%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL022-2 : 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 : 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 12:33:49 PM UTC 2026
% Result : Unsatisfiable 12.37s 2.65s
% Output : Refutation 13.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 48
% Syntax : Number of formulae : 337 ( 134 unt; 33 def)
% Number of atoms : 788 ( 274 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 887 ( 436 ~; 428 |; 0 &)
% ( 23 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 25 ( 23 usr; 24 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 15 con; 0-2 aty)
% Number of variables : 212 ( 0 sgn 212 !; 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(f23,negated_conjecture,
composition(sk1,top) = sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_17) ).
fof(f24,plain,
sk1 = composition(sk1,top),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
join(meet(sk1,sk2),composition(meet(sk1,one),sk2)) != composition(meet(sk1,one),sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_18) ).
fof(f26,plain,
composition(meet(sk1,one),sk2) != join(meet(sk1,sk2),composition(meet(sk1,one),sk2)),
inference(reorient_equations,[],[f25]) ).
fof(f27,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f16,f6]) ).
fof(f31,plain,
composition(complement(join(complement(sk1),complement(one))),sk2) != join(complement(join(complement(sk1),complement(sk2))),composition(complement(join(complement(sk1),complement(one))),sk2)),
inference(definition_unfolding,[],[f26,f6,f6,f6]) ).
fof(f32,definition,
sF0 = composition(sk1,top),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f33,plain,
composition(sk1,top) = sF0,
inference(reorient_equations,[],[f32]) ).
fof(f34,plain,
sk1 = sF0,
inference(definition_folding,[],[f24,f33]) ).
fof(f35,definition,
sF1 = complement(sk1),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f36,plain,
complement(sk1) = sF1,
inference(reorient_equations,[],[f35]) ).
fof(f37,definition,
sF2 = complement(one),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f38,plain,
complement(one) = sF2,
inference(reorient_equations,[],[f37]) ).
fof(f39,definition,
sF3 = join(sF1,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f40,plain,
join(sF1,sF2) = sF3,
inference(reorient_equations,[],[f39]) ).
fof(f41,definition,
sF4 = complement(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f42,plain,
complement(sF3) = sF4,
inference(reorient_equations,[],[f41]) ).
fof(f43,definition,
sF5 = composition(sF4,sk2),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f44,plain,
composition(sF4,sk2) = sF5,
inference(reorient_equations,[],[f43]) ).
fof(f45,definition,
sF6 = complement(sk2),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f46,plain,
complement(sk2) = sF6,
inference(reorient_equations,[],[f45]) ).
fof(f47,definition,
sF7 = join(sF1,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f48,plain,
join(sF1,sF6) = sF7,
inference(reorient_equations,[],[f47]) ).
fof(f49,definition,
sF8 = complement(sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f50,plain,
complement(sF7) = sF8,
inference(reorient_equations,[],[f49]) ).
fof(f51,definition,
sF9 = join(sF8,sF5),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f52,plain,
join(sF8,sF5) = sF9,
inference(reorient_equations,[],[f51]) ).
fof(f53,plain,
sF5 != sF9,
inference(definition_folding,[],[f31,f52,f44,f42,f40,f38,f36,f50,f48,f46,f36,f44,f42,f40,f38,f36]) ).
fof(f54,plain,
zero = complement(top),
inference(backward_demodulation,[],[f27,f15]) ).
fof(f55,plain,
sF0 = composition(sF0,top),
inference(forward_demodulation,[],[f33,f34]) ).
fof(f56,plain,
sF1 = complement(sF0),
inference(forward_demodulation,[],[f36,f34]) ).
fof(f57,plain,
sF3 = join(sF2,sF1),
inference(forward_demodulation,[],[f40,f1]) ).
fof(f58,plain,
sF7 = join(sF6,sF1),
inference(forward_demodulation,[],[f48,f1]) ).
fof(f66,definition,
( spl10_1
<=> sF0 = composition(sF0,top) ),
introduced(definition,[new_symbols(definition,[spl10_1])],[avatar_definition]) ).
fof(f68,plain,
( sF0 = composition(sF0,top)
| ~ spl10_1 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f69,plain,
spl10_1,
inference(avatar_split_clause,[],[f55,f66]) ).
fof(f78,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f4,f1]) ).
fof(f80,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(superposition,[],[f4,f1]) ).
fof(f84,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(forward_demodulation,[],[f78,f1]) ).
fof(f96,definition,
( spl10_3
<=> zero = complement(top) ),
introduced(definition,[new_symbols(definition,[spl10_3])],[avatar_definition]) ).
fof(f98,plain,
( zero = complement(top)
| ~ spl10_3 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f99,plain,
spl10_3,
inference(avatar_split_clause,[],[f54,f96]) ).
fof(f101,definition,
( spl10_4
<=> sF5 = sF9 ),
introduced(definition,[new_symbols(definition,[spl10_4])],[avatar_definition]) ).
fof(f103,plain,
( sF5 != sF9
| spl10_4 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f104,plain,
~ spl10_4,
inference(avatar_split_clause,[],[f53,f101]) ).
fof(f106,definition,
( spl10_5
<=> composition(sF4,sk2) = sF5 ),
introduced(definition,[new_symbols(definition,[spl10_5])],[avatar_definition]) ).
fof(f108,plain,
( composition(sF4,sk2) = sF5
| ~ spl10_5 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f109,plain,
spl10_5,
inference(avatar_split_clause,[],[f44,f106]) ).
fof(f115,plain,
! [X0] : join(complement(join(complement(X0),complement(complement(complement(X0))))),complement(top)) = X0,
inference(superposition,[],[f4,f15]) ).
fof(f116,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(forward_demodulation,[],[f115,f1]) ).
fof(f118,plain,
( ! [X0] : join(zero,complement(join(complement(X0),complement(complement(complement(X0)))))) = X0
| ~ spl10_3 ),
inference(forward_demodulation,[],[f116,f98]) ).
fof(f120,definition,
( spl10_6
<=> sF1 = complement(sF0) ),
introduced(definition,[new_symbols(definition,[spl10_6])],[avatar_definition]) ).
fof(f122,plain,
( sF1 = complement(sF0)
| ~ spl10_6 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f123,plain,
spl10_6,
inference(avatar_split_clause,[],[f56,f120]) ).
fof(f130,plain,
! [X0,X1] : complement(X1) = join(composition(X0,complement(composition(converse(X0),X1))),complement(X1)),
inference(superposition,[],[f14,f10]) ).
fof(f139,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(X0,complement(composition(converse(X0),X1)))),
inference(forward_demodulation,[],[f130,f1]) ).
fof(f142,definition,
( spl10_7
<=> join(sF8,sF5) = sF9 ),
introduced(definition,[new_symbols(definition,[spl10_7])],[avatar_definition]) ).
fof(f144,plain,
( join(sF8,sF5) = sF9
| ~ spl10_7 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f145,plain,
spl10_7,
inference(avatar_split_clause,[],[f52,f142]) ).
fof(f147,definition,
( spl10_8
<=> complement(sk2) = sF6 ),
introduced(definition,[new_symbols(definition,[spl10_8])],[avatar_definition]) ).
fof(f149,plain,
( complement(sk2) = sF6
| ~ spl10_8 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f150,plain,
spl10_8,
inference(avatar_split_clause,[],[f46,f147]) ).
fof(f159,plain,
( complement(top) = join(composition(converse(sF0),complement(sF0)),complement(top))
| ~ spl10_1 ),
inference(superposition,[],[f14,f68]) ).
fof(f163,plain,
( complement(top) = join(complement(top),composition(converse(sF0),complement(sF0)))
| ~ spl10_1 ),
inference(forward_demodulation,[],[f159,f1]) ).
fof(f165,plain,
( complement(top) = join(complement(top),composition(converse(sF0),sF1))
| ~ spl10_1
| ~ spl10_6 ),
inference(forward_demodulation,[],[f163,f122]) ).
fof(f166,plain,
( zero = join(zero,composition(converse(sF0),sF1))
| ~ spl10_1
| ~ spl10_3
| ~ spl10_6 ),
inference(forward_demodulation,[],[f165,f98]) ).
fof(f169,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f2,f15]) ).
fof(f171,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(f179,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f1,f2]) ).
fof(f182,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(X2,complement(join(complement(X0),complement(X1))))),
inference(forward_demodulation,[],[f171,f179]) ).
fof(f188,definition,
( spl10_9
<=> complement(sF7) = sF8 ),
introduced(definition,[new_symbols(definition,[spl10_9])],[avatar_definition]) ).
fof(f190,plain,
( complement(sF7) = sF8
| ~ spl10_9 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f191,plain,
spl10_9,
inference(avatar_split_clause,[],[f50,f188]) ).
fof(f193,plain,
( top = join(sF7,sF8)
| ~ spl10_9 ),
inference(superposition,[],[f15,f190]) ).
fof(f203,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f11,f10]) ).
fof(f222,definition,
( spl10_10
<=> sF7 = join(sF6,sF1) ),
introduced(definition,[new_symbols(definition,[spl10_10])],[avatar_definition]) ).
fof(f224,plain,
( sF7 = join(sF6,sF1)
| ~ spl10_10 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f225,plain,
spl10_10,
inference(avatar_split_clause,[],[f58,f222]) ).
fof(f226,plain,
( ! [X0] : join(sF6,join(sF1,X0)) = join(sF7,X0)
| ~ spl10_10 ),
inference(superposition,[],[f2,f224]) ).
fof(f228,definition,
( spl10_11
<=> sF3 = join(sF2,sF1) ),
introduced(definition,[new_symbols(definition,[spl10_11])],[avatar_definition]) ).
fof(f230,plain,
( sF3 = join(sF2,sF1)
| ~ spl10_11 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f231,plain,
spl10_11,
inference(avatar_split_clause,[],[f57,f228]) ).
fof(f234,definition,
( spl10_12
<=> complement(sF3) = sF4 ),
introduced(definition,[new_symbols(definition,[spl10_12])],[avatar_definition]) ).
fof(f236,plain,
( complement(sF3) = sF4
| ~ spl10_12 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f237,plain,
spl10_12,
inference(avatar_split_clause,[],[f42,f234]) ).
fof(f296,definition,
( spl10_13
<=> complement(one) = sF2 ),
introduced(definition,[new_symbols(definition,[spl10_13])],[avatar_definition]) ).
fof(f298,plain,
( complement(one) = sF2
| ~ spl10_13 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f299,plain,
spl10_13,
inference(avatar_split_clause,[],[f38,f296]) ).
fof(f314,plain,
! [X0,X1] : composition(converse(X1),X0) = converse(composition(converse(X0),X1)),
inference(superposition,[],[f12,f10]) ).
fof(f315,plain,
! [X0,X1] : complement(converse(X0)) = join(composition(converse(converse(X1)),complement(converse(composition(X0,X1)))),complement(converse(X0))),
inference(superposition,[],[f14,f12]) ).
fof(f317,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(f318,plain,
! [X0,X1] : complement(converse(X0)) = join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))),
inference(forward_demodulation,[],[f315,f1]) ).
fof(f319,plain,
! [X0,X1] : complement(converse(X0)) = join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))),
inference(forward_demodulation,[],[f318,f10]) ).
fof(f325,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f317,f12]) ).
fof(f335,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f325,f11]) ).
fof(f338,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f335,f11]) ).
fof(f340,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f338,f12]) ).
fof(f353,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f10,f340]) ).
fof(f365,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f353,f10]) ).
fof(f386,plain,
! [X0,X1] : composition(X0,join(one,X1)) = join(X0,composition(X0,X1)),
inference(superposition,[],[f365,f8]) ).
fof(f390,plain,
! [X0,X1] : composition(X0,join(X1,one)) = join(composition(X0,X1),X0),
inference(superposition,[],[f365,f8]) ).
fof(f398,plain,
! [X2,X3,X0,X1] : join(composition(X0,join(X1,X2)),X3) = join(composition(X0,X1),join(composition(X0,X2),X3)),
inference(superposition,[],[f2,f365]) ).
fof(f407,plain,
! [X0,X1] : join(X0,composition(X0,X1)) = composition(X0,join(X1,one)),
inference(forward_demodulation,[],[f390,f1]) ).
fof(f443,plain,
! [X0] : complement(X0) = join(complement(join(complement(complement(X0)),X0)),complement(top)),
inference(superposition,[],[f84,f15]) ).
fof(f454,plain,
! [X0] : complement(X0) = join(complement(top),complement(join(complement(complement(X0)),X0))),
inference(forward_demodulation,[],[f443,f1]) ).
fof(f475,plain,
! [X0] : complement(X0) = join(complement(top),complement(join(X0,complement(complement(X0))))),
inference(forward_demodulation,[],[f454,f1]) ).
fof(f483,plain,
( ! [X0] : complement(X0) = join(zero,complement(join(X0,complement(complement(X0)))))
| ~ spl10_3 ),
inference(forward_demodulation,[],[f475,f98]) ).
fof(f489,plain,
( ! [X0] : complement(complement(X0)) = X0
| ~ spl10_3 ),
inference(backward_demodulation,[],[f118,f483]) ).
fof(f493,plain,
( ! [X0] : complement(X0) = join(zero,complement(join(X0,X0)))
| ~ spl10_3 ),
inference(backward_demodulation,[],[f483,f489]) ).
fof(f500,plain,
( one = complement(sF2)
| ~ spl10_3
| ~ spl10_13 ),
inference(superposition,[],[f489,f298]) ).
fof(f501,plain,
( top = complement(zero)
| ~ spl10_3 ),
inference(superposition,[],[f489,f98]) ).
fof(f502,plain,
( sk2 = complement(sF6)
| ~ spl10_3
| ~ spl10_8 ),
inference(superposition,[],[f489,f149]) ).
fof(f503,plain,
( sF0 = complement(sF1)
| ~ spl10_3
| ~ spl10_6 ),
inference(superposition,[],[f489,f122]) ).
fof(f505,plain,
( sF7 = complement(sF8)
| ~ spl10_3
| ~ spl10_9 ),
inference(superposition,[],[f489,f190]) ).
fof(f510,plain,
( ! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(X0,complement(X1))))
| ~ spl10_3 ),
inference(superposition,[],[f80,f489]) ).
fof(f513,plain,
( ! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(X1),X0)))
| ~ spl10_3 ),
inference(superposition,[],[f84,f489]) ).
fof(f538,plain,
( complement(sF2) = join(complement(sF3),complement(join(sF2,complement(sF1))))
| ~ spl10_3
| ~ spl10_11 ),
inference(superposition,[],[f510,f230]) ).
fof(f573,plain,
( complement(sF2) = join(complement(sF3),complement(join(sF2,sF0)))
| ~ spl10_3
| ~ spl10_6
| ~ spl10_11 ),
inference(forward_demodulation,[],[f538,f503]) ).
fof(f587,plain,
( complement(sF2) = join(sF4,complement(join(sF2,sF0)))
| ~ spl10_3
| ~ spl10_6
| ~ spl10_11
| ~ spl10_12 ),
inference(forward_demodulation,[],[f573,f236]) ).
fof(f598,plain,
( one = join(sF4,complement(join(sF2,sF0)))
| ~ spl10_3
| ~ spl10_6
| ~ spl10_11
| ~ spl10_12
| ~ spl10_13 ),
inference(forward_demodulation,[],[f587,f500]) ).
fof(f610,definition,
( spl10_14
<=> sk2 = complement(sF6) ),
introduced(definition,[new_symbols(definition,[spl10_14])],[avatar_definition]) ).
fof(f612,plain,
( sk2 = complement(sF6)
| ~ spl10_14 ),
inference(avatar_component_clause,[],[f610]) ).
fof(f613,plain,
( spl10_14
| ~ spl10_3
| ~ spl10_8 ),
inference(avatar_split_clause,[],[f502,f147,f96,f610]) ).
fof(f615,plain,
( ! [X0,X1] : complement(X1) = join(complement(join(X0,X1)),complement(join(complement(X0),X1)))
| ~ spl10_3 ),
inference(superposition,[],[f513,f1]) ).
fof(f637,plain,
( ! [X0,X1] : complement(complement(join(complement(X1),X0))) = join(complement(join(complement(join(complement(X1),X0)),join(X0,X1))),complement(complement(X0)))
| ~ spl10_3 ),
inference(superposition,[],[f513,f513]) ).
fof(f654,plain,
( ! [X0,X1] : complement(complement(join(complement(X1),X0))) = join(complement(complement(X0)),complement(join(complement(join(complement(X1),X0)),join(X0,X1))))
| ~ spl10_3 ),
inference(forward_demodulation,[],[f637,f1]) ).
fof(f672,plain,
( ! [X0,X1] : complement(complement(join(complement(X1),X0))) = join(complement(complement(X0)),complement(join(join(X0,X1),complement(join(complement(X1),X0)))))
| ~ spl10_3 ),
inference(forward_demodulation,[],[f654,f1]) ).
fof(f687,plain,
( ! [X0,X1] : complement(complement(join(complement(X1),X0))) = join(complement(complement(X0)),complement(join(X0,join(X1,complement(join(complement(X1),X0))))))
| ~ spl10_3 ),
inference(forward_demodulation,[],[f672,f2]) ).
fof(f700,plain,
( ! [X0,X1] : complement(complement(join(complement(X1),X0))) = join(X0,complement(join(X0,join(X1,complement(join(complement(X1),X0))))))
| ~ spl10_3 ),
inference(forward_demodulation,[],[f687,f489]) ).
fof(f710,plain,
( ! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,join(X1,complement(join(complement(X1),X0))))))
| ~ spl10_3 ),
inference(forward_demodulation,[],[f700,f489]) ).
fof(f771,plain,
! [X0,X1] : join(top,complement(join(complement(X0),X1))) = join(join(complement(X0),complement(X1)),X0),
inference(superposition,[],[f169,f4]) ).
fof(f772,plain,
( ! [X0,X1] : join(top,complement(join(complement(X1),X0))) = join(join(X0,X1),complement(X0))
| ~ spl10_3 ),
inference(superposition,[],[f169,f513]) ).
fof(f776,plain,
! [X0,X1] : join(top,X0) = join(X1,join(X0,complement(X1))),
inference(superposition,[],[f169,f1]) ).
fof(f794,plain,
( ! [X0,X1] : join(X0,join(X1,complement(X0))) = join(top,complement(join(complement(X1),X0)))
| ~ spl10_3 ),
inference(forward_demodulation,[],[f772,f2]) ).
fof(f795,plain,
! [X0,X1] : join(top,complement(join(complement(X0),X1))) = join(complement(X0),join(complement(X1),X0)),
inference(forward_demodulation,[],[f771,f2]) ).
fof(f805,plain,
( ! [X0,X1] : join(top,X1) = join(top,complement(join(complement(X1),X0)))
| ~ spl10_3 ),
inference(forward_demodulation,[],[f794,f776]) ).
fof(f806,plain,
! [X0,X1] : join(top,complement(join(complement(X0),X1))) = join(X0,join(complement(X0),complement(X1))),
inference(forward_demodulation,[],[f795,f179]) ).
fof(f808,plain,
! [X0,X1] : join(top,complement(join(complement(X0),X1))) = join(top,complement(X1)),
inference(forward_demodulation,[],[f806,f169]) ).
fof(f810,plain,
( ! [X0,X1] : join(top,X0) = join(top,complement(X1))
| ~ spl10_3 ),
inference(forward_demodulation,[],[f808,f805]) ).
fof(f833,plain,
( ! [X0,X1] : join(top,complement(X0)) = join(X1,top)
| ~ spl10_3 ),
inference(superposition,[],[f1,f810]) ).
fof(f837,plain,
( ! [X0] : top = join(top,X0)
| ~ spl10_3 ),
inference(superposition,[],[f15,f810]) ).
fof(f866,plain,
( ! [X1] : top = join(X1,top)
| ~ spl10_3 ),
inference(forward_demodulation,[],[f833,f837]) ).
fof(f928,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f314,f8]) ).
fof(f946,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f928,f10]) ).
fof(f964,plain,
! [X0] : complement(X0) = join(complement(X0),composition(one,complement(X0))),
inference(superposition,[],[f139,f946]) ).
fof(f967,plain,
! [X0,X1] : composition(join(converse(one),X1),X0) = join(X0,composition(X1,X0)),
inference(superposition,[],[f9,f946]) ).
fof(f973,plain,
one = converse(one),
inference(superposition,[],[f8,f946]) ).
fof(f976,plain,
! [X0] : composition(one,X0) = X0,
inference(backward_demodulation,[],[f946,f973]) ).
fof(f983,plain,
! [X0,X1] : join(X0,composition(X1,X0)) = composition(join(one,X1),X0),
inference(forward_demodulation,[],[f967,f973]) ).
fof(f989,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(backward_demodulation,[],[f964,f976]) ).
fof(f1005,plain,
( ! [X0] : join(X0,X0) = X0
| ~ spl10_3 ),
inference(superposition,[],[f989,f489]) ).
fof(f1025,plain,
( ! [X0] : complement(X0) = join(zero,complement(X0))
| ~ spl10_3 ),
inference(backward_demodulation,[],[f493,f1005]) ).
fof(f1076,plain,
( ! [X0] : join(zero,X0) = X0
| ~ spl10_3 ),
inference(superposition,[],[f1025,f489]) ).
fof(f1092,plain,
( zero = composition(converse(sF0),sF1)
| ~ spl10_1
| ~ spl10_3
| ~ spl10_6 ),
inference(backward_demodulation,[],[f166,f1076]) ).
fof(f1107,plain,
( ! [X0] : join(X0,zero) = X0
| ~ spl10_3 ),
inference(superposition,[],[f1,f1076]) ).
fof(f1190,plain,
( ! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(X0,complement(join(complement(X0),complement(X1))))
| ~ spl10_3 ),
inference(superposition,[],[f182,f1005]) ).
fof(f1212,plain,
( ! [X0,X1] : complement(complement(X0)) = join(X0,complement(join(complement(X0),complement(X1))))
| ~ spl10_3 ),
inference(forward_demodulation,[],[f1190,f510]) ).
fof(f1248,plain,
( ! [X0,X1] : join(X0,complement(join(complement(X0),complement(X1)))) = X0
| ~ spl10_3 ),
inference(forward_demodulation,[],[f1212,f489]) ).
fof(f1318,plain,
( ! [X0,X1] : join(X1,complement(join(complement(X1),X0))) = X1
| ~ spl10_3 ),
inference(superposition,[],[f1248,f489]) ).
fof(f1367,plain,
( ! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,X1)))
| ~ spl10_3 ),
inference(backward_demodulation,[],[f710,f1318]) ).
fof(f1405,plain,
( ! [X0,X1] : join(complement(X0),X1) = join(X1,complement(join(X0,X1)))
| ~ spl10_3 ),
inference(superposition,[],[f1367,f1]) ).
fof(f1420,plain,
( join(complement(sF1),sF2) = join(sF2,complement(sF3))
| ~ spl10_3
| ~ spl10_11 ),
inference(superposition,[],[f1367,f230]) ).
fof(f1422,plain,
( join(complement(sF5),sF8) = join(sF8,complement(sF9))
| ~ spl10_3
| ~ spl10_7 ),
inference(superposition,[],[f1367,f144]) ).
fof(f1445,plain,
( join(sF8,complement(sF5)) = join(sF8,complement(sF9))
| ~ spl10_3
| ~ spl10_7 ),
inference(forward_demodulation,[],[f1422,f1]) ).
fof(f1447,plain,
( join(complement(sF1),sF2) = join(sF2,sF4)
| ~ spl10_3
| ~ spl10_11
| ~ spl10_12 ),
inference(forward_demodulation,[],[f1420,f236]) ).
fof(f1466,plain,
( join(sF2,complement(sF1)) = join(sF2,sF4)
| ~ spl10_3
| ~ spl10_11
| ~ spl10_12 ),
inference(forward_demodulation,[],[f1447,f1]) ).
fof(f1482,plain,
( join(sF2,sF0) = join(sF2,sF4)
| ~ spl10_3
| ~ spl10_6
| ~ spl10_11
| ~ spl10_12 ),
inference(forward_demodulation,[],[f1466,f503]) ).
fof(f1494,plain,
( one = join(sF4,complement(join(sF2,sF4)))
| ~ spl10_3
| ~ spl10_6
| ~ spl10_11
| ~ spl10_12
| ~ spl10_13 ),
inference(backward_demodulation,[],[f598,f1482]) ).
fof(f1504,plain,
( one = join(complement(sF2),sF4)
| ~ spl10_3
| ~ spl10_6
| ~ spl10_11
| ~ spl10_12
| ~ spl10_13 ),
inference(forward_demodulation,[],[f1494,f1405]) ).
fof(f1511,plain,
( one = join(sF4,complement(sF2))
| ~ spl10_3
| ~ spl10_6
| ~ spl10_11
| ~ spl10_12
| ~ spl10_13 ),
inference(forward_demodulation,[],[f1504,f1]) ).
fof(f1517,plain,
( one = join(sF4,one)
| ~ spl10_3
| ~ spl10_6
| ~ spl10_11
| ~ spl10_12
| ~ spl10_13 ),
inference(forward_demodulation,[],[f1511,f500]) ).
fof(f1816,plain,
( join(complement(sF2),sF1) = join(sF1,complement(sF3))
| ~ spl10_3
| ~ spl10_11 ),
inference(superposition,[],[f1405,f230]) ).
fof(f1818,plain,
( join(complement(sF6),sF1) = join(sF1,complement(sF7))
| ~ spl10_3
| ~ spl10_10 ),
inference(superposition,[],[f1405,f224]) ).
fof(f1853,plain,
( join(complement(sF6),sF1) = join(sF1,sF8)
| ~ spl10_3
| ~ spl10_9
| ~ spl10_10 ),
inference(forward_demodulation,[],[f1818,f190]) ).
fof(f1854,plain,
( join(complement(sF2),sF1) = join(sF1,sF4)
| ~ spl10_3
| ~ spl10_11
| ~ spl10_12 ),
inference(forward_demodulation,[],[f1816,f236]) ).
fof(f1878,plain,
( join(complement(sF6),sF1) = join(sF8,sF1)
| ~ spl10_3
| ~ spl10_9
| ~ spl10_10 ),
inference(forward_demodulation,[],[f1853,f1]) ).
fof(f1879,plain,
( join(complement(sF2),sF1) = join(sF4,sF1)
| ~ spl10_3
| ~ spl10_11
| ~ spl10_12 ),
inference(forward_demodulation,[],[f1854,f1]) ).
fof(f1895,plain,
( join(sF8,sF1) = join(sF1,complement(sF6))
| ~ spl10_3
| ~ spl10_9
| ~ spl10_10 ),
inference(forward_demodulation,[],[f1878,f1]) ).
fof(f1896,plain,
( join(sF4,sF1) = join(sF1,complement(sF2))
| ~ spl10_3
| ~ spl10_11
| ~ spl10_12 ),
inference(forward_demodulation,[],[f1879,f1]) ).
fof(f1906,plain,
( join(sF8,sF1) = join(sF1,sk2)
| ~ spl10_3
| ~ spl10_9
| ~ spl10_10
| ~ spl10_14 ),
inference(forward_demodulation,[],[f1895,f612]) ).
fof(f1907,plain,
( join(sF4,sF1) = join(sF1,one)
| ~ spl10_3
| ~ spl10_11
| ~ spl10_12
| ~ spl10_13 ),
inference(forward_demodulation,[],[f1896,f500]) ).
fof(f2345,plain,
( complement(sF5) = join(complement(sF9),complement(join(complement(sF8),sF5)))
| ~ spl10_3
| ~ spl10_7 ),
inference(superposition,[],[f615,f144]) ).
fof(f2353,plain,
( ! [X0] : complement(X0) = join(complement(join(sF7,X0)),complement(join(sF8,X0)))
| ~ spl10_3
| ~ spl10_9 ),
inference(superposition,[],[f615,f190]) ).
fof(f2422,plain,
( complement(sF5) = join(complement(sF9),complement(join(sF5,complement(sF8))))
| ~ spl10_3
| ~ spl10_7 ),
inference(forward_demodulation,[],[f2345,f1]) ).
fof(f2464,plain,
( complement(sF5) = join(complement(sF9),complement(join(sF5,sF7)))
| ~ spl10_3
| ~ spl10_7
| ~ spl10_9 ),
inference(forward_demodulation,[],[f2422,f505]) ).
fof(f2504,plain,
( complement(sF5) = join(complement(sF9),complement(join(sF7,sF5)))
| ~ spl10_3
| ~ spl10_7
| ~ spl10_9 ),
inference(forward_demodulation,[],[f2464,f1]) ).
fof(f2936,plain,
! [X0] : converse(top) = join(X0,converse(complement(converse(X0)))),
inference(superposition,[],[f203,f15]) ).
fof(f3034,plain,
( ! [X0] : join(complement(converse(complement(converse(X0)))),X0) = join(X0,complement(converse(top)))
| ~ spl10_3 ),
inference(superposition,[],[f1367,f2936]) ).
fof(f3046,plain,
( top = converse(top)
| ~ spl10_3 ),
inference(superposition,[],[f837,f2936]) ).
fof(f3062,plain,
( ! [X0] : join(X0,complement(top)) = join(complement(converse(complement(converse(X0)))),X0)
| ~ spl10_3 ),
inference(forward_demodulation,[],[f3034,f3046]) ).
fof(f3086,plain,
( ! [X0] : join(X0,complement(top)) = join(X0,complement(converse(complement(converse(X0)))))
| ~ spl10_3 ),
inference(forward_demodulation,[],[f3062,f1]) ).
fof(f3100,plain,
( ! [X0] : join(X0,zero) = join(X0,complement(converse(complement(converse(X0)))))
| ~ spl10_3 ),
inference(forward_demodulation,[],[f3086,f98]) ).
fof(f3110,plain,
( ! [X0] : join(X0,complement(converse(complement(converse(X0))))) = X0
| ~ spl10_3 ),
inference(forward_demodulation,[],[f3100,f1107]) ).
fof(f3193,definition,
( spl10_18
<=> top = converse(top) ),
introduced(definition,[new_symbols(definition,[spl10_18])],[avatar_definition]) ).
fof(f3195,plain,
( top = converse(top)
| ~ spl10_18 ),
inference(avatar_component_clause,[],[f3193]) ).
fof(f3196,plain,
( spl10_18
| ~ spl10_3 ),
inference(avatar_split_clause,[],[f3046,f96,f3193]) ).
fof(f3486,definition,
( spl10_19
<=> sF7 = complement(sF8) ),
introduced(definition,[new_symbols(definition,[spl10_19])],[avatar_definition]) ).
fof(f3488,plain,
( sF7 = complement(sF8)
| ~ spl10_19 ),
inference(avatar_component_clause,[],[f3486]) ).
fof(f3489,plain,
( spl10_19
| ~ spl10_3
| ~ spl10_9 ),
inference(avatar_split_clause,[],[f505,f188,f96,f3486]) ).
fof(f3491,definition,
( spl10_20
<=> zero = composition(converse(sF0),sF1) ),
introduced(definition,[new_symbols(definition,[spl10_20])],[avatar_definition]) ).
fof(f3493,plain,
( zero = composition(converse(sF0),sF1)
| ~ spl10_20 ),
inference(avatar_component_clause,[],[f3491]) ).
fof(f3494,plain,
( spl10_20
| ~ spl10_1
| ~ spl10_3
| ~ spl10_6 ),
inference(avatar_split_clause,[],[f1092,f120,f96,f66,f3491]) ).
fof(f3852,plain,
( ! [X0] : join(sF7,X0) = join(sF6,join(X0,sF1))
| ~ spl10_10 ),
inference(superposition,[],[f226,f1]) ).
fof(f4595,definition,
( spl10_24
<=> top = complement(zero) ),
introduced(definition,[new_symbols(definition,[spl10_24])],[avatar_definition]) ).
fof(f4597,plain,
( top = complement(zero)
| ~ spl10_24 ),
inference(avatar_component_clause,[],[f4595]) ).
fof(f4598,plain,
( spl10_24
| ~ spl10_3 ),
inference(avatar_split_clause,[],[f501,f96,f4595]) ).
fof(f4853,definition,
( spl10_25
<=> join(sF4,sF1) = join(sF1,one) ),
introduced(definition,[new_symbols(definition,[spl10_25])],[avatar_definition]) ).
fof(f4855,plain,
( join(sF4,sF1) = join(sF1,one)
| ~ spl10_25 ),
inference(avatar_component_clause,[],[f4853]) ).
fof(f4856,plain,
( spl10_25
| ~ spl10_3
| ~ spl10_11
| ~ spl10_12
| ~ spl10_13 ),
inference(avatar_split_clause,[],[f1907,f296,f234,f228,f96,f4853]) ).
fof(f4926,plain,
( complement(converse(converse(sF0))) = join(complement(converse(converse(sF0))),composition(sF1,complement(converse(zero))))
| ~ spl10_20 ),
inference(superposition,[],[f319,f3493]) ).
fof(f4967,plain,
( complement(sF0) = join(complement(sF0),composition(sF1,complement(converse(zero))))
| ~ spl10_20 ),
inference(forward_demodulation,[],[f4926,f10]) ).
fof(f4982,plain,
( sF1 = join(sF1,composition(sF1,complement(converse(zero))))
| ~ spl10_6
| ~ spl10_20 ),
inference(forward_demodulation,[],[f4967,f122]) ).
fof(f4992,plain,
( sF1 = composition(sF1,join(one,complement(converse(zero))))
| ~ spl10_6
| ~ spl10_20 ),
inference(forward_demodulation,[],[f4982,f386]) ).
fof(f5267,definition,
( spl10_27
<=> one = join(sF4,one) ),
introduced(definition,[new_symbols(definition,[spl10_27])],[avatar_definition]) ).
fof(f5269,plain,
( one = join(sF4,one)
| ~ spl10_27 ),
inference(avatar_component_clause,[],[f5267]) ).
fof(f5270,plain,
( spl10_27
| ~ spl10_3
| ~ spl10_6
| ~ spl10_11
| ~ spl10_12
| ~ spl10_13 ),
inference(avatar_split_clause,[],[f1517,f296,f234,f228,f120,f96,f5267]) ).
fof(f5271,plain,
( ! [X0] : composition(X0,one) = join(X0,composition(X0,sF4))
| ~ spl10_27 ),
inference(superposition,[],[f407,f5269]) ).
fof(f5292,plain,
( ! [X0] : join(X0,composition(X0,sF4)) = X0
| ~ spl10_27 ),
inference(forward_demodulation,[],[f5271,f8]) ).
fof(f5614,plain,
( ! [X0] : composition(one,X0) = join(X0,composition(composition(one,sF4),X0))
| ~ spl10_27 ),
inference(superposition,[],[f983,f5292]) ).
fof(f5624,plain,
( ! [X0] : composition(one,X0) = join(X0,composition(one,composition(sF4,X0)))
| ~ spl10_27 ),
inference(forward_demodulation,[],[f5614,f7]) ).
fof(f5645,plain,
( ! [X0] : composition(one,X0) = join(X0,composition(sF4,X0))
| ~ spl10_27 ),
inference(forward_demodulation,[],[f5624,f976]) ).
fof(f5656,plain,
( ! [X0] : join(X0,composition(sF4,X0)) = X0
| ~ spl10_27 ),
inference(forward_demodulation,[],[f5645,f976]) ).
fof(f6135,plain,
( ! [X0,X1] : join(X1,X0) = join(X0,join(composition(sF4,X0),X1))
| ~ spl10_27 ),
inference(superposition,[],[f179,f5656]) ).
fof(f6207,plain,
( ! [X0,X1] : join(composition(sF4,X1),X0) = join(X0,composition(sF4,join(X0,X1)))
| ~ spl10_27 ),
inference(superposition,[],[f6135,f365]) ).
fof(f6355,plain,
( ! [X0,X1] : join(composition(sF4,X0),X1) = join(X1,composition(sF4,join(X0,X1)))
| ~ spl10_27 ),
inference(superposition,[],[f6207,f1]) ).
fof(f7669,plain,
! [X2,X3,X0,X1] : join(composition(X0,join(X3,X2)),composition(X1,X2)) = join(composition(X0,X3),composition(join(X0,X1),X2)),
inference(superposition,[],[f398,f9]) ).
fof(f8841,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(join(X0,X2),complement(X1))) = join(composition(X0,top),composition(X2,complement(X1))),
inference(superposition,[],[f7669,f15]) ).
fof(f9326,plain,
! [X2,X0,X1] : join(composition(X1,top),composition(X0,complement(X2))) = join(composition(X1,X2),composition(join(X0,X1),complement(X2))),
inference(superposition,[],[f8841,f1]) ).
fof(f9380,plain,
( ! [X0] : join(composition(sF1,top),composition(one,complement(X0))) = join(composition(sF1,X0),composition(join(sF4,sF1),complement(X0)))
| ~ spl10_25 ),
inference(superposition,[],[f8841,f4855]) ).
fof(f9497,plain,
( ! [X0] : join(composition(sF1,X0),composition(join(sF4,sF1),complement(X0))) = join(composition(sF1,top),complement(X0))
| ~ spl10_25 ),
inference(forward_demodulation,[],[f9380,f976]) ).
fof(f9570,plain,
( ! [X0] : join(composition(sF1,top),complement(X0)) = join(composition(sF1,top),composition(sF4,complement(X0)))
| ~ spl10_25 ),
inference(forward_demodulation,[],[f9497,f9326]) ).
fof(f10728,definition,
( spl10_36
<=> top = join(sF7,sF8) ),
introduced(definition,[new_symbols(definition,[spl10_36])],[avatar_definition]) ).
fof(f10730,plain,
( top = join(sF7,sF8)
| ~ spl10_36 ),
inference(avatar_component_clause,[],[f10728]) ).
fof(f10731,plain,
( spl10_36
| ~ spl10_9 ),
inference(avatar_split_clause,[],[f193,f188,f10728]) ).
fof(f11385,definition,
( spl10_38
<=> join(sF8,sF1) = join(sF1,sk2) ),
introduced(definition,[new_symbols(definition,[spl10_38])],[avatar_definition]) ).
fof(f11387,plain,
( join(sF8,sF1) = join(sF1,sk2)
| ~ spl10_38 ),
inference(avatar_component_clause,[],[f11385]) ).
fof(f11388,plain,
( spl10_38
| ~ spl10_3
| ~ spl10_9
| ~ spl10_10
| ~ spl10_14 ),
inference(avatar_split_clause,[],[f1906,f610,f222,f188,f96,f11385]) ).
fof(f11405,plain,
( join(composition(sF4,sk2),sF1) = join(sF1,composition(sF4,join(sF8,sF1)))
| ~ spl10_27
| ~ spl10_38 ),
inference(superposition,[],[f6207,f11387]) ).
fof(f11413,plain,
( join(composition(sF4,sk2),sF1) = join(composition(sF4,sF8),sF1)
| ~ spl10_27
| ~ spl10_38 ),
inference(forward_demodulation,[],[f11405,f6355]) ).
fof(f11429,plain,
( join(composition(sF4,sk2),sF1) = join(sF1,composition(sF4,sF8))
| ~ spl10_27
| ~ spl10_38 ),
inference(forward_demodulation,[],[f11413,f1]) ).
fof(f11441,plain,
( join(sF1,composition(sF4,sF8)) = join(sF1,composition(sF4,sk2))
| ~ spl10_27
| ~ spl10_38 ),
inference(forward_demodulation,[],[f11429,f1]) ).
fof(f11448,plain,
( join(sF1,composition(sF4,sF8)) = join(sF1,sF5)
| ~ spl10_5
| ~ spl10_27
| ~ spl10_38 ),
inference(forward_demodulation,[],[f11441,f108]) ).
fof(f13835,definition,
( spl10_50
<=> join(sF8,complement(sF5)) = join(sF8,complement(sF9)) ),
introduced(definition,[new_symbols(definition,[spl10_50])],[avatar_definition]) ).
fof(f13837,plain,
( join(sF8,complement(sF5)) = join(sF8,complement(sF9))
| ~ spl10_50 ),
inference(avatar_component_clause,[],[f13835]) ).
fof(f13838,plain,
( spl10_50
| ~ spl10_3
| ~ spl10_7 ),
inference(avatar_split_clause,[],[f1445,f142,f96,f13835]) ).
fof(f13848,plain,
( complement(complement(sF5)) = join(complement(join(sF8,complement(sF9))),complement(join(complement(sF8),complement(sF5))))
| ~ spl10_3
| ~ spl10_50 ),
inference(superposition,[],[f615,f13837]) ).
fof(f13867,plain,
( complement(complement(sF5)) = join(complement(join(sF8,complement(sF9))),complement(join(sF7,complement(sF5))))
| ~ spl10_3
| ~ spl10_19
| ~ spl10_50 ),
inference(forward_demodulation,[],[f13848,f3488]) ).
fof(f13878,plain,
( complement(complement(sF5)) = join(complement(join(sF7,complement(sF5))),complement(join(sF8,complement(sF9))))
| ~ spl10_3
| ~ spl10_19
| ~ spl10_50 ),
inference(forward_demodulation,[],[f13867,f1]) ).
fof(f13888,plain,
( sF5 = join(complement(join(sF7,complement(sF5))),complement(join(sF8,complement(sF9))))
| ~ spl10_3
| ~ spl10_19
| ~ spl10_50 ),
inference(forward_demodulation,[],[f13878,f489]) ).
fof(f14367,plain,
( ! [X0] : complement(complement(converse(complement(converse(complement(X0)))))) = join(complement(join(X0,complement(converse(complement(converse(complement(X0))))))),complement(complement(X0)))
| ~ spl10_3 ),
inference(superposition,[],[f615,f3110]) ).
fof(f14381,plain,
( ! [X0] : converse(converse(X0)) = join(X0,converse(complement(converse(complement(converse(converse(X0)))))))
| ~ spl10_3 ),
inference(superposition,[],[f203,f3110]) ).
fof(f14396,plain,
( ! [X0] : join(X0,converse(complement(converse(complement(X0))))) = X0
| ~ spl10_3 ),
inference(forward_demodulation,[],[f14381,f10]) ).
fof(f14409,plain,
( ! [X0] : complement(complement(converse(complement(converse(complement(X0)))))) = join(complement(complement(X0)),complement(join(X0,complement(converse(complement(converse(complement(X0))))))))
| ~ spl10_3 ),
inference(forward_demodulation,[],[f14367,f1]) ).
fof(f14442,plain,
( ! [X0] : complement(complement(converse(complement(converse(complement(X0)))))) = join(X0,complement(join(X0,complement(converse(complement(converse(complement(X0))))))))
| ~ spl10_3 ),
inference(forward_demodulation,[],[f14409,f489]) ).
fof(f14458,plain,
( ! [X0] : complement(complement(converse(complement(converse(complement(X0)))))) = join(complement(complement(converse(complement(converse(complement(X0)))))),X0)
| ~ spl10_3 ),
inference(forward_demodulation,[],[f14442,f1367]) ).
fof(f14465,plain,
( ! [X0] : complement(complement(converse(complement(converse(complement(X0)))))) = join(X0,complement(complement(converse(complement(converse(complement(X0)))))))
| ~ spl10_3 ),
inference(forward_demodulation,[],[f14458,f1]) ).
fof(f14469,plain,
( ! [X0] : converse(complement(converse(complement(X0)))) = join(X0,converse(complement(converse(complement(X0)))))
| ~ spl10_3 ),
inference(forward_demodulation,[],[f14465,f489]) ).
fof(f14471,plain,
( ! [X0] : converse(complement(converse(complement(X0)))) = X0
| ~ spl10_3 ),
inference(forward_demodulation,[],[f14469,f14396]) ).
fof(f14482,plain,
( zero = converse(complement(converse(top)))
| ~ spl10_3
| ~ spl10_24 ),
inference(superposition,[],[f14471,f4597]) ).
fof(f14582,plain,
( zero = converse(complement(top))
| ~ spl10_3
| ~ spl10_18
| ~ spl10_24 ),
inference(forward_demodulation,[],[f14482,f3195]) ).
fof(f14645,plain,
( zero = converse(zero)
| ~ spl10_3
| ~ spl10_18
| ~ spl10_24 ),
inference(forward_demodulation,[],[f14582,f98]) ).
fof(f14684,plain,
( sF1 = composition(sF1,join(one,complement(zero)))
| ~ spl10_3
| ~ spl10_6
| ~ spl10_18
| ~ spl10_20
| ~ spl10_24 ),
inference(backward_demodulation,[],[f4992,f14645]) ).
fof(f14718,plain,
( sF1 = composition(sF1,join(one,top))
| ~ spl10_3
| ~ spl10_6
| ~ spl10_18
| ~ spl10_20
| ~ spl10_24 ),
inference(forward_demodulation,[],[f14684,f4597]) ).
fof(f14725,plain,
( sF1 = composition(sF1,top)
| ~ spl10_3
| ~ spl10_6
| ~ spl10_18
| ~ spl10_20
| ~ spl10_24 ),
inference(forward_demodulation,[],[f14718,f866]) ).
fof(f14732,plain,
( ! [X0] : join(sF1,complement(X0)) = join(sF1,composition(sF4,complement(X0)))
| ~ spl10_3
| ~ spl10_6
| ~ spl10_18
| ~ spl10_20
| ~ spl10_24
| ~ spl10_25 ),
inference(backward_demodulation,[],[f9570,f14725]) ).
fof(f16155,plain,
( join(sF1,sF8) = join(sF1,composition(sF4,sF8))
| ~ spl10_3
| ~ spl10_6
| ~ spl10_9
| ~ spl10_18
| ~ spl10_20
| ~ spl10_24
| ~ spl10_25 ),
inference(superposition,[],[f14732,f190]) ).
fof(f16203,plain,
( join(sF1,sF8) = join(sF1,sF5)
| ~ spl10_3
| ~ spl10_5
| ~ spl10_6
| ~ spl10_9
| ~ spl10_18
| ~ spl10_20
| ~ spl10_24
| ~ spl10_25
| ~ spl10_27
| ~ spl10_38 ),
inference(forward_demodulation,[],[f16155,f11448]) ).
fof(f16232,plain,
( join(sF8,sF1) = join(sF1,sF5)
| ~ spl10_3
| ~ spl10_5
| ~ spl10_6
| ~ spl10_9
| ~ spl10_18
| ~ spl10_20
| ~ spl10_24
| ~ spl10_25
| ~ spl10_27
| ~ spl10_38 ),
inference(forward_demodulation,[],[f16203,f1]) ).
fof(f16418,definition,
( spl10_54
<=> join(sF8,sF1) = join(sF1,sF5) ),
introduced(definition,[new_symbols(definition,[spl10_54])],[avatar_definition]) ).
fof(f16420,plain,
( join(sF8,sF1) = join(sF1,sF5)
| ~ spl10_54 ),
inference(avatar_component_clause,[],[f16418]) ).
fof(f16421,plain,
( spl10_54
| ~ spl10_3
| ~ spl10_5
| ~ spl10_6
| ~ spl10_9
| ~ spl10_18
| ~ spl10_20
| ~ spl10_24
| ~ spl10_25
| ~ spl10_27
| ~ spl10_38 ),
inference(avatar_split_clause,[],[f16232,f11385,f5267,f4853,f4595,f3491,f3193,f188,f120,f106,f96,f16418]) ).
fof(f16424,plain,
( join(sF7,sF5) = join(sF6,join(sF8,sF1))
| ~ spl10_10
| ~ spl10_54 ),
inference(superposition,[],[f226,f16420]) ).
fof(f16459,plain,
( join(sF7,sF8) = join(sF7,sF5)
| ~ spl10_10
| ~ spl10_54 ),
inference(forward_demodulation,[],[f16424,f3852]) ).
fof(f16473,plain,
( top = join(sF7,sF5)
| ~ spl10_10
| ~ spl10_36
| ~ spl10_54 ),
inference(forward_demodulation,[],[f16459,f10730]) ).
fof(f16483,plain,
( complement(sF5) = join(complement(sF9),complement(top))
| ~ spl10_3
| ~ spl10_7
| ~ spl10_9
| ~ spl10_10
| ~ spl10_36
| ~ spl10_54 ),
inference(backward_demodulation,[],[f2504,f16473]) ).
fof(f16490,plain,
( complement(sF5) = join(complement(top),complement(sF9))
| ~ spl10_3
| ~ spl10_7
| ~ spl10_9
| ~ spl10_10
| ~ spl10_36
| ~ spl10_54 ),
inference(forward_demodulation,[],[f16483,f1]) ).
fof(f16495,plain,
( complement(sF5) = join(zero,complement(sF9))
| ~ spl10_3
| ~ spl10_7
| ~ spl10_9
| ~ spl10_10
| ~ spl10_36
| ~ spl10_54 ),
inference(forward_demodulation,[],[f16490,f98]) ).
fof(f16499,plain,
( complement(sF5) = complement(sF9)
| ~ spl10_3
| ~ spl10_7
| ~ spl10_9
| ~ spl10_10
| ~ spl10_36
| ~ spl10_54 ),
inference(forward_demodulation,[],[f16495,f1076]) ).
fof(f16548,plain,
( sF5 = join(complement(join(sF7,complement(sF9))),complement(join(sF8,complement(sF9))))
| ~ spl10_3
| ~ spl10_7
| ~ spl10_9
| ~ spl10_10
| ~ spl10_19
| ~ spl10_36
| ~ spl10_50
| ~ spl10_54 ),
inference(backward_demodulation,[],[f13888,f16499]) ).
fof(f16559,plain,
( sF5 = complement(complement(sF9))
| ~ spl10_3
| ~ spl10_7
| ~ spl10_9
| ~ spl10_10
| ~ spl10_19
| ~ spl10_36
| ~ spl10_50
| ~ spl10_54 ),
inference(forward_demodulation,[],[f16548,f2353]) ).
fof(f16564,plain,
( sF5 = sF9
| ~ spl10_3
| ~ spl10_7
| ~ spl10_9
| ~ spl10_10
| ~ spl10_19
| ~ spl10_36
| ~ spl10_50
| ~ spl10_54 ),
inference(forward_demodulation,[],[f16559,f489]) ).
fof(f16567,plain,
( $false
| ~ spl10_3
| spl10_4
| ~ spl10_7
| ~ spl10_9
| ~ spl10_10
| ~ spl10_19
| ~ spl10_36
| ~ spl10_50
| ~ spl10_54 ),
inference(forward_subsumption_resolution,[],[f16564,f103]) ).
fof(f16568,plain,
( ~ spl10_3
| spl10_4
| ~ spl10_7
| ~ spl10_9
| ~ spl10_10
| ~ spl10_19
| ~ spl10_36
| ~ spl10_50
| ~ spl10_54 ),
inference(avatar_contradiction_clause,[],[f16567]) ).
cnf(s1,plain,
spl10_1,
inference(sat_conversion,[],[f69]) ).
cnf(s3,plain,
spl10_3,
inference(sat_conversion,[],[f99]) ).
cnf(s4,plain,
~ spl10_4,
inference(sat_conversion,[],[f104]) ).
cnf(s5,plain,
spl10_5,
inference(sat_conversion,[],[f109]) ).
cnf(s6,plain,
spl10_6,
inference(sat_conversion,[],[f123]) ).
cnf(s7,plain,
spl10_7,
inference(sat_conversion,[],[f145]) ).
cnf(s8,plain,
spl10_8,
inference(sat_conversion,[],[f150]) ).
cnf(s9,plain,
spl10_9,
inference(sat_conversion,[],[f191]) ).
cnf(s10,plain,
spl10_10,
inference(sat_conversion,[],[f225]) ).
cnf(s11,plain,
spl10_11,
inference(sat_conversion,[],[f231]) ).
cnf(s12,plain,
spl10_12,
inference(sat_conversion,[],[f237]) ).
cnf(s13,plain,
spl10_13,
inference(sat_conversion,[],[f299]) ).
cnf(s14,plain,
( ~ spl10_3
| ~ spl10_8
| spl10_14 ),
inference(sat_conversion,[],[f613]) ).
cnf(s18,plain,
( ~ spl10_3
| spl10_18 ),
inference(sat_conversion,[],[f3196]) ).
cnf(s19,plain,
( ~ spl10_3
| ~ spl10_9
| spl10_19 ),
inference(sat_conversion,[],[f3489]) ).
cnf(s20,plain,
( ~ spl10_1
| ~ spl10_3
| ~ spl10_6
| spl10_20 ),
inference(sat_conversion,[],[f3494]) ).
cnf(s24,plain,
( ~ spl10_3
| spl10_24 ),
inference(sat_conversion,[],[f4598]) ).
cnf(s25,plain,
( ~ spl10_3
| ~ spl10_11
| ~ spl10_12
| ~ spl10_13
| spl10_25 ),
inference(sat_conversion,[],[f4856]) ).
cnf(s27,plain,
( ~ spl10_3
| ~ spl10_6
| ~ spl10_11
| ~ spl10_12
| ~ spl10_13
| spl10_27 ),
inference(sat_conversion,[],[f5270]) ).
cnf(s36,plain,
( ~ spl10_9
| spl10_36 ),
inference(sat_conversion,[],[f10731]) ).
cnf(s38,plain,
( ~ spl10_3
| ~ spl10_9
| ~ spl10_10
| ~ spl10_14
| spl10_38 ),
inference(sat_conversion,[],[f11388]) ).
cnf(s50,plain,
( ~ spl10_3
| ~ spl10_7
| spl10_50 ),
inference(sat_conversion,[],[f13838]) ).
cnf(s54,plain,
( ~ spl10_3
| ~ spl10_5
| ~ spl10_6
| ~ spl10_9
| ~ spl10_18
| ~ spl10_20
| ~ spl10_24
| ~ spl10_25
| ~ spl10_27
| ~ spl10_38
| spl10_54 ),
inference(sat_conversion,[],[f16421]) ).
cnf(s55,plain,
( ~ spl10_3
| spl10_4
| ~ spl10_7
| ~ spl10_9
| ~ spl10_10
| ~ spl10_19
| ~ spl10_36
| ~ spl10_50
| ~ spl10_54 ),
inference(sat_conversion,[],[f16568]) ).
cnf(s58,plain,
spl10_36,
inference(rat,[],[s36,s9]) ).
cnf(s62,plain,
spl10_50,
inference(rat,[],[s50,s7,s3]) ).
cnf(s68,plain,
spl10_27,
inference(rat,[],[s27,s6,s13,s12,s11,s3]) ).
cnf(s70,plain,
spl10_25,
inference(rat,[],[s25,s11,s13,s12,s3]) ).
cnf(s71,plain,
spl10_24,
inference(rat,[],[s24,s3]) ).
cnf(s75,plain,
spl10_19,
inference(rat,[],[s19,s9,s3]) ).
cnf(s76,plain,
spl10_18,
inference(rat,[],[s18,s3]) ).
cnf(s79,plain,
spl10_14,
inference(rat,[],[s14,s8,s3]) ).
cnf(s82,plain,
~ spl10_54,
inference(rat,[],[s55,s62,s3,s58,s4,s10,s9,s7,s75]) ).
cnf(s85,plain,
spl10_38,
inference(rat,[],[s38,s3,s9,s10,s79]) ).
cnf(s89,plain,
~ spl10_20,
inference(rat,[],[s54,s82,s76,s68,s70,s71,s3,s5,s9,s6,s85]) ).
cnf(s90,plain,
~ spl10_1,
inference(rat,[],[s20,s3,s6,s89]) ).
cnf(s91,plain,
$false,
inference(rat,[],[s1,s90]) ).
fof(f16572,plain,
$false,
inference(avatar_sat_refutation,[],[s91]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL022-2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n009.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 22:52:45 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 12.37/2.65 % (2492887)Detected a unit-equality problem, will run specialized UEQ schedule.
% 12.37/2.65 % (2492895)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=2118065942:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 12.37/2.65 % (2492893)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=278235638:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 12.37/2.65 % (2492892)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=520154756:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 12.37/2.65 % (2492894)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2919212322:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 12.37/2.65 % (2492895)Instruction limit reached!
% 12.37/2.65 % (2492895)------------------------------
% 12.37/2.65 % (2492895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.37/2.65 % (2492895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.37/2.65 % (2492895)CaDiCaL version: 2.1.3
% 12.37/2.65 % (2492895)Termination reason: Instruction limit
% 12.37/2.65 % (2492895)Termination phase: Saturation
% 12.37/2.65 % (2492895)Time elapsed: 0.047 s
% 12.37/2.65 % (2492895)Peak memory usage: 89 MB
% 12.37/2.65 % (2492895)Instructions burned: 139 (million)
% 12.37/2.65 % (2492896)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2499897571:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 12.37/2.65 % (2492898)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3515758823:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 12.37/2.65 % (2492897)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3952335696:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 12.37/2.65 % (2492896)Instruction limit reached!
% 12.37/2.65 % (2492896)------------------------------
% 12.37/2.65 % (2492896)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.37/2.65 % (2492896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.37/2.65 % (2492896)CaDiCaL version: 2.1.3
% 12.37/2.65 % (2492896)Termination reason: Instruction limit
% 12.37/2.65 % (2492896)Termination phase: Saturation
% 12.37/2.65 % (2492896)Time elapsed: 0.105 s
% 12.37/2.65 % (2492896)Peak memory usage: 90 MB
% 12.37/2.65 % (2492896)Instructions burned: 181 (million)
% 12.37/2.65 % (2492906)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=2587432155:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2998 on theBenchmark for (2998ds/2051Mi)
% 12.37/2.65 % (2492897)Instruction limit reached!
% 12.37/2.65 % (2492897)------------------------------
% 12.37/2.65 % (2492897)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.37/2.65 % (2492897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.37/2.65 % (2492897)CaDiCaL version: 2.1.3
% 12.37/2.65 % (2492897)Termination reason: Instruction limit
% 12.37/2.65 % (2492897)Termination phase: Saturation
% 12.37/2.65 % (2492897)Time elapsed: 0.165 s
% 12.37/2.65 % (2492897)Peak memory usage: 90 MB
% 12.37/2.65 % (2492897)Instructions burned: 257 (million)
% 12.37/2.65 % (2492907)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3185080393:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 12.37/2.65 % (2492909)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2947115438:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 12.37/2.65 % (2492909)Instruction limit reached!
% 12.37/2.65 % (2492909)------------------------------
% 12.37/2.65 % (2492909)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.37/2.65 % (2492909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.37/2.65 % (2492909)CaDiCaL version: 2.1.3
% 12.37/2.65 % (2492909)Termination reason: Instruction limit
% 12.37/2.65 % (2492909)Termination phase: Saturation
% 12.37/2.65 % (2492909)Time elapsed: 0.125 s
% 12.37/2.65 % (2492909)Peak memory usage: 92 MB
% 12.37/2.65 % (2492909)Instructions burned: 217 (million)
% 12.37/2.65 % (2492912)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=2602362779: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)
% 12.37/2.65 % (2492898)Instruction limit reached!
% 12.37/2.65 % (2492898)------------------------------
% 12.37/2.65 % (2492898)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.37/2.65 % (2492898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.37/2.65 % (2492898)CaDiCaL version: 2.1.3
% 12.37/2.65 % (2492898)Termination reason: Instruction limit
% 12.37/2.65 % (2492898)Termination phase: Saturation
% 12.37/2.65 % (2492898)Time elapsed: 0.640 s
% 12.37/2.65 % (2492898)Peak memory usage: 101 MB
% 12.37/2.65 % (2492898)Instructions burned: 1187 (million)
% 12.37/2.65 % (2492912)Instruction limit reached!
% 12.37/2.65 % (2492912)------------------------------
% 12.37/2.65 % (2492912)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.37/2.65 % (2492912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.37/2.65 % (2492912)CaDiCaL version: 2.1.3
% 12.37/2.65 % (2492912)Termination reason: Instruction limit
% 12.37/2.65 % (2492912)Termination phase: Saturation
% 12.37/2.65 % (2492912)Time elapsed: 0.161 s
% 12.37/2.65 % (2492912)Peak memory usage: 90 MB
% 12.37/2.65 % (2492912)Instructions burned: 321 (million)
% 12.37/2.65 % (2492914)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=104926442:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2991 on theBenchmark for (2991ds/12125Mi)
% 12.37/2.65 % (2492915)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=25496748:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2990 on theBenchmark for (2990ds/2836Mi)
% 12.37/2.65 % (2492906)Instruction limit reached!
% 12.37/2.65 % (2492906)------------------------------
% 12.37/2.65 % (2492906)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.37/2.65 % (2492906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.37/2.65 % (2492906)CaDiCaL version: 2.1.3
% 12.37/2.65 % (2492906)Termination reason: Instruction limit
% 12.37/2.65 % (2492906)Termination phase: Saturation
% 12.37/2.65 % (2492906)Time elapsed: 1.096 s
% 12.37/2.65 % (2492906)Peak memory usage: 140 MB
% 12.37/2.65 % (2492906)Instructions burned: 2051 (million)
% 12.37/2.65 % (2492918)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=2444490847:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2985 on theBenchmark for (2985ds/14534Mi)
% 12.37/2.65 % (2492892)First to succeed.
% 12.37/2.65 % (2492892)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2492887"
% 12.37/2.65 % (2492892)Refutation found. Thanks to Tanya!
% 12.37/2.65 % SZS status Unsatisfiable for theBenchmark
% 12.37/2.65 % SZS output start Proof for theBenchmark
% See solution above
% 13.23/2.84 % (2492892)------------------------------
% 13.23/2.84 % (2492892)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.23/2.84 % (2492892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.23/2.84 % (2492892)CaDiCaL version: 2.1.3
% 13.23/2.84 % (2492892)Termination reason: Refutation
% 13.23/2.84 % (2492892)Time elapsed: 1.450 s
% 13.23/2.84 % (2492892)Peak memory usage: 158 MB
% 13.23/2.84 % (2492892)Instructions burned: 3607 (million)
% 13.23/2.84 % (2492892)------------------------------
% 13.23/2.84 % (2492892)------------------------------
% 13.23/2.84 % (2492887)Success in time 1.784 s
% 13.23/2.84 % Vampire exiting
%------------------------------------------------------------------------------