%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL012-2 : 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 : n018.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 12:33:43 PM UTC 2026
% Result : Unsatisfiable 6.16s 3.22s
% Output : Refutation 17.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 13
% Syntax : Number of formulae : 106 ( 106 unt; 1 def)
% Number of atoms : 106 ( 101 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 152 ( 152 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux1_join_commutativity_1) ).
fof(f2,axiom,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux2_join_associativity_2) ).
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_3) ).
fof(f4,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux4_definiton_of_meet_4) ).
fof(f6,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(reorient_equations,[],[f5]) ).
fof(f8,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_identity_6) ).
fof(f10,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_idempotence_8) ).
fof(f11,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_additivity_9) ).
fof(f12,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_multiplicativity_10) ).
fof(f13,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_cancellativity_11) ).
fof(f14,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(reorient_equations,[],[f13]) ).
fof(f15,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_top_12) ).
fof(f16,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_zero_13) ).
fof(f23,negated_conjecture,
join(composition(complement(composition(sk1,sk2)),converse(sk2)),complement(sk1)) != complement(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_17) ).
fof(f24,plain,
complement(sk1) != join(composition(complement(composition(sk1,sk2)),converse(sk2)),complement(sk1)),
inference(reorient_equations,[],[f23]) ).
fof(f28,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f16,f6]) ).
fof(f29,definition,
~ sP0(join(composition(complement(composition(sk1,sk2)),converse(sk2)),complement(sk1))),
introduced(definition,[new_symbols(definition,[sP0])],[inequality_splitting_name_introduction]) ).
fof(f30,plain,
sP0(complement(sk1)),
inference(inequality_splitting,[],[f24,f29]) ).
fof(f31,plain,
~ sP0(join(complement(sk1),composition(complement(composition(sk1,sk2)),converse(sk2)))),
inference(forward_demodulation,[],[f29,f1]) ).
fof(f32,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f4,f1]) ).
fof(f33,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(forward_demodulation,[],[f14,f1]) ).
fof(f34,plain,
zero = complement(top),
inference(forward_demodulation,[],[f28,f15]) ).
fof(f40,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1)))),complement(X0)),
inference(superposition,[],[f32,f32]) ).
fof(f42,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(superposition,[],[f32,f1]) ).
fof(f43,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,[],[f40,f1]) ).
fof(f48,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f11,f10]) ).
fof(f68,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(X0,complement(composition(converse(X0),X1)))),
inference(superposition,[],[f33,f10]) ).
fof(f73,plain,
! [X0,X1] : composition(converse(X1),X0) = converse(composition(converse(X0),X1)),
inference(superposition,[],[f12,f10]) ).
fof(f75,plain,
! [X0,X1] : complement(converse(X0)) = join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))),
inference(superposition,[],[f33,f12]) ).
fof(f78,plain,
! [X0,X1] : complement(converse(X0)) = join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))),
inference(forward_demodulation,[],[f75,f10]) ).
fof(f89,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f1,f2]) ).
fof(f198,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f73,f8]) ).
fof(f218,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f198,f10]) ).
fof(f231,plain,
! [X0] : complement(X0) = join(complement(X0),composition(one,complement(X0))),
inference(superposition,[],[f68,f218]) ).
fof(f237,plain,
one = converse(one),
inference(superposition,[],[f8,f218]) ).
fof(f240,plain,
! [X0] : composition(one,X0) = X0,
inference(backward_demodulation,[],[f218,f237]) ).
fof(f248,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(backward_demodulation,[],[f231,f240]) ).
fof(f268,plain,
! [X0] : join(complement(complement(X0)),complement(join(complement(X0),complement(complement(X0))))) = X0,
inference(superposition,[],[f32,f248]) ).
fof(f270,plain,
! [X0] : join(complement(complement(X0)),complement(top)) = X0,
inference(forward_demodulation,[],[f268,f15]) ).
fof(f274,plain,
! [X0] : join(complement(top),complement(complement(X0))) = X0,
inference(forward_demodulation,[],[f270,f1]) ).
fof(f278,plain,
! [X0] : join(zero,complement(complement(X0))) = X0,
inference(forward_demodulation,[],[f274,f34]) ).
fof(f309,plain,
! [X0] : complement(X0) = join(complement(join(complement(complement(X0)),X0)),complement(top)),
inference(superposition,[],[f42,f15]) ).
fof(f311,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f2,f15]) ).
fof(f313,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(superposition,[],[f32,f15]) ).
fof(f314,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f48,f15]) ).
fof(f316,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(forward_demodulation,[],[f313,f34]) ).
fof(f319,plain,
! [X0] : complement(X0) = join(complement(top),complement(join(complement(complement(X0)),X0))),
inference(forward_demodulation,[],[f309,f1]) ).
fof(f322,plain,
! [X0] : complement(X0) = join(complement(top),complement(join(X0,complement(complement(X0))))),
inference(forward_demodulation,[],[f319,f1]) ).
fof(f324,plain,
! [X0] : complement(X0) = join(zero,complement(join(X0,complement(complement(X0))))),
inference(forward_demodulation,[],[f322,f34]) ).
fof(f325,plain,
! [X0] : complement(complement(X0)) = X0,
inference(backward_demodulation,[],[f316,f324]) ).
fof(f329,plain,
! [X0] : join(zero,X0) = X0,
inference(backward_demodulation,[],[f278,f325]) ).
fof(f336,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(X0,complement(X1)))),
inference(superposition,[],[f32,f325]) ).
fof(f340,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(X1),X0))),
inference(superposition,[],[f42,f325]) ).
fof(f342,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f248,f325]) ).
fof(f351,plain,
! [X0,X1] : complement(X1) = join(complement(join(X0,X1)),complement(join(X1,complement(X0)))),
inference(superposition,[],[f336,f1]) ).
fof(f393,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(superposition,[],[f2,f342]) ).
fof(f418,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f1,f329]) ).
fof(f437,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(complement(join(X0,complement(X1))),complement(complement(join(X1,X0)))))),
inference(superposition,[],[f351,f351]) ).
fof(f444,plain,
! [X0,X1] : complement(X1) = join(complement(join(X0,X1)),complement(join(complement(X0),X1))),
inference(superposition,[],[f351,f1]) ).
fof(f463,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(complement(complement(join(X1,X0))),complement(join(X0,complement(X1)))))),
inference(forward_demodulation,[],[f437,f1]) ).
fof(f476,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(join(X1,X0),complement(join(X0,complement(X1)))))),
inference(forward_demodulation,[],[f463,f325]) ).
fof(f489,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(X1,join(X0,complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f476,f2]) ).
fof(f498,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(X0,complement(join(X1,join(X0,complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f489,f325]) ).
fof(f505,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X1,join(X0,complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f498,f325]) ).
fof(f551,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(X0)),complement(join(complement(join(X0,X1)),complement(complement(join(complement(X1),X0)))))),
inference(superposition,[],[f336,f340]) ).
fof(f554,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(X0)),complement(join(complement(join(X0,X1)),join(complement(X1),X0)))),
inference(forward_demodulation,[],[f551,f325]) ).
fof(f576,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(X0)),complement(join(X0,join(complement(join(X0,X1)),complement(X1))))),
inference(forward_demodulation,[],[f554,f89]) ).
fof(f596,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(X0)),complement(join(X0,join(complement(X1),complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f576,f1]) ).
fof(f614,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(X0,complement(join(X0,join(complement(X1),complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f596,f325]) ).
fof(f628,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(X0,join(complement(X1),complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f614,f325]) ).
fof(f1079,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,complement(join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1))))),
inference(superposition,[],[f311,f43]) ).
fof(f1080,plain,
! [X0] : join(X0,complement(X0)) = join(top,complement(X0)),
inference(superposition,[],[f311,f342]) ).
fof(f1112,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[],[f1080,f15]) ).
fof(f1113,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,complement(join(complement(X1),join(complement(join(complement(X0),X1)),complement(X0))))),
inference(forward_demodulation,[],[f1079,f89]) ).
fof(f1129,plain,
! [X0,X1] : top = join(X0,join(complement(X0),X1)),
inference(forward_demodulation,[],[f1113,f1112]) ).
fof(f1139,plain,
! [X1] : top = join(top,X1),
inference(backward_demodulation,[],[f311,f1129]) ).
fof(f1181,plain,
top = converse(top),
inference(superposition,[],[f314,f1139]) ).
fof(f1182,plain,
! [X0] : top = join(X0,converse(complement(converse(X0)))),
inference(backward_demodulation,[],[f314,f1181]) ).
fof(f1258,plain,
! [X0,X1] : join(X0,X1) = join(X1,join(X0,X1)),
inference(superposition,[],[f393,f1]) ).
fof(f1271,plain,
! [X0,X1] : complement(X0) = join(complement(join(X1,X0)),complement(X0)),
inference(superposition,[],[f393,f444]) ).
fof(f1303,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X1,X0))),
inference(forward_demodulation,[],[f1271,f1]) ).
fof(f1316,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(X0,complement(X1)))),
inference(backward_demodulation,[],[f628,f1303]) ).
fof(f1325,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X1,join(X0,X1)))),
inference(backward_demodulation,[],[f505,f1316]) ).
fof(f1333,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f1325,f1258]) ).
fof(f2229,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = join(X0,complement(top)),
inference(superposition,[],[f1333,f1182]) ).
fof(f2247,plain,
! [X0] : join(X0,zero) = join(X0,complement(converse(complement(converse(X0))))),
inference(forward_demodulation,[],[f2229,f34]) ).
fof(f2267,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = X0,
inference(forward_demodulation,[],[f2247,f418]) ).
fof(f2310,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(complement(converse(complement(converse(converse(X0))))))),
inference(superposition,[],[f48,f2267]) ).
fof(f2312,plain,
! [X0] : complement(complement(converse(complement(converse(complement(X0)))))) = join(complement(join(X0,complement(converse(complement(converse(complement(X0))))))),complement(complement(X0))),
inference(superposition,[],[f444,f2267]) ).
fof(f2316,plain,
! [X0] : complement(complement(converse(complement(converse(complement(X0)))))) = join(complement(complement(X0)),complement(join(X0,complement(converse(complement(converse(complement(X0)))))))),
inference(forward_demodulation,[],[f2312,f1]) ).
fof(f2317,plain,
! [X0] : join(X0,converse(complement(converse(complement(X0))))) = X0,
inference(forward_demodulation,[],[f2310,f10]) ).
fof(f2330,plain,
! [X0] : complement(complement(converse(complement(converse(complement(X0)))))) = join(X0,complement(join(X0,complement(converse(complement(converse(complement(X0)))))))),
inference(forward_demodulation,[],[f2316,f325]) ).
fof(f2338,plain,
! [X0] : complement(complement(converse(complement(converse(complement(X0)))))) = join(X0,complement(complement(converse(complement(converse(complement(X0))))))),
inference(forward_demodulation,[],[f2330,f1333]) ).
fof(f2342,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(X0,converse(complement(converse(complement(X0))))),
inference(forward_demodulation,[],[f2338,f325]) ).
fof(f2344,plain,
! [X0] : converse(complement(converse(complement(X0)))) = X0,
inference(forward_demodulation,[],[f2342,f2317]) ).
fof(f2349,plain,
! [X0] : complement(X0) = converse(complement(converse(X0))),
inference(superposition,[],[f2344,f325]) ).
fof(f2420,plain,
! [X0] : complement(converse(X0)) = converse(complement(X0)),
inference(superposition,[],[f10,f2349]) ).
fof(f2421,plain,
! [X0,X1] : converse(join(complement(converse(X0)),X1)) = join(complement(X0),converse(X1)),
inference(superposition,[],[f11,f2349]) ).
fof(f2424,plain,
! [X0,X1] : converse(composition(X1,complement(converse(X0)))) = composition(complement(X0),converse(X1)),
inference(superposition,[],[f12,f2349]) ).
fof(f2622,plain,
! [X0,X1] : converse(complement(converse(X0))) = join(complement(X0),converse(composition(X1,complement(converse(composition(X0,X1)))))),
inference(superposition,[],[f2421,f78]) ).
fof(f2675,plain,
! [X0,X1] : converse(complement(converse(X0))) = join(complement(X0),composition(complement(composition(X0,X1)),converse(X1))),
inference(forward_demodulation,[],[f2622,f2424]) ).
fof(f2694,plain,
! [X0,X1] : complement(converse(converse(X0))) = join(complement(X0),composition(complement(composition(X0,X1)),converse(X1))),
inference(forward_demodulation,[],[f2675,f2420]) ).
fof(f2707,plain,
! [X0,X1] : complement(X0) = join(complement(X0),composition(complement(composition(X0,X1)),converse(X1))),
inference(forward_demodulation,[],[f2694,f10]) ).
fof(f2716,plain,
~ sP0(complement(sk1)),
inference(backward_demodulation,[],[f31,f2707]) ).
fof(f2722,plain,
$false,
inference(forward_subsumption_resolution,[],[f2716,f30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL012-2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n018.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 22:53:10 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.40 Running first-order theorem proving
% 0.15/0.40 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
% 6.16/3.22 % (2817646)Detected a unit-equality problem, will run specialized UEQ schedule.
% 6.16/3.22 % (2817672)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3330911099:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 6.16/3.22 % (2817670)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=3930565412:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 6.16/3.22 % (2817671)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1323431544:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 6.16/3.22 % (2817673)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1450923931:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 6.16/3.22 % (2817674)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3252801035:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 6.16/3.22 % (2817676)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=589844788:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 6.16/3.22 % (2817675)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3901624649:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 6.16/3.22 % (2817674)Instruction limit reached!
% 6.16/3.22 % (2817674)------------------------------
% 6.16/3.22 % (2817674)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.16/3.22 % (2817674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/3.22 % (2817674)CaDiCaL version: 2.1.3
% 6.16/3.22 % (2817674)Termination reason: Instruction limit
% 6.16/3.22 % (2817674)Termination phase: Saturation
% 6.16/3.22 % (2817674)Time elapsed: 0.094 s
% 6.16/3.22 % (2817674)Peak memory usage: 89 MB
% 6.16/3.22 % (2817674)Instructions burned: 181 (million)
% 6.16/3.22 % (2817673)Instruction limit reached!
% 6.16/3.22 % (2817673)------------------------------
% 6.16/3.22 % (2817673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.16/3.22 % (2817673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/3.22 % (2817673)CaDiCaL version: 2.1.3
% 6.16/3.22 % (2817673)Termination reason: Instruction limit
% 6.16/3.22 % (2817673)Termination phase: Saturation
% 6.16/3.22 % (2817673)Time elapsed: 0.134 s
% 6.16/3.22 % (2817673)Peak memory usage: 88 MB
% 6.16/3.22 % (2817673)Instructions burned: 136 (million)
% 6.16/3.22 % (2817675)Instruction limit reached!
% 6.16/3.22 % (2817675)------------------------------
% 6.16/3.22 % (2817675)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.16/3.22 % (2817675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/3.22 % (2817675)CaDiCaL version: 2.1.3
% 6.16/3.22 % (2817675)Termination reason: Instruction limit
% 6.16/3.22 % (2817675)Termination phase: Saturation
% 6.16/3.22 % (2817675)Time elapsed: 0.273 s
% 6.16/3.22 % (2817675)Peak memory usage: 90 MB
% 6.16/3.22 % (2817675)Instructions burned: 258 (million)
% 6.16/3.22 % (2817700)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1720210737:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2996 on theBenchmark for (2996ds/2051Mi)
% 6.16/3.22 % (2817702)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=840375569:i=4948:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/4948Mi)
% 6.16/3.22 % (2817706)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=4000420249:i=215:ep=RSTC_2994 on theBenchmark for (2994ds/215Mi)
% 6.16/3.22 % (2817706)Instruction limit reached!
% 6.16/3.22 % (2817706)------------------------------
% 6.16/3.22 % (2817706)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.16/3.22 % (2817706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/3.22 % (2817706)CaDiCaL version: 2.1.3
% 6.16/3.22 % (2817706)Termination reason: Instruction limit
% 6.16/3.22 % (2817706)Termination phase: Saturation
% 6.16/3.22 % (2817706)Time elapsed: 0.135 s
% 6.16/3.22 % (2817706)Peak memory usage: 89 MB
% 6.16/3.22 % (2817706)Instructions burned: 216 (million)
% 6.16/3.22 % (2817718)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=2195318712:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2990 on theBenchmark for (2990ds/317Mi)
% 6.16/3.22 % (2817676)Instruction limit reached!
% 6.16/3.22 % (2817676)------------------------------
% 6.16/3.22 % (2817676)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.16/3.22 % (2817676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/3.22 % (2817676)CaDiCaL version: 2.1.3
% 6.16/3.22 % (2817676)Termination reason: Instruction limit
% 6.16/3.22 % (2817676)Termination phase: Saturation
% 6.16/3.22 % (2817676)Time elapsed: 1.098 s
% 6.16/3.22 % (2817676)Peak memory usage: 101 MB
% 6.16/3.22 % (2817676)Instructions burned: 1189 (million)
% 6.16/3.22 % (2817718)Instruction limit reached!
% 6.16/3.22 % (2817718)------------------------------
% 6.16/3.22 % (2817718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.16/3.22 % (2817718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/3.22 % (2817718)CaDiCaL version: 2.1.3
% 6.16/3.22 % (2817718)Termination reason: Instruction limit
% 6.16/3.22 % (2817718)Termination phase: Saturation
% 6.16/3.22 % (2817718)Time elapsed: 0.334 s
% 6.16/3.22 % (2817718)Peak memory usage: 94 MB
% 6.16/3.22 % (2817718)Instructions burned: 318 (million)
% 6.16/3.22 % (2817728)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=1135327679:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2986 on theBenchmark for (2986ds/12125Mi)
% 6.16/3.22 % (2817700)Instruction limit reached!
% 6.16/3.22 % (2817700)------------------------------
% 6.16/3.22 % (2817700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.16/3.22 % (2817700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/3.22 % (2817700)CaDiCaL version: 2.1.3
% 6.16/3.22 % (2817700)Termination reason: Instruction limit
% 6.16/3.22 % (2817700)Termination phase: Saturation
% 6.16/3.22 % (2817700)Time elapsed: 1.107 s
% 6.16/3.22 % (2817700)Peak memory usage: 141 MB
% 6.16/3.22 % (2817700)Instructions burned: 2051 (million)
% 6.16/3.22 % (2817731)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=3403235300:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2984 on theBenchmark for (2984ds/2836Mi)
% 6.16/3.22 % (2817733)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=2269159704:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2983 on theBenchmark for (2983ds/14534Mi)
% 6.16/3.22 % (2817733)First to succeed.
% 6.16/3.22 % (2817733)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2817646"
% 6.16/3.22 % (2817671)Also succeeded, but the first one will report.
% 6.16/3.22 % (2817733)Refutation found. Thanks to Tanya!
% 6.16/3.22 % SZS status Unsatisfiable for theBenchmark
% 6.16/3.22 % SZS output start Proof for theBenchmark
% See solution above
% 17.30/3.32 % (2817733)------------------------------
% 17.30/3.32 % (2817733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.30/3.32 % (2817733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.30/3.32 % (2817733)CaDiCaL version: 2.1.3
% 17.30/3.32 % (2817733)Termination reason: Refutation
% 17.30/3.32 % (2817733)Time elapsed: 0.445 s
% 17.30/3.32 % (2817733)Peak memory usage: 131 MB
% 17.30/3.32 % (2817733)Instructions burned: 1229 (million)
% 17.30/3.32 % (2817733)------------------------------
% 17.30/3.32 % (2817733)------------------------------
% 17.30/3.32 % (2817646)Success in time 2.381 s
% 17.30/3.32 % Vampire exiting
%------------------------------------------------------------------------------