%------------------------------------------------------------------------------
% 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/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 : Theorem 9.43s 2.23s
% Output : Refutation 10.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 10
% Syntax : Number of formulae : 92 ( 92 unt; 0 def)
% Number of atoms : 92 ( 91 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 151 ( 149 !; 2 ?)
% 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(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(f17,conjecture,
! [X0,X1] : join(composition(complement(composition(X0,X1)),converse(X1)),complement(X0)) = complement(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0,X1] : join(composition(complement(composition(X0,X1)),converse(X1)),complement(X0)) = complement(X0),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
? [X0,X1] : complement(X0) != join(composition(complement(composition(X0,X1)),converse(X1)),complement(X0)),
inference(ennf_transformation,[],[f18]) ).
fof(f20,plain,
complement(sK0) != join(composition(complement(composition(sK0,sK1)),converse(sK1)),complement(sK0)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f19]) ).
fof(f21,plain,
complement(sK0) != join(composition(complement(composition(sK0,sK1)),converse(sK1)),complement(sK0)),
inference(cnf_transformation,[],[f20]) ).
fof(f22,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f23,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f25,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f26,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f28,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f32,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f34,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f36,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f37,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f43,plain,
complement(sK0) != join(complement(sK0),composition(complement(composition(sK0,sK1)),converse(sK1))),
inference(forward_demodulation,[],[f21,f23]) ).
fof(f58,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f36,f37]) ).
fof(f68,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f28,f23]) ).
fof(f70,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(superposition,[],[f28,f23]) ).
fof(f73,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(forward_demodulation,[],[f68,f23]) ).
fof(f98,plain,
! [X0,X1] : converse(composition(X1,converse(X0))) = composition(X0,converse(X1)),
inference(superposition,[],[f32,f37]) ).
fof(f99,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f32,f37]) ).
fof(f103,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f99,f34]) ).
fof(f111,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f103,f37]) ).
fof(f120,plain,
one = converse(one),
inference(superposition,[],[f34,f111]) ).
fof(f121,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f111,f120]) ).
fof(f147,plain,
! [X0,X1] : complement(X1) = join(composition(X0,complement(composition(converse(X0),X1))),complement(X1)),
inference(superposition,[],[f26,f37]) ).
fof(f153,plain,
! [X0] : complement(X0) = join(complement(composition(one,X0)),complement(X0)),
inference(superposition,[],[f26,f111]) ).
fof(f160,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(one,X0))),
inference(forward_demodulation,[],[f153,f23]) ).
fof(f166,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(X0,complement(composition(converse(X0),X1)))),
inference(forward_demodulation,[],[f147,f23]) ).
fof(f167,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f160,f121]) ).
fof(f239,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),complement(X1))),join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f22,f28]) ).
fof(f249,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f23,f22]) ).
fof(f251,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(X2,complement(join(complement(X0),complement(X1))))),
inference(forward_demodulation,[],[f239,f249]) ).
fof(f271,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(complement(X1))))) = join(complement(join(complement(X0),X1)),X0),
inference(superposition,[],[f251,f28]) ).
fof(f273,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,[],[f251,f167]) ).
fof(f281,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f273,f70]) ).
fof(f282,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(complement(X1))))) = join(X0,complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f271,f23]) ).
fof(f292,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f282,f281]) ).
fof(f314,plain,
! [X0] : join(X0,complement(complement(X0))) = X0,
inference(superposition,[],[f281,f281]) ).
fof(f341,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(join(complement(X0),X2),complement(join(X0,X1))),
inference(superposition,[],[f292,f251]) ).
fof(f343,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f292,f23]) ).
fof(f363,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(complement(X0),join(X2,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f341,f22]) ).
fof(f379,plain,
! [X0,X1] : join(X1,X0) = join(complement(join(complement(X1),X0)),X0),
inference(superposition,[],[f251,f343]) ).
fof(f387,plain,
! [X2,X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(X1,complement(join(complement(X0),complement(complement(join(X2,complement(complement(X0))))))))),
inference(superposition,[],[f251,f343]) ).
fof(f393,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),X1),
inference(forward_demodulation,[],[f387,f363]) ).
fof(f396,plain,
! [X0,X1] : join(X1,X0) = join(X0,complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f379,f23]) ).
fof(f415,plain,
! [X0] : complement(complement(X0)) = join(X0,complement(complement(X0))),
inference(superposition,[],[f167,f393]) ).
fof(f418,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(complement(X0)),complement(X1)))),
inference(superposition,[],[f70,f393]) ).
fof(f423,plain,
! [X0,X1] : join(X0,X1) = join(X1,complement(complement(X0))),
inference(superposition,[],[f23,f393]) ).
fof(f434,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(X0,complement(X1)))),
inference(forward_demodulation,[],[f418,f393]) ).
fof(f436,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f415,f314]) ).
fof(f580,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(X1),X0))),
inference(superposition,[],[f73,f436]) ).
fof(f601,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),X0) = join(X1,complement(join(complement(X0),X1))),
inference(superposition,[],[f251,f73]) ).
fof(f605,plain,
! [X0,X1] : join(X0,X1) = join(complement(join(complement(X1),X0)),X0),
inference(forward_demodulation,[],[f601,f396]) ).
fof(f638,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f605,f23]) ).
fof(f693,plain,
! [X0,X1] : join(X1,complement(X0)) = join(X1,complement(join(X0,X1))),
inference(superposition,[],[f638,f393]) ).
fof(f905,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(join(complement(join(X0,complement(X1))),join(X0,X1))),complement(complement(X0))),
inference(superposition,[],[f73,f434]) ).
fof(f930,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(complement(join(X0,complement(X1))),join(X0,X1)))),
inference(forward_demodulation,[],[f905,f423]) ).
fof(f967,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(join(X0,X1),complement(join(X0,complement(X1)))))),
inference(forward_demodulation,[],[f930,f23]) ).
fof(f989,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,join(X1,complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f967,f22]) ).
fof(f1003,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f989,f343]) ).
fof(f1343,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f58,f25]) ).
fof(f1541,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = join(X0,complement(converse(top))),
inference(superposition,[],[f1003,f1343]) ).
fof(f1549,plain,
! [X0] : join(X0,complement(converse(top))) = X0,
inference(superposition,[],[f292,f1343]) ).
fof(f1562,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = X0,
inference(forward_demodulation,[],[f1541,f1549]) ).
fof(f1597,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(complement(converse(complement(converse(converse(X0))))))),
inference(superposition,[],[f58,f1562]) ).
fof(f1599,plain,
! [X0] : join(X0,converse(complement(converse(complement(X0))))) = X0,
inference(forward_demodulation,[],[f1597,f37]) ).
fof(f3754,plain,
! [X0] : complement(converse(complement(converse(complement(complement(X0)))))) = join(complement(join(converse(complement(converse(complement(complement(X0))))),X0)),complement(complement(X0))),
inference(superposition,[],[f580,f1599]) ).
fof(f3765,plain,
! [X0] : complement(converse(complement(converse(complement(complement(X0)))))) = join(X0,complement(join(converse(complement(converse(complement(complement(X0))))),X0))),
inference(forward_demodulation,[],[f3754,f423]) ).
fof(f3778,plain,
! [X0] : complement(converse(complement(converse(complement(complement(X0)))))) = join(X0,complement(converse(complement(converse(complement(complement(X0))))))),
inference(forward_demodulation,[],[f3765,f693]) ).
fof(f3782,plain,
! [X0] : complement(converse(complement(converse(X0)))) = join(X0,complement(converse(complement(converse(X0))))),
inference(forward_demodulation,[],[f3778,f436]) ).
fof(f3784,plain,
! [X0] : complement(converse(complement(converse(X0)))) = X0,
inference(forward_demodulation,[],[f3782,f1562]) ).
fof(f3790,plain,
! [X0] : converse(X0) = complement(converse(complement(X0))),
inference(superposition,[],[f3784,f37]) ).
fof(f3823,plain,
! [X0] : complement(X0) = converse(complement(converse(X0))),
inference(superposition,[],[f436,f3784]) ).
fof(f3911,plain,
! [X0] : complement(converse(X0)) = converse(complement(X0)),
inference(superposition,[],[f436,f3790]) ).
fof(f3983,plain,
! [X0,X1] : join(complement(X0),converse(X1)) = converse(join(complement(converse(X0)),X1)),
inference(superposition,[],[f58,f3911]) ).
fof(f3985,plain,
! [X0,X1] : composition(complement(X0),converse(X1)) = converse(composition(X1,complement(converse(X0)))),
inference(superposition,[],[f98,f3911]) ).
fof(f4051,plain,
! [X0,X1] : converse(complement(converse(X0))) = join(complement(X0),converse(composition(X1,complement(composition(converse(X1),converse(X0)))))),
inference(superposition,[],[f3983,f166]) ).
fof(f4123,plain,
! [X0,X1] : converse(complement(converse(X0))) = join(complement(X0),converse(composition(X1,complement(converse(composition(X0,X1)))))),
inference(forward_demodulation,[],[f4051,f32]) ).
fof(f4154,plain,
! [X0,X1] : converse(complement(converse(X0))) = join(complement(X0),composition(complement(composition(X0,X1)),converse(X1))),
inference(forward_demodulation,[],[f4123,f3985]) ).
fof(f4176,plain,
! [X0,X1] : complement(X0) = join(complement(X0),composition(complement(composition(X0,X1)),converse(X1))),
inference(forward_demodulation,[],[f4154,f3823]) ).
fof(f4229,plain,
complement(sK0) != complement(sK0),
inference(superposition,[],[f43,f4176]) ).
fof(f4237,plain,
$false,
inference(trivial_inequality_removal,[],[f4229]) ).
%------------------------------------------------------------------------------
%----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/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n020.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 22:51:50 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 9.43/2.23 % (3855439)Detected formulas, will run a generic FOF schedule.
% 9.43/2.23 % (3855511)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=95813913:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.43/2.23 % (3855506)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=3190148866:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.43/2.23 % (3855508)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=3610237957:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.43/2.23 % (3855509)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3748168580:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.43/2.23 % (3855507)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=155350131:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.43/2.23 % (3855510)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3065344559:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.43/2.23 % (3855509)Refutation not found, incomplete strategy
% 9.43/2.23 % (3855509)------------------------------
% 9.43/2.23 % (3855509)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.23 % (3855509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.23 % (3855509)CaDiCaL version: 2.1.3
% 9.43/2.23 % (3855509)Termination reason: Refutation not found, incomplete strategy
% 9.43/2.23 % (3855509)Time elapsed: 0.002 s
% 9.43/2.23 % (3855509)Peak memory usage: 88 MB
% 9.43/2.23 % (3855511)Instruction limit reached!
% 9.43/2.23 % (3855511)------------------------------
% 9.43/2.23 % (3855511)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.23 % (3855511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.23 % (3855511)CaDiCaL version: 2.1.3
% 9.43/2.23 % (3855511)Termination reason: Instruction limit
% 9.43/2.23 % (3855511)Termination phase: Saturation
% 9.43/2.23 % (3855511)Time elapsed: 0.058 s
% 9.43/2.23 % (3855511)Peak memory usage: 90 MB
% 9.43/2.23 % (3855511)Instructions burned: 141 (million)
% 9.43/2.23 % (3855512)dis-21_1_sil=8000:lcm=predicate:random_seed=3594143270: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)
% 9.43/2.23 % (3855512)Refutation not found, incomplete strategy
% 9.43/2.23 % (3855512)------------------------------
% 9.43/2.23 % (3855512)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.23 % (3855512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.23 % (3855512)CaDiCaL version: 2.1.3
% 9.43/2.23 % (3855512)Termination reason: Refutation not found, incomplete strategy
% 9.43/2.23 % (3855512)Time elapsed: 0.003 s
% 9.43/2.23 % (3855512)Peak memory usage: 88 MB
% 9.43/2.23 % (3855512)Instructions burned: 1 (million)
% 9.43/2.23 % (3855510)Instruction limit reached!
% 9.43/2.23 % (3855510)------------------------------
% 9.43/2.23 % (3855510)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.23 % (3855510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.23 % (3855510)CaDiCaL version: 2.1.3
% 9.43/2.23 % (3855510)Termination reason: Instruction limit
% 9.43/2.23 % (3855510)Termination phase: Saturation
% 9.43/2.23 % (3855510)Time elapsed: 0.110 s
% 9.43/2.23 % (3855510)Peak memory usage: 88 MB
% 9.43/2.23 % (3855510)Instructions burned: 119 (million)
% 9.43/2.23 % (3855546)lrs+10_1_sil=8000:sp=occurrence:random_seed=498557640:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 9.43/2.23 % (3855509)------------------------------
% 9.43/2.23 % (3855509)------------------------------
% 9.43/2.23 % (3855549)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2949008234:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 9.43/2.23 % (3855546)Instruction limit reached!
% 9.43/2.23 % (3855546)------------------------------
% 9.43/2.23 % (3855546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.23 % (3855546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.23 % (3855546)CaDiCaL version: 2.1.3
% 9.43/2.23 % (3855546)Termination reason: Instruction limit
% 9.43/2.23 % (3855546)Termination phase: Saturation
% 9.43/2.23 % (3855546)Time elapsed: 0.094 s
% 9.43/2.23 % (3855546)Peak memory usage: 91 MB
% 9.43/2.23 % (3855546)Instructions burned: 287 (million)
% 9.43/2.23 % (3855512)------------------------------
% 9.43/2.23 % (3855512)------------------------------
% 9.43/2.23 % (3855549)Instruction limit reached!
% 9.43/2.23 % (3855549)------------------------------
% 9.43/2.23 % (3855549)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.23 % (3855549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.23 % (3855549)CaDiCaL version: 2.1.3
% 9.43/2.23 % (3855549)Termination reason: Instruction limit
% 9.43/2.23 % (3855549)Termination phase: Saturation
% 9.43/2.23 % (3855549)Time elapsed: 0.096 s
% 9.43/2.23 % (3855549)Peak memory usage: 90 MB
% 9.43/2.23 % (3855549)Instructions burned: 158 (million)
% 9.43/2.23 % (3855561)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=3920345159:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 9.43/2.23 % (3855560)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3629562525:i=325:sd=1:ss=axioms:sgt=32_2994 on theBenchmark for (2994ds/325Mi)
% 9.43/2.23 % (3855561)Instruction limit reached!
% 9.43/2.23 % (3855561)------------------------------
% 9.43/2.23 % (3855561)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.23 % (3855561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.23 % (3855561)CaDiCaL version: 2.1.3
% 9.43/2.23 % (3855561)Termination reason: Instruction limit
% 9.43/2.23 % (3855561)Termination phase: Saturation
% 9.43/2.23 % (3855561)Time elapsed: 0.085 s
% 9.43/2.23 % (3855561)Peak memory usage: 92 MB
% 9.43/2.23 % (3855561)Instructions burned: 250 (million)
% 9.43/2.23 % (3855562)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2973527356:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 9.43/2.23 % (3855562)Refutation not found, incomplete strategy
% 9.43/2.23 % (3855562)------------------------------
% 9.43/2.23 % (3855562)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.23 % (3855562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.23 % (3855562)CaDiCaL version: 2.1.3
% 9.43/2.23 % (3855562)Termination reason: Refutation not found, incomplete strategy
% 9.43/2.23 % (3855562)Time elapsed: 0.002 s
% 9.43/2.23 % (3855562)Peak memory usage: 88 MB
% 9.43/2.23 % (3855562)Instructions burned: 1 (million)
% 9.43/2.23 % (3855566)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1712486578:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 9.43/2.23 % (3855560)Instruction limit reached!
% 9.43/2.23 % (3855560)------------------------------
% 9.43/2.23 % (3855560)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.23 % (3855560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.23 % (3855560)CaDiCaL version: 2.1.3
% 9.43/2.23 % (3855560)Termination reason: Instruction limit
% 9.43/2.23 % (3855560)Termination phase: Saturation
% 9.43/2.23 % (3855560)Time elapsed: 0.193 s
% 9.43/2.23 % (3855560)Peak memory usage: 92 MB
% 9.43/2.23 % (3855560)Instructions burned: 325 (million)
% 9.43/2.23 % (3855508)Refutation not found, incomplete strategy
% 9.43/2.23 % (3855508)------------------------------
% 9.43/2.23 % (3855508)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.23 % (3855508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.23 % (3855508)CaDiCaL version: 2.1.3
% 9.43/2.23 % (3855508)Termination reason: Refutation not found, incomplete strategy
% 9.43/2.23 % (3855508)Time elapsed: 0.679 s
% 9.43/2.23 % (3855508)Peak memory usage: 127 MB
% 9.43/2.23 % (3855508)Instructions burned: 890 (million)
% 9.43/2.23 % (3855569)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=16332482:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 9.43/2.23 % (3855569)Refutation not found, incomplete strategy
% 9.43/2.23 % (3855569)------------------------------
% 9.43/2.23 % (3855569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.23 % (3855569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.23 % (3855569)CaDiCaL version: 2.1.3
% 9.43/2.23 % (3855569)Termination reason: Refutation not found, incomplete strategy
% 9.43/2.23 % (3855569)Time elapsed: 0.002 s
% 9.43/2.23 % (3855569)Peak memory usage: 88 MB
% 9.43/2.23 % (3855562)------------------------------
% 9.43/2.23 % (3855562)------------------------------
% 9.43/2.23 % (3855582)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3750848426:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 9.43/2.23 % (3855582)Refutation not found, incomplete strategy
% 9.43/2.23 % (3855582)------------------------------
% 9.43/2.23 % (3855582)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.23 % (3855582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.23 % (3855582)CaDiCaL version: 2.1.3
% 9.43/2.23 % (3855582)Termination reason: Refutation not found, incomplete strategy
% 9.43/2.23 % (3855582)Time elapsed: 0.001 s
% 9.43/2.23 % (3855582)Peak memory usage: 87 MB
% 9.43/2.23 % (3855582)Instructions burned: 1 (million)
% 9.43/2.23 % (3855507)First to succeed.
% 9.43/2.23 % (3855507)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3855439"
% 9.43/2.23 % (3855508)------------------------------
% 9.43/2.23 % (3855508)------------------------------
% 9.43/2.23 % (3855569)------------------------------
% 9.43/2.23 % (3855569)------------------------------
% 9.43/2.23 % (3855589)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=820274075:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 9.43/2.23 % (3855589)Instruction limit reached!
% 9.43/2.23 % (3855589)------------------------------
% 9.43/2.23 % (3855589)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.23 % (3855589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.23 % (3855589)CaDiCaL version: 2.1.3
% 9.43/2.23 % (3855589)Termination reason: Instruction limit
% 9.43/2.23 % (3855589)Termination phase: Saturation
% 9.43/2.23 % (3855589)Time elapsed: 0.066 s
% 9.43/2.23 % (3855589)Peak memory usage: 89 MB
% 9.43/2.23 % (3855589)Instructions burned: 115 (million)
% 9.43/2.23 % (3855582)------------------------------
% 9.43/2.23 % (3855582)------------------------------
% 9.43/2.23 % (3855612)lrs+10_1_sil=8000:sp=occurrence:random_seed=2277724515:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2988 on theBenchmark for (2988ds/907Mi)
% 9.43/2.23 % (3855620)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2063114459:i=437:sd=1:aac=none:ss=included_2988 on theBenchmark for (2988ds/437Mi)
% 9.43/2.23 % (3855620)Refutation not found, incomplete strategy
% 9.43/2.23 % (3855620)------------------------------
% 9.43/2.23 % (3855620)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.23 % (3855620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.23 % (3855620)CaDiCaL version: 2.1.3
% 9.43/2.23 % (3855620)Termination reason: Refutation not found, incomplete strategy
% 9.43/2.23 % (3855620)Time elapsed: 0.002 s
% 9.43/2.23 % (3855620)Peak memory usage: 88 MB
% 9.43/2.23 % (3855507)Refutation found. Thanks to Tanya!
% 9.43/2.23 % SZS status Theorem for theBenchmark
% 9.43/2.23 % SZS output start Proof for theBenchmark
% See solution above
% 10.16/2.42 % (3855507)------------------------------
% 10.16/2.42 % (3855507)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.16/2.42 % (3855507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.16/2.42 % (3855507)CaDiCaL version: 2.1.3
% 10.16/2.42 % (3855507)Termination reason: Refutation
% 10.16/2.42 % (3855507)Time elapsed: 0.911 s
% 10.16/2.42 % (3855507)Peak memory usage: 131 MB
% 10.16/2.42 % (3855507)Instructions burned: 1243 (million)
% 10.16/2.42 % (3855507)------------------------------
% 10.16/2.42 % (3855507)------------------------------
% 10.16/2.42 % (3855439)Success in time 1.347 s
% 10.16/2.42 % Vampire exiting
%------------------------------------------------------------------------------