%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL027-4 : 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 : n002.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 12:33:53 PM UTC 2026
% Result : Unsatisfiable 14.61s 3.30s
% Output : Refutation 17.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 29
% Syntax : Number of formulae : 187 ( 171 unt; 15 def)
% Number of atoms : 204 ( 181 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 37 ( 20 ~; 15 |; 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 : 21 ( 21 usr; 16 con; 0-2 aty)
% Number of variables : 168 ( 0 sgn 168 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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(f5,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux4_definiton_of_meet_4) ).
fof(f6,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(reorient_equations,[],[f5]) ).
fof(f7,axiom,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_associativity_5) ).
fof(f8,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',composition_distributivity_7) ).
fof(f10,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_idempotence_8) ).
fof(f11,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_additivity_9) ).
fof(f12,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/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/sandbox/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(f15,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_top_12) ).
fof(f23,negated_conjecture,
join(sk1,one) = one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_17) ).
fof(f24,plain,
one = join(sk1,one),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( join(meet(complement(sk1),one),meet(complement(composition(sk1,top)),one)) != meet(complement(composition(sk1,top)),one)
| join(meet(complement(composition(sk1,top)),one),meet(complement(sk1),one)) != meet(complement(sk1),one) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_18) ).
fof(f26,plain,
( meet(complement(composition(sk1,top)),one) != join(meet(complement(sk1),one),meet(complement(composition(sk1,top)),one))
| meet(complement(sk1),one) != join(meet(complement(composition(sk1,top)),one),meet(complement(sk1),one)) ),
inference(reorient_equations,[],[f25]) ).
fof(f31,plain,
( complement(join(complement(complement(composition(sk1,top))),complement(one))) != join(complement(join(complement(complement(sk1)),complement(one))),complement(join(complement(complement(composition(sk1,top))),complement(one))))
| complement(join(complement(complement(sk1)),complement(one))) != join(complement(join(complement(complement(composition(sk1,top))),complement(one))),complement(join(complement(complement(sk1)),complement(one)))) ),
inference(definition_unfolding,[],[f26,f6,f6,f6,f6,f6,f6]) ).
fof(f32,definition,
sF0 = join(sk1,one),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f33,plain,
join(sk1,one) = sF0,
inference(reorient_equations,[],[f32]) ).
fof(f34,plain,
one = sF0,
inference(definition_folding,[],[f24,f33]) ).
fof(f35,definition,
sF1 = composition(sk1,top),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f36,plain,
composition(sk1,top) = sF1,
inference(reorient_equations,[],[f35]) ).
fof(f37,definition,
sF2 = complement(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f38,plain,
complement(sF1) = sF2,
inference(reorient_equations,[],[f37]) ).
fof(f39,definition,
sF3 = complement(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f40,plain,
complement(sF2) = sF3,
inference(reorient_equations,[],[f39]) ).
fof(f41,definition,
sF4 = complement(one),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f42,plain,
complement(one) = sF4,
inference(reorient_equations,[],[f41]) ).
fof(f43,definition,
sF5 = join(sF3,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f44,plain,
join(sF3,sF4) = sF5,
inference(reorient_equations,[],[f43]) ).
fof(f45,definition,
sF6 = complement(sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f46,plain,
complement(sF5) = sF6,
inference(reorient_equations,[],[f45]) ).
fof(f47,definition,
sF7 = complement(sk1),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f48,plain,
complement(sk1) = sF7,
inference(reorient_equations,[],[f47]) ).
fof(f49,definition,
sF8 = complement(sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f50,plain,
complement(sF7) = sF8,
inference(reorient_equations,[],[f49]) ).
fof(f51,definition,
sF9 = join(sF8,sF4),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f52,plain,
join(sF8,sF4) = sF9,
inference(reorient_equations,[],[f51]) ).
fof(f53,definition,
sF10 = complement(sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f54,plain,
complement(sF9) = sF10,
inference(reorient_equations,[],[f53]) ).
fof(f55,definition,
sF11 = join(sF10,sF6),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f56,plain,
join(sF10,sF6) = sF11,
inference(reorient_equations,[],[f55]) ).
fof(f57,definition,
sF12 = join(sF6,sF10),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f58,plain,
join(sF6,sF10) = sF12,
inference(reorient_equations,[],[f57]) ).
fof(f59,plain,
( sF6 != sF11
| sF10 != sF12 ),
inference(definition_folding,[],[f31,f58,f54,f52,f42,f50,f48,f46,f44,f42,f40,f38,f36,f54,f52,f42,f50,f48,f56,f46,f44,f42,f40,f38,f36,f54,f52,f42,f50,f48,f46,f44,f42,f40,f38,f36]) ).
fof(f61,definition,
( spl13_1
<=> sF10 = sF12 ),
introduced(definition,[new_symbols(definition,[spl13_1])],[avatar_definition]) ).
fof(f63,plain,
( sF10 != sF12
| spl13_1 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f65,definition,
( spl13_2
<=> sF6 = sF11 ),
introduced(definition,[new_symbols(definition,[spl13_2])],[avatar_definition]) ).
fof(f66,plain,
( sF6 = sF11
| ~ spl13_2 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f68,plain,
( ~ spl13_1
| ~ spl13_2 ),
inference(avatar_split_clause,[],[f59,f65,f61]) ).
fof(f70,plain,
one = join(sk1,one),
inference(forward_demodulation,[],[f33,f34]) ).
fof(f71,plain,
sF5 = join(sF3,complement(one)),
inference(forward_demodulation,[],[f44,f42]) ).
fof(f72,plain,
complement(complement(sk1)) = sF8,
inference(forward_demodulation,[],[f50,f48]) ).
fof(f73,plain,
sF9 = join(sF8,complement(one)),
inference(forward_demodulation,[],[f52,f42]) ).
fof(f74,plain,
sF11 = join(sF6,sF10),
inference(forward_demodulation,[],[f56,f1]) ).
fof(f75,plain,
sF9 = join(complement(one),sF8),
inference(forward_demodulation,[],[f73,f1]) ).
fof(f76,plain,
sF11 = sF12,
inference(backward_demodulation,[],[f58,f74]) ).
fof(f77,plain,
( sF10 != sF11
| spl13_1 ),
inference(forward_demodulation,[],[f63,f76]) ).
fof(f78,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(f81,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,[],[f78,f1]) ).
fof(f82,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,[],[f81,f2]) ).
fof(f83,plain,
! [X0] : sF5 = join(complement(join(sF6,complement(X0))),complement(join(sF6,X0))),
inference(superposition,[],[f4,f46]) ).
fof(f86,plain,
! [X0] : sF5 = join(complement(join(sF6,X0)),complement(join(sF6,complement(X0)))),
inference(forward_demodulation,[],[f83,f1]) ).
fof(f91,plain,
! [X0,X1] : complement(X1) = join(composition(X0,complement(composition(converse(X0),X1))),complement(X1)),
inference(superposition,[],[f14,f10]) ).
fof(f98,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(X0,complement(composition(converse(X0),X1)))),
inference(forward_demodulation,[],[f91,f1]) ).
fof(f111,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f4,f1]) ).
fof(f113,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(superposition,[],[f4,f1]) ).
fof(f116,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(forward_demodulation,[],[f111,f1]) ).
fof(f126,plain,
! [X0] : sF1 = join(complement(join(sF2,complement(X0))),complement(join(sF2,X0))),
inference(superposition,[],[f4,f38]) ).
fof(f129,plain,
! [X0] : sF1 = join(complement(join(sF2,X0)),complement(join(sF2,complement(X0)))),
inference(forward_demodulation,[],[f126,f1]) ).
fof(f163,plain,
! [X0,X1] : composition(converse(X1),X0) = converse(composition(converse(X0),X1)),
inference(superposition,[],[f12,f10]) ).
fof(f169,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(f183,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(f193,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f1,f2]) ).
fof(f196,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(X2,complement(join(complement(X0),complement(X1))))),
inference(forward_demodulation,[],[f183,f193]) ).
fof(f262,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f163,f8]) ).
fof(f274,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f262,f10]) ).
fof(f288,plain,
one = converse(one),
inference(superposition,[],[f8,f274]) ).
fof(f290,plain,
! [X0,X1] : composition(join(converse(one),X1),X0) = join(X0,composition(X1,X0)),
inference(superposition,[],[f9,f274]) ).
fof(f292,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(converse(converse(one)),X0))),
inference(superposition,[],[f98,f274]) ).
fof(f293,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(one,X0))),
inference(forward_demodulation,[],[f292,f10]) ).
fof(f296,plain,
! [X0,X1] : join(X0,composition(X1,X0)) = composition(join(one,X1),X0),
inference(backward_demodulation,[],[f290,f288]) ).
fof(f297,plain,
! [X0] : composition(one,X0) = X0,
inference(backward_demodulation,[],[f274,f288]) ).
fof(f302,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(backward_demodulation,[],[f293,f297]) ).
fof(f575,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),X0) = join(X0,complement(join(complement(X0),complement(complement(X1))))),
inference(superposition,[],[f196,f4]) ).
fof(f576,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,[],[f196,f302]) ).
fof(f592,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f576,f113]) ).
fof(f593,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = join(X0,complement(join(complement(X0),complement(complement(X1))))),
inference(forward_demodulation,[],[f575,f1]) ).
fof(f610,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f593,f592]) ).
fof(f640,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(join(complement(X0),X2),complement(join(X0,X1))),
inference(superposition,[],[f610,f196]) ).
fof(f647,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f610,f1]) ).
fof(f662,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,[],[f196,f610]) ).
fof(f676,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X0),complement(join(complement(X0),X1))),
inference(backward_demodulation,[],[f82,f647]) ).
fof(f680,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(complement(X0),join(X2,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f640,f2]) ).
fof(f688,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),X1),
inference(backward_demodulation,[],[f662,f680]) ).
fof(f723,plain,
! [X0] : join(complement(sF2),X0) = join(sF1,X0),
inference(superposition,[],[f688,f38]) ).
fof(f739,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(superposition,[],[f610,f688]) ).
fof(f741,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(complement(X0)),complement(X1)))),
inference(superposition,[],[f113,f688]) ).
fof(f753,plain,
! [X0,X1] : complement(complement(X0)) = join(X0,complement(join(complement(complement(complement(X0))),X1))),
inference(superposition,[],[f610,f688]) ).
fof(f755,plain,
! [X0,X1] : complement(complement(X0)) = join(X0,complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f753,f688]) ).
fof(f764,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(X0,complement(X1)))),
inference(forward_demodulation,[],[f741,f688]) ).
fof(f781,plain,
! [X0] : join(sF3,X0) = join(sF1,X0),
inference(forward_demodulation,[],[f723,f40]) ).
fof(f783,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f755,f610]) ).
fof(f787,plain,
sF1 = complement(sF2),
inference(backward_demodulation,[],[f129,f764]) ).
fof(f789,plain,
sF5 = complement(sF6),
inference(backward_demodulation,[],[f86,f764]) ).
fof(f812,plain,
sF5 = join(sF1,complement(one)),
inference(backward_demodulation,[],[f71,f781]) ).
fof(f817,plain,
sk1 = sF8,
inference(backward_demodulation,[],[f72,f783]) ).
fof(f827,plain,
sF9 = join(complement(one),sk1),
inference(backward_demodulation,[],[f75,f817]) ).
fof(f847,plain,
sF9 = join(sk1,complement(one)),
inference(forward_demodulation,[],[f827,f1]) ).
fof(f936,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,X1))),
inference(superposition,[],[f676,f783]) ).
fof(f1144,plain,
! [X0,X1] : complement(X1) = join(complement(X1),complement(join(X0,X1))),
inference(superposition,[],[f739,f1]) ).
fof(f1560,plain,
! [X0] : join(complement(join(complement(X0),sF2)),complement(join(sF1,complement(X0)))) = X0,
inference(superposition,[],[f116,f787]) ).
fof(f1625,plain,
! [X0] : join(complement(join(sF1,complement(X0))),complement(join(complement(X0),sF2))) = X0,
inference(forward_demodulation,[],[f1560,f1]) ).
fof(f1878,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f169,f12]) ).
fof(f1895,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f1878,f11]) ).
fof(f1906,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f1895,f11]) ).
fof(f1912,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f1906,f12]) ).
fof(f1936,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f10,f1912]) ).
fof(f1951,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f1936,f10]) ).
fof(f1983,plain,
! [X0,X1] : join(X0,composition(X0,X1)) = composition(X0,join(one,X1)),
inference(superposition,[],[f1951,f8]) ).
fof(f1989,plain,
! [X0,X1] : join(composition(X0,X1),X0) = composition(X0,join(X1,one)),
inference(superposition,[],[f1951,f8]) ).
fof(f2023,plain,
! [X0,X1] : join(X0,composition(X0,X1)) = composition(X0,join(X1,one)),
inference(forward_demodulation,[],[f1989,f1]) ).
fof(f2056,plain,
! [X0] : composition(X0,one) = join(X0,composition(X0,sk1)),
inference(superposition,[],[f2023,f70]) ).
fof(f2095,plain,
! [X0] : join(X0,composition(X0,sk1)) = X0,
inference(forward_demodulation,[],[f2056,f8]) ).
fof(f2145,plain,
! [X0] : composition(one,X0) = join(X0,composition(composition(one,sk1),X0)),
inference(superposition,[],[f296,f2095]) ).
fof(f2147,plain,
! [X0] : composition(one,X0) = join(X0,composition(one,composition(sk1,X0))),
inference(forward_demodulation,[],[f2145,f7]) ).
fof(f2160,plain,
! [X0] : composition(one,X0) = join(X0,composition(sk1,X0)),
inference(forward_demodulation,[],[f2147,f297]) ).
fof(f2165,plain,
! [X0] : join(X0,composition(sk1,X0)) = X0,
inference(forward_demodulation,[],[f2160,f297]) ).
fof(f2189,plain,
! [X0] : composition(X0,top) = join(X0,composition(X0,complement(one))),
inference(superposition,[],[f1983,f15]) ).
fof(f4746,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(composition(sk1,X0),X1)),
inference(superposition,[],[f2,f2165]) ).
fof(f4753,plain,
! [X0] : complement(composition(sk1,X0)) = join(complement(composition(sk1,X0)),complement(X0)),
inference(superposition,[],[f1144,f2165]) ).
fof(f4780,plain,
! [X0] : complement(composition(sk1,X0)) = join(complement(X0),complement(composition(sk1,X0))),
inference(forward_demodulation,[],[f4753,f1]) ).
fof(f4811,plain,
! [X0,X1] : join(X0,composition(sk1,X1)) = join(X0,composition(sk1,join(X0,X1))),
inference(superposition,[],[f4746,f1951]) ).
fof(f4978,plain,
! [X0] : join(X0,composition(sk1,complement(X0))) = join(X0,composition(sk1,top)),
inference(superposition,[],[f4811,f15]) ).
fof(f5017,plain,
join(sk1,composition(sk1,complement(one))) = join(sk1,composition(sk1,sF9)),
inference(superposition,[],[f4811,f847]) ).
fof(f5086,plain,
composition(sk1,top) = join(sk1,composition(sk1,sF9)),
inference(forward_demodulation,[],[f5017,f2189]) ).
fof(f5119,plain,
! [X0] : join(X0,sF1) = join(X0,composition(sk1,complement(X0))),
inference(forward_demodulation,[],[f4978,f36]) ).
fof(f5136,plain,
sF1 = join(sk1,composition(sk1,sF9)),
inference(forward_demodulation,[],[f5086,f36]) ).
fof(f5184,plain,
! [X0] : join(X0,complement(composition(sk1,complement(X0)))) = join(X0,complement(join(X0,sF1))),
inference(superposition,[],[f936,f5119]) ).
fof(f5223,plain,
! [X0] : join(X0,complement(sF1)) = join(X0,complement(composition(sk1,complement(X0)))),
inference(forward_demodulation,[],[f5184,f936]) ).
fof(f5244,plain,
! [X0] : join(X0,sF2) = join(X0,complement(composition(sk1,complement(X0)))),
inference(forward_demodulation,[],[f5223,f38]) ).
fof(f5261,plain,
! [X0] : join(complement(X0),sF2) = join(complement(X0),complement(composition(sk1,X0))),
inference(superposition,[],[f5244,f783]) ).
fof(f5333,plain,
! [X0] : join(complement(X0),sF2) = complement(composition(sk1,X0)),
inference(forward_demodulation,[],[f5261,f4780]) ).
fof(f5349,plain,
! [X0] : join(complement(join(sF1,complement(X0))),complement(complement(composition(sk1,X0)))) = X0,
inference(backward_demodulation,[],[f1625,f5333]) ).
fof(f5365,plain,
! [X0] : join(complement(complement(composition(sk1,X0))),complement(join(sF1,complement(X0)))) = X0,
inference(forward_demodulation,[],[f5349,f1]) ).
fof(f5371,plain,
! [X0] : join(composition(sk1,X0),complement(join(sF1,complement(X0)))) = X0,
inference(forward_demodulation,[],[f5365,f783]) ).
fof(f5374,plain,
! [X0] : join(sF1,X0) = join(sk1,join(composition(sk1,sF9),X0)),
inference(superposition,[],[f2,f5136]) ).
fof(f5377,plain,
complement(sk1) = join(complement(sk1),complement(sF1)),
inference(superposition,[],[f739,f5136]) ).
fof(f5394,plain,
complement(sk1) = join(complement(sk1),sF2),
inference(forward_demodulation,[],[f5377,f38]) ).
fof(f5401,plain,
complement(sk1) = complement(composition(sk1,sk1)),
inference(forward_demodulation,[],[f5394,f5333]) ).
fof(f5419,plain,
complement(complement(sk1)) = composition(sk1,sk1),
inference(superposition,[],[f783,f5401]) ).
fof(f5427,plain,
sk1 = composition(sk1,sk1),
inference(forward_demodulation,[],[f5419,f783]) ).
fof(f5699,plain,
one = join(composition(sk1,one),complement(sF5)),
inference(superposition,[],[f5371,f812]) ).
fof(f5742,plain,
one = join(composition(sk1,one),sF6),
inference(forward_demodulation,[],[f5699,f46]) ).
fof(f5764,plain,
one = join(sk1,sF6),
inference(forward_demodulation,[],[f5742,f8]) ).
fof(f5812,plain,
join(sk1,complement(one)) = join(sk1,complement(sF6)),
inference(superposition,[],[f936,f5764]) ).
fof(f5828,plain,
join(sk1,complement(one)) = join(sk1,sF5),
inference(forward_demodulation,[],[f5812,f789]) ).
fof(f5838,plain,
sF9 = join(sk1,sF5),
inference(forward_demodulation,[],[f5828,f847]) ).
fof(f5960,plain,
complement(sF5) = join(complement(sF5),complement(sF9)),
inference(superposition,[],[f1144,f5838]) ).
fof(f5964,plain,
join(sk1,composition(sk1,sF9)) = join(sk1,composition(sk1,sF5)),
inference(superposition,[],[f4811,f5838]) ).
fof(f5965,plain,
sF1 = join(sk1,composition(sk1,sF5)),
inference(forward_demodulation,[],[f5964,f5136]) ).
fof(f5969,plain,
complement(sF5) = join(complement(sF5),sF10),
inference(forward_demodulation,[],[f5960,f54]) ).
fof(f5977,plain,
complement(sF5) = join(sF10,complement(sF5)),
inference(forward_demodulation,[],[f5969,f1]) ).
fof(f5982,plain,
sF6 = join(sF10,sF6),
inference(forward_demodulation,[],[f5977,f46]) ).
fof(f5986,plain,
sF6 = join(sF6,sF10),
inference(forward_demodulation,[],[f5982,f1]) ).
fof(f5988,plain,
sF6 = sF11,
inference(forward_demodulation,[],[f5986,f74]) ).
fof(f5989,plain,
spl13_2,
inference(avatar_split_clause,[],[f5988,f65]) ).
fof(f5990,plain,
( complement(sF5) = sF11
| ~ spl13_2 ),
inference(backward_demodulation,[],[f46,f66]) ).
fof(f6345,plain,
! [X0] : join(sk1,composition(sk1,X0)) = composition(sk1,join(sk1,X0)),
inference(superposition,[],[f1951,f5427]) ).
fof(f6350,plain,
sF1 = composition(sk1,join(sk1,sF5)),
inference(backward_demodulation,[],[f5965,f6345]) ).
fof(f6358,plain,
sF1 = composition(sk1,sF9),
inference(forward_demodulation,[],[f6350,f5838]) ).
fof(f6363,plain,
! [X0] : join(sF1,X0) = join(sk1,join(sF1,X0)),
inference(backward_demodulation,[],[f5374,f6358]) ).
fof(f6416,plain,
sF5 = join(sk1,sF5),
inference(superposition,[],[f6363,f812]) ).
fof(f6472,plain,
sF5 = sF9,
inference(backward_demodulation,[],[f5838,f6416]) ).
fof(f6478,plain,
complement(sF5) = sF10,
inference(backward_demodulation,[],[f54,f6472]) ).
fof(f6534,plain,
( sF10 = sF11
| ~ spl13_2 ),
inference(forward_demodulation,[],[f6478,f5990]) ).
fof(f6539,plain,
( $false
| spl13_1
| ~ spl13_2 ),
inference(forward_subsumption_resolution,[],[f6534,f77]) ).
fof(f6540,plain,
( spl13_1
| ~ spl13_2 ),
inference(avatar_contradiction_clause,[],[f6539]) ).
cnf(s1,plain,
( ~ spl13_1
| ~ spl13_2 ),
inference(sat_conversion,[],[f68]) ).
cnf(s2,plain,
spl13_2,
inference(sat_conversion,[],[f5989]) ).
cnf(s3,plain,
( spl13_1
| ~ spl13_2 ),
inference(sat_conversion,[],[f6540]) ).
cnf(s4,plain,
spl13_1,
inference(rat,[],[s3,s2]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s2,s4]) ).
fof(f6542,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : REL027-4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 % Computer : n002.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 27 22:56:22 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.13/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 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
% 13.54/2.99 % (3980550)Input is clausal, will run a generic CNF schedule.
% 13.54/2.99 % (3980612)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2093503294:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 13.54/2.99 % (3980613)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=406621053:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 13.54/2.99 % (3980614)lrs+10_1_sil=8000:sp=occurrence:random_seed=3116996570:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 13.54/2.99 % (3980611)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=757032930:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 13.54/2.99 % (3980616)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2930195333:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 13.54/2.99 % (3980619)dis-21_1_sil=8000:lcm=predicate:random_seed=3734941213: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)
% 13.54/2.99 % (3980619)Refutation not found, incomplete strategy
% 13.54/2.99 % (3980619)------------------------------
% 13.54/2.99 % (3980619)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.54/2.99 % (3980619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.54/2.99 % (3980619)CaDiCaL version: 2.1.3
% 13.54/2.99 % (3980619)Termination reason: Refutation not found, incomplete strategy
% 13.54/2.99 % (3980619)Time elapsed: 0.002 s
% 13.54/2.99 % (3980619)Peak memory usage: 88 MB
% 13.54/2.99 % (3980619)Instructions burned: 1 (million)
% 13.54/2.99 % (3980614)Instruction limit reached!
% 13.54/2.99 % (3980614)------------------------------
% 13.54/2.99 % (3980614)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.54/2.99 % (3980614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.54/2.99 % (3980614)CaDiCaL version: 2.1.3
% 13.54/2.99 % (3980614)Termination reason: Instruction limit
% 13.54/2.99 % (3980614)Termination phase: Saturation
% 13.54/2.99 % (3980614)Time elapsed: 0.066 s
% 13.54/2.99 % (3980614)Peak memory usage: 89 MB
% 13.54/2.99 % (3980614)Instructions burned: 108 (million)
% 13.54/2.99 % (3980616)Instruction limit reached!
% 13.54/2.99 % (3980616)------------------------------
% 13.54/2.99 % (3980616)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.54/2.99 % (3980616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.54/2.99 % (3980616)CaDiCaL version: 2.1.3
% 13.54/2.99 % (3980616)Termination reason: Instruction limit
% 13.54/2.99 % (3980616)Termination phase: Saturation
% 13.54/2.99 % (3980616)Time elapsed: 0.072 s
% 13.54/2.99 % (3980616)Peak memory usage: 89 MB
% 13.54/2.99 % (3980616)Instructions burned: 114 (million)
% 13.54/2.99 % (3980617)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3944401690:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 13.54/2.99 % (3980633)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=275067418:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 13.54/2.99 % (3980634)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1293179251: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)
% 13.54/2.99 % (3980617)Instruction limit reached!
% 13.54/2.99 % (3980617)------------------------------
% 13.54/2.99 % (3980617)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.54/2.99 % (3980617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.54/2.99 % (3980617)CaDiCaL version: 2.1.3
% 13.54/2.99 % (3980617)Termination reason: Instruction limit
% 13.54/2.99 % (3980617)Termination phase: Saturation
% 13.54/2.99 % (3980617)Time elapsed: 0.161 s
% 13.54/2.99 % (3980617)Peak memory usage: 89 MB
% 13.54/2.99 % (3980617)Instructions burned: 180 (million)
% 13.54/2.99 % (3980619)------------------------------
% 13.54/2.99 % (3980619)------------------------------
% 13.54/2.99 % (3980633)Instruction limit reached!
% 13.54/2.99 % (3980633)------------------------------
% 13.54/2.99 % (3980633)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.54/2.99 % (3980633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.61/3.30 % (3980633)CaDiCaL version: 2.1.3
% 14.61/3.30 % (3980633)Termination reason: Instruction limit
% 14.61/3.30 % (3980633)Termination phase: Saturation
% 14.61/3.30 % (3980633)Time elapsed: 0.076 s
% 14.61/3.30 % (3980633)Peak memory usage: 89 MB
% 14.61/3.30 % (3980633)Instructions burned: 145 (million)
% 14.61/3.30 % (3980634)Instruction limit reached!
% 14.61/3.30 % (3980634)------------------------------
% 14.61/3.30 % (3980634)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.61/3.30 % (3980634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.61/3.30 % (3980634)CaDiCaL version: 2.1.3
% 14.61/3.30 % (3980634)Termination reason: Instruction limit
% 14.61/3.30 % (3980634)Termination phase: Saturation
% 14.61/3.30 % (3980634)Time elapsed: 0.111 s
% 14.61/3.30 % (3980634)Peak memory usage: 91 MB
% 14.61/3.30 % (3980634)Instructions burned: 189 (million)
% 14.61/3.30 % (3980639)lrs+10_64_to=lpo:sil=8000:random_seed=940845330:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 14.61/3.30 % (3980638)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=4067867986:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 14.61/3.30 % (3980640)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=141505756:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 14.61/3.30 % (3980639)Instruction limit reached!
% 14.61/3.30 % (3980639)------------------------------
% 14.61/3.30 % (3980639)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.61/3.30 % (3980639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.61/3.30 % (3980639)CaDiCaL version: 2.1.3
% 14.61/3.30 % (3980639)Termination reason: Instruction limit
% 14.61/3.30 % (3980639)Termination phase: Saturation
% 14.61/3.30 % (3980639)Time elapsed: 0.095 s
% 14.61/3.30 % (3980639)Peak memory usage: 88 MB
% 14.61/3.30 % (3980639)Instructions burned: 127 (million)
% 14.61/3.30 % (3980641)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=580064411:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 14.61/3.30 % (3980638)Instruction limit reached!
% 14.61/3.30 % (3980638)------------------------------
% 14.61/3.30 % (3980638)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.61/3.30 % (3980638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.61/3.30 % (3980638)CaDiCaL version: 2.1.3
% 14.61/3.30 % (3980638)Termination reason: Instruction limit
% 14.61/3.30 % (3980638)Termination phase: Saturation
% 14.61/3.30 % (3980638)Time elapsed: 0.193 s
% 14.61/3.30 % (3980638)Peak memory usage: 90 MB
% 14.61/3.30 % (3980638)Instructions burned: 219 (million)
% 14.61/3.30 % (3980640)Instruction limit reached!
% 14.61/3.30 % (3980640)------------------------------
% 14.61/3.30 % (3980640)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.61/3.30 % (3980640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.61/3.30 % (3980640)CaDiCaL version: 2.1.3
% 14.61/3.30 % (3980640)Termination reason: Instruction limit
% 14.61/3.30 % (3980640)Termination phase: Saturation
% 14.61/3.30 % (3980640)Time elapsed: 0.181 s
% 14.61/3.30 % (3980640)Peak memory usage: 90 MB
% 14.61/3.30 % (3980640)Instructions burned: 194 (million)
% 14.61/3.30 % (3980641)Instruction limit reached!
% 14.61/3.30 % (3980641)------------------------------
% 14.61/3.30 % (3980641)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.61/3.30 % (3980641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.61/3.30 % (3980641)CaDiCaL version: 2.1.3
% 14.61/3.30 % (3980641)Termination reason: Instruction limit
% 14.61/3.30 % (3980641)Termination phase: Saturation
% 14.61/3.30 % (3980641)Time elapsed: 0.150 s
% 14.61/3.30 % (3980641)Peak memory usage: 91 MB
% 14.61/3.30 % (3980641)Instructions burned: 158 (million)
% 14.61/3.30 % (3980653)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3812119972:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 14.61/3.30 % (3980656)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=3809791554:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2992 on theBenchmark for (2992ds/106Mi)
% 14.61/3.30 % (3980661)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=978519391:i=107_2991 on theBenchmark for (2991ds/107Mi)
% 14.61/3.30 % (3980661)Instruction limit reached!
% 14.61/3.30 % (3980661)------------------------------
% 14.61/3.30 % (3980661)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.61/3.30 % (3980661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.61/3.30 % (3980661)CaDiCaL version: 2.1.3
% 14.61/3.30 % (3980661)Termination reason: Instruction limit
% 14.61/3.30 % (3980661)Termination phase: Saturation
% 14.61/3.30 % (3980661)Time elapsed: 0.065 s
% 14.61/3.30 % (3980661)Peak memory usage: 88 MB
% 14.61/3.30 % (3980661)Instructions burned: 108 (million)
% 14.61/3.30 % (3980656)Instruction limit reached!
% 14.61/3.30 % (3980656)------------------------------
% 14.61/3.30 % (3980656)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.61/3.30 % (3980656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.61/3.30 % (3980656)CaDiCaL version: 2.1.3
% 14.61/3.30 % (3980656)Termination reason: Instruction limit
% 14.61/3.30 % (3980656)Termination phase: Saturation
% 14.61/3.30 % (3980656)Time elapsed: 0.103 s
% 14.61/3.30 % (3980656)Peak memory usage: 89 MB
% 14.61/3.30 % (3980656)Instructions burned: 107 (million)
% 14.61/3.30 % (3980665)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1506145133:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 14.61/3.30 % (3980674)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1170709020:cond=fast:i=5208:av=off_2989 on theBenchmark for (2989ds/5208Mi)
% 14.61/3.30 % (3980665)Instruction limit reached!
% 14.61/3.30 % (3980665)------------------------------
% 14.61/3.30 % (3980665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.61/3.30 % (3980665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.61/3.30 % (3980665)CaDiCaL version: 2.1.3
% 14.61/3.30 % (3980665)Termination reason: Instruction limit
% 14.61/3.30 % (3980665)Termination phase: Saturation
% 14.61/3.30 % (3980665)Time elapsed: 0.234 s
% 14.61/3.30 % (3980665)Peak memory usage: 90 MB
% 14.61/3.30 % (3980665)Instructions burned: 243 (million)
% 14.61/3.30 % (3980676)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1637202394:i=134:sd=2:doe=on:ss=axioms:sgt=14_2988 on theBenchmark for (2988ds/134Mi)
% 14.61/3.30 % (3980676)Instruction limit reached!
% 14.61/3.30 % (3980676)------------------------------
% 14.61/3.30 % (3980676)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.61/3.30 % (3980676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.61/3.30 % (3980676)CaDiCaL version: 2.1.3
% 14.61/3.30 % (3980676)Termination reason: Instruction limit
% 14.61/3.30 % (3980676)Termination phase: Saturation
% 14.61/3.30 % (3980676)Time elapsed: 0.115 s
% 14.61/3.30 % (3980676)Peak memory usage: 89 MB
% 14.61/3.30 % (3980676)Instructions burned: 136 (million)
% 14.61/3.30 % (3980684)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1322220670:i=499:bd=all_2986 on theBenchmark for (2986ds/499Mi)
% 14.61/3.30 % (3980690)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2491543839:i=191:fgj=on:bd=all_2984 on theBenchmark for (2984ds/191Mi)
% 14.61/3.30 % (3980613)First to succeed.
% 14.61/3.30 % (3980613)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3980550"
% 14.61/3.30 % (3980690)Instruction limit reached!
% 14.61/3.30 % (3980690)------------------------------
% 14.61/3.30 % (3980690)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.61/3.30 % (3980690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.61/3.30 % (3980690)CaDiCaL version: 2.1.3
% 14.61/3.30 % (3980690)Termination reason: Instruction limit
% 14.61/3.30 % (3980690)Termination phase: Saturation
% 14.61/3.30 % (3980690)Time elapsed: 0.205 s
% 14.61/3.30 % (3980690)Peak memory usage: 90 MB
% 14.61/3.30 % (3980690)Instructions burned: 191 (million)
% 14.61/3.30 % (3980611)Also succeeded, but the first one will report.
% 14.61/3.30 % (3980684)Instruction limit reached!
% 14.61/3.30 % (3980684)------------------------------
% 14.61/3.30 % (3980684)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.61/3.30 % (3980684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.61/3.30 % (3980684)CaDiCaL version: 2.1.3
% 14.61/3.30 % (3980684)Termination reason: Instruction limit
% 14.61/3.30 % (3980684)Termination phase: Saturation
% 14.61/3.30 % (3980684)Time elapsed: 0.480 s
% 14.61/3.30 % (3980684)Peak memory usage: 93 MB
% 14.61/3.30 % (3980684)Instructions burned: 500 (million)
% 14.61/3.30 % (3980699)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1205147763:i=264:kws=precedence:fsr=off_2979 on theBenchmark for (2979ds/264Mi)
% 14.61/3.30 % (3980613)Refutation found. Thanks to Tanya!
% 14.61/3.30 % SZS status Unsatisfiable for theBenchmark
% 14.61/3.30 % SZS output start Proof for theBenchmark
% See solution above
% 17.60/3.55 % (3980613)------------------------------
% 17.60/3.55 % (3980613)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.60/3.55 % (3980613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.60/3.55 % (3980613)CaDiCaL version: 2.1.3
% 17.60/3.55 % (3980613)Termination reason: Refutation
% 17.60/3.55 % (3980613)Time elapsed: 1.785 s
% 17.60/3.55 % (3980613)Peak memory usage: 139 MB
% 17.60/3.55 % (3980613)Instructions burned: 1946 (million)
% 17.60/3.55 % (3980613)------------------------------
% 17.60/3.55 % (3980613)------------------------------
% 17.60/3.55 % (3980550)Success in time 2.42 s
% 17.60/3.55 % Vampire exiting
%------------------------------------------------------------------------------