%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL038+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:34:02 PM UTC 2026
% Result : Theorem 31.90s 5.38s
% Output : Refutation 32.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 58
% Number of leaves : 29
% Syntax : Number of formulae : 280 ( 280 unt; 16 def)
% Number of atoms : 280 ( 279 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 22 con; 0-2 aty)
% Number of variables : 213 ( 210 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux1_join_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux2_join_associativity) ).
fof(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan) ).
fof(f4,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_identity) ).
fof(f7,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_distributivity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_multiplicativity) ).
fof(f11,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_top) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_zero) ).
fof(f14,conjecture,
! [X0,X1,X2] : join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)) = meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0,X1,X2] : join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)) = meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
? [X0,X1,X2] : meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2) != join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
meet(composition(sK0,meet(sK1,composition(converse(sK0),sK2))),sK2) != join(meet(composition(sK0,sK1),sK2),meet(composition(sK0,meet(sK1,composition(converse(sK0),sK2))),sK2)),
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,
meet(composition(sK0,meet(sK1,composition(converse(sK0),sK2))),sK2) != join(meet(composition(sK0,sK1),sK2),meet(composition(sK0,meet(sK1,composition(converse(sK0),sK2))),sK2)),
inference(cnf_transformation,[],[f17]) ).
fof(f32,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f30,f21]) ).
fof(f33,plain,
complement(join(complement(composition(sK0,complement(join(complement(sK1),complement(composition(converse(sK0),sK2)))))),complement(sK2))) != join(complement(join(complement(composition(sK0,sK1)),complement(sK2))),complement(join(complement(composition(sK0,complement(join(complement(sK1),complement(composition(converse(sK0),sK2)))))),complement(sK2)))),
inference(definition_unfolding,[],[f31,f21,f21,f21,f21,f21]) ).
fof(f34,definition,
sF3 = complement(sK1),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f35,plain,
complement(sK1) = sF3,
inference(reorient_equations,[],[f34]) ).
fof(f36,definition,
sF4 = converse(sK0),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f37,plain,
converse(sK0) = sF4,
inference(reorient_equations,[],[f36]) ).
fof(f38,definition,
sF5 = composition(sF4,sK2),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f39,plain,
composition(sF4,sK2) = sF5,
inference(reorient_equations,[],[f38]) ).
fof(f40,definition,
sF6 = complement(sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f41,plain,
complement(sF5) = sF6,
inference(reorient_equations,[],[f40]) ).
fof(f42,definition,
sF7 = join(sF3,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f43,plain,
join(sF3,sF6) = sF7,
inference(reorient_equations,[],[f42]) ).
fof(f44,definition,
sF8 = complement(sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f45,plain,
complement(sF7) = sF8,
inference(reorient_equations,[],[f44]) ).
fof(f46,definition,
sF9 = composition(sK0,sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f47,plain,
composition(sK0,sF8) = sF9,
inference(reorient_equations,[],[f46]) ).
fof(f48,definition,
sF10 = complement(sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f49,plain,
complement(sF9) = sF10,
inference(reorient_equations,[],[f48]) ).
fof(f50,definition,
sF11 = complement(sK2),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f51,plain,
complement(sK2) = sF11,
inference(reorient_equations,[],[f50]) ).
fof(f52,definition,
sF12 = join(sF10,sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f53,plain,
join(sF10,sF11) = sF12,
inference(reorient_equations,[],[f52]) ).
fof(f54,definition,
sF13 = complement(sF12),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f55,plain,
complement(sF12) = sF13,
inference(reorient_equations,[],[f54]) ).
fof(f56,definition,
sF14 = composition(sK0,sK1),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f57,plain,
composition(sK0,sK1) = sF14,
inference(reorient_equations,[],[f56]) ).
fof(f58,definition,
sF15 = complement(sF14),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f59,plain,
complement(sF14) = sF15,
inference(reorient_equations,[],[f58]) ).
fof(f60,definition,
sF16 = join(sF15,sF11),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f61,plain,
join(sF15,sF11) = sF16,
inference(reorient_equations,[],[f60]) ).
fof(f62,definition,
sF17 = complement(sF16),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f63,plain,
complement(sF16) = sF17,
inference(reorient_equations,[],[f62]) ).
fof(f64,definition,
sF18 = join(sF17,sF13),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f65,plain,
join(sF17,sF13) = sF18,
inference(reorient_equations,[],[f64]) ).
fof(f66,plain,
sF13 != sF18,
inference(definition_folding,[],[f33,f65,f55,f53,f51,f49,f47,f45,f43,f41,f39,f37,f35,f63,f61,f51,f59,f57,f55,f53,f51,f49,f47,f45,f43,f41,f39,f37,f35]) ).
fof(f67,plain,
zero = complement(top),
inference(backward_demodulation,[],[f32,f29]) ).
fof(f68,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(backward_demodulation,[],[f28,f18]) ).
fof(f69,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(backward_demodulation,[],[f20,f18]) ).
fof(f70,plain,
sF16 = join(sF11,sF15),
inference(forward_demodulation,[],[f61,f18]) ).
fof(f71,plain,
sF18 = join(sF13,sF17),
inference(forward_demodulation,[],[f65,f18]) ).
fof(f75,plain,
sK0 = converse(sF4),
inference(superposition,[],[f25,f37]) ).
fof(f77,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f26,f25]) ).
fof(f98,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f27,f25]) ).
fof(f100,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(f104,plain,
! [X0] : sK1 = join(complement(join(sF3,X0)),complement(join(sF3,complement(X0)))),
inference(superposition,[],[f69,f35]) ).
fof(f105,plain,
! [X0] : sK2 = join(complement(join(sF11,X0)),complement(join(sF11,complement(X0)))),
inference(superposition,[],[f69,f51]) ).
fof(f108,plain,
! [X0] : sF9 = join(complement(join(sF10,X0)),complement(join(sF10,complement(X0)))),
inference(superposition,[],[f69,f49]) ).
fof(f109,plain,
! [X0] : sF12 = join(complement(join(sF13,X0)),complement(join(sF13,complement(X0)))),
inference(superposition,[],[f69,f55]) ).
fof(f110,plain,
! [X0] : sF14 = join(complement(join(sF15,X0)),complement(join(sF15,complement(X0)))),
inference(superposition,[],[f69,f59]) ).
fof(f111,plain,
! [X0] : sF16 = join(complement(join(sF17,X0)),complement(join(sF17,complement(X0)))),
inference(superposition,[],[f69,f63]) ).
fof(f120,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1)))),complement(X0)),
inference(superposition,[],[f69,f69]) ).
fof(f123,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,[],[f120,f18]) ).
fof(f167,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X1,join(X0,X2)),
inference(superposition,[],[f19,f18]) ).
fof(f169,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(complement(join(complement(X0),complement(X1))),X2)),
inference(superposition,[],[f19,f69]) ).
fof(f173,plain,
! [X0] : join(sF10,join(sF11,X0)) = join(sF12,X0),
inference(superposition,[],[f19,f53]) ).
fof(f175,plain,
! [X0] : join(sF13,join(sF17,X0)) = join(sF18,X0),
inference(superposition,[],[f19,f71]) ).
fof(f179,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f18,f19]) ).
fof(f180,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,[],[f123,f179]) ).
fof(f182,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,[],[f180,f18]) ).
fof(f209,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(complement(X1))))) = join(complement(join(complement(X0),X1)),X0),
inference(superposition,[],[f169,f69]) ).
fof(f217,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(complement(X1))))) = join(X0,complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f209,f18]) ).
fof(f273,plain,
! [X0,X1] : join(X0,X1) = join(complement(join(complement(X0),complement(X0))),join(complement(top),X1)),
inference(superposition,[],[f169,f29]) ).
fof(f282,plain,
! [X0,X1] : join(X0,X1) = join(complement(top),join(X1,complement(join(complement(X0),complement(X0))))),
inference(forward_demodulation,[],[f273,f179]) ).
fof(f284,plain,
! [X0,X1] : join(X0,X1) = join(zero,join(X1,complement(join(complement(X0),complement(X0))))),
inference(forward_demodulation,[],[f282,f67]) ).
fof(f300,plain,
complement(sK2) = join(complement(sK2),composition(converse(sF4),complement(sF5))),
inference(superposition,[],[f68,f39]) ).
fof(f306,plain,
complement(sK2) = join(complement(sK2),composition(converse(sF4),sF6)),
inference(forward_demodulation,[],[f300,f41]) ).
fof(f310,plain,
complement(sK2) = join(complement(sK2),composition(sK0,sF6)),
inference(forward_demodulation,[],[f306,f75]) ).
fof(f313,plain,
sF11 = join(sF11,composition(sK0,sF6)),
inference(forward_demodulation,[],[f310,f51]) ).
fof(f332,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f98,f23]) ).
fof(f342,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f332,f25]) ).
fof(f351,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(one,X0))),
inference(superposition,[],[f68,f342]) ).
fof(f357,plain,
one = converse(one),
inference(superposition,[],[f23,f342]) ).
fof(f358,plain,
! [X0] : composition(one,X0) = X0,
inference(backward_demodulation,[],[f342,f357]) ).
fof(f363,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(backward_demodulation,[],[f351,f358]) ).
fof(f366,plain,
! [X0,X1] : join(X0,X1) = join(zero,join(X1,complement(complement(X0)))),
inference(backward_demodulation,[],[f284,f363]) ).
fof(f390,plain,
! [X0,X1] : join(X0,X1) = join(complement(join(complement(X0),X0)),join(complement(complement(X0)),X1)),
inference(superposition,[],[f169,f363]) ).
fof(f394,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,[],[f169,f363]) ).
fof(f396,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f394,f69]) ).
fof(f400,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(X1,complement(join(complement(X0),X0)))),
inference(forward_demodulation,[],[f390,f179]) ).
fof(f401,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(backward_demodulation,[],[f217,f396]) ).
fof(f405,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(X1,complement(join(X0,complement(X0))))),
inference(forward_demodulation,[],[f400,f18]) ).
fof(f409,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(X1,complement(top))),
inference(forward_demodulation,[],[f405,f29]) ).
fof(f411,plain,
! [X0,X1] : join(X0,X1) = join(complement(top),join(complement(complement(X0)),X1)),
inference(forward_demodulation,[],[f409,f179]) ).
fof(f413,plain,
! [X0,X1] : join(X0,X1) = join(zero,join(complement(complement(X0)),X1)),
inference(forward_demodulation,[],[f411,f67]) ).
fof(f424,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(join(complement(X0),X2),complement(join(X0,X1))),
inference(superposition,[],[f401,f169]) ).
fof(f430,plain,
! [X0] : join(X0,complement(complement(X0))) = X0,
inference(superposition,[],[f401,f401]) ).
fof(f446,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(complement(X0),join(X2,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f424,f19]) ).
fof(f460,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(complement(complement(X0)),X1)),
inference(superposition,[],[f19,f430]) ).
fof(f462,plain,
! [X0,X1] : join(X0,X1) = join(complement(join(complement(X0),complement(complement(X0)))),join(complement(complement(X0)),X1)),
inference(superposition,[],[f169,f430]) ).
fof(f470,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(X1,complement(join(complement(X0),complement(complement(X0)))))),
inference(forward_demodulation,[],[f462,f179]) ).
fof(f472,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),X1),
inference(forward_demodulation,[],[f470,f446]) ).
fof(f474,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(backward_demodulation,[],[f460,f472]) ).
fof(f477,plain,
! [X0,X1] : join(X0,X1) = join(zero,join(X0,X1)),
inference(backward_demodulation,[],[f413,f472]) ).
fof(f487,plain,
! [X0,X1] : join(X0,X1) = join(X1,complement(complement(X0))),
inference(backward_demodulation,[],[f366,f477]) ).
fof(f525,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X1,join(X2,complement(complement(X0)))),
inference(superposition,[],[f19,f487]) ).
fof(f537,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(forward_demodulation,[],[f525,f487]) ).
fof(f573,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(superposition,[],[f401,f472]) ).
fof(f575,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(complement(X0)),complement(X1)))),
inference(superposition,[],[f69,f472]) ).
fof(f583,plain,
! [X0,X1] : complement(complement(X0)) = join(X0,complement(join(complement(complement(complement(X0))),X1))),
inference(superposition,[],[f401,f472]) ).
fof(f586,plain,
! [X0,X1] : complement(complement(X0)) = join(X0,complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f583,f472]) ).
fof(f591,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(X0,complement(X1)))),
inference(forward_demodulation,[],[f575,f472]) ).
fof(f597,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f586,f401]) ).
fof(f603,plain,
sK1 = complement(sF3),
inference(backward_demodulation,[],[f104,f591]) ).
fof(f606,plain,
sF9 = complement(sF10),
inference(backward_demodulation,[],[f108,f591]) ).
fof(f607,plain,
sK2 = complement(sF11),
inference(backward_demodulation,[],[f105,f591]) ).
fof(f608,plain,
sF12 = complement(sF13),
inference(backward_demodulation,[],[f109,f591]) ).
fof(f609,plain,
sF14 = complement(sF15),
inference(backward_demodulation,[],[f110,f591]) ).
fof(f610,plain,
sF16 = complement(sF17),
inference(backward_demodulation,[],[f111,f591]) ).
fof(f647,plain,
! [X0,X1] : complement(X1) = join(complement(X1),complement(join(X0,X1))),
inference(superposition,[],[f573,f18]) ).
fof(f655,plain,
complement(sF3) = join(complement(sF3),complement(sF7)),
inference(superposition,[],[f573,f43]) ).
fof(f657,plain,
complement(sF11) = join(complement(sF11),complement(sF16)),
inference(superposition,[],[f573,f70]) ).
fof(f663,plain,
complement(sF11) = join(complement(sF11),sF17),
inference(forward_demodulation,[],[f657,f63]) ).
fof(f665,plain,
complement(sF3) = join(complement(sF3),sF8),
inference(forward_demodulation,[],[f655,f45]) ).
fof(f667,plain,
complement(sF11) = join(sF17,complement(sF11)),
inference(forward_demodulation,[],[f663,f18]) ).
fof(f669,plain,
complement(sF3) = join(sF8,complement(sF3)),
inference(forward_demodulation,[],[f665,f18]) ).
fof(f670,plain,
sK2 = join(sF17,sK2),
inference(forward_demodulation,[],[f667,f607]) ).
fof(f672,plain,
sK1 = join(sF8,sK1),
inference(forward_demodulation,[],[f669,f603]) ).
fof(f673,plain,
sK2 = join(sK2,sF17),
inference(forward_demodulation,[],[f670,f18]) ).
fof(f675,plain,
sK1 = join(sK1,sF8),
inference(forward_demodulation,[],[f672,f18]) ).
fof(f682,plain,
! [X0] : sF13 = join(sF13,complement(join(X0,sF12))),
inference(superposition,[],[f647,f55]) ).
fof(f696,plain,
complement(sF11) = join(complement(sF11),complement(sF12)),
inference(superposition,[],[f647,f53]) ).
fof(f697,plain,
complement(sF15) = join(complement(sF15),complement(sF16)),
inference(superposition,[],[f647,f70]) ).
fof(f704,plain,
complement(sF15) = join(complement(sF15),sF17),
inference(forward_demodulation,[],[f697,f63]) ).
fof(f705,plain,
complement(sF11) = join(complement(sF11),sF13),
inference(forward_demodulation,[],[f696,f55]) ).
fof(f712,plain,
complement(sF15) = join(sF17,complement(sF15)),
inference(forward_demodulation,[],[f704,f18]) ).
fof(f713,plain,
complement(sF11) = join(sF13,complement(sF11)),
inference(forward_demodulation,[],[f705,f18]) ).
fof(f720,plain,
sF14 = join(sF17,sF14),
inference(forward_demodulation,[],[f712,f609]) ).
fof(f721,plain,
sK2 = join(sF13,sK2),
inference(forward_demodulation,[],[f713,f607]) ).
fof(f726,plain,
sF14 = join(sF14,sF17),
inference(forward_demodulation,[],[f720,f18]) ).
fof(f727,plain,
sK2 = join(sK2,sF13),
inference(forward_demodulation,[],[f721,f18]) ).
fof(f786,plain,
complement(sF17) = join(complement(sF17),complement(sK2)),
inference(superposition,[],[f647,f673]) ).
fof(f789,plain,
complement(sF17) = join(complement(sK2),complement(sF17)),
inference(forward_demodulation,[],[f786,f18]) ).
fof(f790,plain,
sF16 = join(complement(sK2),sF16),
inference(forward_demodulation,[],[f789,f610]) ).
fof(f791,plain,
sF16 = join(sF16,complement(sK2)),
inference(forward_demodulation,[],[f790,f18]) ).
fof(f792,plain,
sF16 = join(sF16,sF11),
inference(forward_demodulation,[],[f791,f51]) ).
fof(f793,plain,
sF16 = join(sF11,sF16),
inference(forward_demodulation,[],[f792,f18]) ).
fof(f885,plain,
! [X2,X0,X1] : join(X1,complement(X0)) = join(complement(X0),join(X1,complement(join(X2,X0)))),
inference(superposition,[],[f537,f647]) ).
fof(f928,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),complement(join(complement(X0),complement(X1)))),
inference(backward_demodulation,[],[f182,f885]) ).
fof(f941,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(X0,complement(X1)))),
inference(superposition,[],[f928,f597]) ).
fof(f1074,plain,
! [X0,X1] : join(X1,complement(X0)) = join(X1,complement(join(X1,X0))),
inference(superposition,[],[f941,f597]) ).
fof(f1096,plain,
! [X0,X1] : join(X1,X0) = join(X1,complement(join(complement(X0),X1))),
inference(superposition,[],[f941,f18]) ).
fof(f1167,plain,
! [X0,X1] : join(X1,complement(join(X0,X1))) = join(X1,complement(X0)),
inference(superposition,[],[f1096,f597]) ).
fof(f1312,plain,
! [X2,X0,X1] : composition(join(X0,converse(X1)),converse(X2)) = converse(composition(X2,join(converse(X0),X1))),
inference(superposition,[],[f27,f77]) ).
fof(f1326,plain,
! [X0] : join(sK2,X0) = join(sK2,join(sF13,X0)),
inference(superposition,[],[f19,f727]) ).
fof(f1346,plain,
join(sF6,complement(sF3)) = join(sF6,complement(sF7)),
inference(superposition,[],[f1167,f43]) ).
fof(f1347,plain,
join(sF11,complement(sF10)) = join(sF11,complement(sF12)),
inference(superposition,[],[f1167,f53]) ).
fof(f1348,plain,
join(sF15,complement(sF11)) = join(sF15,complement(sF16)),
inference(superposition,[],[f1167,f70]) ).
fof(f1378,plain,
join(sF15,complement(sF11)) = join(sF15,sF17),
inference(forward_demodulation,[],[f1348,f63]) ).
fof(f1379,plain,
join(sF11,complement(sF10)) = join(sF11,sF13),
inference(forward_demodulation,[],[f1347,f55]) ).
fof(f1380,plain,
join(sF6,complement(sF3)) = join(sF6,sF8),
inference(forward_demodulation,[],[f1346,f45]) ).
fof(f1393,plain,
join(sF15,sF17) = join(sF15,sK2),
inference(forward_demodulation,[],[f1378,f607]) ).
fof(f1394,plain,
join(sF11,sF13) = join(sF11,sF9),
inference(forward_demodulation,[],[f1379,f606]) ).
fof(f1395,plain,
join(sF6,sF8) = join(sF6,sK1),
inference(forward_demodulation,[],[f1380,f603]) ).
fof(f1403,plain,
join(sF15,sF17) = join(sK2,sF15),
inference(forward_demodulation,[],[f1393,f18]) ).
fof(f1404,plain,
join(sF11,sF13) = join(sF9,sF11),
inference(forward_demodulation,[],[f1394,f18]) ).
fof(f1405,plain,
join(sF6,sF8) = join(sK1,sF6),
inference(forward_demodulation,[],[f1395,f18]) ).
fof(f1421,plain,
join(sF17,complement(sF15)) = join(sF17,complement(join(sK2,sF15))),
inference(superposition,[],[f1167,f1403]) ).
fof(f1422,plain,
join(sF17,sF14) = join(sF17,complement(join(sK2,sF15))),
inference(forward_demodulation,[],[f1421,f609]) ).
fof(f1425,plain,
join(sF14,sF17) = join(sF17,complement(join(sK2,sF15))),
inference(forward_demodulation,[],[f1422,f18]) ).
fof(f1426,plain,
sF14 = join(sF17,complement(join(sK2,sF15))),
inference(forward_demodulation,[],[f1425,f726]) ).
fof(f1680,plain,
sF18 = join(sF13,sF18),
inference(superposition,[],[f474,f71]) ).
fof(f1805,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X0,join(X2,X1)),
inference(superposition,[],[f537,f179]) ).
fof(f2537,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f100,f27]) ).
fof(f2564,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f2537,f26]) ).
fof(f2589,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(converse(converse(X2)),X1))),
inference(forward_demodulation,[],[f2564,f1312]) ).
fof(f2599,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f2589,f25]) ).
fof(f2628,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f25,f2599]) ).
fof(f2642,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f2628,f25]) ).
fof(f2676,plain,
! [X0] : composition(sK0,join(sK1,X0)) = join(sF14,composition(sK0,X0)),
inference(superposition,[],[f2642,f57]) ).
fof(f2685,plain,
! [X0] : composition(sK0,join(X0,sF8)) = join(composition(sK0,X0),sF9),
inference(superposition,[],[f2642,f47]) ).
fof(f2716,plain,
! [X0] : join(sF9,composition(sK0,X0)) = composition(sK0,join(X0,sF8)),
inference(forward_demodulation,[],[f2685,f18]) ).
fof(f2733,plain,
composition(sK0,sK1) = join(sF14,composition(sK0,sF8)),
inference(superposition,[],[f2676,f675]) ).
fof(f2771,plain,
composition(sK0,sK1) = join(sF14,sF9),
inference(forward_demodulation,[],[f2733,f47]) ).
fof(f2779,plain,
composition(sK0,sK1) = join(sF9,sF14),
inference(forward_demodulation,[],[f2771,f18]) ).
fof(f2782,plain,
sF14 = join(sF9,sF14),
inference(forward_demodulation,[],[f2779,f57]) ).
fof(f2817,plain,
! [X0] : join(X0,sF14) = join(sF9,join(X0,sF14)),
inference(superposition,[],[f537,f2782]) ).
fof(f2977,plain,
join(sF9,composition(sK0,sF6)) = composition(sK0,join(sK1,sF6)),
inference(superposition,[],[f2716,f1405]) ).
fof(f2995,plain,
join(sF9,composition(sK0,sF6)) = join(sF14,composition(sK0,sF6)),
inference(forward_demodulation,[],[f2977,f2676]) ).
fof(f3360,plain,
! [X0] : join(sF11,join(sF13,X0)) = join(join(sF9,sF11),X0),
inference(superposition,[],[f19,f1404]) ).
fof(f3380,plain,
! [X0] : join(sF11,join(sF13,X0)) = join(sF9,join(sF11,X0)),
inference(forward_demodulation,[],[f3360,f19]) ).
fof(f3430,plain,
join(sF11,complement(sF15)) = join(sF11,complement(sF16)),
inference(superposition,[],[f1074,f70]) ).
fof(f3495,plain,
join(sF11,complement(sF15)) = join(sF11,sF17),
inference(forward_demodulation,[],[f3430,f63]) ).
fof(f3533,plain,
join(sF11,sF14) = join(sF11,sF17),
inference(forward_demodulation,[],[f3495,f609]) ).
fof(f6033,plain,
! [X0] : join(sF18,X0) = join(sF13,join(X0,sF17)),
inference(superposition,[],[f175,f18]) ).
fof(f6180,plain,
join(sF13,sK2) = join(sF18,sK2),
inference(superposition,[],[f6033,f673]) ).
fof(f6181,plain,
join(sF18,sF11) = join(sF13,join(sF11,sF14)),
inference(superposition,[],[f6033,f3533]) ).
fof(f6183,plain,
join(sF18,sF14) = join(sF13,sF14),
inference(superposition,[],[f6033,f726]) ).
fof(f6184,plain,
join(sF18,sF15) = join(sF13,join(sK2,sF15)),
inference(superposition,[],[f6033,f1403]) ).
fof(f6234,plain,
join(sF18,sF15) = join(sK2,join(sF15,sF13)),
inference(forward_demodulation,[],[f6184,f179]) ).
fof(f6235,plain,
join(sF13,sF14) = join(sF14,sF18),
inference(forward_demodulation,[],[f6183,f18]) ).
fof(f6236,plain,
join(sF18,sF11) = join(sF11,join(sF14,sF13)),
inference(forward_demodulation,[],[f6181,f179]) ).
fof(f6237,plain,
join(sF13,sK2) = join(sK2,sF18),
inference(forward_demodulation,[],[f6180,f18]) ).
fof(f6255,plain,
join(sF18,sF15) = join(sK2,join(sF13,sF15)),
inference(forward_demodulation,[],[f6234,f1805]) ).
fof(f6256,plain,
join(sF18,sF11) = join(sF11,join(sF13,sF14)),
inference(forward_demodulation,[],[f6236,f1805]) ).
fof(f6257,plain,
join(sK2,sF13) = join(sK2,sF18),
inference(forward_demodulation,[],[f6237,f18]) ).
fof(f6267,plain,
join(sK2,sF15) = join(sF18,sF15),
inference(forward_demodulation,[],[f6255,f1326]) ).
fof(f6268,plain,
join(sF18,sF11) = join(sF9,join(sF11,sF14)),
inference(forward_demodulation,[],[f6256,f3380]) ).
fof(f6269,plain,
sK2 = join(sK2,sF18),
inference(forward_demodulation,[],[f6257,f727]) ).
fof(f6274,plain,
join(sK2,sF15) = join(sF15,sF18),
inference(forward_demodulation,[],[f6267,f18]) ).
fof(f6275,plain,
join(sF11,sF14) = join(sF18,sF11),
inference(forward_demodulation,[],[f6268,f2817]) ).
fof(f6279,plain,
join(sF11,sF14) = join(sF11,sF18),
inference(forward_demodulation,[],[f6275,f18]) ).
fof(f6291,plain,
complement(sF18) = join(complement(sF18),complement(sK2)),
inference(superposition,[],[f647,f6269]) ).
fof(f6302,plain,
complement(sF18) = join(complement(sK2),complement(sF18)),
inference(forward_demodulation,[],[f6291,f18]) ).
fof(f6307,plain,
complement(sF18) = join(sF11,complement(sF18)),
inference(forward_demodulation,[],[f6302,f51]) ).
fof(f6321,plain,
join(sF18,complement(sF15)) = join(sF18,complement(join(sK2,sF15))),
inference(superposition,[],[f1167,f6274]) ).
fof(f6328,plain,
join(sF18,sF14) = join(sF18,complement(join(sK2,sF15))),
inference(forward_demodulation,[],[f6321,f609]) ).
fof(f6339,plain,
join(sF14,sF18) = join(sF18,complement(join(sK2,sF15))),
inference(forward_demodulation,[],[f6328,f18]) ).
fof(f6346,plain,
join(sF13,sF14) = join(sF18,complement(join(sK2,sF15))),
inference(forward_demodulation,[],[f6339,f6235]) ).
fof(f6361,plain,
join(sF12,sF15) = join(sF10,sF16),
inference(superposition,[],[f173,f70]) ).
fof(f7129,plain,
join(sF11,complement(join(sF11,sF14))) = join(sF11,complement(sF18)),
inference(superposition,[],[f1074,f6279]) ).
fof(f7139,plain,
complement(sF18) = join(sF11,complement(join(sF11,sF14))),
inference(forward_demodulation,[],[f7129,f6307]) ).
fof(f7151,plain,
complement(sF18) = join(sF11,complement(sF14)),
inference(forward_demodulation,[],[f7139,f1074]) ).
fof(f7160,plain,
join(sF11,sF15) = complement(sF18),
inference(forward_demodulation,[],[f7151,f59]) ).
fof(f7167,plain,
sF16 = complement(sF18),
inference(forward_demodulation,[],[f7160,f70]) ).
fof(f7202,plain,
complement(sF16) = sF18,
inference(superposition,[],[f597,f7167]) ).
fof(f7206,plain,
sF17 = sF18,
inference(forward_demodulation,[],[f7202,f63]) ).
fof(f7209,plain,
sF13 != sF17,
inference(backward_demodulation,[],[f66,f7206]) ).
fof(f7213,plain,
sF17 = join(sF13,sF17),
inference(backward_demodulation,[],[f1680,f7206]) ).
fof(f7250,plain,
join(sF17,complement(join(sK2,sF15))) = join(sF13,sF14),
inference(backward_demodulation,[],[f6346,f7206]) ).
fof(f7271,plain,
sF14 = join(sF13,sF14),
inference(forward_demodulation,[],[f7250,f1426]) ).
fof(f7326,plain,
complement(sF13) = join(complement(sF13),complement(sF14)),
inference(superposition,[],[f573,f7271]) ).
fof(f7343,plain,
complement(sF13) = join(complement(sF13),sF15),
inference(forward_demodulation,[],[f7326,f59]) ).
fof(f7350,plain,
complement(sF13) = join(sF15,complement(sF13)),
inference(forward_demodulation,[],[f7343,f18]) ).
fof(f7355,plain,
sF12 = join(sF15,sF12),
inference(forward_demodulation,[],[f7350,f608]) ).
fof(f7359,plain,
sF12 = join(sF12,sF15),
inference(forward_demodulation,[],[f7355,f18]) ).
fof(f7362,plain,
sF12 = join(sF10,sF16),
inference(backward_demodulation,[],[f6361,f7359]) ).
fof(f7594,plain,
! [X0] : join(sF11,X0) = join(composition(sK0,sF6),join(sF11,X0)),
inference(superposition,[],[f167,f313]) ).
fof(f7725,plain,
! [X0] : join(sF11,X0) = join(sF11,join(X0,composition(sK0,sF6))),
inference(forward_demodulation,[],[f7594,f179]) ).
fof(f8540,plain,
join(sF16,complement(sF10)) = join(sF16,complement(sF12)),
inference(superposition,[],[f1167,f7362]) ).
fof(f8549,plain,
join(sF16,complement(sF10)) = join(sF16,sF13),
inference(forward_demodulation,[],[f8540,f55]) ).
fof(f8562,plain,
join(sF13,sF16) = join(sF16,complement(sF10)),
inference(forward_demodulation,[],[f8549,f18]) ).
fof(f8572,plain,
join(sF13,sF16) = join(sF16,sF9),
inference(forward_demodulation,[],[f8562,f606]) ).
fof(f8581,plain,
join(sF13,sF16) = join(sF9,sF16),
inference(forward_demodulation,[],[f8572,f18]) ).
fof(f8796,plain,
join(sF13,complement(sF16)) = join(sF13,complement(join(sF9,sF16))),
inference(superposition,[],[f1074,f8581]) ).
fof(f8806,plain,
join(sF13,sF17) = join(sF13,complement(join(sF9,sF16))),
inference(forward_demodulation,[],[f8796,f63]) ).
fof(f8819,plain,
sF17 = join(sF13,complement(join(sF9,sF16))),
inference(forward_demodulation,[],[f8806,f7213]) ).
fof(f10382,plain,
join(sF11,sF14) = join(sF11,join(sF9,composition(sK0,sF6))),
inference(superposition,[],[f7725,f2995]) ).
fof(f10415,plain,
join(sF11,sF14) = join(sF9,join(composition(sK0,sF6),sF11)),
inference(forward_demodulation,[],[f10382,f179]) ).
fof(f10422,plain,
join(sF11,sF14) = join(sF9,join(sF11,composition(sK0,sF6))),
inference(forward_demodulation,[],[f10415,f1805]) ).
fof(f10427,plain,
join(sF9,sF11) = join(sF11,sF14),
inference(forward_demodulation,[],[f10422,f313]) ).
fof(f10432,plain,
join(sF9,sF11) = join(sF11,sF17),
inference(backward_demodulation,[],[f3533,f10427]) ).
fof(f10453,plain,
join(sF11,complement(join(sF9,sF11))) = join(sF11,complement(sF17)),
inference(superposition,[],[f1074,f10432]) ).
fof(f10464,plain,
join(sF11,sF16) = join(sF11,complement(join(sF9,sF11))),
inference(forward_demodulation,[],[f10453,f610]) ).
fof(f10479,plain,
join(sF11,sF16) = join(sF11,complement(sF9)),
inference(forward_demodulation,[],[f10464,f1167]) ).
fof(f10492,plain,
join(sF11,sF10) = join(sF11,sF16),
inference(forward_demodulation,[],[f10479,f49]) ).
fof(f10503,plain,
sF16 = join(sF11,sF10),
inference(forward_demodulation,[],[f10492,f793]) ).
fof(f10510,plain,
join(sF10,sF11) = sF16,
inference(forward_demodulation,[],[f10503,f18]) ).
fof(f10515,plain,
sF12 = sF16,
inference(forward_demodulation,[],[f10510,f53]) ).
fof(f10590,plain,
sF17 = join(sF13,complement(join(sF9,sF12))),
inference(backward_demodulation,[],[f8819,f10515]) ).
fof(f10608,plain,
sF13 = sF17,
inference(forward_demodulation,[],[f10590,f682]) ).
fof(f10625,plain,
$false,
inference(forward_subsumption_resolution,[],[f10608,f7209]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : REL038+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n020.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 22:56:34 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.45/2.56 % (3862116)Detected formulas, will run a generic FOF schedule.
% 11.45/2.56 % (3862122)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=2790402725:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.45/2.56 % (3862123)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=1397278701:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.45/2.56 % (3862121)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=2963408102:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.45/2.56 % (3862124)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3262209182:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.45/2.56 % (3862127)dis-21_1_sil=8000:lcm=predicate:random_seed=2875779503: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)
% 11.45/2.56 % (3862125)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3291006855:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.45/2.56 % (3862126)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3118541296:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.45/2.56 % (3862127)Refutation not found, incomplete strategy
% 11.45/2.56 % (3862127)------------------------------
% 11.45/2.56 % (3862127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.45/2.56 % (3862127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.45/2.56 % (3862127)CaDiCaL version: 2.1.3
% 11.45/2.56 % (3862127)Termination reason: Refutation not found, incomplete strategy
% 11.45/2.56 % (3862127)Time elapsed: 0.002 s
% 11.45/2.56 % (3862127)Peak memory usage: 88 MB
% 11.45/2.56 % (3862127)Instructions burned: 1 (million)
% 11.45/2.56 % (3862124)Refutation not found, incomplete strategy
% 11.45/2.56 % (3862124)------------------------------
% 11.45/2.56 % (3862124)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.45/2.56 % (3862124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.45/2.56 % (3862124)CaDiCaL version: 2.1.3
% 11.45/2.56 % (3862124)Termination reason: Refutation not found, incomplete strategy
% 11.45/2.56 % (3862124)Time elapsed: 0.002 s
% 11.45/2.56 % (3862124)Peak memory usage: 88 MB
% 11.45/2.56 % (3862124)Instructions burned: 1 (million)
% 11.45/2.56 % (3862125)Instruction limit reached!
% 11.45/2.56 % (3862125)------------------------------
% 11.45/2.56 % (3862125)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.45/2.56 % (3862125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.45/2.56 % (3862125)CaDiCaL version: 2.1.3
% 11.45/2.56 % (3862125)Termination reason: Instruction limit
% 11.45/2.56 % (3862125)Termination phase: Saturation
% 11.45/2.56 % (3862125)Time elapsed: 0.064 s
% 11.45/2.56 % (3862125)Peak memory usage: 88 MB
% 11.45/2.56 % (3862125)Instructions burned: 120 (million)
% 11.45/2.56 % (3862126)Instruction limit reached!
% 11.45/2.56 % (3862126)------------------------------
% 11.45/2.56 % (3862126)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.45/2.56 % (3862126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.45/2.56 % (3862126)CaDiCaL version: 2.1.3
% 11.45/2.56 % (3862126)Termination reason: Instruction limit
% 11.45/2.56 % (3862126)Termination phase: Saturation
% 11.45/2.56 % (3862126)Time elapsed: 0.083 s
% 11.45/2.56 % (3862126)Peak memory usage: 89 MB
% 11.45/2.56 % (3862126)Instructions burned: 139 (million)
% 11.45/2.56 % (3862136)lrs+10_1_sil=32000:urr=on:br=off:random_seed=436314445:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.45/2.56 % (3862135)lrs+10_1_sil=8000:sp=occurrence:random_seed=3676959592:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.45/2.56 % (3862124)------------------------------
% 11.45/2.56 % (3862124)------------------------------
% 11.45/2.56 % (3862127)------------------------------
% 11.45/2.56 % (3862127)------------------------------
% 11.45/2.56 % (3862136)Instruction limit reached!
% 11.45/2.56 % (3862136)------------------------------
% 11.45/2.56 % (3862136)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.45/2.56 % (3862136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.41/3.20 % (3862136)CaDiCaL version: 2.1.3
% 16.41/3.20 % (3862136)Termination reason: Instruction limit
% 16.41/3.20 % (3862136)Termination phase: Saturation
% 16.41/3.20 % (3862136)Time elapsed: 0.096 s
% 16.41/3.20 % (3862136)Peak memory usage: 90 MB
% 16.41/3.20 % (3862136)Instructions burned: 158 (million)
% 16.41/3.20 % (3862135)Instruction limit reached!
% 16.41/3.20 % (3862135)------------------------------
% 16.41/3.20 % (3862135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.41/3.20 % (3862135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.41/3.20 % (3862135)CaDiCaL version: 2.1.3
% 16.41/3.20 % (3862135)Termination reason: Instruction limit
% 16.41/3.20 % (3862135)Termination phase: Saturation
% 16.41/3.20 % (3862135)Time elapsed: 0.170 s
% 16.41/3.20 % (3862135)Peak memory usage: 91 MB
% 16.41/3.20 % (3862135)Instructions burned: 287 (million)
% 16.41/3.20 % (3862140)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=1187269854:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 16.41/3.20 % (3862139)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4157988636:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 16.41/3.20 % (3862141)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1444335347:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 16.41/3.20 % (3862141)Refutation not found, incomplete strategy
% 16.41/3.20 % (3862141)------------------------------
% 16.41/3.20 % (3862141)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.41/3.20 % (3862141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.41/3.20 % (3862141)CaDiCaL version: 2.1.3
% 16.41/3.20 % (3862141)Termination reason: Refutation not found, incomplete strategy
% 16.41/3.20 % (3862141)Time elapsed: 0.002 s
% 16.41/3.20 % (3862141)Peak memory usage: 88 MB
% 16.41/3.20 % (3862141)Instructions burned: 1 (million)
% 16.41/3.20 % (3862140)Instruction limit reached!
% 16.41/3.20 % (3862140)------------------------------
% 16.41/3.20 % (3862140)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.41/3.20 % (3862140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.41/3.20 % (3862140)CaDiCaL version: 2.1.3
% 16.41/3.20 % (3862140)Termination reason: Instruction limit
% 16.41/3.20 % (3862140)Termination phase: Saturation
% 16.41/3.20 % (3862140)Time elapsed: 0.152 s
% 16.41/3.20 % (3862140)Peak memory usage: 91 MB
% 16.41/3.20 % (3862140)Instructions burned: 249 (million)
% 16.41/3.20 % (3862142)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3589269376:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 16.41/3.20 % (3862123)Refutation not found, incomplete strategy
% 16.41/3.20 % (3862123)------------------------------
% 16.41/3.20 % (3862123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.41/3.20 % (3862123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.41/3.20 % (3862123)CaDiCaL version: 2.1.3
% 16.41/3.20 % (3862123)Termination reason: Refutation not found, incomplete strategy
% 16.41/3.20 % (3862123)Time elapsed: 0.595 s
% 16.41/3.20 % (3862123)Peak memory usage: 127 MB
% 16.41/3.20 % (3862123)Instructions burned: 898 (million)
% 16.41/3.20 % (3862139)Instruction limit reached!
% 16.41/3.20 % (3862139)------------------------------
% 16.41/3.20 % (3862139)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.41/3.20 % (3862139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.41/3.20 % (3862139)CaDiCaL version: 2.1.3
% 16.41/3.20 % (3862139)Termination reason: Instruction limit
% 16.41/3.20 % (3862139)Termination phase: Saturation
% 16.41/3.20 % (3862139)Time elapsed: 0.196 s
% 16.41/3.20 % (3862139)Peak memory usage: 91 MB
% 16.41/3.20 % (3862139)Instructions burned: 325 (million)
% 16.41/3.20 % (3862141)------------------------------
% 16.41/3.20 % (3862141)------------------------------
% 16.41/3.20 % (3862146)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4294397308:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 16.41/3.20 % (3862146)Refutation not found, incomplete strategy
% 16.41/3.20 % (3862146)------------------------------
% 16.41/3.20 % (3862146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.41/3.20 % (3862146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.41/3.20 % (3862146)CaDiCaL version: 2.1.3
% 26.80/4.65 % (3862146)Termination reason: Refutation not found, incomplete strategy
% 26.80/4.65 % (3862146)Time elapsed: 0.002 s
% 26.80/4.65 % (3862146)Peak memory usage: 88 MB
% 26.80/4.65 % (3862146)Instructions burned: 2 (million)
% 26.80/4.65 % (3862148)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3305124919:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 26.80/4.65 % (3862148)Refutation not found, incomplete strategy
% 26.80/4.65 % (3862148)------------------------------
% 26.80/4.65 % (3862148)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.80/4.65 % (3862148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.80/4.65 % (3862148)CaDiCaL version: 2.1.3
% 26.80/4.65 % (3862148)Termination reason: Refutation not found, incomplete strategy
% 26.80/4.65 % (3862148)Time elapsed: 0.001 s
% 26.80/4.65 % (3862148)Peak memory usage: 88 MB
% 26.80/4.65 % (3862123)------------------------------
% 26.80/4.65 % (3862123)------------------------------
% 26.80/4.65 % (3862150)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2693617929:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 26.80/4.65 % (3862146)------------------------------
% 26.80/4.65 % (3862146)------------------------------
% 26.80/4.65 % (3862150)Instruction limit reached!
% 26.80/4.65 % (3862150)------------------------------
% 26.80/4.65 % (3862150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.80/4.65 % (3862150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.80/4.65 % (3862150)CaDiCaL version: 2.1.3
% 26.80/4.65 % (3862150)Termination reason: Instruction limit
% 26.80/4.65 % (3862150)Termination phase: Saturation
% 26.80/4.65 % (3862150)Time elapsed: 0.067 s
% 26.80/4.65 % (3862150)Peak memory usage: 89 MB
% 26.80/4.65 % (3862150)Instructions burned: 115 (million)
% 26.80/4.65 % (3862152)lrs+10_1_sil=8000:sp=occurrence:random_seed=1812770951:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 26.80/4.65 % (3862148)------------------------------
% 26.80/4.65 % (3862148)------------------------------
% 26.80/4.65 % (3862154)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1085732086:i=437:sd=1:aac=none:ss=included_2988 on theBenchmark for (2988ds/437Mi)
% 26.80/4.65 % (3862154)Refutation not found, incomplete strategy
% 26.80/4.65 % (3862154)------------------------------
% 26.80/4.65 % (3862154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.80/4.65 % (3862154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.80/4.65 % (3862154)CaDiCaL version: 2.1.3
% 26.80/4.65 % (3862154)Termination reason: Refutation not found, incomplete strategy
% 26.80/4.65 % (3862154)Time elapsed: 0.002 s
% 26.80/4.65 % (3862154)Peak memory usage: 88 MB
% 26.80/4.65 % (3862154)Instructions burned: 1 (million)
% 26.80/4.65 % (3862155)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=357548453:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 26.80/4.65 % (3862157)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3922395570:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 26.80/4.65 % (3862157)Refutation not found, incomplete strategy
% 26.80/4.65 % (3862157)------------------------------
% 26.80/4.65 % (3862157)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.80/4.65 % (3862157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.80/4.65 % (3862157)CaDiCaL version: 2.1.3
% 26.80/4.65 % (3862157)Termination reason: Refutation not found, incomplete strategy
% 26.80/4.65 % (3862157)Time elapsed: 0.002 s
% 26.80/4.65 % (3862157)Peak memory usage: 89 MB
% 26.80/4.65 % (3862157)Instructions burned: 1 (million)
% 26.80/4.65 % (3862154)------------------------------
% 26.80/4.65 % (3862154)------------------------------
% 26.80/4.65 % (3862157)------------------------------
% 26.80/4.65 % (3862157)------------------------------
% 26.80/4.65 % (3862161)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1895580641:st=8:i=592:sd=3:ep=RST:ss=axioms_2984 on theBenchmark for (2984ds/592Mi)
% 26.80/4.65 % (3862152)Instruction limit reached!
% 26.80/4.65 % (3862152)------------------------------
% 26.80/4.65 % (3862152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.80/4.65 % (3862152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.80/4.65 % (3862152)CaDiCaL version: 2.1.3
% 31.90/5.38 % (3862152)Termination reason: Instruction limit
% 31.90/5.38 % (3862152)Termination phase: Saturation
% 31.90/5.38 % (3862152)Time elapsed: 0.532 s
% 31.90/5.38 % (3862152)Peak memory usage: 96 MB
% 31.90/5.38 % (3862152)Instructions burned: 908 (million)
% 31.90/5.38 % (3862162)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2245274929:st=3:i=13193:sd=3:ss=axioms_2983 on theBenchmark for (2983ds/13193Mi)
% 31.90/5.38 % (3862164)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=2736856238:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/125Mi)
% 31.90/5.38 % (3862164)Instruction limit reached!
% 31.90/5.38 % (3862164)------------------------------
% 31.90/5.38 % (3862164)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.90/5.38 % (3862164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.90/5.38 % (3862164)CaDiCaL version: 2.1.3
% 31.90/5.38 % (3862164)Termination reason: Instruction limit
% 31.90/5.38 % (3862164)Termination phase: Saturation
% 31.90/5.38 % (3862164)Time elapsed: 0.081 s
% 31.90/5.38 % (3862164)Peak memory usage: 90 MB
% 31.90/5.38 % (3862164)Instructions burned: 125 (million)
% 31.90/5.38 % (3862161)Instruction limit reached!
% 31.90/5.38 % (3862161)------------------------------
% 31.90/5.38 % (3862161)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.90/5.38 % (3862161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.90/5.38 % (3862161)CaDiCaL version: 2.1.3
% 31.90/5.38 % (3862161)Termination reason: Instruction limit
% 31.90/5.38 % (3862161)Termination phase: Saturation
% 31.90/5.38 % (3862161)Time elapsed: 0.325 s
% 31.90/5.38 % (3862161)Peak memory usage: 94 MB
% 31.90/5.38 % (3862161)Instructions burned: 593 (million)
% 31.90/5.38 % (3862167)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1811011865:i=134:gtgl=5:slsql=off:gtg=exists_sym_2980 on theBenchmark for (2980ds/134Mi)
% 31.90/5.38 % (3862168)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3117431493:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/141Mi)
% 31.90/5.38 % (3862168)Refutation not found, incomplete strategy
% 31.90/5.38 % (3862168)------------------------------
% 31.90/5.38 % (3862168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.90/5.38 % (3862168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.90/5.38 % (3862168)CaDiCaL version: 2.1.3
% 31.90/5.38 % (3862168)Termination reason: Refutation not found, incomplete strategy
% 31.90/5.38 % (3862168)Time elapsed: 0.001 s
% 31.90/5.38 % (3862168)Peak memory usage: 88 MB
% 31.90/5.38 % (3862167)Instruction limit reached!
% 31.90/5.38 % (3862167)------------------------------
% 31.90/5.38 % (3862167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.90/5.38 % (3862167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.90/5.38 % (3862167)CaDiCaL version: 2.1.3
% 31.90/5.38 % (3862167)Termination reason: Instruction limit
% 31.90/5.38 % (3862167)Termination phase: Saturation
% 31.90/5.38 % (3862167)Time elapsed: 0.074 s
% 31.90/5.38 % (3862167)Peak memory usage: 89 MB
% 31.90/5.38 % (3862167)Instructions burned: 135 (million)
% 31.90/5.38 % (3862142)Instruction limit reached!
% 31.90/5.38 % (3862142)------------------------------
% 31.90/5.38 % (3862142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.90/5.38 % (3862142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.90/5.38 % (3862142)CaDiCaL version: 2.1.3
% 31.90/5.38 % (3862142)Termination reason: Instruction limit
% 31.90/5.38 % (3862142)Termination phase: Saturation
% 31.90/5.38 % (3862142)Time elapsed: 1.483 s
% 31.90/5.38 % (3862142)Peak memory usage: 141 MB
% 31.90/5.38 % (3862142)Instructions burned: 2351 (million)
% 31.90/5.38 % (3862171)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2975536540:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2978 on theBenchmark for (2978ds/431Mi)
% 31.90/5.38 % (3862171)Refutation not found, incomplete strategy
% 31.90/5.38 % (3862171)------------------------------
% 31.90/5.38 % (3862171)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.90/5.38 % (3862171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.90/5.38 % (3862171)CaDiCaL version: 2.1.3
% 31.90/5.38 % (3862171)Termination reason: Refutation not found, incomplete strategy
% 31.90/5.38 % (3862171)Time elapsed: 0.001 s
% 31.90/5.38 % (3862171)Peak memory usage: 88 MB
% 31.90/5.38 % (3862171)Instructions burned: 1 (million)
% 31.90/5.38 % (3862168)------------------------------
% 31.90/5.38 % (3862168)------------------------------
% 31.90/5.38 % (3862172)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=1994553438:i=6060:aac=none:ins=25_2977 on theBenchmark for (2977ds/6060Mi)
% 31.90/5.38 % (3862175)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=4288102422:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2975 on theBenchmark for (2975ds/150Mi)
% 31.90/5.38 % (3862171)------------------------------
% 31.90/5.38 % (3862171)------------------------------
% 31.90/5.38 % (3862175)Instruction limit reached!
% 31.90/5.38 % (3862175)------------------------------
% 31.90/5.38 % (3862175)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.90/5.38 % (3862175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.90/5.38 % (3862175)CaDiCaL version: 2.1.3
% 31.90/5.38 % (3862175)Termination reason: Instruction limit
% 31.90/5.38 % (3862175)Termination phase: Saturation
% 31.90/5.38 % (3862175)Time elapsed: 0.090 s
% 31.90/5.38 % (3862175)Peak memory usage: 90 MB
% 31.90/5.38 % (3862175)Instructions burned: 151 (million)
% 31.90/5.38 % (3862177)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3104179503:i=14155:bd=all_2974 on theBenchmark for (2974ds/14155Mi)
% 31.90/5.38 % (3862178)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=3627654442:i=667:av=off:fsr=off_2973 on theBenchmark for (2973ds/667Mi)
% 31.90/5.38 % (3862178)Refutation not found, incomplete strategy
% 31.90/5.38 % (3862178)------------------------------
% 31.90/5.38 % (3862178)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.90/5.38 % (3862178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.90/5.38 % (3862178)CaDiCaL version: 2.1.3
% 31.90/5.38 % (3862178)Termination reason: Refutation not found, incomplete strategy
% 31.90/5.38 % (3862178)Time elapsed: 0.002 s
% 31.90/5.38 % (3862178)Peak memory usage: 88 MB
% 31.90/5.38 % (3862178)Instructions burned: 1 (million)
% 31.90/5.38 % (3862178)------------------------------
% 31.90/5.38 % (3862178)------------------------------
% 31.90/5.38 % (3862181)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=3369359525:s2a=on:i=185:s2at=1.8:fdi=4_2969 on theBenchmark for (2969ds/185Mi)
% 31.90/5.38 % (3862181)Instruction limit reached!
% 31.90/5.38 % (3862181)------------------------------
% 31.90/5.38 % (3862181)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.90/5.38 % (3862181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.90/5.38 % (3862181)CaDiCaL version: 2.1.3
% 31.90/5.38 % (3862181)Termination reason: Instruction limit
% 31.90/5.38 % (3862181)Termination phase: Saturation
% 31.90/5.38 % (3862181)Time elapsed: 0.111 s
% 31.90/5.38 % (3862181)Peak memory usage: 90 MB
% 31.90/5.38 % (3862181)Instructions burned: 186 (million)
% 31.90/5.38 % (3862183)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=2989582539:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2966 on theBenchmark for (2966ds/193Mi)
% 31.90/5.38 % (3862183)Instruction limit reached!
% 31.90/5.38 % (3862183)------------------------------
% 31.90/5.38 % (3862183)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.90/5.38 % (3862183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.90/5.38 % (3862183)CaDiCaL version: 2.1.3
% 31.90/5.38 % (3862183)Termination reason: Instruction limit
% 31.90/5.38 % (3862183)Termination phase: Saturation
% 31.90/5.38 % (3862183)Time elapsed: 0.099 s
% 31.90/5.38 % (3862183)Peak memory usage: 90 MB
% 31.90/5.38 % (3862183)Instructions burned: 194 (million)
% 31.90/5.38 % (3862185)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=871485995:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2963 on theBenchmark for (2963ds/4850Mi)
% 31.90/5.38 % (3862185)Refutation not found, incomplete strategy
% 31.90/5.38 % (3862185)------------------------------
% 31.90/5.38 % (3862185)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.90/5.38 % (3862185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.90/5.38 % (3862185)CaDiCaL version: 2.1.3
% 31.90/5.38 % (3862185)Termination reason: Refutation not found, incomplete strategy
% 31.90/5.38 % (3862185)Time elapsed: 0.001 s
% 31.90/5.38 % (3862185)Peak memory usage: 88 MB
% 31.90/5.38 % (3862185)------------------------------
% 31.90/5.38 % (3862185)------------------------------
% 31.90/5.38 % (3862187)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=1078848441:i=12111:sd=1:ss=included_2959 on theBenchmark for (2959ds/12111Mi)
% 31.90/5.38 % (3862177)First to succeed.
% 31.90/5.38 % (3862177)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3862116"
% 31.90/5.38 % (3862155)Instruction limit reached!
% 31.90/5.38 % (3862155)------------------------------
% 31.90/5.38 % (3862155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.90/5.38 % (3862155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.90/5.38 % (3862155)CaDiCaL version: 2.1.3
% 31.90/5.38 % (3862155)Termination reason: Instruction limit
% 31.90/5.38 % (3862155)Termination phase: Saturation
% 31.90/5.38 % (3862155)Time elapsed: 3.185 s
% 31.90/5.38 % (3862155)Peak memory usage: 158 MB
% 31.90/5.38 % (3862155)Instructions burned: 5202 (million)
% 31.90/5.38 % (3862177)Refutation found. Thanks to Tanya!
% 31.90/5.38 % SZS status Theorem for theBenchmark
% 31.90/5.38 % SZS output start Proof for theBenchmark
% See solution above
% 32.56/5.58 % (3862177)------------------------------
% 32.56/5.58 % (3862177)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.56/5.58 % (3862177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.56/5.58 % (3862177)CaDiCaL version: 2.1.3
% 32.56/5.58 % (3862177)Termination reason: Refutation
% 32.56/5.58 % (3862177)Time elapsed: 1.486 s
% 32.56/5.58 % (3862177)Peak memory usage: 143 MB
% 32.56/5.58 % (3862177)Instructions burned: 2352 (million)
% 32.56/5.58 % (3862177)------------------------------
% 32.56/5.58 % (3862177)------------------------------
% 32.56/5.58 % (3862116)Success in time 4.527 s
% 32.56/5.58 % Vampire exiting
%------------------------------------------------------------------------------