%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL011-2 : 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 : n010.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 12:33:42 PM UTC 2026
% Result : Unsatisfiable 8.68s 2.25s
% Output : Refutation 9.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 16
% Syntax : Number of formulae : 121 ( 121 unt; 0 def)
% Number of atoms : 121 ( 120 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 117 ( 117 !; 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(f9,axiom,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_distributivity_7) ).
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,axiom,
! [X2,X0,X1] : join(meet(composition(X0,X1),X2),composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2)))) = composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dedekind_law_14) ).
fof(f18,plain,
! [X2,X0,X1] : composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2))) = join(meet(composition(X0,X1),X2),composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2)))),
inference(reorient_equations,[],[f17]) ).
fof(f23,negated_conjecture,
meet(sk1,composition(converse(sk2),sk3)) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_17) ).
fof(f24,plain,
zero = meet(sk1,composition(converse(sk2),sk3)),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
meet(composition(sk2,sk1),sk3) != zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_18) ).
fof(f26,plain,
zero != meet(composition(sk2,sk1),sk3),
inference(reorient_equations,[],[f25]) ).
fof(f29,plain,
! [X0] : meet(X0,complement(X0)) = complement(top),
inference(superposition,[],[f6,f15]) ).
fof(f30,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X1,X0),
inference(superposition,[],[f6,f1]) ).
fof(f35,plain,
zero = complement(top),
inference(forward_demodulation,[],[f29,f16]) ).
fof(f36,plain,
! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
inference(superposition,[],[f6,f35]) ).
fof(f39,plain,
top = join(top,zero),
inference(superposition,[],[f15,f35]) ).
fof(f40,plain,
top = join(zero,top),
inference(forward_demodulation,[],[f39,f1]) ).
fof(f41,plain,
! [X0] : meet(X0,top) = complement(join(zero,complement(X0))),
inference(forward_demodulation,[],[f36,f1]) ).
fof(f42,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f11,f10]) ).
fof(f43,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f11,f10]) ).
fof(f68,plain,
complement(top) = meet(zero,top),
inference(superposition,[],[f41,f15]) ).
fof(f77,plain,
zero = meet(zero,top),
inference(forward_demodulation,[],[f68,f35]) ).
fof(f81,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f12,f10]) ).
fof(f97,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(superposition,[],[f30,f6]) ).
fof(f122,plain,
zero != meet(sk3,composition(sk2,sk1)),
inference(superposition,[],[f26,f97]) ).
fof(f127,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f2,f15]) ).
fof(f133,plain,
! [X0] : join(top,X0) = join(zero,join(top,X0)),
inference(superposition,[],[f2,f40]) ).
fof(f135,plain,
! [X0,X1] : top = join(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f2,f15]) ).
fof(f146,plain,
! [X0] : join(X0,top) = join(zero,join(X0,top)),
inference(superposition,[],[f133,f1]) ).
fof(f159,plain,
! [X0,X1] : composition(X0,X1) = composition(X0,composition(one,X1)),
inference(superposition,[],[f7,f8]) ).
fof(f176,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f42,f15]) ).
fof(f246,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X2,X1)) = composition(join(X2,X0),X1),
inference(superposition,[],[f9,f1]) ).
fof(f372,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(forward_demodulation,[],[f14,f1]) ).
fof(f407,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f81,f8]) ).
fof(f428,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f407,f10]) ).
fof(f444,plain,
! [X0] : composition(one,X0) = composition(converse(one),X0),
inference(superposition,[],[f159,f428]) ).
fof(f448,plain,
! [X0] : composition(one,X0) = X0,
inference(forward_demodulation,[],[f444,f428]) ).
fof(f480,plain,
! [X2,X0,X1] : meet(X0,X1) = join(meet(X0,X1),composition(converse(X2),complement(composition(X2,join(complement(X0),complement(X1)))))),
inference(superposition,[],[f372,f6]) ).
fof(f499,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(one,X0))),
inference(superposition,[],[f372,f428]) ).
fof(f501,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f499,f448]) ).
fof(f526,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f4,f1]) ).
fof(f527,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),meet(X0,X1)) = X0,
inference(forward_demodulation,[],[f526,f6]) ).
fof(f528,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f527,f1]) ).
fof(f561,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[],[f528,f16]) ).
fof(f569,plain,
sk1 = join(zero,complement(join(complement(sk1),composition(converse(sk2),sk3)))),
inference(superposition,[],[f528,f24]) ).
fof(f577,plain,
! [X0,X1] : join(meet(X0,composition(converse(X1),complement(composition(X1,X0)))),complement(complement(X0))) = X0,
inference(superposition,[],[f528,f372]) ).
fof(f585,plain,
! [X2,X0,X1] : join(X0,X2) = join(meet(X0,X1),join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f2,f528]) ).
fof(f591,plain,
! [X0,X1] : join(complement(complement(X0)),meet(X0,composition(converse(X1),complement(composition(X1,X0))))) = X0,
inference(forward_demodulation,[],[f577,f1]) ).
fof(f602,plain,
! [X0] : join(zero,meet(X0,X0)) = X0,
inference(forward_demodulation,[],[f561,f6]) ).
fof(f622,plain,
! [X0] : join(zero,join(complement(join(complement(sk1),composition(converse(sk2),sk3))),X0)) = join(sk1,X0),
inference(superposition,[],[f2,f569]) ).
fof(f637,plain,
join(zero,complement(join(complement(sk1),composition(converse(sk2),sk3)))) = join(sk1,complement(join(complement(sk1),composition(converse(sk2),sk3)))),
inference(superposition,[],[f622,f501]) ).
fof(f639,plain,
! [X0] : join(sk1,X0) = join(zero,join(X0,complement(join(complement(sk1),composition(converse(sk2),sk3))))),
inference(superposition,[],[f622,f1]) ).
fof(f643,plain,
join(complement(join(complement(sk1),composition(converse(sk2),sk3))),top) = join(sk1,top),
inference(superposition,[],[f146,f622]) ).
fof(f646,plain,
join(sk1,top) = join(top,complement(join(complement(sk1),composition(converse(sk2),sk3)))),
inference(forward_demodulation,[],[f643,f1]) ).
fof(f650,plain,
sk1 = join(sk1,complement(join(complement(sk1),composition(converse(sk2),sk3)))),
inference(forward_demodulation,[],[f637,f569]) ).
fof(f667,plain,
join(zero,sk1) = join(sk1,sk1),
inference(superposition,[],[f639,f650]) ).
fof(f676,plain,
! [X0] : join(sk1,join(sk1,X0)) = join(join(zero,sk1),X0),
inference(superposition,[],[f2,f667]) ).
fof(f677,plain,
! [X0] : join(sk1,join(sk1,X0)) = join(zero,join(sk1,X0)),
inference(forward_demodulation,[],[f676,f2]) ).
fof(f686,plain,
join(zero,top) = join(sk1,top),
inference(superposition,[],[f677,f15]) ).
fof(f693,plain,
top = join(sk1,top),
inference(forward_demodulation,[],[f686,f40]) ).
fof(f985,plain,
composition(meet(sk2,composition(sk3,converse(sk1))),zero) = join(meet(composition(sk2,sk1),sk3),composition(meet(sk2,composition(sk3,converse(sk1))),zero)),
inference(superposition,[],[f18,f24]) ).
fof(f987,plain,
composition(meet(sk2,composition(sk3,converse(sk1))),zero) = join(meet(sk3,composition(sk2,sk1)),composition(meet(sk2,composition(sk3,converse(sk1))),zero)),
inference(forward_demodulation,[],[f985,f97]) ).
fof(f1345,plain,
join(top,complement(join(complement(sk1),composition(converse(sk2),sk3)))) = join(sk1,complement(zero)),
inference(superposition,[],[f639,f127]) ).
fof(f1359,plain,
join(sk1,top) = join(sk1,complement(zero)),
inference(forward_demodulation,[],[f1345,f646]) ).
fof(f1387,plain,
top = join(sk1,complement(zero)),
inference(forward_demodulation,[],[f1359,f693]) ).
fof(f1402,plain,
! [X0] : join(top,X0) = join(sk1,join(complement(zero),X0)),
inference(superposition,[],[f2,f1387]) ).
fof(f1694,plain,
join(top,complement(zero)) = join(sk1,complement(zero)),
inference(superposition,[],[f1402,f501]) ).
fof(f1727,plain,
top = join(top,complement(zero)),
inference(forward_demodulation,[],[f1694,f1387]) ).
fof(f1739,plain,
top = join(top,join(complement(zero),complement(top))),
inference(superposition,[],[f135,f1727]) ).
fof(f1741,plain,
top = join(top,join(complement(zero),zero)),
inference(forward_demodulation,[],[f1739,f35]) ).
fof(f1744,plain,
top = join(top,join(zero,complement(zero))),
inference(forward_demodulation,[],[f1741,f1]) ).
fof(f1745,plain,
top = join(top,top),
inference(forward_demodulation,[],[f1744,f15]) ).
fof(f1759,plain,
! [X0] : join(top,X0) = join(top,join(top,X0)),
inference(superposition,[],[f2,f1745]) ).
fof(f1802,plain,
converse(top) = join(top,converse(top)),
inference(superposition,[],[f1759,f176]) ).
fof(f1831,plain,
converse(converse(top)) = join(converse(top),top),
inference(superposition,[],[f43,f1802]) ).
fof(f1835,plain,
converse(converse(top)) = join(top,converse(top)),
inference(forward_demodulation,[],[f1831,f1]) ).
fof(f1840,plain,
converse(top) = converse(converse(top)),
inference(forward_demodulation,[],[f1835,f1802]) ).
fof(f1841,plain,
top = converse(top),
inference(forward_demodulation,[],[f1840,f10]) ).
fof(f8817,plain,
! [X0] : join(zero,X0) = join(zero,join(complement(join(complement(zero),top)),X0)),
inference(superposition,[],[f585,f77]) ).
fof(f8912,plain,
! [X0] : join(zero,X0) = join(zero,join(complement(join(top,complement(zero))),X0)),
inference(forward_demodulation,[],[f8817,f1]) ).
fof(f8946,plain,
! [X0] : join(zero,X0) = join(zero,join(complement(top),X0)),
inference(forward_demodulation,[],[f8912,f1727]) ).
fof(f8959,plain,
! [X0] : join(zero,X0) = join(zero,join(zero,X0)),
inference(forward_demodulation,[],[f8946,f35]) ).
fof(f8989,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f8959,f602]) ).
fof(f9246,plain,
converse(top) = converse(complement(converse(zero))),
inference(superposition,[],[f176,f8989]) ).
fof(f9284,plain,
top = converse(complement(converse(zero))),
inference(forward_demodulation,[],[f9246,f1841]) ).
fof(f9364,plain,
! [X0] : join(complement(complement(X0)),meet(X0,complement(composition(one,X0)))) = X0,
inference(superposition,[],[f591,f428]) ).
fof(f9380,plain,
! [X0] : join(complement(complement(X0)),meet(X0,complement(X0))) = X0,
inference(forward_demodulation,[],[f9364,f448]) ).
fof(f9399,plain,
! [X0] : join(complement(complement(X0)),zero) = X0,
inference(forward_demodulation,[],[f9380,f16]) ).
fof(f9410,plain,
! [X0] : join(zero,complement(complement(X0))) = X0,
inference(forward_demodulation,[],[f9399,f1]) ).
fof(f9415,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f9410,f8989]) ).
fof(f9453,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f501,f9415]) ).
fof(f9497,plain,
! [X0] : top = join(X0,join(X0,complement(X0))),
inference(superposition,[],[f135,f9453]) ).
fof(f9599,plain,
! [X0] : top = join(X0,top),
inference(forward_demodulation,[],[f9497,f15]) ).
fof(f10544,plain,
converse(top) = complement(converse(zero)),
inference(superposition,[],[f10,f9284]) ).
fof(f10585,plain,
top = complement(converse(zero)),
inference(forward_demodulation,[],[f10544,f1841]) ).
fof(f11345,plain,
! [X0,X1] : meet(X0,complement(X0)) = join(meet(X0,complement(X0)),composition(converse(X1),complement(composition(X1,top)))),
inference(superposition,[],[f480,f15]) ).
fof(f11365,plain,
! [X1] : zero = join(zero,composition(converse(X1),complement(composition(X1,top)))),
inference(forward_demodulation,[],[f11345,f16]) ).
fof(f11415,plain,
! [X1] : zero = composition(converse(X1),complement(composition(X1,top))),
inference(forward_demodulation,[],[f11365,f8989]) ).
fof(f16423,plain,
zero = composition(top,complement(composition(complement(converse(zero)),top))),
inference(superposition,[],[f11415,f9284]) ).
fof(f16535,plain,
zero = composition(top,complement(composition(top,top))),
inference(forward_demodulation,[],[f16423,f10585]) ).
fof(f16629,plain,
! [X0] : composition(join(X0,top),complement(composition(top,top))) = join(zero,composition(X0,complement(composition(top,top)))),
inference(superposition,[],[f246,f16535]) ).
fof(f16678,plain,
! [X0] : composition(join(X0,top),complement(composition(top,top))) = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f16629,f8989]) ).
fof(f16710,plain,
! [X0] : composition(top,complement(composition(top,top))) = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f16678,f9599]) ).
fof(f16737,plain,
! [X0] : zero = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f16710,f16535]) ).
fof(f16829,plain,
! [X0] : composition(X0,zero) = composition(X0,complement(composition(top,top))),
inference(superposition,[],[f159,f16737]) ).
fof(f16857,plain,
! [X0] : zero = composition(X0,zero),
inference(forward_demodulation,[],[f16829,f16737]) ).
fof(f16985,plain,
zero = join(meet(sk3,composition(sk2,sk1)),zero),
inference(superposition,[],[f987,f16857]) ).
fof(f17017,plain,
zero = join(zero,meet(sk3,composition(sk2,sk1))),
inference(forward_demodulation,[],[f16985,f1]) ).
fof(f17062,plain,
zero = meet(sk3,composition(sk2,sk1)),
inference(forward_demodulation,[],[f17017,f8989]) ).
fof(f17104,plain,
$false,
inference(forward_subsumption_resolution,[],[f17062,f122]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : REL011-2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.43 % Computer : n010.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Sun Sep 27 22:51:36 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.16/0.44 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.49 Running first-order theorem proving
% 0.23/0.49 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
% 8.68/2.25 % (1386657)Detected a unit-equality problem, will run specialized UEQ schedule.
% 8.68/2.25 % (1386662)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=4284618885:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 8.68/2.25 % (1386665)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=2233131021:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 8.68/2.25 % (1386664)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1260243848:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 8.68/2.25 % (1386663)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=3395799721:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 8.68/2.25 % (1386666)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1554592423:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 8.68/2.25 % (1386667)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=222043056:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 8.68/2.25 % (1386668)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1695732647:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 8.68/2.25 % (1386665)Instruction limit reached!
% 8.68/2.25 % (1386665)------------------------------
% 8.68/2.25 % (1386665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.68/2.25 % (1386665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.68/2.25 % (1386665)CaDiCaL version: 2.1.3
% 8.68/2.25 % (1386665)Termination reason: Instruction limit
% 8.68/2.25 % (1386665)Termination phase: Saturation
% 8.68/2.25 % (1386665)Time elapsed: 0.135 s
% 8.68/2.25 % (1386665)Peak memory usage: 89 MB
% 8.68/2.25 % (1386665)Instructions burned: 136 (million)
% 8.68/2.25 % (1386666)Instruction limit reached!
% 8.68/2.25 % (1386666)------------------------------
% 8.68/2.25 % (1386666)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.68/2.25 % (1386666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.68/2.25 % (1386666)CaDiCaL version: 2.1.3
% 8.68/2.25 % (1386666)Termination reason: Instruction limit
% 8.68/2.25 % (1386666)Termination phase: Saturation
% 8.68/2.25 % (1386666)Time elapsed: 0.179 s
% 8.68/2.25 % (1386666)Peak memory usage: 89 MB
% 8.68/2.25 % (1386666)Instructions burned: 182 (million)
% 8.68/2.25 % (1386667)Instruction limit reached!
% 8.68/2.25 % (1386667)------------------------------
% 8.68/2.25 % (1386667)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.68/2.25 % (1386667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.68/2.25 % (1386667)CaDiCaL version: 2.1.3
% 8.68/2.25 % (1386667)Termination reason: Instruction limit
% 8.68/2.25 % (1386667)Termination phase: Saturation
% 8.68/2.25 % (1386667)Time elapsed: 0.272 s
% 8.68/2.25 % (1386667)Peak memory usage: 90 MB
% 8.68/2.25 % (1386667)Instructions burned: 257 (million)
% 8.68/2.25 % (1386676)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1865149965:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2995 on theBenchmark for (2995ds/2051Mi)
% 8.68/2.25 % (1386677)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1017581878:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 8.68/2.25 % (1386668)First to succeed.
% 8.68/2.25 % (1386668)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1386657"
% 8.68/2.25 % (1386678)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2010470539:i=215:ep=RSTC_2994 on theBenchmark for (2994ds/215Mi)
% 8.68/2.25 % (1386678)Instruction limit reached!
% 8.68/2.25 % (1386678)------------------------------
% 8.68/2.25 % (1386678)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.68/2.25 % (1386678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.68/2.25 % (1386678)CaDiCaL version: 2.1.3
% 8.68/2.25 % (1386678)Termination reason: Instruction limit
% 8.68/2.25 % (1386678)Termination phase: Saturation
% 8.68/2.25 % (1386678)Time elapsed: 0.205 s
% 8.68/2.25 % (1386678)Peak memory usage: 92 MB
% 8.68/2.25 % (1386678)Instructions burned: 215 (million)
% 8.68/2.25 % (1386668)Refutation found. Thanks to Tanya!
% 8.68/2.25 % SZS status Unsatisfiable for theBenchmark
% 8.68/2.25 % SZS output start Proof for theBenchmark
% See solution above
% 9.43/2.58 % (1386668)------------------------------
% 9.43/2.58 % (1386668)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.58 % (1386668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.58 % (1386668)CaDiCaL version: 2.1.3
% 9.43/2.58 % (1386668)Termination reason: Refutation
% 9.43/2.58 % (1386668)Time elapsed: 0.503 s
% 9.43/2.58 % (1386668)Peak memory usage: 94 MB
% 9.43/2.58 % (1386668)Instructions burned: 529 (million)
% 9.43/2.58 % (1386668)------------------------------
% 9.43/2.58 % (1386668)------------------------------
% 9.43/2.58 % (1386657)Success in time 1.208 s
% 9.43/2.58 % Vampire exiting
%------------------------------------------------------------------------------