%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL017+3 : 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 : n008.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 12:33:46 PM UTC 2026
% Result : Theorem 15.00s 3.46s
% Output : Refutation 16.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 24
% Syntax : Number of formulae : 106 ( 106 unt; 12 def)
% Number of atoms : 106 ( 105 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 17 con; 0-2 aty)
% Number of variables : 119 ( 116 !; 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(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(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_zero) ).
fof(f17,conjecture,
! [X0,X1,X2] : join(complement(composition(X0,X1)),composition(X0,X2)) = join(complement(composition(X0,meet(X1,complement(X2)))),composition(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0,X1,X2] : join(complement(composition(X0,X1)),composition(X0,X2)) = join(complement(composition(X0,meet(X1,complement(X2)))),composition(X0,X2)),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
? [X0,X1,X2] : join(complement(composition(X0,X1)),composition(X0,X2)) != join(complement(composition(X0,meet(X1,complement(X2)))),composition(X0,X2)),
inference(ennf_transformation,[],[f18]) ).
fof(f20,plain,
join(complement(composition(sK0,sK1)),composition(sK0,sK2)) != join(complement(composition(sK0,meet(sK1,complement(sK2)))),composition(sK0,sK2)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f19]) ).
fof(f21,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
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(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f24,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f26,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
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(f31,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f33,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f37,plain,
join(complement(composition(sK0,sK1)),composition(sK0,sK2)) != join(complement(composition(sK0,meet(sK1,complement(sK2)))),composition(sK0,sK2)),
inference(cnf_transformation,[],[f20]) ).
fof(f38,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f33,f24]) ).
fof(f42,plain,
join(complement(composition(sK0,sK1)),composition(sK0,sK2)) != join(complement(composition(sK0,complement(join(complement(sK1),complement(complement(sK2)))))),composition(sK0,sK2)),
inference(definition_unfolding,[],[f37,f24]) ).
fof(f43,definition,
sF3 = composition(sK0,sK1),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f44,plain,
composition(sK0,sK1) = sF3,
inference(reorient_equations,[],[f43]) ).
fof(f45,definition,
sF4 = complement(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f46,plain,
complement(sF3) = sF4,
inference(reorient_equations,[],[f45]) ).
fof(f47,definition,
sF5 = composition(sK0,sK2),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f48,plain,
composition(sK0,sK2) = sF5,
inference(reorient_equations,[],[f47]) ).
fof(f49,definition,
sF6 = join(sF4,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f50,plain,
join(sF4,sF5) = sF6,
inference(reorient_equations,[],[f49]) ).
fof(f51,definition,
sF7 = complement(sK1),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f52,plain,
complement(sK1) = sF7,
inference(reorient_equations,[],[f51]) ).
fof(f53,definition,
sF8 = complement(sK2),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f54,plain,
complement(sK2) = sF8,
inference(reorient_equations,[],[f53]) ).
fof(f55,definition,
sF9 = complement(sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f56,plain,
complement(sF8) = sF9,
inference(reorient_equations,[],[f55]) ).
fof(f57,definition,
sF10 = join(sF7,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f58,plain,
join(sF7,sF9) = sF10,
inference(reorient_equations,[],[f57]) ).
fof(f59,definition,
sF11 = complement(sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f60,plain,
complement(sF10) = sF11,
inference(reorient_equations,[],[f59]) ).
fof(f61,definition,
sF12 = composition(sK0,sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f62,plain,
composition(sK0,sF11) = sF12,
inference(reorient_equations,[],[f61]) ).
fof(f63,definition,
sF13 = complement(sF12),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f64,plain,
complement(sF12) = sF13,
inference(reorient_equations,[],[f63]) ).
fof(f65,definition,
sF14 = join(sF13,sF5),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f66,plain,
join(sF13,sF5) = sF14,
inference(reorient_equations,[],[f65]) ).
fof(f67,plain,
sF6 != sF14,
inference(definition_folding,[],[f42,f66,f48,f64,f62,f60,f58,f56,f54,f52,f50,f48,f46,f44]) ).
fof(f99,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f30,f28]) ).
fof(f105,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(f131,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f23,f21]) ).
fof(f173,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f105,f30]) ).
fof(f182,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f173,f29]) ).
fof(f185,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f182,f29]) ).
fof(f187,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f185,f30]) ).
fof(f200,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f28,f187]) ).
fof(f211,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f200,f28]) ).
fof(f225,plain,
! [X0] : composition(sK0,join(sK1,X0)) = join(sF3,composition(sK0,X0)),
inference(superposition,[],[f211,f44]) ).
fof(f230,plain,
! [X0] : composition(sK0,join(X0,sF11)) = join(composition(sK0,X0),sF12),
inference(superposition,[],[f211,f62]) ).
fof(f381,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f99,f26]) ).
fof(f382,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f381,f28]) ).
fof(f399,plain,
one = converse(one),
inference(superposition,[],[f26,f382]) ).
fof(f414,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f382,f399]) ).
fof(f472,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),complement(X1))),join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f22,f23]) ).
fof(f487,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f21,f22]) ).
fof(f762,plain,
! [X0] : complement(X0) = join(composition(converse(one),complement(X0)),complement(X0)),
inference(superposition,[],[f31,f414]) ).
fof(f775,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f762,f382]) ).
fof(f799,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = join(X0,complement(join(complement(X0),X1))),
inference(superposition,[],[f472,f775]) ).
fof(f800,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f799,f23]) ).
fof(f826,plain,
! [X0] : join(X0,complement(complement(X0))) = X0,
inference(superposition,[],[f800,f800]) ).
fof(f827,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f800,f38]) ).
fof(f843,plain,
! [X2,X0,X1] : join(X1,X0) = join(complement(join(complement(X0),X2)),join(X1,X0)),
inference(superposition,[],[f487,f800]) ).
fof(f886,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f21,f827]) ).
fof(f902,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(complement(join(complement(X0),complement(complement(X0)))),X1)),
inference(superposition,[],[f472,f826]) ).
fof(f928,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(zero,X1)),
inference(forward_demodulation,[],[f902,f38]) ).
fof(f933,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),X1),
inference(forward_demodulation,[],[f928,f886]) ).
fof(f938,plain,
! [X0] : join(sK1,X0) = join(complement(sF7),X0),
inference(superposition,[],[f933,f52]) ).
fof(f976,plain,
! [X0] : complement(complement(X0)) = join(X0,zero),
inference(superposition,[],[f827,f933]) ).
fof(f977,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f976,f827]) ).
fof(f1003,plain,
sK2 = complement(sF8),
inference(superposition,[],[f977,f54]) ).
fof(f1018,plain,
! [X0,X1] : complement(X0) = join(complement(join(complement(X1),X0)),complement(join(X0,X1))),
inference(superposition,[],[f131,f977]) ).
fof(f1028,plain,
sK2 = sF9,
inference(forward_demodulation,[],[f1003,f56]) ).
fof(f1031,plain,
sF5 = composition(sK0,sF9),
inference(superposition,[],[f48,f1028]) ).
fof(f1435,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(complement(join(complement(X1),X0)),join(X0,X1)))),
inference(superposition,[],[f23,f1018]) ).
fof(f1457,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(complement(join(complement(X1),X0)),join(X0,X1)))),
inference(forward_demodulation,[],[f1435,f933]) ).
fof(f1512,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f1457,f843]) ).
fof(f1565,plain,
! [X0,X1] : join(complement(X0),X1) = join(X1,complement(join(X0,X1))),
inference(superposition,[],[f1512,f21]) ).
fof(f1754,plain,
join(complement(sF7),sF9) = join(sF9,complement(sF10)),
inference(superposition,[],[f1565,f58]) ).
fof(f1817,plain,
join(complement(sF7),sF9) = join(sF9,sF11),
inference(forward_demodulation,[],[f1754,f60]) ).
fof(f1847,plain,
join(sF9,sF11) = join(sK1,sF9),
inference(forward_demodulation,[],[f1817,f938]) ).
fof(f2094,plain,
join(sF3,composition(sK0,sF9)) = composition(sK0,join(sF9,sF11)),
inference(superposition,[],[f225,f1847]) ).
fof(f2109,plain,
join(sF3,composition(sK0,sF9)) = join(composition(sK0,sF9),sF12),
inference(forward_demodulation,[],[f2094,f230]) ).
fof(f2112,plain,
join(sF3,sF5) = join(sF5,sF12),
inference(forward_demodulation,[],[f2109,f1031]) ).
fof(f2862,plain,
join(complement(sF3),sF5) = join(sF5,complement(join(sF5,sF12))),
inference(superposition,[],[f1565,f2112]) ).
fof(f2864,plain,
join(complement(sF3),sF5) = join(complement(sF12),sF5),
inference(forward_demodulation,[],[f2862,f1512]) ).
fof(f2869,plain,
join(sF13,sF5) = join(complement(sF3),sF5),
inference(forward_demodulation,[],[f2864,f64]) ).
fof(f2873,plain,
join(sF4,sF5) = join(sF13,sF5),
inference(forward_demodulation,[],[f2869,f46]) ).
fof(f2875,plain,
join(sF4,sF5) = sF14,
inference(forward_demodulation,[],[f2873,f66]) ).
fof(f2876,plain,
sF6 = sF14,
inference(forward_demodulation,[],[f2875,f50]) ).
fof(f2877,plain,
$false,
inference(forward_subsumption_resolution,[],[f2876,f67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : REL017+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.22/0.49 % Computer : n008.cluster.edu
% 0.22/0.49 % Model : x86_64 x86_64
% 0.22/0.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.49 % Memory : 8046.5625MB
% 0.22/0.49 % OS : Linux 6.8.0-71-generic
% 0.22/0.49 % CPULimit : 300
% 0.22/0.49 % WCLimit : 300
% 0.22/0.49 % DateTime : Sun Sep 27 22:52:10 UTC 2026
% 0.22/0.49 % CPUTime :
% 0.22/0.49 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.27/0.55 Running first-order theorem proving
% 0.27/0.55 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
% 15.00/3.46 % (1695411)Detected formulas, will run a generic FOF schedule.
% 15.00/3.46 % (1695421)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4155118198:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 15.00/3.46 % (1695417)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=2834718653:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 15.00/3.46 % (1695416)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=1133234558:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 15.00/3.46 % (1695419)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1922289781:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 15.00/3.46 % (1695420)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3135663888:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 15.00/3.46 % (1695418)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=3711625198:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 15.00/3.46 % (1695419)Refutation not found, incomplete strategy
% 15.00/3.46 % (1695419)------------------------------
% 15.00/3.46 % (1695419)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.00/3.46 % (1695419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.00/3.46 % (1695419)CaDiCaL version: 2.1.3
% 15.00/3.46 % (1695419)Termination reason: Refutation not found, incomplete strategy
% 15.00/3.46 % (1695419)Time elapsed: 0.003 s
% 15.00/3.46 % (1695419)Peak memory usage: 88 MB
% 15.00/3.46 % (1695419)Instructions burned: 1 (million)
% 15.00/3.46 % (1695421)Instruction limit reached!
% 15.00/3.46 % (1695421)------------------------------
% 15.00/3.46 % (1695421)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.00/3.46 % (1695421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.00/3.46 % (1695421)CaDiCaL version: 2.1.3
% 15.00/3.46 % (1695421)Termination reason: Instruction limit
% 15.00/3.46 % (1695421)Termination phase: Saturation
% 15.00/3.46 % (1695421)Time elapsed: 0.073 s
% 15.00/3.46 % (1695421)Peak memory usage: 90 MB
% 15.00/3.46 % (1695421)Instructions burned: 140 (million)
% 15.00/3.46 % (1695422)dis-21_1_sil=8000:lcm=predicate:random_seed=3989583996: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)
% 15.00/3.46 % (1695422)Refutation not found, incomplete strategy
% 15.00/3.46 % (1695422)------------------------------
% 15.00/3.46 % (1695422)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.00/3.46 % (1695422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.00/3.46 % (1695422)CaDiCaL version: 2.1.3
% 15.00/3.46 % (1695422)Termination reason: Refutation not found, incomplete strategy
% 15.00/3.46 % (1695422)Time elapsed: 0.001 s
% 15.00/3.46 % (1695422)Peak memory usage: 88 MB
% 15.00/3.46 % (1695422)Instructions burned: 1 (million)
% 15.00/3.46 % (1695420)Instruction limit reached!
% 15.00/3.46 % (1695420)------------------------------
% 15.00/3.46 % (1695420)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.00/3.46 % (1695420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.00/3.46 % (1695420)CaDiCaL version: 2.1.3
% 15.00/3.46 % (1695420)Termination reason: Instruction limit
% 15.00/3.46 % (1695420)Termination phase: Saturation
% 15.00/3.46 % (1695420)Time elapsed: 0.110 s
% 15.00/3.46 % (1695420)Peak memory usage: 89 MB
% 15.00/3.46 % (1695420)Instructions burned: 120 (million)
% 15.00/3.46 % (1695422)------------------------------
% 15.00/3.46 % (1695422)------------------------------
% 15.00/3.46 % (1695430)lrs+10_1_sil=8000:sp=occurrence:random_seed=2834966445:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 15.00/3.46 % (1695431)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2148271954:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 15.00/3.46 % (1695419)------------------------------
% 15.00/3.46 % (1695419)------------------------------
% 15.00/3.46 % (1695433)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3227563348:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 15.00/3.46 % (1695431)Instruction limit reached!
% 15.00/3.46 % (1695431)------------------------------
% 15.00/3.46 % (1695431)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.00/3.46 % (1695431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.00/3.46 % (1695431)CaDiCaL version: 2.1.3
% 15.00/3.46 % (1695431)Termination reason: Instruction limit
% 15.00/3.46 % (1695431)Termination phase: Saturation
% 15.00/3.46 % (1695431)Time elapsed: 0.154 s
% 15.00/3.46 % (1695431)Peak memory usage: 90 MB
% 15.00/3.46 % (1695431)Instructions burned: 157 (million)
% 15.00/3.46 % (1695430)Instruction limit reached!
% 15.00/3.46 % (1695430)------------------------------
% 15.00/3.46 % (1695430)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.00/3.46 % (1695430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.00/3.46 % (1695430)CaDiCaL version: 2.1.3
% 15.00/3.46 % (1695430)Termination reason: Instruction limit
% 15.00/3.46 % (1695430)Termination phase: Saturation
% 15.00/3.46 % (1695430)Time elapsed: 0.282 s
% 15.00/3.46 % (1695430)Peak memory usage: 91 MB
% 15.00/3.46 % (1695430)Instructions burned: 285 (million)
% 15.00/3.46 % (1695433)Instruction limit reached!
% 15.00/3.46 % (1695433)------------------------------
% 15.00/3.46 % (1695433)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.00/3.46 % (1695433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.00/3.46 % (1695433)CaDiCaL version: 2.1.3
% 15.00/3.46 % (1695433)Termination reason: Instruction limit
% 15.00/3.46 % (1695433)Termination phase: Saturation
% 15.00/3.46 % (1695433)Time elapsed: 0.171 s
% 15.00/3.46 % (1695433)Peak memory usage: 92 MB
% 15.00/3.46 % (1695433)Instructions burned: 327 (million)
% 15.00/3.46 % (1695436)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=181522860:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 15.00/3.46 % (1695437)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2508800501:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 15.00/3.46 % (1695437)Refutation not found, incomplete strategy
% 15.00/3.46 % (1695437)------------------------------
% 15.00/3.46 % (1695437)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.00/3.46 % (1695437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.00/3.46 % (1695437)CaDiCaL version: 2.1.3
% 15.00/3.46 % (1695437)Termination reason: Refutation not found, incomplete strategy
% 15.00/3.46 % (1695437)Time elapsed: 0.003 s
% 15.00/3.46 % (1695437)Peak memory usage: 88 MB
% 15.00/3.46 % (1695437)Instructions burned: 2 (million)
% 15.00/3.46 % (1695439)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3831926533:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 15.00/3.46 % (1695439)Refutation not found, incomplete strategy
% 15.00/3.46 % (1695439)------------------------------
% 15.00/3.46 % (1695439)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.00/3.46 % (1695439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.00/3.46 % (1695439)CaDiCaL version: 2.1.3
% 15.00/3.46 % (1695439)Termination reason: Refutation not found, incomplete strategy
% 15.00/3.46 % (1695439)Time elapsed: 0.002 s
% 15.00/3.46 % (1695439)Peak memory usage: 88 MB
% 15.00/3.46 % (1695439)Instructions burned: 2 (million)
% 15.00/3.46 % (1695438)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1883412539:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 15.00/3.46 % (1695436)Instruction limit reached!
% 15.00/3.46 % (1695436)------------------------------
% 15.00/3.46 % (1695436)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.00/3.46 % (1695436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.00/3.46 % (1695436)CaDiCaL version: 2.1.3
% 15.00/3.46 % (1695436)Termination reason: Instruction limit
% 15.00/3.46 % (1695436)Termination phase: Saturation
% 15.00/3.46 % (1695436)Time elapsed: 0.263 s
% 15.00/3.46 % (1695436)Peak memory usage: 92 MB
% 15.00/3.46 % (1695436)Instructions burned: 248 (million)
% 15.00/3.46 % (1695439)------------------------------
% 15.00/3.46 % (1695439)------------------------------
% 15.00/3.46 % (1695418)Refutation not found, incomplete strategy
% 15.00/3.46 % (1695418)------------------------------
% 15.00/3.46 % (1695418)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.00/3.46 % (1695418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.00/3.46 % (1695418)CaDiCaL version: 2.1.3
% 15.00/3.46 % (1695418)Termination reason: Refutation not found, incomplete strategy
% 15.00/3.46 % (1695418)Time elapsed: 0.998 s
% 15.00/3.46 % (1695418)Peak memory usage: 128 MB
% 15.00/3.46 % (1695418)Instructions burned: 897 (million)
% 15.00/3.46 % (1695437)------------------------------
% 15.00/3.46 % (1695437)------------------------------
% 15.00/3.46 % (1695445)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4001743152:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2987 on theBenchmark for (2987ds/114Mi)
% 15.00/3.46 % (1695444)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3216146663:i=127:av=off:fsr=off:sup=off_2988 on theBenchmark for (2988ds/127Mi)
% 15.00/3.46 % (1695444)Refutation not found, incomplete strategy
% 15.00/3.46 % (1695444)------------------------------
% 15.00/3.46 % (1695444)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.00/3.46 % (1695444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.00/3.46 % (1695444)CaDiCaL version: 2.1.3
% 15.00/3.46 % (1695444)Termination reason: Refutation not found, incomplete strategy
% 15.00/3.46 % (1695444)Time elapsed: 0.002 s
% 15.00/3.46 % (1695444)Peak memory usage: 87 MB
% 15.00/3.46 % (1695444)Instructions burned: 1 (million)
% 15.00/3.46 % (1695445)Instruction limit reached!
% 15.00/3.46 % (1695445)------------------------------
% 15.00/3.46 % (1695445)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.00/3.46 % (1695445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.00/3.46 % (1695445)CaDiCaL version: 2.1.3
% 15.00/3.46 % (1695445)Termination reason: Instruction limit
% 15.00/3.46 % (1695445)Termination phase: Saturation
% 15.00/3.46 % (1695445)Time elapsed: 0.059 s
% 15.00/3.46 % (1695445)Peak memory usage: 89 MB
% 15.00/3.46 % (1695445)Instructions burned: 117 (million)
% 15.00/3.46 % (1695449)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=11254374:i=437:sd=1:aac=none:ss=included_2985 on theBenchmark for (2985ds/437Mi)
% 15.00/3.46 % (1695449)Refutation not found, incomplete strategy
% 15.00/3.46 % (1695449)------------------------------
% 15.00/3.46 % (1695449)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.00/3.46 % (1695449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.00/3.46 % (1695449)CaDiCaL version: 2.1.3
% 15.00/3.46 % (1695449)Termination reason: Refutation not found, incomplete strategy
% 15.00/3.46 % (1695449)Time elapsed: 0.001 s
% 15.00/3.46 % (1695449)Peak memory usage: 88 MB
% 15.00/3.46 % (1695449)Instructions burned: 1 (million)
% 15.00/3.46 % (1695447)lrs+10_1_sil=8000:sp=occurrence:random_seed=2769655815:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2986 on theBenchmark for (2986ds/907Mi)
% 15.00/3.46 % (1695418)------------------------------
% 15.00/3.46 % (1695418)------------------------------
% 15.00/3.46 % (1695416)First to succeed.
% 15.00/3.46 % (1695416)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1695411"
% 15.00/3.46 % (1695444)------------------------------
% 15.00/3.46 % (1695444)------------------------------
% 15.00/3.46 % (1695449)------------------------------
% 15.00/3.46 % (1695449)------------------------------
% 15.00/3.46 % (1695452)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3518586374:i=5202:ss=axioms:sgt=16_2983 on theBenchmark for (2983ds/5202Mi)
% 15.00/3.46 % (1695454)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1405992557:st=8:i=592:sd=3:ep=RST:ss=axioms_2981 on theBenchmark for (2981ds/592Mi)
% 15.00/3.46 % (1695453)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3262886346:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2982 on theBenchmark for (2982ds/134Mi)
% 15.00/3.46 % (1695453)Refutation not found, incomplete strategy
% 15.00/3.46 % (1695453)------------------------------
% 15.00/3.46 % (1695453)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.00/3.46 % (1695453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.00/3.46 % (1695453)CaDiCaL version: 2.1.3
% 15.00/3.46 % (1695453)Termination reason: Refutation not found, incomplete strategy
% 15.00/3.46 % (1695453)Time elapsed: 0.003 s
% 15.00/3.46 % (1695453)Peak memory usage: 89 MB
% 15.00/3.46 % (1695453)Instructions burned: 2 (million)
% 15.00/3.46 % (1695416)Refutation found. Thanks to Tanya!
% 15.00/3.46 % SZS status Theorem for theBenchmark
% 15.00/3.46 % SZS output start Proof for theBenchmark
% See solution above
% 16.25/3.81 % (1695416)------------------------------
% 16.25/3.81 % (1695416)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.25/3.81 % (1695416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.25/3.81 % (1695416)CaDiCaL version: 2.1.3
% 16.25/3.81 % (1695416)Termination reason: Refutation
% 16.25/3.81 % (1695416)Time elapsed: 1.465 s
% 16.25/3.81 % (1695416)Peak memory usage: 131 MB
% 16.25/3.81 % (1695416)Instructions burned: 1326 (million)
% 16.25/3.81 % (1695416)------------------------------
% 16.25/3.81 % (1695416)------------------------------
% 16.25/3.81 % (1695411)Success in time 2.137 s
% 16.25/3.81 % Vampire exiting
%------------------------------------------------------------------------------