%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL026-1 : 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 : n009.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 12:33:51 PM UTC 2026
% Result : Unsatisfiable 13.03s 2.78s
% Output : Refutation 14.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 14
% Syntax : Number of formulae : 113 ( 113 unt; 0 def)
% Number of atoms : 113 ( 112 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 8 ( 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 : 167 ( 167 !; 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(composition(sk1,top),sk2) != composition(sk1,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_15) ).
fof(f20,plain,
composition(sk1,sk2) != complement(join(complement(composition(sk1,top)),complement(sk2))),
inference(definition_unfolding,[],[f19,f6]) ).
fof(f21,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f16,f6]) ).
fof(f22,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f4,f1]) ).
fof(f23,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(forward_demodulation,[],[f14,f1]) ).
fof(f24,plain,
composition(sk1,sk2) != complement(join(complement(sk2),complement(composition(sk1,top)))),
inference(forward_demodulation,[],[f20,f1]) ).
fof(f25,plain,
one = join(one,sk1),
inference(forward_demodulation,[],[f18,f1]) ).
fof(f28,plain,
! [X0,X1] : join(complement(join(X0,complement(X1))),complement(join(complement(X1),complement(X0)))) = X1,
inference(superposition,[],[f22,f1]) ).
fof(f29,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1)))),complement(X0)),
inference(superposition,[],[f22,f22]) ).
fof(f32,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,[],[f29,f1]) ).
fof(f33,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),complement(join(join(complement(X0),complement(X1)),complement(join(complement(X0),X1))))),
inference(forward_demodulation,[],[f32,f1]) ).
fof(f34,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),complement(join(complement(X0),join(complement(X1),complement(join(complement(X0),X1)))))),
inference(forward_demodulation,[],[f33,f2]) ).
fof(f128,plain,
zero = complement(top),
inference(superposition,[],[f21,f15]) ).
fof(f177,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f12,f10]) ).
fof(f179,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(f183,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f179,f12]) ).
fof(f188,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f183,f11]) ).
fof(f191,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f188,f11]) ).
fof(f193,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f191,f12]) ).
fof(f198,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f177,f8]) ).
fof(f208,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f198,f10]) ).
fof(f214,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f11,f10]) ).
fof(f229,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f10,f193]) ).
fof(f241,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f229,f10]) ).
fof(f254,plain,
! [X0,X1] : composition(X0,join(one,X1)) = join(X0,composition(X0,X1)),
inference(superposition,[],[f241,f8]) ).
fof(f265,plain,
! [X0] : composition(X0,one) = join(X0,composition(X0,sk1)),
inference(superposition,[],[f254,f25]) ).
fof(f295,plain,
! [X0] : join(X0,composition(X0,sk1)) = X0,
inference(forward_demodulation,[],[f265,f8]) ).
fof(f321,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f2,f15]) ).
fof(f325,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(complement(join(complement(X0),complement(X1))),X2)),
inference(superposition,[],[f2,f22]) ).
fof(f340,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f1,f2]) ).
fof(f371,plain,
! [X0,X1] : join(X1,complement(join(complement(X0),complement(complement(X1))))) = join(complement(join(complement(X1),X0)),X0),
inference(superposition,[],[f325,f28]) ).
fof(f392,plain,
! [X0,X1] : join(X1,complement(join(complement(X0),complement(complement(X1))))) = join(X0,complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f371,f1]) ).
fof(f428,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(X0,complement(composition(converse(X0),X1)))),
inference(superposition,[],[f23,f10]) ).
fof(f493,plain,
one = converse(one),
inference(superposition,[],[f8,f208]) ).
fof(f623,plain,
! [X0,X1] : join(top,complement(join(complement(X0),complement(X1)))) = join(join(X1,complement(X0)),X0),
inference(superposition,[],[f321,f28]) ).
fof(f628,plain,
! [X0,X1] : join(top,X0) = join(X1,join(X0,complement(X1))),
inference(superposition,[],[f321,f1]) ).
fof(f661,plain,
! [X0,X1] : join(top,complement(join(complement(X0),complement(X1)))) = join(X0,join(X1,complement(X0))),
inference(forward_demodulation,[],[f623,f1]) ).
fof(f669,plain,
! [X0,X1] : join(top,X1) = join(top,complement(join(complement(X0),complement(X1)))),
inference(forward_demodulation,[],[f661,f628]) ).
fof(f688,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(composition(converse(X0),sk1))),
inference(superposition,[],[f214,f295]) ).
fof(f699,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(converse(sk1),X0)),
inference(forward_demodulation,[],[f688,f177]) ).
fof(f706,plain,
! [X0] : join(X0,composition(converse(sk1),X0)) = X0,
inference(forward_demodulation,[],[f699,f10]) ).
fof(f732,plain,
! [X0] : composition(X0,one) = join(X0,composition(X0,composition(converse(sk1),one))),
inference(superposition,[],[f254,f706]) ).
fof(f735,plain,
! [X0] : composition(X0,one) = join(X0,composition(X0,converse(sk1))),
inference(forward_demodulation,[],[f732,f8]) ).
fof(f746,plain,
! [X0] : join(X0,composition(X0,converse(sk1))) = X0,
inference(forward_demodulation,[],[f735,f8]) ).
fof(f771,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(composition(converse(X0),converse(sk1)))),
inference(superposition,[],[f214,f746]) ).
fof(f772,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(converse(converse(sk1)),X0)),
inference(forward_demodulation,[],[f771,f177]) ).
fof(f789,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(sk1,X0)),
inference(forward_demodulation,[],[f772,f10]) ).
fof(f796,plain,
! [X0] : join(X0,composition(sk1,X0)) = X0,
inference(forward_demodulation,[],[f789,f10]) ).
fof(f801,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(composition(sk1,X0),X1)),
inference(superposition,[],[f340,f796]) ).
fof(f803,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(composition(sk1,X0),X1)),
inference(superposition,[],[f2,f796]) ).
fof(f829,plain,
! [X0,X1] : join(X0,composition(sk1,X1)) = join(X0,composition(sk1,join(X0,X1))),
inference(superposition,[],[f803,f241]) ).
fof(f836,plain,
! [X0] : join(X0,top) = join(X0,complement(composition(sk1,X0))),
inference(superposition,[],[f803,f15]) ).
fof(f950,plain,
! [X0] : join(X0,composition(sk1,complement(X0))) = join(X0,composition(sk1,top)),
inference(superposition,[],[f829,f15]) ).
fof(f1438,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f208,f493]) ).
fof(f1466,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(converse(one),X0))),
inference(superposition,[],[f428,f1438]) ).
fof(f1471,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f1466,f208]) ).
fof(f1495,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,[],[f325,f1471]) ).
fof(f1496,plain,
! [X0] : join(complement(complement(X0)),complement(join(complement(X0),complement(complement(X0))))) = X0,
inference(superposition,[],[f28,f1471]) ).
fof(f1501,plain,
! [X0] : join(X0,complement(join(complement(complement(complement(X0))),complement(complement(X0))))) = X0,
inference(forward_demodulation,[],[f1496,f392]) ).
fof(f1502,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f1495,f22]) ).
fof(f1512,plain,
! [X0] : join(X0,complement(join(complement(complement(X0)),complement(complement(complement(X0)))))) = X0,
inference(forward_demodulation,[],[f1501,f1]) ).
fof(f1521,plain,
! [X0] : join(X0,zero) = X0,
inference(forward_demodulation,[],[f1512,f21]) ).
fof(f1556,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f1,f1521]) ).
fof(f1593,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(superposition,[],[f1502,f34]) ).
fof(f1614,plain,
! [X0,X1] : join(X0,complement(X0)) = join(top,complement(join(complement(complement(X0)),complement(X1)))),
inference(superposition,[],[f321,f1502]) ).
fof(f1633,plain,
! [X0,X1] : join(X0,complement(X0)) = join(top,X1),
inference(forward_demodulation,[],[f1614,f669]) ).
fof(f1654,plain,
! [X1] : top = join(top,X1),
inference(forward_demodulation,[],[f1633,f15]) ).
fof(f1705,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f1593,f801]) ).
fof(f1818,plain,
! [X0] : top = join(X0,top),
inference(superposition,[],[f801,f1654]) ).
fof(f1820,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(top)))) = X0,
inference(superposition,[],[f28,f1654]) ).
fof(f1826,plain,
! [X0] : join(zero,complement(join(complement(X0),zero))) = X0,
inference(forward_demodulation,[],[f1820,f128]) ).
fof(f1836,plain,
! [X0] : complement(join(complement(X0),zero)) = X0,
inference(forward_demodulation,[],[f1826,f1556]) ).
fof(f1837,plain,
! [X0] : complement(join(zero,complement(X0))) = X0,
inference(forward_demodulation,[],[f1836,f1]) ).
fof(f1838,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f1837,f1556]) ).
fof(f1844,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(X0,complement(X1)))),
inference(superposition,[],[f22,f1838]) ).
fof(f1948,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,[],[f28,f1844]) ).
fof(f1956,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(complement(X0)),complement(join(complement(join(X0,complement(X1))),join(X0,X1)))),
inference(forward_demodulation,[],[f1948,f1838]) ).
fof(f1995,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(complement(X0)),complement(join(join(X0,X1),complement(join(X0,complement(X1)))))),
inference(forward_demodulation,[],[f1956,f1]) ).
fof(f2021,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(complement(X0)),complement(join(X0,join(X1,complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f1995,f2]) ).
fof(f2042,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(complement(X0)),complement(join(X0,X1))),
inference(forward_demodulation,[],[f2021,f1705]) ).
fof(f2056,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f2042,f1838]) ).
fof(f2065,plain,
! [X0,X1] : join(X1,complement(X0)) = join(X1,complement(join(X0,X1))),
inference(superposition,[],[f2056,f1]) ).
fof(f2083,plain,
! [X0] : join(X0,complement(composition(sk1,complement(X0)))) = join(X0,complement(join(X0,composition(sk1,top)))),
inference(superposition,[],[f2056,f950]) ).
fof(f2171,plain,
! [X0] : join(X0,complement(composition(sk1,complement(X0)))) = join(X0,complement(composition(sk1,top))),
inference(forward_demodulation,[],[f2083,f2056]) ).
fof(f2262,plain,
! [X0] : join(complement(composition(sk1,X0)),complement(X0)) = join(complement(composition(sk1,X0)),complement(join(X0,top))),
inference(superposition,[],[f2065,f836]) ).
fof(f2352,plain,
! [X0] : join(complement(composition(sk1,X0)),complement(X0)) = join(complement(join(X0,top)),complement(composition(sk1,X0))),
inference(forward_demodulation,[],[f2262,f1]) ).
fof(f2384,plain,
! [X0] : join(complement(composition(sk1,X0)),complement(X0)) = join(complement(top),complement(composition(sk1,X0))),
inference(forward_demodulation,[],[f2352,f1818]) ).
fof(f2409,plain,
! [X0] : join(complement(composition(sk1,X0)),complement(X0)) = join(zero,complement(composition(sk1,X0))),
inference(forward_demodulation,[],[f2384,f128]) ).
fof(f2426,plain,
! [X0] : complement(composition(sk1,X0)) = join(complement(composition(sk1,X0)),complement(X0)),
inference(forward_demodulation,[],[f2409,f1556]) ).
fof(f2434,plain,
! [X0] : complement(composition(sk1,X0)) = join(complement(X0),complement(composition(sk1,X0))),
inference(forward_demodulation,[],[f2426,f1]) ).
fof(f2801,plain,
! [X0] : complement(composition(sk1,complement(X0))) = join(X0,complement(composition(sk1,complement(X0)))),
inference(superposition,[],[f2434,f1838]) ).
fof(f2883,plain,
! [X0] : complement(composition(sk1,complement(X0))) = join(X0,complement(composition(sk1,top))),
inference(superposition,[],[f2171,f2801]) ).
fof(f3031,plain,
composition(sk1,sk2) != complement(complement(composition(sk1,complement(complement(sk2))))),
inference(superposition,[],[f24,f2883]) ).
fof(f3040,plain,
composition(sk1,sk2) != composition(sk1,complement(complement(sk2))),
inference(forward_demodulation,[],[f3031,f1838]) ).
fof(f3067,plain,
composition(sk1,sk2) != composition(sk1,sk2),
inference(forward_demodulation,[],[f3040,f1838]) ).
fof(f3068,plain,
$false,
inference(trivial_inequality_removal,[],[f3067]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL026-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.41 % Computer : n009.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Sun Sep 27 22:53:00 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.46 Running first-order theorem proving
% 0.14/0.46 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
% 13.03/2.78 % (2493592)Detected a unit-equality problem, will run specialized UEQ schedule.
% 13.03/2.78 % (2493608)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=4022271107:i=1187:sd=4:av=off:ss=axioms:sgt=32_3000 on theBenchmark for (3000ds/1187Mi)
% 13.03/2.78 % (2493606)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3231384028:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_3000 on theBenchmark for (3000ds/181Mi)
% 13.03/2.78 % (2493605)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1783038380:i=136:bd=preordered:ins=2:av=off_3000 on theBenchmark for (3000ds/136Mi)
% 13.03/2.78 % (2493601)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=1788849157:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_3000 on theBenchmark for (3000ds/138329Mi)
% 13.03/2.78 % (2493603)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=32696532:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_3000 on theBenchmark for (3000ds/130716Mi)
% 13.03/2.78 % (2493607)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2173091599:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_3000 on theBenchmark for (3000ds/257Mi)
% 13.03/2.78 % (2493602)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=446789865:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_3000 on theBenchmark for (3000ds/130792Mi)
% 13.03/2.78 % (2493606)Instruction limit reached!
% 13.03/2.78 % (2493606)------------------------------
% 13.03/2.78 % (2493606)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.03/2.78 % (2493606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.03/2.78 % (2493606)CaDiCaL version: 2.1.3
% 13.03/2.78 % (2493606)Termination reason: Instruction limit
% 13.03/2.78 % (2493606)Termination phase: Saturation
% 13.03/2.78 % (2493606)Time elapsed: 0.128 s
% 13.03/2.78 % (2493606)Peak memory usage: 89 MB
% 13.03/2.78 % (2493606)Instructions burned: 181 (million)
% 13.03/2.78 % (2493605)Instruction limit reached!
% 13.03/2.78 % (2493605)------------------------------
% 13.03/2.78 % (2493605)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.03/2.78 % (2493605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.03/2.78 % (2493605)CaDiCaL version: 2.1.3
% 13.03/2.78 % (2493605)Termination reason: Instruction limit
% 13.03/2.78 % (2493605)Termination phase: Saturation
% 13.03/2.78 % (2493605)Time elapsed: 0.133 s
% 13.03/2.78 % (2493605)Peak memory usage: 89 MB
% 13.03/2.78 % (2493605)Instructions burned: 137 (million)
% 13.03/2.78 % (2493619)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3255563219:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2996 on theBenchmark for (2996ds/2051Mi)
% 13.03/2.78 % (2493607)Instruction limit reached!
% 13.03/2.78 % (2493607)------------------------------
% 13.03/2.78 % (2493607)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.03/2.78 % (2493607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.03/2.78 % (2493607)CaDiCaL version: 2.1.3
% 13.03/2.78 % (2493607)Termination reason: Instruction limit
% 13.03/2.78 % (2493607)Termination phase: Saturation
% 13.03/2.78 % (2493607)Time elapsed: 0.278 s
% 13.03/2.78 % (2493607)Peak memory usage: 90 MB
% 13.03/2.78 % (2493607)Instructions burned: 257 (million)
% 13.03/2.78 % (2493620)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=141097341:i=4948:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/4948Mi)
% 13.03/2.78 % (2493622)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=3759496307:i=215:ep=RSTC_2995 on theBenchmark for (2995ds/215Mi)
% 13.03/2.78 % (2493608)Instruction limit reached!
% 13.03/2.78 % (2493608)------------------------------
% 13.03/2.78 % (2493608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.03/2.78 % (2493608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.03/2.78 % (2493608)CaDiCaL version: 2.1.3
% 13.03/2.78 % (2493608)Termination reason: Instruction limit
% 13.03/2.78 % (2493608)Termination phase: Saturation
% 13.03/2.78 % (2493608)Time elapsed: 0.589 s
% 13.03/2.78 % (2493608)Peak memory usage: 100 MB
% 13.03/2.78 % (2493608)Instructions burned: 1188 (million)
% 13.03/2.78 % (2493622)Instruction limit reached!
% 13.03/2.78 % (2493622)------------------------------
% 13.03/2.78 % (2493622)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.03/2.78 % (2493622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.03/2.78 % (2493622)CaDiCaL version: 2.1.3
% 13.03/2.78 % (2493622)Termination reason: Instruction limit
% 13.03/2.78 % (2493622)Termination phase: Saturation
% 13.03/2.78 % (2493622)Time elapsed: 0.116 s
% 13.03/2.78 % (2493622)Peak memory usage: 92 MB
% 13.03/2.78 % (2493622)Instructions burned: 215 (million)
% 13.03/2.78 % (2493627)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=3239127526: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)
% 13.03/2.78 % (2493628)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=4077238799:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/12125Mi)
% 13.03/2.78 % (2493627)Instruction limit reached!
% 13.03/2.78 % (2493627)------------------------------
% 13.03/2.78 % (2493627)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.03/2.78 % (2493627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.03/2.78 % (2493627)CaDiCaL version: 2.1.3
% 13.03/2.78 % (2493627)Termination reason: Instruction limit
% 13.03/2.78 % (2493627)Termination phase: Saturation
% 13.03/2.78 % (2493627)Time elapsed: 0.318 s
% 13.03/2.78 % (2493627)Peak memory usage: 91 MB
% 13.03/2.78 % (2493627)Instructions burned: 317 (million)
% 13.03/2.78 % (2493631)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=1938692383:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2987 on theBenchmark for (2987ds/2836Mi)
% 13.03/2.78 % (2493602)First to succeed.
% 13.03/2.78 % (2493602)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2493592"
% 13.03/2.78 % (2493601)Also succeeded, but the first one will report.
% 13.03/2.78 % (2493602)Refutation found. Thanks to Tanya!
% 13.03/2.78 % SZS status Unsatisfiable for theBenchmark
% 13.03/2.78 % SZS output start Proof for theBenchmark
% See solution above
% 14.34/2.93 % (2493602)------------------------------
% 14.34/2.93 % (2493602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.34/2.93 % (2493602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.34/2.93 % (2493602)CaDiCaL version: 2.1.3
% 14.34/2.93 % (2493602)Termination reason: Refutation
% 14.34/2.93 % (2493602)Time elapsed: 1.312 s
% 14.34/2.93 % (2493602)Peak memory usage: 132 MB
% 14.34/2.93 % (2493602)Instructions burned: 1350 (million)
% 14.34/2.93 % (2493602)------------------------------
% 14.34/2.93 % (2493602)------------------------------
% 14.34/2.93 % (2493592)Success in time 1.972 s
% 14.34/2.93 % Vampire exiting
%------------------------------------------------------------------------------