%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL012+1 : 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 : n014.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 12:33:42 PM UTC 2026
% Result : Theorem 12.02s 7.99s
% Output : Refutation 13.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 16
% Syntax : Number of formulae : 94 ( 94 unt; 6 def)
% Number of atoms : 94 ( 93 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 : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 105 ( 103 !; 2 ?)
% 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(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_identity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_additivity) ).
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(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_top) ).
fof(f14,conjecture,
! [X0,X1] : join(composition(complement(composition(X0,X1)),converse(X1)),complement(X0)) = complement(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0,X1] : join(composition(complement(composition(X0,X1)),converse(X1)),complement(X0)) = complement(X0),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
? [X0,X1] : complement(X0) != join(composition(complement(composition(X0,X1)),converse(X1)),complement(X0)),
inference(ennf_transformation,[],[f15]) ).
fof(f17,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)],[f16]) ).
fof(f18,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f19,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f20,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f23,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f25,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f26,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f27,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f28,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f29,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f31,plain,
complement(sK0) != join(composition(complement(composition(sK0,sK1)),converse(sK1)),complement(sK0)),
inference(cnf_transformation,[],[f17]) ).
fof(f33,definition,
sF2 = complement(sK0),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f34,plain,
complement(sK0) = sF2,
inference(reorient_equations,[],[f33]) ).
fof(f35,definition,
sF3 = composition(sK0,sK1),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f36,plain,
composition(sK0,sK1) = sF3,
inference(reorient_equations,[],[f35]) ).
fof(f37,definition,
sF4 = complement(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f38,plain,
complement(sF3) = sF4,
inference(reorient_equations,[],[f37]) ).
fof(f39,definition,
sF5 = converse(sK1),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f40,plain,
converse(sK1) = sF5,
inference(reorient_equations,[],[f39]) ).
fof(f41,definition,
sF6 = composition(sF4,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f42,plain,
composition(sF4,sF5) = sF6,
inference(reorient_equations,[],[f41]) ).
fof(f43,definition,
sF7 = join(sF6,sF2),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f44,plain,
join(sF6,sF2) = sF7,
inference(reorient_equations,[],[f43]) ).
fof(f45,plain,
sF2 != sF7,
inference(definition_folding,[],[f31,f44,f34,f42,f40,f38,f36,f34]) ).
fof(f57,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f26,f25]) ).
fof(f59,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f26,f25]) ).
fof(f72,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f20,f18]) ).
fof(f73,plain,
! [X0,X1] : join(complement(join(complement(X1),complement(X0))),complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f20,f18]) ).
fof(f74,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(superposition,[],[f20,f18]) ).
fof(f96,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(superposition,[],[f74,f18]) ).
fof(f100,plain,
! [X0] : converse(composition(X0,sK1)) = composition(sF5,converse(X0)),
inference(superposition,[],[f27,f40]) ).
fof(f101,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f27,f25]) ).
fof(f126,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),complement(X1))),join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f19,f20]) ).
fof(f172,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f101,f23]) ).
fof(f182,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f172,f25]) ).
fof(f196,plain,
one = converse(one),
inference(superposition,[],[f23,f182]) ).
fof(f200,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f182,f196]) ).
fof(f259,plain,
! [X0] : complement(X0) = join(composition(converse(one),complement(X0)),complement(X0)),
inference(superposition,[],[f28,f200]) ).
fof(f262,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f259,f182]) ).
fof(f272,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = join(X0,complement(join(complement(X0),X1))),
inference(superposition,[],[f126,f262]) ).
fof(f276,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f272,f20]) ).
fof(f320,plain,
! [X0] : complement(X0) = join(complement(top),complement(join(complement(complement(X0)),X0))),
inference(superposition,[],[f72,f29]) ).
fof(f340,plain,
! [X0,X1] : join(complement(X1),complement(X0)) = join(complement(X0),complement(join(join(complement(X0),X1),complement(join(complement(X1),complement(X0)))))),
inference(superposition,[],[f73,f72]) ).
fof(f353,plain,
! [X0,X1] : join(complement(X1),complement(X0)) = join(complement(X0),complement(join(complement(X0),join(X1,complement(join(complement(X1),complement(X0))))))),
inference(forward_demodulation,[],[f340,f19]) ).
fof(f356,plain,
! [X0,X1] : join(complement(X1),complement(X0)) = join(complement(X0),complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f353,f276]) ).
fof(f415,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f57,f29]) ).
fof(f443,plain,
! [X0] : join(complement(join(complement(converse(complement(converse(complement(X0))))),complement(X0))),complement(converse(top))) = X0,
inference(superposition,[],[f72,f415]) ).
fof(f444,plain,
! [X0] : join(X0,complement(converse(top))) = X0,
inference(superposition,[],[f276,f415]) ).
fof(f453,plain,
! [X0] : complement(join(complement(converse(complement(converse(complement(X0))))),complement(X0))) = X0,
inference(forward_demodulation,[],[f443,f444]) ).
fof(f470,plain,
! [X0] : join(complement(top),complement(join(complement(complement(complement(X0))),complement(X0)))) = X0,
inference(superposition,[],[f96,f29]) ).
fof(f472,plain,
! [X0] : join(complement(converse(top)),complement(join(complement(converse(complement(converse(complement(X0))))),complement(X0)))) = X0,
inference(superposition,[],[f96,f415]) ).
fof(f509,plain,
! [X0] : join(complement(converse(top)),X0) = X0,
inference(forward_demodulation,[],[f472,f453]) ).
fof(f511,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f470,f320]) ).
fof(f550,plain,
! [X0,X1] : complement(X0) = join(complement(join(complement(X1),X0)),complement(join(X0,X1))),
inference(superposition,[],[f72,f511]) ).
fof(f561,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,X1))),
inference(superposition,[],[f356,f511]) ).
fof(f732,plain,
! [X0] : join(X0,complement(converse(top))) = join(complement(converse(complement(converse(X0)))),X0),
inference(superposition,[],[f561,f415]) ).
fof(f788,plain,
! [X0] : join(complement(converse(complement(converse(X0)))),X0) = X0,
inference(forward_demodulation,[],[f732,f444]) ).
fof(f966,plain,
! [X0,X1] : join(complement(complement(join(X0,X1))),complement(join(complement(X1),X0))) = join(complement(join(complement(X1),X0)),complement(complement(X0))),
inference(superposition,[],[f561,f550]) ).
fof(f969,plain,
! [X0,X1] : join(complement(complement(join(X0,X1))),complement(join(complement(X1),X0))) = join(complement(join(complement(X1),X0)),X0),
inference(forward_demodulation,[],[f966,f511]) ).
fof(f1020,plain,
! [X0,X1] : join(join(X0,X1),complement(join(complement(X1),X0))) = join(complement(join(complement(X1),X0)),X0),
inference(forward_demodulation,[],[f969,f511]) ).
fof(f1040,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),X0) = join(X0,join(X1,complement(join(complement(X1),X0)))),
inference(forward_demodulation,[],[f1020,f19]) ).
fof(f1051,plain,
! [X0,X1] : join(X0,X1) = join(complement(join(complement(X1),X0)),X0),
inference(forward_demodulation,[],[f1040,f276]) ).
fof(f7390,plain,
! [X0] : join(converse(complement(converse(complement(X0)))),X0) = join(complement(converse(top)),converse(complement(converse(complement(X0))))),
inference(superposition,[],[f1051,f415]) ).
fof(f7516,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(converse(complement(converse(complement(X0)))),X0),
inference(forward_demodulation,[],[f7390,f509]) ).
fof(f10417,plain,
! [X0] : converse(converse(X0)) = join(converse(complement(converse(complement(converse(converse(X0)))))),X0),
inference(superposition,[],[f59,f788]) ).
fof(f10420,plain,
! [X0] : join(converse(complement(converse(complement(X0)))),X0) = X0,
inference(forward_demodulation,[],[f10417,f25]) ).
fof(f10457,plain,
! [X0] : converse(complement(converse(complement(X0)))) = X0,
inference(forward_demodulation,[],[f10420,f7516]) ).
fof(f10497,plain,
! [X0] : complement(X0) = converse(complement(converse(X0))),
inference(superposition,[],[f10457,f511]) ).
fof(f10755,plain,
! [X0] : complement(converse(X0)) = converse(complement(X0)),
inference(superposition,[],[f25,f10497]) ).
fof(f10763,plain,
! [X0,X1] : composition(converse(X1),complement(converse(X0))) = converse(composition(complement(X0),X1)),
inference(superposition,[],[f101,f10497]) ).
fof(f10801,plain,
complement(converse(sK0)) = converse(sF2),
inference(superposition,[],[f10755,f34]) ).
fof(f17034,plain,
converse(sF3) = composition(sF5,converse(sK0)),
inference(superposition,[],[f100,f36]) ).
fof(f20562,plain,
complement(converse(sK0)) = join(composition(converse(sF5),complement(converse(sF3))),complement(converse(sK0))),
inference(superposition,[],[f28,f17034]) ).
fof(f20578,plain,
converse(sF2) = join(composition(converse(sF5),complement(converse(sF3))),converse(sF2)),
inference(forward_demodulation,[],[f20562,f10801]) ).
fof(f20585,plain,
converse(sF2) = join(converse(composition(complement(sF3),sF5)),converse(sF2)),
inference(forward_demodulation,[],[f20578,f10763]) ).
fof(f20591,plain,
converse(sF2) = converse(join(composition(complement(sF3),sF5),sF2)),
inference(forward_demodulation,[],[f20585,f26]) ).
fof(f20595,plain,
converse(sF2) = converse(join(composition(sF4,sF5),sF2)),
inference(forward_demodulation,[],[f20591,f38]) ).
fof(f20596,plain,
converse(sF2) = converse(join(sF6,sF2)),
inference(forward_demodulation,[],[f20595,f42]) ).
fof(f20597,plain,
converse(sF2) = converse(sF7),
inference(forward_demodulation,[],[f20596,f44]) ).
fof(f20598,plain,
sF7 = converse(converse(sF2)),
inference(superposition,[],[f25,f20597]) ).
fof(f20635,plain,
sF2 = sF7,
inference(forward_demodulation,[],[f20598,f25]) ).
fof(f20641,plain,
$false,
inference(forward_subsumption_resolution,[],[f20635,f45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : REL012+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/5.60 % Computer : n014.cluster.edu
% 0.11/5.60 % Model : x86_64 x86_64
% 0.11/5.60 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.60 % Memory : 8046.5625MB
% 0.11/5.60 % OS : Linux 6.8.0-71-generic
% 0.11/5.60 % CPULimit : 300
% 0.11/5.60 % WCLimit : 300
% 0.11/5.60 % DateTime : Sun Sep 27 22:50:53 UTC 2026
% 0.11/5.60 % CPUTime :
% 0.11/5.60 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/5.64 Running first-order theorem proving
% 0.11/5.64 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
% 9.97/7.63 % (1254341)Detected formulas, will run a generic FOF schedule.
% 9.97/7.63 % (1254417)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=50041782:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.97/7.63 % (1254417)Instruction limit reached!
% 9.97/7.63 % (1254417)------------------------------
% 9.97/7.63 % (1254417)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.97/7.63 % (1254417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.97/7.63 % (1254417)CaDiCaL version: 2.1.3
% 9.97/7.63 % (1254417)Termination reason: Instruction limit
% 9.97/7.63 % (1254417)Termination phase: Saturation
% 9.97/7.63 % (1254417)Time elapsed: 0.035 s
% 9.97/7.63 % (1254417)Peak memory usage: 88 MB
% 9.97/7.63 % (1254417)Instructions burned: 122 (million)
% 9.97/7.63 % (1254414)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=2918923952:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.97/7.63 % (1254416)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1963437699:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.97/7.63 % (1254415)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=3274068787:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.97/7.63 % (1254413)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=42015030:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.97/7.63 % (1254416)Refutation not found, incomplete strategy
% 9.97/7.63 % (1254416)------------------------------
% 9.97/7.63 % (1254416)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.97/7.63 % (1254416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.97/7.63 % (1254416)CaDiCaL version: 2.1.3
% 9.97/7.63 % (1254416)Termination reason: Refutation not found, incomplete strategy
% 9.97/7.63 % (1254416)Time elapsed: 0.002 s
% 9.97/7.63 % (1254416)Peak memory usage: 88 MB
% 9.97/7.63 % (1254419)dis-21_1_sil=8000:lcm=predicate:random_seed=1126273380: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)
% 9.97/7.63 % (1254418)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=642196041:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.97/7.63 % (1254419)Refutation not found, incomplete strategy
% 9.97/7.63 % (1254419)------------------------------
% 9.97/7.63 % (1254419)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.97/7.63 % (1254419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.97/7.63 % (1254419)CaDiCaL version: 2.1.3
% 9.97/7.63 % (1254419)Termination reason: Refutation not found, incomplete strategy
% 9.97/7.63 % (1254419)Time elapsed: 0.001 s
% 9.97/7.63 % (1254419)Peak memory usage: 88 MB
% 9.97/7.63 % (1254419)Instructions burned: 1 (million)
% 9.97/7.63 % (1254418)Instruction limit reached!
% 9.97/7.63 % (1254418)------------------------------
% 9.97/7.63 % (1254418)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.97/7.63 % (1254418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.97/7.63 % (1254418)CaDiCaL version: 2.1.3
% 9.97/7.63 % (1254418)Termination reason: Instruction limit
% 9.97/7.63 % (1254418)Termination phase: Saturation
% 9.97/7.63 % (1254418)Time elapsed: 0.087 s
% 9.97/7.63 % (1254418)Peak memory usage: 90 MB
% 9.97/7.63 % (1254418)Instructions burned: 139 (million)
% 9.97/7.63 % (1254429)lrs+10_1_sil=8000:sp=occurrence:random_seed=2873563006:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 9.97/7.63 % (1254429)Instruction limit reached!
% 9.97/7.63 % (1254429)------------------------------
% 9.97/7.63 % (1254429)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.97/7.63 % (1254429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.97/7.63 % (1254429)CaDiCaL version: 2.1.3
% 9.97/7.63 % (1254429)Termination reason: Instruction limit
% 9.97/7.63 % (1254429)Termination phase: Saturation
% 9.97/7.63 % (1254429)Time elapsed: 0.091 s
% 9.97/7.63 % (1254429)Peak memory usage: 91 MB
% 9.97/7.63 % (1254429)Instructions burned: 285 (million)
% 9.97/7.63 % (1254416)------------------------------
% 9.97/7.63 % (1254416)------------------------------
% 12.02/7.98 % (1254419)------------------------------
% 12.02/7.98 % (1254419)------------------------------
% 12.02/7.98 % (1254437)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1287951022:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 12.02/7.98 % (1254457)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3939639806:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 12.02/7.98 % (1254437)Instruction limit reached!
% 12.02/7.98 % (1254437)------------------------------
% 12.02/7.98 % (1254437)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.02/7.98 % (1254437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.02/7.98 % (1254437)CaDiCaL version: 2.1.3
% 12.02/7.98 % (1254437)Termination reason: Instruction limit
% 12.02/7.98 % (1254437)Termination phase: Saturation
% 12.02/7.98 % (1254437)Time elapsed: 0.097 s
% 12.02/7.98 % (1254437)Peak memory usage: 90 MB
% 12.02/7.98 % (1254437)Instructions burned: 157 (million)
% 12.02/7.98 % (1254460)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1616432508:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 12.02/7.98 % (1254459)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=1496739317:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 12.02/7.98 % (1254460)Refutation not found, incomplete strategy
% 12.02/7.98 % (1254460)------------------------------
% 12.02/7.98 % (1254460)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.02/7.98 % (1254460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.02/7.98 % (1254460)CaDiCaL version: 2.1.3
% 12.02/7.98 % (1254460)Termination reason: Refutation not found, incomplete strategy
% 12.02/7.98 % (1254460)Time elapsed: 0.002 s
% 12.02/7.98 % (1254460)Peak memory usage: 88 MB
% 12.02/7.98 % (1254460)Instructions burned: 1 (million)
% 12.02/7.98 % (1254457)Instruction limit reached!
% 12.02/7.98 % (1254457)------------------------------
% 12.02/7.98 % (1254457)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.02/7.98 % (1254457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.02/7.98 % (1254457)CaDiCaL version: 2.1.3
% 12.02/7.98 % (1254457)Termination reason: Instruction limit
% 12.02/7.98 % (1254457)Termination phase: Saturation
% 12.02/7.98 % (1254457)Time elapsed: 0.106 s
% 12.02/7.98 % (1254457)Peak memory usage: 92 MB
% 12.02/7.98 % (1254457)Instructions burned: 326 (million)
% 12.02/7.98 % (1254462)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3015285084:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 12.02/7.98 % (1254459)Instruction limit reached!
% 12.02/7.98 % (1254459)------------------------------
% 12.02/7.98 % (1254459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.02/7.98 % (1254459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.02/7.98 % (1254459)CaDiCaL version: 2.1.3
% 12.02/7.98 % (1254459)Termination reason: Instruction limit
% 12.02/7.98 % (1254459)Termination phase: Saturation
% 12.02/7.98 % (1254459)Time elapsed: 0.159 s
% 12.02/7.98 % (1254459)Peak memory usage: 91 MB
% 12.02/7.98 % (1254459)Instructions burned: 248 (million)
% 12.02/7.98 % (1254487)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=681982628:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 12.02/7.98 % (1254487)Refutation not found, incomplete strategy
% 12.02/7.98 % (1254487)------------------------------
% 12.02/7.98 % (1254487)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.02/7.98 % (1254487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.02/7.98 % (1254487)CaDiCaL version: 2.1.3
% 12.02/7.98 % (1254487)Termination reason: Refutation not found, incomplete strategy
% 12.02/7.98 % (1254487)Time elapsed: 0.001 s
% 12.02/7.98 % (1254487)Peak memory usage: 88 MB
% 12.02/7.98 % (1254415)Refutation not found, incomplete strategy
% 12.02/7.98 % (1254415)------------------------------
% 12.02/7.98 % (1254415)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.02/7.98 % (1254415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.02/7.98 % (1254415)CaDiCaL version: 2.1.3
% 12.02/7.98 % (1254415)Termination reason: Refutation not found, incomplete strategy
% 12.02/7.98 % (1254415)Time elapsed: 0.607 s
% 12.02/7.98 % (1254415)Peak memory usage: 127 MB
% 12.02/7.98 % (1254415)Instructions burned: 896 (million)
% 12.02/7.98 % (1254460)------------------------------
% 12.02/7.98 % (1254460)------------------------------
% 12.02/7.98 % (1254487)------------------------------
% 12.02/7.98 % (1254487)------------------------------
% 12.02/7.98 % (1254526)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4237633355:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 12.02/7.98 % (1254526)Refutation not found, incomplete strategy
% 12.02/7.98 % (1254526)------------------------------
% 12.02/7.98 % (1254526)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.02/7.98 % (1254526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.02/7.98 % (1254526)CaDiCaL version: 2.1.3
% 12.02/7.98 % (1254526)Termination reason: Refutation not found, incomplete strategy
% 12.02/7.98 % (1254526)Time elapsed: 0.001 s
% 12.02/7.98 % (1254526)Peak memory usage: 87 MB
% 12.02/7.98 % (1254527)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2356636684:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 12.02/7.98 % (1254528)lrs+10_1_sil=8000:sp=occurrence:random_seed=4176757230:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 12.02/7.99 % (1254415)------------------------------
% 12.02/7.99 % (1254415)------------------------------
% 12.02/7.99 % (1254527)Instruction limit reached!
% 12.02/7.99 % (1254527)------------------------------
% 12.02/7.99 % (1254527)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.02/7.99 % (1254527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.02/7.99 % (1254527)CaDiCaL version: 2.1.3
% 12.02/7.99 % (1254527)Termination reason: Instruction limit
% 12.02/7.99 % (1254527)Termination phase: Saturation
% 12.02/7.99 % (1254527)Time elapsed: 0.066 s
% 12.02/7.99 % (1254527)Peak memory usage: 89 MB
% 12.02/7.99 % (1254527)Instructions burned: 114 (million)
% 12.02/7.99 % (1254526)------------------------------
% 12.02/7.99 % (1254526)------------------------------
% 12.02/7.99 % (1254532)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3822243308:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 12.02/7.99 % (1254532)Refutation not found, incomplete strategy
% 12.02/7.99 % (1254532)------------------------------
% 12.02/7.99 % (1254532)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.02/7.99 % (1254532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.02/7.99 % (1254532)CaDiCaL version: 2.1.3
% 12.02/7.99 % (1254532)Termination reason: Refutation not found, incomplete strategy
% 12.02/7.99 % (1254532)Time elapsed: 0.002 s
% 12.02/7.99 % (1254532)Peak memory usage: 88 MB
% 12.02/7.99 % (1254533)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3406918408:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 12.02/7.99 % (1254528)Instruction limit reached!
% 12.02/7.99 % (1254528)------------------------------
% 12.02/7.99 % (1254528)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.02/7.99 % (1254528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.02/7.99 % (1254528)CaDiCaL version: 2.1.3
% 12.02/7.99 % (1254528)Termination reason: Instruction limit
% 12.02/7.99 % (1254528)Termination phase: Saturation
% 12.02/7.99 % (1254528)Time elapsed: 0.288 s
% 12.02/7.99 % (1254528)Peak memory usage: 96 MB
% 12.02/7.99 % (1254528)Instructions burned: 909 (million)
% 12.02/7.99 % (1254534)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1381619249:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 12.02/7.99 % (1254534)Refutation not found, incomplete strategy
% 12.02/7.99 % (1254534)------------------------------
% 12.02/7.99 % (1254534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.02/7.99 % (1254534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.02/7.99 % (1254534)CaDiCaL version: 2.1.3
% 12.02/7.99 % (1254534)Termination reason: Refutation not found, incomplete strategy
% 12.02/7.99 % (1254534)Time elapsed: 0.002 s
% 12.02/7.99 % (1254534)Peak memory usage: 88 MB
% 12.02/7.99 % (1254534)Instructions burned: 1 (million)
% 12.02/7.99 % (1254532)------------------------------
% 12.02/7.99 % (1254532)------------------------------
% 12.02/7.99 % (1254537)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2707666057:st=8:i=592:sd=3:ep=RST:ss=axioms_2987 on theBenchmark for (2987ds/592Mi)
% 12.02/7.99 % (1254534)------------------------------
% 12.02/7.99 % (1254534)------------------------------
% 12.02/7.99 % (1254540)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=965393098:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 12.02/7.99 % (1254537)Instruction limit reached!
% 12.02/7.99 % (1254537)------------------------------
% 12.02/7.99 % (1254537)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.02/7.99 % (1254537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.02/7.99 % (1254537)CaDiCaL version: 2.1.3
% 12.02/7.99 % (1254537)Termination reason: Instruction limit
% 12.02/7.99 % (1254537)Termination phase: Saturation
% 12.02/7.99 % (1254537)Time elapsed: 0.188 s
% 12.02/7.99 % (1254537)Peak memory usage: 94 MB
% 12.02/7.99 % (1254537)Instructions burned: 594 (million)
% 12.02/7.99 % (1254413)First to succeed.
% 12.02/7.99 % (1254413)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1254341"
% 12.02/7.99 % (1254541)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3922073343:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/125Mi)
% 12.02/7.99 % (1254543)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=916233436:i=134:gtgl=5:slsql=off:gtg=exists_sym_2983 on theBenchmark for (2983ds/134Mi)
% 12.02/7.99 % (1254543)Instruction limit reached!
% 12.02/7.99 % (1254543)------------------------------
% 12.02/7.99 % (1254543)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.02/7.99 % (1254543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.02/7.99 % (1254543)CaDiCaL version: 2.1.3
% 12.02/7.99 % (1254543)Termination reason: Instruction limit
% 12.02/7.99 % (1254543)Termination phase: Saturation
% 12.02/7.99 % (1254543)Time elapsed: 0.037 s
% 12.02/7.99 % (1254543)Peak memory usage: 88 MB
% 12.02/7.99 % (1254543)Instructions burned: 135 (million)
% 12.02/7.99 % (1254541)Instruction limit reached!
% 12.02/7.99 % (1254541)------------------------------
% 12.02/7.99 % (1254541)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.02/7.99 % (1254541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.02/7.99 % (1254541)CaDiCaL version: 2.1.3
% 12.02/7.99 % (1254541)Termination reason: Instruction limit
% 12.02/7.99 % (1254541)Termination phase: Saturation
% 12.02/7.99 % (1254541)Time elapsed: 0.079 s
% 12.02/7.99 % (1254541)Peak memory usage: 90 MB
% 12.02/7.99 % (1254541)Instructions burned: 125 (million)
% 12.02/7.99 % (1254462)Also succeeded, but the first one will report.
% 12.02/7.99 % (1254546)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3343367348:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/141Mi)
% 12.02/7.99 % (1254546)Refutation not found, incomplete strategy
% 12.02/7.99 % (1254546)------------------------------
% 12.02/7.99 % (1254546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.02/7.99 % (1254546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.02/7.99 % (1254546)CaDiCaL version: 2.1.3
% 12.02/7.99 % (1254546)Termination reason: Refutation not found, incomplete strategy
% 12.02/7.99 % (1254546)Time elapsed: 0.001 s
% 12.02/7.99 % (1254546)Peak memory usage: 88 MB
% 12.02/7.99 % (1254413)Refutation found. Thanks to Tanya!
% 12.02/7.99 % SZS status Theorem for theBenchmark
% 12.02/7.99 % SZS output start Proof for theBenchmark
% See solution above
% 13.89/8.10 % (1254413)------------------------------
% 13.89/8.10 % (1254413)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.89/8.10 % (1254413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.89/8.10 % (1254413)CaDiCaL version: 2.1.3
% 13.89/8.10 % (1254413)Termination reason: Refutation
% 13.89/8.10 % (1254413)Time elapsed: 1.465 s
% 13.89/8.10 % (1254413)Peak memory usage: 141 MB
% 13.89/8.10 % (1254413)Instructions burned: 2325 (million)
% 13.89/8.10 % (1254413)------------------------------
% 13.89/8.10 % (1254413)------------------------------
% 13.89/8.10 % (1254341)Success in time 1.901 s
% 13.89/8.10 % Vampire exiting
%------------------------------------------------------------------------------