%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL040-2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : 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 12:34:03 PM UTC 2026
% Result : Unsatisfiable 13.82s 3.43s
% Output : Refutation 16.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 76
% Number of leaves : 15
% Syntax : Number of formulae : 243 ( 234 unt; 0 def)
% Number of atoms : 252 ( 251 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 32 ( 23 ~; 9 |; 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 : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 490 ( 490 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux1_join_commutativity_1) ).
fof(f2,axiom,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux2_join_associativity_2) ).
fof(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan_3) ).
fof(f4,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',composition_associativity_5) ).
fof(f8,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_identity_6) ).
fof(f9,axiom,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_distributivity_7) ).
fof(f10,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence_8) ).
fof(f11,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity_9) ).
fof(f12,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_multiplicativity_10) ).
fof(f13,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_cancellativity_11) ).
fof(f14,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(reorient_equations,[],[f13]) ).
fof(f15,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_top_12) ).
fof(f16,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_zero_13) ).
fof(f17,negated_conjecture,
join(composition(converse(sk1),sk1),one) = one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_14) ).
fof(f18,plain,
one = join(composition(converse(sk1),sk1),one),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( join(composition(sk1,meet(sk2,sk3)),meet(composition(sk1,sk2),composition(sk1,sk3))) != meet(composition(sk1,sk2),composition(sk1,sk3))
| join(meet(composition(sk1,sk2),composition(sk1,sk3)),composition(sk1,meet(sk2,sk3))) != composition(sk1,meet(sk2,sk3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_15) ).
fof(f20,plain,
( meet(composition(sk1,sk2),composition(sk1,sk3)) != join(composition(sk1,meet(sk2,sk3)),meet(composition(sk1,sk2),composition(sk1,sk3)))
| composition(sk1,meet(sk2,sk3)) != join(meet(composition(sk1,sk2),composition(sk1,sk3)),composition(sk1,meet(sk2,sk3))) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f16,f6]) ).
fof(f22,plain,
( complement(join(complement(composition(sk1,sk2)),complement(composition(sk1,sk3)))) != join(composition(sk1,complement(join(complement(sk2),complement(sk3)))),complement(join(complement(composition(sk1,sk2)),complement(composition(sk1,sk3)))))
| composition(sk1,complement(join(complement(sk2),complement(sk3)))) != join(complement(join(complement(composition(sk1,sk2)),complement(composition(sk1,sk3)))),composition(sk1,complement(join(complement(sk2),complement(sk3))))) ),
inference(definition_unfolding,[],[f20,f6,f6,f6,f6,f6,f6]) ).
fof(f28,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f12,f10]) ).
fof(f30,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(f31,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f11,f10]) ).
fof(f44,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f28,f8]) ).
fof(f52,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f44,f10]) ).
fof(f57,plain,
! [X0,X1] : complement(X1) = join(composition(X0,complement(composition(converse(X0),X1))),complement(X1)),
inference(superposition,[],[f14,f10]) ).
fof(f64,plain,
! [X0,X1] : complement(X0) = join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))),
inference(superposition,[],[f1,f14]) ).
fof(f68,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(X0,complement(composition(converse(X0),X1)))),
inference(forward_demodulation,[],[f57,f1]) ).
fof(f81,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f1,f2]) ).
fof(f143,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f4,f1]) ).
fof(f145,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(f153,plain,
! [X2,X0,X1] : join(X1,X0) = join(complement(join(complement(X0),X2)),join(X1,complement(join(complement(X0),complement(X2))))),
inference(superposition,[],[f81,f4]) ).
fof(f154,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(f156,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(superposition,[],[f1,f4]) ).
fof(f157,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(X2,complement(join(complement(X0),complement(X1))))),
inference(forward_demodulation,[],[f154,f81]) ).
fof(f163,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,[],[f145,f1]) ).
fof(f165,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(forward_demodulation,[],[f143,f1]) ).
fof(f168,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,[],[f163,f1]) ).
fof(f216,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f2,f15]) ).
fof(f277,plain,
! [X0,X1] : join(X1,complement(join(complement(X0),X1))) = join(complement(join(complement(X1),X0)),X0),
inference(superposition,[],[f157,f165]) ).
fof(f286,plain,
! [X0,X1] : join(X1,complement(join(complement(X0),X1))) = join(X0,complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f277,f1]) ).
fof(f307,plain,
zero = complement(top),
inference(superposition,[],[f21,f15]) ).
fof(f371,plain,
one = converse(one),
inference(superposition,[],[f8,f52]) ).
fof(f802,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f30,f12]) ).
fof(f814,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f802,f11]) ).
fof(f824,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f814,f11]) ).
fof(f830,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f824,f12]) ).
fof(f849,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f10,f830]) ).
fof(f867,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f849,f10]) ).
fof(f901,plain,
! [X0,X1] : join(composition(X0,X1),X0) = composition(X0,join(X1,one)),
inference(superposition,[],[f867,f8]) ).
fof(f915,plain,
! [X2,X3,X0,X1] : join(composition(X0,join(X1,X2)),X3) = join(composition(X0,X1),join(composition(X0,X2),X3)),
inference(superposition,[],[f2,f867]) ).
fof(f920,plain,
! [X0,X1] : join(X0,composition(X0,X1)) = composition(X0,join(X1,one)),
inference(forward_demodulation,[],[f901,f1]) ).
fof(f1025,plain,
! [X0] : composition(X0,one) = join(X0,composition(X0,composition(converse(sk1),sk1))),
inference(superposition,[],[f920,f18]) ).
fof(f1073,plain,
! [X0] : join(X0,composition(X0,composition(converse(sk1),sk1))) = X0,
inference(forward_demodulation,[],[f1025,f8]) ).
fof(f1123,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(composition(converse(X0),composition(converse(sk1),sk1)))),
inference(superposition,[],[f31,f1073]) ).
fof(f1126,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(converse(composition(converse(sk1),sk1)),X0)),
inference(forward_demodulation,[],[f1123,f28]) ).
fof(f1146,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(composition(converse(sk1),sk1),X0)),
inference(forward_demodulation,[],[f1126,f28]) ).
fof(f1158,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(converse(sk1),composition(sk1,X0))),
inference(forward_demodulation,[],[f1146,f7]) ).
fof(f1163,plain,
! [X0] : join(X0,composition(converse(sk1),composition(sk1,X0))) = X0,
inference(forward_demodulation,[],[f1158,f10]) ).
fof(f1166,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f52,f371]) ).
fof(f1202,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(converse(one),X0))),
inference(superposition,[],[f68,f1166]) ).
fof(f1206,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f1202,f52]) ).
fof(f1230,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,[],[f157,f1206]) ).
fof(f1248,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f1230,f156]) ).
fof(f1292,plain,
! [X0,X1] : join(X1,complement(join(complement(X0),complement(X1)))) = X1,
inference(superposition,[],[f1248,f1]) ).
fof(f1293,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f1248,f21]) ).
fof(f1300,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),X0) = join(X0,X0),
inference(superposition,[],[f157,f1248]) ).
fof(f1323,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = join(X0,X0),
inference(forward_demodulation,[],[f1300,f1]) ).
fof(f1402,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f1,f1293]) ).
fof(f1444,plain,
! [X0,X1] : join(X1,X0) = join(complement(join(complement(X1),X0)),X0),
inference(superposition,[],[f157,f1292]) ).
fof(f1467,plain,
! [X0,X1] : join(X1,X0) = join(X0,complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f1444,f1]) ).
fof(f1493,plain,
! [X0] : join(top,top) = join(top,complement(join(zero,X0))),
inference(superposition,[],[f1323,f307]) ).
fof(f1503,plain,
! [X0,X1] : join(X1,X1) = join(X1,complement(join(X0,complement(X1)))),
inference(superposition,[],[f1323,f1]) ).
fof(f1531,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f1248,f1323]) ).
fof(f1579,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
inference(forward_demodulation,[],[f1503,f1531]) ).
fof(f1587,plain,
! [X0] : join(top,complement(X0)) = join(top,top),
inference(forward_demodulation,[],[f1493,f1402]) ).
fof(f1606,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[],[f1587,f1531]) ).
fof(f1636,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(superposition,[],[f1579,f1]) ).
fof(f1715,plain,
! [X0] : top = join(X0,complement(join(complement(top),X0))),
inference(superposition,[],[f286,f1606]) ).
fof(f1721,plain,
! [X0] : top = join(top,X0),
inference(forward_demodulation,[],[f1715,f1467]) ).
fof(f1736,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(join(complement(X0),X2),complement(join(X0,X1))),
inference(superposition,[],[f1636,f157]) ).
fof(f1801,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(complement(X0),join(X2,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f1736,f2]) ).
fof(f1825,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X1,X0)),
inference(superposition,[],[f81,f1531]) ).
fof(f1829,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(X1,complement(join(complement(X0),complement(complement(X0)))))),
inference(superposition,[],[f157,f1531]) ).
fof(f1867,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),X1),
inference(forward_demodulation,[],[f1829,f1801]) ).
fof(f1920,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(X1),complement(complement(X0))))),
inference(superposition,[],[f165,f1867]) ).
fof(f1923,plain,
! [X0,X1] : join(X1,complement(join(X0,X1))) = join(complement(X0),complement(join(complement(X1),complement(X0)))),
inference(superposition,[],[f286,f1867]) ).
fof(f1930,plain,
! [X0,X1] : join(X0,X1) = join(X1,complement(complement(X0))),
inference(superposition,[],[f1,f1867]) ).
fof(f1932,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X1,join(X2,complement(complement(X0)))),
inference(superposition,[],[f81,f1867]) ).
fof(f1943,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,[],[f168,f1867]) ).
fof(f1950,plain,
! [X0,X1] : join(X0,complement(join(complement(X1),complement(complement(X0))))) = join(X1,complement(join(complement(complement(complement(X0))),X1))),
inference(superposition,[],[f286,f1867]) ).
fof(f1963,plain,
! [X0] : complement(complement(X0)) = join(X0,zero),
inference(superposition,[],[f1293,f1867]) ).
fof(f1964,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f1963,f1293]) ).
fof(f1969,plain,
! [X0,X1] : join(complement(complement(X0)),X1) = join(X0,complement(join(complement(X1),complement(complement(X0))))),
inference(forward_demodulation,[],[f1950,f1467]) ).
fof(f1973,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,[],[f1943,f1867]) ).
fof(f1987,plain,
! [X0,X1] : join(X1,complement(X0)) = join(X1,complement(join(X0,X1))),
inference(forward_demodulation,[],[f1923,f1467]) ).
fof(f1990,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(X0,complement(X1)))),
inference(forward_demodulation,[],[f1920,f1930]) ).
fof(f2012,plain,
! [X0,X1] : join(complement(complement(X0)),X1) = join(X0,complement(join(X0,complement(X1)))),
inference(forward_demodulation,[],[f1969,f1930]) ).
fof(f2014,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,[],[f1973,f2]) ).
fof(f2029,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(X0,complement(X1)))),
inference(forward_demodulation,[],[f2012,f1867]) ).
fof(f2031,plain,
! [X0,X1] : join(complement(complement(X0)),complement(X1)) = join(X0,complement(join(X0,join(X1,complement(join(complement(complement(X0)),complement(X1))))))),
inference(forward_demodulation,[],[f2014,f1867]) ).
fof(f2041,plain,
! [X0,X1] : join(complement(complement(X0)),complement(X1)) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f2031,f1292]) ).
fof(f2045,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f2041,f1867]) ).
fof(f2066,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(X1),X0))),
inference(superposition,[],[f165,f1964]) ).
fof(f2078,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X1,X0))),
inference(superposition,[],[f1579,f1964]) ).
fof(f2101,plain,
! [X2,X0,X1] : join(X2,complement(join(X0,X1))) = join(X2,complement(join(X0,join(X1,X2)))),
inference(superposition,[],[f2045,f81]) ).
fof(f2102,plain,
! [X2,X0,X1] : join(X1,complement(join(X2,X0))) = join(X1,complement(join(X0,join(X1,X2)))),
inference(superposition,[],[f2045,f81]) ).
fof(f2105,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(join(complement(X1),X0))))) = join(X1,complement(complement(join(complement(X0),X1)))),
inference(superposition,[],[f2045,f286]) ).
fof(f2128,plain,
! [X2,X0,X1] : join(composition(X0,X1),complement(composition(X0,X2))) = join(composition(X0,X1),complement(composition(X0,join(X1,X2)))),
inference(superposition,[],[f2045,f867]) ).
fof(f2170,plain,
! [X2,X0,X1] : join(join(X0,X1),complement(X2)) = join(X0,join(X1,complement(join(join(X0,X1),X2)))),
inference(superposition,[],[f2,f2045]) ).
fof(f2171,plain,
! [X2,X0,X1] : join(join(X0,X1),complement(X2)) = join(X0,join(X1,complement(join(X0,join(X1,X2))))),
inference(forward_demodulation,[],[f2170,f2]) ).
fof(f2216,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(join(complement(X1),X0))))) = join(join(complement(X0),X1),X1),
inference(forward_demodulation,[],[f2105,f1930]) ).
fof(f2219,plain,
! [X2,X0,X1] : join(join(X0,X1),complement(X2)) = join(X0,join(X1,complement(join(X2,X0)))),
inference(forward_demodulation,[],[f2171,f2102]) ).
fof(f2253,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(join(complement(X1),X0))))) = join(complement(X0),join(X1,X1)),
inference(forward_demodulation,[],[f2216,f2]) ).
fof(f2256,plain,
! [X2,X0,X1] : join(X0,join(X1,complement(X2))) = join(X0,join(X1,complement(join(X2,X0)))),
inference(forward_demodulation,[],[f2219,f2]) ).
fof(f2280,plain,
! [X0,X1] : join(complement(X0),X1) = join(X1,complement(join(X0,complement(join(complement(X1),X0))))),
inference(forward_demodulation,[],[f2253,f1531]) ).
fof(f2300,plain,
! [X0,X1] : join(complement(X0),X1) = join(X1,complement(join(X1,X0))),
inference(forward_demodulation,[],[f2280,f1467]) ).
fof(f2317,plain,
! [X0,X1] : join(complement(X0),X1) = join(X1,complement(join(X0,X1))),
inference(superposition,[],[f2300,f1]) ).
fof(f2347,plain,
! [X2,X0,X1] : join(composition(X0,X1),complement(composition(X0,join(X1,X2)))) = join(complement(composition(X0,X2)),composition(X0,X1)),
inference(superposition,[],[f2300,f867]) ).
fof(f3841,plain,
! [X0,X1] : join(complement(composition(X0,complement(X1))),composition(X0,X1)) = join(composition(X0,X1),complement(composition(X0,top))),
inference(superposition,[],[f2347,f15]) ).
fof(f3940,plain,
! [X0,X1] : join(composition(X0,X1),complement(composition(X0,top))) = join(composition(X0,X1),complement(composition(X0,complement(X1)))),
inference(forward_demodulation,[],[f3841,f1]) ).
fof(f4163,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(complement(complement(X0)),join(X2,complement(join(complement(join(X0,X1)),complement(complement(join(X0,complement(X1)))))))),
inference(superposition,[],[f157,f1990]) ).
fof(f4196,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X2,complement(join(complement(join(X0,X1)),complement(complement(join(X0,complement(X1)))))))),
inference(forward_demodulation,[],[f4163,f1867]) ).
fof(f4276,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X2,complement(join(join(X0,complement(X1)),complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f4196,f1930]) ).
fof(f4336,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X2,complement(join(X0,join(complement(X1),complement(join(X0,X1))))))),
inference(forward_demodulation,[],[f4276,f2]) ).
fof(f4383,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X2,complement(join(X0,complement(X1))))),
inference(forward_demodulation,[],[f4336,f2078]) ).
fof(f4410,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X0,join(X2,complement(join(X0,complement(X1))))),
inference(forward_demodulation,[],[f4383,f2]) ).
fof(f5372,plain,
! [X2,X0,X1] : join(composition(converse(X1),join(X2,complement(composition(X1,X0)))),complement(X0)) = join(composition(converse(X1),X2),complement(X0)),
inference(superposition,[],[f915,f14]) ).
fof(f5459,plain,
! [X2,X0,X1] : join(complement(X0),composition(converse(X1),join(X2,complement(composition(X1,X0))))) = join(composition(converse(X1),X2),complement(X0)),
inference(forward_demodulation,[],[f5372,f1]) ).
fof(f6368,plain,
! [X0,X1] : complement(join(complement(complement(X1)),X0)) = join(complement(join(join(complement(complement(X1)),X0),X1)),complement(join(top,X0))),
inference(superposition,[],[f2066,f216]) ).
fof(f6377,plain,
! [X0,X1] : complement(join(complement(complement(X1)),X0)) = join(complement(join(top,X0)),complement(join(join(complement(complement(X1)),X0),X1))),
inference(forward_demodulation,[],[f6368,f1]) ).
fof(f6460,plain,
! [X0,X1] : complement(join(complement(complement(X1)),X0)) = join(complement(join(top,X0)),complement(join(complement(complement(X1)),join(X0,X1)))),
inference(forward_demodulation,[],[f6377,f2]) ).
fof(f6507,plain,
! [X0,X1] : complement(join(complement(complement(X1)),X0)) = join(complement(join(top,X0)),complement(join(X1,join(X0,X1)))),
inference(forward_demodulation,[],[f6460,f1867]) ).
fof(f6538,plain,
! [X0,X1] : complement(join(complement(complement(X1)),X0)) = join(complement(join(top,X0)),complement(join(X0,X1))),
inference(forward_demodulation,[],[f6507,f1825]) ).
fof(f6559,plain,
! [X0,X1] : complement(join(complement(complement(X1)),X0)) = join(complement(top),complement(join(X0,X1))),
inference(forward_demodulation,[],[f6538,f1721]) ).
fof(f6575,plain,
! [X0,X1] : complement(join(complement(complement(X1)),X0)) = join(zero,complement(join(X0,X1))),
inference(forward_demodulation,[],[f6559,f307]) ).
fof(f6582,plain,
! [X0,X1] : complement(join(X0,X1)) = complement(join(complement(complement(X1)),X0)),
inference(forward_demodulation,[],[f6575,f1402]) ).
fof(f6585,plain,
! [X0,X1] : complement(join(X0,X1)) = complement(join(X1,X0)),
inference(forward_demodulation,[],[f6582,f1867]) ).
fof(f6736,plain,
! [X2,X3,X0,X1] : join(join(X1,X0),X2) = join(complement(join(complement(join(X0,X1)),X3)),join(X2,complement(join(complement(join(X0,X1)),complement(X3))))),
inference(superposition,[],[f157,f6585]) ).
fof(f6743,plain,
! [X2,X0,X1] : join(complement(X2),complement(join(X0,X1))) = join(complement(X2),complement(join(complement(complement(join(complement(X2),join(X1,X0)))),complement(join(complement(X2),complement(join(X0,X1))))))),
inference(superposition,[],[f168,f6585]) ).
fof(f6756,plain,
! [X2,X0,X1] : join(X1,X0) = join(join(X1,X0),complement(join(X2,complement(join(X0,X1))))),
inference(superposition,[],[f1579,f6585]) ).
fof(f6774,plain,
! [X2,X0,X1] : join(X1,X0) = join(X1,join(X0,complement(join(X2,complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f6756,f2]) ).
fof(f6783,plain,
! [X2,X0,X1] : join(complement(X2),complement(join(X0,X1))) = join(complement(X2),complement(join(join(complement(X2),join(X1,X0)),complement(join(complement(X2),complement(join(X0,X1))))))),
inference(forward_demodulation,[],[f6743,f1867]) ).
fof(f6788,plain,
! [X2,X0,X1] : join(join(X1,X0),X2) = join(X2,join(X0,X1)),
inference(forward_demodulation,[],[f6736,f153]) ).
fof(f6854,plain,
! [X2,X0,X1] : join(complement(X2),complement(join(X0,X1))) = join(complement(X2),complement(join(complement(X2),join(join(X1,X0),complement(join(complement(X2),complement(join(X0,X1)))))))),
inference(forward_demodulation,[],[f6783,f2]) ).
fof(f6876,plain,
! [X2,X0,X1] : join(complement(X2),complement(join(X0,X1))) = join(complement(X2),complement(join(join(X1,X0),complement(join(complement(X2),complement(join(X0,X1))))))),
inference(forward_demodulation,[],[f6854,f2045]) ).
fof(f6889,plain,
! [X2,X0,X1] : join(complement(X2),complement(join(X0,X1))) = join(complement(X2),complement(join(X1,join(X0,complement(join(complement(X2),complement(join(X0,X1)))))))),
inference(forward_demodulation,[],[f6876,f2]) ).
fof(f6896,plain,
! [X2,X0,X1] : join(complement(X2),complement(join(X0,X1))) = join(complement(X2),complement(join(X1,X0))),
inference(forward_demodulation,[],[f6889,f6774]) ).
fof(f6948,plain,
! [X2,X0,X1] : join(X0,complement(join(X2,X1))) = join(X0,complement(join(X1,X2))),
inference(superposition,[],[f6896,f1964]) ).
fof(f7093,plain,
! [X0,X1] : complement(join(X0,X1)) = join(complement(join(X0,X1)),complement(join(X1,X0))),
inference(superposition,[],[f1531,f6896]) ).
fof(f7109,plain,
! [X2,X0,X1] : join(complement(X0),complement(join(X1,X2))) = join(complement(join(X2,X1)),complement(X0)),
inference(superposition,[],[f1,f6896]) ).
fof(f7510,plain,
! [X2,X0,X1] : join(X0,complement(join(X1,X2))) = join(complement(join(X2,X1)),X0),
inference(superposition,[],[f1,f6948]) ).
fof(f7959,plain,
! [X2,X0,X1] : join(complement(X0),complement(join(complement(X0),complement(join(X1,X2))))) = join(join(X2,X1),complement(join(complement(complement(X0)),join(X2,X1)))),
inference(superposition,[],[f286,f7109]) ).
fof(f7994,plain,
! [X2,X0,X1] : join(complement(X0),complement(join(complement(X0),complement(join(X1,X2))))) = join(X2,join(X1,complement(join(complement(complement(X0)),join(X2,X1))))),
inference(forward_demodulation,[],[f7959,f2]) ).
fof(f8153,plain,
! [X2,X0,X1] : join(complement(X0),complement(join(complement(X0),complement(join(X1,X2))))) = join(X2,join(X1,complement(join(complement(complement(X0)),X2)))),
inference(forward_demodulation,[],[f7994,f2101]) ).
fof(f8252,plain,
! [X2,X0,X1] : join(complement(X0),complement(join(complement(X0),complement(join(X1,X2))))) = join(X2,join(X1,complement(complement(complement(X0))))),
inference(forward_demodulation,[],[f8153,f2256]) ).
fof(f8275,plain,
! [X2,X0,X1] : join(complement(X0),join(X2,X1)) = join(complement(X0),complement(join(complement(X0),complement(join(X1,X2))))),
inference(forward_demodulation,[],[f8252,f1932]) ).
fof(f8282,plain,
! [X2,X0,X1] : join(complement(X0),join(X1,X2)) = join(complement(X0),join(X2,X1)),
inference(forward_demodulation,[],[f8275,f2029]) ).
fof(f8328,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X0,join(X2,X1)),
inference(superposition,[],[f8282,f1964]) ).
fof(f8417,plain,
! [X2,X0,X1] : join(X0,complement(join(complement(join(X2,X1)),X0))) = join(join(X2,X1),complement(join(complement(X0),join(X1,X2)))),
inference(superposition,[],[f286,f8282]) ).
fof(f8465,plain,
! [X2,X0,X1] : join(X0,complement(join(complement(join(X2,X1)),X0))) = join(X2,join(X1,complement(join(complement(X0),join(X1,X2))))),
inference(forward_demodulation,[],[f8417,f2]) ).
fof(f8536,plain,
! [X2,X0,X1] : join(X0,complement(join(complement(join(X2,X1)),X0))) = join(X2,join(X1,complement(join(X2,complement(X0))))),
inference(forward_demodulation,[],[f8465,f2102]) ).
fof(f8559,plain,
! [X2,X0,X1] : join(X2,join(X0,X1)) = join(X0,complement(join(complement(join(X2,X1)),X0))),
inference(forward_demodulation,[],[f8536,f4410]) ).
fof(f8570,plain,
! [X2,X0,X1] : join(X2,join(X0,X1)) = join(join(X2,X1),X0),
inference(forward_demodulation,[],[f8559,f1467]) ).
fof(f8640,plain,
! [X2,X3,X0,X1] : join(composition(X0,join(X1,X2)),X3) = join(X3,join(composition(X0,X2),composition(X0,X1))),
inference(superposition,[],[f6788,f867]) ).
fof(f8749,plain,
! [X2,X0,X1] : join(complement(X0),join(X2,X1)) = join(join(X2,X1),complement(join(X0,join(X1,X2)))),
inference(superposition,[],[f2300,f6788]) ).
fof(f8771,plain,
! [X2,X3,X0,X1] : join(complement(join(X0,X1)),join(X2,X3)) = join(join(X3,X2),complement(join(X1,X0))),
inference(superposition,[],[f6948,f6788]) ).
fof(f8872,plain,
! [X2,X3,X0,X1] : join(complement(join(X0,X1)),join(X2,X3)) = join(X3,join(X2,complement(join(X1,X0)))),
inference(forward_demodulation,[],[f8771,f2]) ).
fof(f8880,plain,
! [X2,X0,X1] : join(complement(X0),join(X2,X1)) = join(X2,join(X1,complement(join(X0,join(X1,X2))))),
inference(forward_demodulation,[],[f8749,f2]) ).
fof(f8971,plain,
! [X2,X3,X0,X1] : join(composition(X0,join(X1,X2)),X3) = join(X3,composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f8640,f867]) ).
fof(f9053,plain,
! [X2,X0,X1] : join(complement(X0),join(X2,X1)) = join(X2,join(X1,complement(join(X2,X0)))),
inference(forward_demodulation,[],[f8880,f2102]) ).
fof(f9361,plain,
! [X2,X0,X1] : join(complement(X2),join(X0,X1)) = join(X0,join(complement(join(join(X0,X1),X2)),X1)),
inference(superposition,[],[f2300,f8570]) ).
fof(f9382,plain,
! [X2,X0,X1] : join(complement(X2),join(X0,X1)) = join(X0,join(X1,complement(join(join(X0,X1),X2)))),
inference(forward_demodulation,[],[f9361,f8328]) ).
fof(f9480,plain,
! [X2,X0,X1] : join(complement(X2),join(X0,X1)) = join(X0,join(X1,complement(join(X0,join(X1,X2))))),
inference(forward_demodulation,[],[f9382,f2]) ).
fof(f9522,plain,
! [X2,X0,X1] : join(complement(X2),join(X0,X1)) = join(complement(join(X1,X2)),join(X0,X1)),
inference(forward_demodulation,[],[f9480,f9053]) ).
fof(f9543,plain,
! [X2,X0,X1] : join(complement(X2),join(X0,X1)) = join(X1,join(X0,complement(join(X2,X1)))),
inference(forward_demodulation,[],[f9522,f8872]) ).
fof(f10483,plain,
! [X2,X0,X1] : join(X2,complement(join(complement(X0),join(X1,X2)))) = join(X2,complement(join(X1,complement(join(X0,X2))))),
inference(superposition,[],[f2045,f9543]) ).
fof(f10537,plain,
! [X2,X0,X1] : join(X2,complement(join(complement(X0),X1))) = join(X2,complement(join(X1,complement(join(X0,X2))))),
inference(forward_demodulation,[],[f10483,f2101]) ).
fof(f10872,plain,
! [X0] : complement(composition(converse(sk1),composition(sk1,X0))) = join(complement(composition(converse(sk1),composition(sk1,X0))),complement(X0)),
inference(superposition,[],[f2078,f1163]) ).
fof(f10922,plain,
! [X0] : complement(composition(converse(sk1),composition(sk1,X0))) = join(complement(X0),complement(composition(converse(sk1),composition(sk1,X0)))),
inference(forward_demodulation,[],[f10872,f1]) ).
fof(f10971,plain,
! [X0] : join(composition(converse(converse(sk1)),complement(X0)),complement(composition(sk1,X0))) = join(complement(composition(sk1,X0)),composition(converse(converse(sk1)),complement(composition(converse(sk1),composition(sk1,X0))))),
inference(superposition,[],[f5459,f10922]) ).
fof(f11034,plain,
! [X0] : complement(composition(sk1,X0)) = join(composition(converse(converse(sk1)),complement(X0)),complement(composition(sk1,X0))),
inference(forward_demodulation,[],[f10971,f64]) ).
fof(f11062,plain,
! [X0] : complement(composition(sk1,X0)) = join(complement(composition(sk1,X0)),composition(converse(converse(sk1)),complement(X0))),
inference(forward_demodulation,[],[f11034,f1]) ).
fof(f11084,plain,
! [X0] : complement(composition(sk1,X0)) = join(complement(composition(sk1,X0)),composition(sk1,complement(X0))),
inference(forward_demodulation,[],[f11062,f10]) ).
fof(f12677,plain,
! [X0] : complement(composition(sk1,complement(X0))) = join(complement(composition(sk1,complement(X0))),complement(complement(composition(sk1,X0)))),
inference(superposition,[],[f2078,f11084]) ).
fof(f12697,plain,
! [X0] : complement(composition(sk1,complement(X0))) = join(composition(sk1,X0),complement(composition(sk1,complement(X0)))),
inference(forward_demodulation,[],[f12677,f1930]) ).
fof(f12719,plain,
! [X0] : complement(composition(sk1,complement(X0))) = join(composition(sk1,X0),complement(composition(sk1,top))),
inference(forward_demodulation,[],[f12697,f3940]) ).
fof(f12753,plain,
! [X0] : complement(composition(sk1,complement(X0))) = join(complement(composition(sk1,top)),composition(sk1,X0)),
inference(superposition,[],[f1,f12719]) ).
fof(f12786,plain,
! [X0,X1] : join(composition(sk1,join(X1,X0)),complement(composition(sk1,top))) = join(composition(sk1,X1),complement(composition(sk1,complement(X0)))),
inference(superposition,[],[f915,f12719]) ).
fof(f12787,plain,
! [X0,X1] : join(composition(sk1,X1),complement(composition(sk1,complement(X0)))) = join(complement(composition(sk1,top)),composition(sk1,join(X0,X1))),
inference(forward_demodulation,[],[f12786,f8971]) ).
fof(f12818,plain,
! [X0,X1] : join(composition(sk1,X1),complement(composition(sk1,complement(X0)))) = complement(composition(sk1,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f12787,f12753]) ).
fof(f12886,plain,
! [X0,X1] : complement(composition(sk1,complement(join(complement(X0),X1)))) = join(composition(sk1,X1),complement(composition(sk1,X0))),
inference(superposition,[],[f12818,f1964]) ).
fof(f12905,plain,
! [X0,X1] : join(complement(composition(sk1,complement(X0))),complement(composition(sk1,X1))) = join(complement(composition(sk1,complement(X0))),complement(complement(composition(sk1,complement(join(X0,X1)))))),
inference(superposition,[],[f1987,f12818]) ).
fof(f12911,plain,
! [X0,X1] : join(composition(sk1,X1),complement(complement(composition(sk1,complement(join(X0,X1)))))) = join(complement(complement(composition(sk1,complement(X0)))),composition(sk1,X1)),
inference(superposition,[],[f2300,f12818]) ).
fof(f12912,plain,
! [X0,X1] : join(complement(composition(sk1,complement(X0))),complement(complement(composition(sk1,complement(join(X0,X1)))))) = join(complement(composition(sk1,X1)),complement(composition(sk1,complement(X0)))),
inference(superposition,[],[f2317,f12818]) ).
fof(f12944,plain,
! [X0,X1] : join(complement(composition(sk1,X1)),complement(composition(sk1,complement(X0)))) = join(composition(sk1,complement(join(X0,X1))),complement(composition(sk1,complement(X0)))),
inference(forward_demodulation,[],[f12912,f1930]) ).
fof(f12945,plain,
! [X0,X1] : join(composition(sk1,X1),complement(complement(composition(sk1,complement(join(X0,X1)))))) = join(composition(sk1,complement(X0)),composition(sk1,X1)),
inference(forward_demodulation,[],[f12911,f1867]) ).
fof(f12950,plain,
! [X0,X1] : join(complement(composition(sk1,complement(X0))),complement(composition(sk1,X1))) = join(composition(sk1,complement(join(X0,X1))),complement(composition(sk1,complement(X0)))),
inference(forward_demodulation,[],[f12905,f1930]) ).
fof(f12978,plain,
! [X0,X1] : join(complement(composition(sk1,X1)),complement(composition(sk1,complement(X0)))) = complement(composition(sk1,complement(join(X0,complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f12944,f12818]) ).
fof(f12979,plain,
! [X0,X1] : join(composition(sk1,X1),complement(complement(composition(sk1,complement(join(X0,X1)))))) = composition(sk1,join(complement(X0),X1)),
inference(forward_demodulation,[],[f12945,f867]) ).
fof(f12984,plain,
! [X0,X1] : join(complement(composition(sk1,complement(X0))),complement(composition(sk1,X1))) = complement(composition(sk1,complement(join(X0,complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f12950,f12818]) ).
fof(f13001,plain,
! [X0,X1] : join(complement(composition(sk1,X1)),complement(composition(sk1,complement(X0)))) = complement(composition(sk1,complement(join(X0,complement(X1))))),
inference(forward_demodulation,[],[f12978,f2045]) ).
fof(f13002,plain,
! [X0,X1] : join(composition(sk1,complement(join(X0,X1))),composition(sk1,X1)) = composition(sk1,join(complement(X0),X1)),
inference(forward_demodulation,[],[f12979,f1930]) ).
fof(f13007,plain,
! [X0,X1] : join(complement(composition(sk1,complement(X0))),complement(composition(sk1,X1))) = complement(composition(sk1,complement(join(X0,complement(X1))))),
inference(forward_demodulation,[],[f12984,f2045]) ).
fof(f13020,plain,
! [X0,X1] : composition(sk1,join(complement(X0),X1)) = composition(sk1,join(complement(join(X0,X1)),X1)),
inference(forward_demodulation,[],[f13002,f867]) ).
fof(f13031,plain,
! [X0,X1] : composition(sk1,join(complement(X0),X1)) = composition(sk1,join(X1,complement(join(X1,X0)))),
inference(forward_demodulation,[],[f13020,f7510]) ).
fof(f13039,plain,
! [X0,X1] : composition(sk1,join(complement(X0),X1)) = composition(sk1,join(X1,complement(X0))),
inference(forward_demodulation,[],[f13031,f2045]) ).
fof(f13077,plain,
! [X0,X1] : join(complement(composition(sk1,complement(X0))),complement(complement(composition(sk1,X1)))) = join(complement(composition(sk1,complement(X0))),complement(join(complement(complement(complement(composition(sk1,complement(join(X0,complement(X1))))))),complement(join(complement(composition(sk1,complement(X0))),complement(complement(composition(sk1,X1)))))))),
inference(superposition,[],[f168,f13007]) ).
fof(f13145,plain,
! [X0,X1] : join(complement(composition(sk1,complement(X0))),complement(complement(composition(sk1,X1)))) = join(complement(composition(sk1,complement(X0))),complement(join(complement(composition(sk1,complement(join(X0,complement(X1))))),complement(join(complement(composition(sk1,complement(X0))),complement(complement(composition(sk1,X1)))))))),
inference(forward_demodulation,[],[f13077,f1867]) ).
fof(f13189,plain,
! [X0,X1] : join(composition(sk1,X1),complement(composition(sk1,complement(X0)))) = join(complement(composition(sk1,complement(X0))),complement(join(complement(composition(sk1,complement(join(X0,complement(X1))))),complement(join(composition(sk1,X1),complement(composition(sk1,complement(X0)))))))),
inference(forward_demodulation,[],[f13145,f1930]) ).
fof(f13228,plain,
! [X0,X1] : join(composition(sk1,X1),complement(composition(sk1,complement(X0)))) = join(complement(composition(sk1,complement(X0))),complement(join(complement(composition(sk1,X1)),complement(composition(sk1,complement(join(X0,complement(X1)))))))),
inference(forward_demodulation,[],[f13189,f10537]) ).
fof(f13262,plain,
! [X0,X1] : join(composition(sk1,X1),complement(composition(sk1,complement(X0)))) = join(complement(composition(sk1,complement(X0))),complement(complement(composition(sk1,complement(join(join(X0,complement(X1)),complement(X1))))))),
inference(forward_demodulation,[],[f13228,f13001]) ).
fof(f13286,plain,
! [X0,X1] : join(composition(sk1,X1),complement(composition(sk1,complement(X0)))) = join(composition(sk1,complement(join(join(X0,complement(X1)),complement(X1)))),complement(composition(sk1,complement(X0)))),
inference(forward_demodulation,[],[f13262,f1930]) ).
fof(f13302,plain,
! [X0,X1] : join(composition(sk1,X1),complement(composition(sk1,complement(X0)))) = complement(composition(sk1,complement(join(X0,complement(join(join(X0,complement(X1)),complement(X1))))))),
inference(forward_demodulation,[],[f13286,f12818]) ).
fof(f13311,plain,
! [X0,X1] : join(composition(sk1,X1),complement(composition(sk1,complement(X0)))) = complement(composition(sk1,complement(join(X0,complement(join(complement(X1),join(X0,complement(X1)))))))),
inference(forward_demodulation,[],[f13302,f6948]) ).
fof(f13314,plain,
! [X0,X1] : join(composition(sk1,X1),complement(composition(sk1,complement(X0)))) = complement(composition(sk1,complement(join(X0,complement(join(complement(X1),complement(X1))))))),
inference(forward_demodulation,[],[f13311,f2102]) ).
fof(f13317,plain,
! [X0,X1] : join(composition(sk1,X1),complement(composition(sk1,complement(X0)))) = complement(composition(sk1,complement(join(X0,complement(complement(X1)))))),
inference(forward_demodulation,[],[f13314,f1206]) ).
fof(f13319,plain,
! [X0,X1] : join(composition(sk1,X1),complement(composition(sk1,complement(X0)))) = complement(composition(sk1,complement(join(X1,X0)))),
inference(forward_demodulation,[],[f13317,f1930]) ).
fof(f13320,plain,
! [X0,X1] : complement(composition(sk1,complement(join(X1,X0)))) = complement(composition(sk1,complement(join(complement(complement(X0)),X1)))),
inference(forward_demodulation,[],[f13319,f12886]) ).
fof(f13321,plain,
! [X0,X1] : complement(composition(sk1,complement(join(X0,X1)))) = complement(composition(sk1,complement(join(X1,X0)))),
inference(forward_demodulation,[],[f13320,f1867]) ).
fof(f13329,plain,
! [X0,X1] : complement(composition(sk1,complement(join(complement(X0),complement(X1))))) = join(complement(composition(sk1,X1)),complement(composition(sk1,X0))),
inference(superposition,[],[f13001,f1964]) ).
fof(f13643,plain,
! [X0,X1] : join(composition(sk1,X0),complement(composition(sk1,X1))) = complement(composition(sk1,complement(join(complement(join(X0,X1)),X0)))),
inference(superposition,[],[f2128,f12886]) ).
fof(f13655,plain,
! [X0,X1] : complement(composition(sk1,complement(join(complement(X0),X1)))) = join(complement(composition(sk1,X0)),composition(sk1,X1)),
inference(superposition,[],[f1,f12886]) ).
fof(f13721,plain,
! [X0,X1] : join(composition(sk1,X0),complement(composition(sk1,X1))) = complement(composition(sk1,complement(join(X0,complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f13643,f13321]) ).
fof(f13760,plain,
! [X0,X1] : join(composition(sk1,X0),complement(composition(sk1,X1))) = complement(composition(sk1,complement(join(X0,complement(X1))))),
inference(forward_demodulation,[],[f13721,f2045]) ).
fof(f13856,plain,
! [X0,X1] : complement(complement(composition(sk1,complement(join(X0,complement(X1)))))) = complement(join(complement(composition(sk1,X1)),composition(sk1,X0))),
inference(superposition,[],[f6585,f13760]) ).
fof(f13886,plain,
! [X0,X1] : complement(complement(composition(sk1,complement(join(X0,complement(X1)))))) = complement(complement(composition(sk1,complement(join(complement(X1),X0))))),
inference(forward_demodulation,[],[f13856,f13655]) ).
fof(f13924,plain,
! [X0,X1] : composition(sk1,complement(join(complement(X1),X0))) = complement(complement(composition(sk1,complement(join(X0,complement(X1)))))),
inference(forward_demodulation,[],[f13886,f1964]) ).
fof(f13952,plain,
! [X0,X1] : composition(sk1,complement(join(complement(X1),X0))) = composition(sk1,complement(join(X0,complement(X1)))),
inference(forward_demodulation,[],[f13924,f1964]) ).
fof(f19031,plain,
( complement(complement(composition(sk1,complement(join(complement(sk3),complement(sk2)))))) != join(composition(sk1,complement(join(complement(sk2),complement(sk3)))),complement(complement(composition(sk1,complement(join(complement(sk3),complement(sk2)))))))
| composition(sk1,complement(join(complement(sk2),complement(sk3)))) != join(complement(complement(composition(sk1,complement(join(complement(sk3),complement(sk2)))))),composition(sk1,complement(join(complement(sk2),complement(sk3))))) ),
inference(superposition,[],[f22,f13329]) ).
fof(f19173,plain,
( complement(complement(composition(sk1,complement(join(complement(sk3),complement(sk2)))))) != join(composition(sk1,complement(join(complement(sk3),complement(sk2)))),composition(sk1,complement(join(complement(sk2),complement(sk3)))))
| composition(sk1,complement(join(complement(sk2),complement(sk3)))) != join(complement(complement(composition(sk1,complement(join(complement(sk3),complement(sk2)))))),composition(sk1,complement(join(complement(sk2),complement(sk3))))) ),
inference(forward_demodulation,[],[f19031,f1930]) ).
fof(f19255,plain,
( complement(complement(composition(sk1,complement(join(complement(sk3),complement(sk2)))))) != composition(sk1,join(complement(join(complement(sk3),complement(sk2))),complement(join(complement(sk2),complement(sk3)))))
| composition(sk1,complement(join(complement(sk2),complement(sk3)))) != join(complement(complement(composition(sk1,complement(join(complement(sk3),complement(sk2)))))),composition(sk1,complement(join(complement(sk2),complement(sk3))))) ),
inference(forward_demodulation,[],[f19173,f867]) ).
fof(f19315,plain,
( complement(complement(composition(sk1,complement(join(complement(sk3),complement(sk2)))))) != composition(sk1,join(complement(join(complement(sk2),complement(sk3))),complement(join(complement(sk3),complement(sk2)))))
| composition(sk1,complement(join(complement(sk2),complement(sk3)))) != join(complement(complement(composition(sk1,complement(join(complement(sk3),complement(sk2)))))),composition(sk1,complement(join(complement(sk2),complement(sk3))))) ),
inference(forward_demodulation,[],[f19255,f13039]) ).
fof(f19358,plain,
( composition(sk1,complement(join(complement(sk2),complement(sk3)))) != complement(complement(composition(sk1,complement(join(complement(sk3),complement(sk2))))))
| composition(sk1,complement(join(complement(sk2),complement(sk3)))) != join(complement(complement(composition(sk1,complement(join(complement(sk3),complement(sk2)))))),composition(sk1,complement(join(complement(sk2),complement(sk3))))) ),
inference(forward_demodulation,[],[f19315,f7093]) ).
fof(f19386,plain,
( composition(sk1,complement(join(complement(sk2),complement(sk3)))) != composition(sk1,complement(join(complement(sk3),complement(sk2))))
| composition(sk1,complement(join(complement(sk2),complement(sk3)))) != join(complement(complement(composition(sk1,complement(join(complement(sk3),complement(sk2)))))),composition(sk1,complement(join(complement(sk2),complement(sk3))))) ),
inference(forward_demodulation,[],[f19358,f1964]) ).
fof(f19397,plain,
composition(sk1,complement(join(complement(sk2),complement(sk3)))) != join(complement(complement(composition(sk1,complement(join(complement(sk3),complement(sk2)))))),composition(sk1,complement(join(complement(sk2),complement(sk3))))),
inference(forward_subsumption_resolution,[],[f19386,f13952]) ).
fof(f19400,plain,
composition(sk1,complement(join(complement(sk2),complement(sk3)))) != join(composition(sk1,complement(join(complement(sk3),complement(sk2)))),composition(sk1,complement(join(complement(sk2),complement(sk3))))),
inference(forward_demodulation,[],[f19397,f1867]) ).
fof(f19403,plain,
composition(sk1,complement(join(complement(sk2),complement(sk3)))) != composition(sk1,join(complement(join(complement(sk3),complement(sk2))),complement(join(complement(sk2),complement(sk3))))),
inference(forward_demodulation,[],[f19400,f867]) ).
fof(f19406,plain,
composition(sk1,complement(join(complement(sk2),complement(sk3)))) != composition(sk1,join(complement(join(complement(sk2),complement(sk3))),complement(join(complement(sk3),complement(sk2))))),
inference(forward_demodulation,[],[f19403,f13039]) ).
fof(f19409,plain,
composition(sk1,complement(join(complement(sk2),complement(sk3)))) != composition(sk1,complement(join(complement(sk2),complement(sk3)))),
inference(forward_demodulation,[],[f19406,f7093]) ).
fof(f19410,plain,
$false,
inference(trivial_inequality_removal,[],[f19409]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL040-2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.43 % Computer : n016.cluster.edu
% 0.15/0.43 % Model : x86_64 x86_64
% 0.15/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.43 % Memory : 8046.5625MB
% 0.15/0.43 % OS : Linux 6.8.0-71-generic
% 0.15/0.43 % CPULimit : 300
% 0.15/0.43 % WCLimit : 300
% 0.15/0.43 % DateTime : Sun Sep 27 23:00:47 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.82/3.43 % (3087051)Input is clausal, will run a generic CNF schedule.
% 13.82/3.43 % (3087061)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1547935718:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 13.82/3.43 % (3087062)dis-21_1_sil=8000:lcm=predicate:random_seed=529604937: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)
% 13.82/3.43 % (3087062)Refutation not found, incomplete strategy
% 13.82/3.43 % (3087062)------------------------------
% 13.82/3.43 % (3087062)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.82/3.43 % (3087062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.82/3.43 % (3087062)CaDiCaL version: 2.1.3
% 13.82/3.43 % (3087062)Termination reason: Refutation not found, incomplete strategy
% 13.82/3.43 % (3087062)Time elapsed: 0.003 s
% 13.82/3.43 % (3087062)Peak memory usage: 88 MB
% 13.82/3.43 % (3087062)Instructions burned: 1 (million)
% 13.82/3.43 % (3087059)lrs+10_1_sil=8000:sp=occurrence:random_seed=3880648925:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 13.82/3.43 % (3087057)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2276011762:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 13.82/3.43 % (3087060)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4253357028:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 13.82/3.43 % (3087056)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=419659525:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 13.82/3.43 % (3087058)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1500871382:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 13.82/3.43 % (3087061)Instruction limit reached!
% 13.82/3.43 % (3087061)------------------------------
% 13.82/3.43 % (3087061)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.82/3.43 % (3087061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.82/3.43 % (3087061)CaDiCaL version: 2.1.3
% 13.82/3.43 % (3087061)Termination reason: Instruction limit
% 13.82/3.43 % (3087061)Termination phase: Saturation
% 13.82/3.43 % (3087061)Time elapsed: 0.085 s
% 13.82/3.43 % (3087061)Peak memory usage: 90 MB
% 13.82/3.43 % (3087061)Instructions burned: 182 (million)
% 13.82/3.43 % (3087059)Instruction limit reached!
% 13.82/3.43 % (3087059)------------------------------
% 13.82/3.43 % (3087059)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.82/3.43 % (3087059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.82/3.43 % (3087059)CaDiCaL version: 2.1.3
% 13.82/3.43 % (3087059)Termination reason: Instruction limit
% 13.82/3.43 % (3087059)Termination phase: Saturation
% 13.82/3.43 % (3087059)Time elapsed: 0.076 s
% 13.82/3.43 % (3087059)Peak memory usage: 89 MB
% 13.82/3.43 % (3087059)Instructions burned: 107 (million)
% 13.82/3.43 % (3087060)Instruction limit reached!
% 13.82/3.43 % (3087060)------------------------------
% 13.82/3.43 % (3087060)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.82/3.43 % (3087060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.82/3.43 % (3087060)CaDiCaL version: 2.1.3
% 13.82/3.43 % (3087060)Termination reason: Instruction limit
% 13.82/3.43 % (3087060)Termination phase: Saturation
% 13.82/3.43 % (3087060)Time elapsed: 0.110 s
% 13.82/3.43 % (3087060)Peak memory usage: 89 MB
% 13.82/3.43 % (3087060)Instructions burned: 114 (million)
% 13.82/3.43 % (3087071)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1585129305: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)
% 13.82/3.43 % (3087062)------------------------------
% 13.82/3.43 % (3087062)------------------------------
% 13.82/3.43 % (3087072)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=830836749:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 13.82/3.43 % (3087070)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=543971646:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 13.82/3.43 % (3087071)Instruction limit reached!
% 13.82/3.43 % (3087071)------------------------------
% 13.82/3.43 % (3087071)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.82/3.43 % (3087071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.82/3.43 % (3087071)CaDiCaL version: 2.1.3
% 13.82/3.43 % (3087071)Termination reason: Instruction limit
% 13.82/3.43 % (3087071)Termination phase: Saturation
% 13.82/3.43 % (3087071)Time elapsed: 0.138 s
% 13.82/3.43 % (3087071)Peak memory usage: 90 MB
% 13.82/3.43 % (3087071)Instructions burned: 189 (million)
% 13.82/3.43 % (3087072)Instruction limit reached!
% 13.82/3.43 % (3087072)------------------------------
% 13.82/3.43 % (3087072)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.82/3.43 % (3087072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.82/3.43 % (3087072)CaDiCaL version: 2.1.3
% 13.82/3.43 % (3087072)Termination reason: Instruction limit
% 13.82/3.43 % (3087072)Termination phase: Saturation
% 13.82/3.43 % (3087072)Time elapsed: 0.104 s
% 13.82/3.43 % (3087072)Peak memory usage: 90 MB
% 13.82/3.43 % (3087072)Instructions burned: 221 (million)
% 13.82/3.43 % (3087070)Instruction limit reached!
% 13.82/3.43 % (3087070)------------------------------
% 13.82/3.43 % (3087070)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.82/3.43 % (3087070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.82/3.43 % (3087070)CaDiCaL version: 2.1.3
% 13.82/3.43 % (3087070)Termination reason: Instruction limit
% 13.82/3.43 % (3087070)Termination phase: Saturation
% 13.82/3.43 % (3087070)Time elapsed: 0.134 s
% 13.82/3.43 % (3087070)Peak memory usage: 89 MB
% 13.82/3.43 % (3087070)Instructions burned: 143 (million)
% 13.82/3.43 % (3087077)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3573436834:avsq=on:i=194:fgj=on:bd=preordered_2993 on theBenchmark for (2993ds/194Mi)
% 13.82/3.43 % (3087076)lrs+10_64_to=lpo:sil=8000:random_seed=1954706955:i=126:bd=preordered_2994 on theBenchmark for (2994ds/126Mi)
% 13.82/3.43 % (3087078)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=616284700:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 13.82/3.43 % (3087076)Instruction limit reached!
% 13.82/3.43 % (3087076)------------------------------
% 13.82/3.43 % (3087076)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.82/3.43 % (3087076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.82/3.43 % (3087076)CaDiCaL version: 2.1.3
% 13.82/3.43 % (3087076)Termination reason: Instruction limit
% 13.82/3.43 % (3087076)Termination phase: Saturation
% 13.82/3.43 % (3087076)Time elapsed: 0.128 s
% 13.82/3.43 % (3087076)Peak memory usage: 89 MB
% 13.82/3.43 % (3087076)Instructions burned: 126 (million)
% 13.82/3.43 % (3087079)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=866119031:i=3394:sd=4:ss=included:sgt=64_2992 on theBenchmark for (2992ds/3394Mi)
% 13.82/3.43 % (3087078)Instruction limit reached!
% 13.82/3.43 % (3087078)------------------------------
% 13.82/3.43 % (3087078)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.82/3.43 % (3087078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.82/3.43 % (3087078)CaDiCaL version: 2.1.3
% 13.82/3.43 % (3087078)Termination reason: Instruction limit
% 13.82/3.43 % (3087078)Termination phase: Saturation
% 13.82/3.43 % (3087078)Time elapsed: 0.102 s
% 13.82/3.43 % (3087078)Peak memory usage: 91 MB
% 13.82/3.43 % (3087078)Instructions burned: 157 (million)
% 13.82/3.43 % (3087077)Instruction limit reached!
% 13.82/3.43 % (3087077)------------------------------
% 13.82/3.43 % (3087077)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.82/3.43 % (3087077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.82/3.43 % (3087077)CaDiCaL version: 2.1.3
% 13.82/3.43 % (3087077)Termination reason: Instruction limit
% 13.82/3.43 % (3087077)Termination phase: Saturation
% 13.82/3.43 % (3087077)Time elapsed: 0.193 s
% 13.82/3.43 % (3087077)Peak memory usage: 89 MB
% 13.82/3.43 % (3087077)Instructions burned: 194 (million)
% 13.82/3.43 % (3087083)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=3920633612:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2989 on theBenchmark for (2989ds/106Mi)
% 13.82/3.43 % (3087085)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3375139438:i=107_2989 on theBenchmark for (2989ds/107Mi)
% 13.82/3.43 % (3087086)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2817604004:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2989 on theBenchmark for (2989ds/242Mi)
% 13.82/3.43 % (3087083)Instruction limit reached!
% 13.82/3.43 % (3087083)------------------------------
% 13.82/3.43 % (3087083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.82/3.43 % (3087083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.82/3.43 % (3087083)CaDiCaL version: 2.1.3
% 13.82/3.43 % (3087083)Termination reason: Instruction limit
% 13.82/3.43 % (3087083)Termination phase: Saturation
% 13.82/3.43 % (3087083)Time elapsed: 0.096 s
% 13.82/3.43 % (3087083)Peak memory usage: 89 MB
% 13.82/3.43 % (3087083)Instructions burned: 107 (million)
% 13.82/3.43 % (3087085)Instruction limit reached!
% 13.82/3.43 % (3087085)------------------------------
% 13.82/3.43 % (3087085)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.82/3.43 % (3087085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.82/3.43 % (3087085)CaDiCaL version: 2.1.3
% 13.82/3.43 % (3087085)Termination reason: Instruction limit
% 13.82/3.43 % (3087085)Termination phase: Saturation
% 13.82/3.43 % (3087085)Time elapsed: 0.099 s
% 13.82/3.43 % (3087085)Peak memory usage: 88 MB
% 13.82/3.43 % (3087085)Instructions burned: 108 (million)
% 13.82/3.43 % (3087090)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2073814135:cond=fast:i=5208:av=off_2986 on theBenchmark for (2986ds/5208Mi)
% 13.82/3.43 % (3087086)Instruction limit reached!
% 13.82/3.43 % (3087086)------------------------------
% 13.82/3.43 % (3087086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.82/3.43 % (3087086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.82/3.43 % (3087086)CaDiCaL version: 2.1.3
% 13.82/3.43 % (3087086)Termination reason: Instruction limit
% 13.82/3.43 % (3087086)Termination phase: Saturation
% 13.82/3.43 % (3087086)Time elapsed: 0.218 s
% 13.82/3.43 % (3087086)Peak memory usage: 89 MB
% 13.82/3.43 % (3087086)Instructions burned: 242 (million)
% 13.82/3.43 % (3087091)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2668423069:i=134:sd=2:doe=on:ss=axioms:sgt=14_2985 on theBenchmark for (2985ds/134Mi)
% 13.82/3.43 % (3087091)Instruction limit reached!
% 13.82/3.43 % (3087091)------------------------------
% 13.82/3.43 % (3087091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.82/3.43 % (3087091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.82/3.43 % (3087091)CaDiCaL version: 2.1.3
% 13.82/3.43 % (3087091)Termination reason: Instruction limit
% 13.82/3.43 % (3087091)Termination phase: Saturation
% 13.82/3.43 % (3087091)Time elapsed: 0.125 s
% 13.82/3.43 % (3087091)Peak memory usage: 89 MB
% 13.82/3.43 % (3087091)Instructions burned: 137 (million)
% 13.82/3.43 % (3087093)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1915350482:i=499:bd=all_2984 on theBenchmark for (2984ds/499Mi)
% 13.82/3.43 % (3087057)First to succeed.
% 13.82/3.43 % (3087057)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3087051"
% 13.82/3.43 % (3087095)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1342890290:i=191:fgj=on:bd=all_2981 on theBenchmark for (2981ds/191Mi)
% 13.82/3.43 % (3087057)Refutation found. Thanks to Tanya!
% 13.82/3.43 % SZS status Unsatisfiable for theBenchmark
% 13.82/3.43 % SZS output start Proof for theBenchmark
% See solution above
% 16.71/3.67 % (3087057)------------------------------
% 16.71/3.67 % (3087057)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.71/3.67 % (3087057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.71/3.67 % (3087057)CaDiCaL version: 2.1.3
% 16.71/3.67 % (3087057)Termination reason: Refutation
% 16.71/3.67 % (3087057)Time elapsed: 1.655 s
% 16.71/3.67 % (3087057)Peak memory usage: 142 MB
% 16.71/3.67 % (3087057)Instructions burned: 2501 (million)
% 16.71/3.67 % (3087057)------------------------------
% 16.71/3.67 % (3087057)------------------------------
% 16.71/3.67 % (3087051)Success in time 2.253 s
% 16.71/3.67 % Vampire exiting
%------------------------------------------------------------------------------