%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL030+4 : 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 : n020.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 12:33:57 PM UTC 2026
% Result : Theorem 14.38s 3.13s
% Output : Refutation 15.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 57
% Number of leaves : 15
% Syntax : Number of formulae : 194 ( 151 unt; 2 def)
% Number of atoms : 241 ( 197 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 94 ( 47 ~; 39 |; 4 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 8 ( 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 : 275 ( 0 sgn 272 !; 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(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(f17,conjecture,
! [X0,X1,X2] :
( join(X0,one) = one
=> ( join(meet(composition(X0,X1),complement(X2)),meet(composition(X0,X1),complement(composition(X0,X2)))) = meet(composition(X0,X1),complement(composition(X0,X2)))
& join(meet(composition(X0,X1),complement(composition(X0,X2))),meet(composition(X0,X1),complement(X2))) = meet(composition(X0,X1),complement(X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0,X1,X2] :
( join(X0,one) = one
=> ( join(meet(composition(X0,X1),complement(X2)),meet(composition(X0,X1),complement(composition(X0,X2)))) = meet(composition(X0,X1),complement(composition(X0,X2)))
& join(meet(composition(X0,X1),complement(composition(X0,X2))),meet(composition(X0,X1),complement(X2))) = meet(composition(X0,X1),complement(X2)) ) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
? [X0,X1,X2] :
( ( meet(composition(X0,X1),complement(composition(X0,X2))) != join(meet(composition(X0,X1),complement(X2)),meet(composition(X0,X1),complement(composition(X0,X2))))
| meet(composition(X0,X1),complement(X2)) != join(meet(composition(X0,X1),complement(composition(X0,X2))),meet(composition(X0,X1),complement(X2))) )
& join(X0,one) = one ),
inference(ennf_transformation,[],[f18]) ).
fof(f20,plain,
( ( meet(composition(sK0,sK1),complement(composition(sK0,sK2))) != join(meet(composition(sK0,sK1),complement(sK2)),meet(composition(sK0,sK1),complement(composition(sK0,sK2))))
| meet(composition(sK0,sK1),complement(sK2)) != join(meet(composition(sK0,sK1),complement(composition(sK0,sK2))),meet(composition(sK0,sK1),complement(sK2))) )
& one = join(sK0,one) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f19]) ).
fof(f21,plain,
one = join(sK0,one),
inference(cnf_transformation,[],[f20]) ).
fof(f22,plain,
( meet(composition(sK0,sK1),complement(composition(sK0,sK2))) != join(meet(composition(sK0,sK1),complement(sK2)),meet(composition(sK0,sK1),complement(composition(sK0,sK2))))
| meet(composition(sK0,sK1),complement(sK2)) != join(meet(composition(sK0,sK1),complement(composition(sK0,sK2))),meet(composition(sK0,sK1),complement(sK2))) ),
inference(cnf_transformation,[],[f20]) ).
fof(f23,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f24,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f25,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f26,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f27,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f28,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f29,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
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(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,
( complement(join(complement(composition(sK0,sK1)),complement(complement(composition(sK0,sK2))))) != join(complement(join(complement(composition(sK0,sK1)),complement(complement(sK2)))),complement(join(complement(composition(sK0,sK1)),complement(complement(composition(sK0,sK2))))))
| complement(join(complement(composition(sK0,sK1)),complement(complement(sK2)))) != join(complement(join(complement(composition(sK0,sK1)),complement(complement(composition(sK0,sK2))))),complement(join(complement(composition(sK0,sK1)),complement(complement(sK2))))) ),
inference(definition_unfolding,[],[f22,f28,f28,f28,f28,f28,f28]) ).
fof(f40,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f25,f28]) ).
fof(f44,plain,
zero = complement(top),
inference(forward_demodulation,[],[f40,f26]) ).
fof(f45,plain,
( complement(join(complement(composition(sK0,sK1)),complement(complement(composition(sK0,sK2))))) != join(complement(join(complement(complement(sK2)),complement(composition(sK0,sK1)))),complement(join(complement(composition(sK0,sK1)),complement(complement(composition(sK0,sK2))))))
| complement(join(complement(composition(sK0,sK1)),complement(complement(sK2)))) != join(complement(join(complement(composition(sK0,sK1)),complement(complement(composition(sK0,sK2))))),complement(join(complement(composition(sK0,sK1)),complement(complement(sK2))))) ),
inference(forward_demodulation,[],[f39,f24]) ).
fof(f46,plain,
( complement(join(complement(composition(sK0,sK1)),complement(complement(sK2)))) != join(complement(join(complement(composition(sK0,sK1)),complement(complement(sK2)))),complement(join(complement(composition(sK0,sK1)),complement(complement(composition(sK0,sK2))))))
| complement(join(complement(composition(sK0,sK1)),complement(complement(composition(sK0,sK2))))) != join(complement(join(complement(complement(sK2)),complement(composition(sK0,sK1)))),complement(join(complement(composition(sK0,sK1)),complement(complement(composition(sK0,sK2)))))) ),
inference(forward_demodulation,[],[f45,f24]) ).
fof(f47,plain,
( complement(join(complement(complement(sK2)),complement(composition(sK0,sK1)))) != join(complement(join(complement(complement(sK2)),complement(composition(sK0,sK1)))),complement(join(complement(composition(sK0,sK1)),complement(complement(composition(sK0,sK2))))))
| complement(join(complement(composition(sK0,sK1)),complement(complement(composition(sK0,sK2))))) != join(complement(join(complement(complement(sK2)),complement(composition(sK0,sK1)))),complement(join(complement(composition(sK0,sK1)),complement(complement(composition(sK0,sK2)))))) ),
inference(forward_demodulation,[],[f46,f24]) ).
fof(f49,definition,
( spl3_1
<=> complement(join(complement(composition(sK0,sK1)),complement(complement(composition(sK0,sK2))))) = join(complement(join(complement(complement(sK2)),complement(composition(sK0,sK1)))),complement(join(complement(composition(sK0,sK1)),complement(complement(composition(sK0,sK2)))))) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f50,plain,
( complement(join(complement(composition(sK0,sK1)),complement(complement(composition(sK0,sK2))))) != join(complement(join(complement(complement(sK2)),complement(composition(sK0,sK1)))),complement(join(complement(composition(sK0,sK1)),complement(complement(composition(sK0,sK2))))))
| spl3_1 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f52,definition,
( spl3_2
<=> complement(join(complement(complement(sK2)),complement(composition(sK0,sK1)))) = join(complement(join(complement(complement(sK2)),complement(composition(sK0,sK1)))),complement(join(complement(composition(sK0,sK1)),complement(complement(composition(sK0,sK2)))))) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f53,plain,
( complement(join(complement(complement(sK2)),complement(composition(sK0,sK1)))) != join(complement(join(complement(complement(sK2)),complement(composition(sK0,sK1)))),complement(join(complement(composition(sK0,sK1)),complement(complement(composition(sK0,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(f66,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f29,f24]) ).
fof(f74,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(superposition,[],[f24,f29]) ).
fof(f79,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(forward_demodulation,[],[f66,f24]) ).
fof(f90,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(f99,plain,
! [X0,X1] : complement(X1) = join(composition(X0,complement(composition(converse(X0),X1))),complement(X1)),
inference(superposition,[],[f27,f38]) ).
fof(f110,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(X0,complement(composition(converse(X0),X1)))),
inference(forward_demodulation,[],[f99,f24]) ).
fof(f115,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),complement(X1))),join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f23,f29]) ).
fof(f123,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f24,f23]) ).
fof(f125,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(X2,complement(join(complement(X0),complement(X1))))),
inference(forward_demodulation,[],[f115,f123]) ).
fof(f246,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[],[f29,f26]) ).
fof(f251,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(forward_demodulation,[],[f246,f44]) ).
fof(f303,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f62,f35]) ).
fof(f315,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f303,f38]) ).
fof(f329,plain,
one = converse(one),
inference(superposition,[],[f35,f315]) ).
fof(f405,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f90,f33]) ).
fof(f415,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f405,f37]) ).
fof(f422,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f415,f37]) ).
fof(f427,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f422,f33]) ).
fof(f494,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f315,f329]) ).
fof(f515,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(converse(one),X0))),
inference(superposition,[],[f110,f494]) ).
fof(f518,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f515,f315]) ).
fof(f538,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,[],[f125,f518]) ).
fof(f542,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f538,f74]) ).
fof(f580,plain,
! [X0] : join(X0,complement(top)) = X0,
inference(superposition,[],[f542,f26]) ).
fof(f581,plain,
! [X0] : join(X0,complement(complement(X0))) = X0,
inference(superposition,[],[f542,f542]) ).
fof(f583,plain,
! [X0,X1] : join(X1,complement(join(complement(X0),complement(X1)))) = X1,
inference(superposition,[],[f542,f24]) ).
fof(f585,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),X0) = join(X0,X0),
inference(superposition,[],[f125,f542]) ).
fof(f609,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = join(X0,X0),
inference(forward_demodulation,[],[f585,f24]) ).
fof(f610,plain,
! [X0] : join(X0,zero) = X0,
inference(forward_demodulation,[],[f580,f44]) ).
fof(f686,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f24,f610]) ).
fof(f854,plain,
! [X0] : complement(join(complement(X0),complement(X0))) = X0,
inference(superposition,[],[f686,f251]) ).
fof(f855,plain,
! [X0] : join(X0,zero) = join(complement(join(complement(X0),X0)),X0),
inference(superposition,[],[f125,f251]) ).
fof(f861,plain,
! [X0] : join(X0,zero) = join(X0,complement(join(complement(X0),X0))),
inference(forward_demodulation,[],[f855,f24]) ).
fof(f862,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f854,f518]) ).
fof(f867,plain,
! [X0] : join(X0,X0) = join(X0,zero),
inference(forward_demodulation,[],[f861,f609]) ).
fof(f871,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[],[f867,f610]) ).
fof(f884,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(X1),X0))),
inference(superposition,[],[f79,f862]) ).
fof(f896,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f583,f862]) ).
fof(f910,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X1,X0))),
inference(superposition,[],[f896,f862]) ).
fof(f1393,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(join(complement(join(complement(X1),X0)),join(X0,X1))),complement(complement(X0))),
inference(superposition,[],[f79,f884]) ).
fof(f1395,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),complement(join(complement(join(X0,X1)),join(complement(X1),X0)))),
inference(superposition,[],[f29,f884]) ).
fof(f1420,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),complement(join(X0,join(complement(join(X0,X1)),complement(X1))))),
inference(forward_demodulation,[],[f1395,f123]) ).
fof(f1422,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(complement(join(complement(X1),X0)),join(X0,X1)))),
inference(forward_demodulation,[],[f1393,f24]) ).
fof(f1470,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),complement(join(X0,join(complement(X1),complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f1420,f24]) ).
fof(f1472,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(join(X0,X1),complement(join(complement(X1),X0))))),
inference(forward_demodulation,[],[f1422,f24]) ).
fof(f1509,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),complement(join(X0,complement(X1)))),
inference(forward_demodulation,[],[f1470,f910]) ).
fof(f1511,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(X0,join(X1,complement(join(complement(X1),X0)))))),
inference(forward_demodulation,[],[f1472,f23]) ).
fof(f1539,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(X0,complement(X1)))),
inference(forward_demodulation,[],[f1509,f862]) ).
fof(f1541,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(X0,join(X1,X1)))),
inference(forward_demodulation,[],[f1511,f609]) ).
fof(f1563,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(X0,X1))),
inference(forward_demodulation,[],[f1541,f871]) ).
fof(f1576,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f1563,f862]) ).
fof(f1586,plain,
! [X0,X1] : join(complement(X0),X1) = join(X1,complement(join(X0,X1))),
inference(superposition,[],[f1576,f24]) ).
fof(f1628,plain,
! [X2,X0,X1] : join(X2,join(complement(X0),X1)) = join(X1,join(complement(join(X1,X0)),X2)),
inference(superposition,[],[f123,f1576]) ).
fof(f1967,plain,
! [X0,X1] : join(X1,complement(X0)) = join(X1,complement(join(X1,X0))),
inference(superposition,[],[f1539,f862]) ).
fof(f2006,plain,
! [X2,X0,X1] : join(X2,join(X0,X1)) = join(X0,join(complement(join(X0,complement(X1))),X2)),
inference(superposition,[],[f123,f1539]) ).
fof(f2049,plain,
! [X2,X0,X1] : join(X2,join(X0,X1)) = join(X2,join(complement(complement(X1)),X0)),
inference(forward_demodulation,[],[f2006,f1628]) ).
fof(f2101,plain,
! [X2,X0,X1] : join(X2,join(X0,X1)) = join(X2,join(X1,X0)),
inference(forward_demodulation,[],[f2049,f862]) ).
fof(f3031,plain,
! [X2,X0,X1] : join(X0,complement(join(X0,join(X1,X2)))) = join(X0,complement(join(X2,X1))),
inference(superposition,[],[f1967,f2101]) ).
fof(f3051,plain,
! [X2,X0,X1] : join(complement(join(X1,X2)),X0) = join(X0,complement(join(X2,X1))),
inference(forward_demodulation,[],[f3031,f1576]) ).
fof(f3203,plain,
! [X2,X3,X0,X1] : join(complement(join(X0,X1)),complement(join(X2,X3))) = join(complement(join(X1,X0)),complement(join(X3,X2))),
inference(superposition,[],[f3051,f3051]) ).
fof(f3226,plain,
! [X2,X0,X1] : join(X0,complement(join(X2,X1))) = join(X0,complement(join(X1,X2))),
inference(superposition,[],[f24,f3051]) ).
fof(f3247,plain,
! [X0,X1] : complement(join(X1,X0)) = join(zero,complement(join(X0,X1))),
inference(superposition,[],[f610,f3051]) ).
fof(f3304,plain,
! [X0,X1] : complement(join(X0,X1)) = complement(join(X1,X0)),
inference(forward_demodulation,[],[f3247,f686]) ).
fof(f3894,plain,
! [X2,X3,X0,X1] : join(complement(join(X0,X1)),complement(join(X2,X3))) = join(complement(join(X3,X2)),complement(join(X1,X0))),
inference(superposition,[],[f3051,f3226]) ).
fof(f4932,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f38,f427]) ).
fof(f4938,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f4932,f38]) ).
fof(f4968,plain,
! [X0,X1] : join(X0,composition(X0,X1)) = composition(X0,join(one,X1)),
inference(superposition,[],[f4938,f35]) ).
fof(f4972,plain,
! [X0,X1] : join(composition(X0,X1),X0) = composition(X0,join(X1,one)),
inference(superposition,[],[f4938,f35]) ).
fof(f5019,plain,
! [X0,X1] : join(X0,composition(X0,X1)) = composition(X0,join(X1,one)),
inference(forward_demodulation,[],[f4972,f24]) ).
fof(f5727,plain,
! [X0] : composition(X0,one) = join(X0,composition(X0,sK0)),
inference(superposition,[],[f5019,f21]) ).
fof(f5805,plain,
! [X0] : join(X0,composition(X0,sK0)) = X0,
inference(forward_demodulation,[],[f5727,f35]) ).
fof(f6039,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(composition(converse(X0),sK0))),
inference(superposition,[],[f55,f5805]) ).
fof(f6056,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(converse(sK0),X0)),
inference(forward_demodulation,[],[f6039,f62]) ).
fof(f6083,plain,
! [X0] : join(X0,composition(converse(sK0),X0)) = X0,
inference(forward_demodulation,[],[f6056,f38]) ).
fof(f6134,plain,
! [X0] : composition(X0,one) = join(X0,composition(X0,composition(converse(sK0),one))),
inference(superposition,[],[f4968,f6083]) ).
fof(f6138,plain,
! [X0] : composition(X0,one) = join(X0,composition(X0,converse(sK0))),
inference(forward_demodulation,[],[f6134,f35]) ).
fof(f6163,plain,
! [X0] : join(X0,composition(X0,converse(sK0))) = X0,
inference(forward_demodulation,[],[f6138,f35]) ).
fof(f6223,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(composition(converse(X0),converse(sK0)))),
inference(superposition,[],[f55,f6163]) ).
fof(f6225,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(converse(converse(sK0)),X0)),
inference(forward_demodulation,[],[f6223,f62]) ).
fof(f6257,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(sK0,X0)),
inference(forward_demodulation,[],[f6225,f38]) ).
fof(f6277,plain,
! [X0] : join(X0,composition(sK0,X0)) = X0,
inference(forward_demodulation,[],[f6257,f38]) ).
fof(f6290,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(composition(sK0,X0),X1)),
inference(superposition,[],[f23,f6277]) ).
fof(f6291,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(composition(sK0,X0),X1)),
inference(superposition,[],[f123,f6277]) ).
fof(f6311,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(complement(join(composition(sK0,complement(X0)),X0)),complement(complement(X0))),
inference(superposition,[],[f884,f6277]) ).
fof(f6322,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(complement(complement(X0)),complement(join(X0,composition(sK0,complement(X0))))),
inference(forward_demodulation,[],[f6311,f3051]) ).
fof(f6344,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(X0,complement(join(X0,composition(sK0,complement(X0))))),
inference(forward_demodulation,[],[f6322,f862]) ).
fof(f6355,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(complement(composition(sK0,complement(X0))),X0),
inference(forward_demodulation,[],[f6344,f1576]) ).
fof(f6359,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(X0,complement(composition(sK0,complement(X0)))),
inference(forward_demodulation,[],[f6355,f24]) ).
fof(f6486,plain,
! [X0,X1] : join(X0,composition(sK0,X1)) = join(X0,composition(sK0,join(X0,X1))),
inference(superposition,[],[f6290,f4938]) ).
fof(f6676,plain,
! [X0] : join(X0,composition(sK0,complement(X0))) = join(X0,composition(sK0,top)),
inference(superposition,[],[f6486,f26]) ).
fof(f6684,plain,
! [X2,X0,X1] : join(X0,composition(sK0,complement(join(X2,X1)))) = join(X0,composition(sK0,join(X0,complement(join(X1,X2))))),
inference(superposition,[],[f6486,f3226]) ).
fof(f6812,plain,
! [X2,X0,X1] : join(X0,composition(sK0,complement(join(X2,X1)))) = join(X0,composition(sK0,complement(join(X1,X2)))),
inference(forward_demodulation,[],[f6684,f6486]) ).
fof(f6969,plain,
! [X0,X1] : join(X0,composition(sK0,join(X0,X1))) = join(composition(sK0,X1),X0),
inference(superposition,[],[f6291,f4938]) ).
fof(f7216,plain,
! [X2,X0,X1] : join(X0,composition(sK0,join(X0,complement(join(X1,X2))))) = join(composition(sK0,complement(join(X2,X1))),X0),
inference(superposition,[],[f6969,f3226]) ).
fof(f7370,plain,
! [X2,X0,X1] : join(X0,composition(sK0,complement(join(X1,X2)))) = join(composition(sK0,complement(join(X2,X1))),X0),
inference(forward_demodulation,[],[f7216,f6486]) ).
fof(f7644,plain,
! [X0] : join(X0,complement(composition(sK0,complement(X0)))) = join(X0,complement(join(X0,composition(sK0,top)))),
inference(superposition,[],[f1967,f6676]) ).
fof(f7688,plain,
! [X0] : join(X0,complement(composition(sK0,complement(X0)))) = join(complement(composition(sK0,top)),X0),
inference(forward_demodulation,[],[f7644,f1576]) ).
fof(f7719,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(complement(composition(sK0,top)),X0),
inference(forward_demodulation,[],[f7688,f6359]) ).
fof(f7869,plain,
! [X0,X1] : complement(composition(sK0,complement(join(X0,X1)))) = join(X1,join(complement(composition(sK0,top)),X0)),
inference(superposition,[],[f123,f7719]) ).
fof(f7938,plain,
! [X0,X1] : complement(composition(sK0,complement(join(X0,X1)))) = join(X1,complement(composition(sK0,complement(X0)))),
inference(forward_demodulation,[],[f7869,f7719]) ).
fof(f8204,plain,
! [X0,X1] : join(X1,complement(composition(sK0,X0))) = complement(composition(sK0,complement(join(complement(X0),X1)))),
inference(superposition,[],[f7938,f862]) ).
fof(f8500,plain,
! [X0,X1] : complement(composition(sK0,complement(join(complement(X0),complement(X1))))) = join(complement(join(X0,complement(X1))),complement(composition(sK0,X1))),
inference(superposition,[],[f8204,f1586]) ).
fof(f8528,plain,
! [X0,X1] : join(X0,complement(composition(sK0,X1))) = complement(composition(sK0,complement(join(X0,complement(X1))))),
inference(superposition,[],[f8204,f3304]) ).
fof(f8553,plain,
! [X0,X1] : composition(sK0,complement(join(complement(X1),X0))) = join(composition(sK0,complement(join(complement(X1),X0))),complement(join(X0,complement(composition(sK0,X1))))),
inference(superposition,[],[f581,f8204]) ).
fof(f8557,plain,
! [X0,X1] : composition(sK0,complement(join(complement(X1),X0))) = complement(join(X0,complement(composition(sK0,X1)))),
inference(superposition,[],[f862,f8204]) ).
fof(f8583,plain,
! [X0,X1] : composition(sK0,complement(join(complement(X1),X0))) = join(complement(join(X0,complement(composition(sK0,X1)))),composition(sK0,complement(join(X0,complement(X1))))),
inference(forward_demodulation,[],[f8553,f7370]) ).
fof(f8631,plain,
! [X0,X1] : complement(composition(sK0,complement(join(complement(X0),complement(X1))))) = join(complement(composition(sK0,X1)),complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f8500,f3051]) ).
fof(f8671,plain,
! [X0,X1] : complement(join(X0,complement(composition(sK0,X1)))) = join(complement(join(X0,complement(composition(sK0,X1)))),composition(sK0,complement(join(X0,complement(X1))))),
inference(forward_demodulation,[],[f8583,f8557]) ).
fof(f8709,plain,
! [X0,X1] : join(complement(X0),complement(composition(sK0,X1))) = join(complement(composition(sK0,X1)),complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f8631,f8528]) ).
fof(f8836,plain,
! [X0,X1] : join(complement(X1),complement(composition(sK0,X0))) = join(complement(X0),complement(composition(sK0,X1))),
inference(superposition,[],[f8204,f8528]) ).
fof(f8865,plain,
! [X0,X1] : composition(sK0,complement(join(X0,complement(X1)))) = complement(join(X0,complement(composition(sK0,X1)))),
inference(superposition,[],[f862,f8528]) ).
fof(f9088,plain,
( complement(join(complement(composition(sK0,sK1)),complement(complement(composition(sK0,sK2))))) != join(complement(join(complement(sK1),complement(composition(sK0,complement(sK2))))),complement(join(complement(composition(sK0,sK1)),complement(complement(composition(sK0,sK2))))))
| spl3_1 ),
inference(superposition,[],[f50,f8836]) ).
fof(f9174,plain,
! [X0,X1] : join(complement(complement(X1)),complement(composition(sK0,X0))) = join(complement(composition(sK0,X0)),complement(join(complement(X0),complement(composition(sK0,X1))))),
inference(superposition,[],[f1586,f8836]) ).
fof(f9184,plain,
! [X0,X1] : complement(join(complement(composition(sK0,X0)),complement(X1))) = complement(join(complement(X0),complement(composition(sK0,X1)))),
inference(superposition,[],[f3304,f8836]) ).
fof(f9192,plain,
! [X0,X1] : join(complement(complement(X1)),complement(composition(sK0,X0))) = join(complement(complement(composition(sK0,X1))),complement(composition(sK0,X0))),
inference(forward_demodulation,[],[f9174,f8709]) ).
fof(f9250,plain,
( complement(join(complement(sK1),complement(composition(sK0,complement(composition(sK0,sK2)))))) != join(complement(join(complement(sK1),complement(composition(sK0,complement(sK2))))),complement(join(complement(sK1),complement(composition(sK0,complement(composition(sK0,sK2)))))))
| spl3_1 ),
inference(forward_demodulation,[],[f9088,f9184]) ).
fof(f9277,plain,
! [X0,X1] : join(composition(sK0,X1),complement(composition(sK0,X0))) = join(complement(complement(X1)),complement(composition(sK0,X0))),
inference(forward_demodulation,[],[f9192,f862]) ).
fof(f9304,plain,
( complement(complement(composition(sK0,complement(join(composition(sK0,sK2),complement(sK1)))))) != join(complement(join(complement(sK1),complement(composition(sK0,complement(sK2))))),complement(complement(composition(sK0,complement(join(composition(sK0,sK2),complement(sK1)))))))
| spl3_1 ),
inference(forward_demodulation,[],[f9250,f7938]) ).
fof(f9320,plain,
! [X0,X1] : join(X1,complement(composition(sK0,X0))) = join(composition(sK0,X1),complement(composition(sK0,X0))),
inference(forward_demodulation,[],[f9277,f862]) ).
fof(f9345,plain,
( composition(sK0,complement(join(composition(sK0,sK2),complement(sK1)))) != join(complement(join(complement(sK1),complement(composition(sK0,complement(sK2))))),composition(sK0,complement(join(composition(sK0,sK2),complement(sK1)))))
| spl3_1 ),
inference(forward_demodulation,[],[f9304,f862]) ).
fof(f9361,plain,
( composition(sK0,complement(join(composition(sK0,sK2),complement(sK1)))) != join(complement(join(complement(sK1),complement(composition(sK0,complement(sK2))))),composition(sK0,complement(join(complement(sK1),composition(sK0,sK2)))))
| spl3_1 ),
inference(forward_demodulation,[],[f9345,f6812]) ).
fof(f9373,plain,
( composition(sK0,complement(join(composition(sK0,sK2),complement(sK1)))) != join(complement(join(complement(sK1),complement(composition(sK0,complement(sK2))))),complement(join(composition(sK0,sK2),complement(composition(sK0,sK1)))))
| spl3_1 ),
inference(forward_demodulation,[],[f9361,f8557]) ).
fof(f9381,plain,
( composition(sK0,complement(join(composition(sK0,sK2),complement(sK1)))) != join(complement(join(complement(sK1),complement(composition(sK0,complement(sK2))))),complement(join(sK2,complement(composition(sK0,sK1)))))
| spl3_1 ),
inference(forward_demodulation,[],[f9373,f9320]) ).
fof(f9387,plain,
( composition(sK0,complement(join(composition(sK0,sK2),complement(sK1)))) != join(complement(join(complement(composition(sK0,sK1)),sK2)),complement(join(complement(composition(sK0,complement(sK2))),complement(sK1))))
| spl3_1 ),
inference(forward_demodulation,[],[f9381,f3894]) ).
fof(f9389,plain,
( composition(sK0,complement(join(composition(sK0,sK2),complement(sK1)))) != join(complement(join(sK2,complement(composition(sK0,sK1)))),complement(join(complement(sK1),complement(composition(sK0,complement(sK2))))))
| spl3_1 ),
inference(forward_demodulation,[],[f9387,f3203]) ).
fof(f9391,plain,
( composition(sK0,complement(join(composition(sK0,sK2),complement(sK1)))) != join(complement(join(sK2,complement(composition(sK0,sK1)))),complement(complement(composition(sK0,complement(join(sK2,complement(sK1)))))))
| spl3_1 ),
inference(forward_demodulation,[],[f9389,f7938]) ).
fof(f9393,plain,
( composition(sK0,complement(join(composition(sK0,sK2),complement(sK1)))) != join(complement(join(sK2,complement(composition(sK0,sK1)))),composition(sK0,complement(join(sK2,complement(sK1)))))
| spl3_1 ),
inference(forward_demodulation,[],[f9391,f862]) ).
fof(f9395,plain,
( complement(join(sK2,complement(composition(sK0,sK1)))) != composition(sK0,complement(join(composition(sK0,sK2),complement(sK1))))
| spl3_1 ),
inference(forward_demodulation,[],[f9393,f8671]) ).
fof(f9397,plain,
( complement(join(sK2,complement(composition(sK0,sK1)))) != complement(join(composition(sK0,sK2),complement(composition(sK0,sK1))))
| spl3_1 ),
inference(forward_demodulation,[],[f9395,f8865]) ).
fof(f9401,plain,
( complement(join(sK2,complement(composition(sK0,sK1)))) != complement(join(sK2,complement(composition(sK0,sK1))))
| spl3_1 ),
inference(forward_demodulation,[],[f9397,f9320]) ).
fof(f9402,plain,
( $false
| spl3_1 ),
inference(trivial_inequality_removal,[],[f9401]) ).
fof(f9403,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f9402]) ).
fof(f9404,plain,
( complement(join(complement(complement(sK2)),complement(composition(sK0,sK1)))) != join(complement(join(complement(complement(sK2)),complement(composition(sK0,sK1)))),complement(join(complement(sK1),complement(composition(sK0,complement(composition(sK0,sK2)))))))
| spl3_2 ),
inference(forward_demodulation,[],[f53,f9184]) ).
fof(f9405,plain,
( complement(join(complement(complement(sK2)),complement(composition(sK0,sK1)))) != join(complement(join(complement(complement(sK2)),complement(composition(sK0,sK1)))),complement(complement(composition(sK0,complement(join(composition(sK0,sK2),complement(sK1)))))))
| spl3_2 ),
inference(forward_demodulation,[],[f9404,f7938]) ).
fof(f9406,plain,
( complement(join(complement(complement(sK2)),complement(composition(sK0,sK1)))) != join(complement(join(complement(complement(sK2)),complement(composition(sK0,sK1)))),composition(sK0,complement(join(composition(sK0,sK2),complement(sK1)))))
| spl3_2 ),
inference(forward_demodulation,[],[f9405,f862]) ).
fof(f9407,plain,
( complement(join(complement(complement(sK2)),complement(composition(sK0,sK1)))) != join(complement(join(complement(complement(sK2)),complement(composition(sK0,sK1)))),composition(sK0,complement(join(complement(sK1),composition(sK0,sK2)))))
| spl3_2 ),
inference(forward_demodulation,[],[f9406,f6812]) ).
fof(f9408,plain,
( complement(join(complement(complement(sK2)),complement(composition(sK0,sK1)))) != join(complement(join(complement(complement(sK2)),complement(composition(sK0,sK1)))),complement(join(composition(sK0,sK2),complement(composition(sK0,sK1)))))
| spl3_2 ),
inference(forward_demodulation,[],[f9407,f8557]) ).
fof(f9409,plain,
( complement(join(complement(complement(sK2)),complement(composition(sK0,sK1)))) != join(complement(join(complement(complement(sK2)),complement(composition(sK0,sK1)))),complement(join(sK2,complement(composition(sK0,sK1)))))
| spl3_2 ),
inference(forward_demodulation,[],[f9408,f9320]) ).
fof(f9410,plain,
( complement(join(complement(complement(sK2)),complement(composition(sK0,sK1)))) != join(complement(join(complement(composition(sK0,sK1)),sK2)),complement(join(complement(composition(sK0,sK1)),complement(complement(sK2)))))
| spl3_2 ),
inference(forward_demodulation,[],[f9409,f3894]) ).
fof(f9411,plain,
( complement(join(complement(complement(sK2)),complement(composition(sK0,sK1)))) != join(complement(join(sK2,complement(composition(sK0,sK1)))),complement(join(complement(complement(sK2)),complement(composition(sK0,sK1)))))
| spl3_2 ),
inference(forward_demodulation,[],[f9410,f3203]) ).
fof(f9412,plain,
( complement(join(complement(sK1),complement(composition(sK0,complement(sK2))))) != join(complement(join(sK2,complement(composition(sK0,sK1)))),complement(join(complement(sK1),complement(composition(sK0,complement(sK2))))))
| spl3_2 ),
inference(forward_demodulation,[],[f9411,f8836]) ).
fof(f9413,plain,
( complement(complement(composition(sK0,complement(join(sK2,complement(sK1)))))) != join(complement(join(sK2,complement(composition(sK0,sK1)))),complement(complement(composition(sK0,complement(join(sK2,complement(sK1)))))))
| spl3_2 ),
inference(forward_demodulation,[],[f9412,f7938]) ).
fof(f9414,plain,
( composition(sK0,complement(join(sK2,complement(sK1)))) != join(complement(join(sK2,complement(composition(sK0,sK1)))),composition(sK0,complement(join(sK2,complement(sK1)))))
| spl3_2 ),
inference(forward_demodulation,[],[f9413,f862]) ).
fof(f9415,plain,
( complement(join(sK2,complement(composition(sK0,sK1)))) != composition(sK0,complement(join(sK2,complement(sK1))))
| spl3_2 ),
inference(forward_demodulation,[],[f9414,f8671]) ).
fof(f9416,plain,
( $false
| spl3_2 ),
inference(forward_subsumption_resolution,[],[f9415,f8865]) ).
fof(f9417,plain,
spl3_2,
inference(avatar_contradiction_clause,[],[f9416]) ).
cnf(s1,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(sat_conversion,[],[f54]) ).
cnf(s3,plain,
spl3_1,
inference(sat_conversion,[],[f9403]) ).
cnf(s4,plain,
spl3_2,
inference(sat_conversion,[],[f9417]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s4,s3]) ).
fof(f9418,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : REL030+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.42 % Computer : n020.cluster.edu
% 0.18/0.42 % Model : x86_64 x86_64
% 0.18/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.42 % Memory : 8046.5625MB
% 0.18/0.42 % OS : Linux 6.8.0-71-generic
% 0.18/0.42 % CPULimit : 300
% 0.18/0.42 % WCLimit : 300
% 0.18/0.42 % DateTime : Sun Sep 27 22:55:35 UTC 2026
% 0.18/0.43 % CPUTime :
% 0.18/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.49 Running first-order theorem proving
% 0.18/0.49 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
% 14.38/3.13 % (3861008)Detected formulas, will run a generic FOF schedule.
% 14.38/3.13 % (3861022)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=4003169240:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 14.38/3.13 % (3861025)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4015153199:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 14.38/3.13 % (3861021)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=1242424554:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 14.38/3.13 % (3861026)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=8442332:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 14.38/3.13 % (3861024)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2145630422:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 14.38/3.13 % (3861027)dis-21_1_sil=8000:lcm=predicate:random_seed=2650454288: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)
% 14.38/3.13 % (3861023)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=847058971:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 14.38/3.13 % (3861025)Instruction limit reached!
% 14.38/3.13 % (3861025)------------------------------
% 14.38/3.13 % (3861025)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.38/3.13 % (3861025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.38/3.13 % (3861025)CaDiCaL version: 2.1.3
% 14.38/3.13 % (3861025)Termination reason: Instruction limit
% 14.38/3.13 % (3861025)Termination phase: Saturation
% 14.38/3.13 % (3861025)Time elapsed: 0.075 s
% 14.38/3.13 % (3861025)Peak memory usage: 89 MB
% 14.38/3.13 % (3861025)Instructions burned: 119 (million)
% 14.38/3.13 % (3861027)Refutation not found, incomplete strategy
% 14.38/3.13 % (3861027)------------------------------
% 14.38/3.13 % (3861027)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.38/3.13 % (3861027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.38/3.13 % (3861027)CaDiCaL version: 2.1.3
% 14.38/3.13 % (3861027)Termination reason: Refutation not found, incomplete strategy
% 14.38/3.13 % (3861027)Time elapsed: 0.003 s
% 14.38/3.13 % (3861027)Peak memory usage: 88 MB
% 14.38/3.13 % (3861027)Instructions burned: 2 (million)
% 14.38/3.13 % (3861024)Instruction limit reached!
% 14.38/3.13 % (3861024)------------------------------
% 14.38/3.13 % (3861024)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.38/3.13 % (3861024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.38/3.13 % (3861024)CaDiCaL version: 2.1.3
% 14.38/3.13 % (3861024)Termination reason: Instruction limit
% 14.38/3.13 % (3861024)Termination phase: Saturation
% 14.38/3.13 % (3861024)Time elapsed: 0.100 s
% 14.38/3.13 % (3861024)Peak memory usage: 90 MB
% 14.38/3.13 % (3861024)Instructions burned: 109 (million)
% 14.38/3.13 % (3861026)Instruction limit reached!
% 14.38/3.13 % (3861026)------------------------------
% 14.38/3.13 % (3861026)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.38/3.13 % (3861026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.38/3.13 % (3861026)CaDiCaL version: 2.1.3
% 14.38/3.13 % (3861026)Termination reason: Instruction limit
% 14.38/3.13 % (3861026)Termination phase: Saturation
% 14.38/3.13 % (3861026)Time elapsed: 0.133 s
% 14.38/3.13 % (3861026)Peak memory usage: 90 MB
% 14.38/3.13 % (3861026)Instructions burned: 140 (million)
% 14.38/3.13 % (3861037)lrs+10_1_sil=8000:sp=occurrence:random_seed=2558122031:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 14.38/3.13 % (3861039)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1552655680:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 14.38/3.13 % (3861038)lrs+10_1_sil=32000:urr=on:br=off:random_seed=508463021:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 14.38/3.13 % (3861027)------------------------------
% 14.38/3.13 % (3861027)------------------------------
% 14.38/3.13 % (3861037)Instruction limit reached!
% 14.38/3.13 % (3861037)------------------------------
% 14.38/3.13 % (3861037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.38/3.13 % (3861037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.38/3.13 % (3861037)CaDiCaL version: 2.1.3
% 14.38/3.13 % (3861037)Termination reason: Instruction limit
% 14.38/3.13 % (3861037)Termination phase: Saturation
% 14.38/3.13 % (3861037)Time elapsed: 0.274 s
% 14.38/3.13 % (3861037)Peak memory usage: 91 MB
% 14.38/3.13 % (3861037)Instructions burned: 285 (million)
% 14.38/3.13 % (3861038)Instruction limit reached!
% 14.38/3.13 % (3861038)------------------------------
% 14.38/3.13 % (3861038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.38/3.13 % (3861038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.38/3.13 % (3861038)CaDiCaL version: 2.1.3
% 14.38/3.13 % (3861038)Termination reason: Instruction limit
% 14.38/3.13 % (3861038)Termination phase: Saturation
% 14.38/3.13 % (3861038)Time elapsed: 0.150 s
% 14.38/3.13 % (3861038)Peak memory usage: 90 MB
% 14.38/3.13 % (3861038)Instructions burned: 157 (million)
% 14.38/3.13 % (3861039)Instruction limit reached!
% 14.38/3.13 % (3861039)------------------------------
% 14.38/3.13 % (3861039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.38/3.13 % (3861039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.38/3.13 % (3861039)CaDiCaL version: 2.1.3
% 14.38/3.13 % (3861039)Termination reason: Instruction limit
% 14.38/3.13 % (3861039)Termination phase: Saturation
% 14.38/3.13 % (3861039)Time elapsed: 0.221 s
% 14.38/3.13 % (3861039)Peak memory usage: 92 MB
% 14.38/3.13 % (3861039)Instructions burned: 325 (million)
% 14.38/3.13 % (3861043)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=3689016591:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 14.38/3.13 % (3861046)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2816316144:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 14.38/3.13 % (3861044)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=609538381:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 14.38/3.13 % (3861045)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3869742415:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 14.38/3.13 % (3861043)Instruction limit reached!
% 14.38/3.13 % (3861043)------------------------------
% 14.38/3.13 % (3861043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.38/3.13 % (3861043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.38/3.13 % (3861043)CaDiCaL version: 2.1.3
% 14.38/3.13 % (3861043)Termination reason: Instruction limit
% 14.38/3.13 % (3861043)Termination phase: Saturation
% 14.38/3.13 % (3861043)Time elapsed: 0.139 s
% 14.38/3.13 % (3861043)Peak memory usage: 92 MB
% 14.38/3.13 % (3861043)Instructions burned: 252 (million)
% 14.38/3.13 % (3861046)Instruction limit reached!
% 14.38/3.13 % (3861046)------------------------------
% 14.38/3.13 % (3861046)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.38/3.13 % (3861046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.38/3.13 % (3861046)CaDiCaL version: 2.1.3
% 14.38/3.13 % (3861046)Termination reason: Instruction limit
% 14.38/3.13 % (3861046)Termination phase: Saturation
% 14.38/3.13 % (3861046)Time elapsed: 0.104 s
% 14.38/3.13 % (3861046)Peak memory usage: 89 MB
% 14.38/3.13 % (3861046)Instructions burned: 113 (million)
% 14.38/3.13 % (3861051)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=160326929:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 14.38/3.13 % (3861051)Refutation not found, incomplete strategy
% 14.38/3.13 % (3861051)------------------------------
% 14.38/3.13 % (3861051)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.38/3.13 % (3861051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.38/3.13 % (3861051)CaDiCaL version: 2.1.3
% 14.38/3.13 % (3861051)Termination reason: Refutation not found, incomplete strategy
% 14.38/3.13 % (3861051)Time elapsed: 0.001 s
% 14.38/3.13 % (3861051)Peak memory usage: 88 MB
% 14.38/3.13 % (3861051)Instructions burned: 1 (million)
% 14.38/3.13 % (3861044)Instruction limit reached!
% 14.38/3.13 % (3861044)------------------------------
% 14.38/3.13 % (3861044)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.38/3.13 % (3861044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.38/3.13 % (3861044)CaDiCaL version: 2.1.3
% 14.38/3.13 % (3861044)Termination reason: Instruction limit
% 14.38/3.13 % (3861044)Termination phase: Saturation
% 14.38/3.13 % (3861044)Time elapsed: 0.285 s
% 14.38/3.13 % (3861044)Peak memory usage: 91 MB
% 14.38/3.13 % (3861044)Instructions burned: 295 (million)
% 14.38/3.13 % (3861052)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1919592202:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 14.38/3.13 % (3861052)Instruction limit reached!
% 14.38/3.13 % (3861052)------------------------------
% 14.38/3.13 % (3861052)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.38/3.13 % (3861052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.38/3.13 % (3861052)CaDiCaL version: 2.1.3
% 14.38/3.13 % (3861052)Termination reason: Instruction limit
% 14.38/3.13 % (3861052)Termination phase: Saturation
% 14.38/3.13 % (3861052)Time elapsed: 0.118 s
% 14.38/3.13 % (3861052)Peak memory usage: 89 MB
% 14.38/3.13 % (3861052)Instructions burned: 114 (million)
% 14.38/3.13 % (3861051)------------------------------
% 14.38/3.13 % (3861051)------------------------------
% 14.38/3.13 % (3861055)lrs+10_1_sil=8000:sp=occurrence:random_seed=3033063411:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2988 on theBenchmark for (2988ds/907Mi)
% 14.38/3.13 % (3861057)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1847682143:i=5202:ss=axioms:sgt=16_2986 on theBenchmark for (2986ds/5202Mi)
% 14.38/3.13 % (3861056)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1145144315:i=437:sd=1:aac=none:ss=included_2986 on theBenchmark for (2986ds/437Mi)
% 14.38/3.13 % (3861022)First to succeed.
% 14.38/3.13 % (3861022)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3861008"
% 14.38/3.13 % (3861056)Instruction limit reached!
% 14.38/3.13 % (3861056)------------------------------
% 14.38/3.13 % (3861056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.38/3.13 % (3861056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.38/3.13 % (3861056)CaDiCaL version: 2.1.3
% 14.38/3.13 % (3861056)Termination reason: Instruction limit
% 14.38/3.13 % (3861056)Termination phase: Saturation
% 14.38/3.13 % (3861056)Time elapsed: 0.360 s
% 14.38/3.13 % (3861056)Peak memory usage: 90 MB
% 14.38/3.13 % (3861056)Instructions burned: 437 (million)
% 14.38/3.13 % (3861022)Refutation found. Thanks to Tanya!
% 14.38/3.13 % SZS status Theorem for theBenchmark
% 14.38/3.13 % SZS output start Proof for theBenchmark
% See solution above
% 15.18/3.38 % (3861022)------------------------------
% 15.18/3.38 % (3861022)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.18/3.38 % (3861022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.18/3.38 % (3861022)CaDiCaL version: 2.1.3
% 15.18/3.38 % (3861022)Termination reason: Refutation
% 15.18/3.38 % (3861022)Time elapsed: 1.472 s
% 15.18/3.38 % (3861022)Peak memory usage: 137 MB
% 15.18/3.38 % (3861022)Instructions burned: 1707 (million)
% 15.18/3.38 % (3861022)------------------------------
% 15.18/3.38 % (3861022)------------------------------
% 15.18/3.38 % (3861008)Success in time 2.038 s
% 15.18/3.38 % Vampire exiting
%------------------------------------------------------------------------------