%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL007-1 : 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 : n007.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 12:33:39 PM UTC 2026
% Result : Unsatisfiable 1.94s 1.90s
% Output : Refutation 6.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 14
% Syntax : Number of formulae : 141 ( 141 unt; 0 def)
% Number of atoms : 141 ( 140 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 147 ( 147 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux1_join_commutativity_1) ).
fof(f2,axiom,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux2_join_associativity_2) ).
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_3) ).
fof(f4,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux4_definiton_of_meet_4) ).
fof(f6,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(reorient_equations,[],[f5]) ).
fof(f7,axiom,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_associativity_5) ).
fof(f8,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_identity_6) ).
fof(f10,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_idempotence_8) ).
fof(f11,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_additivity_9) ).
fof(f12,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_multiplicativity_10) ).
fof(f13,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_cancellativity_11) ).
fof(f14,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(reorient_equations,[],[f13]) ).
fof(f15,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_top_12) ).
fof(f16,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_zero_13) ).
fof(f17,negated_conjecture,
meet(sk1,converse(sk2)) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_14) ).
fof(f18,plain,
zero = meet(sk1,converse(sk2)),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
meet(converse(sk1),sk2) != zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_15) ).
fof(f20,plain,
zero != meet(converse(sk1),sk2),
inference(reorient_equations,[],[f19]) ).
fof(f22,plain,
! [X2,X0,X1] : meet(X2,join(complement(X0),complement(X1))) = complement(join(complement(X2),meet(X0,X1))),
inference(superposition,[],[f6,f6]) ).
fof(f23,plain,
! [X0] : meet(X0,complement(X0)) = complement(top),
inference(superposition,[],[f6,f15]) ).
fof(f24,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X1,X0),
inference(superposition,[],[f6,f1]) ).
fof(f29,plain,
zero = complement(top),
inference(forward_demodulation,[],[f23,f16]) ).
fof(f30,plain,
! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
inference(superposition,[],[f6,f29]) ).
fof(f31,plain,
! [X0] : meet(top,X0) = complement(join(zero,complement(X0))),
inference(superposition,[],[f6,f29]) ).
fof(f33,plain,
top = join(top,zero),
inference(superposition,[],[f15,f29]) ).
fof(f34,plain,
top = join(zero,top),
inference(forward_demodulation,[],[f33,f1]) ).
fof(f35,plain,
! [X0] : meet(X0,top) = complement(join(zero,complement(X0))),
inference(forward_demodulation,[],[f30,f1]) ).
fof(f36,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f11,f10]) ).
fof(f37,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f11,f10]) ).
fof(f62,plain,
complement(top) = meet(zero,top),
inference(superposition,[],[f35,f15]) ).
fof(f63,plain,
! [X0] : meet(X0,top) = meet(top,X0),
inference(superposition,[],[f35,f31]) ).
fof(f71,plain,
zero = meet(zero,top),
inference(forward_demodulation,[],[f62,f29]) ).
fof(f75,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f12,f10]) ).
fof(f91,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(superposition,[],[f24,f6]) ).
fof(f121,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f2,f15]) ).
fof(f127,plain,
! [X0] : join(top,X0) = join(zero,join(top,X0)),
inference(superposition,[],[f2,f34]) ).
fof(f129,plain,
! [X0,X1] : top = join(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f2,f15]) ).
fof(f140,plain,
! [X0] : join(X0,top) = join(zero,join(X0,top)),
inference(superposition,[],[f127,f1]) ).
fof(f153,plain,
! [X0,X1] : composition(X0,X1) = composition(X0,composition(one,X1)),
inference(superposition,[],[f7,f8]) ).
fof(f170,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f36,f15]) ).
fof(f366,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(forward_demodulation,[],[f14,f1]) ).
fof(f401,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f75,f8]) ).
fof(f422,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f401,f10]) ).
fof(f438,plain,
! [X0] : composition(one,X0) = composition(converse(one),X0),
inference(superposition,[],[f153,f422]) ).
fof(f442,plain,
! [X0] : composition(one,X0) = X0,
inference(forward_demodulation,[],[f438,f422]) ).
fof(f493,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(one,X0))),
inference(superposition,[],[f366,f422]) ).
fof(f494,plain,
! [X2,X0,X1] : join(complement(X0),join(composition(converse(X1),complement(composition(X1,X0))),X2)) = join(complement(X0),X2),
inference(superposition,[],[f2,f366]) ).
fof(f495,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f493,f442]) ).
fof(f513,plain,
! [X0] : complement(complement(X0)) = meet(X0,X0),
inference(superposition,[],[f24,f495]) ).
fof(f520,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f4,f1]) ).
fof(f521,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),meet(X0,X1)) = X0,
inference(forward_demodulation,[],[f520,f6]) ).
fof(f522,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f521,f1]) ).
fof(f558,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[],[f522,f16]) ).
fof(f566,plain,
sk1 = join(zero,complement(join(complement(sk1),converse(sk2)))),
inference(superposition,[],[f522,f18]) ).
fof(f581,plain,
! [X2,X0,X1] : join(X0,X2) = join(meet(X0,X1),join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f2,f522]) ).
fof(f600,plain,
! [X0] : join(zero,meet(X0,X0)) = X0,
inference(forward_demodulation,[],[f558,f6]) ).
fof(f608,plain,
! [X0] : join(zero,complement(complement(X0))) = X0,
inference(forward_demodulation,[],[f600,f513]) ).
fof(f626,plain,
complement(sk1) = meet(top,join(complement(sk1),converse(sk2))),
inference(superposition,[],[f31,f566]) ).
fof(f627,plain,
! [X0] : join(zero,join(complement(join(complement(sk1),converse(sk2))),X0)) = join(sk1,X0),
inference(superposition,[],[f2,f566]) ).
fof(f642,plain,
join(zero,complement(join(complement(sk1),converse(sk2)))) = join(sk1,complement(join(complement(sk1),converse(sk2)))),
inference(superposition,[],[f627,f495]) ).
fof(f644,plain,
! [X0] : join(sk1,X0) = join(zero,join(X0,complement(join(complement(sk1),converse(sk2))))),
inference(superposition,[],[f627,f1]) ).
fof(f648,plain,
join(complement(join(complement(sk1),converse(sk2))),top) = join(sk1,top),
inference(superposition,[],[f140,f627]) ).
fof(f651,plain,
join(sk1,top) = join(top,complement(join(complement(sk1),converse(sk2)))),
inference(forward_demodulation,[],[f648,f1]) ).
fof(f655,plain,
sk1 = join(sk1,complement(join(complement(sk1),converse(sk2)))),
inference(forward_demodulation,[],[f642,f566]) ).
fof(f684,plain,
join(zero,sk1) = join(sk1,sk1),
inference(superposition,[],[f644,f655]) ).
fof(f693,plain,
! [X0] : join(sk1,join(sk1,X0)) = join(join(zero,sk1),X0),
inference(superposition,[],[f2,f684]) ).
fof(f694,plain,
! [X0] : join(sk1,join(sk1,X0)) = join(zero,join(sk1,X0)),
inference(forward_demodulation,[],[f693,f2]) ).
fof(f714,plain,
join(zero,top) = join(sk1,top),
inference(superposition,[],[f694,f15]) ).
fof(f721,plain,
top = join(sk1,top),
inference(forward_demodulation,[],[f714,f34]) ).
fof(f777,plain,
join(top,complement(join(complement(sk1),converse(sk2)))) = join(sk1,complement(zero)),
inference(superposition,[],[f644,f121]) ).
fof(f781,plain,
join(sk1,top) = join(sk1,complement(zero)),
inference(forward_demodulation,[],[f777,f651]) ).
fof(f796,plain,
top = join(sk1,complement(zero)),
inference(forward_demodulation,[],[f781,f721]) ).
fof(f803,plain,
! [X0] : join(top,X0) = join(sk1,join(complement(zero),X0)),
inference(superposition,[],[f2,f796]) ).
fof(f1030,plain,
join(top,complement(zero)) = join(sk1,complement(zero)),
inference(superposition,[],[f803,f495]) ).
fof(f1055,plain,
top = join(top,complement(zero)),
inference(forward_demodulation,[],[f1030,f796]) ).
fof(f1062,plain,
top = join(top,join(complement(zero),complement(top))),
inference(superposition,[],[f129,f1055]) ).
fof(f1064,plain,
top = join(top,join(complement(zero),zero)),
inference(forward_demodulation,[],[f1062,f29]) ).
fof(f1065,plain,
top = join(top,join(zero,complement(zero))),
inference(forward_demodulation,[],[f1064,f1]) ).
fof(f1066,plain,
top = join(top,top),
inference(forward_demodulation,[],[f1065,f15]) ).
fof(f1074,plain,
! [X0] : join(top,X0) = join(top,join(top,X0)),
inference(superposition,[],[f2,f1066]) ).
fof(f1161,plain,
converse(top) = join(top,converse(top)),
inference(superposition,[],[f1074,f170]) ).
fof(f1178,plain,
converse(converse(top)) = join(converse(top),top),
inference(superposition,[],[f37,f1161]) ).
fof(f1182,plain,
converse(converse(top)) = join(top,converse(top)),
inference(forward_demodulation,[],[f1178,f1]) ).
fof(f1183,plain,
converse(top) = converse(converse(top)),
inference(forward_demodulation,[],[f1182,f1161]) ).
fof(f1184,plain,
top = converse(top),
inference(forward_demodulation,[],[f1183,f10]) ).
fof(f6239,plain,
! [X0] : join(zero,X0) = join(zero,join(complement(join(complement(zero),top)),X0)),
inference(superposition,[],[f581,f71]) ).
fof(f6323,plain,
! [X0] : join(zero,X0) = join(zero,join(complement(join(top,complement(zero))),X0)),
inference(forward_demodulation,[],[f6239,f1]) ).
fof(f6354,plain,
! [X0] : join(zero,X0) = join(zero,join(complement(top),X0)),
inference(forward_demodulation,[],[f6323,f1055]) ).
fof(f6372,plain,
! [X0] : join(zero,X0) = join(zero,join(zero,X0)),
inference(forward_demodulation,[],[f6354,f29]) ).
fof(f6406,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f6372,f608]) ).
fof(f6561,plain,
! [X0] : complement(complement(X0)) = X0,
inference(superposition,[],[f6406,f608]) ).
fof(f6837,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f495,f6561]) ).
fof(f7107,plain,
! [X0] : top = join(X0,join(X0,complement(X0))),
inference(superposition,[],[f129,f6837]) ).
fof(f7189,plain,
! [X0] : top = join(X0,top),
inference(forward_demodulation,[],[f7107,f15]) ).
fof(f7307,plain,
! [X0] : top = join(top,X0),
inference(superposition,[],[f7189,f1]) ).
fof(f7334,plain,
! [X0] : join(meet(X0,top),complement(top)) = X0,
inference(superposition,[],[f522,f7189]) ).
fof(f7361,plain,
! [X0] : join(complement(top),meet(X0,top)) = X0,
inference(forward_demodulation,[],[f7334,f1]) ).
fof(f7381,plain,
! [X0] : join(zero,meet(X0,top)) = X0,
inference(forward_demodulation,[],[f7361,f29]) ).
fof(f7384,plain,
! [X0] : meet(X0,top) = X0,
inference(forward_demodulation,[],[f7381,f6406]) ).
fof(f7584,plain,
! [X0] : meet(top,X0) = X0,
inference(superposition,[],[f7384,f63]) ).
fof(f7641,plain,
complement(sk1) = join(complement(sk1),converse(sk2)),
inference(superposition,[],[f7584,f626]) ).
fof(f8167,plain,
! [X2,X0,X1] : join(X0,join(complement(X0),X1)) = join(top,join(composition(converse(X2),complement(composition(X2,X0))),X1)),
inference(superposition,[],[f121,f494]) ).
fof(f8194,plain,
! [X0,X1] : top = join(X0,join(complement(X0),X1)),
inference(forward_demodulation,[],[f8167,f7307]) ).
fof(f9066,plain,
! [X0,X1] : top = join(X1,join(X0,complement(X1))),
inference(superposition,[],[f8194,f1]) ).
fof(f9109,plain,
! [X0,X1] : join(meet(X0,join(complement(complement(X0)),X1)),complement(top)) = X0,
inference(superposition,[],[f522,f8194]) ).
fof(f9175,plain,
! [X0,X1] : join(complement(top),meet(X0,join(complement(complement(X0)),X1))) = X0,
inference(forward_demodulation,[],[f9109,f1]) ).
fof(f9212,plain,
! [X0,X1] : join(complement(top),meet(X0,join(X0,X1))) = X0,
inference(forward_demodulation,[],[f9175,f6561]) ).
fof(f9232,plain,
! [X0,X1] : join(zero,meet(X0,join(X0,X1))) = X0,
inference(forward_demodulation,[],[f9212,f29]) ).
fof(f9244,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
inference(forward_demodulation,[],[f9232,f6406]) ).
fof(f9253,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = X1,
inference(superposition,[],[f9244,f1]) ).
fof(f9422,plain,
! [X0,X1] : complement(X0) = complement(join(complement(complement(X0)),meet(X0,X1))),
inference(superposition,[],[f22,f9244]) ).
fof(f9439,plain,
! [X0,X1] : complement(X0) = complement(join(X0,meet(X0,X1))),
inference(forward_demodulation,[],[f9422,f6561]) ).
fof(f10125,plain,
! [X0,X1] : top = join(X0,complement(meet(X0,X1))),
inference(superposition,[],[f9066,f581]) ).
fof(f10360,plain,
! [X0,X1] : top = join(X1,complement(meet(X0,X1))),
inference(superposition,[],[f10125,f91]) ).
fof(f10584,plain,
! [X0,X1] : complement(top) = meet(X0,meet(X1,complement(X0))),
inference(superposition,[],[f6,f10360]) ).
fof(f10661,plain,
! [X0,X1] : zero = meet(X0,meet(X1,complement(X0))),
inference(forward_demodulation,[],[f10584,f29]) ).
fof(f10961,plain,
! [X0,X1] : zero = meet(complement(X0),meet(X1,X0)),
inference(superposition,[],[f10661,f6561]) ).
fof(f11146,plain,
! [X0,X1] : zero = meet(complement(join(X1,X0)),X0),
inference(superposition,[],[f10961,f9253]) ).
fof(f11202,plain,
! [X0,X1] : zero = meet(X0,complement(join(X1,X0))),
inference(forward_demodulation,[],[f11146,f91]) ).
fof(f12265,plain,
converse(complement(sk1)) = join(converse(complement(sk1)),sk2),
inference(superposition,[],[f37,f7641]) ).
fof(f12279,plain,
converse(complement(sk1)) = join(sk2,converse(complement(sk1))),
inference(forward_demodulation,[],[f12265,f1]) ).
fof(f15382,plain,
! [X0,X1] : join(zero,complement(complement(X0))) = join(X0,meet(X0,X1)),
inference(superposition,[],[f608,f9439]) ).
fof(f15407,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(forward_demodulation,[],[f15382,f608]) ).
fof(f15493,plain,
! [X0,X1] : join(X1,meet(X0,X1)) = X1,
inference(superposition,[],[f15407,f91]) ).
fof(f15708,plain,
! [X0,X1] : converse(converse(X0)) = join(X0,converse(meet(X1,converse(X0)))),
inference(superposition,[],[f36,f15493]) ).
fof(f15739,plain,
! [X0,X1] : join(X0,converse(meet(X1,converse(X0)))) = X0,
inference(forward_demodulation,[],[f15708,f10]) ).
fof(f24992,plain,
sk2 = meet(sk2,converse(complement(sk1))),
inference(superposition,[],[f9244,f12279]) ).
fof(f25022,plain,
top = join(converse(complement(sk1)),complement(sk2)),
inference(superposition,[],[f10360,f24992]) ).
fof(f25033,plain,
top = join(complement(sk2),converse(complement(sk1))),
inference(forward_demodulation,[],[f25022,f1]) ).
fof(f25112,plain,
converse(top) = join(converse(complement(sk2)),complement(sk1)),
inference(superposition,[],[f37,f25033]) ).
fof(f25144,plain,
converse(top) = join(complement(sk1),converse(complement(sk2))),
inference(forward_demodulation,[],[f25112,f1]) ).
fof(f25156,plain,
top = join(complement(sk1),converse(complement(sk2))),
inference(forward_demodulation,[],[f25144,f1184]) ).
fof(f25173,plain,
sk1 = join(meet(sk1,converse(complement(sk2))),complement(top)),
inference(superposition,[],[f522,f25156]) ).
fof(f25207,plain,
sk1 = join(complement(top),meet(sk1,converse(complement(sk2)))),
inference(forward_demodulation,[],[f25173,f1]) ).
fof(f25219,plain,
sk1 = join(zero,meet(sk1,converse(complement(sk2)))),
inference(forward_demodulation,[],[f25207,f29]) ).
fof(f25222,plain,
sk1 = meet(sk1,converse(complement(sk2))),
inference(forward_demodulation,[],[f25219,f6406]) ).
fof(f25226,plain,
complement(sk2) = join(complement(sk2),converse(sk1)),
inference(superposition,[],[f15739,f25222]) ).
fof(f25283,plain,
zero = meet(converse(sk1),complement(complement(sk2))),
inference(superposition,[],[f11202,f25226]) ).
fof(f25288,plain,
zero = meet(converse(sk1),sk2),
inference(forward_demodulation,[],[f25283,f6561]) ).
fof(f25301,plain,
$false,
inference(forward_subsumption_resolution,[],[f25288,f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : REL007-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n007.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 22:48:25 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.43 Running first-order theorem proving
% 0.15/0.43 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
% 1.94/1.90 % (1857906)Detected a unit-equality problem, will run specialized UEQ schedule.
% 1.94/1.90 % (1857921)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3312883473:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 1.94/1.90 % (1857924)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2661779449:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 1.94/1.90 % (1857925)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=4179355276:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 1.94/1.90 % (1857923)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=2696316876:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 1.94/1.90 % (1857926)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=976428841:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 1.94/1.90 % (1857920)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=234086317:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 1.94/1.90 % (1857922)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3759426914:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 1.94/1.90 % (1857923)Instruction limit reached!
% 1.94/1.90 % (1857923)------------------------------
% 1.94/1.90 % (1857923)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.94/1.90 % (1857923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/1.90 % (1857923)CaDiCaL version: 2.1.3
% 1.94/1.90 % (1857923)Termination reason: Instruction limit
% 1.94/1.90 % (1857923)Termination phase: Saturation
% 1.94/1.90 % (1857923)Time elapsed: 0.084 s
% 1.94/1.90 % (1857923)Peak memory usage: 89 MB
% 1.94/1.90 % (1857923)Instructions burned: 137 (million)
% 1.94/1.90 % (1857924)Instruction limit reached!
% 1.94/1.90 % (1857924)------------------------------
% 1.94/1.90 % (1857924)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.94/1.90 % (1857924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/1.90 % (1857924)CaDiCaL version: 2.1.3
% 1.94/1.90 % (1857924)Termination reason: Instruction limit
% 1.94/1.90 % (1857924)Termination phase: Saturation
% 1.94/1.90 % (1857924)Time elapsed: 0.104 s
% 1.94/1.90 % (1857924)Peak memory usage: 89 MB
% 1.94/1.90 % (1857924)Instructions burned: 182 (million)
% 1.94/1.90 % (1857925)Instruction limit reached!
% 1.94/1.90 % (1857925)------------------------------
% 1.94/1.90 % (1857925)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.94/1.90 % (1857925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/1.90 % (1857925)CaDiCaL version: 2.1.3
% 1.94/1.90 % (1857925)Termination reason: Instruction limit
% 1.94/1.90 % (1857925)Termination phase: Saturation
% 1.94/1.90 % (1857925)Time elapsed: 0.169 s
% 1.94/1.90 % (1857925)Peak memory usage: 90 MB
% 1.94/1.90 % (1857925)Instructions burned: 258 (million)
% 1.94/1.90 % (1857955)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=435096724:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 1.94/1.90 % (1857963)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=279757413:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 1.94/1.90 % (1857990)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=1735711968:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 1.94/1.90 % (1857926)First to succeed.
% 1.94/1.90 % (1857926)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1857906"
% 1.94/1.90 % (1857990)Instruction limit reached!
% 1.94/1.90 % (1857990)------------------------------
% 1.94/1.90 % (1857990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.94/1.90 % (1857990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/1.90 % (1857990)CaDiCaL version: 2.1.3
% 1.94/1.90 % (1857990)Termination reason: Instruction limit
% 1.94/1.90 % (1857990)Termination phase: Saturation
% 1.94/1.90 % (1857990)Time elapsed: 0.119 s
% 1.94/1.90 % (1857990)Peak memory usage: 92 MB
% 1.94/1.90 % (1857990)Instructions burned: 216 (million)
% 1.94/1.90 % (1858072)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=2067681364:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2993 on theBenchmark for (2993ds/317Mi)
% 1.94/1.90 % (1857926)Refutation found. Thanks to Tanya!
% 1.94/1.90 % SZS status Unsatisfiable for theBenchmark
% 1.94/1.90 % SZS output start Proof for theBenchmark
% See solution above
% 6.64/2.05 % (1857926)------------------------------
% 6.64/2.05 % (1857926)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.64/2.05 % (1857926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/2.05 % (1857926)CaDiCaL version: 2.1.3
% 6.64/2.05 % (1857926)Termination reason: Refutation
% 6.64/2.05 % (1857926)Time elapsed: 0.403 s
% 6.64/2.05 % (1857926)Peak memory usage: 95 MB
% 6.64/2.05 % (1857926)Instructions burned: 722 (million)
% 6.64/2.05 % (1857926)------------------------------
% 6.64/2.05 % (1857926)------------------------------
% 6.64/2.05 % (1857906)Success in time 0.822 s
% 6.64/2.05 % Vampire exiting
%------------------------------------------------------------------------------