%------------------------------------------------------------------------------
% 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 : n007.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 : Theorem 16.92s 3.94s
% Output : Refutation 20.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 81
% Number of leaves : 16
% Syntax : Number of formulae : 239 ( 215 unt; 2 def)
% Number of atoms : 267 ( 240 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 54 ( 26 ~; 20 |; 4 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 407 ( 0 sgn 404 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux1_join_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux2_join_associativity) ).
fof(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan) ).
fof(f4,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).
fof(f5,axiom,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_associativity) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_identity) ).
fof(f7,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_distributivity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_multiplicativity) ).
fof(f11,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_top) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_zero) ).
fof(f14,conjecture,
! [X0,X1,X2] :
( join(composition(converse(X0),X0),one) = one
=> ( join(composition(X0,meet(X1,X2)),meet(composition(X0,X1),composition(X0,X2))) = meet(composition(X0,X1),composition(X0,X2))
& join(meet(composition(X0,X1),composition(X0,X2)),composition(X0,meet(X1,X2))) = composition(X0,meet(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0,X1,X2] :
( join(composition(converse(X0),X0),one) = one
=> ( join(composition(X0,meet(X1,X2)),meet(composition(X0,X1),composition(X0,X2))) = meet(composition(X0,X1),composition(X0,X2))
& join(meet(composition(X0,X1),composition(X0,X2)),composition(X0,meet(X1,X2))) = composition(X0,meet(X1,X2)) ) ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
? [X0,X1,X2] :
( ( meet(composition(X0,X1),composition(X0,X2)) != join(composition(X0,meet(X1,X2)),meet(composition(X0,X1),composition(X0,X2)))
| composition(X0,meet(X1,X2)) != join(meet(composition(X0,X1),composition(X0,X2)),composition(X0,meet(X1,X2))) )
& join(composition(converse(X0),X0),one) = one ),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
( ( meet(composition(sK0,sK1),composition(sK0,sK2)) != join(composition(sK0,meet(sK1,sK2)),meet(composition(sK0,sK1),composition(sK0,sK2)))
| composition(sK0,meet(sK1,sK2)) != join(meet(composition(sK0,sK1),composition(sK0,sK2)),composition(sK0,meet(sK1,sK2))) )
& one = join(composition(converse(sK0),sK0),one) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f16]) ).
fof(f18,plain,
one = join(composition(converse(sK0),sK0),one),
inference(cnf_transformation,[],[f17]) ).
fof(f19,plain,
( meet(composition(sK0,sK1),composition(sK0,sK2)) != join(composition(sK0,meet(sK1,sK2)),meet(composition(sK0,sK1),composition(sK0,sK2)))
| composition(sK0,meet(sK1,sK2)) != join(meet(composition(sK0,sK1),composition(sK0,sK2)),composition(sK0,meet(sK1,sK2))) ),
inference(cnf_transformation,[],[f17]) ).
fof(f20,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f21,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f22,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f23,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f24,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f25,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f26,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f27,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f28,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f29,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f30,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f31,plain,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f32,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f33,plain,
( complement(join(complement(composition(sK0,sK1)),complement(composition(sK0,sK2)))) != join(composition(sK0,complement(join(complement(sK1),complement(sK2)))),complement(join(complement(composition(sK0,sK1)),complement(composition(sK0,sK2)))))
| composition(sK0,complement(join(complement(sK1),complement(sK2)))) != join(complement(join(complement(composition(sK0,sK1)),complement(composition(sK0,sK2)))),composition(sK0,complement(join(complement(sK1),complement(sK2))))) ),
inference(definition_unfolding,[],[f19,f24,f24,f24,f24,f24,f24]) ).
fof(f34,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f28,f24]) ).
fof(f35,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f25,f27]) ).
fof(f36,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(forward_demodulation,[],[f21,f27]) ).
fof(f37,plain,
one = join(one,composition(converse(sK0),sK0)),
inference(forward_demodulation,[],[f18,f27]) ).
fof(f38,plain,
( composition(sK0,complement(join(complement(sK1),complement(sK2)))) != join(composition(sK0,complement(join(complement(sK1),complement(sK2)))),complement(join(complement(composition(sK0,sK1)),complement(composition(sK0,sK2)))))
| complement(join(complement(composition(sK0,sK1)),complement(composition(sK0,sK2)))) != join(composition(sK0,complement(join(complement(sK1),complement(sK2)))),complement(join(complement(composition(sK0,sK1)),complement(composition(sK0,sK2))))) ),
inference(forward_demodulation,[],[f33,f27]) ).
fof(f40,definition,
( spl3_1
<=> complement(join(complement(composition(sK0,sK1)),complement(composition(sK0,sK2)))) = join(composition(sK0,complement(join(complement(sK1),complement(sK2)))),complement(join(complement(composition(sK0,sK1)),complement(composition(sK0,sK2))))) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f41,plain,
( complement(join(complement(composition(sK0,sK1)),complement(composition(sK0,sK2)))) != join(composition(sK0,complement(join(complement(sK1),complement(sK2)))),complement(join(complement(composition(sK0,sK1)),complement(composition(sK0,sK2)))))
| spl3_1 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f43,definition,
( spl3_2
<=> composition(sK0,complement(join(complement(sK1),complement(sK2)))) = join(composition(sK0,complement(join(complement(sK1),complement(sK2)))),complement(join(complement(composition(sK0,sK1)),complement(composition(sK0,sK2))))) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f44,plain,
( composition(sK0,complement(join(complement(sK1),complement(sK2)))) != join(composition(sK0,complement(join(complement(sK1),complement(sK2)))),complement(join(complement(composition(sK0,sK1)),complement(composition(sK0,sK2)))))
| spl3_2 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f45,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f38,f43,f40]) ).
fof(f57,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1)))),complement(X0)),
inference(superposition,[],[f35,f35]) ).
fof(f59,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(superposition,[],[f35,f27]) ).
fof(f60,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),complement(join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1))))),
inference(forward_demodulation,[],[f57,f27]) ).
fof(f62,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f29,f32]) ).
fof(f64,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f23,f29]) ).
fof(f65,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f22,f32]) ).
fof(f72,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X1,join(X0,X2)),
inference(superposition,[],[f26,f27]) ).
fof(f74,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(complement(join(complement(X0),complement(X1))),X2)),
inference(superposition,[],[f26,f35]) ).
fof(f81,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f27,f26]) ).
fof(f87,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f62,f30]) ).
fof(f95,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f87,f32]) ).
fof(f105,plain,
! [X0,X1] : composition(join(converse(one),X1),X0) = join(X0,composition(X1,X0)),
inference(superposition,[],[f23,f95]) ).
fof(f106,plain,
one = converse(one),
inference(superposition,[],[f30,f95]) ).
fof(f107,plain,
! [X0,X1] : join(X0,composition(X1,X0)) = composition(join(one,X1),X0),
inference(forward_demodulation,[],[f105,f106]) ).
fof(f110,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(X0,complement(composition(converse(X0),X1)))),
inference(superposition,[],[f36,f32]) ).
fof(f117,plain,
! [X2,X0,X1] : join(complement(X0),join(composition(converse(X1),complement(composition(X1,X0))),X2)) = join(complement(X0),X2),
inference(superposition,[],[f26,f36]) ).
fof(f124,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f26,f20]) ).
fof(f125,plain,
! [X0,X1] : top = join(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f26,f20]) ).
fof(f187,plain,
! [X0] : composition(join(one,converse(one)),X0) = join(X0,X0),
inference(superposition,[],[f107,f95]) ).
fof(f190,plain,
! [X0] : composition(one,X0) = join(X0,composition(composition(converse(sK0),sK0),X0)),
inference(superposition,[],[f107,f37]) ).
fof(f209,plain,
! [X0] : composition(one,X0) = join(X0,composition(converse(sK0),composition(sK0,X0))),
inference(forward_demodulation,[],[f190,f31]) ).
fof(f210,plain,
! [X0] : join(X0,X0) = composition(join(one,one),X0),
inference(forward_demodulation,[],[f187,f106]) ).
fof(f324,plain,
zero = complement(top),
inference(superposition,[],[f34,f20]) ).
fof(f402,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f65,f20]) ).
fof(f530,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f95,f106]) ).
fof(f561,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(converse(one),X0))),
inference(superposition,[],[f110,f530]) ).
fof(f570,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(complement(X0),join(composition(X1,complement(composition(converse(X1),X0))),X2)),
inference(superposition,[],[f26,f110]) ).
fof(f576,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f561,f95]) ).
fof(f593,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,[],[f74,f576]) ).
fof(f597,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f593,f35]) ).
fof(f633,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(superposition,[],[f597,f60]) ).
fof(f636,plain,
! [X0] : join(X0,complement(complement(X0))) = X0,
inference(superposition,[],[f597,f597]) ).
fof(f639,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f597,f34]) ).
fof(f689,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(join(complement(X0),X2),complement(join(X0,X1))),
inference(superposition,[],[f633,f74]) ).
fof(f691,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f633,f27]) ).
fof(f693,plain,
! [X2,X0,X1] : join(X1,complement(join(X0,join(complement(X1),X2)))) = X1,
inference(superposition,[],[f633,f81]) ).
fof(f705,plain,
! [X0,X1] : join(complement(X0),join(complement(complement(X0)),X1)) = join(complement(X0),complement(join(complement(join(complement(X0),join(complement(complement(X0)),X1))),complement(X0)))),
inference(superposition,[],[f60,f633]) ).
fof(f723,plain,
! [X0,X1] : join(complement(X0),join(complement(complement(X0)),X1)) = join(complement(X0),complement(join(complement(X0),complement(join(complement(X0),join(complement(complement(X0)),X1)))))),
inference(forward_demodulation,[],[f705,f27]) ).
fof(f726,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(complement(X0),join(X2,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f689,f26]) ).
fof(f733,plain,
! [X0,X1] : join(complement(X0),complement(complement(X0))) = join(complement(X0),join(complement(complement(X0)),X1)),
inference(forward_demodulation,[],[f723,f693]) ).
fof(f735,plain,
! [X0,X1] : join(complement(X0),complement(complement(X0))) = join(top,X1),
inference(forward_demodulation,[],[f733,f124]) ).
fof(f737,plain,
! [X1] : top = join(top,X1),
inference(forward_demodulation,[],[f735,f20]) ).
fof(f764,plain,
! [X0,X1] : join(X0,X1) = join(complement(join(complement(X0),complement(complement(X0)))),join(complement(complement(X0)),X1)),
inference(superposition,[],[f74,f636]) ).
fof(f779,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(X1,complement(join(complement(X0),complement(complement(X0)))))),
inference(forward_demodulation,[],[f764,f81]) ).
fof(f785,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),X1),
inference(forward_demodulation,[],[f779,f726]) ).
fof(f857,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f27,f639]) ).
fof(f895,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(complement(X0)),complement(X1)))),
inference(superposition,[],[f35,f785]) ).
fof(f910,plain,
! [X0,X1] : join(X0,X1) = join(X1,complement(complement(X0))),
inference(superposition,[],[f27,f785]) ).
fof(f920,plain,
! [X0] : complement(complement(X0)) = join(X0,zero),
inference(superposition,[],[f639,f785]) ).
fof(f921,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f920,f639]) ).
fof(f935,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(X0,complement(X1)))),
inference(forward_demodulation,[],[f895,f785]) ).
fof(f967,plain,
top = complement(zero),
inference(superposition,[],[f921,f324]) ).
fof(f982,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f576,f921]) ).
fof(f1066,plain,
! [X0,X1] : complement(X1) = join(complement(join(X0,X1)),complement(join(X1,complement(X0)))),
inference(superposition,[],[f935,f27]) ).
fof(f1074,plain,
! [X0,X1] : complement(X1) = join(complement(join(X0,X1)),complement(join(X1,complement(complement(complement(X0)))))),
inference(superposition,[],[f935,f910]) ).
fof(f1118,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(join(complement(join(X0,complement(X1))),join(X0,X1))),complement(complement(X0))),
inference(superposition,[],[f59,f935]) ).
fof(f1141,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(complement(X0)),complement(join(complement(join(X0,complement(X1))),join(X0,X1)))),
inference(forward_demodulation,[],[f1118,f27]) ).
fof(f1169,plain,
! [X0,X1] : complement(X1) = join(complement(join(X0,X1)),complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f1074,f910]) ).
fof(f1179,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(complement(join(X0,complement(X1))),join(X0,X1)))),
inference(forward_demodulation,[],[f1141,f785]) ).
fof(f1203,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(join(X0,X1),complement(join(X0,complement(X1)))))),
inference(forward_demodulation,[],[f1179,f27]) ).
fof(f1220,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,join(X1,complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f1203,f26]) ).
fof(f1231,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f1220,f691]) ).
fof(f1240,plain,
! [X0,X1] : join(X1,complement(join(X0,X1))) = join(X1,complement(X0)),
inference(superposition,[],[f1231,f27]) ).
fof(f1249,plain,
! [X0,X1] : join(X1,complement(join(X0,X1))) = join(X1,complement(complement(complement(X0)))),
inference(superposition,[],[f1231,f910]) ).
fof(f1324,plain,
! [X0,X1] : join(complement(X0),X1) = join(X1,complement(join(X0,X1))),
inference(forward_demodulation,[],[f1249,f910]) ).
fof(f1408,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,X1))),
inference(superposition,[],[f1324,f27]) ).
fof(f2972,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = join(X0,complement(converse(top))),
inference(superposition,[],[f1231,f402]) ).
fof(f2988,plain,
top = converse(top),
inference(superposition,[],[f737,f402]) ).
fof(f3004,plain,
! [X0] : join(X0,complement(top)) = join(X0,complement(converse(complement(converse(X0))))),
inference(forward_demodulation,[],[f2972,f2988]) ).
fof(f3030,plain,
! [X0] : join(X0,zero) = join(X0,complement(converse(complement(converse(X0))))),
inference(forward_demodulation,[],[f3004,f324]) ).
fof(f3048,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = X0,
inference(forward_demodulation,[],[f3030,f639]) ).
fof(f3092,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(complement(join(complement(converse(complement(converse(complement(X0))))),X0)),complement(complement(X0))),
inference(superposition,[],[f59,f3048]) ).
fof(f3104,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(complement(converse(complement(converse(converse(X0))))))),
inference(superposition,[],[f65,f3048]) ).
fof(f3105,plain,
! [X0] : join(X0,converse(complement(converse(complement(X0))))) = X0,
inference(forward_demodulation,[],[f3104,f32]) ).
fof(f3115,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(complement(complement(X0)),complement(join(complement(converse(complement(converse(complement(X0))))),X0))),
inference(forward_demodulation,[],[f3092,f27]) ).
fof(f3131,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(X0,complement(join(complement(converse(complement(converse(complement(X0))))),X0))),
inference(forward_demodulation,[],[f3115,f785]) ).
fof(f3137,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(X0,complement(complement(converse(complement(converse(complement(X0))))))),
inference(forward_demodulation,[],[f3131,f1240]) ).
fof(f3143,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(converse(complement(converse(complement(X0)))),X0),
inference(forward_demodulation,[],[f3137,f910]) ).
fof(f3148,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(X0,converse(complement(converse(complement(X0))))),
inference(forward_demodulation,[],[f3143,f27]) ).
fof(f3151,plain,
! [X0] : converse(complement(converse(complement(X0)))) = X0,
inference(forward_demodulation,[],[f3148,f3105]) ).
fof(f3155,plain,
! [X0] : complement(X0) = join(complement(X0),converse(complement(converse(X0)))),
inference(superposition,[],[f3105,f921]) ).
fof(f4146,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f64,f29]) ).
fof(f4168,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f4146,f22]) ).
fof(f4184,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f4168,f22]) ).
fof(f4193,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f4184,f29]) ).
fof(f4220,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f32,f4193]) ).
fof(f4232,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f4220,f32]) ).
fof(f4289,plain,
! [X2,X3,X0,X1] : join(composition(X0,join(X1,X2)),X3) = join(composition(X0,X1),join(composition(X0,X2),X3)),
inference(superposition,[],[f26,f4232]) ).
fof(f4298,plain,
! [X2,X0,X1] : join(composition(X0,X1),complement(composition(X0,X2))) = join(composition(X0,X1),complement(composition(X0,join(X1,X2)))),
inference(superposition,[],[f1231,f4232]) ).
fof(f4301,plain,
! [X2,X0,X1] : join(complement(composition(X0,X2)),composition(X0,X1)) = join(composition(X0,X1),complement(composition(X0,join(X1,X2)))),
inference(superposition,[],[f1408,f4232]) ).
fof(f5513,plain,
! [X0,X1] : complement(join(X0,complement(join(X1,X0)))) = join(complement(top),complement(join(join(X0,complement(join(X1,X0))),complement(X1)))),
inference(superposition,[],[f1066,f125]) ).
fof(f5558,plain,
! [X0,X1] : complement(join(X0,complement(join(X1,X0)))) = join(complement(top),complement(join(complement(X1),join(X0,complement(join(X1,X0)))))),
inference(forward_demodulation,[],[f5513,f27]) ).
fof(f5624,plain,
! [X0,X1] : complement(join(X0,complement(join(X1,X0)))) = join(complement(top),complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f5558,f726]) ).
fof(f5674,plain,
! [X0,X1] : complement(join(X0,complement(join(X1,X0)))) = join(zero,complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f5624,f324]) ).
fof(f5707,plain,
! [X0,X1] : complement(join(complement(X1),X0)) = complement(join(X0,complement(join(X1,X0)))),
inference(forward_demodulation,[],[f5674,f857]) ).
fof(f5723,plain,
! [X0,X1] : complement(join(complement(X1),X0)) = complement(join(X0,complement(X1))),
inference(forward_demodulation,[],[f5707,f1240]) ).
fof(f5748,plain,
! [X0,X1] : complement(join(X0,X1)) = complement(join(X1,X0)),
inference(superposition,[],[f5723,f921]) ).
fof(f6018,plain,
! [X0] : complement(X0) = converse(complement(converse(X0))),
inference(superposition,[],[f3151,f921]) ).
fof(f6603,plain,
! [X2,X0,X1] : complement(composition(X0,join(X1,X2))) = complement(join(composition(X0,X2),composition(X0,X1))),
inference(superposition,[],[f5748,f4232]) ).
fof(f6788,plain,
! [X2,X0,X1] : complement(composition(X0,join(X1,X2))) = complement(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f6603,f4232]) ).
fof(f7020,plain,
! [X0,X1] : join(composition(X0,X1),complement(composition(X0,top))) = join(composition(X0,X1),complement(composition(X0,complement(X1)))),
inference(superposition,[],[f4298,f20]) ).
fof(f7028,plain,
! [X2,X0,X1] : join(composition(X2,X0),complement(composition(X2,join(X0,complement(X1))))) = join(composition(X2,X0),complement(composition(X2,complement(join(X0,X1))))),
inference(superposition,[],[f4298,f1231]) ).
fof(f7137,plain,
! [X2,X0,X1] : join(composition(X2,X0),complement(composition(X2,complement(join(X0,X1))))) = join(complement(composition(X2,complement(X1))),composition(X2,X0)),
inference(forward_demodulation,[],[f7028,f4301]) ).
fof(f7232,plain,
! [X2,X0,X1] : join(composition(X2,join(X1,X0)),complement(composition(X2,top))) = join(composition(X2,join(X1,X0)),complement(composition(X2,complement(join(X0,X1))))),
inference(superposition,[],[f7020,f5748]) ).
fof(f7283,plain,
! [X2,X0,X1] : join(composition(X2,join(X1,X0)),complement(composition(X2,complement(join(X0,X1))))) = join(complement(composition(X2,top)),composition(X2,join(X1,X0))),
inference(forward_demodulation,[],[f7232,f27]) ).
fof(f8934,plain,
! [X0,X1] : complement(join(X0,X1)) = join(complement(join(X0,X1)),converse(complement(converse(join(X1,X0))))),
inference(superposition,[],[f3155,f5748]) ).
fof(f9019,plain,
! [X0,X1] : complement(join(X0,X1)) = join(complement(join(X0,X1)),complement(join(X1,X0))),
inference(forward_demodulation,[],[f8934,f6018]) ).
fof(f12304,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(composition(converse(X1),complement(composition(X1,X0))),join(complement(X0),X2)),
inference(superposition,[],[f72,f36]) ).
fof(f12491,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(complement(X0),join(X2,composition(converse(X1),complement(composition(X1,X0))))),
inference(forward_demodulation,[],[f12304,f81]) ).
fof(f14275,plain,
! [X2,X0,X1] : complement(composition(X2,complement(join(X0,X1)))) = complement(composition(X2,join(complement(join(X1,X0)),complement(join(X0,X1))))),
inference(superposition,[],[f6788,f9019]) ).
fof(f14402,plain,
! [X2,X0,X1] : composition(X0,join(X2,X1)) = converse(complement(converse(complement(composition(X0,join(X1,X2)))))),
inference(superposition,[],[f3151,f6788]) ).
fof(f14414,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = composition(X0,join(X2,X1)),
inference(forward_demodulation,[],[f14402,f3151]) ).
fof(f14479,plain,
! [X2,X0,X1] : complement(composition(X2,complement(join(X1,X0)))) = complement(composition(X2,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f14275,f9019]) ).
fof(f14567,plain,
! [X2,X0,X1] : composition(X2,complement(join(X0,X1))) = composition(X2,join(complement(join(X1,X0)),complement(join(X0,X1)))),
inference(superposition,[],[f14414,f9019]) ).
fof(f14699,plain,
! [X2,X0,X1] : composition(X2,complement(join(X1,X0))) = composition(X2,complement(join(X0,X1))),
inference(forward_demodulation,[],[f14567,f9019]) ).
fof(f14811,plain,
! [X2,X3,X0,X1] : composition(X0,join(X3,complement(join(X2,X1)))) = join(composition(X0,X3),composition(X0,complement(join(X1,X2)))),
inference(superposition,[],[f4232,f14699]) ).
fof(f14842,plain,
! [X2,X3,X0,X1] : composition(X0,join(X3,complement(join(X2,X1)))) = composition(X0,join(X3,complement(join(X1,X2)))),
inference(forward_demodulation,[],[f14811,f4232]) ).
fof(f15293,plain,
! [X0,X1] : join(composition(X1,X0),complement(composition(X1,complement(X0)))) = join(complement(composition(X1,complement(zero))),composition(X1,X0)),
inference(superposition,[],[f7137,f639]) ).
fof(f15447,plain,
! [X0,X1] : join(composition(X1,X0),complement(composition(X1,complement(X0)))) = join(complement(composition(X1,top)),composition(X1,X0)),
inference(forward_demodulation,[],[f15293,f967]) ).
fof(f15944,plain,
! [X0,X1] : join(complement(X1),complement(composition(converse(X0),complement(complement(composition(X0,X1)))))) = join(complement(X1),join(complement(composition(converse(X0),top)),composition(converse(X0),complement(composition(X0,X1))))),
inference(superposition,[],[f117,f15447]) ).
fof(f16088,plain,
! [X0,X1] : join(complement(X1),complement(composition(converse(X0),complement(complement(composition(X0,X1)))))) = join(complement(X1),complement(composition(converse(X0),top))),
inference(forward_demodulation,[],[f15944,f12491]) ).
fof(f16145,plain,
! [X0,X1] : join(complement(X1),complement(composition(converse(X0),top))) = join(complement(X1),complement(composition(converse(X0),composition(X0,X1)))),
inference(forward_demodulation,[],[f16088,f921]) ).
fof(f24336,plain,
! [X0,X1] : join(X1,composition(one,X0)) = join(X0,join(composition(converse(sK0),composition(sK0,X0)),X1)),
inference(superposition,[],[f81,f209]) ).
fof(f24345,plain,
! [X0] : complement(composition(converse(sK0),composition(sK0,X0))) = join(complement(composition(one,X0)),complement(join(complement(X0),composition(converse(sK0),composition(sK0,X0))))),
inference(superposition,[],[f1169,f209]) ).
fof(f24445,plain,
! [X0] : complement(composition(converse(sK0),composition(sK0,X0))) = join(complement(X0),complement(join(complement(X0),composition(converse(sK0),composition(sK0,X0))))),
inference(forward_demodulation,[],[f24345,f530]) ).
fof(f24453,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(composition(converse(sK0),composition(sK0,X0)),X1)),
inference(forward_demodulation,[],[f24336,f530]) ).
fof(f24514,plain,
! [X0] : complement(composition(converse(sK0),composition(sK0,X0))) = join(complement(X0),complement(composition(converse(sK0),composition(sK0,X0)))),
inference(forward_demodulation,[],[f24445,f1231]) ).
fof(f24553,plain,
! [X0] : complement(composition(converse(sK0),composition(sK0,X0))) = join(complement(X0),complement(composition(converse(sK0),top))),
inference(forward_demodulation,[],[f24514,f16145]) ).
fof(f25679,plain,
! [X0] : complement(composition(converse(sK0),composition(sK0,X0))) = join(complement(composition(converse(sK0),top)),complement(X0)),
inference(superposition,[],[f27,f24553]) ).
fof(f26872,plain,
! [X2,X0,X1] : join(complement(X1),composition(X0,X2)) = join(complement(X1),composition(X0,join(complement(composition(converse(X0),X1)),X2))),
inference(superposition,[],[f570,f4232]) ).
fof(f27263,plain,
! [X0] : join(complement(top),composition(sK0,complement(X0))) = join(complement(top),composition(sK0,complement(composition(converse(sK0),composition(sK0,X0))))),
inference(superposition,[],[f26872,f25679]) ).
fof(f27319,plain,
! [X2,X3,X0,X1] : join(complement(X1),composition(X0,complement(join(X3,X2)))) = join(complement(X1),composition(X0,join(complement(composition(converse(X0),X1)),complement(join(X2,X3))))),
inference(superposition,[],[f26872,f14842]) ).
fof(f27432,plain,
! [X2,X3,X0,X1] : join(complement(X1),composition(X0,complement(join(X3,X2)))) = join(complement(X1),composition(X0,complement(join(X2,X3)))),
inference(forward_demodulation,[],[f27319,f26872]) ).
fof(f27472,plain,
! [X0] : join(zero,composition(sK0,complement(X0))) = join(zero,composition(sK0,complement(composition(converse(sK0),composition(sK0,X0))))),
inference(forward_demodulation,[],[f27263,f324]) ).
fof(f27547,plain,
! [X0] : composition(sK0,complement(composition(converse(sK0),composition(sK0,X0)))) = join(zero,composition(sK0,complement(X0))),
inference(forward_demodulation,[],[f27472,f857]) ).
fof(f27580,plain,
! [X0] : composition(sK0,complement(X0)) = composition(sK0,complement(composition(converse(sK0),composition(sK0,X0)))),
inference(forward_demodulation,[],[f27547,f857]) ).
fof(f28103,plain,
! [X2,X3,X0,X1] : join(X0,composition(X1,complement(join(X2,X3)))) = join(X0,composition(X1,complement(join(X3,X2)))),
inference(superposition,[],[f27432,f921]) ).
fof(f28479,plain,
! [X0] : composition(sK0,complement(complement(composition(converse(sK0),composition(sK0,X0))))) = composition(sK0,complement(composition(converse(sK0),composition(sK0,complement(X0))))),
inference(superposition,[],[f27580,f27580]) ).
fof(f28497,plain,
! [X0] : complement(composition(sK0,X0)) = join(complement(composition(sK0,X0)),composition(sK0,complement(X0))),
inference(superposition,[],[f110,f27580]) ).
fof(f28556,plain,
! [X0] : composition(sK0,complement(complement(X0))) = composition(sK0,complement(complement(composition(converse(sK0),composition(sK0,X0))))),
inference(forward_demodulation,[],[f28479,f27580]) ).
fof(f28571,plain,
! [X0] : composition(sK0,complement(complement(X0))) = composition(sK0,composition(converse(sK0),composition(sK0,X0))),
inference(forward_demodulation,[],[f28556,f921]) ).
fof(f28580,plain,
! [X0] : composition(sK0,X0) = composition(sK0,composition(converse(sK0),composition(sK0,X0))),
inference(forward_demodulation,[],[f28571,f921]) ).
fof(f28594,plain,
! [X0,X1] : complement(composition(sK0,complement(join(X0,X1)))) = join(complement(composition(sK0,complement(join(X0,X1)))),composition(sK0,complement(complement(join(X1,X0))))),
inference(superposition,[],[f28497,f14699]) ).
fof(f28606,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(complement(composition(sK0,complement(X0))),composition(sK0,X0)),
inference(superposition,[],[f28497,f921]) ).
fof(f28705,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(composition(sK0,X0),complement(composition(sK0,complement(X0)))),
inference(forward_demodulation,[],[f28606,f27]) ).
fof(f28716,plain,
! [X0,X1] : complement(composition(sK0,complement(join(X0,X1)))) = join(complement(composition(sK0,complement(join(X0,X1)))),composition(sK0,join(X1,X0))),
inference(forward_demodulation,[],[f28594,f921]) ).
fof(f28746,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(composition(sK0,X0),complement(composition(sK0,top))),
inference(forward_demodulation,[],[f28705,f7020]) ).
fof(f28749,plain,
! [X0,X1] : complement(composition(sK0,complement(join(X0,X1)))) = join(composition(sK0,join(X1,X0)),complement(composition(sK0,complement(join(X0,X1))))),
inference(forward_demodulation,[],[f28716,f27]) ).
fof(f28769,plain,
! [X0,X1] : complement(composition(sK0,complement(join(X0,X1)))) = join(complement(composition(sK0,top)),composition(sK0,join(X1,X0))),
inference(forward_demodulation,[],[f28749,f7283]) ).
fof(f28799,plain,
! [X0,X1] : join(composition(sK0,join(X1,X0)),complement(composition(sK0,top))) = join(composition(sK0,X1),complement(composition(sK0,complement(X0)))),
inference(superposition,[],[f4289,f28746]) ).
fof(f28901,plain,
! [X0,X1] : join(complement(composition(sK0,top)),composition(sK0,join(X1,X0))) = join(composition(sK0,X1),complement(composition(sK0,complement(X0)))),
inference(forward_demodulation,[],[f28799,f27]) ).
fof(f28951,plain,
! [X0,X1] : complement(composition(sK0,complement(join(X0,X1)))) = join(composition(sK0,X1),complement(composition(sK0,complement(X0)))),
inference(forward_demodulation,[],[f28901,f28769]) ).
fof(f29299,plain,
! [X0,X1] : join(composition(sK0,X0),complement(composition(sK0,complement(join(composition(converse(sK0),composition(sK0,X0)),X1))))) = join(complement(composition(sK0,complement(X1))),composition(sK0,X0)),
inference(superposition,[],[f7137,f28580]) ).
fof(f29305,plain,
! [X0,X1] : join(complement(composition(sK0,complement(X1))),composition(sK0,X0)) = complement(composition(sK0,complement(join(join(composition(converse(sK0),composition(sK0,X0)),X1),X0)))),
inference(forward_demodulation,[],[f29299,f28951]) ).
fof(f29327,plain,
! [X0,X1] : join(complement(composition(sK0,complement(X1))),composition(sK0,X0)) = complement(composition(sK0,complement(join(X0,join(composition(converse(sK0),composition(sK0,X0)),X1))))),
inference(forward_demodulation,[],[f29305,f14479]) ).
fof(f29336,plain,
! [X0,X1] : complement(composition(sK0,complement(join(X1,X0)))) = join(complement(composition(sK0,complement(X1))),composition(sK0,X0)),
inference(forward_demodulation,[],[f29327,f24453]) ).
fof(f29345,plain,
! [X0,X1] : complement(composition(sK0,complement(join(complement(X0),X1)))) = join(complement(composition(sK0,X0)),composition(sK0,X1)),
inference(superposition,[],[f29336,f921]) ).
fof(f29414,plain,
! [X0,X1] : join(complement(composition(sK0,complement(X0))),complement(composition(sK0,X1))) = join(complement(composition(sK0,complement(X0))),complement(complement(composition(sK0,complement(join(X0,X1)))))),
inference(superposition,[],[f1231,f29336]) ).
fof(f29473,plain,
! [X0,X1] : join(complement(composition(sK0,complement(X0))),complement(composition(sK0,X1))) = join(composition(sK0,complement(join(X0,X1))),complement(composition(sK0,complement(X0)))),
inference(forward_demodulation,[],[f29414,f910]) ).
fof(f29548,plain,
! [X0,X1] : join(complement(composition(sK0,complement(X0))),complement(composition(sK0,X1))) = join(complement(composition(sK0,complement(X0))),composition(sK0,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f29473,f27]) ).
fof(f29590,plain,
! [X0,X1] : join(complement(composition(sK0,complement(X0))),complement(composition(sK0,X1))) = complement(composition(sK0,complement(join(X0,complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f29548,f29336]) ).
fof(f29625,plain,
! [X0,X1] : complement(composition(sK0,complement(join(X0,complement(X1))))) = join(complement(composition(sK0,complement(X0))),complement(composition(sK0,X1))),
inference(forward_demodulation,[],[f29590,f1231]) ).
fof(f29701,plain,
! [X0,X1] : complement(composition(sK0,complement(join(complement(X0),complement(X1))))) = join(complement(composition(sK0,X0)),complement(composition(sK0,X1))),
inference(superposition,[],[f29625,f921]) ).
fof(f29781,plain,
! [X0,X1] : join(complement(composition(sK0,X1)),complement(complement(composition(sK0,complement(join(X0,complement(X1))))))) = join(complement(complement(composition(sK0,complement(X0)))),complement(composition(sK0,X1))),
inference(superposition,[],[f1324,f29625]) ).
fof(f29838,plain,
! [X0,X1] : join(composition(sK0,complement(X0)),complement(composition(sK0,X1))) = join(complement(composition(sK0,X1)),complement(complement(composition(sK0,complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f29781,f785]) ).
fof(f29921,plain,
! [X0,X1] : join(composition(sK0,complement(X0)),complement(composition(sK0,X1))) = join(composition(sK0,complement(join(X0,complement(X1)))),complement(composition(sK0,X1))),
inference(forward_demodulation,[],[f29838,f910]) ).
fof(f29982,plain,
! [X0,X1] : join(composition(sK0,complement(X0)),complement(composition(sK0,X1))) = join(complement(composition(sK0,X1)),composition(sK0,complement(join(X0,complement(X1))))),
inference(forward_demodulation,[],[f29921,f27]) ).
fof(f30033,plain,
! [X0,X1] : join(composition(sK0,complement(X0)),complement(composition(sK0,X1))) = complement(composition(sK0,complement(join(complement(X1),complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f29982,f29345]) ).
fof(f30067,plain,
! [X0,X1] : join(composition(sK0,complement(X0)),complement(composition(sK0,X1))) = complement(composition(sK0,complement(join(complement(X1),complement(X0))))),
inference(forward_demodulation,[],[f30033,f1240]) ).
fof(f30151,plain,
! [X0,X1] : join(composition(sK0,X0),complement(composition(sK0,X1))) = complement(composition(sK0,complement(join(complement(X1),X0)))),
inference(superposition,[],[f30067,f921]) ).
fof(f30505,plain,
! [X0,X1] : join(composition(sK0,X0),complement(composition(sK0,X1))) = complement(composition(sK0,complement(join(complement(join(X0,X1)),X0)))),
inference(superposition,[],[f4298,f30151]) ).
fof(f30614,plain,
! [X0,X1] : join(composition(sK0,X0),complement(composition(sK0,X1))) = complement(composition(sK0,complement(join(X0,complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f30505,f14479]) ).
fof(f30691,plain,
! [X0,X1] : join(composition(sK0,X0),complement(composition(sK0,X1))) = complement(composition(sK0,complement(join(X0,complement(X1))))),
inference(forward_demodulation,[],[f30614,f1231]) ).
fof(f30859,plain,
! [X0,X1] : join(complement(composition(sK0,X0)),complement(composition(sK0,X1))) = join(complement(composition(sK0,X1)),complement(complement(composition(sK0,complement(join(X0,complement(X1))))))),
inference(superposition,[],[f1324,f30691]) ).
fof(f30926,plain,
! [X0,X1] : join(complement(composition(sK0,X0)),complement(composition(sK0,X1))) = join(composition(sK0,complement(join(X0,complement(X1)))),complement(composition(sK0,X1))),
inference(forward_demodulation,[],[f30859,f910]) ).
fof(f31009,plain,
! [X0,X1] : join(complement(composition(sK0,X0)),complement(composition(sK0,X1))) = join(complement(composition(sK0,X1)),composition(sK0,complement(join(X0,complement(X1))))),
inference(forward_demodulation,[],[f30926,f27]) ).
fof(f31060,plain,
! [X0,X1] : join(complement(composition(sK0,X0)),complement(composition(sK0,X1))) = complement(composition(sK0,complement(join(complement(X1),complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f31009,f29345]) ).
fof(f31089,plain,
! [X0,X1] : join(complement(composition(sK0,X0)),complement(composition(sK0,X1))) = complement(composition(sK0,complement(join(complement(X1),complement(X0))))),
inference(forward_demodulation,[],[f31060,f1240]) ).
fof(f31181,plain,
( complement(complement(composition(sK0,complement(join(complement(sK2),complement(sK1)))))) != join(composition(sK0,complement(join(complement(sK1),complement(sK2)))),complement(complement(composition(sK0,complement(join(complement(sK2),complement(sK1)))))))
| spl3_1 ),
inference(superposition,[],[f41,f31089]) ).
fof(f31329,plain,
( complement(complement(composition(sK0,complement(join(complement(sK2),complement(sK1)))))) != join(composition(sK0,complement(join(complement(sK2),complement(sK1)))),composition(sK0,complement(join(complement(sK1),complement(sK2)))))
| spl3_1 ),
inference(forward_demodulation,[],[f31181,f910]) ).
fof(f31408,plain,
( complement(complement(composition(sK0,complement(join(complement(sK2),complement(sK1)))))) != join(composition(sK0,complement(join(complement(sK1),complement(sK2)))),composition(sK0,complement(join(complement(sK2),complement(sK1)))))
| spl3_1 ),
inference(forward_demodulation,[],[f31329,f27]) ).
fof(f31466,plain,
( complement(complement(composition(sK0,complement(join(complement(sK2),complement(sK1)))))) != join(composition(sK0,complement(join(complement(sK1),complement(sK2)))),composition(sK0,complement(join(complement(sK1),complement(sK2)))))
| spl3_1 ),
inference(forward_demodulation,[],[f31408,f28103]) ).
fof(f31509,plain,
( complement(complement(composition(sK0,complement(join(complement(sK2),complement(sK1)))))) != composition(join(one,one),composition(sK0,complement(join(complement(sK1),complement(sK2)))))
| spl3_1 ),
inference(forward_demodulation,[],[f31466,f210]) ).
fof(f31545,plain,
( complement(complement(composition(sK0,complement(join(complement(sK2),complement(sK1)))))) != composition(one,composition(sK0,complement(join(complement(sK1),complement(sK2)))))
| spl3_1 ),
inference(forward_demodulation,[],[f31509,f982]) ).
fof(f31565,plain,
( composition(sK0,complement(join(complement(sK1),complement(sK2)))) != complement(complement(composition(sK0,complement(join(complement(sK2),complement(sK1))))))
| spl3_1 ),
inference(forward_demodulation,[],[f31545,f530]) ).
fof(f31576,plain,
( composition(sK0,complement(join(complement(sK1),complement(sK2)))) != composition(sK0,complement(join(complement(sK2),complement(sK1))))
| spl3_1 ),
inference(forward_demodulation,[],[f31565,f921]) ).
fof(f31582,plain,
( $false
| spl3_1 ),
inference(forward_subsumption_resolution,[],[f31576,f14699]) ).
fof(f31583,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f31582]) ).
fof(f31595,plain,
( composition(sK0,complement(join(complement(sK1),complement(sK2)))) != join(composition(sK0,complement(join(complement(sK1),complement(sK2)))),complement(complement(composition(sK0,complement(join(complement(sK1),complement(sK2)))))))
| spl3_2 ),
inference(forward_demodulation,[],[f44,f29701]) ).
fof(f31596,plain,
( $false
| spl3_2 ),
inference(forward_subsumption_resolution,[],[f31595,f636]) ).
fof(f31597,plain,
spl3_2,
inference(avatar_contradiction_clause,[],[f31596]) ).
cnf(s1,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(sat_conversion,[],[f45]) ).
cnf(s2,plain,
spl3_1,
inference(sat_conversion,[],[f31583]) ).
cnf(s3,plain,
spl3_2,
inference(sat_conversion,[],[f31597]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
fof(f31598,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----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
% 0.14/0.42 % Computer : n007.cluster.edu
% 0.14/0.42 % Model : x86_64 x86_64
% 0.14/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.42 % Memory : 8046.5625MB
% 0.14/0.42 % OS : Linux 6.8.0-71-generic
% 0.14/0.42 % CPULimit : 300
% 0.14/0.42 % WCLimit : 300
% 0.14/0.42 % DateTime : Sun Sep 27 22:53:55 UTC 2026
% 0.14/0.42 % CPUTime :
% 0.14/0.42 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.49 Running first-order theorem proving
% 0.23/0.49 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
% 16.92/3.94 % (1865654)Detected formulas, will run a generic FOF schedule.
% 16.92/3.94 % (1865661)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=893474488:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 16.92/3.94 % (1865664)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1419008017:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 16.92/3.94 % (1865660)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3628469009:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 16.92/3.94 % (1865659)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=2031027212:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 16.92/3.94 % (1865663)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1095921591:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 16.92/3.94 % (1865662)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2779630022:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 16.92/3.94 % (1865664)Instruction limit reached!
% 16.92/3.94 % (1865664)------------------------------
% 16.92/3.94 % (1865664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.92/3.94 % (1865664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.92/3.94 % (1865664)CaDiCaL version: 2.1.3
% 16.92/3.94 % (1865664)Termination reason: Instruction limit
% 16.92/3.94 % (1865664)Termination phase: Saturation
% 16.92/3.94 % (1865664)Time elapsed: 0.117 s
% 16.92/3.94 % (1865664)Peak memory usage: 90 MB
% 16.92/3.94 % (1865664)Instructions burned: 139 (million)
% 16.92/3.94 % (1865665)dis-21_1_sil=8000:lcm=predicate:random_seed=414548682:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 16.92/3.94 % (1865665)Refutation not found, incomplete strategy
% 16.92/3.94 % (1865665)------------------------------
% 16.92/3.94 % (1865665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.92/3.94 % (1865665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.92/3.94 % (1865665)CaDiCaL version: 2.1.3
% 16.92/3.94 % (1865665)Termination reason: Refutation not found, incomplete strategy
% 16.92/3.94 % (1865665)Time elapsed: 0.003 s
% 16.92/3.94 % (1865665)Peak memory usage: 88 MB
% 16.92/3.94 % (1865665)Instructions burned: 1 (million)
% 16.92/3.94 % (1865662)Instruction limit reached!
% 16.92/3.94 % (1865662)------------------------------
% 16.92/3.94 % (1865662)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.92/3.94 % (1865662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.92/3.94 % (1865662)CaDiCaL version: 2.1.3
% 16.92/3.94 % (1865662)Termination reason: Instruction limit
% 16.92/3.94 % (1865662)Termination phase: Saturation
% 16.92/3.94 % (1865662)Time elapsed: 0.106 s
% 16.92/3.94 % (1865662)Peak memory usage: 89 MB
% 16.92/3.94 % (1865662)Instructions burned: 110 (million)
% 16.92/3.94 % (1865663)Instruction limit reached!
% 16.92/3.94 % (1865663)------------------------------
% 16.92/3.94 % (1865663)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.92/3.94 % (1865663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.92/3.94 % (1865663)CaDiCaL version: 2.1.3
% 16.92/3.94 % (1865663)Termination reason: Instruction limit
% 16.92/3.94 % (1865663)Termination phase: Saturation
% 16.92/3.94 % (1865663)Time elapsed: 0.112 s
% 16.92/3.94 % (1865663)Peak memory usage: 88 MB
% 16.92/3.94 % (1865663)Instructions burned: 120 (million)
% 16.92/3.94 % (1865672)lrs+10_1_sil=8000:sp=occurrence:random_seed=1484372372:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 16.92/3.94 % (1865675)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3019142638:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 16.92/3.94 % (1865674)lrs+10_1_sil=32000:urr=on:br=off:random_seed=520660513:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 16.92/3.94 % (1865665)------------------------------
% 16.92/3.94 % (1865665)------------------------------
% 16.92/3.94 % (1865672)Instruction limit reached!
% 16.92/3.94 % (1865672)------------------------------
% 16.92/3.94 % (1865672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.92/3.94 % (1865672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.92/3.94 % (1865672)CaDiCaL version: 2.1.3
% 16.92/3.94 % (1865672)Termination reason: Instruction limit
% 16.92/3.94 % (1865672)Termination phase: Saturation
% 16.92/3.94 % (1865672)Time elapsed: 0.292 s
% 16.92/3.94 % (1865672)Peak memory usage: 92 MB
% 16.92/3.94 % (1865672)Instructions burned: 286 (million)
% 16.92/3.94 % (1865674)Instruction limit reached!
% 16.92/3.94 % (1865674)------------------------------
% 16.92/3.94 % (1865674)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.92/3.94 % (1865674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.92/3.94 % (1865674)CaDiCaL version: 2.1.3
% 16.92/3.94 % (1865674)Termination reason: Instruction limit
% 16.92/3.94 % (1865674)Termination phase: Saturation
% 16.92/3.94 % (1865674)Time elapsed: 0.156 s
% 16.92/3.94 % (1865674)Peak memory usage: 90 MB
% 16.92/3.94 % (1865674)Instructions burned: 157 (million)
% 16.92/3.94 % (1865679)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3707874859:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 16.92/3.94 % (1865675)Instruction limit reached!
% 16.92/3.94 % (1865675)------------------------------
% 16.92/3.94 % (1865675)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.92/3.94 % (1865675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.92/3.94 % (1865675)CaDiCaL version: 2.1.3
% 16.92/3.94 % (1865675)Termination reason: Instruction limit
% 16.92/3.94 % (1865675)Termination phase: Saturation
% 16.92/3.94 % (1865675)Time elapsed: 0.317 s
% 16.92/3.94 % (1865675)Peak memory usage: 91 MB
% 16.92/3.94 % (1865675)Instructions burned: 325 (million)
% 16.92/3.94 % (1865679)Instruction limit reached!
% 16.92/3.94 % (1865679)------------------------------
% 16.92/3.94 % (1865679)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.92/3.94 % (1865679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.92/3.94 % (1865679)CaDiCaL version: 2.1.3
% 16.92/3.94 % (1865679)Termination reason: Instruction limit
% 16.92/3.94 % (1865679)Termination phase: Saturation
% 16.92/3.94 % (1865679)Time elapsed: 0.132 s
% 16.92/3.94 % (1865679)Peak memory usage: 92 MB
% 16.92/3.94 % (1865679)Instructions burned: 249 (million)
% 16.92/3.94 % (1865680)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3398213114:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 16.92/3.94 % (1865681)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3107284237:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 16.92/3.94 % (1865683)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2614975255:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 16.92/3.94 % (1865683)Instruction limit reached!
% 16.92/3.94 % (1865683)------------------------------
% 16.92/3.94 % (1865683)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.92/3.94 % (1865683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.92/3.94 % (1865683)CaDiCaL version: 2.1.3
% 16.92/3.94 % (1865683)Termination reason: Instruction limit
% 16.92/3.94 % (1865683)Termination phase: Saturation
% 16.92/3.94 % (1865683)Time elapsed: 0.111 s
% 16.92/3.94 % (1865683)Peak memory usage: 89 MB
% 16.92/3.94 % (1865683)Instructions burned: 114 (million)
% 16.92/3.94 % (1865684)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1991624109:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 16.92/3.94 % (1865684)Refutation not found, incomplete strategy
% 16.92/3.94 % (1865684)------------------------------
% 16.92/3.94 % (1865684)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.92/3.94 % (1865684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.92/3.94 % (1865684)CaDiCaL version: 2.1.3
% 16.92/3.94 % (1865684)Termination reason: Refutation not found, incomplete strategy
% 16.92/3.94 % (1865684)Time elapsed: 0.002 s
% 16.92/3.94 % (1865684)Peak memory usage: 88 MB
% 16.92/3.94 % (1865680)Instruction limit reached!
% 16.92/3.94 % (1865680)------------------------------
% 16.92/3.94 % (1865680)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.92/3.94 % (1865680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.92/3.94 % (1865680)CaDiCaL version: 2.1.3
% 16.92/3.94 % (1865680)Termination reason: Instruction limit
% 16.92/3.94 % (1865680)Termination phase: Saturation
% 16.92/3.94 % (1865680)Time elapsed: 0.288 s
% 16.92/3.94 % (1865680)Peak memory usage: 90 MB
% 16.92/3.94 % (1865680)Instructions burned: 294 (million)
% 16.92/3.94 % (1865689)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=907442316:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2986 on theBenchmark for (2986ds/114Mi)
% 16.92/3.94 % (1865690)lrs+10_1_sil=8000:sp=occurrence:random_seed=2287958721:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2986 on theBenchmark for (2986ds/907Mi)
% 16.92/3.94 % (1865684)------------------------------
% 16.92/3.94 % (1865684)------------------------------
% 16.92/3.94 % (1865689)Instruction limit reached!
% 16.92/3.94 % (1865689)------------------------------
% 16.92/3.94 % (1865689)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.92/3.94 % (1865689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.92/3.94 % (1865689)CaDiCaL version: 2.1.3
% 16.92/3.94 % (1865689)Termination reason: Instruction limit
% 16.92/3.94 % (1865689)Termination phase: Saturation
% 16.92/3.94 % (1865689)Time elapsed: 0.112 s
% 16.92/3.94 % (1865689)Peak memory usage: 89 MB
% 16.92/3.94 % (1865689)Instructions burned: 115 (million)
% 16.92/3.94 % (1865694)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1265255203:i=5202:ss=axioms:sgt=16_2982 on theBenchmark for (2982ds/5202Mi)
% 16.92/3.94 % (1865693)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2574393732:i=437:sd=1:aac=none:ss=included_2982 on theBenchmark for (2982ds/437Mi)
% 16.92/3.94 % (1865693)Instruction limit reached!
% 16.92/3.94 % (1865693)------------------------------
% 16.92/3.94 % (1865693)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.92/3.94 % (1865693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.92/3.94 % (1865693)CaDiCaL version: 2.1.3
% 16.92/3.94 % (1865693)Termination reason: Instruction limit
% 16.92/3.94 % (1865693)Termination phase: Saturation
% 16.92/3.94 % (1865693)Time elapsed: 0.383 s
% 16.92/3.94 % (1865693)Peak memory usage: 90 MB
% 16.92/3.94 % (1865693)Instructions burned: 438 (million)
% 16.92/3.94 % (1865690)Instruction limit reached!
% 16.92/3.94 % (1865690)------------------------------
% 16.92/3.94 % (1865690)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.92/3.94 % (1865690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.92/3.94 % (1865690)CaDiCaL version: 2.1.3
% 16.92/3.94 % (1865690)Termination reason: Instruction limit
% 16.92/3.94 % (1865690)Termination phase: Saturation
% 16.92/3.94 % (1865690)Time elapsed: 0.885 s
% 16.92/3.94 % (1865690)Peak memory usage: 96 MB
% 16.92/3.94 % (1865690)Instructions burned: 907 (million)
% 16.92/3.94 % (1865660)First to succeed.
% 16.92/3.94 % (1865660)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1865654"
% 16.92/3.94 % (1865699)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=895401520:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2975 on theBenchmark for (2975ds/134Mi)
% 16.92/3.94 % (1865699)Refutation not found, incomplete strategy
% 16.92/3.94 % (1865699)------------------------------
% 16.92/3.94 % (1865699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.92/3.94 % (1865699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.92/3.94 % (1865699)CaDiCaL version: 2.1.3
% 16.92/3.94 % (1865699)Termination reason: Refutation not found, incomplete strategy
% 16.92/3.94 % (1865699)Time elapsed: 0.003 s
% 16.92/3.94 % (1865699)Peak memory usage: 89 MB
% 16.92/3.94 % (1865699)Instructions burned: 1 (million)
% 16.92/3.94 % (1865700)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3807416198:st=8:i=592:sd=3:ep=RST:ss=axioms_2974 on theBenchmark for (2974ds/592Mi)
% 16.92/3.94 % (1865660)Refutation found. Thanks to Tanya!
% 16.92/3.94 % SZS status Theorem for theBenchmark
% 16.92/3.94 % SZS output start Proof for theBenchmark
% See solution above
% 20.75/4.20 % (1865660)------------------------------
% 20.75/4.20 % (1865660)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.75/4.20 % (1865660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.75/4.20 % (1865660)CaDiCaL version: 2.1.3
% 20.75/4.20 % (1865660)Termination reason: Refutation
% 20.75/4.20 % (1865660)Time elapsed: 2.319 s
% 20.75/4.20 % (1865660)Peak memory usage: 152 MB
% 20.75/4.20 % (1865660)Instructions burned: 3481 (million)
% 20.75/4.20 % (1865660)------------------------------
% 20.75/4.20 % (1865660)------------------------------
% 20.75/4.20 % (1865654)Success in time 2.84 s
% 20.75/4.20 % Vampire exiting
%------------------------------------------------------------------------------