_transformation,[],[f20]) ).
fof(f22,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f23,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f24,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f25,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f26,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f30,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f31,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f32,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f33,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f34,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f36,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f38,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f22,f25]) ).
fof(f44,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f26,f34]) ).
fof(f45,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(forward_demodulation,[],[f24,f34]) ).
fof(f46,plain,
zero = complement(top),
inference(forward_demodulation,[],[f38,f23]) ).
fof(f48,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f31,f32]) ).
fof(f61,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1)))),complement(X0)),
inference(superposition,[],[f44,f44]) ).
fof(f62,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,[],[f61,f34]) ).
fof(f97,plain,
! [X0,X1] : join(complement(join(X0,complement(X1))),complement(join(complement(X1),complement(X0)))) = X1,
inference(superposition,[],[f44,f34]) ).
fof(f99,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(superposition,[],[f44,f34]) ).
fof(f103,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f30,f32]) ).
fof(f111,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f103,f36]) ).
fof(f121,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f111,f32]) ).
fof(f129,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f48,f23]) ).
fof(f168,plain,
one = converse(one),
inference(superposition,[],[f36,f121]) ).
fof(f171,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f121,f168]) ).
fof(f192,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(complement(join(complement(X0),complement(X1))),X2)),
inference(superposition,[],[f33,f44]) ).
fof(f200,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f34,f33]) ).
fof(f380,plain,
! [X0] : complement(X0) = join(complement(X0),composition(converse(one),complement(X0))),
inference(superposition,[],[f45,f171]) ).
fof(f381,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f380,f121]) ).
fof(f392,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,[],[f192,f381]) ).
fof(f393,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f392,f44]) ).
fof(f430,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(superposition,[],[f393,f62]) ).
fof(f432,plain,
! [X0] : join(X0,complement(top)) = X0,
inference(superposition,[],[f393,f23]) ).
fof(f433,plain,
! [X0] : join(X0,complement(complement(X0))) = X0,
inference(superposition,[],[f393,f393]) ).
fof(f459,plain,
! [X0] : join(X0,zero) = X0,
inference(forward_demodulation,[],[f432,f46]) ).
fof(f475,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(join(complement(X0),X2),complement(join(X0,X1))),
inference(superposition,[],[f430,f192]) ).
fof(f481,plain,
! [X0] : join(X0,complement(converse(top))) = X0,
inference(superposition,[],[f430,f129]) ).
fof(f504,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(complement(X0),join(X2,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f475,f33]) ).
fof(f516,plain,
! [X0,X1] : join(X0,X1) = join(complement(join(complement(X0),complement(complement(X0)))),join(complement(complement(X0)),X1)),
inference(superposition,[],[f192,f433]) ).
fof(f531,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(X1,complement(join(complement(X0),complement(complement(X0)))))),
inference(forward_demodulation,[],[f516,f200]) ).
fof(f535,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),X1),
inference(forward_demodulation,[],[f531,f504]) ).
fof(f700,plain,
! [X0] : complement(complement(X0)) = join(X0,zero),
inference(superposition,[],[f459,f535]) ).
fof(f701,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f700,f459]) ).
fof(f755,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(X1),X0))),
inference(superposition,[],[f99,f701]) ).
fof(f878,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(complement(join(complement(X1),X0)),complement(complement(join(X0,X1)))))),
inference(superposition,[],[f97,f755]) ).
fof(f892,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(complement(join(complement(X1),X0)),complement(complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f878,f535]) ).
fof(f939,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(complement(complement(join(X0,X1))),complement(join(complement(X1),X0))))),
inference(forward_demodulation,[],[f892,f34]) ).
fof(f977,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(join(X0,X1),complement(join(complement(X1),X0))))),
inference(forward_demodulation,[],[f939,f535]) ).
fof(f1004,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,join(X1,complement(join(complement(X1),X0)))))),
inference(forward_demodulation,[],[f977,f33]) ).
fof(f1026,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f1004,f430]) ).
fof(f1058,plain,
! [X0,X1] : join(complement(X0),X1) = join(X1,complement(join(X0,X1))),
inference(superposition,[],[f1026,f34]) ).
fof(f1065,plain,
! [X0] : join(X0,complement(converse(top))) = join(complement(converse(complement(converse(X0)))),X0),
inference(superposition,[],[f1026,f129]) ).
fof(f1128,plain,
! [X0] : join(X0,complement(converse(top))) = join(X0,complement(converse(complement(converse(X0))))),
inference(forward_demodulation,[],[f1065,f34]) ).
fof(f1157,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = X0,
inference(forward_demodulation,[],[f1128,f481]) ).
fof(f1245,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(complement(join(complement(converse(complement(converse(complement(X0))))),X0)),complement(complement(X0))),
inference(superposition,[],[f99,f1157]) ).
fof(f1256,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(complement(converse(complement(converse(converse(X0))))))),
inference(superposition,[],[f48,f1157]) ).
fof(f1265,plain,
! [X0] : join(X0,converse(complement(converse(complement(X0))))) = X0,
inference(forward_demodulation,[],[f1256,f32]) ).
fof(f1274,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(complement(complement(X0)),complement(join(complement(converse(complement(converse(complement(X0))))),X0))),
inference(forward_demodulation,[],[f1245,f34]) ).
fof(f1285,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(X0,complement(join(complement(converse(complement(converse(complement(X0))))),X0))),
inference(forward_demodulation,[],[f1274,f535]) ).
fof(f1291,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(complement(complement(converse(complement(converse(complement(X0)))))),X0),
inference(forward_demodulation,[],[f1285,f1058]) ).
fof(f1295,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(converse(complement(converse(complement(X0)))),X0),
inference(forward_demodulation,[],[f1291,f535]) ).
fof(f1299,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(X0,converse(complement(converse(complement(X0))))),
inference(forward_demodulation,[],[f1295,f34]) ).
fof(f1301,plain,
! [X0] : converse(complement(converse(complement(X0)))) = X0,
inference(forward_demodulation,[],[f1299,f1265]) ).
fof(f1304,plain,
! [X0] : complement(X0) = converse(complement(converse(X0))),
inference(superposition,[],[f1301,f701]) ).
fof(f1344,plain,
! [X0] : converse(complement(X0)) = complement(converse(X0)),
inference(superposition,[],[f32,f1304]) ).
fof(f1442,plain,
complement(converse(sK0)) != complement(converse(sK0)),
inference(superposition,[],[f21,f1344]) ).
fof(f1461,plain,
$false,
inference(trivial_inequality_removal,[],[f1442]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : REL004+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.38 % Computer : n019.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sun Sep 27 22:50:19 UTC 2026
% 0.09/0.39 % CPUTime :
% 0.09/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.42 Running first-order theorem proving
% 0.09/0.42 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
% 7.44/2.05 % (3489730)Detected formulas, will run a generic FOF schedule.
% 7.44/2.05 % (3489741)dis-21_1_sil=8000:lcm=predicate:random_seed=3368491007: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)
% 7.44/2.05 % (3489741)Refutation not found, incomplete strategy
% 7.44/2.05 % (3489741)------------------------------
% 7.44/2.05 % (3489741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.44/2.05 % (3489741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/2.05 % (3489741)CaDiCaL version: 2.1.3
% 7.44/2.05 % (3489741)Termination reason: Refutation not found, incomplete strategy
% 7.44/2.05 % (3489741)Time elapsed: 0.001 s
% 7.44/2.05 % (3489741)Peak memory usage: 88 MB
% 7.44/2.05 % (3489741)Instructions burned: 1 (million)
% 7.44/2.05 % (3489739)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3218124209:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.44/2.05 % (3489736)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=3738000910:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.44/2.05 % (3489738)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1243458542:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.44/2.05 % (3489740)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1981840739:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.44/2.05 % (3489737)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=1208994776:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.44/2.05 % (3489735)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=1699561995:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.44/2.05 % (3489738)Refutation not found, incomplete strategy
% 7.44/2.05 % (3489738)------------------------------
% 7.44/2.05 % (3489738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.44/2.05 % (3489738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/2.05 % (3489738)CaDiCaL version: 2.1.3
% 7.44/2.05 % (3489738)Termination reason: Refutation not found, incomplete strategy
% 7.44/2.05 % (3489738)Time elapsed: 0.001 s
% 7.44/2.05 % (3489738)Peak memory usage: 88 MB
% 7.44/2.05 % (3489739)Instruction limit reached!
% 7.44/2.05 % (3489739)------------------------------
% 7.44/2.05 % (3489739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.44/2.05 % (3489739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/2.05 % (3489739)CaDiCaL version: 2.1.3
% 7.44/2.05 % (3489739)Termination reason: Instruction limit
% 7.44/2.05 % (3489739)Termination phase: Saturation
% 7.44/2.05 % (3489739)Time elapsed: 0.064 s
% 7.44/2.05 % (3489739)Peak memory usage: 89 MB
% 7.44/2.05 % (3489739)Instructions burned: 120 (million)
% 7.44/2.05 % (3489740)Instruction limit reached!
% 7.44/2.05 % (3489740)------------------------------
% 7.44/2.05 % (3489740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.44/2.05 % (3489740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/2.05 % (3489740)CaDiCaL version: 2.1.3
% 7.44/2.05 % (3489740)Termination reason: Instruction limit
% 7.44/2.05 % (3489740)Termination phase: Saturation
% 7.44/2.05 % (3489740)Time elapsed: 0.083 s
% 7.44/2.05 % (3489740)Peak memory usage: 89 MB
% 7.44/2.05 % (3489740)Instructions burned: 140 (million)
% 7.44/2.05 % (3489741)------------------------------
% 7.44/2.05 % (3489741)------------------------------
% 7.44/2.05 % (3489749)lrs+10_1_sil=8000:sp=occurrence:random_seed=2001159253:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 7.44/2.05 % (3489751)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3387037374:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 7.44/2.05 % (3489750)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1996527132:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 7.44/2.05 % (3489738)------------------------------
% 7.44/2.05 % (3489738)------------------------------
% 7.44/2.05 % (3489750)Instruction limit reached!
% 7.44/2.05 % (3489750)------------------------------
% 7.44/2.05 % (3489750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.44/2.05 % (3489750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/2.05 % (3489750)CaDiCaL version: 2.1.3
% 7.44/2.05 % (3489750)Termination reason: Instruction limit
% 7.44/2.05 % (3489750)Termination phase: Saturation
% 7.44/2.05 % (3489750)Time elapsed: 0.093 s
% 7.44/2.05 % (3489750)Peak memory usage: 91 MB
% 7.44/2.05 % (3489750)Instructions burned: 157 (million)
% 7.44/2.05 % (3489751)Instruction limit reached!
% 7.44/2.05 % (3489751)------------------------------
% 7.44/2.05 % (3489751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.44/2.05 % (3489751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/2.05 % (3489751)CaDiCaL version: 2.1.3
% 7.44/2.05 % (3489751)Termination reason: Instruction limit
% 7.44/2.05 % (3489751)Termination phase: Saturation
% 7.44/2.05 % (3489751)Time elapsed: 0.103 s
% 7.44/2.05 % (3489751)Peak memory usage: 92 MB
% 7.44/2.05 % (3489751)Instructions burned: 327 (million)
% 7.44/2.05 % (3489749)Instruction limit reached!
% 7.44/2.05 % (3489749)------------------------------
% 7.44/2.05 % (3489749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.44/2.05 % (3489749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/2.05 % (3489749)CaDiCaL version: 2.1.3
% 7.44/2.05 % (3489749)Termination reason: Instruction limit
% 7.44/2.05 % (3489749)Termination phase: Saturation
% 7.44/2.05 % (3489749)Time elapsed: 0.171 s
% 7.44/2.05 % (3489749)Peak memory usage: 92 MB
% 7.44/2.05 % (3489749)Instructions burned: 285 (million)
% 7.44/2.05 % (3489755)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=2735377926:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 7.44/2.05 % (3489757)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3074319492:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 7.44/2.05 % (3489756)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3907526209:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 7.44/2.05 % (3489756)Refutation not found, incomplete strategy
% 7.44/2.05 % (3489756)------------------------------
% 7.44/2.05 % (3489756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.44/2.05 % (3489756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/2.05 % (3489756)CaDiCaL version: 2.1.3
% 7.44/2.05 % (3489756)Termination reason: Refutation not found, incomplete strategy
% 7.44/2.05 % (3489756)Time elapsed: 0.002 s
% 7.44/2.05 % (3489756)Peak memory usage: 88 MB
% 7.44/2.05 % (3489756)Instructions burned: 1 (million)
% 7.44/2.05 % (3489758)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3483630534:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 7.44/2.05 % (3489758)Refutation not found, incomplete strategy
% 7.44/2.05 % (3489758)------------------------------
% 7.44/2.05 % (3489758)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.44/2.05 % (3489758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/2.05 % (3489758)CaDiCaL version: 2.1.3
% 7.44/2.05 % (3489758)Termination reason: Refutation not found, incomplete strategy
% 7.44/2.05 % (3489758)Time elapsed: 0.001 s
% 7.44/2.05 % (3489758)Peak memory usage: 88 MB
% 7.44/2.05 % (3489755)Instruction limit reached!
% 7.44/2.05 % (3489755)------------------------------
% 7.44/2.05 % (3489755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.44/2.05 % (3489755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/2.05 % (3489755)CaDiCaL version: 2.1.3
% 7.44/2.05 % (3489755)Termination reason: Instruction limit
% 7.44/2.05 % (3489755)Termination phase: Saturation
% 7.44/2.05 % (3489755)Time elapsed: 0.158 s
% 7.44/2.05 % (3489755)Peak memory usage: 92 MB
% 7.44/2.05 % (3489755)Instructions burned: 248 (million)
% 7.44/2.05 % (3489737)Refutation not found, incomplete strategy
% 7.44/2.05 % (3489737)------------------------------
% 7.44/2.05 % (3489737)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.44/2.05 % (3489737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/2.05 % (3489737)CaDiCaL version: 2.1.3
% 7.44/2.05 % (3489737)Termination reason: Refutation not found, incomplete strategy
% 7.44/2.05 % (3489737)Time elapsed: 0.600 s
% 7.44/2.05 % (3489737)Peak memory usage: 126 MB
% 7.44/2.05 % (3489737)Instructions burned: 888 (million)
% 7.44/2.05 % (3489756)------------------------------
% 7.44/2.05 % (3489756)------------------------------
% 7.44/2.05 % (3489736)First to succeed.
% 7.44/2.05 % (3489736)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3489730"
% 7.44/2.05 % (3489763)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3010299911:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 7.44/2.05 % (3489763)Refutation not found, incomplete strategy
% 7.44/2.05 % (3489763)------------------------------
% 7.44/2.05 % (3489763)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.44/2.05 % (3489763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/2.05 % (3489763)CaDiCaL version: 2.1.3
% 7.44/2.05 % (3489763)Termination reason: Refutation not found, incomplete strategy
% 7.44/2.05 % (3489763)Time elapsed: 0.001 s
% 7.44/2.05 % (3489763)Peak memory usage: 87 MB
% 7.44/2.05 % (3489735)Also succeeded, but the first one will report.
% 7.44/2.05 % (3489758)------------------------------
% 7.44/2.05 % (3489758)------------------------------
% 7.44/2.05 % (3489737)------------------------------
% 7.44/2.05 % (3489737)------------------------------
% 7.44/2.05 % (3489757)Also succeeded, but the first one will report.
% 7.44/2.05 % (3489764)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1016685469:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 7.44/2.05 % (3489764)Instruction limit reached!
% 7.44/2.05 % (3489764)------------------------------
% 7.44/2.05 % (3489764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.44/2.05 % (3489764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/2.05 % (3489764)CaDiCaL version: 2.1.3
% 7.44/2.05 % (3489764)Termination reason: Instruction limit
% 7.44/2.05 % (3489764)Termination phase: Saturation
% 7.44/2.05 % (3489764)Time elapsed: 0.066 s
% 7.44/2.05 % (3489764)Peak memory usage: 89 MB
% 7.44/2.05 % (3489764)Instructions burned: 114 (million)
% 7.44/2.05 % (3489766)lrs+10_1_sil=8000:sp=occurrence:random_seed=4029255521:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 7.44/2.05 % (3489736)Refutation found. Thanks to Tanya!
% 7.44/2.05 % SZS status Theorem for theBenchmark
% 7.44/2.05 % SZS output start Proof for theBenchmark
% See solution above
% 8.94/2.24 % (3489736)------------------------------
% 8.94/2.24 % (3489736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.94/2.24 % (3489736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.94/2.24 % (3489736)CaDiCaL version: 2.1.3
% 8.94/2.24 % (3489736)Termination reason: Refutation
% 8.94/2.24 % (3489736)Time elapsed: 0.743 s
% 8.94/2.24 % (3489736)Peak memory usage: 128 MB
% 8.94/2.24 % (3489736)Instructions burned: 1114 (million)
% 8.94/2.24 % (3489736)------------------------------
% 8.94/2.24 % (3489736)------------------------------
% 8.94/2.24 % (3489730)Success in time 1.184 s
% 8.94/2.24 % Vampire exiting
%------------------------------------------------------------------------------