%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL008+3 : 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 : n003.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 12:33:40 PM UTC 2026
% Result : Theorem 9.27s 2.17s
% Output : Refutation 9.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 10
% Syntax : Number of formulae : 37 ( 37 unt; 5 def)
% Number of atoms : 37 ( 36 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 47 ( 44 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_distributivity) ).
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(f17,conjecture,
! [X0,X1,X2] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0,X1,X2] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
? [X0,X1,X2] : composition(X0,join(X1,X2)) != join(composition(X0,X1),composition(X0,X2)),
inference(ennf_transformation,[],[f18]) ).
fof(f20,plain,
composition(sK0,join(sK1,sK2)) != join(composition(sK0,sK1),composition(sK0,sK2)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f19]) ).
fof(f27,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f28,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f29,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f30,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f37,plain,
composition(sK0,join(sK1,sK2)) != join(composition(sK0,sK1),composition(sK0,sK2)),
inference(cnf_transformation,[],[f20]) ).
fof(f42,definition,
sF3 = join(sK1,sK2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f43,plain,
join(sK1,sK2) = sF3,
inference(reorient_equations,[],[f42]) ).
fof(f44,definition,
sF4 = composition(sK0,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f45,plain,
composition(sK0,sF3) = sF4,
inference(reorient_equations,[],[f44]) ).
fof(f46,definition,
sF5 = composition(sK0,sK1),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f47,plain,
composition(sK0,sK1) = sF5,
inference(reorient_equations,[],[f46]) ).
fof(f48,definition,
sF6 = composition(sK0,sK2),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f49,plain,
composition(sK0,sK2) = sF6,
inference(reorient_equations,[],[f48]) ).
fof(f50,definition,
sF7 = join(sF5,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f51,plain,
join(sF5,sF6) = sF7,
inference(reorient_equations,[],[f50]) ).
fof(f52,plain,
sF4 != sF7,
inference(definition_folding,[],[f37,f51,f49,f47,f45,f43]) ).
fof(f68,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f27,f30]) ).
fof(f149,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f68,f30]) ).
fof(f161,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f149,f29]) ).
fof(f172,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f161,f29]) ).
fof(f180,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f172,f30]) ).
fof(f200,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f28,f180]) ).
fof(f212,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f200,f28]) ).
fof(f237,plain,
! [X0] : composition(sK0,join(sK1,X0)) = join(sF5,composition(sK0,X0)),
inference(superposition,[],[f212,f47]) ).
fof(f283,plain,
composition(sK0,sF3) = join(sF5,composition(sK0,sK2)),
inference(superposition,[],[f237,f43]) ).
fof(f298,plain,
composition(sK0,sF3) = join(sF5,sF6),
inference(forward_demodulation,[],[f283,f49]) ).
fof(f301,plain,
composition(sK0,sF3) = sF7,
inference(forward_demodulation,[],[f298,f51]) ).
fof(f304,plain,
sF4 = sF7,
inference(forward_demodulation,[],[f301,f45]) ).
fof(f305,plain,
$false,
inference(forward_subsumption_resolution,[],[f304,f52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL008+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n003.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 22:52:14 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 7.02/1.88 % (1010093)Detected formulas, will run a generic FOF schedule.
% 7.02/1.88 % (1010114)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=453898077:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.02/1.88 % (1010116)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3563571583:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.02/1.88 % (1010113)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=2033378524:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.02/1.88 % (1010115)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=3568207471:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.02/1.88 % (1010119)dis-21_1_sil=8000:lcm=predicate:random_seed=1545211088: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)
% 7.02/1.88 % (1010116)Refutation not found, incomplete strategy
% 7.02/1.88 % (1010116)------------------------------
% 7.02/1.88 % (1010116)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.02/1.88 % (1010116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.02/1.88 % (1010116)CaDiCaL version: 2.1.3
% 7.02/1.88 % (1010116)Termination reason: Refutation not found, incomplete strategy
% 7.02/1.88 % (1010116)Time elapsed: 0.001 s
% 7.02/1.88 % (1010116)Peak memory usage: 88 MB
% 7.02/1.88 % (1010119)Refutation not found, incomplete strategy
% 7.02/1.88 % (1010119)------------------------------
% 7.02/1.88 % (1010119)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.02/1.88 % (1010119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.02/1.88 % (1010119)CaDiCaL version: 2.1.3
% 7.02/1.88 % (1010119)Termination reason: Refutation not found, incomplete strategy
% 7.02/1.88 % (1010119)Time elapsed: 0.002 s
% 7.02/1.88 % (1010119)Peak memory usage: 88 MB
% 7.02/1.88 % (1010119)Instructions burned: 1 (million)
% 7.02/1.88 % (1010118)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1796172791:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.02/1.88 % (1010117)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=109501945:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.02/1.88 % (1010118)Instruction limit reached!
% 7.02/1.88 % (1010118)------------------------------
% 7.02/1.88 % (1010118)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.02/1.88 % (1010118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.02/1.88 % (1010118)CaDiCaL version: 2.1.3
% 7.02/1.88 % (1010118)Termination reason: Instruction limit
% 7.02/1.88 % (1010118)Termination phase: Saturation
% 7.02/1.88 % (1010118)Time elapsed: 0.044 s
% 7.02/1.88 % (1010118)Peak memory usage: 90 MB
% 7.02/1.88 % (1010118)Instructions burned: 142 (million)
% 7.02/1.88 % (1010117)Instruction limit reached!
% 7.02/1.88 % (1010117)------------------------------
% 7.02/1.88 % (1010117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.02/1.88 % (1010117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.02/1.88 % (1010117)CaDiCaL version: 2.1.3
% 7.02/1.88 % (1010117)Termination reason: Instruction limit
% 7.02/1.88 % (1010117)Termination phase: Saturation
% 7.02/1.88 % (1010117)Time elapsed: 0.055 s
% 7.02/1.88 % (1010117)Peak memory usage: 88 MB
% 7.02/1.88 % (1010117)Instructions burned: 119 (million)
% 7.02/1.88 % (1010140)lrs+10_1_sil=8000:sp=occurrence:random_seed=3461178244:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 7.02/1.88 % (1010141)lrs+10_1_sil=32000:urr=on:br=off:random_seed=871993648:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 7.02/1.88 % (1010116)------------------------------
% 7.02/1.88 % (1010116)------------------------------
% 7.02/1.88 % (1010119)------------------------------
% 7.02/1.88 % (1010119)------------------------------
% 7.02/1.88 % (1010140)Instruction limit reached!
% 7.02/1.88 % (1010140)------------------------------
% 7.02/1.88 % (1010140)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.02/1.88 % (1010140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.27/2.17 % (1010140)CaDiCaL version: 2.1.3
% 9.27/2.17 % (1010140)Termination reason: Instruction limit
% 9.27/2.17 % (1010140)Termination phase: Saturation
% 9.27/2.17 % (1010140)Time elapsed: 0.086 s
% 9.27/2.17 % (1010140)Peak memory usage: 89 MB
% 9.27/2.17 % (1010140)Instructions burned: 285 (million)
% 9.27/2.17 % (1010141)Instruction limit reached!
% 9.27/2.17 % (1010141)------------------------------
% 9.27/2.17 % (1010141)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.27/2.17 % (1010141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.27/2.17 % (1010141)CaDiCaL version: 2.1.3
% 9.27/2.17 % (1010141)Termination reason: Instruction limit
% 9.27/2.17 % (1010141)Termination phase: Saturation
% 9.27/2.17 % (1010141)Time elapsed: 0.078 s
% 9.27/2.17 % (1010141)Peak memory usage: 89 MB
% 9.27/2.17 % (1010141)Instructions burned: 157 (million)
% 9.27/2.17 % (1010144)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1431028481:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 9.27/2.17 % (1010145)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=3246880189:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 9.27/2.17 % (1010146)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=919891933:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 9.27/2.17 % (1010146)Refutation not found, incomplete strategy
% 9.27/2.17 % (1010146)------------------------------
% 9.27/2.17 % (1010146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.27/2.17 % (1010146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.27/2.17 % (1010146)CaDiCaL version: 2.1.3
% 9.27/2.17 % (1010146)Termination reason: Refutation not found, incomplete strategy
% 9.27/2.17 % (1010146)Time elapsed: 0.003 s
% 9.27/2.17 % (1010146)Peak memory usage: 88 MB
% 9.27/2.17 % (1010146)Instructions burned: 1 (million)
% 9.27/2.17 % (1010147)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=830267655:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 9.27/2.17 % (1010145)Instruction limit reached!
% 9.27/2.17 % (1010145)------------------------------
% 9.27/2.17 % (1010145)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.27/2.17 % (1010145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.27/2.17 % (1010145)CaDiCaL version: 2.1.3
% 9.27/2.17 % (1010145)Termination reason: Instruction limit
% 9.27/2.17 % (1010145)Termination phase: Saturation
% 9.27/2.17 % (1010145)Time elapsed: 0.196 s
% 9.27/2.17 % (1010145)Peak memory usage: 91 MB
% 9.27/2.17 % (1010145)Instructions burned: 248 (million)
% 9.27/2.17 % (1010144)Instruction limit reached!
% 9.27/2.17 % (1010144)------------------------------
% 9.27/2.17 % (1010144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.27/2.17 % (1010144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.27/2.17 % (1010144)CaDiCaL version: 2.1.3
% 9.27/2.17 % (1010144)Termination reason: Instruction limit
% 9.27/2.17 % (1010144)Termination phase: Saturation
% 9.27/2.17 % (1010144)Time elapsed: 0.278 s
% 9.27/2.17 % (1010144)Peak memory usage: 92 MB
% 9.27/2.17 % (1010144)Instructions burned: 325 (million)
% 9.27/2.17 % (1010113)First to succeed.
% 9.27/2.17 % (1010113)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1010093"
% 9.27/2.17 % (1010115)Refutation not found, incomplete strategy
% 9.27/2.17 % (1010115)------------------------------
% 9.27/2.17 % (1010115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.27/2.17 % (1010115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.27/2.17 % (1010115)CaDiCaL version: 2.1.3
% 9.27/2.17 % (1010115)Termination reason: Refutation not found, incomplete strategy
% 9.27/2.17 % (1010115)Time elapsed: 0.706 s
% 9.27/2.17 % (1010115)Peak memory usage: 126 MB
% 9.27/2.17 % (1010115)Instructions burned: 888 (million)
% 9.27/2.17 % (1010146)------------------------------
% 9.27/2.17 % (1010146)------------------------------
% 9.27/2.17 % (1010114)Also succeeded, but the first one will report.
% 9.27/2.17 % (1010161)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=28571272:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 9.27/2.17 % (1010161)Refutation not found, incomplete strategy
% 9.27/2.17 % (1010161)------------------------------
% 9.27/2.17 % (1010161)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.27/2.17 % (1010161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.27/2.17 % (1010161)CaDiCaL version: 2.1.3
% 9.27/2.17 % (1010161)Termination reason: Refutation not found, incomplete strategy
% 9.27/2.17 % (1010161)Time elapsed: 0.002 s
% 9.27/2.17 % (1010161)Peak memory usage: 88 MB
% 9.27/2.17 % (1010170)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1722003204:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 9.27/2.17 % (1010168)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3351270161:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 9.27/2.17 % (1010168)Refutation not found, incomplete strategy
% 9.27/2.17 % (1010168)------------------------------
% 9.27/2.17 % (1010168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.27/2.17 % (1010168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.27/2.17 % (1010168)CaDiCaL version: 2.1.3
% 9.27/2.17 % (1010168)Termination reason: Refutation not found, incomplete strategy
% 9.27/2.17 % (1010168)Time elapsed: 0.002 s
% 9.27/2.17 % (1010168)Peak memory usage: 87 MB
% 9.27/2.17 % (1010168)Instructions burned: 1 (million)
% 9.27/2.17 % (1010170)Instruction limit reached!
% 9.27/2.17 % (1010170)------------------------------
% 9.27/2.17 % (1010170)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.27/2.17 % (1010170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.27/2.17 % (1010170)CaDiCaL version: 2.1.3
% 9.27/2.17 % (1010170)Termination reason: Instruction limit
% 9.27/2.17 % (1010170)Termination phase: Saturation
% 9.27/2.17 % (1010170)Time elapsed: 0.060 s
% 9.27/2.17 % (1010170)Peak memory usage: 89 MB
% 9.27/2.17 % (1010170)Instructions burned: 116 (million)
% 9.27/2.17 % (1010115)------------------------------
% 9.27/2.17 % (1010115)------------------------------
% 9.27/2.17 % (1010113)Refutation found. Thanks to Tanya!
% 9.27/2.17 % SZS status Theorem for theBenchmark
% 9.27/2.17 % SZS output start Proof for theBenchmark
% See solution above
% 9.27/2.17 % (1010113)------------------------------
% 9.27/2.17 % (1010113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.27/2.17 % (1010113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.27/2.17 % (1010113)CaDiCaL version: 2.1.3
% 9.27/2.17 % (1010113)Termination reason: Refutation
% 9.27/2.17 % (1010113)Time elapsed: 0.704 s
% 9.27/2.17 % (1010113)Peak memory usage: 127 MB
% 9.27/2.17 % (1010113)Instructions burned: 960 (million)
% 9.27/2.17 % (1010113)------------------------------
% 9.27/2.17 % (1010113)------------------------------
% 9.27/2.17 % (1010093)Success in time 1.258 s
% 9.27/2.17 % Vampire exiting
%------------------------------------------------------------------------------