%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL023+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 : n012.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 12:33:50 PM UTC 2026
% Result : Theorem 4.74s 1.32s
% Output : Refutation 4.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 42 ( 42 unt; 0 def)
% Number of atoms : 42 ( 41 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 8 ( 8 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 7 ( 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 : 68 ( 65 !; 3 ?)
% 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(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(f17,conjecture,
! [X0,X1,X2] : join(composition(meet(X0,converse(X1)),meet(X1,X2)),composition(X0,meet(X1,X2))) = composition(X0,meet(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0,X1,X2] : join(composition(meet(X0,converse(X1)),meet(X1,X2)),composition(X0,meet(X1,X2))) = composition(X0,meet(X1,X2)),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
? [X0,X1,X2] : composition(X0,meet(X1,X2)) != join(composition(meet(X0,converse(X1)),meet(X1,X2)),composition(X0,meet(X1,X2))),
inference(ennf_transformation,[],[f18]) ).
fof(f20,plain,
composition(sK0,meet(sK1,sK2)) != join(composition(meet(sK0,converse(sK1)),meet(sK1,sK2)),composition(sK0,meet(sK1,sK2))),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f19]) ).
fof(f21,plain,
composition(sK0,meet(sK1,sK2)) != join(composition(meet(sK0,converse(sK1)),meet(sK1,sK2)),composition(sK0,meet(sK1,sK2))),
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(f28,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f29,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f30,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f31,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f32,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f35,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f37,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f38,plain,
composition(sK0,complement(join(complement(sK1),complement(sK2)))) != join(composition(complement(join(complement(sK0),complement(converse(sK1)))),complement(join(complement(sK1),complement(sK2)))),composition(sK0,complement(join(complement(sK1),complement(sK2))))),
inference(definition_unfolding,[],[f21,f28,f28,f28,f28]) ).
fof(f44,plain,
composition(sK0,complement(join(complement(sK1),complement(sK2)))) != join(composition(sK0,complement(join(complement(sK1),complement(sK2)))),composition(complement(join(complement(sK0),complement(converse(sK1)))),complement(join(complement(sK1),complement(sK2))))),
inference(forward_demodulation,[],[f38,f23]) ).
fof(f45,plain,
composition(sK0,complement(join(complement(sK1),complement(sK2)))) != composition(join(sK0,complement(join(complement(sK0),complement(converse(sK1))))),complement(join(complement(sK1),complement(sK2)))),
inference(forward_demodulation,[],[f44,f31]) ).
fof(f46,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f30,f35]) ).
fof(f79,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(superposition,[],[f23,f37]) ).
fof(f100,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f46,f32]) ).
fof(f105,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f100,f35]) ).
fof(f134,plain,
one = converse(one),
inference(superposition,[],[f32,f105]) ).
fof(f138,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f105,f134]) ).
fof(f155,plain,
! [X0] : complement(X0) = join(complement(composition(one,X0)),complement(X0)),
inference(superposition,[],[f29,f105]) ).
fof(f162,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(one,X0))),
inference(forward_demodulation,[],[f155,f23]) ).
fof(f169,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f162,f138]) ).
fof(f219,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),complement(X1))),join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f22,f37]) ).
fof(f229,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f23,f22]) ).
fof(f231,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(X2,complement(join(complement(X0),complement(X1))))),
inference(forward_demodulation,[],[f219,f229]) ).
fof(f253,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,[],[f231,f169]) ).
fof(f261,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f253,f79]) ).
fof(f307,plain,
composition(sK0,complement(join(complement(sK1),complement(sK2)))) != composition(sK0,complement(join(complement(sK1),complement(sK2)))),
inference(superposition,[],[f45,f261]) ).
fof(f308,plain,
$false,
inference(trivial_inequality_removal,[],[f307]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL023+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n012.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 22:52:19 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.38 Running first-order theorem proving
% 0.09/0.38 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
% 4.08/1.22 % (2843041)Detected formulas, will run a generic FOF schedule.
% 4.08/1.22 % (2843104)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3421421989:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.08/1.22 % (2843097)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=4281468509:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.08/1.22 % (2843102)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1526334541:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.08/1.22 % (2843105)dis-21_1_sil=8000:lcm=predicate:random_seed=2664305223: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)
% 4.08/1.22 % (2843103)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1011941001:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.08/1.22 % (2843099)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=425796157:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.08/1.22 % (2843101)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=4193253332:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.08/1.22 % (2843102)Refutation not found, incomplete strategy
% 4.08/1.22 % (2843102)------------------------------
% 4.08/1.22 % (2843102)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.08/1.22 % (2843102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.08/1.22 % (2843102)CaDiCaL version: 2.1.3
% 4.08/1.22 % (2843102)Termination reason: Refutation not found, incomplete strategy
% 4.08/1.22 % (2843102)Time elapsed: 0.001 s
% 4.08/1.22 % (2843102)Peak memory usage: 88 MB
% 4.08/1.22 % (2843102)Instructions burned: 1 (million)
% 4.08/1.22 % (2843105)Refutation not found, incomplete strategy
% 4.08/1.22 % (2843105)------------------------------
% 4.08/1.22 % (2843105)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.08/1.22 % (2843105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.08/1.22 % (2843105)CaDiCaL version: 2.1.3
% 4.08/1.22 % (2843105)Termination reason: Refutation not found, incomplete strategy
% 4.08/1.22 % (2843105)Time elapsed: 0.001 s
% 4.08/1.22 % (2843105)Peak memory usage: 88 MB
% 4.08/1.22 % (2843105)Instructions burned: 1 (million)
% 4.08/1.22 % (2843103)Instruction limit reached!
% 4.08/1.22 % (2843103)------------------------------
% 4.08/1.22 % (2843103)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.08/1.22 % (2843103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.08/1.22 % (2843103)CaDiCaL version: 2.1.3
% 4.08/1.22 % (2843103)Termination reason: Instruction limit
% 4.08/1.22 % (2843103)Termination phase: Saturation
% 4.08/1.22 % (2843103)Time elapsed: 0.035 s
% 4.08/1.22 % (2843103)Peak memory usage: 88 MB
% 4.08/1.22 % (2843103)Instructions burned: 121 (million)
% 4.08/1.22 % (2843104)Instruction limit reached!
% 4.08/1.22 % (2843104)------------------------------
% 4.08/1.22 % (2843104)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.08/1.22 % (2843104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.08/1.22 % (2843104)CaDiCaL version: 2.1.3
% 4.08/1.22 % (2843104)Termination reason: Instruction limit
% 4.08/1.22 % (2843104)Termination phase: Saturation
% 4.08/1.22 % (2843104)Time elapsed: 0.046 s
% 4.08/1.22 % (2843104)Peak memory usage: 90 MB
% 4.08/1.22 % (2843104)Instructions burned: 142 (million)
% 4.08/1.22 % (2843152)lrs+10_1_sil=8000:sp=occurrence:random_seed=2412851977:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.08/1.22 % (2843155)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2858994703:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 4.08/1.22 % (2843102)------------------------------
% 4.08/1.22 % (2843102)------------------------------
% 4.08/1.22 % (2843105)------------------------------
% 4.08/1.22 % (2843105)------------------------------
% 4.08/1.22 % (2843155)Instruction limit reached!
% 4.08/1.22 % (2843155)------------------------------
% 4.08/1.22 % (2843155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.08/1.22 % (2843155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.08/1.22 % (2843155)CaDiCaL version: 2.1.3
% 4.08/1.22 % (2843155)Termination reason: Instruction limit
% 4.08/1.22 % (2843155)Termination phase: Saturation
% 4.08/1.22 % (2843155)Time elapsed: 0.050 s
% 4.08/1.22 % (2843155)Peak memory usage: 90 MB
% 4.08/1.22 % (2843155)Instructions burned: 159 (million)
% 4.08/1.22 % (2843152)Instruction limit reached!
% 4.08/1.22 % (2843152)------------------------------
% 4.08/1.22 % (2843152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.08/1.22 % (2843152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.08/1.22 % (2843152)CaDiCaL version: 2.1.3
% 4.08/1.22 % (2843152)Termination reason: Instruction limit
% 4.08/1.22 % (2843152)Termination phase: Saturation
% 4.08/1.22 % (2843152)Time elapsed: 0.093 s
% 4.08/1.22 % (2843152)Peak memory usage: 91 MB
% 4.08/1.22 % (2843152)Instructions burned: 287 (million)
% 4.08/1.22 % (2843204)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3046283161:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.08/1.22 % (2843206)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=4051958334:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.08/1.22 % (2843218)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=499210042:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 4.08/1.22 % (2843218)Refutation not found, incomplete strategy
% 4.08/1.22 % (2843218)------------------------------
% 4.08/1.22 % (2843218)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.08/1.22 % (2843218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.08/1.22 % (2843218)CaDiCaL version: 2.1.3
% 4.08/1.22 % (2843218)Termination reason: Refutation not found, incomplete strategy
% 4.08/1.22 % (2843218)Time elapsed: 0.001 s
% 4.08/1.22 % (2843218)Peak memory usage: 88 MB
% 4.08/1.22 % (2843218)Instructions burned: 2 (million)
% 4.08/1.22 % (2843206)Instruction limit reached!
% 4.08/1.22 % (2843206)------------------------------
% 4.08/1.22 % (2843206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.08/1.22 % (2843206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.08/1.22 % (2843206)CaDiCaL version: 2.1.3
% 4.08/1.22 % (2843206)Termination reason: Instruction limit
% 4.08/1.22 % (2843206)Termination phase: Saturation
% 4.08/1.22 % (2843206)Time elapsed: 0.084 s
% 4.08/1.22 % (2843206)Peak memory usage: 91 MB
% 4.08/1.22 % (2843206)Instructions burned: 248 (million)
% 4.08/1.22 % (2843219)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=605397246:i=2350_2996 on theBenchmark for (2996ds/2350Mi)
% 4.08/1.22 % (2843101)Refutation not found, incomplete strategy
% 4.08/1.22 % (2843101)------------------------------
% 4.08/1.22 % (2843101)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.08/1.22 % (2843101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.08/1.22 % (2843101)CaDiCaL version: 2.1.3
% 4.08/1.22 % (2843101)Termination reason: Refutation not found, incomplete strategy
% 4.08/1.22 % (2843101)Time elapsed: 0.333 s
% 4.08/1.22 % (2843101)Peak memory usage: 126 MB
% 4.08/1.22 % (2843101)Instructions burned: 890 (million)
% 4.08/1.22 % (2843204)Instruction limit reached!
% 4.08/1.22 % (2843204)------------------------------
% 4.08/1.22 % (2843204)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.08/1.22 % (2843204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.08/1.22 % (2843204)CaDiCaL version: 2.1.3
% 4.08/1.22 % (2843204)Termination reason: Instruction limit
% 4.08/1.22 % (2843204)Termination phase: Saturation
% 4.08/1.22 % (2843204)Time elapsed: 0.105 s
% 4.08/1.22 % (2843204)Peak memory usage: 92 MB
% 4.08/1.22 % (2843204)Instructions burned: 325 (million)
% 4.08/1.22 % (2843099)First to succeed.
% 4.08/1.22 % (2843099)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2843041"
% 4.08/1.22 % (2843224)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1199988876:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 4.08/1.22 % (2843224)Refutation not found, incomplete strategy
% 4.08/1.22 % (2843224)------------------------------
% 4.08/1.22 % (2843224)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.08/1.22 % (2843224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.74/1.32 % (2843224)CaDiCaL version: 2.1.3
% 4.74/1.32 % (2843224)Termination reason: Refutation not found, incomplete strategy
% 4.74/1.32 % (2843224)Time elapsed: 0.001 s
% 4.74/1.32 % (2843224)Peak memory usage: 88 MB
% 4.74/1.32 % (2843224)Instructions burned: 1 (million)
% 4.74/1.32 % (2843218)------------------------------
% 4.74/1.32 % (2843218)------------------------------
% 4.74/1.32 % (2843225)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=293144164:i=127:av=off:fsr=off:sup=off_2995 on theBenchmark for (2995ds/127Mi)
% 4.74/1.32 % (2843225)Refutation not found, incomplete strategy
% 4.74/1.32 % (2843225)------------------------------
% 4.74/1.32 % (2843225)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.74/1.32 % (2843225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.74/1.32 % (2843225)CaDiCaL version: 2.1.3
% 4.74/1.32 % (2843225)Termination reason: Refutation not found, incomplete strategy
% 4.74/1.32 % (2843225)Time elapsed: 0.001 s
% 4.74/1.32 % (2843225)Peak memory usage: 87 MB
% 4.74/1.32 % (2843225)Instructions burned: 1 (million)
% 4.74/1.32 % (2843101)------------------------------
% 4.74/1.32 % (2843101)------------------------------
% 4.74/1.32 % (2843099)Refutation found. Thanks to Tanya!
% 4.74/1.32 % SZS status Theorem for theBenchmark
% 4.74/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 4.74/1.32 % (2843099)------------------------------
% 4.74/1.32 % (2843099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.74/1.32 % (2843099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.74/1.32 % (2843099)CaDiCaL version: 2.1.3
% 4.74/1.32 % (2843099)Termination reason: Refutation
% 4.74/1.32 % (2843099)Time elapsed: 0.365 s
% 4.74/1.32 % (2843099)Peak memory usage: 128 MB
% 4.74/1.32 % (2843099)Instructions burned: 968 (million)
% 4.74/1.32 % (2843099)------------------------------
% 4.74/1.32 % (2843099)------------------------------
% 4.74/1.32 % (2843041)Success in time 0.642 s
% 4.74/1.32 % Vampire exiting
%------------------------------------------------------------------------------