%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL029+4 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:33:55 PM UTC 2026
% Result : Theorem 20.95s 4.01s
% Output : Refutation 22.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 77
% Number of leaves : 16
% Syntax : Number of formulae : 325 ( 284 unt; 2 def)
% Number of atoms : 376 ( 333 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 95 ( 44 ~; 37 |; 10 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 10 ( 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 : 442 ( 0 sgn 436 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',composition_associativity) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',composition_distributivity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_top) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_zero) ).
fof(f17,conjecture,
! [X0,X1,X2] :
( ( join(X0,one) = one
& join(X1,one) = one )
=> ( join(meet(composition(X0,X2),composition(X1,X2)),composition(meet(X0,X1),X2)) = composition(meet(X0,X1),X2)
& join(composition(meet(X0,X1),X2),meet(composition(X0,X2),composition(X1,X2))) = meet(composition(X0,X2),composition(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0,X1,X2] :
( ( join(X0,one) = one
& join(X1,one) = one )
=> ( join(meet(composition(X0,X2),composition(X1,X2)),composition(meet(X0,X1),X2)) = composition(meet(X0,X1),X2)
& join(composition(meet(X0,X1),X2),meet(composition(X0,X2),composition(X1,X2))) = meet(composition(X0,X2),composition(X1,X2)) ) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
? [X0,X1,X2] :
( ( composition(meet(X0,X1),X2) != join(meet(composition(X0,X2),composition(X1,X2)),composition(meet(X0,X1),X2))
| meet(composition(X0,X2),composition(X1,X2)) != join(composition(meet(X0,X1),X2),meet(composition(X0,X2),composition(X1,X2))) )
& join(X0,one) = one
& join(X1,one) = one ),
inference(ennf_transformation,[],[f18]) ).
fof(f20,plain,
? [X0,X1,X2] :
( ( composition(meet(X0,X1),X2) != join(meet(composition(X0,X2),composition(X1,X2)),composition(meet(X0,X1),X2))
| meet(composition(X0,X2),composition(X1,X2)) != join(composition(meet(X0,X1),X2),meet(composition(X0,X2),composition(X1,X2))) )
& join(X0,one) = one
& join(X1,one) = one ),
inference(flattening,[],[f19]) ).
fof(f21,plain,
( ( composition(meet(sK0,sK1),sK2) != join(meet(composition(sK0,sK2),composition(sK1,sK2)),composition(meet(sK0,sK1),sK2))
| meet(composition(sK0,sK2),composition(sK1,sK2)) != join(composition(meet(sK0,sK1),sK2),meet(composition(sK0,sK2),composition(sK1,sK2))) )
& one = join(sK0,one)
& one = join(sK1,one) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f20]) ).
fof(f22,plain,
one = join(sK1,one),
inference(cnf_transformation,[],[f21]) ).
fof(f23,plain,
one = join(sK0,one),
inference(cnf_transformation,[],[f21]) ).
fof(f24,plain,
( composition(meet(sK0,sK1),sK2) != join(meet(composition(sK0,sK2),composition(sK1,sK2)),composition(meet(sK0,sK1),sK2))
| meet(composition(sK0,sK2),composition(sK1,sK2)) != join(composition(meet(sK0,sK1),sK2),meet(composition(sK0,sK2),composition(sK1,sK2))) ),
inference(cnf_transformation,[],[f21]) ).
fof(f25,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f26,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f30,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f31,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f32,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f33,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f34,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f35,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f36,plain,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f37,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f38,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f39,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f40,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f41,plain,
( composition(complement(join(complement(sK0),complement(sK1))),sK2) != join(complement(join(complement(composition(sK0,sK2)),complement(composition(sK1,sK2)))),composition(complement(join(complement(sK0),complement(sK1))),sK2))
| complement(join(complement(composition(sK0,sK2)),complement(composition(sK1,sK2)))) != join(composition(complement(join(complement(sK0),complement(sK1))),sK2),complement(join(complement(composition(sK0,sK2)),complement(composition(sK1,sK2))))) ),
inference(definition_unfolding,[],[f24,f31,f31,f31,f31,f31,f31]) ).
fof(f45,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f30,f31]) ).
fof(f46,plain,
zero = complement(top),
inference(forward_demodulation,[],[f45,f39]) ).
fof(f47,plain,
( composition(complement(join(complement(sK0),complement(sK1))),sK2) != join(composition(complement(join(complement(sK0),complement(sK1))),sK2),complement(join(complement(composition(sK0,sK2)),complement(composition(sK1,sK2)))))
| complement(join(complement(composition(sK0,sK2)),complement(composition(sK1,sK2)))) != join(composition(complement(join(complement(sK0),complement(sK1))),sK2),complement(join(complement(composition(sK0,sK2)),complement(composition(sK1,sK2))))) ),
inference(forward_demodulation,[],[f41,f26]) ).
fof(f49,definition,
( spl3_1
<=> complement(join(complement(composition(sK0,sK2)),complement(composition(sK1,sK2)))) = join(composition(complement(join(complement(sK0),complement(sK1))),sK2),complement(join(complement(composition(sK0,sK2)),complement(composition(sK1,sK2))))) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f50,plain,
( complement(join(complement(composition(sK0,sK2)),complement(composition(sK1,sK2)))) != join(composition(complement(join(complement(sK0),complement(sK1))),sK2),complement(join(complement(composition(sK0,sK2)),complement(composition(sK1,sK2)))))
| spl3_1 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f52,definition,
( spl3_2
<=> composition(complement(join(complement(sK0),complement(sK1))),sK2) = join(composition(complement(join(complement(sK0),complement(sK1))),sK2),complement(join(complement(composition(sK0,sK2)),complement(composition(sK1,sK2))))) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f53,plain,
( composition(complement(join(complement(sK0),complement(sK1))),sK2) != join(composition(complement(join(complement(sK0),complement(sK1))),sK2),complement(join(complement(composition(sK0,sK2)),complement(composition(sK1,sK2)))))
| spl3_2 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f54,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f47,f52,f49]) ).
fof(f55,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f37,f38]) ).
fof(f62,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f33,f38]) ).
fof(f64,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f34,f33]) ).
fof(f76,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f40,f26]) ).
fof(f78,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,[],[f40,f40]) ).
fof(f84,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(superposition,[],[f26,f40]) ).
fof(f87,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,[],[f78,f26]) ).
fof(f89,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(forward_demodulation,[],[f76,f26]) ).
fof(f93,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,[],[f87,f26]) ).
fof(f102,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),complement(X1))),join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f25,f40]) ).
fof(f110,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f26,f25]) ).
fof(f111,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(X2,complement(join(complement(X0),complement(X1))))),
inference(forward_demodulation,[],[f102,f110]) ).
fof(f214,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f62,f35]) ).
fof(f222,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f214,f38]) ).
fof(f231,plain,
one = converse(one),
inference(superposition,[],[f35,f222]) ).
fof(f238,plain,
! [X0,X1] : join(X0,join(complement(X0),complement(X1))) = join(complement(join(complement(X0),X1)),top),
inference(superposition,[],[f111,f39]) ).
fof(f241,plain,
! [X0,X1] : join(top,X1) = join(X0,join(complement(X0),X1)),
inference(superposition,[],[f25,f39]) ).
fof(f244,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[],[f40,f39]) ).
fof(f249,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(forward_demodulation,[],[f244,f46]) ).
fof(f252,plain,
! [X0,X1] : join(X0,join(complement(X0),complement(X1))) = join(top,complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f238,f26]) ).
fof(f255,plain,
! [X0,X1] : join(top,complement(join(complement(X0),X1))) = join(top,complement(X1)),
inference(forward_demodulation,[],[f252,f241]) ).
fof(f256,plain,
! [X0,X1] : complement(X1) = join(composition(X0,complement(composition(converse(X0),X1))),complement(X1)),
inference(superposition,[],[f32,f38]) ).
fof(f280,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(X0,complement(composition(converse(X0),X1)))),
inference(forward_demodulation,[],[f256,f26]) ).
fof(f359,plain,
! [X0,X1] : join(top,complement(join(complement(X1),complement(X0)))) = join(join(complement(X0),X1),X0),
inference(superposition,[],[f241,f89]) ).
fof(f367,plain,
! [X0] : join(X0,top) = join(top,complement(complement(X0))),
inference(superposition,[],[f241,f39]) ).
fof(f391,plain,
! [X0,X1] : join(top,complement(join(complement(X1),complement(X0)))) = join(complement(X0),join(X1,X0)),
inference(forward_demodulation,[],[f359,f25]) ).
fof(f399,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,complement(join(complement(X1),complement(X0)))),
inference(forward_demodulation,[],[f391,f110]) ).
fof(f403,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,complement(complement(X0))),
inference(forward_demodulation,[],[f399,f255]) ).
fof(f405,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(X0,top),
inference(forward_demodulation,[],[f403,f367]) ).
fof(f412,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f64,f33]) ).
fof(f422,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f412,f37]) ).
fof(f429,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f422,f37]) ).
fof(f434,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f429,f33]) ).
fof(f451,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f38,f434]) ).
fof(f456,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f451,f38]) ).
fof(f483,plain,
! [X0,X1] : join(X0,composition(X0,X1)) = composition(X0,join(one,X1)),
inference(superposition,[],[f456,f35]) ).
fof(f486,plain,
! [X0,X1] : join(composition(X0,X1),X0) = composition(X0,join(X1,one)),
inference(superposition,[],[f456,f35]) ).
fof(f492,plain,
! [X0,X1] : composition(join(X0,X0),X1) = composition(X0,join(X1,X1)),
inference(superposition,[],[f34,f456]) ).
fof(f499,plain,
! [X0,X1] : join(X0,composition(X0,X1)) = composition(X0,join(X1,one)),
inference(forward_demodulation,[],[f486,f26]) ).
fof(f562,plain,
! [X2,X3,X0,X1] : composition(join(X3,composition(X0,X1)),X2) = join(composition(X3,X2),composition(X0,composition(X1,X2))),
inference(superposition,[],[f34,f36]) ).
fof(f563,plain,
! [X2,X3,X0,X1] : composition(join(composition(X0,X1),X3),X2) = join(composition(X0,composition(X1,X2)),composition(X3,X2)),
inference(superposition,[],[f34,f36]) ).
fof(f604,plain,
! [X0] : composition(X0,one) = join(X0,composition(X0,sK0)),
inference(superposition,[],[f499,f23]) ).
fof(f605,plain,
! [X0] : composition(X0,one) = join(X0,composition(X0,sK1)),
inference(superposition,[],[f499,f22]) ).
fof(f640,plain,
! [X0] : join(X0,composition(X0,sK1)) = X0,
inference(forward_demodulation,[],[f605,f35]) ).
fof(f641,plain,
! [X0] : join(X0,composition(X0,sK0)) = X0,
inference(forward_demodulation,[],[f604,f35]) ).
fof(f868,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f222,f231]) ).
fof(f900,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(converse(one),X0))),
inference(superposition,[],[f280,f868]) ).
fof(f907,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f900,f222]) ).
fof(f934,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,[],[f111,f907]) ).
fof(f938,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f934,f84]) ).
fof(f976,plain,
! [X0] : join(X0,complement(top)) = X0,
inference(superposition,[],[f938,f39]) ).
fof(f979,plain,
! [X0,X1] : join(X1,complement(join(complement(X0),complement(X1)))) = X1,
inference(superposition,[],[f938,f26]) ).
fof(f981,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),X0) = join(X0,X0),
inference(superposition,[],[f111,f938]) ).
fof(f1007,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = join(X0,X0),
inference(forward_demodulation,[],[f981,f26]) ).
fof(f1008,plain,
! [X0] : join(X0,zero) = X0,
inference(forward_demodulation,[],[f976,f46]) ).
fof(f1086,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f26,f1008]) ).
fof(f1207,plain,
! [X0] : complement(join(complement(X0),complement(X0))) = X0,
inference(superposition,[],[f1086,f249]) ).
fof(f1208,plain,
! [X0] : join(X0,zero) = join(complement(join(complement(X0),X0)),X0),
inference(superposition,[],[f111,f249]) ).
fof(f1214,plain,
! [X0] : join(X0,zero) = join(X0,complement(join(complement(X0),X0))),
inference(forward_demodulation,[],[f1208,f26]) ).
fof(f1215,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f1207,f907]) ).
fof(f1220,plain,
! [X0] : join(X0,X0) = join(X0,zero),
inference(forward_demodulation,[],[f1214,f1007]) ).
fof(f1224,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[],[f1220,f1008]) ).
fof(f1235,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(X1),X0))),
inference(superposition,[],[f89,f1215]) ).
fof(f1244,plain,
! [X0,X1] : join(X1,complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f938,f1215]) ).
fof(f1246,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f979,f1215]) ).
fof(f1256,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X1,X0))),
inference(superposition,[],[f1246,f1215]) ).
fof(f1389,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(superposition,[],[f1244,f1215]) ).
fof(f1517,plain,
! [X0,X1] : join(X0,X1) = join(join(X0,X1),complement(complement(X0))),
inference(superposition,[],[f1246,f1389]) ).
fof(f1522,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,complement(complement(X0)))),
inference(forward_demodulation,[],[f1517,f25]) ).
fof(f1542,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,X0)),
inference(forward_demodulation,[],[f1522,f1215]) ).
fof(f1740,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(join(complement(join(complement(X1),X0)),join(X0,X1))),complement(complement(X0))),
inference(superposition,[],[f89,f1235]) ).
fof(f1742,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),complement(join(complement(join(X0,X1)),join(complement(X1),X0)))),
inference(superposition,[],[f40,f1235]) ).
fof(f1767,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),complement(join(X0,join(complement(join(X0,X1)),complement(X1))))),
inference(forward_demodulation,[],[f1742,f110]) ).
fof(f1769,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(complement(join(complement(X1),X0)),join(X0,X1)))),
inference(forward_demodulation,[],[f1740,f26]) ).
fof(f1824,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),complement(join(X0,join(complement(X1),complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f1767,f26]) ).
fof(f1826,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(join(X0,X1),complement(join(complement(X1),X0))))),
inference(forward_demodulation,[],[f1769,f26]) ).
fof(f1865,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),complement(join(X0,complement(X1)))),
inference(forward_demodulation,[],[f1824,f1256]) ).
fof(f1867,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(X0,join(X1,complement(join(complement(X1),X0)))))),
inference(forward_demodulation,[],[f1826,f25]) ).
fof(f1897,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(X0,complement(X1)))),
inference(forward_demodulation,[],[f1865,f1215]) ).
fof(f1899,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(X0,join(X1,X1)))),
inference(forward_demodulation,[],[f1867,f1007]) ).
fof(f1921,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(X0,X1))),
inference(forward_demodulation,[],[f1899,f1224]) ).
fof(f1932,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f1921,f1215]) ).
fof(f1940,plain,
! [X0,X1] : join(complement(X0),X1) = join(X1,complement(join(X0,X1))),
inference(superposition,[],[f1932,f26]) ).
fof(f1948,plain,
! [X0,X1] : join(X0,complement(X0)) = join(complement(complement(join(complement(X0),X1))),X0),
inference(superposition,[],[f1932,f1244]) ).
fof(f1968,plain,
! [X2,X0,X1] : join(complement(composition(X0,X2)),composition(X0,X1)) = join(composition(X0,X1),complement(composition(X0,join(X1,X2)))),
inference(superposition,[],[f1932,f456]) ).
fof(f1986,plain,
! [X2,X0,X1] : join(X2,join(complement(X0),X1)) = join(X1,join(complement(join(X1,X0)),X2)),
inference(superposition,[],[f110,f1932]) ).
fof(f2052,plain,
! [X0,X1] : join(X0,complement(X0)) = join(X0,complement(complement(join(complement(X0),X1)))),
inference(forward_demodulation,[],[f1948,f26]) ).
fof(f2087,plain,
! [X0,X1] : join(X0,complement(X0)) = join(X0,join(complement(X0),X1)),
inference(forward_demodulation,[],[f2052,f1215]) ).
fof(f2112,plain,
! [X0] : join(X0,complement(X0)) = join(X0,top),
inference(forward_demodulation,[],[f2087,f405]) ).
fof(f2130,plain,
! [X0] : top = join(X0,top),
inference(forward_demodulation,[],[f2112,f39]) ).
fof(f2337,plain,
! [X0,X1] : join(X1,complement(X0)) = join(X1,complement(join(X1,X0))),
inference(superposition,[],[f1897,f1215]) ).
fof(f2374,plain,
! [X2,X0,X1] : join(X2,join(X0,X1)) = join(X0,join(complement(join(X0,complement(X1))),X2)),
inference(superposition,[],[f110,f1897]) ).
fof(f2418,plain,
! [X2,X0,X1] : join(X2,join(X0,X1)) = join(X2,join(complement(complement(X1)),X0)),
inference(forward_demodulation,[],[f2374,f1986]) ).
fof(f2469,plain,
! [X2,X0,X1] : join(X2,join(X0,X1)) = join(X2,join(X1,X0)),
inference(forward_demodulation,[],[f2418,f1215]) ).
fof(f2530,plain,
! [X0,X1] : join(X1,complement(join(X0,X1))) = join(X1,complement(X0)),
inference(superposition,[],[f2337,f26]) ).
fof(f3026,plain,
! [X2,X0,X1] : join(X0,complement(join(X0,join(X1,X2)))) = join(X0,complement(join(X2,X1))),
inference(superposition,[],[f2337,f2469]) ).
fof(f3046,plain,
! [X2,X0,X1] : join(complement(join(X1,X2)),X0) = join(X0,complement(join(X2,X1))),
inference(forward_demodulation,[],[f3026,f1932]) ).
fof(f3230,plain,
! [X2,X0,X1] : join(X0,complement(join(X2,X1))) = join(X0,complement(join(X1,X2))),
inference(superposition,[],[f26,f3046]) ).
fof(f3251,plain,
! [X0,X1] : complement(join(X1,X0)) = join(zero,complement(join(X0,X1))),
inference(superposition,[],[f1008,f3046]) ).
fof(f3304,plain,
! [X0,X1] : complement(join(X0,X1)) = complement(join(X1,X0)),
inference(forward_demodulation,[],[f3251,f1086]) ).
fof(f4697,plain,
! [X2,X3,X0,X1] : join(X3,complement(join(X2,join(X0,X1)))) = join(X3,complement(join(X0,join(X1,X2)))),
inference(superposition,[],[f3230,f25]) ).
fof(f6557,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(composition(converse(X0),sK0))),
inference(superposition,[],[f55,f641]) ).
fof(f6558,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(composition(converse(X0),sK1))),
inference(superposition,[],[f55,f640]) ).
fof(f6575,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(converse(sK1),X0)),
inference(forward_demodulation,[],[f6558,f62]) ).
fof(f6576,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(converse(sK0),X0)),
inference(forward_demodulation,[],[f6557,f62]) ).
fof(f6603,plain,
! [X0] : join(X0,composition(converse(sK1),X0)) = X0,
inference(forward_demodulation,[],[f6575,f38]) ).
fof(f6604,plain,
! [X0] : join(X0,composition(converse(sK0),X0)) = X0,
inference(forward_demodulation,[],[f6576,f38]) ).
fof(f6656,plain,
! [X0] : composition(X0,one) = join(X0,composition(X0,composition(converse(sK1),one))),
inference(superposition,[],[f483,f6603]) ).
fof(f6660,plain,
! [X0] : composition(X0,one) = join(X0,composition(X0,converse(sK1))),
inference(forward_demodulation,[],[f6656,f35]) ).
fof(f6686,plain,
! [X0] : join(X0,composition(X0,converse(sK1))) = X0,
inference(forward_demodulation,[],[f6660,f35]) ).
fof(f6743,plain,
! [X0] : composition(X0,one) = join(X0,composition(X0,composition(converse(sK0),one))),
inference(superposition,[],[f483,f6604]) ).
fof(f6747,plain,
! [X0] : composition(X0,one) = join(X0,composition(X0,converse(sK0))),
inference(forward_demodulation,[],[f6743,f35]) ).
fof(f6773,plain,
! [X0] : join(X0,composition(X0,converse(sK0))) = X0,
inference(forward_demodulation,[],[f6747,f35]) ).
fof(f6834,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(composition(converse(X0),converse(sK0)))),
inference(superposition,[],[f55,f6773]) ).
fof(f6836,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(converse(converse(sK0)),X0)),
inference(forward_demodulation,[],[f6834,f62]) ).
fof(f6869,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(sK0,X0)),
inference(forward_demodulation,[],[f6836,f38]) ).
fof(f6889,plain,
! [X0] : join(X0,composition(sK0,X0)) = X0,
inference(forward_demodulation,[],[f6869,f38]) ).
fof(f6902,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(composition(sK0,X0),X1)),
inference(superposition,[],[f25,f6889]) ).
fof(f6903,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(composition(sK0,X0),X1)),
inference(superposition,[],[f110,f6889]) ).
fof(f6906,plain,
! [X0] : complement(composition(sK0,X0)) = join(complement(composition(sK0,X0)),complement(X0)),
inference(superposition,[],[f1256,f6889]) ).
fof(f6924,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(complement(join(composition(sK0,complement(X0)),X0)),complement(complement(X0))),
inference(superposition,[],[f1235,f6889]) ).
fof(f6935,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(complement(complement(X0)),complement(join(X0,composition(sK0,complement(X0))))),
inference(forward_demodulation,[],[f6924,f3046]) ).
fof(f6950,plain,
! [X0] : complement(composition(sK0,X0)) = join(complement(X0),complement(composition(sK0,X0))),
inference(forward_demodulation,[],[f6906,f26]) ).
fof(f6958,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(X0,complement(join(X0,composition(sK0,complement(X0))))),
inference(forward_demodulation,[],[f6935,f1215]) ).
fof(f6969,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(complement(composition(sK0,complement(X0))),X0),
inference(forward_demodulation,[],[f6958,f1932]) ).
fof(f6973,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(X0,complement(composition(sK0,complement(X0)))),
inference(forward_demodulation,[],[f6969,f26]) ).
fof(f7110,plain,
! [X0,X1] : join(X0,composition(sK0,X1)) = join(X0,composition(sK0,join(X0,X1))),
inference(superposition,[],[f6902,f456]) ).
fof(f7111,plain,
! [X0,X1] : join(X1,complement(composition(sK0,join(X1,X0)))) = join(X1,join(complement(composition(sK0,X0)),composition(sK0,X1))),
inference(superposition,[],[f6902,f1968]) ).
fof(f7155,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,composition(sK0,X0))),
inference(superposition,[],[f2469,f6902]) ).
fof(f7250,plain,
! [X0,X1] : join(X1,complement(composition(sK0,join(X1,X0)))) = join(X1,complement(composition(sK0,X0))),
inference(forward_demodulation,[],[f7111,f7155]) ).
fof(f7315,plain,
! [X0] : join(X0,composition(sK0,complement(X0))) = join(X0,composition(sK0,top)),
inference(superposition,[],[f7110,f39]) ).
fof(f7625,plain,
! [X0,X1] : join(X0,composition(sK0,join(X0,X1))) = join(composition(sK0,X1),X0),
inference(superposition,[],[f6903,f456]) ).
fof(f7927,plain,
! [X2,X0,X1] : join(composition(X0,X2),composition(sK0,composition(join(X0,X1),X2))) = join(composition(sK0,composition(X1,X2)),composition(X0,X2)),
inference(superposition,[],[f7625,f34]) ).
fof(f8021,plain,
! [X2,X0,X1] : join(composition(X0,X2),composition(sK0,composition(join(X0,X1),X2))) = composition(join(composition(sK0,X1),X0),X2),
inference(forward_demodulation,[],[f7927,f563]) ).
fof(f8088,plain,
! [X2,X0,X1] : composition(join(X0,composition(sK0,join(X0,X1))),X2) = composition(join(composition(sK0,X1),X0),X2),
inference(forward_demodulation,[],[f8021,f562]) ).
fof(f8125,plain,
! [X2,X0,X1] : composition(join(X0,composition(sK0,X1)),X2) = composition(join(composition(sK0,X1),X0),X2),
inference(forward_demodulation,[],[f8088,f7110]) ).
fof(f8186,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(composition(converse(X0),converse(sK1)))),
inference(superposition,[],[f55,f6686]) ).
fof(f8188,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(converse(converse(sK1)),X0)),
inference(forward_demodulation,[],[f8186,f62]) ).
fof(f8225,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(sK1,X0)),
inference(forward_demodulation,[],[f8188,f38]) ).
fof(f8248,plain,
! [X0] : join(X0,composition(sK1,X0)) = X0,
inference(forward_demodulation,[],[f8225,f38]) ).
fof(f8262,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(composition(sK1,X0),X1)),
inference(superposition,[],[f25,f8248]) ).
fof(f8286,plain,
! [X0] : complement(composition(sK1,complement(X0))) = join(complement(join(composition(sK1,complement(X0)),X0)),complement(complement(X0))),
inference(superposition,[],[f1235,f8248]) ).
fof(f8301,plain,
! [X0] : complement(composition(sK1,complement(X0))) = join(complement(complement(X0)),complement(join(X0,composition(sK1,complement(X0))))),
inference(forward_demodulation,[],[f8286,f3046]) ).
fof(f8327,plain,
! [X0] : complement(composition(sK1,complement(X0))) = join(X0,complement(join(X0,composition(sK1,complement(X0))))),
inference(forward_demodulation,[],[f8301,f1215]) ).
fof(f8339,plain,
! [X0] : complement(composition(sK1,complement(X0))) = join(complement(composition(sK1,complement(X0))),X0),
inference(forward_demodulation,[],[f8327,f1932]) ).
fof(f8343,plain,
! [X0] : complement(composition(sK1,complement(X0))) = join(X0,complement(composition(sK1,complement(X0)))),
inference(forward_demodulation,[],[f8339,f26]) ).
fof(f8482,plain,
! [X0,X1] : join(X0,composition(sK1,X1)) = join(X0,composition(sK1,join(X0,X1))),
inference(superposition,[],[f8262,f456]) ).
fof(f8710,plain,
! [X0] : join(X0,composition(sK1,complement(X0))) = join(X0,composition(sK1,top)),
inference(superposition,[],[f8482,f39]) ).
fof(f10026,plain,
! [X0] : join(X0,complement(composition(sK1,complement(X0)))) = join(X0,complement(join(X0,composition(sK1,top)))),
inference(superposition,[],[f2337,f8710]) ).
fof(f10038,plain,
! [X0] : join(complement(X0),complement(composition(sK1,complement(complement(X0))))) = join(complement(X0),complement(join(complement(complement(join(complement(X0),composition(sK1,top)))),complement(join(complement(X0),complement(composition(sK1,complement(complement(X0))))))))),
inference(superposition,[],[f93,f8710]) ).
fof(f10067,plain,
! [X0] : complement(composition(sK1,complement(complement(X0)))) = join(complement(X0),complement(join(complement(complement(join(complement(X0),composition(sK1,top)))),complement(complement(composition(sK1,complement(complement(X0)))))))),
inference(forward_demodulation,[],[f10038,f8343]) ).
fof(f10079,plain,
! [X0] : join(X0,complement(composition(sK1,complement(X0)))) = join(complement(composition(sK1,top)),X0),
inference(forward_demodulation,[],[f10026,f1932]) ).
fof(f10103,plain,
! [X0] : complement(composition(sK1,complement(complement(X0)))) = join(complement(X0),complement(join(complement(complement(composition(sK1,complement(complement(X0))))),complement(complement(join(complement(X0),composition(sK1,top))))))),
inference(forward_demodulation,[],[f10067,f3230]) ).
fof(f10113,plain,
! [X0] : complement(composition(sK1,complement(X0))) = join(complement(composition(sK1,top)),X0),
inference(forward_demodulation,[],[f10079,f8343]) ).
fof(f10128,plain,
! [X0] : complement(composition(sK1,complement(complement(X0)))) = join(complement(X0),complement(join(complement(complement(composition(sK1,complement(complement(X0))))),join(complement(X0),composition(sK1,top))))),
inference(forward_demodulation,[],[f10103,f1215]) ).
fof(f10144,plain,
! [X0] : complement(composition(sK1,complement(complement(X0)))) = join(complement(X0),complement(join(complement(X0),join(composition(sK1,top),complement(complement(composition(sK1,complement(complement(X0))))))))),
inference(forward_demodulation,[],[f10128,f4697]) ).
fof(f10154,plain,
! [X0] : complement(composition(sK1,complement(complement(X0)))) = join(complement(join(composition(sK1,top),complement(complement(composition(sK1,complement(complement(X0))))))),complement(X0)),
inference(forward_demodulation,[],[f10144,f1932]) ).
fof(f10161,plain,
! [X0] : complement(composition(sK1,complement(complement(X0)))) = join(complement(X0),complement(join(complement(complement(composition(sK1,complement(complement(X0))))),composition(sK1,top)))),
inference(forward_demodulation,[],[f10154,f3046]) ).
fof(f10167,plain,
! [X0] : complement(composition(sK1,complement(complement(X0)))) = join(complement(X0),complement(join(composition(sK1,top),complement(complement(composition(sK1,complement(complement(X0)))))))),
inference(forward_demodulation,[],[f10161,f3230]) ).
fof(f10170,plain,
! [X0] : complement(composition(sK1,complement(complement(X0)))) = join(complement(X0),complement(join(composition(sK1,top),composition(sK1,complement(complement(X0)))))),
inference(forward_demodulation,[],[f10167,f1215]) ).
fof(f10171,plain,
! [X0] : complement(composition(sK1,complement(complement(X0)))) = join(complement(X0),complement(composition(sK1,join(top,complement(complement(X0)))))),
inference(forward_demodulation,[],[f10170,f456]) ).
fof(f10172,plain,
! [X0] : complement(composition(sK1,complement(complement(X0)))) = join(complement(X0),complement(composition(sK1,join(X0,top)))),
inference(forward_demodulation,[],[f10171,f367]) ).
fof(f10173,plain,
! [X0] : complement(composition(sK1,complement(complement(X0)))) = join(complement(X0),complement(composition(sK1,top))),
inference(forward_demodulation,[],[f10172,f2130]) ).
fof(f10174,plain,
! [X0] : complement(composition(sK1,X0)) = join(complement(X0),complement(composition(sK1,top))),
inference(forward_demodulation,[],[f10173,f1215]) ).
fof(f10211,plain,
! [X0,X1] : join(X1,complement(composition(sK1,X0))) = join(complement(X0),join(complement(composition(sK1,top)),X1)),
inference(superposition,[],[f110,f10174]) ).
fof(f10212,plain,
! [X0,X1] : join(X1,complement(composition(sK1,X0))) = join(complement(composition(sK1,top)),join(X1,complement(X0))),
inference(superposition,[],[f110,f10174]) ).
fof(f10254,plain,
! [X0,X1] : join(X1,complement(composition(sK1,X0))) = complement(composition(sK1,complement(join(X1,complement(X0))))),
inference(forward_demodulation,[],[f10212,f10113]) ).
fof(f10255,plain,
! [X0,X1] : join(X1,complement(composition(sK1,X0))) = join(complement(X0),complement(composition(sK1,complement(X1)))),
inference(forward_demodulation,[],[f10211,f10113]) ).
fof(f10376,plain,
! [X0,X1] : join(complement(X1),complement(composition(sK1,X0))) = join(complement(X0),complement(composition(sK1,X1))),
inference(superposition,[],[f10255,f1215]) ).
fof(f10416,plain,
! [X0,X1] : join(X0,complement(composition(sK1,X1))) = join(complement(composition(sK1,complement(X0))),complement(X1)),
inference(superposition,[],[f26,f10255]) ).
fof(f12257,plain,
! [X0] : join(complement(X0),complement(composition(sK1,composition(sK0,X0)))) = complement(composition(sK1,complement(complement(composition(sK0,X0))))),
inference(superposition,[],[f10254,f6950]) ).
fof(f12398,plain,
! [X0] : complement(composition(sK1,composition(sK0,X0))) = join(complement(X0),complement(composition(sK1,composition(sK0,X0)))),
inference(forward_demodulation,[],[f12257,f1215]) ).
fof(f14778,plain,
complement(composition(sK1,sK0)) = join(complement(one),complement(composition(sK1,sK0))),
inference(superposition,[],[f12398,f35]) ).
fof(f14855,plain,
complement(composition(sK1,sK0)) = join(complement(sK0),complement(composition(sK1,one))),
inference(forward_demodulation,[],[f14778,f10376]) ).
fof(f14885,plain,
join(complement(sK0),complement(sK1)) = complement(composition(sK1,sK0)),
inference(forward_demodulation,[],[f14855,f35]) ).
fof(f15163,plain,
! [X0] : join(X0,complement(composition(sK0,complement(X0)))) = join(X0,complement(join(X0,composition(sK0,top)))),
inference(superposition,[],[f2337,f7315]) ).
fof(f15175,plain,
! [X0] : join(complement(X0),complement(composition(sK0,complement(complement(X0))))) = join(complement(X0),complement(join(complement(complement(join(complement(X0),composition(sK0,top)))),complement(join(complement(X0),complement(composition(sK0,complement(complement(X0))))))))),
inference(superposition,[],[f93,f7315]) ).
fof(f15208,plain,
! [X0] : complement(composition(sK0,complement(complement(X0)))) = join(complement(X0),complement(join(complement(complement(join(complement(X0),composition(sK0,top)))),complement(complement(composition(sK0,complement(complement(X0)))))))),
inference(forward_demodulation,[],[f15175,f6973]) ).
fof(f15220,plain,
! [X0] : join(X0,complement(composition(sK0,complement(X0)))) = join(complement(composition(sK0,top)),X0),
inference(forward_demodulation,[],[f15163,f1932]) ).
fof(f15252,plain,
! [X0] : complement(composition(sK0,complement(complement(X0)))) = join(complement(X0),complement(join(complement(complement(composition(sK0,complement(complement(X0))))),complement(complement(join(complement(X0),composition(sK0,top))))))),
inference(forward_demodulation,[],[f15208,f3230]) ).
fof(f15262,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(complement(composition(sK0,top)),X0),
inference(forward_demodulation,[],[f15220,f6973]) ).
fof(f15281,plain,
! [X0] : complement(composition(sK0,complement(complement(X0)))) = join(complement(X0),complement(join(complement(complement(composition(sK0,complement(complement(X0))))),join(complement(X0),composition(sK0,top))))),
inference(forward_demodulation,[],[f15252,f1215]) ).
fof(f15300,plain,
! [X0] : complement(composition(sK0,complement(complement(X0)))) = join(complement(X0),complement(join(complement(X0),join(composition(sK0,top),complement(complement(composition(sK0,complement(complement(X0))))))))),
inference(forward_demodulation,[],[f15281,f4697]) ).
fof(f15312,plain,
! [X0] : complement(composition(sK0,complement(complement(X0)))) = join(complement(join(composition(sK0,top),complement(complement(composition(sK0,complement(complement(X0))))))),complement(X0)),
inference(forward_demodulation,[],[f15300,f1932]) ).
fof(f15320,plain,
! [X0] : complement(composition(sK0,complement(complement(X0)))) = join(complement(X0),complement(join(complement(complement(composition(sK0,complement(complement(X0))))),composition(sK0,top)))),
inference(forward_demodulation,[],[f15312,f3046]) ).
fof(f15326,plain,
! [X0] : complement(composition(sK0,complement(complement(X0)))) = join(complement(X0),complement(join(composition(sK0,top),complement(complement(composition(sK0,complement(complement(X0)))))))),
inference(forward_demodulation,[],[f15320,f3230]) ).
fof(f15329,plain,
! [X0] : complement(composition(sK0,complement(complement(X0)))) = join(complement(X0),complement(join(composition(sK0,top),composition(sK0,complement(complement(X0)))))),
inference(forward_demodulation,[],[f15326,f1215]) ).
fof(f15330,plain,
! [X0] : complement(composition(sK0,complement(complement(X0)))) = join(complement(X0),complement(composition(sK0,join(top,complement(complement(X0)))))),
inference(forward_demodulation,[],[f15329,f456]) ).
fof(f15331,plain,
! [X0] : complement(composition(sK0,complement(complement(X0)))) = join(complement(X0),complement(composition(sK0,join(X0,top)))),
inference(forward_demodulation,[],[f15330,f367]) ).
fof(f15332,plain,
! [X0] : complement(composition(sK0,complement(complement(X0)))) = join(complement(X0),complement(composition(sK0,top))),
inference(forward_demodulation,[],[f15331,f2130]) ).
fof(f15333,plain,
! [X0] : complement(composition(sK0,X0)) = join(complement(X0),complement(composition(sK0,top))),
inference(forward_demodulation,[],[f15332,f1215]) ).
fof(f15370,plain,
! [X0] : complement(composition(sK0,composition(sK1,complement(X0)))) = join(X0,complement(composition(sK1,composition(sK0,top)))),
inference(superposition,[],[f10416,f15333]) ).
fof(f15372,plain,
! [X0] : complement(composition(sK1,complement(complement(composition(sK0,X0))))) = join(complement(X0),complement(composition(sK1,composition(sK0,top)))),
inference(superposition,[],[f10254,f15333]) ).
fof(f15380,plain,
! [X0,X1] : join(X1,complement(composition(sK0,X0))) = join(complement(X0),join(complement(composition(sK0,top)),X1)),
inference(superposition,[],[f110,f15333]) ).
fof(f15385,plain,
! [X0] : join(complement(composition(sK0,top)),complement(X0)) = join(complement(composition(sK0,top)),complement(composition(sK0,X0))),
inference(superposition,[],[f1542,f15333]) ).
fof(f15389,plain,
! [X0] : join(complement(complement(X0)),complement(composition(sK0,top))) = join(complement(composition(sK0,top)),complement(complement(composition(sK0,X0)))),
inference(superposition,[],[f1940,f15333]) ).
fof(f15415,plain,
! [X0] : join(complement(complement(X0)),complement(composition(sK0,top))) = complement(composition(sK0,complement(complement(complement(composition(sK0,X0)))))),
inference(forward_demodulation,[],[f15389,f15262]) ).
fof(f15419,plain,
! [X0] : join(complement(composition(sK0,top)),complement(X0)) = complement(composition(sK0,complement(complement(composition(sK0,X0))))),
inference(forward_demodulation,[],[f15385,f15262]) ).
fof(f15424,plain,
! [X0,X1] : join(X1,complement(composition(sK0,X0))) = join(complement(X0),complement(composition(sK0,complement(X1)))),
inference(forward_demodulation,[],[f15380,f15262]) ).
fof(f15431,plain,
! [X0] : complement(composition(sK1,composition(sK0,X0))) = join(complement(X0),complement(composition(sK1,composition(sK0,top)))),
inference(forward_demodulation,[],[f15372,f1215]) ).
fof(f15471,plain,
! [X0] : complement(composition(sK0,complement(composition(sK0,X0)))) = join(complement(complement(X0)),complement(composition(sK0,top))),
inference(forward_demodulation,[],[f15415,f1215]) ).
fof(f15475,plain,
! [X0] : complement(composition(sK0,composition(sK0,X0))) = join(complement(composition(sK0,top)),complement(X0)),
inference(forward_demodulation,[],[f15419,f1215]) ).
fof(f15481,plain,
! [X0] : complement(composition(sK1,composition(sK0,X0))) = complement(composition(sK0,composition(sK1,complement(complement(X0))))),
inference(forward_demodulation,[],[f15431,f15370]) ).
fof(f15510,plain,
! [X0] : complement(composition(sK0,complement(X0))) = complement(composition(sK0,complement(composition(sK0,X0)))),
inference(forward_demodulation,[],[f15471,f15333]) ).
fof(f15513,plain,
! [X0] : complement(composition(sK0,complement(complement(X0)))) = complement(composition(sK0,composition(sK0,X0))),
inference(forward_demodulation,[],[f15475,f15262]) ).
fof(f15517,plain,
! [X0] : complement(composition(sK0,composition(sK1,X0))) = complement(composition(sK1,composition(sK0,X0))),
inference(forward_demodulation,[],[f15481,f1215]) ).
fof(f15532,plain,
! [X0] : complement(composition(sK0,X0)) = complement(composition(sK0,composition(sK0,X0))),
inference(forward_demodulation,[],[f15513,f1215]) ).
fof(f15574,plain,
! [X0,X1] : join(complement(X1),complement(composition(sK0,X0))) = join(complement(X0),complement(composition(sK0,X1))),
inference(superposition,[],[f15424,f1215]) ).
fof(f15623,plain,
! [X0,X1] : join(X0,complement(composition(sK0,X1))) = join(complement(composition(sK0,complement(X0))),complement(X1)),
inference(superposition,[],[f26,f15424]) ).
fof(f15638,plain,
! [X0,X1] : join(complement(composition(sK0,complement(X0))),complement(complement(X1))) = join(complement(composition(sK0,complement(X0))),complement(join(X0,complement(composition(sK0,X1))))),
inference(superposition,[],[f2530,f15424]) ).
fof(f15651,plain,
! [X0,X1] : join(complement(composition(sK0,complement(X0))),X1) = join(complement(composition(sK0,complement(X0))),complement(join(X0,complement(composition(sK0,X1))))),
inference(forward_demodulation,[],[f15638,f1215]) ).
fof(f15705,plain,
! [X0,X1] : join(complement(composition(sK0,complement(X0))),X1) = join(X0,complement(composition(sK0,join(X0,complement(composition(sK0,X1)))))),
inference(forward_demodulation,[],[f15651,f15623]) ).
fof(f15727,plain,
! [X0,X1] : join(complement(composition(sK0,complement(X0))),X1) = join(X0,complement(composition(sK0,complement(composition(sK0,X1))))),
inference(forward_demodulation,[],[f15705,f7250]) ).
fof(f15739,plain,
! [X0,X1] : join(complement(composition(sK0,complement(X0))),X1) = join(X0,complement(composition(sK0,complement(X1)))),
inference(forward_demodulation,[],[f15727,f15510]) ).
fof(f15775,plain,
! [X0] : join(complement(one),complement(composition(sK0,X0))) = join(complement(X0),complement(sK0)),
inference(superposition,[],[f15574,f35]) ).
fof(f15877,plain,
! [X0,X1] : join(complement(composition(sK0,X0)),complement(X1)) = join(complement(X0),complement(composition(sK0,X1))),
inference(superposition,[],[f26,f15574]) ).
fof(f15898,plain,
! [X0,X1] : complement(join(complement(composition(sK0,X0)),complement(X1))) = complement(join(complement(X0),complement(composition(sK0,X1)))),
inference(superposition,[],[f3304,f15574]) ).
fof(f16334,plain,
! [X0] : complement(composition(sK1,composition(sK0,complement(X0)))) = join(X0,complement(composition(sK0,complement(complement(composition(sK1,top)))))),
inference(superposition,[],[f10174,f15739]) ).
fof(f16488,plain,
! [X0] : complement(composition(sK1,composition(sK0,complement(X0)))) = join(X0,complement(composition(sK0,composition(sK1,top)))),
inference(forward_demodulation,[],[f16334,f1215]) ).
fof(f16630,plain,
! [X0] : complement(composition(sK0,composition(sK1,complement(X0)))) = join(X0,complement(composition(sK0,composition(sK1,top)))),
inference(forward_demodulation,[],[f16488,f15517]) ).
fof(f17822,plain,
! [X0] : composition(sK0,composition(sK0,X0)) = complement(complement(composition(sK0,X0))),
inference(superposition,[],[f1215,f15532]) ).
fof(f17837,plain,
! [X0] : complement(composition(sK1,composition(sK0,composition(sK0,X0)))) = join(complement(composition(sK0,X0)),complement(composition(sK1,top))),
inference(superposition,[],[f10174,f15532]) ).
fof(f17846,plain,
! [X0,X1] : join(complement(composition(sK0,X0)),complement(composition(sK1,X1))) = join(complement(X1),complement(composition(sK1,composition(sK0,composition(sK0,X0))))),
inference(superposition,[],[f10376,f15532]) ).
fof(f17852,plain,
! [X0] : complement(composition(sK1,composition(sK0,composition(sK0,composition(sK0,X0))))) = join(complement(composition(sK0,X0)),complement(composition(sK1,composition(sK0,composition(sK0,composition(sK0,X0)))))),
inference(superposition,[],[f12398,f15532]) ).
fof(f17875,plain,
! [X0] : complement(composition(sK1,composition(sK0,composition(sK0,composition(sK0,X0))))) = join(complement(X0),complement(composition(sK0,composition(sK1,composition(sK0,composition(sK0,composition(sK0,X0))))))),
inference(forward_demodulation,[],[f17852,f15877]) ).
fof(f17881,plain,
! [X0,X1] : join(complement(composition(sK0,X0)),complement(composition(sK1,X1))) = join(complement(X1),complement(composition(sK0,composition(sK1,composition(sK0,X0))))),
inference(forward_demodulation,[],[f17846,f15517]) ).
fof(f17890,plain,
! [X0] : complement(composition(sK1,composition(sK0,composition(sK0,X0)))) = join(complement(X0),complement(composition(sK0,composition(sK1,top)))),
inference(forward_demodulation,[],[f17837,f15877]) ).
fof(f17902,plain,
! [X0] : composition(sK0,X0) = composition(sK0,composition(sK0,X0)),
inference(forward_demodulation,[],[f17822,f1215]) ).
fof(f17922,plain,
! [X0] : join(complement(X0),complement(composition(sK0,composition(sK1,composition(sK0,composition(sK0,composition(sK0,X0))))))) = complement(composition(sK0,composition(sK1,composition(sK0,composition(sK0,X0))))),
inference(forward_demodulation,[],[f17875,f15517]) ).
fof(f17926,plain,
! [X0,X1] : join(complement(X0),complement(composition(sK0,composition(sK1,X1)))) = join(complement(X1),complement(composition(sK0,composition(sK1,composition(sK0,X0))))),
inference(forward_demodulation,[],[f17881,f15877]) ).
fof(f17933,plain,
! [X0] : complement(composition(sK0,composition(sK1,complement(complement(X0))))) = complement(composition(sK1,composition(sK0,composition(sK0,X0)))),
inference(forward_demodulation,[],[f17890,f16630]) ).
fof(f17953,plain,
! [X0] : complement(composition(sK0,composition(sK1,composition(sK0,X0)))) = join(complement(X0),complement(composition(sK0,composition(sK1,composition(sK0,composition(sK0,X0)))))),
inference(forward_demodulation,[],[f17922,f17902]) ).
fof(f17960,plain,
! [X0] : complement(composition(sK0,composition(sK1,complement(complement(X0))))) = complement(composition(sK0,composition(sK1,composition(sK0,X0)))),
inference(forward_demodulation,[],[f17933,f15517]) ).
fof(f17973,plain,
! [X0] : complement(composition(sK0,composition(sK1,composition(sK0,X0)))) = join(complement(composition(sK0,X0)),complement(composition(sK0,composition(sK1,X0)))),
inference(forward_demodulation,[],[f17953,f17926]) ).
fof(f17974,plain,
! [X0] : complement(composition(sK0,composition(sK1,X0))) = complement(composition(sK0,composition(sK1,composition(sK0,X0)))),
inference(forward_demodulation,[],[f17960,f1215]) ).
fof(f17982,plain,
! [X0] : complement(composition(sK0,composition(sK1,composition(sK0,X0)))) = join(complement(X0),complement(composition(sK0,composition(sK0,composition(sK1,X0))))),
inference(forward_demodulation,[],[f17973,f15877]) ).
fof(f17986,plain,
! [X0] : complement(composition(sK0,composition(sK1,composition(sK0,X0)))) = join(complement(X0),complement(composition(sK0,composition(sK1,X0)))),
inference(forward_demodulation,[],[f17982,f15532]) ).
fof(f17989,plain,
! [X0] : complement(composition(sK0,composition(sK1,X0))) = join(complement(X0),complement(composition(sK0,composition(sK1,X0)))),
inference(forward_demodulation,[],[f17986,f17974]) ).
fof(f18000,plain,
complement(composition(sK0,sK1)) = join(complement(one),complement(composition(sK0,sK1))),
inference(superposition,[],[f17989,f35]) ).
fof(f18085,plain,
join(complement(sK1),complement(sK0)) = complement(composition(sK0,sK1)),
inference(forward_demodulation,[],[f18000,f15775]) ).
fof(f18117,plain,
join(complement(sK0),complement(sK1)) = complement(composition(sK0,sK1)),
inference(forward_demodulation,[],[f18085,f26]) ).
fof(f20625,plain,
! [X0] : composition(sK1,composition(sK0,X0)) = complement(complement(composition(sK0,composition(sK1,X0)))),
inference(superposition,[],[f1215,f15517]) ).
fof(f20711,plain,
! [X0] : composition(sK0,composition(sK1,X0)) = composition(sK1,composition(sK0,X0)),
inference(forward_demodulation,[],[f20625,f1215]) ).
fof(f21449,plain,
( complement(join(complement(composition(sK0,sK2)),complement(composition(sK1,sK2)))) != join(composition(complement(complement(composition(sK0,sK1))),sK2),complement(join(complement(composition(sK0,sK2)),complement(composition(sK1,sK2)))))
| spl3_1 ),
inference(superposition,[],[f50,f18117]) ).
fof(f21488,plain,
! [X0] : join(X0,complement(join(complement(sK1),complement(sK0)))) = join(complement(complement(composition(sK0,sK1))),X0),
inference(superposition,[],[f3046,f18117]) ).
fof(f21498,plain,
! [X0] : join(X0,complement(join(complement(sK1),complement(sK0)))) = join(composition(sK0,sK1),X0),
inference(forward_demodulation,[],[f21488,f1215]) ).
fof(f21535,plain,
( complement(join(complement(sK2),complement(composition(sK0,composition(sK1,sK2))))) != join(composition(complement(complement(composition(sK0,sK1))),sK2),complement(join(complement(sK2),complement(composition(sK0,composition(sK1,sK2))))))
| spl3_1 ),
inference(forward_demodulation,[],[f21449,f15898]) ).
fof(f21539,plain,
! [X0] : join(X0,complement(join(complement(sK0),complement(sK1)))) = join(composition(sK0,sK1),X0),
inference(forward_demodulation,[],[f21498,f3230]) ).
fof(f21568,plain,
( complement(complement(composition(sK0,composition(sK1,sK2)))) != join(composition(complement(complement(composition(sK0,sK1))),sK2),complement(complement(composition(sK0,composition(sK1,sK2)))))
| spl3_1 ),
inference(forward_demodulation,[],[f21535,f17989]) ).
fof(f21572,plain,
! [X0] : join(composition(sK0,sK1),X0) = join(X0,complement(complement(composition(sK1,sK0)))),
inference(forward_demodulation,[],[f21539,f14885]) ).
fof(f21593,plain,
( complement(complement(composition(sK0,composition(sK1,sK2)))) != join(complement(complement(composition(sK0,composition(sK1,sK2)))),composition(complement(complement(composition(sK0,sK1))),sK2))
| spl3_1 ),
inference(forward_demodulation,[],[f21568,f26]) ).
fof(f21597,plain,
! [X0] : join(composition(sK0,sK1),X0) = join(X0,composition(sK1,sK0)),
inference(forward_demodulation,[],[f21572,f1215]) ).
fof(f21610,plain,
( complement(complement(composition(sK0,composition(sK1,sK2)))) != join(complement(complement(composition(sK0,composition(sK1,sK2)))),composition(composition(sK0,sK1),sK2))
| spl3_1 ),
inference(forward_demodulation,[],[f21593,f1215]) ).
fof(f21617,plain,
( complement(complement(composition(sK0,composition(sK1,sK2)))) != join(composition(composition(sK0,sK1),sK2),complement(complement(composition(sK0,composition(sK1,sK2)))))
| spl3_1 ),
inference(forward_demodulation,[],[f21610,f26]) ).
fof(f21620,plain,
( composition(sK0,composition(sK1,sK2)) != join(composition(composition(sK0,sK1),sK2),composition(sK0,composition(sK1,sK2)))
| spl3_1 ),
inference(forward_demodulation,[],[f21617,f1215]) ).
fof(f21623,plain,
( composition(sK0,composition(sK1,sK2)) != composition(join(composition(sK0,sK1),composition(sK0,sK1)),sK2)
| spl3_1 ),
inference(forward_demodulation,[],[f21620,f562]) ).
fof(f21626,plain,
( composition(sK0,composition(sK1,sK2)) != composition(composition(sK0,sK1),join(sK2,sK2))
| spl3_1 ),
inference(forward_demodulation,[],[f21623,f492]) ).
fof(f21628,plain,
( composition(sK0,composition(sK1,sK2)) != composition(sK0,composition(sK1,join(sK2,sK2)))
| spl3_1 ),
inference(forward_demodulation,[],[f21626,f36]) ).
fof(f21630,plain,
( composition(sK0,composition(sK1,sK2)) != composition(sK0,composition(sK1,sK2))
| spl3_1 ),
inference(forward_demodulation,[],[f21628,f1224]) ).
fof(f21631,plain,
( $false
| spl3_1 ),
inference(trivial_inequality_removal,[],[f21630]) ).
fof(f21632,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f21631]) ).
fof(f21633,plain,
( composition(complement(join(complement(sK0),complement(sK1))),sK2) != join(composition(complement(join(complement(sK0),complement(sK1))),sK2),complement(join(complement(sK2),complement(composition(sK0,composition(sK1,sK2))))))
| spl3_2 ),
inference(forward_demodulation,[],[f53,f15898]) ).
fof(f21634,plain,
( composition(complement(join(complement(sK0),complement(sK1))),sK2) != join(composition(complement(join(complement(sK0),complement(sK1))),sK2),complement(complement(composition(sK0,composition(sK1,sK2)))))
| spl3_2 ),
inference(forward_demodulation,[],[f21633,f17989]) ).
fof(f21635,plain,
( composition(complement(join(complement(sK0),complement(sK1))),sK2) != join(complement(complement(composition(sK0,composition(sK1,sK2)))),composition(complement(join(complement(sK0),complement(sK1))),sK2))
| spl3_2 ),
inference(forward_demodulation,[],[f21634,f26]) ).
fof(f21636,plain,
( composition(complement(complement(composition(sK1,sK0))),sK2) != join(complement(complement(composition(sK0,composition(sK1,sK2)))),composition(complement(complement(composition(sK1,sK0))),sK2))
| spl3_2 ),
inference(forward_demodulation,[],[f21635,f14885]) ).
fof(f21637,plain,
( composition(composition(sK1,sK0),sK2) != join(complement(complement(composition(sK0,composition(sK1,sK2)))),composition(composition(sK1,sK0),sK2))
| spl3_2 ),
inference(forward_demodulation,[],[f21636,f1215]) ).
fof(f21638,plain,
( composition(composition(sK1,sK0),sK2) != join(composition(composition(sK1,sK0),sK2),complement(complement(composition(sK0,composition(sK1,sK2)))))
| spl3_2 ),
inference(forward_demodulation,[],[f21637,f26]) ).
fof(f21639,plain,
( composition(composition(sK1,sK0),sK2) != join(composition(composition(sK1,sK0),sK2),composition(sK0,composition(sK1,sK2)))
| spl3_2 ),
inference(forward_demodulation,[],[f21638,f1215]) ).
fof(f21640,plain,
( composition(composition(sK1,sK0),sK2) != composition(join(composition(sK1,sK0),composition(sK0,sK1)),sK2)
| spl3_2 ),
inference(forward_demodulation,[],[f21639,f562]) ).
fof(f21641,plain,
( composition(composition(sK1,sK0),sK2) != composition(join(composition(sK0,sK1),composition(sK1,sK0)),sK2)
| spl3_2 ),
inference(forward_demodulation,[],[f21640,f8125]) ).
fof(f21642,plain,
( composition(join(composition(sK0,sK1),composition(sK0,sK1)),sK2) != composition(composition(sK1,sK0),sK2)
| spl3_2 ),
inference(forward_demodulation,[],[f21641,f21597]) ).
fof(f21643,plain,
( composition(sK1,composition(sK0,sK2)) != composition(join(composition(sK0,sK1),composition(sK0,sK1)),sK2)
| spl3_2 ),
inference(forward_demodulation,[],[f21642,f36]) ).
fof(f21644,plain,
( composition(sK1,composition(sK0,sK2)) != composition(composition(sK0,sK1),join(sK2,sK2))
| spl3_2 ),
inference(forward_demodulation,[],[f21643,f492]) ).
fof(f21645,plain,
( composition(sK1,composition(sK0,sK2)) != composition(sK0,composition(sK1,join(sK2,sK2)))
| spl3_2 ),
inference(forward_demodulation,[],[f21644,f36]) ).
fof(f21646,plain,
( composition(sK1,composition(sK0,sK2)) != composition(sK0,composition(sK1,sK2))
| spl3_2 ),
inference(forward_demodulation,[],[f21645,f1224]) ).
fof(f21647,plain,
( $false
| spl3_2 ),
inference(forward_subsumption_resolution,[],[f21646,f20711]) ).
fof(f21648,plain,
spl3_2,
inference(avatar_contradiction_clause,[],[f21647]) ).
cnf(s1,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(sat_conversion,[],[f54]) ).
cnf(s2,plain,
spl3_1,
inference(sat_conversion,[],[f21632]) ).
cnf(s3,plain,
spl3_2,
inference(sat_conversion,[],[f21648]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
fof(f21649,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL029+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n003.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 22:55:56 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.95/4.01 % (1016650)Detected formulas, will run a generic FOF schedule.
% 20.95/4.01 % (1016758)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=2097631607:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 20.95/4.01 % (1016757)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=1391076079:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 20.95/4.01 % (1016759)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3376511933:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 20.95/4.01 % (1016761)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3638966343:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 20.95/4.01 % (1016755)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=2714088784:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 20.95/4.01 % (1016762)dis-21_1_sil=8000:lcm=predicate:random_seed=2064193498: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)
% 20.95/4.01 % (1016762)Refutation not found, incomplete strategy
% 20.95/4.01 % (1016762)------------------------------
% 20.95/4.01 % (1016762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.95/4.01 % (1016762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.95/4.01 % (1016762)CaDiCaL version: 2.1.3
% 20.95/4.01 % (1016762)Termination reason: Refutation not found, incomplete strategy
% 20.95/4.01 % (1016762)Time elapsed: 0.002 s
% 20.95/4.01 % (1016762)Peak memory usage: 88 MB
% 20.95/4.01 % (1016762)Instructions burned: 2 (million)
% 20.95/4.01 % (1016760)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4144818700:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 20.95/4.01 % (1016759)Instruction limit reached!
% 20.95/4.01 % (1016759)------------------------------
% 20.95/4.01 % (1016759)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.95/4.01 % (1016759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.95/4.01 % (1016759)CaDiCaL version: 2.1.3
% 20.95/4.01 % (1016759)Termination reason: Instruction limit
% 20.95/4.01 % (1016759)Termination phase: Saturation
% 20.95/4.01 % (1016759)Time elapsed: 0.059 s
% 20.95/4.01 % (1016759)Peak memory usage: 89 MB
% 20.95/4.01 % (1016759)Instructions burned: 110 (million)
% 20.95/4.01 % (1016761)Instruction limit reached!
% 20.95/4.01 % (1016761)------------------------------
% 20.95/4.01 % (1016761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.95/4.01 % (1016761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.95/4.01 % (1016761)CaDiCaL version: 2.1.3
% 20.95/4.01 % (1016761)Termination reason: Instruction limit
% 20.95/4.01 % (1016761)Termination phase: Saturation
% 20.95/4.01 % (1016761)Time elapsed: 0.081 s
% 20.95/4.01 % (1016761)Peak memory usage: 90 MB
% 20.95/4.01 % (1016761)Instructions burned: 139 (million)
% 20.95/4.01 % (1016760)Instruction limit reached!
% 20.95/4.01 % (1016760)------------------------------
% 20.95/4.01 % (1016760)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.95/4.01 % (1016760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.95/4.01 % (1016760)CaDiCaL version: 2.1.3
% 20.95/4.01 % (1016760)Termination reason: Instruction limit
% 20.95/4.01 % (1016760)Termination phase: Saturation
% 20.95/4.01 % (1016760)Time elapsed: 0.067 s
% 20.95/4.01 % (1016760)Peak memory usage: 88 MB
% 20.95/4.01 % (1016760)Instructions burned: 121 (million)
% 20.95/4.01 % (1016770)lrs+10_1_sil=8000:sp=occurrence:random_seed=622937827:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 20.95/4.01 % (1016776)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3918798923:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 20.95/4.01 % (1016775)lrs+10_1_sil=32000:urr=on:br=off:random_seed=698831610:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 20.95/4.01 % (1016762)------------------------------
% 20.95/4.01 % (1016762)------------------------------
% 20.95/4.01 % (1016775)Instruction limit reached!
% 20.95/4.01 % (1016775)------------------------------
% 20.95/4.01 % (1016775)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.95/4.01 % (1016775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.95/4.01 % (1016775)CaDiCaL version: 2.1.3
% 20.95/4.01 % (1016775)Termination reason: Instruction limit
% 20.95/4.01 % (1016775)Termination phase: Saturation
% 20.95/4.01 % (1016775)Time elapsed: 0.142 s
% 20.95/4.01 % (1016775)Peak memory usage: 90 MB
% 20.95/4.01 % (1016775)Instructions burned: 157 (million)
% 20.95/4.01 % (1016770)Instruction limit reached!
% 20.95/4.01 % (1016770)------------------------------
% 20.95/4.01 % (1016770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.95/4.01 % (1016770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.95/4.01 % (1016770)CaDiCaL version: 2.1.3
% 20.95/4.01 % (1016770)Termination reason: Instruction limit
% 20.95/4.01 % (1016770)Termination phase: Saturation
% 20.95/4.01 % (1016770)Time elapsed: 0.284 s
% 20.95/4.01 % (1016770)Peak memory usage: 92 MB
% 20.95/4.01 % (1016770)Instructions burned: 285 (million)
% 20.95/4.01 % (1016776)Instruction limit reached!
% 20.95/4.01 % (1016776)------------------------------
% 20.95/4.01 % (1016776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.95/4.01 % (1016776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.95/4.01 % (1016776)CaDiCaL version: 2.1.3
% 20.95/4.01 % (1016776)Termination reason: Instruction limit
% 20.95/4.01 % (1016776)Termination phase: Saturation
% 20.95/4.01 % (1016776)Time elapsed: 0.286 s
% 20.95/4.01 % (1016776)Peak memory usage: 92 MB
% 20.95/4.01 % (1016776)Instructions burned: 326 (million)
% 20.95/4.01 % (1016811)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=3328403844:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 20.95/4.01 % (1016814)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1047694108:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 20.95/4.01 % (1016817)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=744594352:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 20.95/4.01 % (1016811)Instruction limit reached!
% 20.95/4.01 % (1016811)------------------------------
% 20.95/4.01 % (1016811)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.95/4.01 % (1016811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.95/4.01 % (1016811)CaDiCaL version: 2.1.3
% 20.95/4.01 % (1016811)Termination reason: Instruction limit
% 20.95/4.01 % (1016811)Termination phase: Saturation
% 20.95/4.01 % (1016811)Time elapsed: 0.236 s
% 20.95/4.01 % (1016811)Peak memory usage: 91 MB
% 20.95/4.01 % (1016811)Instructions burned: 249 (million)
% 20.95/4.01 % (1016818)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3243785058:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 20.95/4.01 % (1016814)Instruction limit reached!
% 20.95/4.01 % (1016814)------------------------------
% 20.95/4.01 % (1016814)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.95/4.01 % (1016814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.95/4.01 % (1016814)CaDiCaL version: 2.1.3
% 20.95/4.01 % (1016814)Termination reason: Instruction limit
% 20.95/4.01 % (1016814)Termination phase: Saturation
% 20.95/4.01 % (1016814)Time elapsed: 0.237 s
% 20.95/4.01 % (1016814)Peak memory usage: 91 MB
% 20.95/4.01 % (1016814)Instructions burned: 295 (million)
% 20.95/4.01 % (1016818)Instruction limit reached!
% 20.95/4.01 % (1016818)------------------------------
% 20.95/4.01 % (1016818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.95/4.01 % (1016818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.95/4.01 % (1016818)CaDiCaL version: 2.1.3
% 20.95/4.01 % (1016818)Termination reason: Instruction limit
% 20.95/4.01 % (1016818)Termination phase: Saturation
% 20.95/4.01 % (1016818)Time elapsed: 0.101 s
% 20.95/4.01 % (1016818)Peak memory usage: 89 MB
% 20.95/4.01 % (1016818)Instructions burned: 113 (million)
% 20.95/4.01 % (1016826)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=291313913:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 20.95/4.01 % (1016826)Refutation not found, incomplete strategy
% 20.95/4.01 % (1016826)------------------------------
% 20.95/4.01 % (1016826)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.95/4.01 % (1016826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.95/4.01 % (1016826)CaDiCaL version: 2.1.3
% 20.95/4.01 % (1016826)Termination reason: Refutation not found, incomplete strategy
% 20.95/4.01 % (1016826)Time elapsed: 0.002 s
% 20.95/4.01 % (1016826)Peak memory usage: 88 MB
% 20.95/4.01 % (1016826)Instructions burned: 1 (million)
% 20.95/4.01 % (1016831)lrs+10_1_sil=8000:sp=occurrence:random_seed=2022754149:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2988 on theBenchmark for (2988ds/907Mi)
% 20.95/4.01 % (1016830)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4078696979:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2988 on theBenchmark for (2988ds/114Mi)
% 20.95/4.01 % (1016830)Instruction limit reached!
% 20.95/4.01 % (1016830)------------------------------
% 20.95/4.01 % (1016830)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.95/4.01 % (1016830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.95/4.01 % (1016830)CaDiCaL version: 2.1.3
% 20.95/4.01 % (1016830)Termination reason: Instruction limit
% 20.95/4.01 % (1016830)Termination phase: Saturation
% 20.95/4.01 % (1016830)Time elapsed: 0.112 s
% 20.95/4.01 % (1016830)Peak memory usage: 89 MB
% 20.95/4.01 % (1016830)Instructions burned: 115 (million)
% 20.95/4.01 % (1016826)------------------------------
% 20.95/4.01 % (1016826)------------------------------
% 20.95/4.01 % (1016837)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1058462719:i=437:sd=1:aac=none:ss=included_2984 on theBenchmark for (2984ds/437Mi)
% 20.95/4.01 % (1016838)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1379513030:i=5202:ss=axioms:sgt=16_2982 on theBenchmark for (2982ds/5202Mi)
% 20.95/4.01 % (1016837)Instruction limit reached!
% 20.95/4.01 % (1016837)------------------------------
% 20.95/4.01 % (1016837)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.95/4.01 % (1016837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.95/4.01 % (1016837)CaDiCaL version: 2.1.3
% 20.95/4.01 % (1016837)Termination reason: Instruction limit
% 20.95/4.01 % (1016837)Termination phase: Saturation
% 20.95/4.01 % (1016837)Time elapsed: 0.345 s
% 20.95/4.01 % (1016837)Peak memory usage: 90 MB
% 20.95/4.01 % (1016837)Instructions burned: 437 (million)
% 20.95/4.01 % (1016831)Instruction limit reached!
% 20.95/4.01 % (1016831)------------------------------
% 20.95/4.01 % (1016831)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.95/4.01 % (1016831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.95/4.01 % (1016831)CaDiCaL version: 2.1.3
% 20.95/4.01 % (1016831)Termination reason: Instruction limit
% 20.95/4.01 % (1016831)Termination phase: Saturation
% 20.95/4.01 % (1016831)Time elapsed: 0.886 s
% 20.95/4.01 % (1016831)Peak memory usage: 99 MB
% 20.95/4.01 % (1016831)Instructions burned: 907 (million)
% 20.95/4.01 % (1016849)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=252591689:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2977 on theBenchmark for (2977ds/134Mi)
% 20.95/4.01 % (1016849)Refutation not found, incomplete strategy
% 20.95/4.01 % (1016849)------------------------------
% 20.95/4.01 % (1016849)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.95/4.01 % (1016849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.95/4.01 % (1016849)CaDiCaL version: 2.1.3
% 20.95/4.01 % (1016849)Termination reason: Refutation not found, incomplete strategy
% 20.95/4.01 % (1016849)Time elapsed: 0.003 s
% 20.95/4.01 % (1016849)Peak memory usage: 88 MB
% 20.95/4.01 % (1016849)Instructions burned: 1 (million)
% 20.95/4.01 % (1016850)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1605049318:st=8:i=592:sd=3:ep=RST:ss=axioms_2976 on theBenchmark for (2976ds/592Mi)
% 20.95/4.01 % (1016757)First to succeed.
% 20.95/4.01 % (1016757)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1016650"
% 20.95/4.01 % (1016849)------------------------------
% 20.95/4.01 % (1016849)------------------------------
% 20.95/4.01 % (1016757)Refutation found. Thanks to Tanya!
% 20.95/4.01 % SZS status Theorem for theBenchmark
% 20.95/4.01 % SZS output start Proof for theBenchmark
% See solution above
% 22.72/4.25 % (1016757)------------------------------
% 22.72/4.25 % (1016757)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.72/4.25 % (1016757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.72/4.25 % (1016757)CaDiCaL version: 2.1.3
% 22.72/4.25 % (1016757)Termination reason: Refutation
% 22.72/4.25 % (1016757)Time elapsed: 2.521 s
% 22.72/4.25 % (1016757)Peak memory usage: 144 MB
% 22.72/4.25 % (1016757)Instructions burned: 2593 (million)
% 22.72/4.25 % (1016757)------------------------------
% 22.72/4.25 % (1016757)------------------------------
% 22.72/4.25 % (1016650)Success in time 3.137 s
% 22.72/4.25 % Vampire exiting
%------------------------------------------------------------------------------