%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL010-2 : 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 : n017.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 12:33:41 PM UTC 2026
% Result : Unsatisfiable 3.88s 1.62s
% Output : Refutation 5.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 16
% Syntax : Number of formulae : 122 ( 122 unt; 0 def)
% Number of atoms : 122 ( 121 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 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 : 120 ( 120 !; 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(composition(sk1,sk2),sk3) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_17) ).
fof(f24,plain,
zero = meet(composition(sk1,sk2),sk3),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
meet(sk2,composition(converse(sk1),sk3)) != zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_18) ).
fof(f26,plain,
zero != meet(sk2,composition(converse(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(f118,plain,
zero = meet(sk3,composition(sk1,sk2)),
inference(superposition,[],[f97,f24]) ).
fof(f129,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f2,f15]) ).
fof(f135,plain,
! [X0] : join(top,X0) = join(zero,join(top,X0)),
inference(superposition,[],[f2,f40]) ).
fof(f137,plain,
! [X0,X1] : top = join(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f2,f15]) ).
fof(f148,plain,
! [X0] : join(X0,top) = join(zero,join(X0,top)),
inference(superposition,[],[f135,f1]) ).
fof(f159,plain,
! [X0,X1] : composition(X0,X1) = composition(X0,composition(one,X1)),
inference(superposition,[],[f7,f8]) ).
fof(f178,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f42,f15]) ).
fof(f216,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X2,X1)) = composition(join(X2,X0),X1),
inference(superposition,[],[f9,f1]) ).
fof(f374,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(forward_demodulation,[],[f14,f1]) ).
fof(f409,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f81,f8]) ).
fof(f430,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f409,f10]) ).
fof(f446,plain,
! [X0] : composition(one,X0) = composition(converse(one),X0),
inference(superposition,[],[f159,f430]) ).
fof(f450,plain,
! [X0] : composition(one,X0) = X0,
inference(forward_demodulation,[],[f446,f430]) ).
fof(f475,plain,
! [X2,X0,X1] : meet(X0,X1) = join(meet(X0,X1),composition(converse(X2),complement(composition(X2,join(complement(X0),complement(X1)))))),
inference(superposition,[],[f374,f6]) ).
fof(f501,plain,
! [X0] : complement(X0) = join(complement(X0),composition(converse(one),complement(X0))),
inference(superposition,[],[f374,f450]) ).
fof(f508,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f501,f430]) ).
fof(f510,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f4,f1]) ).
fof(f511,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),meet(X0,X1)) = X0,
inference(forward_demodulation,[],[f510,f6]) ).
fof(f512,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f511,f1]) ).
fof(f557,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[],[f512,f16]) ).
fof(f566,plain,
sk3 = join(zero,complement(join(complement(sk3),composition(sk1,sk2)))),
inference(superposition,[],[f512,f118]) ).
fof(f574,plain,
! [X0,X1] : join(meet(X0,composition(converse(X1),complement(composition(X1,X0)))),complement(complement(X0))) = X0,
inference(superposition,[],[f512,f374]) ).
fof(f582,plain,
! [X2,X0,X1] : join(X0,X2) = join(meet(X0,X1),join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f2,f512]) ).
fof(f588,plain,
! [X0,X1] : join(complement(complement(X0)),meet(X0,composition(converse(X1),complement(composition(X1,X0))))) = X0,
inference(forward_demodulation,[],[f574,f1]) ).
fof(f600,plain,
! [X0] : join(zero,meet(X0,X0)) = X0,
inference(forward_demodulation,[],[f557,f6]) ).
fof(f620,plain,
! [X0] : join(zero,join(complement(join(complement(sk3),composition(sk1,sk2))),X0)) = join(sk3,X0),
inference(superposition,[],[f2,f566]) ).
fof(f642,plain,
join(zero,complement(join(complement(sk3),composition(sk1,sk2)))) = join(sk3,complement(join(complement(sk3),composition(sk1,sk2)))),
inference(superposition,[],[f620,f508]) ).
fof(f644,plain,
! [X0] : join(sk3,X0) = join(zero,join(X0,complement(join(complement(sk3),composition(sk1,sk2))))),
inference(superposition,[],[f620,f1]) ).
fof(f648,plain,
join(complement(join(complement(sk3),composition(sk1,sk2))),top) = join(sk3,top),
inference(superposition,[],[f148,f620]) ).
fof(f651,plain,
join(sk3,top) = join(top,complement(join(complement(sk3),composition(sk1,sk2)))),
inference(forward_demodulation,[],[f648,f1]) ).
fof(f655,plain,
sk3 = join(sk3,complement(join(complement(sk3),composition(sk1,sk2)))),
inference(forward_demodulation,[],[f642,f566]) ).
fof(f672,plain,
join(zero,sk3) = join(sk3,sk3),
inference(superposition,[],[f644,f655]) ).
fof(f681,plain,
! [X0] : join(sk3,join(sk3,X0)) = join(join(zero,sk3),X0),
inference(superposition,[],[f2,f672]) ).
fof(f682,plain,
! [X0] : join(sk3,join(sk3,X0)) = join(zero,join(sk3,X0)),
inference(forward_demodulation,[],[f681,f2]) ).
fof(f690,plain,
join(zero,top) = join(sk3,top),
inference(superposition,[],[f682,f15]) ).
fof(f697,plain,
top = join(sk3,top),
inference(forward_demodulation,[],[f690,f40]) ).
fof(f940,plain,
! [X2,X0,X1] : composition(meet(converse(X0),composition(X1,converse(X2))),meet(X2,composition(X0,X1))) = join(meet(composition(converse(X0),X2),X1),composition(meet(converse(X0),composition(X1,converse(X2))),meet(X2,composition(X0,X1)))),
inference(superposition,[],[f18,f10]) ).
fof(f1355,plain,
join(top,complement(join(complement(sk3),composition(sk1,sk2)))) = join(sk3,complement(zero)),
inference(superposition,[],[f644,f129]) ).
fof(f1369,plain,
join(sk3,top) = join(sk3,complement(zero)),
inference(forward_demodulation,[],[f1355,f651]) ).
fof(f1397,plain,
top = join(sk3,complement(zero)),
inference(forward_demodulation,[],[f1369,f697]) ).
fof(f1412,plain,
! [X0] : join(top,X0) = join(sk3,join(complement(zero),X0)),
inference(superposition,[],[f2,f1397]) ).
fof(f1713,plain,
join(top,complement(zero)) = join(sk3,complement(zero)),
inference(superposition,[],[f1412,f508]) ).
fof(f1746,plain,
top = join(top,complement(zero)),
inference(forward_demodulation,[],[f1713,f1397]) ).
fof(f1758,plain,
top = join(top,join(complement(zero),complement(top))),
inference(superposition,[],[f137,f1746]) ).
fof(f1760,plain,
top = join(top,join(complement(zero),zero)),
inference(forward_demodulation,[],[f1758,f35]) ).
fof(f1763,plain,
top = join(top,join(zero,complement(zero))),
inference(forward_demodulation,[],[f1760,f1]) ).
fof(f1764,plain,
top = join(top,top),
inference(forward_demodulation,[],[f1763,f15]) ).
fof(f1778,plain,
! [X0] : join(top,X0) = join(top,join(top,X0)),
inference(superposition,[],[f2,f1764]) ).
fof(f1821,plain,
converse(top) = join(top,converse(top)),
inference(superposition,[],[f1778,f178]) ).
fof(f1850,plain,
converse(converse(top)) = join(converse(top),top),
inference(superposition,[],[f43,f1821]) ).
fof(f1854,plain,
converse(converse(top)) = join(top,converse(top)),
inference(forward_demodulation,[],[f1850,f1]) ).
fof(f1859,plain,
converse(top) = converse(converse(top)),
inference(forward_demodulation,[],[f1854,f1821]) ).
fof(f1860,plain,
top = converse(top),
inference(forward_demodulation,[],[f1859,f10]) ).
fof(f9020,plain,
! [X0] : join(zero,X0) = join(zero,join(complement(join(complement(zero),top)),X0)),
inference(superposition,[],[f582,f77]) ).
fof(f9115,plain,
! [X0] : join(zero,X0) = join(zero,join(complement(join(top,complement(zero))),X0)),
inference(forward_demodulation,[],[f9020,f1]) ).
fof(f9151,plain,
! [X0] : join(zero,X0) = join(zero,join(complement(top),X0)),
inference(forward_demodulation,[],[f9115,f1746]) ).
fof(f9165,plain,
! [X0] : join(zero,X0) = join(zero,join(zero,X0)),
inference(forward_demodulation,[],[f9151,f35]) ).
fof(f9199,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f9165,f600]) ).
fof(f9480,plain,
converse(top) = converse(complement(converse(zero))),
inference(superposition,[],[f178,f9199]) ).
fof(f9518,plain,
top = converse(complement(converse(zero))),
inference(forward_demodulation,[],[f9480,f1860]) ).
fof(f9677,plain,
! [X0] : join(complement(complement(X0)),meet(X0,complement(composition(one,X0)))) = X0,
inference(superposition,[],[f588,f430]) ).
fof(f9693,plain,
! [X0] : join(complement(complement(X0)),meet(X0,complement(X0))) = X0,
inference(forward_demodulation,[],[f9677,f450]) ).
fof(f9714,plain,
! [X0] : join(complement(complement(X0)),zero) = X0,
inference(forward_demodulation,[],[f9693,f16]) ).
fof(f9726,plain,
! [X0] : join(zero,complement(complement(X0))) = X0,
inference(forward_demodulation,[],[f9714,f1]) ).
fof(f9732,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f9726,f9199]) ).
fof(f9771,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f508,f9732]) ).
fof(f9814,plain,
! [X0] : top = join(X0,join(X0,complement(X0))),
inference(superposition,[],[f137,f9771]) ).
fof(f9916,plain,
! [X0] : top = join(X0,top),
inference(forward_demodulation,[],[f9814,f15]) ).
fof(f10767,plain,
converse(top) = complement(converse(zero)),
inference(superposition,[],[f10,f9518]) ).
fof(f10808,plain,
top = complement(converse(zero)),
inference(forward_demodulation,[],[f10767,f1860]) ).
fof(f11534,plain,
! [X0,X1] : meet(X0,complement(X0)) = join(meet(X0,complement(X0)),composition(converse(X1),complement(composition(X1,top)))),
inference(superposition,[],[f475,f15]) ).
fof(f11554,plain,
! [X1] : zero = join(zero,composition(converse(X1),complement(composition(X1,top)))),
inference(forward_demodulation,[],[f11534,f16]) ).
fof(f11604,plain,
! [X1] : zero = composition(converse(X1),complement(composition(X1,top))),
inference(forward_demodulation,[],[f11554,f9199]) ).
fof(f16681,plain,
zero = composition(top,complement(composition(complement(converse(zero)),top))),
inference(superposition,[],[f11604,f9518]) ).
fof(f16793,plain,
zero = composition(top,complement(composition(top,top))),
inference(forward_demodulation,[],[f16681,f10808]) ).
fof(f16887,plain,
! [X0] : composition(join(X0,top),complement(composition(top,top))) = join(zero,composition(X0,complement(composition(top,top)))),
inference(superposition,[],[f216,f16793]) ).
fof(f16936,plain,
! [X0] : composition(join(X0,top),complement(composition(top,top))) = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f16887,f9199]) ).
fof(f16968,plain,
! [X0] : composition(top,complement(composition(top,top))) = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f16936,f9916]) ).
fof(f16995,plain,
! [X0] : zero = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f16968,f16793]) ).
fof(f17087,plain,
! [X0] : composition(X0,zero) = composition(X0,complement(composition(top,top))),
inference(superposition,[],[f159,f16995]) ).
fof(f17115,plain,
! [X0] : zero = composition(X0,zero),
inference(forward_demodulation,[],[f17087,f16995]) ).
fof(f18806,plain,
composition(meet(converse(sk1),composition(sk2,converse(sk3))),zero) = join(meet(composition(converse(sk1),sk3),sk2),composition(meet(converse(sk1),composition(sk2,converse(sk3))),zero)),
inference(superposition,[],[f940,f118]) ).
fof(f18824,plain,
zero = join(meet(composition(converse(sk1),sk3),sk2),zero),
inference(forward_demodulation,[],[f18806,f17115]) ).
fof(f18878,plain,
zero = join(zero,meet(composition(converse(sk1),sk3),sk2)),
inference(forward_demodulation,[],[f18824,f1]) ).
fof(f18919,plain,
zero = meet(composition(converse(sk1),sk3),sk2),
inference(forward_demodulation,[],[f18878,f9199]) ).
fof(f18942,plain,
zero = meet(sk2,composition(converse(sk1),sk3)),
inference(forward_demodulation,[],[f18919,f97]) ).
fof(f18959,plain,
$false,
inference(forward_subsumption_resolution,[],[f18942,f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL010-2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n017.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 22:45:51 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 3.88/1.62 % (3034176)Detected a unit-equality problem, will run specialized UEQ schedule.
% 3.88/1.62 % (3034261)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2596413124:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 3.88/1.62 % (3034260)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=2865946119:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 3.88/1.62 % (3034265)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1119623500:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 3.88/1.62 % (3034262)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=64611916:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 3.88/1.62 % (3034264)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1177289555:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 3.88/1.62 % (3034258)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=2597921271:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 3.88/1.62 % (3034267)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2705399425:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 3.88/1.62 % (3034262)Instruction limit reached!
% 3.88/1.62 % (3034262)------------------------------
% 3.88/1.62 % (3034262)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.62 % (3034262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.62 % (3034262)CaDiCaL version: 2.1.3
% 3.88/1.62 % (3034262)Termination reason: Instruction limit
% 3.88/1.62 % (3034262)Termination phase: Saturation
% 3.88/1.62 % (3034262)Time elapsed: 0.084 s
% 3.88/1.62 % (3034262)Peak memory usage: 89 MB
% 3.88/1.62 % (3034262)Instructions burned: 137 (million)
% 3.88/1.62 % (3034264)Instruction limit reached!
% 3.88/1.62 % (3034264)------------------------------
% 3.88/1.62 % (3034264)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.62 % (3034264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.62 % (3034264)CaDiCaL version: 2.1.3
% 3.88/1.62 % (3034264)Termination reason: Instruction limit
% 3.88/1.62 % (3034264)Termination phase: Saturation
% 3.88/1.62 % (3034264)Time elapsed: 0.106 s
% 3.88/1.62 % (3034264)Peak memory usage: 89 MB
% 3.88/1.62 % (3034264)Instructions burned: 181 (million)
% 3.88/1.62 % (3034265)Instruction limit reached!
% 3.88/1.62 % (3034265)------------------------------
% 3.88/1.62 % (3034265)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.62 % (3034265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.62 % (3034265)CaDiCaL version: 2.1.3
% 3.88/1.62 % (3034265)Termination reason: Instruction limit
% 3.88/1.62 % (3034265)Termination phase: Saturation
% 3.88/1.62 % (3034265)Time elapsed: 0.164 s
% 3.88/1.62 % (3034265)Peak memory usage: 90 MB
% 3.88/1.62 % (3034265)Instructions burned: 259 (million)
% 3.88/1.62 % (3034296)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=4054921279:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 3.88/1.62 % (3034297)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3698181:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 3.88/1.62 % (3034298)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=3964732668:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 3.88/1.62 % (3034267)First to succeed.
% 3.88/1.62 % (3034267)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3034176"
% 3.88/1.62 % (3034298)Instruction limit reached!
% 3.88/1.62 % (3034298)------------------------------
% 3.88/1.62 % (3034298)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.62 % (3034298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.62 % (3034298)CaDiCaL version: 2.1.3
% 3.88/1.62 % (3034298)Termination reason: Instruction limit
% 3.88/1.62 % (3034298)Termination phase: Saturation
% 3.88/1.62 % (3034298)Time elapsed: 0.125 s
% 3.88/1.62 % (3034298)Peak memory usage: 92 MB
% 3.88/1.62 % (3034298)Instructions burned: 217 (million)
% 3.88/1.62 % (3034267)Refutation found. Thanks to Tanya!
% 3.88/1.62 % SZS status Unsatisfiable for theBenchmark
% 3.88/1.62 % SZS output start Proof for theBenchmark
% See solution above
% 5.97/1.88 % (3034267)------------------------------
% 5.97/1.88 % (3034267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.97/1.88 % (3034267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.97/1.88 % (3034267)CaDiCaL version: 2.1.3
% 5.97/1.88 % (3034267)Termination reason: Refutation
% 5.97/1.88 % (3034267)Time elapsed: 0.330 s
% 5.97/1.88 % (3034267)Peak memory usage: 94 MB
% 5.97/1.88 % (3034267)Instructions burned: 591 (million)
% 5.97/1.88 % (3034267)------------------------------
% 5.97/1.88 % (3034267)------------------------------
% 5.97/1.88 % (3034176)Success in time 0.768 s
% 5.97/1.88 % Vampire exiting
%------------------------------------------------------------------------------