%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL027+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 : n002.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 12:33:53 PM UTC 2026
% Result : Theorem 16.86s 3.45s
% Output : Refutation 17.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 28
% Syntax : Number of formulae : 195 ( 177 unt; 15 def)
% Number of atoms : 219 ( 196 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 47 ( 23 ~; 16 |; 4 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 17 con; 0-2 aty)
% Number of variables : 171 ( 0 sgn 170 !; 1 ?)
% 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] :
( join(X0,one) = one
=> ( join(meet(complement(composition(X0,top)),one),meet(complement(X0),one)) = meet(complement(X0),one)
& join(meet(complement(X0),one),meet(complement(composition(X0,top)),one)) = meet(complement(composition(X0,top)),one) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0] :
( join(X0,one) = one
=> ( join(meet(complement(composition(X0,top)),one),meet(complement(X0),one)) = meet(complement(X0),one)
& join(meet(complement(X0),one),meet(complement(composition(X0,top)),one)) = meet(complement(composition(X0,top)),one) ) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
? [X0] :
( ( meet(complement(X0),one) != join(meet(complement(composition(X0,top)),one),meet(complement(X0),one))
| meet(complement(composition(X0,top)),one) != join(meet(complement(X0),one),meet(complement(composition(X0,top)),one)) )
& join(X0,one) = one ),
inference(ennf_transformation,[],[f18]) ).
fof(f20,plain,
( ( meet(complement(sK0),one) != join(meet(complement(composition(sK0,top)),one),meet(complement(sK0),one))
| meet(complement(composition(sK0,top)),one) != join(meet(complement(sK0),one),meet(complement(composition(sK0,top)),one)) )
& one = join(sK0,one) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f19]) ).
fof(f21,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f22,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f23,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f24,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f26,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f27,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f28,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f29,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f30,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f31,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f32,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f33,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f37,plain,
one = join(sK0,one),
inference(cnf_transformation,[],[f20]) ).
fof(f38,plain,
( meet(complement(sK0),one) != join(meet(complement(composition(sK0,top)),one),meet(complement(sK0),one))
| meet(complement(composition(sK0,top)),one) != join(meet(complement(sK0),one),meet(complement(composition(sK0,top)),one)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f39,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f33,f24]) ).
fof(f43,plain,
( complement(join(complement(complement(sK0)),complement(one))) != join(complement(join(complement(complement(composition(sK0,top))),complement(one))),complement(join(complement(complement(sK0)),complement(one))))
| complement(join(complement(complement(composition(sK0,top))),complement(one))) != join(complement(join(complement(complement(sK0)),complement(one))),complement(join(complement(complement(composition(sK0,top))),complement(one)))) ),
inference(definition_unfolding,[],[f38,f24,f24,f24,f24,f24,f24]) ).
fof(f44,definition,
sF1 = complement(sK0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f45,plain,
complement(sK0) = sF1,
inference(reorient_equations,[],[f44]) ).
fof(f46,definition,
sF2 = complement(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f47,plain,
complement(sF1) = sF2,
inference(reorient_equations,[],[f46]) ).
fof(f48,definition,
sF3 = complement(one),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f49,plain,
complement(one) = sF3,
inference(reorient_equations,[],[f48]) ).
fof(f50,definition,
sF4 = join(sF2,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f51,plain,
join(sF2,sF3) = sF4,
inference(reorient_equations,[],[f50]) ).
fof(f52,definition,
sF5 = complement(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f53,plain,
complement(sF4) = sF5,
inference(reorient_equations,[],[f52]) ).
fof(f54,definition,
sF6 = composition(sK0,top),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f55,plain,
composition(sK0,top) = sF6,
inference(reorient_equations,[],[f54]) ).
fof(f56,definition,
sF7 = complement(sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f57,plain,
complement(sF6) = sF7,
inference(reorient_equations,[],[f56]) ).
fof(f58,definition,
sF8 = complement(sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f59,plain,
complement(sF7) = sF8,
inference(reorient_equations,[],[f58]) ).
fof(f60,definition,
sF9 = join(sF8,sF3),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f61,plain,
join(sF8,sF3) = sF9,
inference(reorient_equations,[],[f60]) ).
fof(f62,definition,
sF10 = complement(sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f63,plain,
complement(sF9) = sF10,
inference(reorient_equations,[],[f62]) ).
fof(f64,definition,
sF11 = join(sF10,sF5),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f65,plain,
join(sF10,sF5) = sF11,
inference(reorient_equations,[],[f64]) ).
fof(f66,definition,
sF12 = join(sF5,sF10),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f67,plain,
join(sF5,sF10) = sF12,
inference(reorient_equations,[],[f66]) ).
fof(f68,plain,
( sF5 != sF11
| sF10 != sF12 ),
inference(definition_folding,[],[f43,f67,f63,f61,f49,f59,f57,f55,f53,f51,f49,f47,f45,f63,f61,f49,f59,f57,f55,f65,f53,f51,f49,f47,f45,f63,f61,f49,f59,f57,f55,f53,f51,f49,f47,f45]) ).
fof(f69,definition,
sF13 = join(sK0,one),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f70,plain,
join(sK0,one) = sF13,
inference(reorient_equations,[],[f69]) ).
fof(f71,plain,
one = sF13,
inference(definition_folding,[],[f37,f70]) ).
fof(f73,definition,
( spl14_1
<=> sF10 = sF12 ),
introduced(definition,[new_symbols(definition,[spl14_1])],[avatar_definition]) ).
fof(f75,plain,
( sF10 != sF12
| spl14_1 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f77,definition,
( spl14_2
<=> sF5 = sF11 ),
introduced(definition,[new_symbols(definition,[spl14_2])],[avatar_definition]) ).
fof(f78,plain,
( sF5 = sF11
| ~ spl14_2 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f80,plain,
( ~ spl14_1
| ~ spl14_2 ),
inference(avatar_split_clause,[],[f68,f77,f73]) ).
fof(f81,plain,
one = join(sK0,one),
inference(forward_demodulation,[],[f70,f71]) ).
fof(f145,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f23,f21]) ).
fof(f146,plain,
! [X0,X1] : join(complement(join(complement(X1),complement(X0))),complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f23,f21]) ).
fof(f147,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(superposition,[],[f23,f21]) ).
fof(f151,plain,
sF4 = join(sF3,sF2),
inference(superposition,[],[f51,f21]) ).
fof(f153,plain,
sF11 = join(sF5,sF10),
inference(superposition,[],[f65,f21]) ).
fof(f154,plain,
sF11 = sF12,
inference(forward_demodulation,[],[f153,f67]) ).
fof(f162,plain,
( sF10 != sF11
| spl14_1 ),
inference(superposition,[],[f75,f154]) ).
fof(f164,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f30,f28]) ).
fof(f169,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f27,f30]) ).
fof(f187,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f169,f30]) ).
fof(f196,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f187,f29]) ).
fof(f199,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f196,f29]) ).
fof(f201,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f199,f30]) ).
fof(f320,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),complement(X1))),join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f22,f23]) ).
fof(f338,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f21,f22]) ).
fof(f577,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f28,f201]) ).
fof(f588,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f577,f28]) ).
fof(f603,plain,
! [X0,X1] : composition(X0,join(one,X1)) = join(X0,composition(X0,X1)),
inference(superposition,[],[f588,f26]) ).
fof(f626,plain,
! [X0] : composition(X0,top) = join(X0,composition(X0,complement(one))),
inference(superposition,[],[f603,f32]) ).
fof(f662,plain,
! [X0] : composition(X0,top) = join(X0,composition(X0,sF3)),
inference(forward_demodulation,[],[f626,f49]) ).
fof(f673,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f164,f26]) ).
fof(f687,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f673,f28]) ).
fof(f701,plain,
! [X0,X1] : join(X0,composition(X1,X0)) = composition(join(converse(one),X1),X0),
inference(superposition,[],[f27,f687]) ).
fof(f709,plain,
one = converse(one),
inference(superposition,[],[f26,f687]) ).
fof(f719,plain,
! [X0,X1] : join(X0,composition(X1,X0)) = composition(join(one,X1),X0),
inference(forward_demodulation,[],[f701,f709]) ).
fof(f726,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f687,f709]) ).
fof(f743,plain,
! [X0] : complement(X0) = join(composition(converse(one),complement(X0)),complement(X0)),
inference(superposition,[],[f31,f726]) ).
fof(f757,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f743,f687]) ).
fof(f766,plain,
sF5 = join(sF5,sF5),
inference(superposition,[],[f757,f53]) ).
fof(f779,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = join(X0,complement(join(complement(X0),X1))),
inference(superposition,[],[f320,f757]) ).
fof(f786,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f779,f23]) ).
fof(f808,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f786,f21]) ).
fof(f812,plain,
! [X0] : join(X0,complement(complement(X0))) = X0,
inference(superposition,[],[f786,f786]) ).
fof(f814,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f786,f39]) ).
fof(f913,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f21,f814]) ).
fof(f980,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(complement(join(complement(X0),complement(complement(X0)))),X1)),
inference(superposition,[],[f320,f812]) ).
fof(f997,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(zero,X1)),
inference(forward_demodulation,[],[f980,f39]) ).
fof(f1004,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),X1),
inference(forward_demodulation,[],[f997,f913]) ).
fof(f1008,plain,
! [X0] : join(one,X0) = join(complement(sF3),X0),
inference(superposition,[],[f1004,f49]) ).
fof(f1034,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(superposition,[],[f786,f1004]) ).
fof(f1037,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(complement(X0)),complement(X1)))),
inference(superposition,[],[f147,f1004]) ).
fof(f1043,plain,
! [X0,X1] : join(X0,X1) = join(X1,complement(complement(X0))),
inference(superposition,[],[f21,f1004]) ).
fof(f1044,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X1,join(X2,complement(complement(X0)))),
inference(superposition,[],[f338,f1004]) ).
fof(f1052,plain,
! [X0] : complement(complement(X0)) = join(X0,zero),
inference(superposition,[],[f814,f1004]) ).
fof(f1053,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f1052,f814]) ).
fof(f1060,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(X0,complement(X1)))),
inference(forward_demodulation,[],[f1037,f1004]) ).
fof(f1080,plain,
one = complement(sF3),
inference(superposition,[],[f1053,f49]) ).
fof(f1082,plain,
sK0 = complement(sF1),
inference(superposition,[],[f1053,f45]) ).
fof(f1083,plain,
sF1 = complement(sF2),
inference(superposition,[],[f1053,f47]) ).
fof(f1085,plain,
sF6 = complement(sF7),
inference(superposition,[],[f1053,f57]) ).
fof(f1097,plain,
! [X0,X1] : complement(X0) = join(complement(join(complement(X1),X0)),complement(join(X0,X1))),
inference(superposition,[],[f145,f1053]) ).
fof(f1109,plain,
sF6 = sF8,
inference(forward_demodulation,[],[f1085,f59]) ).
fof(f1110,plain,
sK0 = sF2,
inference(forward_demodulation,[],[f1082,f47]) ).
fof(f1113,plain,
sF6 = composition(sF2,top),
inference(superposition,[],[f55,f1110]) ).
fof(f1115,plain,
sF9 = join(sF6,sF3),
inference(superposition,[],[f61,f1109]) ).
fof(f1280,plain,
! [X0,X1] : complement(X1) = join(complement(X1),complement(join(X0,X1))),
inference(superposition,[],[f1034,f21]) ).
fof(f1304,plain,
complement(sK0) = join(complement(sK0),complement(one)),
inference(superposition,[],[f1034,f81]) ).
fof(f1351,plain,
complement(sK0) = join(complement(sK0),sF3),
inference(forward_demodulation,[],[f1304,f49]) ).
fof(f1374,plain,
sF1 = join(sF1,sF3),
inference(forward_demodulation,[],[f1351,f45]) ).
fof(f1403,plain,
sF1 = join(sF3,sF1),
inference(superposition,[],[f21,f1374]) ).
fof(f1444,plain,
complement(sF3) = join(complement(sF3),complement(sF1)),
inference(superposition,[],[f1280,f1374]) ).
fof(f1445,plain,
complement(sF3) = join(complement(sF3),complement(sF4)),
inference(superposition,[],[f1280,f51]) ).
fof(f1448,plain,
complement(sF3) = join(complement(sF3),complement(sF9)),
inference(superposition,[],[f1280,f61]) ).
fof(f1485,plain,
complement(sF3) = join(one,complement(sF9)),
inference(forward_demodulation,[],[f1448,f1008]) ).
fof(f1487,plain,
complement(sF3) = join(one,complement(sF4)),
inference(forward_demodulation,[],[f1445,f1008]) ).
fof(f1488,plain,
complement(sF3) = join(one,complement(sF1)),
inference(forward_demodulation,[],[f1444,f1008]) ).
fof(f1506,plain,
complement(sF3) = join(one,sF10),
inference(forward_demodulation,[],[f1485,f63]) ).
fof(f1508,plain,
complement(sF3) = join(one,sF5),
inference(forward_demodulation,[],[f1487,f53]) ).
fof(f1509,plain,
complement(sF3) = join(one,sF2),
inference(forward_demodulation,[],[f1488,f47]) ).
fof(f1522,plain,
one = join(one,sF10),
inference(forward_demodulation,[],[f1506,f1080]) ).
fof(f1524,plain,
one = join(one,sF5),
inference(forward_demodulation,[],[f1508,f1080]) ).
fof(f1525,plain,
one = join(one,sF2),
inference(forward_demodulation,[],[f1509,f1080]) ).
fof(f1540,plain,
! [X0] : composition(one,X0) = join(X0,composition(sF5,X0)),
inference(superposition,[],[f719,f1524]) ).
fof(f1550,plain,
! [X0] : join(X0,composition(sF5,X0)) = X0,
inference(forward_demodulation,[],[f1540,f726]) ).
fof(f1715,plain,
sF9 = join(sF3,sF6),
inference(superposition,[],[f21,f1115]) ).
fof(f1727,plain,
! [X0] : composition(one,X0) = join(X0,composition(sF10,X0)),
inference(superposition,[],[f719,f1522]) ).
fof(f1737,plain,
! [X0] : join(X0,composition(sF10,X0)) = X0,
inference(forward_demodulation,[],[f1727,f726]) ).
fof(f1821,plain,
! [X0] : composition(one,X0) = join(X0,composition(sF2,X0)),
inference(superposition,[],[f719,f1525]) ).
fof(f1833,plain,
! [X0] : join(X0,composition(sF2,X0)) = X0,
inference(forward_demodulation,[],[f1821,f726]) ).
fof(f2665,plain,
complement(sF3) = join(complement(sF4),complement(join(sF3,complement(sF2)))),
inference(superposition,[],[f1060,f151]) ).
fof(f2726,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(join(complement(join(X0,complement(X1))),complement(complement(join(X0,X1))))),complement(complement(X0))),
inference(superposition,[],[f146,f1060]) ).
fof(f2735,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(complement(join(X0,complement(X1))),complement(complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f2726,f1043]) ).
fof(f2782,plain,
complement(sF3) = join(complement(sF4),complement(join(sF3,sF1))),
inference(forward_demodulation,[],[f2665,f1083]) ).
fof(f2805,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(join(X0,X1),complement(join(X0,complement(X1)))))),
inference(forward_demodulation,[],[f2735,f1043]) ).
fof(f2835,plain,
complement(sF3) = join(complement(sF4),complement(sF1)),
inference(forward_demodulation,[],[f2782,f1403]) ).
fof(f2849,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,join(X1,complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f2805,f22]) ).
fof(f2864,plain,
complement(sF3) = join(complement(sF4),sF2),
inference(forward_demodulation,[],[f2835,f47]) ).
fof(f2872,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f2849,f808]) ).
fof(f2879,plain,
complement(sF3) = join(sF5,sF2),
inference(forward_demodulation,[],[f2864,f53]) ).
fof(f2885,plain,
one = join(sF5,sF2),
inference(forward_demodulation,[],[f2879,f1080]) ).
fof(f2926,plain,
! [X0,X1] : join(X1,complement(X0)) = join(X1,complement(join(X0,X1))),
inference(superposition,[],[f2872,f21]) ).
fof(f3272,plain,
! [X2,X0,X1] : join(X2,join(X0,complement(X1))) = join(X0,join(complement(join(X1,X0)),X2)),
inference(superposition,[],[f338,f2926]) ).
fof(f3803,plain,
! [X0] : complement(composition(sF2,complement(X0))) = join(complement(complement(X0)),complement(join(composition(sF2,complement(X0)),X0))),
inference(superposition,[],[f1097,f1833]) ).
fof(f3975,plain,
! [X0] : complement(composition(sF2,complement(X0))) = join(X0,complement(join(composition(sF2,complement(X0)),X0))),
inference(forward_demodulation,[],[f3803,f1004]) ).
fof(f4054,plain,
! [X0] : complement(composition(sF2,complement(X0))) = join(X0,complement(composition(sF2,complement(X0)))),
inference(forward_demodulation,[],[f3975,f2926]) ).
fof(f4460,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(composition(sF2,complement(complement(X0))))),join(complement(join(complement(X0),composition(sF2,complement(complement(X0))))),X1)),
inference(superposition,[],[f320,f4054]) ).
fof(f4500,plain,
! [X0,X1] : join(X0,X1) = join(composition(sF2,complement(complement(X0))),join(complement(join(complement(X0),composition(sF2,complement(complement(X0))))),X1)),
inference(forward_demodulation,[],[f4460,f1004]) ).
fof(f4532,plain,
! [X0,X1] : join(X0,X1) = join(X1,join(composition(sF2,complement(complement(X0))),complement(complement(X0)))),
inference(forward_demodulation,[],[f4500,f3272]) ).
fof(f4546,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,composition(sF2,complement(complement(X0))))),
inference(forward_demodulation,[],[f4532,f1044]) ).
fof(f4552,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,composition(sF2,X0))),
inference(forward_demodulation,[],[f4546,f1053]) ).
fof(f5647,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(composition(sF5,X0),X1)),
inference(superposition,[],[f338,f1550]) ).
fof(f6289,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(composition(sF10,X0),X1)),
inference(superposition,[],[f338,f1737]) ).
fof(f8126,plain,
! [X0,X1] : join(composition(sF5,X1),X0) = join(X0,composition(sF5,join(X0,X1))),
inference(superposition,[],[f5647,f588]) ).
fof(f8367,plain,
join(sF5,composition(sF5,one)) = join(composition(sF5,sF2),sF5),
inference(superposition,[],[f8126,f2885]) ).
fof(f8449,plain,
join(sF5,sF5) = join(composition(sF5,sF2),sF5),
inference(forward_demodulation,[],[f8367,f26]) ).
fof(f8508,plain,
sF5 = join(composition(sF5,sF2),sF5),
inference(forward_demodulation,[],[f8449,f766]) ).
fof(f10364,plain,
! [X0,X1] : join(composition(sF10,X1),X0) = join(X0,composition(sF10,join(X0,X1))),
inference(superposition,[],[f6289,f588]) ).
fof(f10630,plain,
join(sF5,composition(sF10,one)) = join(composition(sF10,sF2),sF5),
inference(superposition,[],[f10364,f2885]) ).
fof(f10727,plain,
join(sF5,sF10) = join(composition(sF10,sF2),sF5),
inference(forward_demodulation,[],[f10630,f26]) ).
fof(f10789,plain,
sF12 = join(composition(sF10,sF2),sF5),
inference(forward_demodulation,[],[f10727,f67]) ).
fof(f10805,plain,
sF11 = join(composition(sF10,sF2),sF5),
inference(forward_demodulation,[],[f10789,f154]) ).
fof(f10854,plain,
join(sF3,sF2) = join(sF3,composition(sF2,top)),
inference(superposition,[],[f4552,f662]) ).
fof(f10989,plain,
join(sF3,sF2) = join(sF3,sF6),
inference(forward_demodulation,[],[f10854,f1113]) ).
fof(f11007,plain,
sF9 = join(sF3,sF2),
inference(forward_demodulation,[],[f10989,f1715]) ).
fof(f11011,plain,
sF4 = sF9,
inference(forward_demodulation,[],[f11007,f151]) ).
fof(f11015,plain,
complement(sF4) = sF10,
inference(superposition,[],[f63,f11011]) ).
fof(f11016,plain,
sF5 = sF10,
inference(forward_demodulation,[],[f11015,f53]) ).
fof(f11036,plain,
sF11 = join(composition(sF5,sF2),sF5),
inference(superposition,[],[f10805,f11016]) ).
fof(f11037,plain,
sF5 = sF11,
inference(forward_demodulation,[],[f11036,f8508]) ).
fof(f11045,plain,
spl14_2,
inference(avatar_split_clause,[],[f11037,f77]) ).
fof(f11264,plain,
( sF5 != sF10
| spl14_1
| ~ spl14_2 ),
inference(superposition,[],[f162,f78]) ).
fof(f11272,plain,
( $false
| spl14_1
| ~ spl14_2 ),
inference(forward_subsumption_resolution,[],[f11264,f11016]) ).
fof(f11273,plain,
( spl14_1
| ~ spl14_2 ),
inference(avatar_contradiction_clause,[],[f11272]) ).
cnf(s1,plain,
( ~ spl14_1
| ~ spl14_2 ),
inference(sat_conversion,[],[f80]) ).
cnf(s2,plain,
spl14_2,
inference(sat_conversion,[],[f11045]) ).
cnf(s5,plain,
( spl14_1
| ~ spl14_2 ),
inference(sat_conversion,[],[f11273]) ).
cnf(s6,plain,
spl14_1,
inference(rat,[],[s5,s2]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s1,s2,s6]) ).
fof(f11276,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : REL027+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 % Computer : n002.cluster.edu
% 0.10/0.40 % Model : x86_64 x86_64
% 0.10/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.40 % Memory : 8046.5625MB
% 0.10/0.40 % OS : Linux 6.8.0-71-generic
% 0.10/0.40 % CPULimit : 300
% 0.10/0.40 % WCLimit : 300
% 0.10/0.40 % DateTime : Sun Sep 27 22:56:22 UTC 2026
% 0.10/0.40 % CPUTime :
% 0.10/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.44 Running first-order theorem proving
% 0.10/0.44 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.86/3.45 % (3980623)Detected formulas, will run a generic FOF schedule.
% 16.86/3.45 % (3980651)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4055276185:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 16.86/3.45 % (3980649)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1672059379:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 16.86/3.45 % (3980646)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=362528010:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 16.86/3.45 % (3980647)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=971670628:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 16.86/3.45 % (3980648)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=3917559481:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 16.86/3.45 % (3980652)dis-21_1_sil=8000:lcm=predicate:random_seed=1234735313:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 16.86/3.45 % (3980652)Refutation not found, incomplete strategy
% 16.86/3.45 % (3980652)------------------------------
% 16.86/3.45 % (3980652)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.86/3.45 % (3980652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.86/3.45 % (3980652)CaDiCaL version: 2.1.3
% 16.86/3.45 % (3980652)Termination reason: Refutation not found, incomplete strategy
% 16.86/3.45 % (3980652)Time elapsed: 0.002 s
% 16.86/3.45 % (3980652)Peak memory usage: 88 MB
% 16.86/3.45 % (3980652)Instructions burned: 1 (million)
% 16.86/3.45 % (3980650)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3227990988:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 16.86/3.45 % (3980651)Instruction limit reached!
% 16.86/3.45 % (3980651)------------------------------
% 16.86/3.45 % (3980651)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.86/3.45 % (3980651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.86/3.45 % (3980651)CaDiCaL version: 2.1.3
% 16.86/3.45 % (3980651)Termination reason: Instruction limit
% 16.86/3.45 % (3980651)Termination phase: Saturation
% 16.86/3.45 % (3980651)Time elapsed: 0.073 s
% 16.86/3.45 % (3980651)Peak memory usage: 90 MB
% 16.86/3.45 % (3980651)Instructions burned: 139 (million)
% 16.86/3.45 % (3980649)Instruction limit reached!
% 16.86/3.45 % (3980649)------------------------------
% 16.86/3.45 % (3980649)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.86/3.45 % (3980649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.86/3.45 % (3980649)CaDiCaL version: 2.1.3
% 16.86/3.45 % (3980649)Termination reason: Instruction limit
% 16.86/3.45 % (3980649)Termination phase: Saturation
% 16.86/3.45 % (3980649)Time elapsed: 0.093 s
% 16.86/3.45 % (3980649)Peak memory usage: 89 MB
% 16.86/3.45 % (3980649)Instructions burned: 110 (million)
% 16.86/3.45 % (3980650)Instruction limit reached!
% 16.86/3.45 % (3980650)------------------------------
% 16.86/3.45 % (3980650)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.86/3.45 % (3980650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.86/3.45 % (3980650)CaDiCaL version: 2.1.3
% 16.86/3.45 % (3980650)Termination reason: Instruction limit
% 16.86/3.45 % (3980650)Termination phase: Saturation
% 16.86/3.45 % (3980650)Time elapsed: 0.101 s
% 16.86/3.45 % (3980650)Peak memory usage: 89 MB
% 16.86/3.45 % (3980650)Instructions burned: 120 (million)
% 16.86/3.45 % (3980664)lrs+10_1_sil=8000:sp=occurrence:random_seed=1229466685:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 16.86/3.45 % (3980652)------------------------------
% 16.86/3.45 % (3980652)------------------------------
% 16.86/3.45 % (3980668)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2594988108:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 16.86/3.45 % (3980666)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1922099696:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 16.86/3.45 % (3980672)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=500358257:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 16.86/3.45 % (3980666)Instruction limit reached!
% 16.86/3.45 % (3980666)------------------------------
% 16.86/3.45 % (3980666)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.86/3.45 % (3980666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.86/3.45 % (3980666)CaDiCaL version: 2.1.3
% 16.86/3.45 % (3980666)Termination reason: Instruction limit
% 16.86/3.45 % (3980666)Termination phase: Saturation
% 16.86/3.45 % (3980666)Time elapsed: 0.157 s
% 16.86/3.45 % (3980666)Peak memory usage: 90 MB
% 16.86/3.45 % (3980666)Instructions burned: 157 (million)
% 16.86/3.45 % (3980664)Instruction limit reached!
% 16.86/3.45 % (3980664)------------------------------
% 16.86/3.45 % (3980664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.86/3.45 % (3980664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.86/3.45 % (3980664)CaDiCaL version: 2.1.3
% 16.86/3.45 % (3980664)Termination reason: Instruction limit
% 16.86/3.45 % (3980664)Termination phase: Saturation
% 16.86/3.45 % (3980664)Time elapsed: 0.254 s
% 16.86/3.45 % (3980664)Peak memory usage: 91 MB
% 16.86/3.45 % (3980664)Instructions burned: 286 (million)
% 16.86/3.45 % (3980668)Instruction limit reached!
% 16.86/3.45 % (3980668)------------------------------
% 16.86/3.45 % (3980668)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.86/3.45 % (3980668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.86/3.45 % (3980668)CaDiCaL version: 2.1.3
% 16.86/3.45 % (3980668)Termination reason: Instruction limit
% 16.86/3.45 % (3980668)Termination phase: Saturation
% 16.86/3.45 % (3980668)Time elapsed: 0.243 s
% 16.86/3.45 % (3980668)Peak memory usage: 92 MB
% 16.86/3.45 % (3980668)Instructions burned: 326 (million)
% 16.86/3.45 % (3980672)Instruction limit reached!
% 16.86/3.45 % (3980672)------------------------------
% 16.86/3.45 % (3980672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.86/3.45 % (3980672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.86/3.45 % (3980672)CaDiCaL version: 2.1.3
% 16.86/3.45 % (3980672)Termination reason: Instruction limit
% 16.86/3.45 % (3980672)Termination phase: Saturation
% 16.86/3.45 % (3980672)Time elapsed: 0.136 s
% 16.86/3.45 % (3980672)Peak memory usage: 92 MB
% 16.86/3.45 % (3980672)Instructions burned: 249 (million)
% 16.86/3.45 % (3980680)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2986946866:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 16.86/3.45 % (3980681)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=235950081:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 16.86/3.45 % (3980683)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=770900030:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 16.86/3.45 % (3980683)Refutation not found, incomplete strategy
% 16.86/3.45 % (3980683)------------------------------
% 16.86/3.45 % (3980683)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.86/3.45 % (3980683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.86/3.45 % (3980683)CaDiCaL version: 2.1.3
% 16.86/3.45 % (3980683)Termination reason: Refutation not found, incomplete strategy
% 16.86/3.45 % (3980683)Time elapsed: 0.002 s
% 16.86/3.45 % (3980683)Peak memory usage: 88 MB
% 16.86/3.45 % (3980683)Instructions burned: 1 (million)
% 16.86/3.45 % (3980682)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2947815586:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 16.86/3.45 % (3980682)Instruction limit reached!
% 16.86/3.45 % (3980682)------------------------------
% 16.86/3.45 % (3980682)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.86/3.45 % (3980682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.86/3.45 % (3980682)CaDiCaL version: 2.1.3
% 16.86/3.45 % (3980682)Termination reason: Instruction limit
% 16.86/3.45 % (3980682)Termination phase: Saturation
% 16.86/3.45 % (3980682)Time elapsed: 0.114 s
% 16.86/3.45 % (3980682)Peak memory usage: 90 MB
% 16.86/3.45 % (3980682)Instructions burned: 113 (million)
% 16.86/3.45 % (3980680)Instruction limit reached!
% 16.86/3.45 % (3980680)------------------------------
% 16.86/3.45 % (3980680)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.86/3.45 % (3980680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.86/3.45 % (3980680)CaDiCaL version: 2.1.3
% 16.86/3.45 % (3980680)Termination reason: Instruction limit
% 16.86/3.45 % (3980680)Termination phase: Saturation
% 16.86/3.45 % (3980680)Time elapsed: 0.276 s
% 16.86/3.45 % (3980680)Peak memory usage: 91 MB
% 16.86/3.45 % (3980680)Instructions burned: 296 (million)
% 16.86/3.45 % (3980692)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=358549363:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2989 on theBenchmark for (2989ds/114Mi)
% 16.86/3.45 % (3980683)------------------------------
% 16.86/3.45 % (3980683)------------------------------
% 16.86/3.45 % (3980693)lrs+10_1_sil=8000:sp=occurrence:random_seed=950225853:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2988 on theBenchmark for (2988ds/907Mi)
% 16.86/3.45 % (3980692)Instruction limit reached!
% 16.86/3.45 % (3980692)------------------------------
% 16.86/3.45 % (3980692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.86/3.45 % (3980692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.86/3.45 % (3980692)CaDiCaL version: 2.1.3
% 16.86/3.45 % (3980692)Termination reason: Instruction limit
% 16.86/3.45 % (3980692)Termination phase: Saturation
% 16.86/3.45 % (3980692)Time elapsed: 0.106 s
% 16.86/3.45 % (3980692)Peak memory usage: 88 MB
% 16.86/3.45 % (3980692)Instructions burned: 114 (million)
% 16.86/3.45 % (3980696)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3877483524:i=437:sd=1:aac=none:ss=included_2987 on theBenchmark for (2987ds/437Mi)
% 16.86/3.45 % (3980698)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3388518400:i=5202:ss=axioms:sgt=16_2986 on theBenchmark for (2986ds/5202Mi)
% 16.86/3.45 % (3980696)Instruction limit reached!
% 16.86/3.45 % (3980696)------------------------------
% 16.86/3.45 % (3980696)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.86/3.45 % (3980696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.86/3.45 % (3980696)CaDiCaL version: 2.1.3
% 16.86/3.45 % (3980696)Termination reason: Instruction limit
% 16.86/3.45 % (3980696)Termination phase: Saturation
% 16.86/3.45 % (3980696)Time elapsed: 0.326 s
% 16.86/3.45 % (3980696)Peak memory usage: 90 MB
% 16.86/3.45 % (3980696)Instructions burned: 437 (million)
% 16.86/3.45 % (3980704)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1886524583:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2982 on theBenchmark for (2982ds/134Mi)
% 16.86/3.45 % (3980704)Refutation not found, incomplete strategy
% 16.86/3.45 % (3980704)------------------------------
% 16.86/3.45 % (3980704)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.86/3.45 % (3980704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.86/3.45 % (3980704)CaDiCaL version: 2.1.3
% 16.86/3.45 % (3980704)Termination reason: Refutation not found, incomplete strategy
% 16.86/3.45 % (3980704)Time elapsed: 0.004 s
% 16.86/3.45 % (3980704)Peak memory usage: 89 MB
% 16.86/3.45 % (3980704)Instructions burned: 2 (million)
% 16.86/3.45 % (3980693)Instruction limit reached!
% 16.86/3.45 % (3980693)------------------------------
% 16.86/3.45 % (3980693)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.86/3.45 % (3980693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.86/3.45 % (3980693)CaDiCaL version: 2.1.3
% 16.86/3.45 % (3980693)Termination reason: Instruction limit
% 16.86/3.45 % (3980693)Termination phase: Saturation
% 16.86/3.45 % (3980693)Time elapsed: 0.713 s
% 16.86/3.45 % (3980693)Peak memory usage: 99 MB
% 16.86/3.45 % (3980693)Instructions burned: 907 (million)
% 16.86/3.45 % (3980706)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3581793335:st=8:i=592:sd=3:ep=RST:ss=axioms_2979 on theBenchmark for (2979ds/592Mi)
% 16.86/3.45 % (3980646)First to succeed.
% 16.86/3.45 % (3980646)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3980623"
% 16.86/3.45 % (3980704)------------------------------
% 16.86/3.45 % (3980704)------------------------------
% 16.86/3.45 % (3980709)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3061476494:st=3:i=13193:sd=3:ss=axioms_2978 on theBenchmark for (2978ds/13193Mi)
% 16.86/3.45 % (3980646)Refutation found. Thanks to Tanya!
% 16.86/3.45 % SZS status Theorem for theBenchmark
% 16.86/3.45 % SZS output start Proof for theBenchmark
% See solution above
% 17.96/3.64 % (3980646)------------------------------
% 17.96/3.64 % (3980646)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.96/3.64 % (3980646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.96/3.64 % (3980646)CaDiCaL version: 2.1.3
% 17.96/3.64 % (3980646)Termination reason: Refutation
% 17.96/3.64 % (3980646)Time elapsed: 1.981 s
% 17.96/3.64 % (3980646)Peak memory usage: 141 MB
% 17.96/3.64 % (3980646)Instructions burned: 2110 (million)
% 17.96/3.64 % (3980646)------------------------------
% 17.96/3.64 % (3980646)------------------------------
% 17.96/3.64 % (3980623)Success in time 2.437 s
% 17.96/3.64 % Vampire exiting
%------------------------------------------------------------------------------