%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL033+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 12:33:59 PM UTC 2026
% Result : Theorem 13.72s 6.52s
% Output : Refutation 40.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 27
% Syntax : Number of formulae : 283 ( 265 unt; 14 def)
% Number of atoms : 307 ( 284 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 47 ( 23 ~; 16 |; 4 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 18 con; 0-2 aty)
% Number of variables : 280 ( 0 sgn 277 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux1_join_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux2_join_associativity) ).
fof(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan) ).
fof(f4,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_identity) ).
fof(f7,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_distributivity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_multiplicativity) ).
fof(f11,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_top) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_zero) ).
fof(f14,conjecture,
! [X0,X1,X2] :
( composition(X0,top) = X0
=> ( join(composition(meet(X0,X1),X2),meet(X0,composition(X1,X2))) = meet(X0,composition(X1,X2))
& join(meet(X0,composition(X1,X2)),composition(meet(X0,X1),X2)) = composition(meet(X0,X1),X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0,X1,X2] :
( composition(X0,top) = X0
=> ( join(composition(meet(X0,X1),X2),meet(X0,composition(X1,X2))) = meet(X0,composition(X1,X2))
& join(meet(X0,composition(X1,X2)),composition(meet(X0,X1),X2)) = composition(meet(X0,X1),X2) ) ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
? [X0,X1,X2] :
( ( meet(X0,composition(X1,X2)) != join(composition(meet(X0,X1),X2),meet(X0,composition(X1,X2)))
| composition(meet(X0,X1),X2) != join(meet(X0,composition(X1,X2)),composition(meet(X0,X1),X2)) )
& composition(X0,top) = X0 ),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
( ( meet(sK0,composition(sK1,sK2)) != join(composition(meet(sK0,sK1),sK2),meet(sK0,composition(sK1,sK2)))
| composition(meet(sK0,sK1),sK2) != join(meet(sK0,composition(sK1,sK2)),composition(meet(sK0,sK1),sK2)) )
& sK0 = composition(sK0,top) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f16]) ).
fof(f18,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f19,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f20,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f21,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f23,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f24,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f25,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f26,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f27,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f28,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f29,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f30,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f31,plain,
sK0 = composition(sK0,top),
inference(cnf_transformation,[],[f17]) ).
fof(f32,plain,
( meet(sK0,composition(sK1,sK2)) != join(composition(meet(sK0,sK1),sK2),meet(sK0,composition(sK1,sK2)))
| composition(meet(sK0,sK1),sK2) != join(meet(sK0,composition(sK1,sK2)),composition(meet(sK0,sK1),sK2)) ),
inference(cnf_transformation,[],[f17]) ).
fof(f33,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f30,f21]) ).
fof(f34,plain,
( complement(join(complement(sK0),complement(composition(sK1,sK2)))) != join(composition(complement(join(complement(sK0),complement(sK1))),sK2),complement(join(complement(sK0),complement(composition(sK1,sK2)))))
| composition(complement(join(complement(sK0),complement(sK1))),sK2) != join(complement(join(complement(sK0),complement(composition(sK1,sK2)))),composition(complement(join(complement(sK0),complement(sK1))),sK2)) ),
inference(definition_unfolding,[],[f32,f21,f21,f21,f21,f21,f21]) ).
fof(f35,definition,
sF3 = complement(sK0),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f36,plain,
complement(sK0) = sF3,
inference(reorient_equations,[],[f35]) ).
fof(f37,definition,
sF4 = composition(sK1,sK2),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f38,plain,
composition(sK1,sK2) = sF4,
inference(reorient_equations,[],[f37]) ).
fof(f39,definition,
sF5 = complement(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f40,plain,
complement(sF4) = sF5,
inference(reorient_equations,[],[f39]) ).
fof(f41,definition,
sF6 = join(sF3,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f42,plain,
join(sF3,sF5) = sF6,
inference(reorient_equations,[],[f41]) ).
fof(f43,definition,
sF7 = complement(sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f44,plain,
complement(sF6) = sF7,
inference(reorient_equations,[],[f43]) ).
fof(f45,definition,
sF8 = complement(sK1),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f46,plain,
complement(sK1) = sF8,
inference(reorient_equations,[],[f45]) ).
fof(f47,definition,
sF9 = join(sF3,sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f48,plain,
join(sF3,sF8) = sF9,
inference(reorient_equations,[],[f47]) ).
fof(f49,definition,
sF10 = complement(sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f50,plain,
complement(sF9) = sF10,
inference(reorient_equations,[],[f49]) ).
fof(f51,definition,
sF11 = composition(sF10,sK2),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f52,plain,
composition(sF10,sK2) = sF11,
inference(reorient_equations,[],[f51]) ).
fof(f53,definition,
sF12 = join(sF11,sF7),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f54,plain,
join(sF11,sF7) = sF12,
inference(reorient_equations,[],[f53]) ).
fof(f55,definition,
sF13 = join(sF7,sF11),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f56,plain,
join(sF7,sF11) = sF13,
inference(reorient_equations,[],[f55]) ).
fof(f57,plain,
( sF7 != sF12
| sF11 != sF13 ),
inference(definition_folding,[],[f34,f56,f52,f50,f48,f46,f36,f44,f42,f40,f38,f36,f52,f50,f48,f46,f36,f54,f44,f42,f40,f38,f36,f52,f50,f48,f46,f36,f44,f42,f40,f38,f36]) ).
fof(f58,definition,
sF14 = composition(sK0,top),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f59,plain,
composition(sK0,top) = sF14,
inference(reorient_equations,[],[f58]) ).
fof(f60,plain,
sK0 = sF14,
inference(definition_folding,[],[f31,f59]) ).
fof(f62,definition,
( spl15_1
<=> sF11 = sF13 ),
introduced(definition,[new_symbols(definition,[spl15_1])],[avatar_definition]) ).
fof(f64,plain,
( sF11 != sF13
| spl15_1 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f66,definition,
( spl15_2
<=> sF7 = sF12 ),
introduced(definition,[new_symbols(definition,[spl15_2])],[avatar_definition]) ).
fof(f67,plain,
( sF7 = sF12
| ~ spl15_2 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f69,plain,
( ~ spl15_1
| ~ spl15_2 ),
inference(avatar_split_clause,[],[f57,f66,f62]) ).
fof(f70,plain,
zero = complement(top),
inference(backward_demodulation,[],[f33,f29]) ).
fof(f71,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(backward_demodulation,[],[f28,f18]) ).
fof(f72,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(backward_demodulation,[],[f20,f18]) ).
fof(f73,plain,
sF12 = join(sF7,sF11),
inference(forward_demodulation,[],[f54,f18]) ).
fof(f74,plain,
sK0 = composition(sK0,top),
inference(forward_demodulation,[],[f59,f60]) ).
fof(f75,plain,
sF12 = sF13,
inference(backward_demodulation,[],[f56,f73]) ).
fof(f76,plain,
( sF11 != sF12
| spl15_1 ),
inference(forward_demodulation,[],[f64,f75]) ).
fof(f78,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f26,f25]) ).
fof(f81,plain,
! [X0] : composition(join(sK1,X0),sK2) = join(sF4,composition(X0,sK2)),
inference(superposition,[],[f24,f38]) ).
fof(f82,plain,
! [X0] : composition(join(X0,sF10),sK2) = join(composition(X0,sK2),sF11),
inference(superposition,[],[f24,f52]) ).
fof(f87,plain,
! [X0] : join(sF11,composition(X0,sK2)) = composition(join(X0,sF10),sK2),
inference(forward_demodulation,[],[f82,f18]) ).
fof(f103,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f27,f25]) ).
fof(f105,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f24,f27]) ).
fof(f110,plain,
! [X0] : top = join(complement(join(zero,X0)),complement(join(zero,complement(X0)))),
inference(superposition,[],[f72,f70]) ).
fof(f111,plain,
! [X0] : sK0 = join(complement(join(sF3,X0)),complement(join(sF3,complement(X0)))),
inference(superposition,[],[f72,f36]) ).
fof(f112,plain,
! [X0] : sK1 = join(complement(join(sF8,X0)),complement(join(sF8,complement(X0)))),
inference(superposition,[],[f72,f46]) ).
fof(f113,plain,
! [X0] : sF4 = join(complement(join(sF5,X0)),complement(join(sF5,complement(X0)))),
inference(superposition,[],[f72,f40]) ).
fof(f114,plain,
! [X0] : sF6 = join(complement(join(sF7,X0)),complement(join(sF7,complement(X0)))),
inference(superposition,[],[f72,f44]) ).
fof(f122,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1)))),complement(X0)),
inference(superposition,[],[f72,f72]) ).
fof(f127,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),complement(join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1))))),
inference(forward_demodulation,[],[f122,f18]) ).
fof(f154,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f19,f29]) ).
fof(f158,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(complement(join(complement(X0),complement(X1))),X2)),
inference(superposition,[],[f19,f72]) ).
fof(f162,plain,
! [X0] : join(sF3,join(sF5,X0)) = join(sF6,X0),
inference(superposition,[],[f19,f42]) ).
fof(f163,plain,
! [X0] : join(sF7,join(sF11,X0)) = join(sF12,X0),
inference(superposition,[],[f19,f73]) ).
fof(f169,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f18,f19]) ).
fof(f170,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),complement(join(complement(X1),join(complement(join(complement(X0),X1)),complement(X0))))),
inference(backward_demodulation,[],[f127,f169]) ).
fof(f172,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),complement(join(complement(X1),join(complement(X0),complement(join(complement(X0),X1)))))),
inference(forward_demodulation,[],[f170,f18]) ).
fof(f192,plain,
! [X0,X1] : join(X0,X1) = join(complement(join(complement(X0),complement(X0))),join(complement(top),X1)),
inference(superposition,[],[f158,f29]) ).
fof(f195,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(complement(X1))))) = join(complement(join(complement(X0),X1)),X0),
inference(superposition,[],[f158,f72]) ).
fof(f205,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(complement(X1))))) = join(X0,complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f195,f18]) ).
fof(f206,plain,
! [X0,X1] : join(X0,X1) = join(complement(top),join(X1,complement(join(complement(X0),complement(X0))))),
inference(forward_demodulation,[],[f192,f169]) ).
fof(f218,plain,
! [X0,X1] : join(X0,X1) = join(zero,join(X1,complement(join(complement(X0),complement(X0))))),
inference(forward_demodulation,[],[f206,f70]) ).
fof(f250,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f105,f27]) ).
fof(f256,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f250,f26]) ).
fof(f259,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f256,f26]) ).
fof(f261,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f259,f27]) ).
fof(f281,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f25,f261]) ).
fof(f282,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f281,f25]) ).
fof(f304,plain,
! [X0,X1] : composition(X0,join(one,X1)) = join(X0,composition(X0,X1)),
inference(superposition,[],[f282,f23]) ).
fof(f306,plain,
! [X0] : composition(sK0,join(top,X0)) = join(sK0,composition(sK0,X0)),
inference(superposition,[],[f282,f74]) ).
fof(f318,plain,
! [X2,X3,X0,X1] : join(composition(X0,join(X1,X2)),X3) = join(composition(X0,X1),join(composition(X0,X2),X3)),
inference(superposition,[],[f19,f282]) ).
fof(f366,plain,
complement(top) = join(complement(top),composition(converse(sK0),complement(sK0))),
inference(superposition,[],[f71,f74]) ).
fof(f377,plain,
complement(top) = join(complement(top),composition(converse(sK0),sF3)),
inference(forward_demodulation,[],[f366,f36]) ).
fof(f379,plain,
zero = join(zero,composition(converse(sK0),sF3)),
inference(forward_demodulation,[],[f377,f70]) ).
fof(f383,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f103,f23]) ).
fof(f399,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f383,f25]) ).
fof(f411,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(one,X0))),
inference(superposition,[],[f71,f399]) ).
fof(f419,plain,
one = converse(one),
inference(superposition,[],[f23,f399]) ).
fof(f422,plain,
! [X0] : composition(one,X0) = X0,
inference(backward_demodulation,[],[f399,f419]) ).
fof(f432,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(backward_demodulation,[],[f411,f422]) ).
fof(f439,plain,
! [X0,X1] : join(X0,X1) = join(zero,join(X1,complement(complement(X0)))),
inference(backward_demodulation,[],[f218,f432]) ).
fof(f465,plain,
! [X0,X1] : join(X0,X1) = join(complement(join(complement(X0),X0)),join(complement(complement(X0)),X1)),
inference(superposition,[],[f158,f432]) ).
fof(f469,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,[],[f158,f432]) ).
fof(f471,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f469,f72]) ).
fof(f475,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(X1,complement(join(complement(X0),X0)))),
inference(forward_demodulation,[],[f465,f169]) ).
fof(f476,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(backward_demodulation,[],[f205,f471]) ).
fof(f480,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(X1,complement(join(X0,complement(X0))))),
inference(forward_demodulation,[],[f475,f18]) ).
fof(f484,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(X1,complement(top))),
inference(forward_demodulation,[],[f480,f29]) ).
fof(f486,plain,
! [X0,X1] : join(X0,X1) = join(complement(top),join(complement(complement(X0)),X1)),
inference(forward_demodulation,[],[f484,f169]) ).
fof(f488,plain,
! [X0,X1] : join(X0,X1) = join(zero,join(complement(complement(X0)),X1)),
inference(forward_demodulation,[],[f486,f70]) ).
fof(f496,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(join(complement(X0),X2),complement(join(X0,X1))),
inference(superposition,[],[f476,f158]) ).
fof(f499,plain,
! [X0] : join(X0,complement(top)) = X0,
inference(superposition,[],[f476,f29]) ).
fof(f500,plain,
! [X0] : join(X0,complement(complement(X0))) = X0,
inference(superposition,[],[f476,f476]) ).
fof(f519,plain,
! [X0] : join(X0,zero) = X0,
inference(forward_demodulation,[],[f499,f70]) ).
fof(f520,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(complement(X0),join(X2,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f496,f19]) ).
fof(f533,plain,
! [X0,X1] : join(X0,X1) = join(complement(join(complement(X0),complement(complement(X0)))),join(complement(complement(X0)),X1)),
inference(superposition,[],[f158,f500]) ).
fof(f543,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(X1,complement(join(complement(X0),complement(complement(X0)))))),
inference(forward_demodulation,[],[f533,f169]) ).
fof(f545,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),X1),
inference(forward_demodulation,[],[f543,f520]) ).
fof(f550,plain,
! [X0,X1] : join(X0,X1) = join(zero,join(X0,X1)),
inference(backward_demodulation,[],[f488,f545]) ).
fof(f560,plain,
! [X0,X1] : join(X0,X1) = join(X1,complement(complement(X0))),
inference(backward_demodulation,[],[f439,f550]) ).
fof(f597,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X1,join(X2,complement(complement(X0)))),
inference(superposition,[],[f19,f560]) ).
fof(f611,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(forward_demodulation,[],[f597,f560]) ).
fof(f634,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(superposition,[],[f476,f545]) ).
fof(f636,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(complement(X0)),complement(X1)))),
inference(superposition,[],[f72,f545]) ).
fof(f641,plain,
! [X0,X1] : complement(complement(X0)) = join(X0,complement(join(complement(complement(complement(X0))),X1))),
inference(superposition,[],[f476,f545]) ).
fof(f650,plain,
! [X0,X1] : complement(complement(X0)) = join(X0,complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f641,f545]) ).
fof(f654,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(X0,complement(X1)))),
inference(forward_demodulation,[],[f636,f545]) ).
fof(f659,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f650,f476]) ).
fof(f664,plain,
top = complement(zero),
inference(backward_demodulation,[],[f110,f654]) ).
fof(f665,plain,
sK0 = complement(sF3),
inference(backward_demodulation,[],[f111,f654]) ).
fof(f666,plain,
sF4 = complement(sF5),
inference(backward_demodulation,[],[f113,f654]) ).
fof(f667,plain,
sF6 = complement(sF7),
inference(backward_demodulation,[],[f114,f654]) ).
fof(f668,plain,
sK1 = complement(sF8),
inference(backward_demodulation,[],[f112,f654]) ).
fof(f698,plain,
! [X0,X1] : complement(X1) = join(complement(X1),complement(join(X0,X1))),
inference(superposition,[],[f634,f18]) ).
fof(f706,plain,
complement(sF3) = join(complement(sF3),complement(sF9)),
inference(superposition,[],[f634,f48]) ).
fof(f707,plain,
complement(sF3) = join(complement(sF3),complement(sF6)),
inference(superposition,[],[f634,f42]) ).
fof(f708,plain,
complement(sF7) = join(complement(sF7),complement(sF12)),
inference(superposition,[],[f634,f73]) ).
fof(f712,plain,
sF6 = join(sF6,complement(sF12)),
inference(forward_demodulation,[],[f708,f667]) ).
fof(f713,plain,
complement(sF3) = join(complement(sF3),sF7),
inference(forward_demodulation,[],[f707,f44]) ).
fof(f714,plain,
complement(sF3) = join(complement(sF3),sF10),
inference(forward_demodulation,[],[f706,f50]) ).
fof(f716,plain,
complement(sF3) = join(sF7,complement(sF3)),
inference(forward_demodulation,[],[f713,f18]) ).
fof(f717,plain,
complement(sF3) = join(sF10,complement(sF3)),
inference(forward_demodulation,[],[f714,f18]) ).
fof(f718,plain,
sK0 = join(sF7,sK0),
inference(forward_demodulation,[],[f716,f665]) ).
fof(f719,plain,
sK0 = join(sF10,sK0),
inference(forward_demodulation,[],[f717,f665]) ).
fof(f720,plain,
sK0 = join(sK0,sF7),
inference(forward_demodulation,[],[f718,f18]) ).
fof(f721,plain,
sK0 = join(sK0,sF10),
inference(forward_demodulation,[],[f719,f18]) ).
fof(f728,plain,
! [X0] : complement(complement(X0)) = join(complement(complement(X0)),complement(top)),
inference(superposition,[],[f698,f29]) ).
fof(f734,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(join(X0,X1))),complement(complement(X0))),
inference(superposition,[],[f698,f634]) ).
fof(f740,plain,
complement(sF8) = join(complement(sF8),complement(sF9)),
inference(superposition,[],[f698,f48]) ).
fof(f741,plain,
complement(sF5) = join(complement(sF5),complement(sF6)),
inference(superposition,[],[f698,f42]) ).
fof(f747,plain,
complement(sF5) = join(complement(sF5),sF7),
inference(forward_demodulation,[],[f741,f44]) ).
fof(f748,plain,
complement(sF8) = join(complement(sF8),sF10),
inference(forward_demodulation,[],[f740,f50]) ).
fof(f750,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(X0)),complement(complement(join(X0,X1)))),
inference(forward_demodulation,[],[f734,f18]) ).
fof(f753,plain,
! [X0] : complement(complement(X0)) = join(complement(top),complement(complement(X0))),
inference(forward_demodulation,[],[f728,f18]) ).
fof(f754,plain,
complement(sF5) = join(sF7,complement(sF5)),
inference(forward_demodulation,[],[f747,f18]) ).
fof(f755,plain,
complement(sF8) = join(sF10,complement(sF8)),
inference(forward_demodulation,[],[f748,f18]) ).
fof(f757,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(X0,X1)),
inference(forward_demodulation,[],[f750,f659]) ).
fof(f760,plain,
! [X0] : join(complement(top),X0) = X0,
inference(forward_demodulation,[],[f753,f659]) ).
fof(f761,plain,
sF4 = join(sF7,sF4),
inference(forward_demodulation,[],[f754,f666]) ).
fof(f762,plain,
sK1 = join(sF10,sK1),
inference(forward_demodulation,[],[f755,f668]) ).
fof(f764,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,complement(complement(X0)))),
inference(forward_demodulation,[],[f757,f169]) ).
fof(f765,plain,
! [X0] : join(zero,X0) = X0,
inference(forward_demodulation,[],[f760,f70]) ).
fof(f766,plain,
sF4 = join(sF4,sF7),
inference(forward_demodulation,[],[f761,f18]) ).
fof(f767,plain,
sK1 = join(sK1,sF10),
inference(forward_demodulation,[],[f762,f18]) ).
fof(f769,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,X0)),
inference(forward_demodulation,[],[f764,f659]) ).
fof(f775,plain,
zero = composition(converse(sK0),sF3),
inference(backward_demodulation,[],[f379,f765]) ).
fof(f898,plain,
! [X0,X1] : join(X1,top) = join(X0,join(X1,complement(X0))),
inference(superposition,[],[f611,f29]) ).
fof(f903,plain,
! [X2,X0,X1] : join(X1,complement(X0)) = join(complement(X0),join(X1,complement(join(X2,X0)))),
inference(superposition,[],[f611,f698]) ).
fof(f912,plain,
! [X0] : join(sF7,join(X0,sF11)) = join(X0,sF12),
inference(superposition,[],[f611,f73]) ).
fof(f948,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),complement(join(complement(X0),complement(X1)))),
inference(backward_demodulation,[],[f172,f903]) ).
fof(f961,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(X0,complement(X1)))),
inference(superposition,[],[f948,f659]) ).
fof(f983,plain,
! [X0,X1] : join(complement(X0),complement(complement(X0))) = join(complement(X0),join(X0,X1)),
inference(superposition,[],[f948,f634]) ).
fof(f987,plain,
! [X0,X1] : join(complement(X0),complement(complement(X0))) = join(complement(X0),join(complement(complement(X0)),X1)),
inference(superposition,[],[f948,f476]) ).
fof(f1004,plain,
! [X0,X1] : join(complement(X0),complement(complement(X0))) = join(top,X1),
inference(forward_demodulation,[],[f987,f154]) ).
fof(f1008,plain,
! [X0,X1] : join(complement(X0),complement(complement(X0))) = join(X0,join(X1,complement(X0))),
inference(forward_demodulation,[],[f983,f169]) ).
fof(f1025,plain,
! [X1] : top = join(top,X1),
inference(forward_demodulation,[],[f1004,f29]) ).
fof(f1028,plain,
! [X0,X1] : top = join(X0,join(X1,complement(X0))),
inference(forward_demodulation,[],[f1008,f29]) ).
fof(f1042,plain,
! [X0] : composition(sK0,top) = join(sK0,composition(sK0,X0)),
inference(backward_demodulation,[],[f306,f1025]) ).
fof(f1045,plain,
! [X1] : top = join(X1,top),
inference(backward_demodulation,[],[f898,f1028]) ).
fof(f1050,plain,
! [X0] : sK0 = join(sK0,composition(sK0,X0)),
inference(forward_demodulation,[],[f1042,f74]) ).
fof(f1071,plain,
! [X0,X1] : join(X1,complement(X0)) = join(X1,complement(join(X1,X0))),
inference(superposition,[],[f961,f659]) ).
fof(f1087,plain,
! [X0,X1] : join(X1,X0) = join(X1,complement(join(complement(X0),X1))),
inference(superposition,[],[f961,f18]) ).
fof(f1150,plain,
! [X0,X1] : join(X1,complement(join(X0,X1))) = join(X1,complement(X0)),
inference(superposition,[],[f1087,f659]) ).
fof(f1816,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X0,join(X2,X1)),
inference(superposition,[],[f611,f169]) ).
fof(f2071,plain,
! [X0,X1] : join(complement(join(X1,X0)),X0) = join(complement(join(X1,X0)),join(X0,complement(X1))),
inference(superposition,[],[f769,f1150]) ).
fof(f2135,plain,
! [X0,X1] : join(complement(join(X1,X0)),X0) = join(complement(X1),join(complement(join(X1,X0)),X0)),
inference(forward_demodulation,[],[f2071,f169]) ).
fof(f2160,plain,
! [X0,X1] : join(complement(join(X1,X0)),X0) = join(complement(X1),join(X0,complement(join(X1,X0)))),
inference(forward_demodulation,[],[f2135,f1816]) ).
fof(f2170,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(join(X1,X0)),X0),
inference(forward_demodulation,[],[f2160,f520]) ).
fof(f2180,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X1,X0))),
inference(forward_demodulation,[],[f2170,f18]) ).
fof(f2198,plain,
! [X0,X1] : join(complement(X1),complement(join(X0,X1))) = join(complement(join(X0,X1)),complement(join(complement(X0),X1))),
inference(superposition,[],[f2180,f2180]) ).
fof(f2270,plain,
! [X0,X1] : complement(X1) = join(complement(join(X0,X1)),complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f2198,f698]) ).
fof(f2644,plain,
! [X0] : composition(X0,top) = join(X0,composition(X0,top)),
inference(superposition,[],[f304,f1045]) ).
fof(f2790,plain,
join(sF3,complement(sF8)) = join(sF3,complement(sF9)),
inference(superposition,[],[f1071,f48]) ).
fof(f2849,plain,
join(sF3,complement(sF8)) = join(sF3,sF10),
inference(forward_demodulation,[],[f2790,f50]) ).
fof(f2880,plain,
join(sF3,sK1) = join(sF3,sF10),
inference(forward_demodulation,[],[f2849,f668]) ).
fof(f2904,plain,
join(sK1,sF3) = join(sF3,sF10),
inference(forward_demodulation,[],[f2880,f18]) ).
fof(f2959,plain,
composition(converse(sF3),sK0) = converse(zero),
inference(superposition,[],[f103,f775]) ).
fof(f2987,plain,
complement(sK0) = join(complement(sK0),composition(converse(converse(sF3)),complement(converse(zero)))),
inference(superposition,[],[f71,f2959]) ).
fof(f2996,plain,
complement(sK0) = join(complement(sK0),composition(sF3,complement(converse(zero)))),
inference(forward_demodulation,[],[f2987,f25]) ).
fof(f3003,plain,
sF3 = join(sF3,composition(sF3,complement(converse(zero)))),
inference(forward_demodulation,[],[f2996,f36]) ).
fof(f3451,plain,
composition(sK1,sK2) = join(sF4,composition(sF10,sK2)),
inference(superposition,[],[f81,f767]) ).
fof(f3496,plain,
composition(sK1,sK2) = join(sF4,sF11),
inference(forward_demodulation,[],[f3451,f52]) ).
fof(f3505,plain,
sF4 = join(sF4,sF11),
inference(forward_demodulation,[],[f3496,f38]) ).
fof(f3593,plain,
! [X0,X1] : join(sK0,X1) = join(sK0,join(composition(sK0,X0),X1)),
inference(superposition,[],[f19,f1050]) ).
fof(f3598,plain,
! [X0,X1] : join(X0,sK0) = join(sK0,join(X0,composition(sK0,X1))),
inference(superposition,[],[f611,f1050]) ).
fof(f4713,plain,
! [X2,X3,X0,X1] : join(composition(X0,join(X3,X2)),composition(X1,X2)) = join(composition(X0,X3),composition(join(X0,X1),X2)),
inference(superposition,[],[f318,f24]) ).
fof(f5582,plain,
! [X0] : join(sF12,X0) = join(sF7,join(X0,sF11)),
inference(superposition,[],[f163,f18]) ).
fof(f5704,plain,
join(sF7,sF4) = join(sF12,sF4),
inference(superposition,[],[f5582,f3505]) ).
fof(f5757,plain,
join(sF7,sF4) = join(sF4,sF12),
inference(forward_demodulation,[],[f5704,f18]) ).
fof(f5775,plain,
join(sF4,sF7) = join(sF4,sF12),
inference(forward_demodulation,[],[f5757,f18]) ).
fof(f5785,plain,
sF4 = join(sF4,sF12),
inference(forward_demodulation,[],[f5775,f766]) ).
fof(f5999,plain,
! [X0] : converse(converse(X0)) = join(converse(zero),X0),
inference(superposition,[],[f78,f765]) ).
fof(f6016,plain,
! [X0] : join(converse(zero),X0) = X0,
inference(forward_demodulation,[],[f5999,f25]) ).
fof(f6795,plain,
zero = converse(zero),
inference(superposition,[],[f519,f6016]) ).
fof(f6806,plain,
sF3 = join(sF3,composition(sF3,complement(zero))),
inference(backward_demodulation,[],[f3003,f6795]) ).
fof(f6876,plain,
sF3 = join(sF3,composition(sF3,top)),
inference(forward_demodulation,[],[f6806,f664]) ).
fof(f6909,plain,
sF3 = composition(sF3,top),
inference(forward_demodulation,[],[f6876,f2644]) ).
fof(f7001,plain,
! [X0,X1] : join(composition(sF3,join(X0,top)),X1) = join(composition(sF3,X0),join(sF3,X1)),
inference(superposition,[],[f318,f6909]) ).
fof(f7004,plain,
! [X0,X1] : join(composition(sF3,join(X0,top)),X1) = join(sF3,join(X1,composition(sF3,X0))),
inference(forward_demodulation,[],[f7001,f169]) ).
fof(f7010,plain,
! [X0,X1] : join(composition(sF3,top),X1) = join(sF3,join(X1,composition(sF3,X0))),
inference(forward_demodulation,[],[f7004,f1045]) ).
fof(f7015,plain,
! [X0,X1] : join(sF3,X1) = join(sF3,join(X1,composition(sF3,X0))),
inference(forward_demodulation,[],[f7010,f6909]) ).
fof(f7042,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(join(X0,X2),complement(X1))) = join(composition(X0,top),composition(X2,complement(X1))),
inference(superposition,[],[f4713,f29]) ).
fof(f7748,plain,
! [X0] : join(composition(sK0,top),composition(sF10,complement(X0))) = join(composition(sK0,X0),composition(sK0,complement(X0))),
inference(superposition,[],[f7042,f721]) ).
fof(f7843,plain,
! [X0] : join(composition(sK0,top),composition(sF10,complement(X0))) = composition(sK0,join(X0,complement(X0))),
inference(forward_demodulation,[],[f7748,f282]) ).
fof(f7909,plain,
! [X0] : composition(sK0,top) = join(composition(sK0,top),composition(sF10,complement(X0))),
inference(forward_demodulation,[],[f7843,f29]) ).
fof(f7947,plain,
! [X0] : sK0 = join(sK0,composition(sF10,complement(X0))),
inference(forward_demodulation,[],[f7909,f74]) ).
fof(f8672,plain,
! [X0] : sK0 = join(sK0,composition(sF10,X0)),
inference(superposition,[],[f7947,f659]) ).
fof(f8733,plain,
complement(sF12) = join(complement(sF12),complement(sF4)),
inference(superposition,[],[f698,f5785]) ).
fof(f8749,plain,
complement(sF12) = join(complement(sF4),complement(sF12)),
inference(forward_demodulation,[],[f8733,f18]) ).
fof(f8755,plain,
complement(sF12) = join(sF5,complement(sF12)),
inference(forward_demodulation,[],[f8749,f40]) ).
fof(f12703,plain,
join(sF6,complement(sF12)) = join(sF3,complement(sF12)),
inference(superposition,[],[f162,f8755]) ).
fof(f12740,plain,
sF6 = join(sF3,complement(sF12)),
inference(forward_demodulation,[],[f12703,f712]) ).
fof(f19082,plain,
join(sF11,composition(sF3,sK2)) = composition(join(sK1,sF3),sK2),
inference(superposition,[],[f87,f2904]) ).
fof(f19142,plain,
join(sF11,composition(sF3,sK2)) = join(sF4,composition(sF3,sK2)),
inference(forward_demodulation,[],[f19082,f81]) ).
fof(f19299,plain,
! [X0,X1] : join(sK0,composition(X0,X1)) = join(sK0,composition(join(sK0,X0),X1)),
inference(superposition,[],[f3593,f24]) ).
fof(f19484,plain,
join(sK0,composition(sF10,sK2)) = join(sK0,join(sF11,composition(sK0,sK2))),
inference(superposition,[],[f19299,f87]) ).
fof(f19537,plain,
join(sK0,composition(sF10,sK2)) = join(sF11,sK0),
inference(forward_demodulation,[],[f19484,f3598]) ).
fof(f19566,plain,
join(sK0,composition(sF10,sK2)) = join(sK0,sF11),
inference(forward_demodulation,[],[f19537,f18]) ).
fof(f19580,plain,
sK0 = join(sK0,sF11),
inference(forward_demodulation,[],[f19566,f8672]) ).
fof(f19591,plain,
join(sF7,sK0) = join(sK0,sF12),
inference(superposition,[],[f912,f19580]) ).
fof(f19611,plain,
complement(sF11) = join(complement(sK0),complement(join(complement(sK0),sF11))),
inference(superposition,[],[f2270,f19580]) ).
fof(f19619,plain,
complement(sF11) = join(complement(sK0),complement(sF11)),
inference(forward_demodulation,[],[f19611,f1071]) ).
fof(f19629,plain,
join(sK0,sF7) = join(sK0,sF12),
inference(forward_demodulation,[],[f19591,f18]) ).
fof(f19633,plain,
complement(sF11) = join(sF3,complement(sF11)),
inference(forward_demodulation,[],[f19619,f36]) ).
fof(f19639,plain,
sK0 = join(sK0,sF12),
inference(forward_demodulation,[],[f19629,f720]) ).
fof(f19733,plain,
complement(sF12) = join(complement(sK0),complement(join(complement(sK0),sF12))),
inference(superposition,[],[f2270,f19639]) ).
fof(f19741,plain,
complement(sF12) = join(complement(sK0),complement(sF12)),
inference(forward_demodulation,[],[f19733,f1071]) ).
fof(f19753,plain,
complement(sF12) = join(sF3,complement(sF12)),
inference(forward_demodulation,[],[f19741,f36]) ).
fof(f19759,plain,
sF6 = complement(sF12),
inference(forward_demodulation,[],[f19753,f12740]) ).
fof(f19798,plain,
complement(sF6) = sF12,
inference(superposition,[],[f659,f19759]) ).
fof(f19814,plain,
sF7 = sF12,
inference(forward_demodulation,[],[f19798,f44]) ).
fof(f19817,plain,
spl15_2,
inference(avatar_split_clause,[],[f19814,f66]) ).
fof(f19820,plain,
( sF7 != sF11
| spl15_1
| ~ spl15_2 ),
inference(backward_demodulation,[],[f76,f67]) ).
fof(f27137,plain,
join(sF3,sF11) = join(sF3,join(sF4,composition(sF3,sK2))),
inference(superposition,[],[f7015,f19142]) ).
fof(f27232,plain,
join(sF3,sF4) = join(sF3,sF11),
inference(forward_demodulation,[],[f27137,f7015]) ).
fof(f27297,plain,
join(sF3,complement(join(sF3,sF4))) = join(sF3,complement(sF11)),
inference(superposition,[],[f1071,f27232]) ).
fof(f27320,plain,
complement(sF11) = join(sF3,complement(join(sF3,sF4))),
inference(forward_demodulation,[],[f27297,f19633]) ).
fof(f27341,plain,
complement(sF11) = join(sF3,complement(sF4)),
inference(forward_demodulation,[],[f27320,f1071]) ).
fof(f27356,plain,
join(sF3,sF5) = complement(sF11),
inference(forward_demodulation,[],[f27341,f40]) ).
fof(f27366,plain,
sF6 = complement(sF11),
inference(forward_demodulation,[],[f27356,f42]) ).
fof(f27501,plain,
complement(sF6) = sF11,
inference(superposition,[],[f659,f27366]) ).
fof(f27518,plain,
sF7 = sF11,
inference(forward_demodulation,[],[f27501,f44]) ).
fof(f27524,plain,
( $false
| spl15_1
| ~ spl15_2 ),
inference(forward_subsumption_resolution,[],[f27518,f19820]) ).
fof(f27525,plain,
( spl15_1
| ~ spl15_2 ),
inference(avatar_contradiction_clause,[],[f27524]) ).
cnf(s1,plain,
( ~ spl15_1
| ~ spl15_2 ),
inference(sat_conversion,[],[f69]) ).
cnf(s2,plain,
spl15_2,
inference(sat_conversion,[],[f19817]) ).
cnf(s3,plain,
( spl15_1
| ~ spl15_2 ),
inference(sat_conversion,[],[f27525]) ).
cnf(s4,plain,
spl15_1,
inference(rat,[],[s3,s2]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s2,s4]) ).
fof(f27526,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL033+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n001.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 23:01:02 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 11.03/2.41 % (4062800)Detected formulas, will run a generic FOF schedule.
% 11.03/2.41 % (4062809)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2408177846:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.03/2.41 % (4062809)Instruction limit reached!
% 11.03/2.41 % (4062809)------------------------------
% 11.03/2.41 % (4062809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.03/2.41 % (4062809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.03/2.41 % (4062809)CaDiCaL version: 2.1.3
% 11.03/2.41 % (4062809)Termination reason: Instruction limit
% 11.03/2.41 % (4062809)Termination phase: Saturation
% 11.03/2.41 % (4062809)Time elapsed: 0.037 s
% 11.03/2.41 % (4062809)Peak memory usage: 89 MB
% 11.03/2.41 % (4062809)Instructions burned: 122 (million)
% 11.03/2.41 % (4062811)dis-21_1_sil=8000:lcm=predicate:random_seed=4290660199: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)
% 11.03/2.41 % (4062811)Refutation not found, incomplete strategy
% 11.03/2.41 % (4062811)------------------------------
% 11.03/2.41 % (4062811)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.03/2.41 % (4062811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.03/2.41 % (4062811)CaDiCaL version: 2.1.3
% 11.03/2.41 % (4062811)Termination reason: Refutation not found, incomplete strategy
% 11.03/2.41 % (4062811)Time elapsed: 0.002 s
% 11.03/2.41 % (4062811)Peak memory usage: 88 MB
% 11.03/2.41 % (4062811)Instructions burned: 1 (million)
% 11.03/2.41 % (4062807)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=1190474464:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.03/2.41 % (4062808)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3162203075:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.03/2.41 % (4062806)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=4017462331:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.03/2.41 % (4062805)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=3736318127:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.03/2.41 % (4062810)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2695452666:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.03/2.41 % (4062808)Instruction limit reached!
% 11.03/2.41 % (4062808)------------------------------
% 11.03/2.41 % (4062808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.03/2.41 % (4062808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.03/2.41 % (4062808)CaDiCaL version: 2.1.3
% 11.03/2.41 % (4062808)Termination reason: Instruction limit
% 11.03/2.41 % (4062808)Termination phase: Saturation
% 11.03/2.41 % (4062808)Time elapsed: 0.067 s
% 11.03/2.41 % (4062808)Peak memory usage: 90 MB
% 11.03/2.41 % (4062808)Instructions burned: 110 (million)
% 11.03/2.41 % (4062814)lrs+10_1_sil=8000:sp=occurrence:random_seed=2150248120:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 11.03/2.41 % (4062810)Instruction limit reached!
% 11.03/2.41 % (4062810)------------------------------
% 11.03/2.41 % (4062810)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.03/2.41 % (4062810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.03/2.41 % (4062810)CaDiCaL version: 2.1.3
% 11.03/2.41 % (4062810)Termination reason: Instruction limit
% 11.03/2.41 % (4062810)Termination phase: Saturation
% 11.03/2.41 % (4062810)Time elapsed: 0.085 s
% 11.03/2.41 % (4062810)Peak memory usage: 90 MB
% 11.03/2.41 % (4062810)Instructions burned: 139 (million)
% 11.03/2.41 % (4062814)Instruction limit reached!
% 11.03/2.41 % (4062814)------------------------------
% 11.03/2.41 % (4062814)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.03/2.41 % (4062814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.03/2.41 % (4062814)CaDiCaL version: 2.1.3
% 11.03/2.41 % (4062814)Termination reason: Instruction limit
% 11.03/2.41 % (4062814)Termination phase: Saturation
% 11.03/2.41 % (4062814)Time elapsed: 0.096 s
% 11.03/2.41 % (4062814)Peak memory usage: 92 MB
% 11.03/2.41 % (4062814)Instructions burned: 287 (million)
% 18.41/3.53 % (4062820)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2387613016:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 18.41/3.53 % (4062822)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1302086520:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 18.41/3.53 % (4062811)------------------------------
% 18.41/3.53 % (4062811)------------------------------
% 18.41/3.53 % (4062823)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=1822592315:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 18.41/3.53 % (4062820)Instruction limit reached!
% 18.41/3.53 % (4062820)------------------------------
% 18.41/3.53 % (4062820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.41/3.53 % (4062820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.41/3.53 % (4062820)CaDiCaL version: 2.1.3
% 18.41/3.53 % (4062820)Termination reason: Instruction limit
% 18.41/3.53 % (4062820)Termination phase: Saturation
% 18.41/3.53 % (4062820)Time elapsed: 0.100 s
% 18.41/3.53 % (4062820)Peak memory usage: 91 MB
% 18.41/3.53 % (4062820)Instructions burned: 157 (million)
% 18.41/3.53 % (4062823)Instruction limit reached!
% 18.41/3.53 % (4062823)------------------------------
% 18.41/3.53 % (4062823)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.41/3.53 % (4062823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.41/3.53 % (4062823)CaDiCaL version: 2.1.3
% 18.41/3.53 % (4062823)Termination reason: Instruction limit
% 18.41/3.53 % (4062823)Termination phase: Saturation
% 18.41/3.53 % (4062823)Time elapsed: 0.085 s
% 18.41/3.53 % (4062823)Peak memory usage: 92 MB
% 18.41/3.53 % (4062823)Instructions burned: 249 (million)
% 18.41/3.53 % (4062826)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1409986714:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 18.41/3.53 % (4062822)Instruction limit reached!
% 18.41/3.53 % (4062822)------------------------------
% 18.41/3.53 % (4062822)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.41/3.53 % (4062822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.41/3.53 % (4062822)CaDiCaL version: 2.1.3
% 18.41/3.53 % (4062822)Termination reason: Instruction limit
% 18.41/3.53 % (4062822)Termination phase: Saturation
% 18.41/3.53 % (4062822)Time elapsed: 0.203 s
% 18.41/3.53 % (4062822)Peak memory usage: 92 MB
% 18.41/3.53 % (4062822)Instructions burned: 325 (million)
% 18.41/3.53 % (4062828)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3774419803:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 18.41/3.53 % (4062829)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3169295970:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 18.41/3.53 % (4062829)Instruction limit reached!
% 18.41/3.53 % (4062829)------------------------------
% 18.41/3.53 % (4062829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.41/3.53 % (4062829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.41/3.53 % (4062829)CaDiCaL version: 2.1.3
% 18.41/3.53 % (4062829)Termination reason: Instruction limit
% 18.41/3.53 % (4062829)Termination phase: Saturation
% 18.41/3.53 % (4062829)Time elapsed: 0.036 s
% 18.41/3.53 % (4062829)Peak memory usage: 90 MB
% 18.41/3.53 % (4062829)Instructions burned: 114 (million)
% 18.41/3.53 % (4062831)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2060068865:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 18.41/3.53 % (4062831)Refutation not found, incomplete strategy
% 18.41/3.53 % (4062831)------------------------------
% 18.41/3.53 % (4062831)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.41/3.53 % (4062831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.41/3.53 % (4062831)CaDiCaL version: 2.1.3
% 18.41/3.53 % (4062831)Termination reason: Refutation not found, incomplete strategy
% 18.41/3.53 % (4062831)Time elapsed: 0.001 s
% 18.41/3.53 % (4062831)Peak memory usage: 88 MB
% 18.41/3.53 % (4062834)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=513450881:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 18.41/3.53 % (4062826)Instruction limit reached!
% 18.41/3.53 % (4062826)------------------------------
% 18.41/3.53 % (4062826)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.52/4.75 % (4062826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.52/4.75 % (4062826)CaDiCaL version: 2.1.3
% 27.52/4.75 % (4062826)Termination reason: Instruction limit
% 27.52/4.75 % (4062826)Termination phase: Saturation
% 27.52/4.75 % (4062826)Time elapsed: 0.184 s
% 27.52/4.75 % (4062826)Peak memory usage: 92 MB
% 27.52/4.75 % (4062826)Instructions burned: 295 (million)
% 27.52/4.75 % (4062834)Instruction limit reached!
% 27.52/4.75 % (4062834)------------------------------
% 27.52/4.75 % (4062834)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.52/4.75 % (4062834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.52/4.75 % (4062834)CaDiCaL version: 2.1.3
% 27.52/4.75 % (4062834)Termination reason: Instruction limit
% 27.52/4.75 % (4062834)Termination phase: Saturation
% 27.52/4.75 % (4062834)Time elapsed: 0.032 s
% 27.52/4.75 % (4062834)Peak memory usage: 88 MB
% 27.52/4.75 % (4062834)Instructions burned: 114 (million)
% 27.52/4.75 % (4062838)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3194996097:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 27.52/4.75 % (4062837)lrs+10_1_sil=8000:sp=occurrence:random_seed=1934089507:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 27.52/4.75 % (4062831)------------------------------
% 27.52/4.75 % (4062831)------------------------------
% 27.52/4.75 % (4062838)Instruction limit reached!
% 27.52/4.75 % (4062838)------------------------------
% 27.52/4.75 % (4062838)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.52/4.75 % (4062838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.52/4.75 % (4062838)CaDiCaL version: 2.1.3
% 27.52/4.75 % (4062838)Termination reason: Instruction limit
% 27.52/4.75 % (4062838)Termination phase: Saturation
% 27.52/4.75 % (4062838)Time elapsed: 0.120 s
% 27.52/4.75 % (4062838)Peak memory usage: 91 MB
% 27.52/4.75 % (4062838)Instructions burned: 441 (million)
% 27.52/4.75 % (4062842)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1567381167:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2990 on theBenchmark for (2990ds/134Mi)
% 27.52/4.75 % (4062842)Refutation not found, incomplete strategy
% 27.52/4.75 % (4062842)------------------------------
% 27.52/4.75 % (4062842)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.52/4.75 % (4062842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.52/4.75 % (4062842)CaDiCaL version: 2.1.3
% 27.52/4.75 % (4062842)Termination reason: Refutation not found, incomplete strategy
% 27.52/4.75 % (4062842)Time elapsed: 0.001 s
% 27.52/4.75 % (4062842)Peak memory usage: 89 MB
% 27.52/4.75 % (4062842)Instructions burned: 1 (million)
% 27.52/4.75 % (4062841)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=216747321:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 27.52/4.75 % (4062842)------------------------------
% 27.52/4.75 % (4062842)------------------------------
% 27.52/4.75 % (4062845)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1300953494:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 27.52/4.75 % (4062837)Instruction limit reached!
% 27.52/4.75 % (4062837)------------------------------
% 27.52/4.75 % (4062837)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.52/4.75 % (4062837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.52/4.75 % (4062837)CaDiCaL version: 2.1.3
% 27.52/4.75 % (4062837)Termination reason: Instruction limit
% 27.52/4.75 % (4062837)Termination phase: Saturation
% 27.52/4.75 % (4062837)Time elapsed: 0.540 s
% 27.52/4.75 % (4062837)Peak memory usage: 97 MB
% 27.52/4.75 % (4062837)Instructions burned: 907 (million)
% 27.52/4.75 % (4062845)Instruction limit reached!
% 27.52/4.75 % (4062845)------------------------------
% 27.52/4.75 % (4062845)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.52/4.75 % (4062845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.52/4.75 % (4062845)CaDiCaL version: 2.1.3
% 27.52/4.75 % (4062845)Termination reason: Instruction limit
% 27.52/4.75 % (4062845)Termination phase: Saturation
% 27.52/4.75 % (4062845)Time elapsed: 0.181 s
% 27.52/4.75 % (4062845)Peak memory usage: 95 MB
% 27.52/4.75 % (4062845)Instructions burned: 595 (million)
% 27.52/4.75 % (4062847)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3948903533:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 27.52/4.75 % (4062849)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3599432530:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2985 on theBenchmark for (2985ds/125Mi)
% 13.72/6.52 % (4062849)Instruction limit reached!
% 13.72/6.52 % (4062849)------------------------------
% 13.72/6.52 % (4062849)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.72/6.52 % (4062849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.72/6.52 % (4062849)CaDiCaL version: 2.1.3
% 13.72/6.52 % (4062849)Termination reason: Instruction limit
% 13.72/6.52 % (4062849)Termination phase: Saturation
% 13.72/6.52 % (4062849)Time elapsed: 0.048 s
% 13.72/6.52 % (4062849)Peak memory usage: 91 MB
% 13.72/6.52 % (4062849)Instructions burned: 127 (million)
% 13.72/6.52 % (4062852)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=4079543608:i=134:gtgl=5:slsql=off:gtg=exists_sym_2984 on theBenchmark for (2984ds/134Mi)
% 13.72/6.52 % (4062852)Instruction limit reached!
% 13.72/6.52 % (4062852)------------------------------
% 13.72/6.52 % (4062852)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.72/6.52 % (4062852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.72/6.52 % (4062852)CaDiCaL version: 2.1.3
% 13.72/6.52 % (4062852)Termination reason: Instruction limit
% 13.72/6.52 % (4062852)Termination phase: Saturation
% 13.72/6.52 % (4062852)Time elapsed: 0.072 s
% 13.72/6.52 % (4062852)Peak memory usage: 89 MB
% 13.72/6.52 % (4062852)Instructions burned: 135 (million)
% 13.72/6.52 % (4062854)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3948232462:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/141Mi)
% 13.72/6.52 % (4062854)Refutation not found, incomplete strategy
% 13.72/6.52 % (4062854)------------------------------
% 13.72/6.52 % (4062854)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.72/6.52 % (4062854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.72/6.52 % (4062854)CaDiCaL version: 2.1.3
% 13.72/6.52 % (4062854)Termination reason: Refutation not found, incomplete strategy
% 13.72/6.52 % (4062854)Time elapsed: 0.001 s
% 13.72/6.52 % (4062854)Peak memory usage: 88 MB
% 13.72/6.52 % (4062828)Instruction limit reached!
% 13.72/6.52 % (4062828)------------------------------
% 13.72/6.52 % (4062828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.72/6.52 % (4062828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.72/6.52 % (4062828)CaDiCaL version: 2.1.3
% 13.72/6.52 % (4062828)Termination reason: Instruction limit
% 13.72/6.52 % (4062828)Termination phase: Saturation
% 13.72/6.52 % (4062828)Time elapsed: 1.476 s
% 13.72/6.52 % (4062828)Peak memory usage: 141 MB
% 13.72/6.52 % (4062828)Instructions burned: 2350 (million)
% 13.72/6.52 % (4062854)------------------------------
% 13.72/6.52 % (4062854)------------------------------
% 13.72/6.52 % (4062856)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2498408890:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2979 on theBenchmark for (2979ds/431Mi)
% 13.72/6.52 % (4062856)Refutation not found, incomplete strategy
% 13.72/6.52 % (4062856)------------------------------
% 13.72/6.52 % (4062856)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.72/6.52 % (4062856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.72/6.52 % (4062856)CaDiCaL version: 2.1.3
% 13.72/6.52 % (4062856)Termination reason: Refutation not found, incomplete strategy
% 13.72/6.52 % (4062856)Time elapsed: 0.001 s
% 13.72/6.52 % (4062856)Peak memory usage: 88 MB
% 13.72/6.52 % (4062856)Instructions burned: 1 (million)
% 13.72/6.52 % (4062857)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=3934216881:i=6060:aac=none:ins=25_2978 on theBenchmark for (2978ds/6060Mi)
% 13.72/6.52 % (4062856)------------------------------
% 13.72/6.52 % (4062856)------------------------------
% 13.72/6.52 % (4062860)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=3529582276:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2975 on theBenchmark for (2975ds/150Mi)
% 13.72/6.52 % (4062860)Instruction limit reached!
% 13.72/6.52 % (4062860)------------------------------
% 13.72/6.52 % (4062860)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.72/6.52 % (4062860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.72/6.52 % (4062860)CaDiCaL version: 2.1.3
% 13.72/6.52 % (4062860)Termination reason: Instruction limit
% 13.72/6.52 % (4062860)Termination phase: Saturation
% 13.72/6.52 % (4062860)Time elapsed: 0.095 s
% 13.72/6.52 % (4062860)Peak memory usage: 90 MB
% 13.72/6.52 % (4062860)Instructions burned: 151 (million)
% 13.72/6.52 % (4062862)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1314993803:i=14155:bd=all_2973 on theBenchmark for (2973ds/14155Mi)
% 13.72/6.52 % (4062841)Instruction limit reached!
% 13.72/6.52 % (4062841)------------------------------
% 13.72/6.52 % (4062841)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.72/6.52 % (4062841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.72/6.52 % (4062841)CaDiCaL version: 2.1.3
% 13.72/6.52 % (4062841)Termination reason: Instruction limit
% 13.72/6.52 % (4062841)Termination phase: Saturation
% 13.72/6.52 % (4062841)Time elapsed: 1.961 s
% 13.72/6.52 % (4062841)Peak memory usage: 160 MB
% 13.72/6.52 % (4062841)Instructions burned: 5202 (million)
% 13.72/6.52 % (4062864)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=2909090238:i=667:av=off:fsr=off_2969 on theBenchmark for (2969ds/667Mi)
% 13.72/6.52 % (4062864)Instruction limit reached!
% 13.72/6.52 % (4062864)------------------------------
% 13.72/6.52 % (4062864)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.72/6.52 % (4062864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.72/6.52 % (4062864)CaDiCaL version: 2.1.3
% 13.72/6.52 % (4062864)Termination reason: Instruction limit
% 13.72/6.52 % (4062864)Termination phase: Saturation
% 13.72/6.52 % (4062864)Time elapsed: 0.142 s
% 13.72/6.52 % (4062864)Peak memory usage: 89 MB
% 13.72/6.52 % (4062864)Instructions burned: 670 (million)
% 13.72/6.52 % (4062866)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=479890901:s2a=on:i=185:s2at=1.8:fdi=4_2967 on theBenchmark for (2967ds/185Mi)
% 13.72/6.52 % (4062866)Instruction limit reached!
% 13.72/6.52 % (4062866)------------------------------
% 13.72/6.52 % (4062866)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.72/6.52 % (4062866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.72/6.52 % (4062866)CaDiCaL version: 2.1.3
% 13.72/6.52 % (4062866)Termination reason: Instruction limit
% 13.72/6.52 % (4062866)Termination phase: Saturation
% 13.72/6.52 % (4062866)Time elapsed: 0.058 s
% 13.72/6.52 % (4062866)Peak memory usage: 90 MB
% 13.72/6.52 % (4062866)Instructions burned: 186 (million)
% 13.72/6.52 % (4062868)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=2295692909:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2965 on theBenchmark for (2965ds/193Mi)
% 13.72/6.52 % (4062868)Instruction limit reached!
% 13.72/6.52 % (4062868)------------------------------
% 13.72/6.52 % (4062868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.72/6.52 % (4062868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.72/6.52 % (4062868)CaDiCaL version: 2.1.3
% 13.72/6.52 % (4062868)Termination reason: Instruction limit
% 13.72/6.52 % (4062868)Termination phase: Saturation
% 13.72/6.52 % (4062868)Time elapsed: 0.057 s
% 13.72/6.52 % (4062868)Peak memory usage: 90 MB
% 13.72/6.52 % (4062868)Instructions burned: 195 (million)
% 13.72/6.52 % (4062870)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=1755858038:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2964 on theBenchmark for (2964ds/4850Mi)
% 13.72/6.52 % (4062870)Refutation not found, incomplete strategy
% 13.72/6.52 % (4062870)------------------------------
% 13.72/6.52 % (4062870)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.72/6.52 % (4062870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.72/6.52 % (4062870)CaDiCaL version: 2.1.3
% 13.72/6.52 % (4062870)Termination reason: Refutation not found, incomplete strategy
% 13.72/6.52 % (4062870)Time elapsed: 0.0000 s
% 13.72/6.52 % (4062870)Peak memory usage: 88 MB
% 13.72/6.52 % (4062870)------------------------------
% 13.72/6.52 % (4062870)------------------------------
% 13.72/6.52 % (4062872)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=2655790157:i=12111:sd=1:ss=included_2961 on theBenchmark for (2961ds/12111Mi)
% 13.72/6.52 % (4062862)First to succeed.
% 13.72/6.52 % (4062862)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4062800"
% 13.72/6.52 % (4062862)Refutation found. Thanks to Tanya!
% 13.72/6.52 % SZS status Theorem for theBenchmark
% 13.72/6.52 % SZS output start Proof for theBenchmark
% See solution above
% 40.67/6.71 % (4062862)------------------------------
% 40.67/6.71 % (4062862)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.67/6.71 % (4062862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.67/6.71 % (4062862)CaDiCaL version: 2.1.3
% 40.67/6.71 % (4062862)Termination reason: Refutation
% 40.67/6.71 % (4062862)Time elapsed: 2.581 s
% 40.67/6.71 % (4062862)Peak memory usage: 160 MB
% 40.67/6.71 % (4062862)Instructions burned: 4131 (million)
% 40.67/6.71 % (4062862)------------------------------
% 40.67/6.71 % (4062862)------------------------------
% 40.67/6.71 % (4062800)Success in time 5.651 s
% 40.67/6.71 % Vampire exiting
%------------------------------------------------------------------------------