%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL027-1 : 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 : n011.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 12:33:52 PM UTC 2026
% Result : Unsatisfiable 9.89s 2.30s
% Output : Refutation 10.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 14
% Syntax : Number of formulae : 114 ( 114 unt; 0 def)
% Number of atoms : 114 ( 113 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 172 ( 172 !; 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(f9,axiom,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_distributivity_7) ).
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,
join(sk1,one) = one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_14) ).
fof(f18,plain,
one = join(sk1,one),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
meet(complement(composition(sk1,top)),one) != meet(complement(sk1),one),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_15) ).
fof(f20,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(backward_demodulation,[],[f4,f1]) ).
fof(f21,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(backward_demodulation,[],[f14,f1]) ).
fof(f22,plain,
one = join(one,sk1),
inference(backward_demodulation,[],[f18,f1]) ).
fof(f23,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),meet(X0,X1)) = X0,
inference(forward_demodulation,[],[f20,f6]) ).
fof(f24,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f23,f1]) ).
fof(f25,plain,
! [X2,X0,X1] : meet(join(complement(X0),complement(X1)),X2) = complement(join(meet(X0,X1),complement(X2))),
inference(superposition,[],[f6,f6]) ).
fof(f26,plain,
! [X2,X0,X1] : meet(X2,join(complement(X0),complement(X1))) = complement(join(complement(X2),meet(X0,X1))),
inference(superposition,[],[f6,f6]) ).
fof(f28,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
inference(superposition,[],[f6,f1]) ).
fof(f29,plain,
! [X0,X1] : zero = meet(join(complement(X0),complement(X1)),meet(X0,X1)),
inference(superposition,[],[f16,f6]) ).
fof(f30,plain,
! [X0,X1] : zero = complement(join(meet(X0,X1),complement(meet(X0,X1)))),
inference(forward_demodulation,[],[f29,f25]) ).
fof(f31,plain,
zero = complement(top),
inference(forward_demodulation,[],[f30,f15]) ).
fof(f32,plain,
! [X0,X1] : top = join(join(complement(X0),complement(X1)),meet(X0,X1)),
inference(superposition,[],[f15,f6]) ).
fof(f35,plain,
! [X0,X1] : top = join(meet(X0,X1),join(complement(X0),complement(X1))),
inference(forward_demodulation,[],[f32,f1]) ).
fof(f43,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f12,f10]) ).
fof(f47,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f43,f8]) ).
fof(f55,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f47,f10]) ).
fof(f67,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f9,f12]) ).
fof(f78,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(one,X0))),
inference(superposition,[],[f21,f55]) ).
fof(f79,plain,
one = converse(one),
inference(superposition,[],[f8,f55]) ).
fof(f81,plain,
! [X0,X1] : composition(join(converse(one),X1),X0) = join(X0,composition(X1,X0)),
inference(superposition,[],[f9,f55]) ).
fof(f83,plain,
! [X0,X1] : join(X0,composition(X1,X0)) = composition(join(one,X1),X0),
inference(backward_demodulation,[],[f81,f79]) ).
fof(f84,plain,
! [X0] : composition(one,X0) = X0,
inference(backward_demodulation,[],[f55,f79]) ).
fof(f86,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(backward_demodulation,[],[f78,f84]) ).
fof(f96,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[],[f24,f16]) ).
fof(f97,plain,
! [X2,X0,X1] : join(complement(X0),complement(X1)) = join(meet(join(complement(X0),complement(X1)),X2),complement(join(meet(X0,X1),X2))),
inference(superposition,[],[f24,f6]) ).
fof(f100,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(X1,complement(X0)))) = X0,
inference(superposition,[],[f24,f1]) ).
fof(f101,plain,
! [X0] : join(meet(X0,complement(complement(X0))),complement(top)) = X0,
inference(superposition,[],[f24,f15]) ).
fof(f104,plain,
! [X0] : join(complement(top),meet(X0,complement(complement(X0)))) = X0,
inference(forward_demodulation,[],[f101,f1]) ).
fof(f106,plain,
! [X2,X0,X1] : join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),X2)),meet(join(complement(X0),complement(X1)),X2)),
inference(forward_demodulation,[],[f97,f1]) ).
fof(f107,plain,
! [X0] : join(zero,meet(X0,X0)) = X0,
inference(forward_demodulation,[],[f96,f6]) ).
fof(f108,plain,
! [X0] : join(zero,meet(X0,complement(complement(X0)))) = X0,
inference(forward_demodulation,[],[f104,f31]) ).
fof(f109,plain,
! [X2,X0,X1] : join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),X2)),complement(join(meet(X0,X1),complement(X2)))),
inference(forward_demodulation,[],[f106,f25]) ).
fof(f115,plain,
! [X0,X1] : join(complement(X0),X1) = join(meet(join(complement(X0),X1),meet(X0,X1)),complement(X0)),
inference(superposition,[],[f100,f24]) ).
fof(f120,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),meet(join(complement(X0),X1),meet(X0,X1))),
inference(forward_demodulation,[],[f115,f1]) ).
fof(f135,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),meet(X0,X1))),complement(top)),
inference(superposition,[],[f109,f15]) ).
fof(f140,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(top),complement(join(meet(X0,X1),meet(X0,X1)))),
inference(forward_demodulation,[],[f135,f1]) ).
fof(f146,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,complement(join(meet(X0,X1),meet(X0,X1)))),
inference(forward_demodulation,[],[f140,f31]) ).
fof(f149,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f2,f15]) ).
fof(f163,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X1,join(X2,X0)),
inference(superposition,[],[f1,f2]) ).
fof(f165,plain,
! [X0,X1] : top = join(complement(X0),join(complement(X1),meet(X0,X1))),
inference(backward_demodulation,[],[f35,f163]) ).
fof(f174,plain,
! [X0,X1] : join(meet(X0,join(complement(X1),meet(X0,X1))),complement(top)) = X0,
inference(superposition,[],[f24,f165]) ).
fof(f177,plain,
! [X0,X1] : join(complement(top),meet(X0,join(complement(X1),meet(X0,X1)))) = X0,
inference(forward_demodulation,[],[f174,f1]) ).
fof(f181,plain,
! [X0,X1] : join(zero,meet(X0,join(complement(X1),meet(X0,X1)))) = X0,
inference(forward_demodulation,[],[f177,f31]) ).
fof(f184,plain,
! [X0,X1] : meet(X0,X1) = join(meet(X0,X1),meet(X0,X1)),
inference(superposition,[],[f86,f6]) ).
fof(f185,plain,
! [X0] : complement(complement(X0)) = meet(X0,X0),
inference(superposition,[],[f6,f86]) ).
fof(f188,plain,
! [X0] : join(zero,complement(complement(X0))) = X0,
inference(backward_demodulation,[],[f107,f185]) ).
fof(f189,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,complement(meet(X0,X1))),
inference(backward_demodulation,[],[f146,f184]) ).
fof(f248,plain,
! [X0] : join(complement(X0),complement(X0)) = join(complement(X0),meet(join(complement(X0),complement(X0)),zero)),
inference(superposition,[],[f120,f16]) ).
fof(f255,plain,
! [X0] : join(complement(X0),complement(X0)) = join(complement(X0),complement(join(meet(X0,X0),complement(zero)))),
inference(forward_demodulation,[],[f248,f25]) ).
fof(f260,plain,
! [X0] : join(complement(X0),complement(X0)) = join(complement(X0),complement(join(complement(zero),meet(X0,X0)))),
inference(forward_demodulation,[],[f255,f1]) ).
fof(f261,plain,
! [X0] : join(complement(X0),complement(X0)) = join(complement(X0),complement(join(complement(zero),complement(complement(X0))))),
inference(forward_demodulation,[],[f260,f185]) ).
fof(f262,plain,
! [X0] : join(complement(X0),complement(X0)) = join(complement(X0),meet(zero,complement(X0))),
inference(forward_demodulation,[],[f261,f6]) ).
fof(f263,plain,
! [X0] : complement(X0) = join(complement(X0),meet(zero,complement(X0))),
inference(forward_demodulation,[],[f262,f86]) ).
fof(f267,plain,
! [X0] : join(X0,complement(X0)) = join(top,complement(X0)),
inference(superposition,[],[f149,f86]) ).
fof(f273,plain,
! [X0] : join(X0,top) = join(top,complement(complement(X0))),
inference(superposition,[],[f149,f15]) ).
fof(f287,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[],[f267,f15]) ).
fof(f292,plain,
! [X0] : top = join(X0,top),
inference(backward_demodulation,[],[f273,f287]) ).
fof(f304,plain,
! [X0] : top = join(top,X0),
inference(superposition,[],[f1,f292]) ).
fof(f341,plain,
! [X0] : complement(join(zero,complement(X0))) = meet(top,X0),
inference(superposition,[],[f6,f31]) ).
fof(f364,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f67,f12]) ).
fof(f372,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f364,f11]) ).
fof(f379,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f372,f11]) ).
fof(f384,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f379,f12]) ).
fof(f456,plain,
! [X2,X0,X1] : join(composition(X1,X0),composition(X1,X2)) = converse(converse(composition(X1,join(X0,X2)))),
inference(superposition,[],[f10,f384]) ).
fof(f473,plain,
! [X2,X0,X1] : join(composition(X1,X0),composition(X1,X2)) = composition(X1,join(X0,X2)),
inference(forward_demodulation,[],[f456,f10]) ).
fof(f592,plain,
! [X0] : composition(one,X0) = join(X0,composition(sk1,X0)),
inference(superposition,[],[f83,f22]) ).
fof(f627,plain,
! [X0] : join(X0,composition(sk1,X0)) = X0,
inference(forward_demodulation,[],[f592,f84]) ).
fof(f642,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(composition(sk1,X0),X1)),
inference(superposition,[],[f2,f627]) ).
fof(f1052,plain,
! [X0] : join(zero,meet(X0,join(complement(X0),complement(complement(X0))))) = X0,
inference(superposition,[],[f181,f185]) ).
fof(f1063,plain,
! [X0] : join(zero,complement(join(complement(X0),meet(X0,complement(X0))))) = X0,
inference(forward_demodulation,[],[f1052,f26]) ).
fof(f1066,plain,
! [X0] : join(zero,complement(join(complement(X0),zero))) = X0,
inference(forward_demodulation,[],[f1063,f16]) ).
fof(f1068,plain,
! [X0] : join(zero,complement(join(zero,complement(X0)))) = X0,
inference(forward_demodulation,[],[f1066,f1]) ).
fof(f1069,plain,
! [X0] : join(zero,meet(top,X0)) = X0,
inference(forward_demodulation,[],[f1068,f341]) ).
fof(f1074,plain,
! [X0,X1] : join(X1,composition(sk1,X0)) = join(X1,composition(sk1,join(X1,X0))),
inference(superposition,[],[f642,f473]) ).
fof(f1121,plain,
! [X0] : join(X0,composition(sk1,top)) = join(X0,composition(sk1,complement(X0))),
inference(superposition,[],[f1074,f15]) ).
fof(f1383,plain,
top = join(zero,meet(top,complement(zero))),
inference(superposition,[],[f108,f31]) ).
fof(f1393,plain,
top = complement(zero),
inference(forward_demodulation,[],[f1383,f1069]) ).
fof(f1409,plain,
! [X0] : complement(join(top,complement(X0))) = meet(zero,X0),
inference(superposition,[],[f6,f1393]) ).
fof(f1442,plain,
! [X0] : complement(top) = meet(zero,X0),
inference(forward_demodulation,[],[f1409,f304]) ).
fof(f1449,plain,
! [X0] : zero = meet(zero,X0),
inference(forward_demodulation,[],[f1442,f31]) ).
fof(f1455,plain,
! [X0] : complement(X0) = join(complement(X0),zero),
inference(backward_demodulation,[],[f263,f1449]) ).
fof(f1475,plain,
! [X0] : complement(X0) = join(zero,complement(X0)),
inference(forward_demodulation,[],[f1455,f1]) ).
fof(f1500,plain,
! [X0] : complement(complement(X0)) = X0,
inference(backward_demodulation,[],[f188,f1475]) ).
fof(f1501,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(backward_demodulation,[],[f189,f1475]) ).
fof(f1526,plain,
! [X0,X1] : meet(X0,X1) = complement(complement(meet(X1,X0))),
inference(backward_demodulation,[],[f28,f1501]) ).
fof(f1638,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(forward_demodulation,[],[f1526,f1500]) ).
fof(f1693,plain,
meet(complement(composition(sk1,top)),one) != meet(one,complement(sk1)),
inference(backward_demodulation,[],[f19,f1638]) ).
fof(f1718,plain,
meet(one,complement(sk1)) != meet(one,complement(composition(sk1,top))),
inference(forward_demodulation,[],[f1693,f1638]) ).
fof(f1791,plain,
! [X0] : join(complement(X0),composition(sk1,top)) = join(complement(X0),composition(sk1,X0)),
inference(superposition,[],[f1121,f1500]) ).
fof(f2127,plain,
! [X0,X1] : join(complement(X1),X0) = complement(meet(X1,complement(X0))),
inference(superposition,[],[f1501,f1500]) ).
fof(f2383,plain,
! [X0,X1] : meet(X1,complement(X0)) = complement(join(complement(X1),X0)),
inference(superposition,[],[f1500,f2127]) ).
fof(f2684,plain,
! [X0] : complement(join(complement(X0),composition(sk1,X0))) = meet(X0,complement(composition(sk1,top))),
inference(superposition,[],[f2383,f1791]) ).
fof(f2751,plain,
! [X0] : meet(X0,complement(composition(sk1,X0))) = meet(X0,complement(composition(sk1,top))),
inference(forward_demodulation,[],[f2684,f2383]) ).
fof(f2784,plain,
meet(one,complement(sk1)) != meet(one,complement(composition(sk1,one))),
inference(backward_demodulation,[],[f1718,f2751]) ).
fof(f2795,plain,
meet(one,complement(sk1)) != meet(one,complement(sk1)),
inference(forward_demodulation,[],[f2784,f8]) ).
fof(f2796,plain,
$false,
inference(trivial_inequality_removal,[],[f2795]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : REL027-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.46 % Computer : n011.cluster.edu
% 0.21/0.46 % Model : x86_64 x86_64
% 0.21/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.46 % Memory : 8046.5625MB
% 0.21/0.46 % OS : Linux 6.8.0-71-generic
% 0.21/0.46 % CPULimit : 300
% 0.21/0.46 % WCLimit : 300
% 0.21/0.46 % DateTime : Sun Sep 27 22:53:16 UTC 2026
% 0.21/0.47 % CPUTime :
% 0.21/0.47 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.53 Running first-order theorem proving
% 0.26/0.53 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
% 9.16/2.30 % (2853558)Detected a unit-equality problem, will run specialized UEQ schedule.
% 9.16/2.30 % (2853697)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=862889675:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 9.16/2.30 % (2853691)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1749458396:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 9.16/2.30 % (2853689)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=3634976291:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 9.16/2.30 % (2853693)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1481312981:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 9.16/2.30 % (2853687)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=2580172660:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 9.16/2.30 % (2853699)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=363474860:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 9.16/2.30 % (2853695)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1524560823:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 9.16/2.30 % (2853697)Instruction limit reached!
% 9.16/2.30 % (2853697)------------------------------
% 9.16/2.30 % (2853697)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.16/2.30 % (2853697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.16/2.30 % (2853697)CaDiCaL version: 2.1.3
% 9.16/2.30 % (2853697)Termination reason: Instruction limit
% 9.16/2.30 % (2853697)Termination phase: Saturation
% 9.16/2.30 % (2853697)Time elapsed: 0.092 s
% 9.16/2.30 % (2853697)Peak memory usage: 90 MB
% 9.16/2.30 % (2853697)Instructions burned: 259 (million)
% 9.16/2.30 % (2853693)Instruction limit reached!
% 9.16/2.30 % (2853693)------------------------------
% 9.16/2.30 % (2853693)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.16/2.30 % (2853693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.16/2.30 % (2853693)CaDiCaL version: 2.1.3
% 9.16/2.30 % (2853693)Termination reason: Instruction limit
% 9.16/2.30 % (2853693)Termination phase: Saturation
% 9.16/2.30 % (2853693)Time elapsed: 0.083 s
% 9.16/2.30 % (2853693)Peak memory usage: 88 MB
% 9.16/2.30 % (2853693)Instructions burned: 136 (million)
% 9.16/2.30 % (2853695)Instruction limit reached!
% 9.16/2.30 % (2853695)------------------------------
% 9.16/2.30 % (2853695)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.16/2.30 % (2853695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.16/2.30 % (2853695)CaDiCaL version: 2.1.3
% 9.16/2.30 % (2853695)Termination reason: Instruction limit
% 9.16/2.30 % (2853695)Termination phase: Saturation
% 9.16/2.30 % (2853695)Time elapsed: 0.105 s
% 9.16/2.30 % (2853695)Peak memory usage: 89 MB
% 9.16/2.30 % (2853695)Instructions burned: 182 (million)
% 9.16/2.30 % (2853729)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=2269549030:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 9.16/2.30 % (2853730)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1031685511:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 9.16/2.30 % (2853731)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=586118601:i=215:ep=RSTC_2997 on theBenchmark for (2997ds/215Mi)
% 9.16/2.30 % (2853731)Instruction limit reached!
% 9.16/2.30 % (2853731)------------------------------
% 9.16/2.30 % (2853731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.16/2.30 % (2853731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.16/2.30 % (2853731)CaDiCaL version: 2.1.3
% 9.16/2.30 % (2853731)Termination reason: Instruction limit
% 9.16/2.30 % (2853731)Termination phase: Saturation
% 9.16/2.30 % (2853731)Time elapsed: 0.123 s
% 9.16/2.30 % (2853731)Peak memory usage: 92 MB
% 9.16/2.30 % (2853731)Instructions burned: 216 (million)
% 9.16/2.30 % (2853735)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=2500694445:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2994 on theBenchmark for (2994ds/317Mi)
% 9.16/2.30 % (2853699)Instruction limit reached!
% 9.16/2.30 % (2853699)------------------------------
% 9.16/2.30 % (2853699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.16/2.30 % (2853699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.16/2.30 % (2853699)CaDiCaL version: 2.1.3
% 9.16/2.30 % (2853699)Termination reason: Instruction limit
% 9.16/2.30 % (2853699)Termination phase: Saturation
% 9.16/2.30 % (2853699)Time elapsed: 0.652 s
% 9.16/2.30 % (2853699)Peak memory usage: 100 MB
% 9.16/2.30 % (2853699)Instructions burned: 1189 (million)
% 9.16/2.30 % (2853735)Instruction limit reached!
% 9.16/2.30 % (2853735)------------------------------
% 9.16/2.30 % (2853735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.89/2.30 % (2853735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.89/2.30 % (2853735)CaDiCaL version: 2.1.3
% 9.89/2.30 % (2853735)Termination reason: Instruction limit
% 9.89/2.30 % (2853735)Termination phase: Saturation
% 9.89/2.30 % (2853735)Time elapsed: 0.188 s
% 9.89/2.30 % (2853735)Peak memory usage: 93 MB
% 9.89/2.30 % (2853735)Instructions burned: 317 (million)
% 9.89/2.30 % (2853737)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=2099647790:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2991 on theBenchmark for (2991ds/12125Mi)
% 9.89/2.30 % (2853738)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=3302030387:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2991 on theBenchmark for (2991ds/2836Mi)
% 9.89/2.30 % (2853729)First to succeed.
% 9.89/2.30 % (2853729)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2853558"
% 9.89/2.30 % (2853687)Also succeeded, but the first one will report.
% 9.89/2.30 % (2853691)Also succeeded, but the first one will report.
% 9.89/2.30 % (2853729)Refutation found. Thanks to Tanya!
% 9.89/2.30 % SZS status Unsatisfiable for theBenchmark
% 9.89/2.30 % SZS output start Proof for theBenchmark
% See solution above
% 10.12/2.50 % (2853729)------------------------------
% 10.12/2.50 % (2853729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.12/2.50 % (2853729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.12/2.50 % (2853729)CaDiCaL version: 2.1.3
% 10.12/2.50 % (2853729)Termination reason: Refutation
% 10.12/2.50 % (2853729)Time elapsed: 0.768 s
% 10.12/2.50 % (2853729)Peak memory usage: 134 MB
% 10.12/2.50 % (2853729)Instructions burned: 1519 (million)
% 10.12/2.50 % (2853729)------------------------------
% 10.12/2.50 % (2853729)------------------------------
% 10.12/2.50 % (2853558)Success in time 1.331 s
% 10.12/2.50 % Vampire exiting
%------------------------------------------------------------------------------