%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL029-2 : 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 : n016.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 12:33:55 PM UTC 2026
% Result : Unsatisfiable 16.17s 3.46s
% Output : Refutation 17.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 83
% Number of leaves : 15
% Syntax : Number of formulae : 221 ( 208 unt; 0 def)
% Number of atoms : 234 ( 233 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 51 ( 38 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 365 ( 365 !; 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(f17,negated_conjecture,
join(sk1,one) = one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_14) ).
fof(f18,plain,
one = join(sk1,one),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
join(sk2,one) = one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_15) ).
fof(f20,plain,
one = join(sk2,one),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( join(composition(meet(sk1,sk2),sk3),meet(composition(sk1,sk3),composition(sk2,sk3))) != meet(composition(sk1,sk3),composition(sk2,sk3))
| join(meet(composition(sk1,sk3),composition(sk2,sk3)),composition(meet(sk1,sk2),sk3)) != composition(meet(sk1,sk2),sk3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_16) ).
fof(f22,plain,
( meet(composition(sk1,sk3),composition(sk2,sk3)) != join(composition(meet(sk1,sk2),sk3),meet(composition(sk1,sk3),composition(sk2,sk3)))
| composition(meet(sk1,sk2),sk3) != join(meet(composition(sk1,sk3),composition(sk2,sk3)),composition(meet(sk1,sk2),sk3)) ),
inference(reorient_equations,[],[f21]) ).
fof(f24,plain,
( complement(join(complement(composition(sk1,sk3)),complement(composition(sk2,sk3)))) != join(composition(complement(join(complement(sk1),complement(sk2))),sk3),complement(join(complement(composition(sk1,sk3)),complement(composition(sk2,sk3)))))
| composition(complement(join(complement(sk1),complement(sk2))),sk3) != join(complement(join(complement(composition(sk1,sk3)),complement(composition(sk2,sk3)))),composition(complement(join(complement(sk1),complement(sk2))),sk3)) ),
inference(definition_unfolding,[],[f22,f6,f6,f6,f6,f6,f6]) ).
fof(f25,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f11,f10]) ).
fof(f28,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f12,f10]) ).
fof(f33,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(f41,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f33,f12]) ).
fof(f46,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f41,f11]) ).
fof(f49,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f46,f11]) ).
fof(f51,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f49,f12]) ).
fof(f69,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f1,f2]) ).
fof(f75,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f28,f8]) ).
fof(f87,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f75,f10]) ).
fof(f102,plain,
one = converse(one),
inference(superposition,[],[f8,f87]) ).
fof(f171,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f4,f1]) ).
fof(f172,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(join(complement(join(complement(X0),complement(X1))),complement(complement(join(complement(X0),X1))))),complement(X0)),
inference(superposition,[],[f4,f4]) ).
fof(f182,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(f184,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(superposition,[],[f1,f4]) ).
fof(f185,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(X2,complement(join(complement(X0),complement(X1))))),
inference(forward_demodulation,[],[f182,f69]) ).
fof(f192,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X0),complement(join(complement(join(complement(X0),complement(X1))),complement(complement(join(complement(X0),X1)))))),
inference(forward_demodulation,[],[f172,f1]) ).
fof(f193,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(forward_demodulation,[],[f171,f1]) ).
fof(f196,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X0),complement(join(complement(complement(join(complement(X0),X1))),complement(join(complement(X0),complement(X1)))))),
inference(forward_demodulation,[],[f192,f1]) ).
fof(f250,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f10,f51]) ).
fof(f262,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f250,f10]) ).
fof(f285,plain,
! [X0,X1] : join(X0,composition(X0,X1)) = composition(X0,join(one,X1)),
inference(superposition,[],[f262,f8]) ).
fof(f288,plain,
! [X0,X1] : composition(X0,join(X1,one)) = join(composition(X0,X1),X0),
inference(superposition,[],[f262,f8]) ).
fof(f292,plain,
! [X0,X1] : composition(join(X0,X0),X1) = composition(X0,join(X1,X1)),
inference(superposition,[],[f9,f262]) ).
fof(f298,plain,
! [X0,X1] : join(X0,composition(X0,X1)) = composition(X0,join(X1,one)),
inference(forward_demodulation,[],[f288,f1]) ).
fof(f441,plain,
! [X0,X1] : complement(X1) = join(composition(X0,complement(composition(converse(X0),X1))),complement(X1)),
inference(superposition,[],[f14,f10]) ).
fof(f455,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(composition(converse(X1),complement(composition(X1,X0))),join(complement(X0),X2)),
inference(superposition,[],[f2,f14]) ).
fof(f458,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(complement(X0),join(X2,composition(converse(X1),complement(composition(X1,X0))))),
inference(forward_demodulation,[],[f455,f69]) ).
fof(f469,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(X0,complement(composition(converse(X0),X1)))),
inference(forward_demodulation,[],[f441,f1]) ).
fof(f599,plain,
! [X2,X3,X0,X1] : composition(join(X3,composition(X0,X1)),X2) = join(composition(X3,X2),composition(X0,composition(X1,X2))),
inference(superposition,[],[f9,f7]) ).
fof(f820,plain,
! [X0] : composition(X0,one) = join(X0,composition(X0,sk1)),
inference(superposition,[],[f298,f18]) ).
fof(f821,plain,
! [X0] : composition(X0,one) = join(X0,composition(X0,sk2)),
inference(superposition,[],[f298,f20]) ).
fof(f863,plain,
! [X0] : join(X0,composition(X0,sk2)) = X0,
inference(forward_demodulation,[],[f821,f8]) ).
fof(f864,plain,
! [X0] : join(X0,composition(X0,sk1)) = X0,
inference(forward_demodulation,[],[f820,f8]) ).
fof(f990,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f87,f102]) ).
fof(f1022,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),join(X1,composition(converse(one),complement(X0)))),
inference(superposition,[],[f458,f990]) ).
fof(f1025,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(converse(one),X0))),
inference(superposition,[],[f469,f990]) ).
fof(f1032,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f1025,f87]) ).
fof(f1034,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),join(X1,complement(X0))),
inference(forward_demodulation,[],[f1022,f87]) ).
fof(f1055,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,[],[f185,f1032]) ).
fof(f1069,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f1055,f184]) ).
fof(f1108,plain,
! [X0] : join(X0,complement(complement(X0))) = X0,
inference(superposition,[],[f1069,f1069]) ).
fof(f1110,plain,
! [X0,X1] : join(X1,complement(join(complement(X0),complement(X1)))) = X1,
inference(superposition,[],[f1069,f1]) ).
fof(f1118,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),X0) = join(X0,X0),
inference(superposition,[],[f185,f1069]) ).
fof(f1135,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = join(X0,X0),
inference(forward_demodulation,[],[f1118,f1]) ).
fof(f1222,plain,
! [X0,X1] : join(X1,X1) = join(X1,complement(join(X0,complement(X1)))),
inference(superposition,[],[f1135,f1]) ).
fof(f1245,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f1069,f1135]) ).
fof(f1284,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
inference(forward_demodulation,[],[f1222,f1245]) ).
fof(f1345,plain,
! [X0,X1] : join(X1,X0) = join(complement(join(complement(X1),X0)),X0),
inference(superposition,[],[f185,f1284]) ).
fof(f1365,plain,
! [X0,X1] : join(X1,X0) = join(X0,complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f1345,f1]) ).
fof(f1587,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(join(complement(join(complement(X0),complement(X1))),X1)),complement(join(X0,complement(X1)))),
inference(superposition,[],[f193,f1365]) ).
fof(f1613,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(join(X0,complement(X1))),complement(join(complement(join(complement(X0),complement(X1))),X1))),
inference(forward_demodulation,[],[f1587,f1]) ).
fof(f1643,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(join(X0,complement(X1))),complement(join(X1,complement(join(complement(X0),complement(X1)))))),
inference(forward_demodulation,[],[f1613,f1]) ).
fof(f1659,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(join(X0,complement(X1))),complement(X1)),
inference(forward_demodulation,[],[f1643,f1110]) ).
fof(f1665,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X1),complement(join(X0,complement(X1)))),
inference(forward_demodulation,[],[f1659,f1]) ).
fof(f1735,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(complement(X0)),complement(X1)),
inference(superposition,[],[f1365,f1665]) ).
fof(f1844,plain,
! [X0,X1] : join(complement(complement(X0)),complement(X1)) = join(X0,complement(join(complement(complement(join(complement(complement(X0)),X1))),complement(join(complement(complement(X0)),complement(X1)))))),
inference(superposition,[],[f196,f1735]) ).
fof(f1845,plain,
! [X0,X1] : join(X0,complement(join(X1,complement(complement(X0))))) = join(complement(X1),complement(complement(X0))),
inference(superposition,[],[f1665,f1735]) ).
fof(f1857,plain,
! [X0] : complement(complement(X0)) = join(X0,complement(complement(X0))),
inference(superposition,[],[f1245,f1735]) ).
fof(f1870,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(X1),complement(complement(X0))),
inference(superposition,[],[f1,f1735]) ).
fof(f1878,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f1857,f1108]) ).
fof(f1884,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X1,complement(complement(X0))))),
inference(forward_demodulation,[],[f1845,f1870]) ).
fof(f1885,plain,
! [X0,X1] : join(complement(complement(X0)),complement(X1)) = join(X0,complement(join(join(complement(complement(X0)),X1),complement(join(complement(complement(X0)),complement(X1)))))),
inference(forward_demodulation,[],[f1844,f1735]) ).
fof(f1906,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X1,X0))),
inference(forward_demodulation,[],[f1884,f1878]) ).
fof(f1907,plain,
! [X0,X1] : join(complement(complement(X0)),complement(X1)) = join(X0,complement(join(complement(complement(X0)),join(X1,complement(join(complement(complement(X0)),complement(X1))))))),
inference(forward_demodulation,[],[f1885,f2]) ).
fof(f1917,plain,
! [X0,X1] : join(complement(complement(X0)),complement(X1)) = join(X0,complement(join(complement(complement(X0)),X1))),
inference(forward_demodulation,[],[f1907,f1110]) ).
fof(f1923,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f1917,f1878]) ).
fof(f1944,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(X1),X0))),
inference(superposition,[],[f193,f1878]) ).
fof(f1954,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X1,X0))),
inference(superposition,[],[f1284,f1878]) ).
fof(f1958,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X1,X0))),
inference(superposition,[],[f1665,f1878]) ).
fof(f1979,plain,
! [X2,X0,X1] : join(X1,complement(join(X2,X0))) = join(X1,complement(join(X0,join(X1,X2)))),
inference(superposition,[],[f1923,f69]) ).
fof(f2046,plain,
! [X2,X0,X1] : join(join(X0,X1),complement(X2)) = join(X0,join(X1,complement(join(join(X0,X1),X2)))),
inference(superposition,[],[f2,f1923]) ).
fof(f2047,plain,
! [X2,X0,X1] : join(join(X0,X1),complement(X2)) = join(X0,join(X1,complement(join(X0,join(X1,X2))))),
inference(forward_demodulation,[],[f2046,f2]) ).
fof(f2090,plain,
! [X2,X0,X1] : join(join(X0,X1),complement(X2)) = join(X0,join(X1,complement(join(X2,X0)))),
inference(forward_demodulation,[],[f2047,f1979]) ).
fof(f2120,plain,
! [X2,X0,X1] : join(X0,join(X1,complement(X2))) = join(X0,join(X1,complement(join(X2,X0)))),
inference(forward_demodulation,[],[f2090,f2]) ).
fof(f2164,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,X1))),
inference(superposition,[],[f1958,f1]) ).
fof(f3346,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(complement(complement(X0)),join(X2,complement(join(complement(join(X0,X1)),complement(complement(join(complement(X1),X0))))))),
inference(superposition,[],[f185,f1944]) ).
fof(f3373,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(complement(complement(X0)),join(X2,complement(join(join(complement(X1),X0),complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f3346,f1870]) ).
fof(f3457,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(complement(complement(X0)),join(X2,complement(join(complement(X1),join(X0,complement(join(X0,X1))))))),
inference(forward_demodulation,[],[f3373,f2]) ).
fof(f3526,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(complement(complement(X0)),join(X2,complement(join(complement(X1),join(X0,complement(X1)))))),
inference(forward_demodulation,[],[f3457,f1923]) ).
fof(f3582,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(complement(complement(X0)),join(X2,complement(join(complement(X1),X0)))),
inference(forward_demodulation,[],[f3526,f1034]) ).
fof(f3625,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X2,complement(join(complement(X1),X0)))),
inference(forward_demodulation,[],[f3582,f1878]) ).
fof(f3655,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X2,complement(complement(X1)))),
inference(forward_demodulation,[],[f3625,f2120]) ).
fof(f3674,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X2,X1)),
inference(forward_demodulation,[],[f3655,f1878]) ).
fof(f3768,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X0,join(X2,X1)),
inference(superposition,[],[f2,f3674]) ).
fof(f3772,plain,
! [X2,X0,X1] : join(complement(X1),complement(join(X0,join(complement(X1),X2)))) = join(complement(join(X0,X2)),complement(X1)),
inference(superposition,[],[f1665,f3674]) ).
fof(f3808,plain,
! [X2,X0,X1] : join(complement(X1),complement(join(X2,X0))) = join(complement(join(X0,X2)),complement(X1)),
inference(forward_demodulation,[],[f3772,f1979]) ).
fof(f4005,plain,
! [X2,X0,X1] : join(X0,complement(join(X2,X1))) = join(X0,complement(join(X0,join(X1,X2)))),
inference(superposition,[],[f1923,f3768]) ).
fof(f4009,plain,
! [X2,X0,X1] : join(X0,complement(join(X0,join(X1,X2)))) = join(complement(join(X2,X1)),X0),
inference(superposition,[],[f2164,f3768]) ).
fof(f4031,plain,
! [X2,X0,X1] : join(X0,complement(join(X1,X2))) = join(complement(join(X2,X1)),X0),
inference(forward_demodulation,[],[f4009,f1923]) ).
fof(f4033,plain,
! [X2,X0,X1] : join(X0,complement(join(X2,X1))) = join(X0,complement(join(X1,X2))),
inference(forward_demodulation,[],[f4005,f1923]) ).
fof(f4160,plain,
! [X2,X3,X0,X1] : join(X3,complement(join(complement(join(X2,X1)),X0))) = join(X3,complement(join(X0,complement(join(X1,X2))))),
inference(superposition,[],[f4033,f4033]) ).
fof(f4724,plain,
! [X2,X3,X0,X1] : join(complement(X3),complement(join(complement(join(X2,X1)),X0))) = join(complement(join(X0,complement(join(X1,X2)))),complement(X3)),
inference(superposition,[],[f3808,f4033]) ).
fof(f4741,plain,
! [X2,X3,X0,X1] : join(complement(X3),complement(join(complement(X0),complement(join(X2,X1))))) = join(complement(join(complement(X0),complement(join(X1,X2)))),complement(X3)),
inference(superposition,[],[f3808,f3808]) ).
fof(f7733,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(composition(converse(X0),sk1))),
inference(superposition,[],[f25,f864]) ).
fof(f7734,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(composition(converse(X0),sk2))),
inference(superposition,[],[f25,f863]) ).
fof(f7753,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(converse(sk2),X0)),
inference(forward_demodulation,[],[f7734,f28]) ).
fof(f7754,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(converse(sk1),X0)),
inference(forward_demodulation,[],[f7733,f28]) ).
fof(f7783,plain,
! [X0] : join(X0,composition(converse(sk2),X0)) = X0,
inference(forward_demodulation,[],[f7753,f10]) ).
fof(f7784,plain,
! [X0] : join(X0,composition(converse(sk1),X0)) = X0,
inference(forward_demodulation,[],[f7754,f10]) ).
fof(f7820,plain,
! [X0] : composition(X0,one) = join(X0,composition(X0,composition(converse(sk2),one))),
inference(superposition,[],[f285,f7783]) ).
fof(f7871,plain,
! [X0] : composition(X0,one) = join(X0,composition(X0,converse(sk2))),
inference(forward_demodulation,[],[f7820,f8]) ).
fof(f7892,plain,
! [X0] : join(X0,composition(X0,converse(sk2))) = X0,
inference(forward_demodulation,[],[f7871,f8]) ).
fof(f7951,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(composition(converse(X0),converse(sk2)))),
inference(superposition,[],[f25,f7892]) ).
fof(f7956,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(converse(converse(sk2)),X0)),
inference(forward_demodulation,[],[f7951,f28]) ).
fof(f7993,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(sk2,X0)),
inference(forward_demodulation,[],[f7956,f10]) ).
fof(f8015,plain,
! [X0] : join(X0,composition(sk2,X0)) = X0,
inference(forward_demodulation,[],[f7993,f10]) ).
fof(f8042,plain,
! [X0] : complement(composition(sk2,X0)) = join(complement(composition(sk2,X0)),complement(X0)),
inference(superposition,[],[f1954,f8015]) ).
fof(f8084,plain,
! [X0] : complement(composition(sk2,X0)) = join(complement(X0),complement(composition(sk2,X0))),
inference(forward_demodulation,[],[f8042,f1]) ).
fof(f8449,plain,
! [X0] : composition(X0,one) = join(X0,composition(X0,composition(converse(sk1),one))),
inference(superposition,[],[f285,f7784]) ).
fof(f8500,plain,
! [X0] : composition(X0,one) = join(X0,composition(X0,converse(sk1))),
inference(forward_demodulation,[],[f8449,f8]) ).
fof(f8521,plain,
! [X0] : join(X0,composition(X0,converse(sk1))) = X0,
inference(forward_demodulation,[],[f8500,f8]) ).
fof(f8580,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(composition(converse(X0),converse(sk1)))),
inference(superposition,[],[f25,f8521]) ).
fof(f8585,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(converse(converse(sk1)),X0)),
inference(forward_demodulation,[],[f8580,f28]) ).
fof(f8622,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(sk1,X0)),
inference(forward_demodulation,[],[f8585,f10]) ).
fof(f8644,plain,
! [X0] : join(X0,composition(sk1,X0)) = X0,
inference(forward_demodulation,[],[f8622,f10]) ).
fof(f8666,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(composition(sk1,X0),X1)),
inference(superposition,[],[f2,f8644]) ).
fof(f8690,plain,
! [X0] : complement(composition(sk1,complement(X0))) = join(complement(join(composition(sk1,complement(X0)),X0)),complement(complement(X0))),
inference(superposition,[],[f1944,f8644]) ).
fof(f8697,plain,
! [X0] : complement(composition(sk1,complement(X0))) = join(complement(complement(X0)),complement(join(X0,composition(sk1,complement(X0))))),
inference(forward_demodulation,[],[f8690,f3808]) ).
fof(f8728,plain,
! [X0] : complement(composition(sk1,complement(X0))) = join(X0,complement(join(X0,composition(sk1,complement(X0))))),
inference(forward_demodulation,[],[f8697,f1735]) ).
fof(f8747,plain,
! [X0] : complement(composition(sk1,complement(X0))) = join(X0,complement(composition(sk1,complement(X0)))),
inference(forward_demodulation,[],[f8728,f1923]) ).
fof(f9068,plain,
! [X0,X1] : join(X0,composition(sk1,X1)) = join(X0,composition(sk1,join(X0,X1))),
inference(superposition,[],[f8666,f262]) ).
fof(f9288,plain,
! [X0,X1] : join(X1,composition(sk1,join(X0,X1))) = join(X1,composition(sk1,X0)),
inference(superposition,[],[f9068,f1]) ).
fof(f9296,plain,
! [X0] : join(X0,composition(sk1,complement(X0))) = join(X0,composition(sk1,top)),
inference(superposition,[],[f9068,f15]) ).
fof(f9302,plain,
! [X0,X1] : join(X1,composition(sk1,join(X0,X1))) = join(X1,composition(sk1,complement(join(complement(X0),X1)))),
inference(superposition,[],[f9068,f1365]) ).
fof(f9305,plain,
! [X0,X1] : join(X0,composition(sk1,complement(join(X1,X0)))) = join(X0,composition(sk1,join(X0,complement(X1)))),
inference(superposition,[],[f9068,f1906]) ).
fof(f9454,plain,
! [X0,X1] : join(X0,composition(sk1,complement(join(X1,X0)))) = join(X0,composition(sk1,complement(X1))),
inference(forward_demodulation,[],[f9305,f9068]) ).
fof(f10018,plain,
! [X0] : join(X0,complement(composition(sk1,complement(X0)))) = join(X0,complement(join(X0,composition(sk1,top)))),
inference(superposition,[],[f1923,f9296]) ).
fof(f10074,plain,
! [X0] : join(X0,complement(composition(sk1,complement(X0)))) = join(X0,complement(composition(sk1,top))),
inference(forward_demodulation,[],[f10018,f1923]) ).
fof(f10109,plain,
! [X0] : complement(composition(sk1,complement(X0))) = join(X0,complement(composition(sk1,top))),
inference(forward_demodulation,[],[f10074,f8747]) ).
fof(f10201,plain,
! [X0,X1] : join(complement(composition(sk1,complement(X0))),X1) = join(X0,join(complement(composition(sk1,top)),X1)),
inference(superposition,[],[f2,f10109]) ).
fof(f10238,plain,
! [X0,X1] : complement(composition(sk1,complement(join(X0,X1)))) = join(X0,join(complement(composition(sk1,top)),X1)),
inference(superposition,[],[f3674,f10109]) ).
fof(f10239,plain,
! [X0,X1] : complement(composition(sk1,complement(join(X0,X1)))) = join(X0,join(X1,complement(composition(sk1,top)))),
inference(superposition,[],[f2,f10109]) ).
fof(f10240,plain,
! [X0,X1] : complement(composition(sk1,complement(join(X0,X1)))) = join(X0,complement(composition(sk1,complement(X1)))),
inference(forward_demodulation,[],[f10239,f10109]) ).
fof(f10273,plain,
! [X0,X1] : complement(composition(sk1,complement(join(X0,X1)))) = join(complement(composition(sk1,complement(X0))),X1),
inference(forward_demodulation,[],[f10201,f10238]) ).
fof(f10391,plain,
! [X0,X1] : complement(composition(sk1,complement(join(X1,complement(X0))))) = join(X1,complement(composition(sk1,X0))),
inference(superposition,[],[f10240,f1878]) ).
fof(f10435,plain,
! [X0,X1] : join(complement(composition(sk1,complement(X1))),complement(X0)) = join(complement(composition(sk1,complement(X1))),complement(complement(composition(sk1,complement(join(X0,X1)))))),
inference(superposition,[],[f1906,f10240]) ).
fof(f10462,plain,
! [X0,X1] : join(X0,complement(composition(sk1,complement(X1)))) = join(complement(composition(sk1,complement(X1))),complement(complement(composition(sk1,complement(join(complement(X0),X1)))))),
inference(superposition,[],[f1365,f10240]) ).
fof(f10478,plain,
! [X0,X1] : join(X0,complement(composition(sk1,complement(X1)))) = complement(composition(sk1,complement(join(X1,complement(complement(composition(sk1,complement(join(complement(X0),X1))))))))),
inference(forward_demodulation,[],[f10462,f10273]) ).
fof(f10503,plain,
! [X0,X1] : join(complement(composition(sk1,complement(X1))),complement(X0)) = complement(composition(sk1,complement(join(X1,complement(complement(composition(sk1,complement(join(X0,X1))))))))),
inference(forward_demodulation,[],[f10435,f10273]) ).
fof(f10550,plain,
! [X0,X1] : join(X0,complement(composition(sk1,complement(X1)))) = join(X1,complement(composition(sk1,complement(composition(sk1,complement(join(complement(X0),X1))))))),
inference(forward_demodulation,[],[f10478,f10391]) ).
fof(f10573,plain,
! [X0,X1] : join(complement(composition(sk1,complement(X1))),complement(X0)) = join(X1,complement(composition(sk1,complement(composition(sk1,complement(join(X0,X1))))))),
inference(forward_demodulation,[],[f10503,f10391]) ).
fof(f10606,plain,
! [X0,X1] : join(X0,complement(composition(sk1,complement(X1)))) = complement(composition(sk1,complement(join(X1,composition(sk1,complement(join(complement(X0),X1))))))),
inference(forward_demodulation,[],[f10550,f10240]) ).
fof(f10622,plain,
! [X0,X1] : join(complement(composition(sk1,complement(X1))),complement(X0)) = complement(composition(sk1,complement(join(X1,composition(sk1,complement(join(X0,X1))))))),
inference(forward_demodulation,[],[f10573,f10240]) ).
fof(f10638,plain,
! [X0,X1] : join(X0,complement(composition(sk1,complement(X1)))) = complement(composition(sk1,complement(join(X1,composition(sk1,join(X0,X1)))))),
inference(forward_demodulation,[],[f10606,f9302]) ).
fof(f10647,plain,
! [X0,X1] : join(complement(composition(sk1,complement(X1))),complement(X0)) = complement(composition(sk1,complement(join(X1,composition(sk1,complement(X0)))))),
inference(forward_demodulation,[],[f10622,f9454]) ).
fof(f10655,plain,
! [X0,X1] : join(X0,complement(composition(sk1,complement(X1)))) = complement(composition(sk1,complement(join(X1,composition(sk1,X0))))),
inference(forward_demodulation,[],[f10638,f9288]) ).
fof(f10661,plain,
! [X0,X1] : complement(composition(sk1,complement(join(X1,complement(X0))))) = complement(composition(sk1,complement(join(X1,composition(sk1,complement(X0)))))),
inference(forward_demodulation,[],[f10647,f10273]) ).
fof(f10667,plain,
! [X0,X1] : complement(composition(sk1,complement(join(X0,X1)))) = complement(composition(sk1,complement(join(X1,composition(sk1,X0))))),
inference(forward_demodulation,[],[f10655,f10240]) ).
fof(f10672,plain,
! [X0,X1] : join(X1,complement(composition(sk1,X0))) = complement(composition(sk1,complement(join(X1,composition(sk1,complement(X0)))))),
inference(forward_demodulation,[],[f10661,f10391]) ).
fof(f10677,plain,
! [X0,X1] : complement(composition(sk1,complement(join(complement(X0),X1)))) = join(X1,complement(composition(sk1,X0))),
inference(forward_demodulation,[],[f10672,f10667]) ).
fof(f10698,plain,
! [X0,X1] : complement(composition(sk1,complement(join(complement(X0),complement(X1))))) = join(complement(join(complement(complement(join(complement(X0),X1))),complement(join(complement(X0),complement(X1))))),complement(composition(sk1,X0))),
inference(superposition,[],[f10677,f196]) ).
fof(f10701,plain,
! [X0] : join(complement(composition(sk2,X0)),complement(composition(sk1,X0))) = complement(composition(sk1,complement(complement(composition(sk2,X0))))),
inference(superposition,[],[f10677,f8084]) ).
fof(f10723,plain,
! [X0,X1] : complement(composition(sk1,complement(complement(X0)))) = join(complement(join(X1,complement(complement(X0)))),complement(composition(sk1,X0))),
inference(superposition,[],[f10677,f1284]) ).
fof(f10725,plain,
! [X0,X1] : complement(composition(sk1,complement(join(complement(X0),complement(X1))))) = join(complement(join(X0,complement(X1))),complement(composition(sk1,X1))),
inference(superposition,[],[f10677,f1958]) ).
fof(f10870,plain,
! [X0,X1] : complement(composition(sk1,complement(join(complement(X0),complement(X1))))) = join(complement(composition(sk1,X1)),complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f10725,f3808]) ).
fof(f10872,plain,
! [X0,X1] : complement(composition(sk1,complement(complement(X0)))) = join(complement(composition(sk1,X0)),complement(join(complement(complement(X0)),X1))),
inference(forward_demodulation,[],[f10723,f3808]) ).
fof(f10891,plain,
! [X0] : join(complement(composition(sk2,X0)),complement(composition(sk1,X0))) = complement(composition(sk1,composition(sk2,X0))),
inference(forward_demodulation,[],[f10701,f1878]) ).
fof(f10894,plain,
! [X0,X1] : complement(composition(sk1,complement(join(complement(X0),complement(X1))))) = join(complement(composition(sk1,X0)),complement(join(complement(complement(join(complement(X0),X1))),complement(join(complement(X1),complement(X0)))))),
inference(forward_demodulation,[],[f10698,f4741]) ).
fof(f10956,plain,
! [X0,X1] : join(complement(X0),complement(composition(sk1,X1))) = join(complement(composition(sk1,X1)),complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f10870,f10391]) ).
fof(f10958,plain,
! [X0,X1] : complement(composition(sk1,X0)) = join(complement(composition(sk1,X0)),complement(join(X0,X1))),
inference(forward_demodulation,[],[f10872,f1878]) ).
fof(f10974,plain,
! [X0] : complement(composition(sk1,composition(sk2,X0))) = join(complement(composition(sk1,X0)),complement(composition(sk2,X0))),
inference(forward_demodulation,[],[f10891,f1]) ).
fof(f10976,plain,
! [X0,X1] : complement(composition(sk1,complement(join(complement(X0),complement(X1))))) = join(complement(composition(sk1,X0)),complement(join(join(complement(X0),X1),complement(join(complement(X1),complement(X0)))))),
inference(forward_demodulation,[],[f10894,f1735]) ).
fof(f11014,plain,
! [X0,X1] : complement(composition(sk1,complement(join(complement(X0),complement(X1))))) = join(complement(composition(sk1,X0)),complement(join(complement(X0),join(X1,complement(join(complement(X1),complement(X0))))))),
inference(forward_demodulation,[],[f10976,f2]) ).
fof(f11032,plain,
! [X0,X1] : complement(composition(sk1,complement(join(complement(X0),complement(X1))))) = join(complement(join(X1,complement(join(complement(X1),complement(X0))))),complement(composition(sk1,X0))),
inference(forward_demodulation,[],[f11014,f10956]) ).
fof(f11045,plain,
! [X0,X1] : complement(composition(sk1,complement(join(complement(X0),complement(X1))))) = join(complement(composition(sk1,X0)),complement(join(complement(join(complement(X0),complement(X1))),X1))),
inference(forward_demodulation,[],[f11032,f4724]) ).
fof(f11053,plain,
! [X0,X1] : complement(composition(sk1,complement(join(complement(X0),complement(X1))))) = join(complement(composition(sk1,X0)),complement(join(X1,complement(join(complement(X1),complement(X0)))))),
inference(forward_demodulation,[],[f11045,f4160]) ).
fof(f11058,plain,
! [X0,X1] : join(complement(composition(sk1,X0)),complement(X1)) = complement(composition(sk1,complement(join(complement(X0),complement(X1))))),
inference(forward_demodulation,[],[f11053,f1069]) ).
fof(f11063,plain,
! [X0,X1] : join(complement(composition(sk1,X0)),complement(X1)) = join(complement(X0),complement(composition(sk1,X1))),
inference(forward_demodulation,[],[f11058,f10391]) ).
fof(f11188,plain,
! [X2,X0,X1] : join(X2,complement(join(complement(X0),complement(composition(sk1,X1))))) = join(X2,complement(join(complement(X1),complement(composition(sk1,X0))))),
inference(superposition,[],[f4033,f11063]) ).
fof(f13356,plain,
! [X0] : complement(composition(sk1,complement(complement(composition(sk2,X0))))) = join(complement(X0),complement(composition(sk1,composition(sk2,X0)))),
inference(superposition,[],[f10391,f8084]) ).
fof(f13516,plain,
! [X0] : complement(composition(sk1,composition(sk2,X0))) = join(complement(X0),complement(composition(sk1,composition(sk2,X0)))),
inference(forward_demodulation,[],[f13356,f1878]) ).
fof(f15868,plain,
complement(composition(sk1,sk2)) = join(complement(composition(sk1,sk2)),complement(one)),
inference(superposition,[],[f10958,f20]) ).
fof(f15999,plain,
complement(composition(sk1,sk2)) = join(complement(sk2),complement(composition(sk1,one))),
inference(forward_demodulation,[],[f15868,f11063]) ).
fof(f16095,plain,
join(complement(sk2),complement(sk1)) = complement(composition(sk1,sk2)),
inference(forward_demodulation,[],[f15999,f8]) ).
fof(f16150,plain,
join(complement(sk1),complement(sk2)) = complement(composition(sk1,sk2)),
inference(forward_demodulation,[],[f16095,f1]) ).
fof(f16240,plain,
( complement(join(complement(composition(sk1,sk3)),complement(composition(sk2,sk3)))) != join(composition(complement(complement(composition(sk1,sk2))),sk3),complement(join(complement(composition(sk1,sk3)),complement(composition(sk2,sk3)))))
| composition(complement(complement(composition(sk1,sk2))),sk3) != join(complement(join(complement(composition(sk1,sk3)),complement(composition(sk2,sk3)))),composition(complement(complement(composition(sk1,sk2))),sk3)) ),
inference(superposition,[],[f24,f16150]) ).
fof(f16325,plain,
( complement(complement(composition(sk1,composition(sk2,sk3)))) != join(composition(complement(complement(composition(sk1,sk2))),sk3),complement(complement(composition(sk1,composition(sk2,sk3)))))
| composition(complement(complement(composition(sk1,sk2))),sk3) != join(complement(join(complement(composition(sk1,sk3)),complement(composition(sk2,sk3)))),composition(complement(complement(composition(sk1,sk2))),sk3)) ),
inference(forward_demodulation,[],[f16240,f10974]) ).
fof(f16359,plain,
( complement(complement(composition(sk1,composition(sk2,sk3)))) != join(complement(complement(composition(sk1,composition(sk2,sk3)))),composition(complement(complement(composition(sk1,sk2))),sk3))
| composition(complement(complement(composition(sk1,sk2))),sk3) != join(complement(join(complement(composition(sk1,sk3)),complement(composition(sk2,sk3)))),composition(complement(complement(composition(sk1,sk2))),sk3)) ),
inference(forward_demodulation,[],[f16325,f1]) ).
fof(f16383,plain,
( complement(complement(composition(sk1,composition(sk2,sk3)))) != join(complement(complement(composition(sk1,composition(sk2,sk3)))),composition(composition(sk1,sk2),sk3))
| composition(complement(complement(composition(sk1,sk2))),sk3) != join(complement(join(complement(composition(sk1,sk3)),complement(composition(sk2,sk3)))),composition(complement(complement(composition(sk1,sk2))),sk3)) ),
inference(forward_demodulation,[],[f16359,f1878]) ).
fof(f16392,plain,
( complement(complement(composition(sk1,composition(sk2,sk3)))) != join(composition(composition(sk1,sk2),sk3),complement(complement(composition(sk1,composition(sk2,sk3)))))
| composition(complement(complement(composition(sk1,sk2))),sk3) != join(complement(join(complement(composition(sk1,sk3)),complement(composition(sk2,sk3)))),composition(complement(complement(composition(sk1,sk2))),sk3)) ),
inference(forward_demodulation,[],[f16383,f1]) ).
fof(f16397,plain,
( composition(sk1,composition(sk2,sk3)) != join(composition(composition(sk1,sk2),sk3),composition(sk1,composition(sk2,sk3)))
| composition(complement(complement(composition(sk1,sk2))),sk3) != join(complement(join(complement(composition(sk1,sk3)),complement(composition(sk2,sk3)))),composition(complement(complement(composition(sk1,sk2))),sk3)) ),
inference(forward_demodulation,[],[f16392,f1878]) ).
fof(f16401,plain,
( composition(sk1,composition(sk2,sk3)) != composition(join(composition(sk1,sk2),composition(sk1,sk2)),sk3)
| composition(complement(complement(composition(sk1,sk2))),sk3) != join(complement(join(complement(composition(sk1,sk3)),complement(composition(sk2,sk3)))),composition(complement(complement(composition(sk1,sk2))),sk3)) ),
inference(forward_demodulation,[],[f16397,f599]) ).
fof(f16403,plain,
( composition(sk1,composition(sk2,sk3)) != composition(composition(sk1,sk2),join(sk3,sk3))
| composition(complement(complement(composition(sk1,sk2))),sk3) != join(complement(join(complement(composition(sk1,sk3)),complement(composition(sk2,sk3)))),composition(complement(complement(composition(sk1,sk2))),sk3)) ),
inference(forward_demodulation,[],[f16401,f292]) ).
fof(f16405,plain,
( composition(sk1,composition(sk2,sk3)) != composition(sk1,composition(sk2,join(sk3,sk3)))
| composition(complement(complement(composition(sk1,sk2))),sk3) != join(complement(join(complement(composition(sk1,sk3)),complement(composition(sk2,sk3)))),composition(complement(complement(composition(sk1,sk2))),sk3)) ),
inference(forward_demodulation,[],[f16403,f7]) ).
fof(f16406,plain,
( composition(sk1,composition(sk2,sk3)) != composition(sk1,composition(sk2,sk3))
| composition(complement(complement(composition(sk1,sk2))),sk3) != join(complement(join(complement(composition(sk1,sk3)),complement(composition(sk2,sk3)))),composition(complement(complement(composition(sk1,sk2))),sk3)) ),
inference(forward_demodulation,[],[f16405,f1245]) ).
fof(f16407,plain,
composition(complement(complement(composition(sk1,sk2))),sk3) != join(complement(join(complement(composition(sk1,sk3)),complement(composition(sk2,sk3)))),composition(complement(complement(composition(sk1,sk2))),sk3)),
inference(trivial_inequality_removal,[],[f16406]) ).
fof(f16408,plain,
composition(complement(complement(composition(sk1,sk2))),sk3) != join(composition(complement(complement(composition(sk1,sk2))),sk3),complement(join(complement(composition(sk2,sk3)),complement(composition(sk1,sk3))))),
inference(forward_demodulation,[],[f16407,f4031]) ).
fof(f16409,plain,
composition(complement(complement(composition(sk1,sk2))),sk3) != join(composition(complement(complement(composition(sk1,sk2))),sk3),complement(join(complement(sk3),complement(composition(sk1,composition(sk2,sk3)))))),
inference(forward_demodulation,[],[f16408,f11188]) ).
fof(f16410,plain,
composition(complement(complement(composition(sk1,sk2))),sk3) != join(composition(complement(complement(composition(sk1,sk2))),sk3),complement(complement(composition(sk1,composition(sk2,sk3))))),
inference(forward_demodulation,[],[f16409,f13516]) ).
fof(f16411,plain,
composition(complement(complement(composition(sk1,sk2))),sk3) != join(complement(complement(composition(sk1,composition(sk2,sk3)))),composition(complement(complement(composition(sk1,sk2))),sk3)),
inference(forward_demodulation,[],[f16410,f1]) ).
fof(f16412,plain,
composition(composition(sk1,sk2),sk3) != join(complement(complement(composition(sk1,composition(sk2,sk3)))),composition(composition(sk1,sk2),sk3)),
inference(forward_demodulation,[],[f16411,f1878]) ).
fof(f16413,plain,
composition(composition(sk1,sk2),sk3) != join(composition(composition(sk1,sk2),sk3),complement(complement(composition(sk1,composition(sk2,sk3))))),
inference(forward_demodulation,[],[f16412,f1]) ).
fof(f16414,plain,
composition(composition(sk1,sk2),sk3) != join(composition(composition(sk1,sk2),sk3),composition(sk1,composition(sk2,sk3))),
inference(forward_demodulation,[],[f16413,f1878]) ).
fof(f16415,plain,
composition(composition(sk1,sk2),sk3) != composition(join(composition(sk1,sk2),composition(sk1,sk2)),sk3),
inference(forward_demodulation,[],[f16414,f599]) ).
fof(f16416,plain,
composition(composition(sk1,sk2),sk3) != composition(composition(sk1,sk2),join(sk3,sk3)),
inference(forward_demodulation,[],[f16415,f292]) ).
fof(f16417,plain,
composition(composition(sk1,sk2),sk3) != composition(sk1,composition(sk2,join(sk3,sk3))),
inference(forward_demodulation,[],[f16416,f7]) ).
fof(f16418,plain,
composition(sk1,composition(sk2,sk3)) != composition(composition(sk1,sk2),sk3),
inference(forward_demodulation,[],[f16417,f1245]) ).
fof(f16419,plain,
$false,
inference(forward_subsumption_resolution,[],[f16418,f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : REL029-2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n016.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 22:58:02 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.41 Running first-order theorem proving
% 0.14/0.41 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
% 14.87/3.27 % (3082506)Input is clausal, will run a generic CNF schedule.
% 14.87/3.27 % (3082535)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=3054762090:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 14.87/3.27 % (3082537)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=508161212:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 14.87/3.27 % (3082536)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=546284638:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 14.87/3.27 % (3082538)lrs+10_1_sil=8000:sp=occurrence:random_seed=1693494225:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 14.87/3.27 % (3082539)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3243189997:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 14.87/3.27 % (3082540)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3841952858:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 14.87/3.27 % (3082541)dis-21_1_sil=8000:lcm=predicate:random_seed=2255764337: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)
% 14.87/3.27 % (3082541)Refutation not found, incomplete strategy
% 14.87/3.27 % (3082541)------------------------------
% 14.87/3.27 % (3082541)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.87/3.27 % (3082541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.87/3.27 % (3082541)CaDiCaL version: 2.1.3
% 14.87/3.27 % (3082541)Termination reason: Refutation not found, incomplete strategy
% 14.87/3.27 % (3082541)Time elapsed: 0.003 s
% 14.87/3.27 % (3082541)Peak memory usage: 88 MB
% 14.87/3.27 % (3082541)Instructions burned: 1 (million)
% 14.87/3.27 % (3082538)Instruction limit reached!
% 14.87/3.27 % (3082538)------------------------------
% 14.87/3.27 % (3082538)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.87/3.27 % (3082538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.87/3.27 % (3082538)CaDiCaL version: 2.1.3
% 14.87/3.27 % (3082538)Termination reason: Instruction limit
% 14.87/3.27 % (3082538)Termination phase: Saturation
% 14.87/3.27 % (3082538)Time elapsed: 0.112 s
% 14.87/3.27 % (3082538)Peak memory usage: 89 MB
% 14.87/3.27 % (3082538)Instructions burned: 107 (million)
% 14.87/3.27 % (3082539)Instruction limit reached!
% 14.87/3.27 % (3082539)------------------------------
% 14.87/3.27 % (3082539)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.87/3.27 % (3082539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.87/3.27 % (3082539)CaDiCaL version: 2.1.3
% 14.87/3.27 % (3082539)Termination reason: Instruction limit
% 14.87/3.27 % (3082539)Termination phase: Saturation
% 14.87/3.27 % (3082539)Time elapsed: 0.115 s
% 14.87/3.27 % (3082539)Peak memory usage: 89 MB
% 14.87/3.27 % (3082539)Instructions burned: 114 (million)
% 14.87/3.27 % (3082540)Instruction limit reached!
% 14.87/3.27 % (3082540)------------------------------
% 14.87/3.27 % (3082540)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.87/3.27 % (3082540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.87/3.27 % (3082540)CaDiCaL version: 2.1.3
% 14.87/3.27 % (3082540)Termination reason: Instruction limit
% 14.87/3.27 % (3082540)Termination phase: Saturation
% 14.87/3.27 % (3082540)Time elapsed: 0.178 s
% 14.87/3.27 % (3082540)Peak memory usage: 89 MB
% 14.87/3.27 % (3082540)Instructions burned: 180 (million)
% 14.87/3.27 % (3082550)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2824115939:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2995 on theBenchmark for (2995ds/189Mi)
% 14.87/3.27 % (3082549)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=1776543909:i=143:sd=2:aac=none:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/143Mi)
% 14.87/3.27 % (3082541)------------------------------
% 14.87/3.27 % (3082541)------------------------------
% 14.87/3.27 % (3082550)Instruction limit reached!
% 14.87/3.27 % (3082550)------------------------------
% 14.87/3.27 % (3082550)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.87/3.27 % (3082550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.17/3.46 % (3082550)CaDiCaL version: 2.1.3
% 16.17/3.46 % (3082550)Termination reason: Instruction limit
% 16.17/3.46 % (3082550)Termination phase: Saturation
% 16.17/3.46 % (3082550)Time elapsed: 0.102 s
% 16.17/3.46 % (3082550)Peak memory usage: 90 MB
% 16.17/3.46 % (3082550)Instructions burned: 191 (million)
% 16.17/3.46 % (3082551)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3200129352:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 16.17/3.46 % (3082549)Instruction limit reached!
% 16.17/3.46 % (3082549)------------------------------
% 16.17/3.46 % (3082549)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.17/3.46 % (3082549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.17/3.46 % (3082549)CaDiCaL version: 2.1.3
% 16.17/3.46 % (3082549)Termination reason: Instruction limit
% 16.17/3.46 % (3082549)Termination phase: Saturation
% 16.17/3.46 % (3082549)Time elapsed: 0.132 s
% 16.17/3.46 % (3082549)Peak memory usage: 89 MB
% 16.17/3.46 % (3082549)Instructions burned: 143 (million)
% 16.17/3.46 % (3082551)Instruction limit reached!
% 16.17/3.46 % (3082551)------------------------------
% 16.17/3.46 % (3082551)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.17/3.46 % (3082551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.17/3.46 % (3082551)CaDiCaL version: 2.1.3
% 16.17/3.46 % (3082551)Termination reason: Instruction limit
% 16.17/3.46 % (3082551)Termination phase: Saturation
% 16.17/3.46 % (3082551)Time elapsed: 0.202 s
% 16.17/3.46 % (3082551)Peak memory usage: 90 MB
% 16.17/3.46 % (3082551)Instructions burned: 220 (million)
% 16.17/3.46 % (3082555)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2397727914:avsq=on:i=194:fgj=on:bd=preordered_2992 on theBenchmark for (2992ds/194Mi)
% 16.17/3.46 % (3082554)lrs+10_64_to=lpo:sil=8000:random_seed=1099776659:i=126:bd=preordered_2992 on theBenchmark for (2992ds/126Mi)
% 16.17/3.46 % (3082555)Instruction limit reached!
% 16.17/3.46 % (3082555)------------------------------
% 16.17/3.46 % (3082555)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.17/3.46 % (3082555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.17/3.46 % (3082555)CaDiCaL version: 2.1.3
% 16.17/3.46 % (3082555)Termination reason: Instruction limit
% 16.17/3.46 % (3082555)Termination phase: Saturation
% 16.17/3.46 % (3082555)Time elapsed: 0.104 s
% 16.17/3.46 % (3082555)Peak memory usage: 90 MB
% 16.17/3.46 % (3082555)Instructions burned: 195 (million)
% 16.17/3.46 % (3082557)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=840705691:i=157:gtg=all_2991 on theBenchmark for (2991ds/157Mi)
% 16.17/3.46 % (3082554)Instruction limit reached!
% 16.17/3.46 % (3082554)------------------------------
% 16.17/3.46 % (3082554)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.17/3.46 % (3082554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.17/3.46 % (3082554)CaDiCaL version: 2.1.3
% 16.17/3.46 % (3082554)Termination reason: Instruction limit
% 16.17/3.46 % (3082554)Termination phase: Saturation
% 16.17/3.46 % (3082554)Time elapsed: 0.133 s
% 16.17/3.46 % (3082554)Peak memory usage: 89 MB
% 16.17/3.46 % (3082554)Instructions burned: 126 (million)
% 16.17/3.46 % (3082558)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=349621443:i=3394:sd=4:ss=included:sgt=64_2990 on theBenchmark for (2990ds/3394Mi)
% 16.17/3.46 % (3082557)Instruction limit reached!
% 16.17/3.46 % (3082557)------------------------------
% 16.17/3.46 % (3082557)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.17/3.46 % (3082557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.17/3.46 % (3082557)CaDiCaL version: 2.1.3
% 16.17/3.46 % (3082557)Termination reason: Instruction limit
% 16.17/3.46 % (3082557)Termination phase: Saturation
% 16.17/3.46 % (3082557)Time elapsed: 0.172 s
% 16.17/3.46 % (3082557)Peak memory usage: 91 MB
% 16.17/3.46 % (3082557)Instructions burned: 157 (million)
% 16.17/3.46 % (3082561)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=1686448704:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2988 on theBenchmark for (2988ds/106Mi)
% 16.17/3.46 % (3082572)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=870746777:i=107_2988 on theBenchmark for (2988ds/107Mi)
% 16.17/3.46 % (3082561)Instruction limit reached!
% 16.17/3.46 % (3082561)------------------------------
% 16.17/3.46 % (3082561)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.17/3.46 % (3082561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.17/3.46 % (3082561)CaDiCaL version: 2.1.3
% 16.17/3.46 % (3082561)Termination reason: Instruction limit
% 16.17/3.46 % (3082561)Termination phase: Saturation
% 16.17/3.46 % (3082561)Time elapsed: 0.065 s
% 16.17/3.46 % (3082561)Peak memory usage: 89 MB
% 16.17/3.46 % (3082561)Instructions burned: 106 (million)
% 16.17/3.46 % (3082572)Instruction limit reached!
% 16.17/3.46 % (3082572)------------------------------
% 16.17/3.46 % (3082572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.17/3.46 % (3082572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.17/3.46 % (3082572)CaDiCaL version: 2.1.3
% 16.17/3.46 % (3082572)Termination reason: Instruction limit
% 16.17/3.46 % (3082572)Termination phase: Saturation
% 16.17/3.46 % (3082572)Time elapsed: 0.060 s
% 16.17/3.46 % (3082572)Peak memory usage: 88 MB
% 16.17/3.46 % (3082572)Instructions burned: 107 (million)
% 16.17/3.46 % (3082574)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3724608662:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2986 on theBenchmark for (2986ds/242Mi)
% 16.17/3.46 % (3082577)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1033977209:cond=fast:i=5208:av=off_2985 on theBenchmark for (2985ds/5208Mi)
% 16.17/3.46 % (3082578)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2470193581:i=134:sd=2:doe=on:ss=axioms:sgt=14_2985 on theBenchmark for (2985ds/134Mi)
% 16.17/3.46 % (3082574)Instruction limit reached!
% 16.17/3.46 % (3082574)------------------------------
% 16.17/3.46 % (3082574)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.17/3.46 % (3082574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.17/3.46 % (3082574)CaDiCaL version: 2.1.3
% 16.17/3.46 % (3082574)Termination reason: Instruction limit
% 16.17/3.46 % (3082574)Termination phase: Saturation
% 16.17/3.46 % (3082574)Time elapsed: 0.115 s
% 16.17/3.46 % (3082574)Peak memory usage: 89 MB
% 16.17/3.46 % (3082574)Instructions burned: 242 (million)
% 16.17/3.46 % (3082578)Instruction limit reached!
% 16.17/3.46 % (3082578)------------------------------
% 16.17/3.46 % (3082578)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.17/3.46 % (3082578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.17/3.46 % (3082578)CaDiCaL version: 2.1.3
% 16.17/3.46 % (3082578)Termination reason: Instruction limit
% 16.17/3.46 % (3082578)Termination phase: Saturation
% 16.17/3.46 % (3082578)Time elapsed: 0.076 s
% 16.17/3.46 % (3082578)Peak memory usage: 89 MB
% 16.17/3.46 % (3082578)Instructions burned: 135 (million)
% 16.17/3.46 % (3082582)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=267161808:i=499:bd=all_2983 on theBenchmark for (2983ds/499Mi)
% 16.17/3.46 % (3082583)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2235233234:i=191:fgj=on:bd=all_2983 on theBenchmark for (2983ds/191Mi)
% 16.17/3.46 % (3082583)Instruction limit reached!
% 16.17/3.46 % (3082583)------------------------------
% 16.17/3.46 % (3082583)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.17/3.46 % (3082583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.17/3.46 % (3082583)CaDiCaL version: 2.1.3
% 16.17/3.46 % (3082583)Termination reason: Instruction limit
% 16.17/3.46 % (3082583)Termination phase: Saturation
% 16.17/3.46 % (3082583)Time elapsed: 0.065 s
% 16.17/3.46 % (3082583)Peak memory usage: 90 MB
% 16.17/3.46 % (3082583)Instructions burned: 192 (million)
% 16.17/3.46 % (3082536)First to succeed.
% 16.17/3.46 % (3082536)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3082506"
% 16.17/3.46 % (3082587)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=534508486:i=264:kws=precedence:fsr=off_2980 on theBenchmark for (2980ds/264Mi)
% 16.17/3.46 % (3082582)Instruction limit reached!
% 16.17/3.46 % (3082582)------------------------------
% 16.17/3.46 % (3082582)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.17/3.46 % (3082582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.17/3.46 % (3082582)CaDiCaL version: 2.1.3
% 16.17/3.46 % (3082582)Termination reason: Instruction limit
% 16.17/3.46 % (3082582)Termination phase: Saturation
% 16.17/3.46 % (3082582)Time elapsed: 0.332 s
% 16.17/3.46 % (3082582)Peak memory usage: 94 MB
% 16.17/3.46 % (3082582)Instructions burned: 500 (million)
% 16.17/3.46 % (3082587)Instruction limit reached!
% 16.17/3.46 % (3082587)------------------------------
% 16.17/3.46 % (3082587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.17/3.46 % (3082587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.17/3.46 % (3082587)CaDiCaL version: 2.1.3
% 16.17/3.46 % (3082587)Termination reason: Instruction limit
% 16.17/3.46 % (3082587)Termination phase: Saturation
% 16.17/3.46 % (3082587)Time elapsed: 0.085 s
% 16.17/3.46 % (3082587)Peak memory usage: 91 MB
% 16.17/3.46 % (3082587)Instructions burned: 267 (million)
% 16.17/3.46 % (3082657)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=682206121:i=3256:kws=precedence:bd=preordered:av=off_2978 on theBenchmark for (2978ds/3256Mi)
% 16.17/3.46 % (3082656)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=1194697312:cond=on:i=156:bs=on:gtg=exists_all:er=known_2978 on theBenchmark for (2978ds/156Mi)
% 16.17/3.46 % (3082536)Refutation found. Thanks to Tanya!
% 16.17/3.46 % SZS status Unsatisfiable for theBenchmark
% 16.17/3.46 % SZS output start Proof for theBenchmark
% See solution above
% 17.01/3.66 % (3082536)------------------------------
% 17.01/3.66 % (3082536)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.01/3.66 % (3082536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.01/3.66 % (3082536)CaDiCaL version: 2.1.3
% 17.01/3.66 % (3082536)Termination reason: Refutation
% 17.01/3.66 % (3082536)Time elapsed: 1.722 s
% 17.01/3.66 % (3082536)Peak memory usage: 139 MB
% 17.01/3.66 % (3082536)Instructions burned: 2165 (million)
% 17.01/3.66 % (3082536)------------------------------
% 17.01/3.66 % (3082536)------------------------------
% 17.01/3.66 % (3082506)Success in time 2.294 s
% 17.01/3.66 % Vampire exiting
%------------------------------------------------------------------------------