%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL028-1 : 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 : n014.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 12:33:54 PM UTC 2026
% Result : Unsatisfiable 11.43s 2.44s
% Output : Refutation 11.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 38
% Syntax : Number of formulae : 245 ( 132 unt; 23 def)
% Number of atoms : 487 ( 201 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 473 ( 231 ~; 226 |; 0 &)
% ( 16 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 18 ( 16 usr; 17 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 12 con; 0-2 aty)
% Number of variables : 176 ( 0 sgn 176 !; 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(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,negated_conjecture,
join(sk1,one) = one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_14) ).
fof(f18,plain,
one = join(sk1,one),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
join(sk2,one) = one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_15) ).
fof(f20,plain,
one = join(sk2,one),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
composition(sk1,sk2) != meet(sk1,sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_16) ).
fof(f22,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f16,f6]) ).
fof(f23,plain,
composition(sk1,sk2) != complement(join(complement(sk1),complement(sk2))),
inference(definition_unfolding,[],[f21,f6]) ).
fof(f24,definition,
sF0 = join(sk1,one),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f25,plain,
join(sk1,one) = sF0,
inference(reorient_equations,[],[f24]) ).
fof(f26,plain,
one = sF0,
inference(definition_folding,[],[f18,f25]) ).
fof(f27,definition,
sF1 = join(sk2,one),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f28,plain,
join(sk2,one) = sF1,
inference(reorient_equations,[],[f27]) ).
fof(f29,plain,
one = sF1,
inference(definition_folding,[],[f20,f28]) ).
fof(f30,definition,
sF2 = composition(sk1,sk2),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f31,plain,
composition(sk1,sk2) = sF2,
inference(reorient_equations,[],[f30]) ).
fof(f32,definition,
sF3 = complement(sk1),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f33,plain,
complement(sk1) = sF3,
inference(reorient_equations,[],[f32]) ).
fof(f34,definition,
sF4 = complement(sk2),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f35,plain,
complement(sk2) = sF4,
inference(reorient_equations,[],[f34]) ).
fof(f36,definition,
sF5 = join(sF3,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f37,plain,
join(sF3,sF4) = sF5,
inference(reorient_equations,[],[f36]) ).
fof(f38,definition,
sF6 = complement(sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f39,plain,
complement(sF5) = sF6,
inference(reorient_equations,[],[f38]) ).
fof(f40,plain,
sF2 != sF6,
inference(definition_folding,[],[f23,f39,f37,f35,f33,f31]) ).
fof(f41,plain,
sF0 = sF1,
inference(forward_demodulation,[],[f26,f29]) ).
fof(f42,plain,
zero = complement(top),
inference(backward_demodulation,[],[f22,f15]) ).
fof(f43,plain,
! [X0] : composition(X0,sF1) = X0,
inference(forward_demodulation,[],[f8,f29]) ).
fof(f44,plain,
sF0 = join(sk1,sF1),
inference(forward_demodulation,[],[f25,f29]) ).
fof(f45,plain,
sF1 = join(sk2,sF1),
inference(forward_demodulation,[],[f28,f29]) ).
fof(f47,plain,
! [X0] : composition(X0,sF0) = X0,
inference(forward_demodulation,[],[f43,f41]) ).
fof(f48,plain,
sF0 = join(sF1,sk1),
inference(forward_demodulation,[],[f44,f1]) ).
fof(f49,plain,
sF1 = join(sF1,sk2),
inference(forward_demodulation,[],[f45,f1]) ).
fof(f50,plain,
sF0 = join(sF0,sk1),
inference(forward_demodulation,[],[f48,f41]) ).
fof(f51,plain,
sF0 = join(sF0,sk2),
inference(forward_demodulation,[],[f49,f41]) ).
fof(f58,definition,
( spl7_2
<=> complement(sF5) = sF6 ),
introduced(definition,[new_symbols(definition,[spl7_2])],[avatar_definition]) ).
fof(f60,plain,
( complement(sF5) = sF6
| ~ spl7_2 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f61,plain,
spl7_2,
inference(avatar_split_clause,[],[f39,f58]) ).
fof(f63,definition,
( spl7_3
<=> composition(sk1,sk2) = sF2 ),
introduced(definition,[new_symbols(definition,[spl7_3])],[avatar_definition]) ).
fof(f65,plain,
( composition(sk1,sk2) = sF2
| ~ spl7_3 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f66,plain,
spl7_3,
inference(avatar_split_clause,[],[f31,f63]) ).
fof(f73,definition,
( spl7_5
<=> sF2 = sF6 ),
introduced(definition,[new_symbols(definition,[spl7_5])],[avatar_definition]) ).
fof(f75,plain,
( sF2 != sF6
| spl7_5 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f76,plain,
~ spl7_5,
inference(avatar_split_clause,[],[f40,f73]) ).
fof(f78,definition,
( spl7_6
<=> complement(sk1) = sF3 ),
introduced(definition,[new_symbols(definition,[spl7_6])],[avatar_definition]) ).
fof(f80,plain,
( complement(sk1) = sF3
| ~ spl7_6 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f81,plain,
spl7_6,
inference(avatar_split_clause,[],[f33,f78]) ).
fof(f83,definition,
( spl7_7
<=> complement(sk2) = sF4 ),
introduced(definition,[new_symbols(definition,[spl7_7])],[avatar_definition]) ).
fof(f85,plain,
( complement(sk2) = sF4
| ~ spl7_7 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f86,plain,
spl7_7,
inference(avatar_split_clause,[],[f35,f83]) ).
fof(f87,plain,
! [X0,X1] : complement(X1) = join(composition(X0,complement(composition(converse(X0),X1))),complement(X1)),
inference(superposition,[],[f14,f10]) ).
fof(f100,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(X0,complement(composition(converse(X0),X1)))),
inference(forward_demodulation,[],[f87,f1]) ).
fof(f119,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f4,f1]) ).
fof(f136,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(forward_demodulation,[],[f119,f1]) ).
fof(f158,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),complement(X1))),join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f2,f4]) ).
fof(f165,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f1,f2]) ).
fof(f167,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(X2,complement(join(complement(X0),complement(X1))))),
inference(forward_demodulation,[],[f158,f165]) ).
fof(f179,plain,
! [X0] : join(complement(join(complement(X0),complement(complement(complement(X0))))),complement(top)) = X0,
inference(superposition,[],[f4,f15]) ).
fof(f180,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(forward_demodulation,[],[f179,f1]) ).
fof(f184,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(forward_demodulation,[],[f180,f42]) ).
fof(f186,definition,
( spl7_8
<=> join(sF3,sF4) = sF5 ),
introduced(definition,[new_symbols(definition,[spl7_8])],[avatar_definition]) ).
fof(f188,plain,
( join(sF3,sF4) = sF5
| ~ spl7_8 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f189,plain,
spl7_8,
inference(avatar_split_clause,[],[f37,f186]) ).
fof(f198,definition,
( spl7_9
<=> sF0 = join(sF0,sk1) ),
introduced(definition,[new_symbols(definition,[spl7_9])],[avatar_definition]) ).
fof(f200,plain,
( sF0 = join(sF0,sk1)
| ~ spl7_9 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f201,plain,
spl7_9,
inference(avatar_split_clause,[],[f50,f198]) ).
fof(f204,definition,
( spl7_10
<=> sF0 = join(sF0,sk2) ),
introduced(definition,[new_symbols(definition,[spl7_10])],[avatar_definition]) ).
fof(f206,plain,
( sF0 = join(sF0,sk2)
| ~ spl7_10 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f207,plain,
spl7_10,
inference(avatar_split_clause,[],[f51,f204]) ).
fof(f222,plain,
! [X0] : complement(X0) = join(complement(join(complement(complement(X0)),X0)),complement(top)),
inference(superposition,[],[f136,f15]) ).
fof(f230,plain,
! [X0] : complement(X0) = join(complement(top),complement(join(complement(complement(X0)),X0))),
inference(forward_demodulation,[],[f222,f1]) ).
fof(f241,plain,
! [X0] : complement(X0) = join(complement(top),complement(join(X0,complement(complement(X0))))),
inference(forward_demodulation,[],[f230,f1]) ).
fof(f245,plain,
! [X0] : complement(X0) = join(zero,complement(join(X0,complement(complement(X0))))),
inference(forward_demodulation,[],[f241,f42]) ).
fof(f248,plain,
! [X0] : complement(complement(X0)) = X0,
inference(backward_demodulation,[],[f184,f245]) ).
fof(f251,plain,
! [X0] : complement(X0) = join(zero,complement(join(X0,X0))),
inference(backward_demodulation,[],[f245,f248]) ).
fof(f256,plain,
( sk1 = complement(sF3)
| ~ spl7_6 ),
inference(superposition,[],[f248,f80]) ).
fof(f257,plain,
( sk2 = complement(sF4)
| ~ spl7_7 ),
inference(superposition,[],[f248,f85]) ).
fof(f259,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,complement(X1))),complement(join(X0,X1))),
inference(superposition,[],[f4,f248]) ).
fof(f264,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(X1),X0))),
inference(superposition,[],[f136,f248]) ).
fof(f270,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(X0,complement(X1)))),
inference(forward_demodulation,[],[f259,f1]) ).
fof(f276,plain,
! [X0,X1] : complement(X1) = join(complement(join(X0,X1)),complement(join(X1,complement(X0)))),
inference(superposition,[],[f270,f1]) ).
fof(f350,definition,
( spl7_11
<=> sk1 = complement(sF3) ),
introduced(definition,[new_symbols(definition,[spl7_11])],[avatar_definition]) ).
fof(f352,plain,
( sk1 = complement(sF3)
| ~ spl7_11 ),
inference(avatar_component_clause,[],[f350]) ).
fof(f353,plain,
( spl7_11
| ~ spl7_6 ),
inference(avatar_split_clause,[],[f256,f78,f350]) ).
fof(f355,definition,
( spl7_12
<=> sk2 = complement(sF4) ),
introduced(definition,[new_symbols(definition,[spl7_12])],[avatar_definition]) ).
fof(f357,plain,
( sk2 = complement(sF4)
| ~ spl7_12 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f358,plain,
( spl7_12
| ~ spl7_7 ),
inference(avatar_split_clause,[],[f257,f83,f355]) ).
fof(f360,plain,
! [X0,X1] : complement(X1) = join(complement(join(X0,X1)),complement(join(complement(X0),X1))),
inference(superposition,[],[f264,f1]) ).
fof(f382,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),complement(join(complement(join(X0,X1)),join(complement(X1),X0)))),
inference(superposition,[],[f4,f264]) ).
fof(f391,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),complement(join(X0,join(complement(join(X0,X1)),complement(X1))))),
inference(forward_demodulation,[],[f382,f165]) ).
fof(f409,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),complement(join(X0,join(complement(X1),complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f391,f1]) ).
fof(f424,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(X0,join(complement(X1),complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f409,f248]) ).
fof(f456,definition,
( spl7_13
<=> zero = complement(top) ),
introduced(definition,[new_symbols(definition,[spl7_13])],[avatar_definition]) ).
fof(f458,plain,
( zero = complement(top)
| ~ spl7_13 ),
inference(avatar_component_clause,[],[f456]) ).
fof(f459,plain,
spl7_13,
inference(avatar_split_clause,[],[f42,f456]) ).
fof(f480,plain,
! [X0,X1] : composition(converse(X1),X0) = converse(composition(converse(X0),X1)),
inference(superposition,[],[f12,f10]) ).
fof(f483,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(f491,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f483,f12]) ).
fof(f503,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f491,f11]) ).
fof(f506,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f503,f11]) ).
fof(f508,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f506,f12]) ).
fof(f519,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f10,f508]) ).
fof(f532,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f519,f10]) ).
fof(f581,plain,
! [X0,X1] : join(X0,X1) = join(complement(top),join(X1,complement(join(complement(X0),complement(complement(complement(X0))))))),
inference(superposition,[],[f167,f15]) ).
fof(f633,plain,
! [X0,X1] : join(X0,X1) = join(complement(top),join(X1,complement(join(complement(X0),complement(X0))))),
inference(forward_demodulation,[],[f581,f248]) ).
fof(f652,plain,
( ! [X0,X1] : join(X0,X1) = join(zero,join(X1,complement(join(complement(X0),complement(X0)))))
| ~ spl7_13 ),
inference(forward_demodulation,[],[f633,f458]) ).
fof(f780,plain,
! [X0] : complement(zero) = join(complement(complement(X0)),complement(join(zero,complement(complement(join(X0,X0)))))),
inference(superposition,[],[f270,f251]) ).
fof(f781,plain,
! [X0,X1] : join(complement(X0),X1) = join(zero,join(complement(join(X0,X0)),X1)),
inference(superposition,[],[f2,f251]) ).
fof(f783,plain,
! [X0] : complement(zero) = join(complement(complement(X0)),complement(join(zero,join(X0,X0)))),
inference(forward_demodulation,[],[f780,f248]) ).
fof(f786,plain,
! [X0] : complement(zero) = join(X0,complement(join(zero,join(X0,X0)))),
inference(forward_demodulation,[],[f783,f248]) ).
fof(f867,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(join(complement(join(X0,complement(X1))),join(X1,X0))),complement(complement(X0))),
inference(superposition,[],[f264,f276]) ).
fof(f877,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(complement(join(X0,complement(X1))),join(X1,X0)))),
inference(forward_demodulation,[],[f867,f1]) ).
fof(f905,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(join(X1,X0),complement(join(X0,complement(X1)))))),
inference(forward_demodulation,[],[f877,f1]) ).
fof(f925,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(X1,join(X0,complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f905,f2]) ).
fof(f941,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(X0,complement(join(X1,join(X0,complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f925,f248]) ).
fof(f953,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X1,join(X0,complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f941,f248]) ).
fof(f1089,plain,
! [X0] : converse(converse(X0)) = composition(converse(sF0),X0),
inference(superposition,[],[f480,f47]) ).
fof(f1107,plain,
! [X0] : composition(converse(sF0),X0) = X0,
inference(forward_demodulation,[],[f1089,f10]) ).
fof(f1153,plain,
! [X0] : complement(complement(join(X0,X0))) = join(complement(complement(X0)),complement(join(complement(zero),complement(join(X0,X0))))),
inference(superposition,[],[f360,f251]) ).
fof(f1212,plain,
! [X0] : complement(complement(join(X0,X0))) = join(X0,complement(join(complement(zero),complement(join(X0,X0))))),
inference(forward_demodulation,[],[f1153,f248]) ).
fof(f1242,plain,
! [X0] : join(X0,X0) = join(X0,complement(join(complement(zero),complement(join(X0,X0))))),
inference(forward_demodulation,[],[f1212,f248]) ).
fof(f1302,plain,
! [X0] : complement(X0) = join(complement(X0),composition(sF0,complement(X0))),
inference(superposition,[],[f100,f1107]) ).
fof(f1306,plain,
! [X0,X1] : join(X0,composition(X1,X0)) = composition(join(converse(sF0),X1),X0),
inference(superposition,[],[f9,f1107]) ).
fof(f1317,plain,
sF0 = converse(sF0),
inference(superposition,[],[f47,f1107]) ).
fof(f1322,plain,
! [X0] : composition(sF0,X0) = X0,
inference(backward_demodulation,[],[f1107,f1317]) ).
fof(f1334,plain,
! [X0,X1] : join(X0,composition(X1,X0)) = composition(join(sF0,X1),X0),
inference(forward_demodulation,[],[f1306,f1317]) ).
fof(f1338,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(backward_demodulation,[],[f1302,f1322]) ).
fof(f1350,plain,
( ! [X0,X1] : join(X0,X1) = join(zero,join(X1,complement(complement(X0))))
| ~ spl7_13 ),
inference(backward_demodulation,[],[f652,f1338]) ).
fof(f1355,plain,
( ! [X0,X1] : join(X0,X1) = join(zero,join(X1,X0))
| ~ spl7_13 ),
inference(forward_demodulation,[],[f1350,f248]) ).
fof(f1357,plain,
( ! [X0] : complement(zero) = join(X0,complement(join(X0,X0)))
| ~ spl7_13 ),
inference(backward_demodulation,[],[f786,f1355]) ).
fof(f1358,plain,
( ! [X0,X1] : join(complement(X0),X1) = join(X1,complement(join(X0,X0)))
| ~ spl7_13 ),
inference(backward_demodulation,[],[f781,f1355]) ).
fof(f1359,plain,
( ! [X0] : join(X0,X0) = join(X0,complement(join(complement(X0),complement(zero))))
| ~ spl7_13 ),
inference(backward_demodulation,[],[f1242,f1358]) ).
fof(f1360,plain,
( ! [X0] : complement(X0) = join(complement(X0),zero)
| ~ spl7_13 ),
inference(backward_demodulation,[],[f251,f1358]) ).
fof(f1361,plain,
( ! [X0] : join(complement(X0),X0) = complement(zero)
| ~ spl7_13 ),
inference(forward_demodulation,[],[f1357,f1358]) ).
fof(f1362,plain,
( ! [X0] : complement(X0) = join(zero,complement(X0))
| ~ spl7_13 ),
inference(forward_demodulation,[],[f1360,f1]) ).
fof(f1363,plain,
( ! [X0] : join(X0,complement(X0)) = complement(zero)
| ~ spl7_13 ),
inference(forward_demodulation,[],[f1361,f1]) ).
fof(f1368,plain,
( top = complement(zero)
| ~ spl7_13 ),
inference(forward_demodulation,[],[f1363,f15]) ).
fof(f1369,plain,
( ! [X0] : join(X0,X0) = join(X0,complement(join(complement(X0),top)))
| ~ spl7_13 ),
inference(backward_demodulation,[],[f1359,f1368]) ).
fof(f1373,plain,
( ! [X0] : join(X0,X0) = join(X0,complement(join(top,complement(X0))))
| ~ spl7_13 ),
inference(forward_demodulation,[],[f1369,f1]) ).
fof(f1377,definition,
( spl7_15
<=> top = complement(zero) ),
introduced(definition,[new_symbols(definition,[spl7_15])],[avatar_definition]) ).
fof(f1379,plain,
( top = complement(zero)
| ~ spl7_15 ),
inference(avatar_component_clause,[],[f1377]) ).
fof(f1380,plain,
( spl7_15
| ~ spl7_13 ),
inference(avatar_split_clause,[],[f1368,f456,f1377]) ).
fof(f1395,plain,
( ! [X0] : complement(complement(X0)) = join(complement(complement(X0)),complement(join(complement(zero),complement(X0))))
| ~ spl7_13 ),
inference(superposition,[],[f360,f1362]) ).
fof(f1396,plain,
( ! [X0] : complement(complement(X0)) = join(complement(complement(X0)),complement(join(top,complement(X0))))
| ~ spl7_13
| ~ spl7_15 ),
inference(forward_demodulation,[],[f1395,f1379]) ).
fof(f1404,plain,
( ! [X0] : join(X0,complement(join(top,complement(X0)))) = X0
| ~ spl7_13
| ~ spl7_15 ),
inference(forward_demodulation,[],[f1396,f248]) ).
fof(f1410,plain,
( ! [X0] : join(X0,X0) = X0
| ~ spl7_13
| ~ spl7_15 ),
inference(forward_demodulation,[],[f1404,f1373]) ).
fof(f1468,plain,
( ! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1))
| ~ spl7_13
| ~ spl7_15 ),
inference(superposition,[],[f2,f1410]) ).
fof(f1539,plain,
( composition(join(sF0,sk1),sk2) = join(sk2,sF2)
| ~ spl7_3 ),
inference(superposition,[],[f1334,f65]) ).
fof(f1548,plain,
( ! [X0] : composition(sF0,X0) = join(X0,composition(sk1,X0))
| ~ spl7_9 ),
inference(superposition,[],[f1334,f200]) ).
fof(f1606,plain,
( ! [X0] : join(X0,composition(sk1,X0)) = X0
| ~ spl7_9 ),
inference(forward_demodulation,[],[f1548,f1322]) ).
fof(f1611,plain,
( composition(join(sF0,sk1),sk2) = join(sF2,sk2)
| ~ spl7_3 ),
inference(forward_demodulation,[],[f1539,f1]) ).
fof(f1629,plain,
( composition(sF0,sk2) = join(sF2,sk2)
| ~ spl7_3
| ~ spl7_9 ),
inference(forward_demodulation,[],[f1611,f200]) ).
fof(f1639,plain,
( sk2 = join(sF2,sk2)
| ~ spl7_3
| ~ spl7_9 ),
inference(forward_demodulation,[],[f1629,f1322]) ).
fof(f1758,plain,
( ! [X0,X1] : join(X0,X1) = join(X0,join(composition(sk1,X0),X1))
| ~ spl7_9 ),
inference(superposition,[],[f2,f1606]) ).
fof(f1856,plain,
( ! [X0,X1] : join(X0,composition(sk1,X1)) = join(X0,composition(sk1,join(X0,X1)))
| ~ spl7_9 ),
inference(superposition,[],[f1758,f532]) ).
fof(f2019,plain,
( ! [X0] : join(X0,composition(sk1,complement(X0))) = join(X0,composition(sk1,top))
| ~ spl7_9 ),
inference(superposition,[],[f1856,f15]) ).
fof(f2133,definition,
( spl7_16
<=> sk2 = join(sF2,sk2) ),
introduced(definition,[new_symbols(definition,[spl7_16])],[avatar_definition]) ).
fof(f2135,plain,
( sk2 = join(sF2,sk2)
| ~ spl7_16 ),
inference(avatar_component_clause,[],[f2133]) ).
fof(f2136,plain,
( spl7_16
| ~ spl7_3
| ~ spl7_9 ),
inference(avatar_split_clause,[],[f1639,f198,f63,f2133]) ).
fof(f2139,plain,
( complement(sF2) = join(complement(sk2),complement(join(sF2,complement(sk2))))
| ~ spl7_16 ),
inference(superposition,[],[f270,f2135]) ).
fof(f2144,plain,
( complement(sF2) = join(sF4,complement(join(sF2,sF4)))
| ~ spl7_7
| ~ spl7_16 ),
inference(forward_demodulation,[],[f2139,f85]) ).
fof(f2147,plain,
( complement(sF2) = join(sF4,complement(join(sF4,sF2)))
| ~ spl7_7
| ~ spl7_16 ),
inference(forward_demodulation,[],[f2144,f1]) ).
fof(f2431,plain,
( ! [X0,X1] : join(X1,X0) = join(X0,join(X1,X0))
| ~ spl7_13
| ~ spl7_15 ),
inference(superposition,[],[f165,f1410]) ).
fof(f3183,plain,
( ! [X0,X1] : complement(X0) = join(complement(join(X1,X0)),complement(X0))
| ~ spl7_13
| ~ spl7_15 ),
inference(superposition,[],[f1468,f276]) ).
fof(f3245,plain,
( ! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X1,X0)))
| ~ spl7_13
| ~ spl7_15 ),
inference(forward_demodulation,[],[f3183,f1]) ).
fof(f3263,plain,
( ! [X0,X1] : join(X0,X1) = join(X0,complement(join(X0,complement(X1))))
| ~ spl7_13
| ~ spl7_15 ),
inference(backward_demodulation,[],[f424,f3245]) ).
fof(f3271,plain,
( ! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X1,join(X0,X1))))
| ~ spl7_13
| ~ spl7_15 ),
inference(backward_demodulation,[],[f953,f3263]) ).
fof(f3279,plain,
( ! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,X1)))
| ~ spl7_13
| ~ spl7_15 ),
inference(forward_demodulation,[],[f3271,f2431]) ).
fof(f3304,plain,
( complement(sF2) = join(sF4,complement(sF2))
| ~ spl7_7
| ~ spl7_13
| ~ spl7_15
| ~ spl7_16 ),
inference(backward_demodulation,[],[f2147,f3279]) ).
fof(f3942,plain,
( ! [X0,X1] : join(X1,complement(X0)) = join(X1,complement(join(X0,X1)))
| ~ spl7_13
| ~ spl7_15 ),
inference(superposition,[],[f3279,f1]) ).
fof(f3979,plain,
( join(sF0,complement(sk2)) = join(sF0,complement(sF0))
| ~ spl7_10
| ~ spl7_13
| ~ spl7_15 ),
inference(superposition,[],[f3279,f206]) ).
fof(f4038,plain,
( top = join(sF0,complement(sk2))
| ~ spl7_10
| ~ spl7_13
| ~ spl7_15 ),
inference(forward_demodulation,[],[f3979,f15]) ).
fof(f4087,plain,
( top = join(sF0,sF4)
| ~ spl7_7
| ~ spl7_10
| ~ spl7_13
| ~ spl7_15 ),
inference(forward_demodulation,[],[f4038,f85]) ).
fof(f4121,plain,
( top = join(sF4,sF0)
| ~ spl7_7
| ~ spl7_10
| ~ spl7_13
| ~ spl7_15 ),
inference(forward_demodulation,[],[f4087,f1]) ).
fof(f4301,plain,
( join(sF4,complement(sF3)) = join(sF4,complement(sF5))
| ~ spl7_8
| ~ spl7_13
| ~ spl7_15 ),
inference(superposition,[],[f3942,f188]) ).
fof(f4360,plain,
( join(sF4,complement(sF3)) = join(sF4,sF6)
| ~ spl7_2
| ~ spl7_8
| ~ spl7_13
| ~ spl7_15 ),
inference(forward_demodulation,[],[f4301,f60]) ).
fof(f4404,plain,
( join(sF4,sk1) = join(sF4,sF6)
| ~ spl7_2
| ~ spl7_8
| ~ spl7_11
| ~ spl7_13
| ~ spl7_15 ),
inference(forward_demodulation,[],[f4360,f352]) ).
fof(f4553,definition,
( spl7_22
<=> top = join(sF4,sF0) ),
introduced(definition,[new_symbols(definition,[spl7_22])],[avatar_definition]) ).
fof(f4555,plain,
( top = join(sF4,sF0)
| ~ spl7_22 ),
inference(avatar_component_clause,[],[f4553]) ).
fof(f4556,plain,
( spl7_22
| ~ spl7_7
| ~ spl7_10
| ~ spl7_13
| ~ spl7_15 ),
inference(avatar_split_clause,[],[f4121,f1377,f456,f204,f83,f4553]) ).
fof(f4568,plain,
( join(sF4,composition(sk1,sF0)) = join(sF4,composition(sk1,top))
| ~ spl7_9
| ~ spl7_22 ),
inference(superposition,[],[f1856,f4555]) ).
fof(f4575,plain,
( join(sF4,sk1) = join(sF4,composition(sk1,top))
| ~ spl7_9
| ~ spl7_22 ),
inference(forward_demodulation,[],[f4568,f47]) ).
fof(f4588,plain,
( join(sF4,sF6) = join(sF4,composition(sk1,top))
| ~ spl7_2
| ~ spl7_8
| ~ spl7_9
| ~ spl7_11
| ~ spl7_13
| ~ spl7_15
| ~ spl7_22 ),
inference(forward_demodulation,[],[f4575,f4404]) ).
fof(f4865,plain,
( join(sF4,composition(sk1,top)) = join(sF4,composition(sk1,sk2))
| ~ spl7_9
| ~ spl7_12 ),
inference(superposition,[],[f2019,f357]) ).
fof(f4931,plain,
( join(sF4,sF2) = join(sF4,composition(sk1,top))
| ~ spl7_3
| ~ spl7_9
| ~ spl7_12 ),
inference(forward_demodulation,[],[f4865,f65]) ).
fof(f4954,plain,
( join(sF4,sF2) = join(sF4,sF6)
| ~ spl7_2
| ~ spl7_3
| ~ spl7_8
| ~ spl7_9
| ~ spl7_11
| ~ spl7_12
| ~ spl7_13
| ~ spl7_15
| ~ spl7_22 ),
inference(forward_demodulation,[],[f4931,f4588]) ).
fof(f4968,plain,
( join(sF4,sk1) = join(sF4,sF2)
| ~ spl7_2
| ~ spl7_3
| ~ spl7_8
| ~ spl7_9
| ~ spl7_11
| ~ spl7_12
| ~ spl7_13
| ~ spl7_15
| ~ spl7_22 ),
inference(backward_demodulation,[],[f4404,f4954]) ).
fof(f7533,definition,
( spl7_26
<=> join(sF4,sk1) = join(sF4,sF2) ),
introduced(definition,[new_symbols(definition,[spl7_26])],[avatar_definition]) ).
fof(f7535,plain,
( join(sF4,sk1) = join(sF4,sF2)
| ~ spl7_26 ),
inference(avatar_component_clause,[],[f7533]) ).
fof(f7536,plain,
( spl7_26
| ~ spl7_2
| ~ spl7_3
| ~ spl7_8
| ~ spl7_9
| ~ spl7_11
| ~ spl7_12
| ~ spl7_13
| ~ spl7_15
| ~ spl7_22 ),
inference(avatar_split_clause,[],[f4968,f4553,f1377,f456,f355,f350,f198,f186,f63,f58,f7533]) ).
fof(f7550,plain,
( join(sF4,complement(join(sF4,sF2))) = join(sF4,complement(sk1))
| ~ spl7_13
| ~ spl7_15
| ~ spl7_26 ),
inference(superposition,[],[f3279,f7535]) ).
fof(f7553,plain,
( join(sF4,sF3) = join(sF4,complement(join(sF4,sF2)))
| ~ spl7_6
| ~ spl7_13
| ~ spl7_15
| ~ spl7_26 ),
inference(forward_demodulation,[],[f7550,f80]) ).
fof(f7564,plain,
( join(sF4,sF3) = join(sF4,complement(sF2))
| ~ spl7_6
| ~ spl7_13
| ~ spl7_15
| ~ spl7_26 ),
inference(forward_demodulation,[],[f7553,f3279]) ).
fof(f7571,plain,
( complement(sF2) = join(sF4,sF3)
| ~ spl7_6
| ~ spl7_7
| ~ spl7_13
| ~ spl7_15
| ~ spl7_16
| ~ spl7_26 ),
inference(forward_demodulation,[],[f7564,f3304]) ).
fof(f7576,plain,
( join(sF3,sF4) = complement(sF2)
| ~ spl7_6
| ~ spl7_7
| ~ spl7_13
| ~ spl7_15
| ~ spl7_16
| ~ spl7_26 ),
inference(forward_demodulation,[],[f7571,f1]) ).
fof(f7579,plain,
( sF5 = complement(sF2)
| ~ spl7_6
| ~ spl7_7
| ~ spl7_8
| ~ spl7_13
| ~ spl7_15
| ~ spl7_16
| ~ spl7_26 ),
inference(forward_demodulation,[],[f7576,f188]) ).
fof(f7609,definition,
( spl7_27
<=> sF5 = complement(sF2) ),
introduced(definition,[new_symbols(definition,[spl7_27])],[avatar_definition]) ).
fof(f7611,plain,
( sF5 = complement(sF2)
| ~ spl7_27 ),
inference(avatar_component_clause,[],[f7609]) ).
fof(f7612,plain,
( spl7_27
| ~ spl7_6
| ~ spl7_7
| ~ spl7_8
| ~ spl7_13
| ~ spl7_15
| ~ spl7_16
| ~ spl7_26 ),
inference(avatar_split_clause,[],[f7579,f7533,f2133,f1377,f456,f186,f83,f78,f7609]) ).
fof(f7613,plain,
( ! [X0] : sF2 = join(complement(join(sF5,complement(X0))),complement(join(sF5,X0)))
| ~ spl7_27 ),
inference(superposition,[],[f4,f7611]) ).
fof(f7645,plain,
( ! [X0] : sF2 = join(complement(join(sF5,X0)),complement(join(sF5,complement(X0))))
| ~ spl7_27 ),
inference(forward_demodulation,[],[f7613,f1]) ).
fof(f7649,plain,
( sF2 = complement(sF5)
| ~ spl7_27 ),
inference(forward_demodulation,[],[f7645,f270]) ).
fof(f7651,plain,
( sF2 = sF6
| ~ spl7_2
| ~ spl7_27 ),
inference(forward_demodulation,[],[f7649,f60]) ).
fof(f7653,plain,
( $false
| ~ spl7_2
| spl7_5
| ~ spl7_27 ),
inference(forward_subsumption_resolution,[],[f7651,f75]) ).
fof(f7654,plain,
( ~ spl7_2
| spl7_5
| ~ spl7_27 ),
inference(avatar_contradiction_clause,[],[f7653]) ).
cnf(s2,plain,
spl7_2,
inference(sat_conversion,[],[f61]) ).
cnf(s3,plain,
spl7_3,
inference(sat_conversion,[],[f66]) ).
cnf(s5,plain,
~ spl7_5,
inference(sat_conversion,[],[f76]) ).
cnf(s6,plain,
spl7_6,
inference(sat_conversion,[],[f81]) ).
cnf(s7,plain,
spl7_7,
inference(sat_conversion,[],[f86]) ).
cnf(s8,plain,
spl7_8,
inference(sat_conversion,[],[f189]) ).
cnf(s9,plain,
spl7_9,
inference(sat_conversion,[],[f201]) ).
cnf(s10,plain,
spl7_10,
inference(sat_conversion,[],[f207]) ).
cnf(s11,plain,
( ~ spl7_6
| spl7_11 ),
inference(sat_conversion,[],[f353]) ).
cnf(s12,plain,
( ~ spl7_7
| spl7_12 ),
inference(sat_conversion,[],[f358]) ).
cnf(s13,plain,
spl7_13,
inference(sat_conversion,[],[f459]) ).
cnf(s15,plain,
( ~ spl7_13
| spl7_15 ),
inference(sat_conversion,[],[f1380]) ).
cnf(s16,plain,
( ~ spl7_3
| ~ spl7_9
| spl7_16 ),
inference(sat_conversion,[],[f2136]) ).
cnf(s22,plain,
( ~ spl7_7
| ~ spl7_10
| ~ spl7_13
| ~ spl7_15
| spl7_22 ),
inference(sat_conversion,[],[f4556]) ).
cnf(s26,plain,
( ~ spl7_2
| ~ spl7_3
| ~ spl7_8
| ~ spl7_9
| ~ spl7_11
| ~ spl7_12
| ~ spl7_13
| ~ spl7_15
| ~ spl7_22
| spl7_26 ),
inference(sat_conversion,[],[f7536]) ).
cnf(s27,plain,
( ~ spl7_6
| ~ spl7_7
| ~ spl7_8
| ~ spl7_13
| ~ spl7_15
| ~ spl7_16
| ~ spl7_26
| spl7_27 ),
inference(sat_conversion,[],[f7612]) ).
cnf(s29,plain,
( ~ spl7_2
| spl7_5
| ~ spl7_27 ),
inference(sat_conversion,[],[f7654]) ).
cnf(s30,plain,
spl7_15,
inference(rat,[],[s15,s13]) ).
cnf(s32,plain,
spl7_22,
inference(rat,[],[s22,s10,s30,s13,s7]) ).
cnf(s33,plain,
spl7_12,
inference(rat,[],[s12,s7]) ).
cnf(s36,plain,
spl7_11,
inference(rat,[],[s11,s6]) ).
cnf(s37,plain,
spl7_16,
inference(rat,[],[s16,s9,s3]) ).
cnf(s39,plain,
~ spl7_27,
inference(rat,[],[s29,s5,s2]) ).
cnf(s40,plain,
spl7_26,
inference(rat,[],[s26,s3,s32,s30,s13,s33,s36,s9,s8,s2]) ).
cnf(s44,plain,
$false,
inference(rat,[],[s27,s37,s6,s7,s30,s13,s8,s39,s40]) ).
fof(f7656,plain,
$false,
inference(avatar_sat_refutation,[],[s44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : REL028-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n014.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 22:53:16 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 11.43/2.44 % (1259766)Detected a unit-equality problem, will run specialized UEQ schedule.
% 11.43/2.44 % (1259773)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1346002868:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 11.43/2.44 % (1259777)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=4006080327:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 11.43/2.44 % (1259774)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1995451237:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 11.43/2.44 % (1259775)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1895322000:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 11.43/2.44 % (1259771)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=468152543:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 11.43/2.44 % (1259772)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=323715881:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 11.43/2.44 % (1259776)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3851633556:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 11.43/2.44 % (1259774)Instruction limit reached!
% 11.43/2.44 % (1259774)------------------------------
% 11.43/2.44 % (1259774)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.43/2.44 % (1259774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.43/2.44 % (1259774)CaDiCaL version: 2.1.3
% 11.43/2.44 % (1259774)Termination reason: Instruction limit
% 11.43/2.44 % (1259774)Termination phase: Saturation
% 11.43/2.44 % (1259774)Time elapsed: 0.082 s
% 11.43/2.44 % (1259774)Peak memory usage: 89 MB
% 11.43/2.44 % (1259774)Instructions burned: 136 (million)
% 11.43/2.44 % (1259775)Instruction limit reached!
% 11.43/2.44 % (1259775)------------------------------
% 11.43/2.44 % (1259775)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.43/2.44 % (1259775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.43/2.44 % (1259775)CaDiCaL version: 2.1.3
% 11.43/2.44 % (1259775)Termination reason: Instruction limit
% 11.43/2.44 % (1259775)Termination phase: Saturation
% 11.43/2.44 % (1259775)Time elapsed: 0.105 s
% 11.43/2.44 % (1259775)Peak memory usage: 89 MB
% 11.43/2.44 % (1259775)Instructions burned: 181 (million)
% 11.43/2.44 % (1259776)Instruction limit reached!
% 11.43/2.44 % (1259776)------------------------------
% 11.43/2.44 % (1259776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.43/2.44 % (1259776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.43/2.44 % (1259776)CaDiCaL version: 2.1.3
% 11.43/2.44 % (1259776)Termination reason: Instruction limit
% 11.43/2.44 % (1259776)Termination phase: Saturation
% 11.43/2.44 % (1259776)Time elapsed: 0.168 s
% 11.43/2.44 % (1259776)Peak memory usage: 90 MB
% 11.43/2.44 % (1259776)Instructions burned: 257 (million)
% 11.43/2.44 % (1259785)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3497088192:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 11.43/2.44 % (1259786)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1767949461:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 11.43/2.44 % (1259787)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2791637375:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 11.43/2.44 % (1259787)Instruction limit reached!
% 11.43/2.44 % (1259787)------------------------------
% 11.43/2.44 % (1259787)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.43/2.44 % (1259787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.43/2.44 % (1259787)CaDiCaL version: 2.1.3
% 11.43/2.44 % (1259787)Termination reason: Instruction limit
% 11.43/2.44 % (1259787)Termination phase: Saturation
% 11.43/2.44 % (1259787)Time elapsed: 0.119 s
% 11.43/2.44 % (1259787)Peak memory usage: 92 MB
% 11.43/2.44 % (1259787)Instructions burned: 216 (million)
% 11.43/2.44 % (1259791)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=2147742672: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)
% 11.43/2.44 % (1259777)Instruction limit reached!
% 11.43/2.44 % (1259777)------------------------------
% 11.43/2.44 % (1259777)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.43/2.44 % (1259777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.43/2.44 % (1259777)CaDiCaL version: 2.1.3
% 11.43/2.44 % (1259777)Termination reason: Instruction limit
% 11.43/2.44 % (1259777)Termination phase: Saturation
% 11.43/2.44 % (1259777)Time elapsed: 0.638 s
% 11.43/2.44 % (1259777)Peak memory usage: 100 MB
% 11.43/2.44 % (1259777)Instructions burned: 1187 (million)
% 11.43/2.44 % (1259793)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=2553983710:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2991 on theBenchmark for (2991ds/12125Mi)
% 11.43/2.44 % (1259791)Instruction limit reached!
% 11.43/2.44 % (1259791)------------------------------
% 11.43/2.44 % (1259791)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.43/2.44 % (1259791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.43/2.44 % (1259791)CaDiCaL version: 2.1.3
% 11.43/2.44 % (1259791)Termination reason: Instruction limit
% 11.43/2.44 % (1259791)Termination phase: Saturation
% 11.43/2.44 % (1259791)Time elapsed: 0.201 s
% 11.43/2.44 % (1259791)Peak memory usage: 93 MB
% 11.43/2.44 % (1259791)Instructions burned: 318 (million)
% 11.43/2.44 % (1259795)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=2494040579:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2990 on theBenchmark for (2990ds/2836Mi)
% 11.43/2.44 % (1259771)First to succeed.
% 11.43/2.44 % (1259771)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1259766"
% 11.43/2.44 % (1259771)Refutation found. Thanks to Tanya!
% 11.43/2.44 % SZS status Unsatisfiable for theBenchmark
% 11.43/2.44 % SZS output start Proof for theBenchmark
% See solution above
% 11.85/2.63 % (1259771)------------------------------
% 11.85/2.63 % (1259771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.85/2.63 % (1259771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.85/2.63 % (1259771)CaDiCaL version: 2.1.3
% 11.85/2.63 % (1259771)Termination reason: Refutation
% 11.85/2.63 % (1259771)Time elapsed: 1.164 s
% 11.85/2.63 % (1259771)Peak memory usage: 137 MB
% 11.85/2.63 % (1259771)Instructions burned: 1827 (million)
% 11.85/2.63 % (1259771)------------------------------
% 11.85/2.63 % (1259771)------------------------------
% 11.85/2.63 % (1259766)Success in time 1.59 s
% 11.85/2.63 % Vampire exiting
%------------------------------------------------------------------------------