%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL005-1 : 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 : n005.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 12:33:38 PM UTC 2026
% Result : Unsatisfiable 4.66s 1.67s
% Output : Refutation 6.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 12
% Syntax : Number of formulae : 115 ( 115 unt; 0 def)
% Number of atoms : 115 ( 114 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 9 ( 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 : 185 ( 185 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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(f8,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_identity_6) ).
fof(f10,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence_8) ).
fof(f11,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity_9) ).
fof(f12,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',def_top_12) ).
fof(f16,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_zero_13) ).
fof(f17,negated_conjecture,
converse(meet(sk1,sk2)) != meet(converse(sk1),converse(sk2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_14) ).
fof(f18,plain,
converse(complement(join(complement(sk1),complement(sk2)))) != complement(join(complement(converse(sk1)),complement(converse(sk2)))),
inference(definition_unfolding,[],[f17,f6,f6]) ).
fof(f19,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f16,f6]) ).
fof(f20,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f4,f1]) ).
fof(f21,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(forward_demodulation,[],[f14,f1]) ).
fof(f22,plain,
zero = complement(top),
inference(forward_demodulation,[],[f19,f15]) ).
fof(f25,plain,
! [X0,X1] : join(complement(join(X0,complement(X1))),complement(join(complement(X1),complement(X0)))) = X1,
inference(superposition,[],[f20,f1]) ).
fof(f28,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1)))),complement(X0)),
inference(superposition,[],[f20,f20]) ).
fof(f30,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(superposition,[],[f20,f1]) ).
fof(f31,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,[],[f28,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(f102,plain,
! [X0] : complement(X0) = join(complement(join(complement(complement(X0)),X0)),complement(top)),
inference(superposition,[],[f30,f15]) ).
fof(f106,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f36,f15]) ).
fof(f110,plain,
! [X0] : complement(X0) = join(complement(top),complement(join(complement(complement(X0)),X0))),
inference(forward_demodulation,[],[f102,f1]) ).
fof(f113,plain,
! [X0] : complement(X0) = join(complement(top),complement(join(X0,complement(complement(X0))))),
inference(forward_demodulation,[],[f110,f1]) ).
fof(f114,plain,
! [X0] : complement(X0) = join(zero,complement(join(X0,complement(complement(X0))))),
inference(forward_demodulation,[],[f113,f22]) ).
fof(f153,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f2,f15]) ).
fof(f155,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(complement(join(complement(X0),complement(X1))),X2)),
inference(superposition,[],[f2,f20]) ).
fof(f163,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f1,f2]) ).
fof(f164,plain,
! [X0,X1] : top = join(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f15,f2]) ).
fof(f193,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(X0,complement(composition(converse(X0),X1)))),
inference(superposition,[],[f21,f10]) ).
fof(f462,plain,
! [X0,X1] : join(top,X0) = join(X1,join(X0,complement(X1))),
inference(superposition,[],[f153,f1]) ).
fof(f507,plain,
! [X0,X1] : composition(converse(X1),X0) = converse(composition(converse(X0),X1)),
inference(superposition,[],[f12,f10]) ).
fof(f646,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f507,f8]) ).
fof(f661,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f646,f10]) ).
fof(f677,plain,
one = converse(one),
inference(superposition,[],[f8,f661]) ).
fof(f684,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f661,f677]) ).
fof(f704,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(converse(one),X0))),
inference(superposition,[],[f193,f684]) ).
fof(f705,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f704,f661]) ).
fof(f722,plain,
! [X0] : top = join(complement(X0),join(complement(X0),complement(complement(X0)))),
inference(superposition,[],[f164,f705]) ).
fof(f726,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,[],[f155,f705]) ).
fof(f727,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f726,f20]) ).
fof(f728,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[],[f722,f462]) ).
fof(f778,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(superposition,[],[f727,f31]) ).
fof(f781,plain,
! [X0] : join(X0,complement(complement(X0))) = X0,
inference(superposition,[],[f727,f727]) ).
fof(f868,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(join(complement(X0),X2),complement(join(X0,X1))),
inference(superposition,[],[f778,f155]) ).
fof(f870,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f778,f1]) ).
fof(f878,plain,
! [X0] : join(X0,complement(converse(top))) = X0,
inference(superposition,[],[f778,f106]) ).
fof(f918,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(complement(X0),join(X2,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f868,f2]) ).
fof(f941,plain,
! [X0,X1] : join(X0,X1) = join(complement(join(complement(X0),complement(complement(X0)))),join(complement(complement(X0)),X1)),
inference(superposition,[],[f155,f781]) ).
fof(f945,plain,
! [X0] : complement(X0) = join(zero,complement(X0)),
inference(superposition,[],[f114,f781]) ).
fof(f970,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(X1,complement(join(complement(X0),complement(complement(X0)))))),
inference(forward_demodulation,[],[f941,f163]) ).
fof(f977,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),X1),
inference(forward_demodulation,[],[f970,f918]) ).
fof(f988,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(top)))) = X0,
inference(superposition,[],[f25,f728]) ).
fof(f998,plain,
! [X0] : join(zero,complement(join(complement(X0),zero))) = X0,
inference(forward_demodulation,[],[f988,f22]) ).
fof(f1000,plain,
! [X0] : complement(join(complement(X0),zero)) = X0,
inference(forward_demodulation,[],[f998,f945]) ).
fof(f1001,plain,
! [X0] : complement(join(zero,complement(X0))) = X0,
inference(forward_demodulation,[],[f1000,f1]) ).
fof(f1002,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f1001,f945]) ).
fof(f1007,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(X0,complement(X1)))),
inference(superposition,[],[f20,f1002]) ).
fof(f1011,plain,
! [X0,X1] : complement(X0) = join(complement(join(X1,X0)),complement(join(X0,complement(X1)))),
inference(superposition,[],[f25,f1002]) ).
fof(f1013,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(X1),X0))),
inference(superposition,[],[f30,f1002]) ).
fof(f1096,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(complement(X0)),complement(join(complement(join(X0,complement(X1))),complement(complement(join(X0,X1)))))),
inference(superposition,[],[f25,f1007]) ).
fof(f1097,plain,
! [X0,X1] : join(X0,X1) = join(join(X0,X1),complement(complement(X0))),
inference(superposition,[],[f778,f1007]) ).
fof(f1116,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(X0,X1)),
inference(forward_demodulation,[],[f1097,f1]) ).
fof(f1117,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(complement(join(X0,complement(X1))),complement(complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f1096,f977]) ).
fof(f1159,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,complement(complement(X0)))),
inference(forward_demodulation,[],[f1116,f163]) ).
fof(f1160,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(complement(complement(join(X0,X1))),complement(join(X0,complement(X1)))))),
inference(forward_demodulation,[],[f1117,f1]) ).
fof(f1190,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,X0)),
inference(forward_demodulation,[],[f1159,f1002]) ).
fof(f1191,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(join(X0,X1),complement(join(X0,complement(X1)))))),
inference(forward_demodulation,[],[f1160,f977]) ).
fof(f1211,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,join(X1,complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f1191,f2]) ).
fof(f1222,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f1211,f870]) ).
fof(f1232,plain,
! [X0,X1] : complement(X1) = join(complement(join(X0,X1)),complement(join(complement(X0),X1))),
inference(superposition,[],[f1013,f1]) ).
fof(f1531,plain,
! [X0,X1] : join(X1,complement(X0)) = join(X1,complement(join(X0,X1))),
inference(superposition,[],[f1222,f1]) ).
fof(f1541,plain,
! [X0] : join(X0,complement(converse(top))) = join(X0,complement(converse(complement(converse(X0))))),
inference(superposition,[],[f1222,f106]) ).
fof(f1546,plain,
! [X0,X1] : join(complement(join(X0,X1)),complement(complement(join(complement(X1),X0)))) = join(complement(join(X0,X1)),complement(complement(X0))),
inference(superposition,[],[f1222,f1013]) ).
fof(f1572,plain,
! [X2,X0,X1] : join(X0,join(complement(join(X0,X1)),X2)) = join(X2,join(X0,complement(X1))),
inference(superposition,[],[f163,f1222]) ).
fof(f1616,plain,
! [X0,X1] : join(complement(join(X0,X1)),complement(complement(join(complement(X1),X0)))) = join(complement(complement(X0)),complement(join(X0,X1))),
inference(forward_demodulation,[],[f1546,f1]) ).
fof(f1621,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = X0,
inference(forward_demodulation,[],[f1541,f878]) ).
fof(f1647,plain,
! [X0,X1] : join(X0,complement(join(X0,X1))) = join(complement(join(X0,X1)),complement(complement(join(complement(X1),X0)))),
inference(forward_demodulation,[],[f1616,f977]) ).
fof(f1671,plain,
! [X0,X1] : join(X0,complement(join(X0,X1))) = join(complement(join(X0,X1)),join(complement(X1),X0)),
inference(forward_demodulation,[],[f1647,f1002]) ).
fof(f1686,plain,
! [X0,X1] : join(X0,complement(join(X0,X1))) = join(X0,join(complement(join(X0,X1)),complement(X1))),
inference(forward_demodulation,[],[f1671,f163]) ).
fof(f1694,plain,
! [X0,X1] : join(X0,complement(join(X0,X1))) = join(complement(X1),join(X0,complement(X1))),
inference(forward_demodulation,[],[f1686,f1572]) ).
fof(f1700,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f1694,f1190]) ).
fof(f2239,plain,
! [X0,X1] : complement(join(X0,complement(join(X1,X0)))) = join(complement(top),complement(join(join(X0,complement(join(X1,X0))),complement(X1)))),
inference(superposition,[],[f1011,f164]) ).
fof(f2386,plain,
! [X0,X1] : complement(join(X0,complement(join(X1,X0)))) = join(complement(top),complement(join(complement(X1),join(X0,complement(join(X1,X0)))))),
inference(forward_demodulation,[],[f2239,f1]) ).
fof(f2445,plain,
! [X0,X1] : complement(join(X0,complement(join(X1,X0)))) = join(complement(top),complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f2386,f918]) ).
fof(f2488,plain,
! [X0,X1] : complement(join(X0,complement(join(X1,X0)))) = join(zero,complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f2445,f22]) ).
fof(f2524,plain,
! [X0,X1] : complement(join(complement(X1),X0)) = complement(join(X0,complement(join(X1,X0)))),
inference(forward_demodulation,[],[f2488,f945]) ).
fof(f2555,plain,
! [X0,X1] : complement(join(complement(X1),X0)) = complement(join(X0,complement(X1))),
inference(forward_demodulation,[],[f2524,f1531]) ).
fof(f3485,plain,
! [X0] : complement(complement(converse(complement(converse(complement(X0)))))) = join(complement(join(X0,complement(converse(complement(converse(complement(X0))))))),complement(complement(X0))),
inference(superposition,[],[f1232,f1621]) ).
fof(f3486,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(complement(converse(complement(converse(converse(X0))))))),
inference(superposition,[],[f36,f1621]) ).
fof(f3490,plain,
! [X0] : join(X0,converse(complement(converse(complement(X0))))) = X0,
inference(forward_demodulation,[],[f3486,f10]) ).
fof(f3491,plain,
! [X0] : complement(complement(converse(complement(converse(complement(X0)))))) = join(complement(complement(X0)),complement(join(X0,complement(converse(complement(converse(complement(X0)))))))),
inference(forward_demodulation,[],[f3485,f1]) ).
fof(f3512,plain,
! [X0] : complement(complement(converse(complement(converse(complement(X0)))))) = join(X0,complement(join(X0,complement(converse(complement(converse(complement(X0)))))))),
inference(forward_demodulation,[],[f3491,f977]) ).
fof(f3524,plain,
! [X0] : complement(complement(converse(complement(converse(complement(X0)))))) = join(X0,complement(complement(converse(complement(converse(complement(X0))))))),
inference(forward_demodulation,[],[f3512,f1222]) ).
fof(f3530,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(X0,converse(complement(converse(complement(X0))))),
inference(forward_demodulation,[],[f3524,f1002]) ).
fof(f3534,plain,
! [X0] : converse(complement(converse(complement(X0)))) = X0,
inference(forward_demodulation,[],[f3530,f3490]) ).
fof(f3539,plain,
! [X0] : complement(X0) = converse(complement(converse(X0))),
inference(superposition,[],[f3534,f1002]) ).
fof(f3575,plain,
! [X0] : complement(converse(X0)) = converse(complement(X0)),
inference(superposition,[],[f10,f3539]) ).
fof(f3581,plain,
! [X0,X1] : join(complement(converse(X0)),converse(X1)) = converse(join(complement(X0),X1)),
inference(superposition,[],[f36,f3539]) ).
fof(f3582,plain,
! [X0,X1] : join(converse(X1),complement(converse(X0))) = converse(join(X1,complement(X0))),
inference(superposition,[],[f37,f3539]) ).
fof(f3604,plain,
! [X0,X1] : converse(complement(join(complement(X0),X1))) = complement(converse(join(X1,complement(X0)))),
inference(superposition,[],[f3575,f2555]) ).
fof(f3633,plain,
! [X0,X1] : complement(converse(join(X1,complement(X0)))) = complement(converse(join(complement(X0),X1))),
inference(forward_demodulation,[],[f3604,f3575]) ).
fof(f4606,plain,
! [X0,X1] : converse(join(complement(X0),complement(X1))) = join(complement(converse(X0)),complement(converse(X1))),
inference(superposition,[],[f3582,f3575]) ).
fof(f7078,plain,
! [X0,X1] : join(complement(converse(X1)),complement(converse(X0))) = join(complement(converse(X0)),complement(converse(join(complement(X0),X1)))),
inference(superposition,[],[f1700,f3581]) ).
fof(f7101,plain,
! [X0,X1] : join(complement(converse(X1)),complement(converse(X0))) = converse(join(complement(X0),complement(join(complement(X0),X1)))),
inference(forward_demodulation,[],[f7078,f4606]) ).
fof(f7150,plain,
! [X0,X1] : converse(join(complement(X0),complement(X1))) = join(complement(converse(X1)),complement(converse(X0))),
inference(forward_demodulation,[],[f7101,f1222]) ).
fof(f7241,plain,
converse(complement(join(complement(sk1),complement(sk2)))) != complement(converse(join(complement(sk2),complement(sk1)))),
inference(superposition,[],[f18,f7150]) ).
fof(f7335,plain,
converse(complement(join(complement(sk1),complement(sk2)))) != complement(converse(join(complement(sk1),complement(sk2)))),
inference(forward_demodulation,[],[f7241,f3633]) ).
fof(f7398,plain,
$false,
inference(forward_subsumption_resolution,[],[f7335,f3575]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : REL005-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.35 % Computer : n005.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sun Sep 27 22:49:47 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 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
% 4.66/1.67 % (262438)Detected a unit-equality problem, will run specialized UEQ schedule.
% 4.66/1.67 % (262444)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=2840585239:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 4.66/1.67 % (262447)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=104248986:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 4.66/1.67 % (262449)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1381772502:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 4.66/1.67 % (262448)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3948426299:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 4.66/1.67 % (262445)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2779828123:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 4.66/1.67 % (262446)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=602991165:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 4.66/1.67 % (262443)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=2465863025:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 4.66/1.67 % (262446)Instruction limit reached!
% 4.66/1.67 % (262446)------------------------------
% 4.66/1.67 % (262446)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.66/1.67 % (262446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.66/1.67 % (262446)CaDiCaL version: 2.1.3
% 4.66/1.67 % (262446)Termination reason: Instruction limit
% 4.66/1.67 % (262446)Termination phase: Saturation
% 4.66/1.67 % (262446)Time elapsed: 0.084 s
% 4.66/1.67 % (262446)Peak memory usage: 89 MB
% 4.66/1.67 % (262446)Instructions burned: 136 (million)
% 4.66/1.67 % (262447)Instruction limit reached!
% 4.66/1.67 % (262447)------------------------------
% 4.66/1.67 % (262447)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.66/1.67 % (262447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.66/1.67 % (262447)CaDiCaL version: 2.1.3
% 4.66/1.67 % (262447)Termination reason: Instruction limit
% 4.66/1.67 % (262447)Termination phase: Saturation
% 4.66/1.67 % (262447)Time elapsed: 0.105 s
% 4.66/1.67 % (262447)Peak memory usage: 89 MB
% 4.66/1.67 % (262447)Instructions burned: 182 (million)
% 4.66/1.67 % (262448)Instruction limit reached!
% 4.66/1.67 % (262448)------------------------------
% 4.66/1.67 % (262448)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.66/1.67 % (262448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.66/1.67 % (262448)CaDiCaL version: 2.1.3
% 4.66/1.67 % (262448)Termination reason: Instruction limit
% 4.66/1.67 % (262448)Termination phase: Saturation
% 4.66/1.67 % (262448)Time elapsed: 0.166 s
% 4.66/1.67 % (262448)Peak memory usage: 90 MB
% 4.66/1.67 % (262448)Instructions burned: 258 (million)
% 4.66/1.67 % (262457)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1350283192:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 4.66/1.67 % (262458)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2758051037:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 4.66/1.67 % (262459)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=1166476173:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 4.66/1.67 % (262459)Instruction limit reached!
% 4.66/1.67 % (262459)------------------------------
% 4.66/1.67 % (262459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.66/1.67 % (262459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.66/1.67 % (262459)CaDiCaL version: 2.1.3
% 4.66/1.67 % (262459)Termination reason: Instruction limit
% 4.66/1.67 % (262459)Termination phase: Saturation
% 4.66/1.67 % (262459)Time elapsed: 0.115 s
% 4.66/1.67 % (262459)Peak memory usage: 90 MB
% 4.66/1.67 % (262459)Instructions burned: 216 (million)
% 4.66/1.67 % (262444)First to succeed.
% 4.66/1.67 % (262444)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-262438"
% 4.66/1.67 % (262463)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=2691307806: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)
% 4.66/1.67 % (262444)Refutation found. Thanks to Tanya!
% 4.66/1.67 % SZS status Unsatisfiable for theBenchmark
% 4.66/1.67 % SZS output start Proof for theBenchmark
% See solution above
% 6.45/1.87 % (262444)------------------------------
% 6.45/1.87 % (262444)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.45/1.87 % (262444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.45/1.87 % (262444)CaDiCaL version: 2.1.3
% 6.45/1.87 % (262444)Termination reason: Refutation
% 6.45/1.87 % (262444)Time elapsed: 0.541 s
% 6.45/1.87 % (262444)Peak memory usage: 133 MB
% 6.45/1.87 % (262444)Instructions burned: 1453 (million)
% 6.45/1.87 % (262444)------------------------------
% 6.45/1.87 % (262444)------------------------------
% 6.45/1.87 % (262438)Success in time 0.833 s
% 6.45/1.87 % Vampire exiting
%------------------------------------------------------------------------------