%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL008-4 : 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 : n019.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 : Unsatisfiable 8.70s 2.09s
% Output : Refutation 9.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 20
% Syntax : Number of formulae : 112 ( 102 unt; 10 def)
% Number of atoms : 122 ( 106 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 22 ( 12 ~; 8 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 12 con; 0-2 aty)
% Number of variables : 120 ( 0 sgn 120 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux1_join_commutativity_1) ).
fof(f2,axiom,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux2_join_associativity_2) ).
fof(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan_3) ).
fof(f4,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(reorient_equations,[],[f3]) ).
fof(f8,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_identity_6) ).
fof(f9,axiom,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_distributivity_7) ).
fof(f10,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence_8) ).
fof(f11,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity_9) ).
fof(f12,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_multiplicativity_10) ).
fof(f13,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_cancellativity_11) ).
fof(f14,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(reorient_equations,[],[f13]) ).
fof(f23,negated_conjecture,
( join(join(composition(sk1,sk2),composition(sk1,sk3)),composition(sk1,join(sk2,sk3))) != composition(sk1,join(sk2,sk3))
| join(join(composition(sk1,join(sk2,sk3)),composition(sk1,sk2)),composition(sk1,sk3)) != join(composition(sk1,sk2),composition(sk1,sk3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_17) ).
fof(f24,plain,
( composition(sk1,join(sk2,sk3)) != join(join(composition(sk1,sk2),composition(sk1,sk3)),composition(sk1,join(sk2,sk3)))
| join(composition(sk1,sk2),composition(sk1,sk3)) != join(join(composition(sk1,join(sk2,sk3)),composition(sk1,sk2)),composition(sk1,sk3)) ),
inference(reorient_equations,[],[f23]) ).
fof(f29,definition,
sF0 = join(sk2,sk3),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f30,plain,
join(sk2,sk3) = sF0,
inference(reorient_equations,[],[f29]) ).
fof(f31,definition,
sF1 = composition(sk1,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f32,plain,
composition(sk1,sF0) = sF1,
inference(reorient_equations,[],[f31]) ).
fof(f33,definition,
sF2 = composition(sk1,sk2),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f34,plain,
composition(sk1,sk2) = sF2,
inference(reorient_equations,[],[f33]) ).
fof(f35,definition,
sF3 = composition(sk1,sk3),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f36,plain,
composition(sk1,sk3) = sF3,
inference(reorient_equations,[],[f35]) ).
fof(f37,definition,
sF4 = join(sF2,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f38,plain,
join(sF2,sF3) = sF4,
inference(reorient_equations,[],[f37]) ).
fof(f39,definition,
sF5 = join(sF4,sF1),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f40,plain,
join(sF4,sF1) = sF5,
inference(reorient_equations,[],[f39]) ).
fof(f41,definition,
sF6 = join(sF1,sF2),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f42,plain,
join(sF1,sF2) = sF6,
inference(reorient_equations,[],[f41]) ).
fof(f43,definition,
sF7 = join(sF6,sF3),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f44,plain,
join(sF6,sF3) = sF7,
inference(reorient_equations,[],[f43]) ).
fof(f45,plain,
( sF1 != sF5
| sF4 != sF7 ),
inference(definition_folding,[],[f24,f44,f36,f42,f34,f32,f30,f38,f36,f34,f40,f32,f30,f38,f36,f34,f32,f30]) ).
fof(f47,definition,
( spl8_1
<=> sF4 = sF7 ),
introduced(definition,[new_symbols(definition,[spl8_1])],[avatar_definition]) ).
fof(f49,plain,
( sF4 != sF7
| spl8_1 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f51,definition,
( spl8_2
<=> sF1 = sF5 ),
introduced(definition,[new_symbols(definition,[spl8_2])],[avatar_definition]) ).
fof(f54,plain,
( ~ spl8_1
| ~ spl8_2 ),
inference(avatar_split_clause,[],[f45,f51,f47]) ).
fof(f56,plain,
sF6 = join(sF2,sF1),
inference(forward_demodulation,[],[f42,f1]) ).
fof(f71,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f12,f10]) ).
fof(f73,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f9,f12]) ).
fof(f75,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X0),complement(join(complement(join(complement(X0),complement(X1))),join(complement(X0),X1)))),
inference(superposition,[],[f4,f4]) ).
fof(f85,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(superposition,[],[f1,f4]) ).
fof(f92,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X0),complement(join(join(complement(X0),X1),complement(join(complement(X0),complement(X1)))))),
inference(forward_demodulation,[],[f75,f1]) ).
fof(f94,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X0),complement(join(complement(X0),join(X1,complement(join(complement(X0),complement(X1))))))),
inference(forward_demodulation,[],[f92,f2]) ).
fof(f99,plain,
! [X0,X1] : complement(X1) = join(composition(X0,complement(composition(converse(X0),X1))),complement(X1)),
inference(superposition,[],[f14,f10]) ).
fof(f112,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(X0,complement(composition(converse(X0),X1)))),
inference(forward_demodulation,[],[f99,f1]) ).
fof(f127,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),complement(X1))),join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f2,f4]) ).
fof(f139,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f1,f2]) ).
fof(f141,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(X2,complement(join(complement(X0),complement(X1))))),
inference(forward_demodulation,[],[f127,f139]) ).
fof(f150,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f73,f12]) ).
fof(f156,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f150,f11]) ).
fof(f159,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f156,f11]) ).
fof(f161,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f159,f12]) ).
fof(f176,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f10,f161]) ).
fof(f188,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f176,f10]) ).
fof(f211,plain,
! [X0] : composition(sk1,join(X0,sk2)) = join(composition(sk1,X0),sF2),
inference(superposition,[],[f188,f34]) ).
fof(f223,plain,
! [X0] : join(sF2,composition(sk1,X0)) = composition(sk1,join(X0,sk2)),
inference(forward_demodulation,[],[f211,f1]) ).
fof(f227,plain,
join(sF2,sF3) = composition(sk1,join(sk3,sk2)),
inference(superposition,[],[f223,f36]) ).
fof(f231,plain,
composition(sk1,join(sk2,sk3)) = join(sF2,sF3),
inference(forward_demodulation,[],[f227,f1]) ).
fof(f233,plain,
composition(sk1,join(sk2,sk3)) = sF4,
inference(forward_demodulation,[],[f231,f38]) ).
fof(f235,plain,
composition(sk1,sF0) = sF4,
inference(forward_demodulation,[],[f233,f30]) ).
fof(f236,plain,
sF1 = sF4,
inference(backward_demodulation,[],[f32,f235]) ).
fof(f237,plain,
sF5 = join(sF4,sF4),
inference(backward_demodulation,[],[f40,f236]) ).
fof(f238,plain,
sF6 = join(sF2,sF4),
inference(backward_demodulation,[],[f56,f236]) ).
fof(f290,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(complement(X1))))) = join(complement(join(complement(X0),X1)),X0),
inference(superposition,[],[f141,f4]) ).
fof(f297,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(complement(X1))))) = join(X0,complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f290,f1]) ).
fof(f511,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f71,f8]) ).
fof(f529,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f511,f10]) ).
fof(f547,plain,
! [X0] : complement(X0) = join(complement(X0),composition(one,complement(X0))),
inference(superposition,[],[f112,f529]) ).
fof(f556,plain,
one = converse(one),
inference(superposition,[],[f8,f529]) ).
fof(f559,plain,
! [X0] : composition(one,X0) = X0,
inference(backward_demodulation,[],[f529,f556]) ).
fof(f571,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(backward_demodulation,[],[f547,f559]) ).
fof(f638,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,[],[f141,f571]) ).
fof(f642,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f638,f85]) ).
fof(f647,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(backward_demodulation,[],[f297,f642]) ).
fof(f662,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(join(complement(X0),X2),complement(join(X0,X1))),
inference(superposition,[],[f647,f141]) ).
fof(f666,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f647,f1]) ).
fof(f672,plain,
! [X0,X1] : join(X0,X0) = join(complement(join(complement(X0),X1)),X0),
inference(superposition,[],[f141,f647]) ).
fof(f679,plain,
! [X2,X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(X1,complement(join(complement(X0),complement(complement(join(complement(complement(X0)),X2))))))),
inference(superposition,[],[f141,f647]) ).
fof(f685,plain,
! [X0,X1] : join(X0,X0) = join(X0,complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f672,f1]) ).
fof(f690,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X0),complement(join(complement(X0),X1))),
inference(backward_demodulation,[],[f94,f666]) ).
fof(f691,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(complement(X0),join(X2,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f662,f2]) ).
fof(f694,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[],[f685,f647]) ).
fof(f696,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),X1),
inference(backward_demodulation,[],[f679,f691]) ).
fof(f705,plain,
sF4 = sF5,
inference(backward_demodulation,[],[f237,f694]) ).
fof(f712,plain,
join(sF2,sF3) = sF5,
inference(backward_demodulation,[],[f38,f705]) ).
fof(f713,plain,
( sF5 != sF7
| spl8_1 ),
inference(backward_demodulation,[],[f49,f705]) ).
fof(f716,plain,
sF1 = sF5,
inference(backward_demodulation,[],[f236,f705]) ).
fof(f717,plain,
sF6 = join(sF2,sF5),
inference(backward_demodulation,[],[f238,f705]) ).
fof(f754,plain,
sF6 = join(sF5,sF2),
inference(forward_demodulation,[],[f717,f1]) ).
fof(f755,plain,
spl8_2,
inference(avatar_split_clause,[],[f716,f51]) ).
fof(f784,plain,
! [X0,X1] : complement(complement(X0)) = join(X0,complement(join(complement(complement(complement(X0))),X1))),
inference(superposition,[],[f647,f696]) ).
fof(f791,plain,
! [X0,X1] : complement(complement(X0)) = join(X0,complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f784,f696]) ).
fof(f805,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f791,f647]) ).
fof(f999,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,X1))),
inference(superposition,[],[f690,f805]) ).
fof(f1010,plain,
! [X0,X1] : join(X0,complement(complement(join(X0,X1)))) = join(X0,complement(join(X0,complement(X1)))),
inference(superposition,[],[f999,f999]) ).
fof(f1050,plain,
! [X0,X1] : join(X0,complement(complement(X1))) = join(X0,complement(complement(join(X0,X1)))),
inference(forward_demodulation,[],[f1010,f999]) ).
fof(f1059,plain,
! [X0,X1] : join(X0,complement(complement(X1))) = join(X0,join(X0,X1)),
inference(forward_demodulation,[],[f1050,f805]) ).
fof(f1067,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(forward_demodulation,[],[f1059,f805]) ).
fof(f1098,plain,
! [X0] : join(sF6,X0) = join(sF5,join(sF2,X0)),
inference(superposition,[],[f2,f754]) ).
fof(f1369,plain,
sF5 = join(sF2,sF5),
inference(superposition,[],[f1067,f712]) ).
fof(f1398,plain,
sF5 = join(sF5,sF2),
inference(forward_demodulation,[],[f1369,f1]) ).
fof(f1412,plain,
sF5 = sF6,
inference(backward_demodulation,[],[f754,f1398]) ).
fof(f1417,plain,
sF7 = join(sF5,sF3),
inference(backward_demodulation,[],[f44,f1412]) ).
fof(f1425,plain,
! [X0] : join(sF5,X0) = join(sF5,join(sF2,X0)),
inference(backward_demodulation,[],[f1098,f1412]) ).
fof(f1442,plain,
join(sF5,sF3) = join(sF5,sF5),
inference(superposition,[],[f1425,f712]) ).
fof(f1471,plain,
sF5 = join(sF5,sF3),
inference(forward_demodulation,[],[f1442,f694]) ).
fof(f1479,plain,
sF5 = sF7,
inference(backward_demodulation,[],[f1417,f1471]) ).
fof(f1483,plain,
( $false
| spl8_1 ),
inference(forward_subsumption_resolution,[],[f1479,f713]) ).
fof(f1484,plain,
spl8_1,
inference(avatar_contradiction_clause,[],[f1483]) ).
cnf(s1,plain,
( ~ spl8_1
| ~ spl8_2 ),
inference(sat_conversion,[],[f54]) ).
cnf(s2,plain,
spl8_2,
inference(sat_conversion,[],[f755]) ).
cnf(s3,plain,
spl8_1,
inference(sat_conversion,[],[f1484]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f1487,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL008-4 : 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 : n019.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 22:50:34 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 8.70/2.09 % (3490330)Input is clausal, will run a generic CNF schedule.
% 8.70/2.09 % (3490340)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2198469753:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 8.70/2.09 % (3490336)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3705435653:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 8.70/2.09 % (3490338)lrs+10_1_sil=8000:sp=occurrence:random_seed=2000435045:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 8.70/2.09 % (3490335)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=2151931730:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 8.70/2.09 % (3490337)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=472559991:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 8.70/2.09 % (3490339)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3181328486:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 8.70/2.09 % (3490341)dis-21_1_sil=8000:lcm=predicate:random_seed=1637695114:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 8.70/2.09 % (3490341)Refutation not found, incomplete strategy
% 8.70/2.09 % (3490341)------------------------------
% 8.70/2.09 % (3490341)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.70/2.09 % (3490341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/2.09 % (3490341)CaDiCaL version: 2.1.3
% 8.70/2.09 % (3490341)Termination reason: Refutation not found, incomplete strategy
% 8.70/2.09 % (3490341)Time elapsed: 0.002 s
% 8.70/2.09 % (3490341)Peak memory usage: 88 MB
% 8.70/2.09 % (3490341)Instructions burned: 1 (million)
% 8.70/2.09 % (3490340)Instruction limit reached!
% 8.70/2.09 % (3490340)------------------------------
% 8.70/2.09 % (3490340)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.70/2.09 % (3490340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/2.09 % (3490340)CaDiCaL version: 2.1.3
% 8.70/2.09 % (3490340)Termination reason: Instruction limit
% 8.70/2.09 % (3490340)Termination phase: Saturation
% 8.70/2.09 % (3490340)Time elapsed: 0.058 s
% 8.70/2.09 % (3490340)Peak memory usage: 90 MB
% 8.70/2.09 % (3490340)Instructions burned: 182 (million)
% 8.70/2.09 % (3490338)Instruction limit reached!
% 8.70/2.09 % (3490338)------------------------------
% 8.70/2.09 % (3490338)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.70/2.09 % (3490338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/2.09 % (3490338)CaDiCaL version: 2.1.3
% 8.70/2.09 % (3490338)Termination reason: Instruction limit
% 8.70/2.09 % (3490338)Termination phase: Saturation
% 8.70/2.09 % (3490338)Time elapsed: 0.055 s
% 8.70/2.09 % (3490338)Peak memory usage: 88 MB
% 8.70/2.09 % (3490338)Instructions burned: 109 (million)
% 8.70/2.09 % (3490339)Instruction limit reached!
% 8.70/2.09 % (3490339)------------------------------
% 8.70/2.09 % (3490339)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.70/2.09 % (3490339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/2.09 % (3490339)CaDiCaL version: 2.1.3
% 8.70/2.09 % (3490339)Termination reason: Instruction limit
% 8.70/2.09 % (3490339)Termination phase: Saturation
% 8.70/2.09 % (3490339)Time elapsed: 0.072 s
% 8.70/2.09 % (3490339)Peak memory usage: 89 MB
% 8.70/2.09 % (3490339)Instructions burned: 115 (million)
% 8.70/2.09 % (3490349)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2080137613:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 8.70/2.09 % (3490349)Refutation not found, incomplete strategy
% 8.70/2.09 % (3490349)------------------------------
% 8.70/2.09 % (3490349)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.70/2.09 % (3490349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/2.09 % (3490349)CaDiCaL version: 2.1.3
% 8.70/2.09 % (3490349)Termination reason: Refutation not found, incomplete strategy
% 8.70/2.09 % (3490349)Time elapsed: 0.001 s
% 8.70/2.09 % (3490349)Peak memory usage: 88 MB
% 8.70/2.09 % (3490349)Instructions burned: 1 (million)
% 8.70/2.09 % (3490350)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1012439613:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 8.70/2.09 % (3490350)Refutation not found, incomplete strategy
% 8.70/2.09 % (3490350)------------------------------
% 8.70/2.09 % (3490350)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.70/2.09 % (3490350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/2.09 % (3490350)CaDiCaL version: 2.1.3
% 8.70/2.09 % (3490350)Termination reason: Refutation not found, incomplete strategy
% 8.70/2.09 % (3490350)Time elapsed: 0.003 s
% 8.70/2.09 % (3490350)Peak memory usage: 88 MB
% 8.70/2.09 % (3490350)Instructions burned: 2 (million)
% 8.70/2.09 % (3490351)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3418027764:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 8.70/2.09 % (3490351)Refutation not found, incomplete strategy
% 8.70/2.09 % (3490351)------------------------------
% 8.70/2.09 % (3490351)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.70/2.09 % (3490351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/2.09 % (3490351)CaDiCaL version: 2.1.3
% 8.70/2.09 % (3490351)Termination reason: Refutation not found, incomplete strategy
% 8.70/2.09 % (3490351)Time elapsed: 0.002 s
% 8.70/2.09 % (3490351)Peak memory usage: 88 MB
% 8.70/2.09 % (3490351)Instructions burned: 1 (million)
% 8.70/2.09 % (3490341)------------------------------
% 8.70/2.09 % (3490341)------------------------------
% 8.70/2.09 % (3490349)------------------------------
% 8.70/2.09 % (3490349)------------------------------
% 8.70/2.09 % (3490356)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=4243940383:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 8.70/2.09 % (3490355)lrs+10_64_to=lpo:sil=8000:random_seed=4139357825:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 8.70/2.09 % (3490350)------------------------------
% 8.70/2.09 % (3490350)------------------------------
% 8.70/2.09 % (3490351)------------------------------
% 8.70/2.09 % (3490351)------------------------------
% 8.70/2.09 % (3490356)Instruction limit reached!
% 8.70/2.09 % (3490356)------------------------------
% 8.70/2.09 % (3490356)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.70/2.09 % (3490356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/2.09 % (3490356)CaDiCaL version: 2.1.3
% 8.70/2.09 % (3490356)Termination reason: Instruction limit
% 8.70/2.09 % (3490356)Termination phase: Saturation
% 8.70/2.09 % (3490356)Time elapsed: 0.066 s
% 8.70/2.09 % (3490356)Peak memory usage: 90 MB
% 8.70/2.09 % (3490356)Instructions burned: 195 (million)
% 8.70/2.09 % (3490355)Instruction limit reached!
% 8.70/2.09 % (3490355)------------------------------
% 8.70/2.09 % (3490355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.70/2.09 % (3490355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/2.09 % (3490355)CaDiCaL version: 2.1.3
% 8.70/2.09 % (3490355)Termination reason: Instruction limit
% 8.70/2.09 % (3490355)Termination phase: Saturation
% 8.70/2.09 % (3490355)Time elapsed: 0.078 s
% 8.70/2.09 % (3490355)Peak memory usage: 89 MB
% 8.70/2.09 % (3490355)Instructions burned: 126 (million)
% 8.70/2.09 % (3490360)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1873575228:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 8.70/2.09 % (3490359)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3197177056:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 8.70/2.09 % (3490361)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=2425940962:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 8.70/2.09 % (3490362)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3003302868:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 8.70/2.09 % (3490362)Refutation not found, incomplete strategy
% 8.70/2.09 % (3490362)------------------------------
% 8.70/2.09 % (3490362)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.70/2.09 % (3490362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/2.09 % (3490362)CaDiCaL version: 2.1.3
% 8.70/2.09 % (3490362)Termination reason: Refutation not found, incomplete strategy
% 8.70/2.09 % (3490362)Time elapsed: 0.002 s
% 8.70/2.09 % (3490362)Peak memory usage: 88 MB
% 8.70/2.09 % (3490362)Instructions burned: 1 (million)
% 8.70/2.09 % (3490359)Instruction limit reached!
% 8.70/2.09 % (3490359)------------------------------
% 8.70/2.09 % (3490359)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.70/2.09 % (3490359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/2.09 % (3490359)CaDiCaL version: 2.1.3
% 8.70/2.09 % (3490359)Termination reason: Instruction limit
% 8.70/2.09 % (3490359)Termination phase: Saturation
% 8.70/2.09 % (3490359)Time elapsed: 0.098 s
% 8.70/2.09 % (3490359)Peak memory usage: 91 MB
% 8.70/2.09 % (3490359)Instructions burned: 158 (million)
% 8.70/2.09 % (3490361)Instruction limit reached!
% 8.70/2.09 % (3490361)------------------------------
% 8.70/2.09 % (3490361)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.70/2.09 % (3490361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/2.09 % (3490361)CaDiCaL version: 2.1.3
% 8.70/2.09 % (3490361)Termination reason: Instruction limit
% 8.70/2.09 % (3490361)Termination phase: Saturation
% 8.70/2.09 % (3490361)Time elapsed: 0.064 s
% 8.70/2.09 % (3490361)Peak memory usage: 89 MB
% 8.70/2.09 % (3490361)Instructions burned: 106 (million)
% 8.70/2.09 % (3490337)First to succeed.
% 8.70/2.09 % (3490337)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3490330"
% 8.70/2.09 % (3490336)Also succeeded, but the first one will report.
% 8.70/2.09 % (3490367)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3265110194:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 8.70/2.09 % (3490368)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=521876406:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 8.70/2.09 % (3490362)------------------------------
% 8.70/2.09 % (3490362)------------------------------
% 8.70/2.09 % (3490367)Instruction limit reached!
% 8.70/2.09 % (3490367)------------------------------
% 8.70/2.09 % (3490367)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.70/2.09 % (3490367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/2.09 % (3490367)CaDiCaL version: 2.1.3
% 8.70/2.09 % (3490367)Termination reason: Instruction limit
% 8.70/2.09 % (3490367)Termination phase: Saturation
% 8.70/2.09 % (3490367)Time elapsed: 0.128 s
% 8.70/2.09 % (3490367)Peak memory usage: 89 MB
% 8.70/2.09 % (3490367)Instructions burned: 243 (million)
% 8.70/2.09 % (3490335)Also succeeded, but the first one will report.
% 8.70/2.09 % (3490337)Refutation found. Thanks to Tanya!
% 8.70/2.09 % SZS status Unsatisfiable for theBenchmark
% 8.70/2.09 % SZS output start Proof for theBenchmark
% See solution above
% 9.26/2.28 % (3490337)------------------------------
% 9.26/2.28 % (3490337)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.26/2.28 % (3490337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.26/2.28 % (3490337)CaDiCaL version: 2.1.3
% 9.26/2.28 % (3490337)Termination reason: Refutation
% 9.26/2.28 % (3490337)Time elapsed: 0.794 s
% 9.26/2.28 % (3490337)Peak memory usage: 130 MB
% 9.26/2.28 % (3490337)Instructions burned: 1193 (million)
% 9.26/2.28 % (3490337)------------------------------
% 9.26/2.28 % (3490337)------------------------------
% 9.26/2.28 % (3490330)Success in time 1.229 s
% 9.26/2.28 % Vampire exiting
%------------------------------------------------------------------------------