%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL040+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 : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:34:04 PM UTC 2026
% Result : Theorem 20.18s 4.50s
% Output : Refutation 23.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 55
% Number of leaves : 16
% Syntax : Number of formulae : 199 ( 176 unt; 2 def)
% Number of atoms : 226 ( 200 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 52 ( 25 ~; 19 |; 4 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 11 ( 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 : 312 ( 0 sgn 309 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux1_join_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux2_join_associativity) ).
fof(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan) ).
fof(f4,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).
fof(f5,axiom,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_associativity) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_identity) ).
fof(f7,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_distributivity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_multiplicativity) ).
fof(f11,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_top) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_zero) ).
fof(f17,conjecture,
! [X0,X1,X2] :
( join(composition(converse(X0),X0),one) = one
=> ( join(composition(X0,meet(X1,X2)),meet(composition(X0,X1),composition(X0,X2))) = meet(composition(X0,X1),composition(X0,X2))
& join(meet(composition(X0,X1),composition(X0,X2)),composition(X0,meet(X1,X2))) = composition(X0,meet(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0,X1,X2] :
( join(composition(converse(X0),X0),one) = one
=> ( join(composition(X0,meet(X1,X2)),meet(composition(X0,X1),composition(X0,X2))) = meet(composition(X0,X1),composition(X0,X2))
& join(meet(composition(X0,X1),composition(X0,X2)),composition(X0,meet(X1,X2))) = composition(X0,meet(X1,X2)) ) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
? [X0,X1,X2] :
( ( meet(composition(X0,X1),composition(X0,X2)) != join(composition(X0,meet(X1,X2)),meet(composition(X0,X1),composition(X0,X2)))
| composition(X0,meet(X1,X2)) != join(meet(composition(X0,X1),composition(X0,X2)),composition(X0,meet(X1,X2))) )
& join(composition(converse(X0),X0),one) = one ),
inference(ennf_transformation,[],[f18]) ).
fof(f20,plain,
( ( meet(composition(sK0,sK1),composition(sK0,sK2)) != join(composition(sK0,meet(sK1,sK2)),meet(composition(sK0,sK1),composition(sK0,sK2)))
| composition(sK0,meet(sK1,sK2)) != join(meet(composition(sK0,sK1),composition(sK0,sK2)),composition(sK0,meet(sK1,sK2))) )
& one = join(composition(converse(sK0),sK0),one) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f19]) ).
fof(f21,plain,
one = join(composition(converse(sK0),sK0),one),
inference(cnf_transformation,[],[f20]) ).
fof(f22,plain,
( meet(composition(sK0,sK1),composition(sK0,sK2)) != join(composition(sK0,meet(sK1,sK2)),meet(composition(sK0,sK1),composition(sK0,sK2)))
| composition(sK0,meet(sK1,sK2)) != join(meet(composition(sK0,sK1),composition(sK0,sK2)),composition(sK0,meet(sK1,sK2))) ),
inference(cnf_transformation,[],[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(f28,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f29,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f30,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f31,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f32,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f33,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f34,plain,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f35,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f36,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f37,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f38,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f39,plain,
( complement(join(complement(composition(sK0,sK1)),complement(composition(sK0,sK2)))) != join(composition(sK0,complement(join(complement(sK1),complement(sK2)))),complement(join(complement(composition(sK0,sK1)),complement(composition(sK0,sK2)))))
| composition(sK0,complement(join(complement(sK1),complement(sK2)))) != join(complement(join(complement(composition(sK0,sK1)),complement(composition(sK0,sK2)))),composition(sK0,complement(join(complement(sK1),complement(sK2))))) ),
inference(definition_unfolding,[],[f22,f29,f29,f29,f29,f29,f29]) ).
fof(f43,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f28,f29]) ).
fof(f44,plain,
zero = complement(top),
inference(forward_demodulation,[],[f43,f37]) ).
fof(f45,plain,
one = join(one,composition(converse(sK0),sK0)),
inference(forward_demodulation,[],[f21,f24]) ).
fof(f46,plain,
( composition(sK0,complement(join(complement(sK1),complement(sK2)))) != join(composition(sK0,complement(join(complement(sK1),complement(sK2)))),complement(join(complement(composition(sK0,sK1)),complement(composition(sK0,sK2)))))
| complement(join(complement(composition(sK0,sK1)),complement(composition(sK0,sK2)))) != join(composition(sK0,complement(join(complement(sK1),complement(sK2)))),complement(join(complement(composition(sK0,sK1)),complement(composition(sK0,sK2))))) ),
inference(forward_demodulation,[],[f39,f24]) ).
fof(f48,definition,
( spl3_1
<=> complement(join(complement(composition(sK0,sK1)),complement(composition(sK0,sK2)))) = join(composition(sK0,complement(join(complement(sK1),complement(sK2)))),complement(join(complement(composition(sK0,sK1)),complement(composition(sK0,sK2))))) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f49,plain,
( complement(join(complement(composition(sK0,sK1)),complement(composition(sK0,sK2)))) != join(composition(sK0,complement(join(complement(sK1),complement(sK2)))),complement(join(complement(composition(sK0,sK1)),complement(composition(sK0,sK2)))))
| spl3_1 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f51,definition,
( spl3_2
<=> composition(sK0,complement(join(complement(sK1),complement(sK2)))) = join(composition(sK0,complement(join(complement(sK1),complement(sK2)))),complement(join(complement(composition(sK0,sK1)),complement(composition(sK0,sK2))))) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f52,plain,
( composition(sK0,complement(join(complement(sK1),complement(sK2)))) != join(composition(sK0,complement(join(complement(sK1),complement(sK2)))),complement(join(complement(composition(sK0,sK1)),complement(composition(sK0,sK2)))))
| spl3_2 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f53,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f46,f51,f48]) ).
fof(f54,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f35,f36]) ).
fof(f61,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f31,f36]) ).
fof(f63,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f32,f31]) ).
fof(f75,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f38,f24]) ).
fof(f77,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,[],[f38,f38]) ).
fof(f83,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(superposition,[],[f24,f38]) ).
fof(f86,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,[],[f77,f24]) ).
fof(f88,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(forward_demodulation,[],[f75,f24]) ).
fof(f92,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,[],[f86,f24]) ).
fof(f101,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f61,f33]) ).
fof(f109,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f101,f36]) ).
fof(f118,plain,
one = converse(one),
inference(superposition,[],[f33,f109]) ).
fof(f126,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),complement(X1))),join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f23,f38]) ).
fof(f133,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f24,f23]) ).
fof(f134,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(X2,complement(join(complement(X0),complement(X1))))),
inference(forward_demodulation,[],[f126,f133]) ).
fof(f231,plain,
! [X0,X1] : complement(X1) = join(composition(X0,complement(composition(converse(X0),X1))),complement(X1)),
inference(superposition,[],[f30,f36]) ).
fof(f245,plain,
! [X0,X1] : complement(X0) = join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))),
inference(superposition,[],[f24,f30]) ).
fof(f255,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(X0,complement(composition(converse(X0),X1)))),
inference(forward_demodulation,[],[f231,f24]) ).
fof(f288,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[],[f38,f37]) ).
fof(f293,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(forward_demodulation,[],[f288,f44]) ).
fof(f519,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f109,f118]) ).
fof(f539,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(converse(one),X0))),
inference(superposition,[],[f255,f519]) ).
fof(f540,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f539,f109]) ).
fof(f557,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,[],[f134,f540]) ).
fof(f561,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f557,f83]) ).
fof(f599,plain,
! [X0] : join(X0,complement(top)) = X0,
inference(superposition,[],[f561,f37]) ).
fof(f602,plain,
! [X0,X1] : join(X1,complement(join(complement(X0),complement(X1)))) = X1,
inference(superposition,[],[f561,f24]) ).
fof(f604,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),X0) = join(X0,X0),
inference(superposition,[],[f134,f561]) ).
fof(f628,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = join(X0,X0),
inference(forward_demodulation,[],[f604,f24]) ).
fof(f629,plain,
! [X0] : join(X0,zero) = X0,
inference(forward_demodulation,[],[f599,f44]) ).
fof(f705,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f24,f629]) ).
fof(f793,plain,
top = complement(zero),
inference(superposition,[],[f37,f705]) ).
fof(f823,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f54,f37]) ).
fof(f853,plain,
! [X0] : complement(join(complement(X0),complement(X0))) = X0,
inference(superposition,[],[f705,f293]) ).
fof(f854,plain,
! [X0] : join(X0,zero) = join(complement(join(complement(X0),X0)),X0),
inference(superposition,[],[f134,f293]) ).
fof(f860,plain,
! [X0] : join(X0,zero) = join(X0,complement(join(complement(X0),X0))),
inference(forward_demodulation,[],[f854,f24]) ).
fof(f861,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f853,f540]) ).
fof(f866,plain,
! [X0] : join(X0,X0) = join(X0,zero),
inference(forward_demodulation,[],[f860,f628]) ).
fof(f870,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[],[f866,f629]) ).
fof(f881,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(X1),X0))),
inference(superposition,[],[f88,f861]) ).
fof(f892,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f602,f861]) ).
fof(f902,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X1,X0))),
inference(superposition,[],[f892,f861]) ).
fof(f1345,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(join(complement(join(complement(X1),X0)),join(X0,X1))),complement(complement(X0))),
inference(superposition,[],[f88,f881]) ).
fof(f1347,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),complement(join(complement(join(X0,X1)),join(complement(X1),X0)))),
inference(superposition,[],[f38,f881]) ).
fof(f1372,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),complement(join(X0,join(complement(join(X0,X1)),complement(X1))))),
inference(forward_demodulation,[],[f1347,f133]) ).
fof(f1374,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(complement(join(complement(X1),X0)),join(X0,X1)))),
inference(forward_demodulation,[],[f1345,f24]) ).
fof(f1421,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),complement(join(X0,join(complement(X1),complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f1372,f24]) ).
fof(f1423,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(join(X0,X1),complement(join(complement(X1),X0))))),
inference(forward_demodulation,[],[f1374,f24]) ).
fof(f1460,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),complement(join(X0,complement(X1)))),
inference(forward_demodulation,[],[f1421,f902]) ).
fof(f1462,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(X0,join(X1,complement(join(complement(X1),X0)))))),
inference(forward_demodulation,[],[f1423,f23]) ).
fof(f1490,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(X0,complement(X1)))),
inference(forward_demodulation,[],[f1460,f861]) ).
fof(f1492,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(X0,join(X1,X1)))),
inference(forward_demodulation,[],[f1462,f628]) ).
fof(f1514,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(X0,X1))),
inference(forward_demodulation,[],[f1492,f870]) ).
fof(f1525,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f1514,f861]) ).
fof(f1533,plain,
! [X0,X1] : join(complement(X0),X1) = join(X1,complement(join(X0,X1))),
inference(superposition,[],[f1525,f24]) ).
fof(f1544,plain,
! [X0] : join(X0,complement(X0)) = join(complement(zero),X0),
inference(superposition,[],[f1525,f629]) ).
fof(f1572,plain,
! [X2,X0,X1] : join(X2,join(complement(X0),X1)) = join(X1,join(complement(join(X1,X0)),X2)),
inference(superposition,[],[f133,f1525]) ).
fof(f1632,plain,
! [X0] : join(X0,complement(X0)) = join(top,X0),
inference(forward_demodulation,[],[f1544,f793]) ).
fof(f1667,plain,
! [X0] : top = join(top,X0),
inference(forward_demodulation,[],[f1632,f37]) ).
fof(f1906,plain,
! [X0,X1] : join(X1,complement(X0)) = join(X1,complement(join(X1,X0))),
inference(superposition,[],[f1490,f861]) ).
fof(f1943,plain,
! [X2,X0,X1] : join(X2,join(X0,X1)) = join(X0,join(complement(join(X0,complement(X1))),X2)),
inference(superposition,[],[f133,f1490]) ).
fof(f1987,plain,
! [X2,X0,X1] : join(X2,join(X0,X1)) = join(X2,join(complement(complement(X1)),X0)),
inference(forward_demodulation,[],[f1943,f1572]) ).
fof(f2039,plain,
! [X2,X0,X1] : join(X2,join(X0,X1)) = join(X2,join(X1,X0)),
inference(forward_demodulation,[],[f1987,f861]) ).
fof(f2100,plain,
! [X0,X1] : join(X1,complement(X0)) = join(X1,complement(join(X0,X1))),
inference(superposition,[],[f1906,f24]) ).
fof(f3445,plain,
! [X2,X0,X1] : join(X0,complement(join(X0,join(X1,X2)))) = join(X0,complement(join(X2,X1))),
inference(superposition,[],[f1906,f2039]) ).
fof(f3468,plain,
! [X2,X0,X1] : join(complement(join(X1,X2)),X0) = join(X0,complement(join(X2,X1))),
inference(forward_demodulation,[],[f3445,f1525]) ).
fof(f3647,plain,
! [X2,X0,X1] : join(X0,complement(join(X2,X1))) = join(X0,complement(join(X1,X2))),
inference(superposition,[],[f24,f3468]) ).
fof(f3671,plain,
! [X0,X1] : complement(join(X1,X0)) = join(zero,complement(join(X0,X1))),
inference(superposition,[],[f629,f3468]) ).
fof(f3701,plain,
! [X0,X1] : complement(join(X1,X0)) = join(complement(join(X0,X1)),complement(join(X1,X0))),
inference(superposition,[],[f540,f3468]) ).
fof(f3734,plain,
! [X0,X1] : complement(join(X0,X1)) = complement(join(X1,X0)),
inference(forward_demodulation,[],[f3671,f705]) ).
fof(f4530,plain,
! [X2,X3,X0,X1] : join(X3,complement(join(X2,join(X0,X1)))) = join(X3,complement(join(X0,join(X1,X2)))),
inference(superposition,[],[f3647,f23]) ).
fof(f4846,plain,
! [X0] : join(X0,complement(converse(top))) = join(X0,complement(converse(complement(converse(X0))))),
inference(superposition,[],[f1906,f823]) ).
fof(f4862,plain,
top = converse(top),
inference(superposition,[],[f1667,f823]) ).
fof(f4879,plain,
! [X0] : join(X0,complement(top)) = join(X0,complement(converse(complement(converse(X0))))),
inference(forward_demodulation,[],[f4846,f4862]) ).
fof(f4909,plain,
! [X0] : join(X0,zero) = join(X0,complement(converse(complement(converse(X0))))),
inference(forward_demodulation,[],[f4879,f44]) ).
fof(f4932,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = X0,
inference(forward_demodulation,[],[f4909,f629]) ).
fof(f4983,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(complement(join(complement(converse(complement(converse(complement(X0))))),X0)),complement(complement(X0))),
inference(superposition,[],[f88,f4932]) ).
fof(f4995,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(complement(converse(complement(converse(converse(X0))))))),
inference(superposition,[],[f54,f4932]) ).
fof(f4998,plain,
! [X0] : join(X0,converse(complement(converse(complement(X0))))) = X0,
inference(forward_demodulation,[],[f4995,f36]) ).
fof(f5009,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(complement(complement(X0)),complement(join(X0,complement(converse(complement(converse(complement(X0)))))))),
inference(forward_demodulation,[],[f4983,f3468]) ).
fof(f5030,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(X0,complement(join(X0,complement(converse(complement(converse(complement(X0)))))))),
inference(forward_demodulation,[],[f5009,f861]) ).
fof(f5044,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(X0,converse(complement(converse(complement(X0))))),
inference(forward_demodulation,[],[f5030,f1490]) ).
fof(f5050,plain,
! [X0] : converse(complement(converse(complement(X0)))) = X0,
inference(forward_demodulation,[],[f5044,f4998]) ).
fof(f5076,plain,
! [X0] : complement(X0) = converse(complement(converse(X0))),
inference(superposition,[],[f5050,f861]) ).
fof(f7937,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f63,f31]) ).
fof(f7978,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f7937,f35]) ).
fof(f7997,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f7978,f35]) ).
fof(f8007,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f7997,f31]) ).
fof(f8032,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f36,f8007]) ).
fof(f8040,plain,
! [X2,X0,X1] : converse(complement(converse(composition(X0,join(X1,X2))))) = complement(join(composition(X0,X1),composition(X0,X2))),
inference(superposition,[],[f5076,f8007]) ).
fof(f8044,plain,
! [X2,X0,X1] : complement(composition(X0,join(X1,X2))) = complement(join(composition(X0,X1),composition(X0,X2))),
inference(forward_demodulation,[],[f8040,f5076]) ).
fof(f8049,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f8032,f36]) ).
fof(f8093,plain,
! [X0,X1] : join(X0,composition(X0,X1)) = composition(X0,join(one,X1)),
inference(superposition,[],[f8049,f33]) ).
fof(f8110,plain,
! [X2,X3,X0,X1] : join(composition(X0,join(X1,X2)),X3) = join(composition(X0,X1),join(composition(X0,X2),X3)),
inference(superposition,[],[f23,f8049]) ).
fof(f8121,plain,
! [X2,X0,X1] : join(complement(composition(X0,X2)),composition(X0,X1)) = join(composition(X0,X1),complement(composition(X0,join(X1,X2)))),
inference(superposition,[],[f1525,f8049]) ).
fof(f8165,plain,
! [X0] : composition(X0,one) = join(X0,composition(X0,composition(converse(sK0),sK0))),
inference(superposition,[],[f8093,f45]) ).
fof(f8286,plain,
! [X0] : join(X0,composition(X0,composition(converse(sK0),sK0))) = X0,
inference(forward_demodulation,[],[f8165,f33]) ).
fof(f8361,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(composition(converse(X0),composition(converse(sK0),sK0)))),
inference(superposition,[],[f54,f8286]) ).
fof(f8363,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(converse(composition(converse(sK0),sK0)),X0)),
inference(forward_demodulation,[],[f8361,f61]) ).
fof(f8392,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(composition(converse(sK0),sK0),X0)),
inference(forward_demodulation,[],[f8363,f61]) ).
fof(f8407,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(converse(sK0),composition(sK0,X0))),
inference(forward_demodulation,[],[f8392,f34]) ).
fof(f8412,plain,
! [X0] : join(X0,composition(converse(sK0),composition(sK0,X0))) = X0,
inference(forward_demodulation,[],[f8407,f36]) ).
fof(f8583,plain,
! [X0,X1] : join(complement(composition(X0,complement(X1))),composition(X0,X1)) = join(composition(X0,X1),complement(composition(X0,top))),
inference(superposition,[],[f8121,f37]) ).
fof(f8724,plain,
! [X0,X1] : join(composition(X0,X1),complement(composition(X0,top))) = join(composition(X0,X1),complement(composition(X0,complement(X1)))),
inference(forward_demodulation,[],[f8583,f24]) ).
fof(f8837,plain,
! [X0] : complement(composition(converse(sK0),composition(sK0,X0))) = join(complement(composition(converse(sK0),composition(sK0,X0))),complement(X0)),
inference(superposition,[],[f902,f8412]) ).
fof(f8886,plain,
! [X0] : complement(composition(converse(sK0),composition(sK0,X0))) = join(complement(X0),complement(composition(converse(sK0),composition(sK0,X0)))),
inference(forward_demodulation,[],[f8837,f24]) ).
fof(f10753,plain,
! [X2,X0,X1] : join(composition(converse(X1),join(X2,complement(composition(X1,X0)))),complement(X0)) = join(composition(converse(X1),X2),complement(X0)),
inference(superposition,[],[f8110,f30]) ).
fof(f10889,plain,
! [X2,X0,X1] : join(complement(X0),composition(converse(X1),join(X2,complement(composition(X1,X0))))) = join(composition(converse(X1),X2),complement(X0)),
inference(forward_demodulation,[],[f10753,f24]) ).
fof(f12915,plain,
! [X0] : join(composition(converse(converse(sK0)),complement(X0)),complement(composition(sK0,X0))) = join(complement(composition(sK0,X0)),composition(converse(converse(sK0)),complement(composition(converse(sK0),composition(sK0,X0))))),
inference(superposition,[],[f10889,f8886]) ).
fof(f12955,plain,
! [X0] : complement(composition(sK0,X0)) = join(composition(converse(converse(sK0)),complement(X0)),complement(composition(sK0,X0))),
inference(forward_demodulation,[],[f12915,f245]) ).
fof(f12991,plain,
! [X0] : complement(composition(sK0,X0)) = join(complement(composition(sK0,X0)),composition(converse(converse(sK0)),complement(X0))),
inference(forward_demodulation,[],[f12955,f24]) ).
fof(f13014,plain,
! [X0] : complement(composition(sK0,X0)) = join(complement(composition(sK0,X0)),composition(sK0,complement(X0))),
inference(forward_demodulation,[],[f12991,f36]) ).
fof(f13053,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(complement(composition(sK0,complement(X0))),composition(sK0,X0)),
inference(superposition,[],[f13014,f861]) ).
fof(f13114,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(composition(sK0,X0),complement(composition(sK0,complement(X0)))),
inference(forward_demodulation,[],[f13053,f24]) ).
fof(f13129,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(composition(sK0,X0),complement(composition(sK0,top))),
inference(forward_demodulation,[],[f13114,f8724]) ).
fof(f13156,plain,
! [X0,X1] : join(composition(sK0,join(X1,X0)),complement(composition(sK0,top))) = join(composition(sK0,X1),complement(composition(sK0,complement(X0)))),
inference(superposition,[],[f8110,f13129]) ).
fof(f13217,plain,
! [X0,X1] : join(composition(sK0,X1),complement(composition(sK0,complement(X0)))) = complement(composition(sK0,complement(join(X1,X0)))),
inference(forward_demodulation,[],[f13156,f13129]) ).
fof(f13305,plain,
! [X0,X1] : complement(composition(sK0,complement(join(X0,X1)))) = join(complement(composition(sK0,complement(X1))),composition(sK0,X0)),
inference(superposition,[],[f24,f13217]) ).
fof(f13320,plain,
! [X0,X1] : join(complement(composition(sK0,complement(X1))),complement(composition(sK0,X0))) = join(complement(composition(sK0,complement(X1))),complement(complement(composition(sK0,complement(join(X0,X1)))))),
inference(superposition,[],[f2100,f13217]) ).
fof(f13337,plain,
! [X0,X1] : join(complement(composition(sK0,complement(X1))),complement(composition(sK0,X0))) = join(complement(composition(sK0,complement(X1))),composition(sK0,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f13320,f861]) ).
fof(f13374,plain,
! [X0,X1] : join(complement(composition(sK0,complement(X1))),complement(composition(sK0,X0))) = complement(composition(sK0,complement(join(complement(join(X0,X1)),X1)))),
inference(forward_demodulation,[],[f13337,f13305]) ).
fof(f13396,plain,
! [X0,X1] : join(complement(composition(sK0,complement(X1))),complement(composition(sK0,X0))) = complement(composition(sK0,complement(join(X1,complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f13374,f3734]) ).
fof(f13410,plain,
! [X0,X1] : join(complement(composition(sK0,complement(X1))),complement(composition(sK0,X0))) = complement(composition(sK0,complement(join(complement(X0),X1)))),
inference(forward_demodulation,[],[f13396,f1533]) ).
fof(f13431,plain,
! [X0,X1] : complement(composition(sK0,complement(join(complement(X1),complement(X0))))) = join(complement(composition(sK0,X0)),complement(composition(sK0,X1))),
inference(superposition,[],[f13410,f861]) ).
fof(f13450,plain,
! [X0,X1] : complement(composition(sK0,complement(join(complement(X0),X1)))) = join(complement(composition(sK0,complement(X1))),complement(join(complement(complement(join(complement(composition(sK0,complement(X1))),composition(sK0,X0)))),complement(complement(composition(sK0,complement(join(complement(X0),X1)))))))),
inference(superposition,[],[f92,f13410]) ).
fof(f13544,plain,
! [X0,X1] : complement(composition(sK0,complement(join(complement(X0),X1)))) = join(complement(composition(sK0,complement(X1))),complement(join(complement(complement(composition(sK0,complement(join(complement(X0),X1))))),complement(complement(join(complement(composition(sK0,complement(X1))),composition(sK0,X0))))))),
inference(forward_demodulation,[],[f13450,f3647]) ).
fof(f13597,plain,
! [X0,X1] : complement(composition(sK0,complement(join(complement(X0),X1)))) = join(complement(composition(sK0,complement(X1))),complement(join(complement(complement(composition(sK0,complement(join(complement(X0),X1))))),join(complement(composition(sK0,complement(X1))),composition(sK0,X0))))),
inference(forward_demodulation,[],[f13544,f861]) ).
fof(f13636,plain,
! [X0,X1] : complement(composition(sK0,complement(join(complement(X0),X1)))) = join(complement(composition(sK0,complement(X1))),complement(join(complement(composition(sK0,complement(X1))),join(composition(sK0,X0),complement(complement(composition(sK0,complement(join(complement(X0),X1))))))))),
inference(forward_demodulation,[],[f13597,f4530]) ).
fof(f13662,plain,
! [X0,X1] : complement(composition(sK0,complement(join(complement(X0),X1)))) = join(complement(join(composition(sK0,X0),complement(complement(composition(sK0,complement(join(complement(X0),X1))))))),complement(composition(sK0,complement(X1)))),
inference(forward_demodulation,[],[f13636,f1525]) ).
fof(f13683,plain,
! [X0,X1] : complement(composition(sK0,complement(join(complement(X0),X1)))) = join(complement(composition(sK0,complement(X1))),complement(join(complement(complement(composition(sK0,complement(join(complement(X0),X1))))),composition(sK0,X0)))),
inference(forward_demodulation,[],[f13662,f3468]) ).
fof(f13700,plain,
! [X0,X1] : complement(composition(sK0,complement(join(complement(X0),X1)))) = join(complement(composition(sK0,complement(X1))),complement(join(composition(sK0,X0),complement(complement(composition(sK0,complement(join(complement(X0),X1)))))))),
inference(forward_demodulation,[],[f13683,f3647]) ).
fof(f13717,plain,
! [X0,X1] : complement(composition(sK0,complement(join(complement(X0),X1)))) = join(complement(composition(sK0,complement(X1))),complement(join(composition(sK0,X0),composition(sK0,complement(join(complement(X0),X1)))))),
inference(forward_demodulation,[],[f13700,f861]) ).
fof(f13734,plain,
! [X0,X1] : complement(composition(sK0,complement(join(complement(X0),X1)))) = join(complement(composition(sK0,complement(X1))),complement(composition(sK0,join(X0,complement(join(complement(X0),X1)))))),
inference(forward_demodulation,[],[f13717,f8044]) ).
fof(f13743,plain,
! [X0,X1] : complement(composition(sK0,complement(join(complement(X0),X1)))) = complement(composition(sK0,complement(join(complement(join(X0,complement(join(complement(X0),X1)))),complement(complement(X1)))))),
inference(forward_demodulation,[],[f13734,f13431]) ).
fof(f13745,plain,
! [X0,X1] : complement(composition(sK0,complement(join(complement(X0),X1)))) = complement(composition(sK0,complement(join(complement(complement(X1)),complement(join(X0,complement(join(complement(X0),X1)))))))),
inference(forward_demodulation,[],[f13743,f3734]) ).
fof(f13746,plain,
! [X0,X1] : complement(composition(sK0,complement(join(complement(X0),X1)))) = complement(composition(sK0,complement(join(complement(complement(X1)),complement(join(X0,X0)))))),
inference(forward_demodulation,[],[f13745,f628]) ).
fof(f13747,plain,
! [X0,X1] : complement(composition(sK0,complement(join(complement(X0),X1)))) = complement(composition(sK0,complement(join(complement(complement(X1)),complement(X0))))),
inference(forward_demodulation,[],[f13746,f870]) ).
fof(f13748,plain,
! [X0,X1] : complement(composition(sK0,complement(join(X1,complement(X0))))) = complement(composition(sK0,complement(join(complement(X0),X1)))),
inference(forward_demodulation,[],[f13747,f861]) ).
fof(f14428,plain,
! [X0,X1] : composition(sK0,complement(join(complement(X1),X0))) = converse(complement(converse(complement(composition(sK0,complement(join(X0,complement(X1)))))))),
inference(superposition,[],[f5050,f13748]) ).
fof(f14451,plain,
! [X0,X1] : composition(sK0,complement(join(X0,complement(X1)))) = composition(sK0,complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f14428,f5050]) ).
fof(f16866,plain,
( complement(complement(composition(sK0,complement(join(complement(sK2),complement(sK1)))))) != join(composition(sK0,complement(join(complement(sK1),complement(sK2)))),complement(complement(composition(sK0,complement(join(complement(sK2),complement(sK1)))))))
| spl3_1 ),
inference(superposition,[],[f49,f13431]) ).
fof(f16988,plain,
( composition(sK0,complement(join(complement(sK2),complement(sK1)))) != join(composition(sK0,complement(join(complement(sK1),complement(sK2)))),composition(sK0,complement(join(complement(sK2),complement(sK1)))))
| spl3_1 ),
inference(forward_demodulation,[],[f16866,f861]) ).
fof(f17062,plain,
( composition(sK0,complement(join(complement(sK2),complement(sK1)))) != composition(sK0,join(complement(join(complement(sK1),complement(sK2))),complement(join(complement(sK2),complement(sK1)))))
| spl3_1 ),
inference(forward_demodulation,[],[f16988,f8049]) ).
fof(f17118,plain,
( composition(sK0,complement(join(complement(sK2),complement(sK1)))) != composition(sK0,complement(join(complement(sK2),complement(sK1))))
| spl3_1 ),
inference(forward_demodulation,[],[f17062,f3701]) ).
fof(f17119,plain,
( $false
| spl3_1 ),
inference(trivial_inequality_removal,[],[f17118]) ).
fof(f17120,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f17119]) ).
fof(f17251,plain,
( composition(sK0,complement(join(complement(sK1),complement(sK2)))) != join(composition(sK0,complement(join(complement(sK1),complement(sK2)))),complement(complement(composition(sK0,complement(join(complement(sK2),complement(sK1)))))))
| spl3_2 ),
inference(forward_demodulation,[],[f52,f13431]) ).
fof(f17252,plain,
( composition(sK0,complement(join(complement(sK1),complement(sK2)))) != join(composition(sK0,complement(join(complement(sK1),complement(sK2)))),composition(sK0,complement(join(complement(sK2),complement(sK1)))))
| spl3_2 ),
inference(forward_demodulation,[],[f17251,f861]) ).
fof(f17253,plain,
( composition(sK0,complement(join(complement(sK1),complement(sK2)))) != composition(sK0,join(complement(join(complement(sK1),complement(sK2))),complement(join(complement(sK2),complement(sK1)))))
| spl3_2 ),
inference(forward_demodulation,[],[f17252,f8049]) ).
fof(f17254,plain,
( composition(sK0,complement(join(complement(sK1),complement(sK2)))) != composition(sK0,complement(join(complement(sK2),complement(sK1))))
| spl3_2 ),
inference(forward_demodulation,[],[f17253,f3701]) ).
fof(f17255,plain,
( $false
| spl3_2 ),
inference(forward_subsumption_resolution,[],[f17254,f14451]) ).
fof(f17256,plain,
spl3_2,
inference(avatar_contradiction_clause,[],[f17255]) ).
cnf(s1,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(sat_conversion,[],[f53]) ).
cnf(s2,plain,
spl3_1,
inference(sat_conversion,[],[f17120]) ).
cnf(s3,plain,
spl3_2,
inference(sat_conversion,[],[f17256]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
fof(f17257,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : REL040+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.47 % Computer : n008.cluster.edu
% 0.21/0.47 % Model : x86_64 x86_64
% 0.21/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.47 % Memory : 8046.5625MB
% 0.21/0.47 % OS : Linux 6.8.0-71-generic
% 0.21/0.47 % CPULimit : 300
% 0.21/0.47 % WCLimit : 300
% 0.21/0.47 % DateTime : Sun Sep 27 22:57:09 UTC 2026
% 0.21/0.48 % CPUTime :
% 0.21/0.48 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.54 Running first-order theorem proving
% 0.25/0.54 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
% 21.28/4.20 % (1702696)Detected formulas, will run a generic FOF schedule.
% 21.28/4.20 % (1702715)dis-21_1_sil=8000:lcm=predicate:random_seed=2446582463: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)
% 21.28/4.20 % (1702715)Refutation not found, incomplete strategy
% 21.28/4.20 % (1702715)------------------------------
% 21.28/4.20 % (1702715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.28/4.20 % (1702715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.28/4.20 % (1702715)CaDiCaL version: 2.1.3
% 21.28/4.20 % (1702715)Termination reason: Refutation not found, incomplete strategy
% 21.28/4.20 % (1702715)Time elapsed: 0.002 s
% 21.28/4.20 % (1702715)Peak memory usage: 88 MB
% 21.28/4.20 % (1702715)Instructions burned: 2 (million)
% 21.28/4.20 % (1702709)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=2976798147:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 21.28/4.20 % (1702711)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=2212716520:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 21.28/4.20 % (1702710)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=3608834836:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 21.28/4.20 % (1702713)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1244381821:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 21.28/4.20 % (1702712)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3357003167:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 21.28/4.20 % (1702714)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1280775707:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 21.28/4.20 % (1702712)Instruction limit reached!
% 21.28/4.20 % (1702712)------------------------------
% 21.28/4.20 % (1702712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.28/4.20 % (1702712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.28/4.20 % (1702712)CaDiCaL version: 2.1.3
% 21.28/4.20 % (1702712)Termination reason: Instruction limit
% 21.28/4.20 % (1702712)Termination phase: Saturation
% 21.28/4.20 % (1702712)Time elapsed: 0.093 s
% 21.28/4.20 % (1702712)Peak memory usage: 89 MB
% 21.28/4.20 % (1702712)Instructions burned: 110 (million)
% 21.28/4.20 % (1702713)Instruction limit reached!
% 21.28/4.20 % (1702713)------------------------------
% 21.28/4.20 % (1702713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.28/4.20 % (1702713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.28/4.20 % (1702713)CaDiCaL version: 2.1.3
% 21.28/4.20 % (1702713)Termination reason: Instruction limit
% 21.28/4.20 % (1702713)Termination phase: Saturation
% 21.28/4.20 % (1702713)Time elapsed: 0.113 s
% 21.28/4.20 % (1702713)Peak memory usage: 88 MB
% 21.28/4.20 % (1702713)Instructions burned: 119 (million)
% 21.28/4.20 % (1702714)Instruction limit reached!
% 21.28/4.20 % (1702714)------------------------------
% 21.28/4.20 % (1702714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.28/4.20 % (1702714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.28/4.20 % (1702714)CaDiCaL version: 2.1.3
% 21.28/4.20 % (1702714)Termination reason: Instruction limit
% 21.28/4.20 % (1702714)Termination phase: Saturation
% 21.28/4.20 % (1702714)Time elapsed: 0.132 s
% 21.28/4.20 % (1702714)Peak memory usage: 89 MB
% 21.28/4.20 % (1702714)Instructions burned: 139 (million)
% 21.28/4.20 % (1702715)------------------------------
% 21.28/4.20 % (1702715)------------------------------
% 21.28/4.20 % (1702724)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4235380818:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 21.28/4.20 % (1702723)lrs+10_1_sil=8000:sp=occurrence:random_seed=3621348967:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 21.28/4.20 % (1702726)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=1604946160:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 21.28/4.20 % (1702725)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1801885689:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 20.18/4.50 % (1702724)Instruction limit reached!
% 20.18/4.50 % (1702724)------------------------------
% 20.18/4.50 % (1702724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.18/4.50 % (1702724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.18/4.50 % (1702724)CaDiCaL version: 2.1.3
% 20.18/4.50 % (1702724)Termination reason: Instruction limit
% 20.18/4.50 % (1702724)Termination phase: Saturation
% 20.18/4.50 % (1702724)Time elapsed: 0.156 s
% 20.18/4.50 % (1702724)Peak memory usage: 90 MB
% 20.18/4.50 % (1702724)Instructions burned: 158 (million)
% 20.18/4.50 % (1702726)Instruction limit reached!
% 20.18/4.50 % (1702726)------------------------------
% 20.18/4.50 % (1702726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.18/4.50 % (1702726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.18/4.50 % (1702726)CaDiCaL version: 2.1.3
% 20.18/4.50 % (1702726)Termination reason: Instruction limit
% 20.18/4.50 % (1702726)Termination phase: Saturation
% 20.18/4.50 % (1702726)Time elapsed: 0.132 s
% 20.18/4.50 % (1702726)Peak memory usage: 92 MB
% 20.18/4.50 % (1702726)Instructions burned: 250 (million)
% 20.18/4.50 % (1702723)Instruction limit reached!
% 20.18/4.50 % (1702723)------------------------------
% 20.18/4.50 % (1702723)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.18/4.50 % (1702723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.18/4.50 % (1702723)CaDiCaL version: 2.1.3
% 20.18/4.50 % (1702723)Termination reason: Instruction limit
% 20.18/4.50 % (1702723)Termination phase: Saturation
% 20.18/4.50 % (1702723)Time elapsed: 0.292 s
% 20.18/4.50 % (1702723)Peak memory usage: 91 MB
% 20.18/4.50 % (1702723)Instructions burned: 285 (million)
% 20.18/4.50 % (1702725)Instruction limit reached!
% 20.18/4.50 % (1702725)------------------------------
% 20.18/4.50 % (1702725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.18/4.50 % (1702725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.18/4.50 % (1702725)CaDiCaL version: 2.1.3
% 20.18/4.50 % (1702725)Termination reason: Instruction limit
% 20.18/4.50 % (1702725)Termination phase: Saturation
% 20.18/4.50 % (1702725)Time elapsed: 0.316 s
% 20.18/4.50 % (1702725)Peak memory usage: 91 MB
% 20.18/4.50 % (1702725)Instructions burned: 325 (million)
% 20.18/4.50 % (1702732)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1494128443:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 20.18/4.50 % (1702731)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=320462384:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 20.18/4.50 % (1702733)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=415074037:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 20.18/4.50 % (1702734)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=406384055:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 20.18/4.50 % (1702734)Refutation not found, incomplete strategy
% 20.18/4.50 % (1702734)------------------------------
% 20.18/4.50 % (1702734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.18/4.50 % (1702734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.18/4.50 % (1702734)CaDiCaL version: 2.1.3
% 20.18/4.50 % (1702734)Termination reason: Refutation not found, incomplete strategy
% 20.18/4.50 % (1702734)Time elapsed: 0.003 s
% 20.18/4.50 % (1702734)Peak memory usage: 88 MB
% 20.18/4.50 % (1702734)Instructions burned: 1 (million)
% 20.18/4.50 % (1702733)Instruction limit reached!
% 20.18/4.50 % (1702733)------------------------------
% 20.18/4.50 % (1702733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.18/4.50 % (1702733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.18/4.50 % (1702733)CaDiCaL version: 2.1.3
% 20.18/4.50 % (1702733)Termination reason: Instruction limit
% 20.18/4.50 % (1702733)Termination phase: Saturation
% 20.18/4.50 % (1702733)Time elapsed: 0.108 s
% 20.18/4.50 % (1702733)Peak memory usage: 89 MB
% 20.18/4.50 % (1702733)Instructions burned: 113 (million)
% 20.18/4.50 % (1702731)Instruction limit reached!
% 20.18/4.50 % (1702731)------------------------------
% 20.18/4.50 % (1702731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.18/4.50 % (1702731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.18/4.50 % (1702731)CaDiCaL version: 2.1.3
% 20.18/4.50 % (1702731)Termination reason: Instruction limit
% 20.18/4.50 % (1702731)Termination phase: Saturation
% 20.18/4.50 % (1702731)Time elapsed: 0.293 s
% 20.18/4.50 % (1702731)Peak memory usage: 90 MB
% 20.18/4.50 % (1702731)Instructions burned: 294 (million)
% 20.18/4.50 % (1702741)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3299207902:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2986 on theBenchmark for (2986ds/114Mi)
% 20.18/4.50 % (1702734)------------------------------
% 20.18/4.50 % (1702734)------------------------------
% 20.18/4.50 % (1702742)lrs+10_1_sil=8000:sp=occurrence:random_seed=1769529364:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2985 on theBenchmark for (2985ds/907Mi)
% 20.18/4.50 % (1702741)Instruction limit reached!
% 20.18/4.50 % (1702741)------------------------------
% 20.18/4.50 % (1702741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.18/4.50 % (1702741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.18/4.50 % (1702741)CaDiCaL version: 2.1.3
% 20.18/4.50 % (1702741)Termination reason: Instruction limit
% 20.18/4.50 % (1702741)Termination phase: Saturation
% 20.18/4.50 % (1702741)Time elapsed: 0.115 s
% 20.18/4.50 % (1702741)Peak memory usage: 90 MB
% 20.18/4.50 % (1702741)Instructions burned: 114 (million)
% 20.18/4.50 % (1702744)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2494563939:i=437:sd=1:aac=none:ss=included_2982 on theBenchmark for (2982ds/437Mi)
% 20.18/4.50 % (1702746)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4073932166:i=5202:ss=axioms:sgt=16_2982 on theBenchmark for (2982ds/5202Mi)
% 20.18/4.50 % (1702744)Instruction limit reached!
% 20.18/4.50 % (1702744)------------------------------
% 20.18/4.50 % (1702744)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.18/4.50 % (1702744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.18/4.50 % (1702744)CaDiCaL version: 2.1.3
% 20.18/4.50 % (1702744)Termination reason: Instruction limit
% 20.18/4.50 % (1702744)Termination phase: Saturation
% 20.18/4.50 % (1702744)Time elapsed: 0.370 s
% 20.18/4.50 % (1702744)Peak memory usage: 90 MB
% 20.18/4.50 % (1702744)Instructions burned: 438 (million)
% 20.18/4.50 % (1702732)Instruction limit reached!
% 20.18/4.50 % (1702732)------------------------------
% 20.18/4.50 % (1702732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.18/4.50 % (1702732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.18/4.50 % (1702732)CaDiCaL version: 2.1.3
% 20.18/4.50 % (1702732)Termination reason: Instruction limit
% 20.18/4.50 % (1702732)Termination phase: Saturation
% 20.18/4.50 % (1702732)Time elapsed: 1.350 s
% 20.18/4.50 % (1702732)Peak memory usage: 142 MB
% 20.18/4.50 % (1702732)Instructions burned: 2350 (million)
% 20.18/4.50 % (1702742)Instruction limit reached!
% 20.18/4.50 % (1702742)------------------------------
% 20.18/4.50 % (1702742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.18/4.50 % (1702742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.18/4.50 % (1702742)CaDiCaL version: 2.1.3
% 20.18/4.50 % (1702742)Termination reason: Instruction limit
% 20.18/4.50 % (1702742)Termination phase: Saturation
% 20.18/4.50 % (1702742)Time elapsed: 0.880 s
% 20.18/4.50 % (1702742)Peak memory usage: 98 MB
% 20.18/4.50 % (1702742)Instructions burned: 907 (million)
% 20.18/4.50 % (1702749)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3081245794:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2976 on theBenchmark for (2976ds/134Mi)
% 20.18/4.50 % (1702749)Refutation not found, incomplete strategy
% 20.18/4.50 % (1702749)------------------------------
% 20.18/4.50 % (1702749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.18/4.50 % (1702749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.18/4.50 % (1702749)CaDiCaL version: 2.1.3
% 20.18/4.50 % (1702749)Termination reason: Refutation not found, incomplete strategy
% 20.18/4.50 % (1702749)Time elapsed: 0.003 s
% 20.18/4.50 % (1702749)Peak memory usage: 88 MB
% 20.18/4.50 % (1702749)Instructions burned: 1 (million)
% 20.18/4.50 % (1702750)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=133929659:st=8:i=592:sd=3:ep=RST:ss=axioms_2975 on theBenchmark for (2975ds/592Mi)
% 20.18/4.50 % (1702710)First to succeed.
% 20.18/4.50 % (1702710)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1702696"
% 20.18/4.50 % (1702751)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=4271684405:st=3:i=13193:sd=3:ss=axioms_2974 on theBenchmark for (2974ds/13193Mi)
% 20.18/4.50 % (1702750)Instruction limit reached!
% 20.18/4.50 % (1702750)------------------------------
% 20.18/4.50 % (1702750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.18/4.50 % (1702750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.18/4.50 % (1702750)CaDiCaL version: 2.1.3
% 20.18/4.50 % (1702750)Termination reason: Instruction limit
% 20.18/4.50 % (1702750)Termination phase: Saturation
% 20.18/4.50 % (1702750)Time elapsed: 0.302 s
% 20.18/4.50 % (1702750)Peak memory usage: 95 MB
% 20.18/4.50 % (1702750)Instructions burned: 601 (million)
% 20.18/4.50 % (1702749)------------------------------
% 20.18/4.50 % (1702749)------------------------------
% 20.18/4.50 % (1702710)Refutation found. Thanks to Tanya!
% 20.18/4.50 % SZS status Theorem for theBenchmark
% 20.18/4.50 % SZS output start Proof for theBenchmark
% See solution above
% 23.68/4.83 % (1702710)------------------------------
% 23.68/4.83 % (1702710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.68/4.83 % (1702710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.68/4.83 % (1702710)CaDiCaL version: 2.1.3
% 23.68/4.83 % (1702710)Termination reason: Refutation
% 23.68/4.83 % (1702710)Time elapsed: 2.466 s
% 23.68/4.83 % (1702710)Peak memory usage: 141 MB
% 23.68/4.83 % (1702710)Instructions burned: 2301 (million)
% 23.68/4.83 % (1702710)------------------------------
% 23.68/4.83 % (1702710)------------------------------
% 23.68/4.83 % (1702696)Success in time 3.199 s
% 23.68/4.83 % Vampire exiting
%------------------------------------------------------------------------------