%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT009-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:45:49 AM UTC 2026
% Result : Unsatisfiable 5.30s 1.84s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 20
% Syntax : Number of formulae : 118 ( 96 unt; 11 def)
% Number of atoms : 168 ( 100 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 98 ( 48 ~; 44 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 7 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 190 ( 0 sgn 190 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] : join(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_of_join) ).
fof(f3,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption1) ).
fof(f4,axiom,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption2) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_meet) ).
fof(f6,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_join) ).
fof(f7,axiom,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_meet) ).
fof(f8,axiom,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_join) ).
fof(f9,axiom,
! [X2,X0,X1] : join(meet(join(meet(X0,X1),X2),X1),meet(X2,X0)) = meet(join(meet(join(X0,X1),X2),X1),join(X2,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity_dual) ).
fof(f10,negated_conjecture,
join(a,meet(b,c)) != meet(join(a,b),join(a,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_distributivity) ).
fof(f11,definition,
sF0 = meet(b,c),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f12,plain,
meet(b,c) = sF0,
inference(reorient_equations,[],[f11]) ).
fof(f13,definition,
sF1 = join(a,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f14,plain,
join(a,sF0) = sF1,
inference(reorient_equations,[],[f13]) ).
fof(f15,definition,
sF2 = join(a,b),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f16,plain,
join(a,b) = sF2,
inference(reorient_equations,[],[f15]) ).
fof(f17,definition,
sF3 = join(a,c),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f18,plain,
join(a,c) = sF3,
inference(reorient_equations,[],[f17]) ).
fof(f19,definition,
sF4 = meet(sF2,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f20,plain,
meet(sF2,sF3) = sF4,
inference(reorient_equations,[],[f19]) ).
fof(f21,plain,
sF1 != sF4,
inference(definition_folding,[],[f10,f20,f18,f16,f14,f12]) ).
fof(f22,plain,
sF1 = join(sF0,a),
inference(forward_demodulation,[],[f14,f6]) ).
fof(f23,plain,
sF2 = join(b,a),
inference(forward_demodulation,[],[f16,f6]) ).
fof(f24,plain,
sF3 = join(c,a),
inference(forward_demodulation,[],[f18,f6]) ).
fof(f28,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = X1,
inference(superposition,[],[f3,f6]) ).
fof(f30,plain,
! [X0,X1] : join(X1,meet(X0,X1)) = X1,
inference(superposition,[],[f4,f5]) ).
fof(f34,plain,
! [X2,X0,X1] : meet(join(meet(join(join(meet(X0,X1),X2),X1),meet(X2,X0)),X1),join(meet(X2,X0),join(meet(X0,X1),X2))) = join(meet(meet(join(meet(join(X0,X1),X2),X1),join(X2,X0)),X1),meet(meet(X2,X0),join(meet(X0,X1),X2))),
inference(superposition,[],[f9,f9]) ).
fof(f61,plain,
! [X2,X0,X1] : meet(join(meet(join(join(meet(X0,X1),X2),X1),meet(X2,X0)),X1),join(meet(X2,X0),join(meet(X0,X1),X2))) = join(meet(meet(X2,X0),join(meet(X0,X1),X2)),meet(meet(join(meet(join(X0,X1),X2),X1),join(X2,X0)),X1)),
inference(forward_demodulation,[],[f34,f6]) ).
fof(f78,plain,
! [X2,X0,X1] : meet(join(meet(join(join(meet(X0,X1),X2),X1),meet(X2,X0)),X1),join(meet(X2,X0),join(meet(X0,X1),X2))) = join(meet(meet(X2,X0),join(meet(X0,X1),X2)),meet(join(meet(join(X0,X1),X2),X1),meet(join(X2,X0),X1))),
inference(forward_demodulation,[],[f61,f7]) ).
fof(f95,plain,
! [X2,X0,X1] : meet(join(meet(join(join(meet(X0,X1),X2),X1),meet(X2,X0)),X1),join(meet(X2,X0),join(meet(X0,X1),X2))) = join(meet(meet(X2,X0),join(meet(X0,X1),X2)),meet(meet(join(X2,X0),X1),join(meet(join(X0,X1),X2),X1))),
inference(forward_demodulation,[],[f78,f5]) ).
fof(f106,plain,
! [X2,X0,X1] : meet(join(meet(join(join(meet(X0,X1),X2),X1),meet(X2,X0)),X1),join(meet(X2,X0),join(meet(X0,X1),X2))) = join(meet(meet(X2,X0),join(meet(X0,X1),X2)),meet(join(X2,X0),meet(X1,join(meet(join(X0,X1),X2),X1)))),
inference(forward_demodulation,[],[f95,f7]) ).
fof(f112,plain,
! [X2,X0,X1] : meet(join(meet(join(join(meet(X0,X1),X2),X1),meet(X2,X0)),X1),join(meet(X2,X0),join(meet(X0,X1),X2))) = join(meet(meet(X2,X0),join(meet(X0,X1),X2)),meet(join(X2,X0),X1)),
inference(forward_demodulation,[],[f106,f28]) ).
fof(f115,plain,
! [X2,X0,X1] : meet(join(meet(join(join(meet(X0,X1),X2),X1),meet(X2,X0)),X1),join(meet(X2,X0),join(meet(X0,X1),X2))) = join(meet(join(X2,X0),X1),meet(meet(X2,X0),join(meet(X0,X1),X2))),
inference(forward_demodulation,[],[f112,f6]) ).
fof(f118,plain,
! [X2,X0,X1] : meet(join(meet(join(join(meet(X0,X1),X2),X1),meet(X2,X0)),X1),join(meet(X2,X0),join(meet(X0,X1),X2))) = join(meet(join(X2,X0),X1),meet(X2,meet(X0,join(meet(X0,X1),X2)))),
inference(forward_demodulation,[],[f115,f7]) ).
fof(f121,plain,
! [X2,X0,X1] : join(meet(join(X2,X0),X1),meet(X2,meet(X0,join(meet(X0,X1),X2)))) = meet(join(meet(X2,X0),join(meet(X0,X1),X2)),join(meet(join(join(meet(X0,X1),X2),X1),meet(X2,X0)),X1)),
inference(forward_demodulation,[],[f118,f5]) ).
fof(f123,plain,
! [X2,X0,X1] : join(meet(join(X2,X0),X1),meet(X2,meet(X0,join(meet(X0,X1),X2)))) = meet(join(meet(X2,X0),join(meet(X0,X1),X2)),join(X1,meet(join(join(meet(X0,X1),X2),X1),meet(X2,X0)))),
inference(forward_demodulation,[],[f121,f6]) ).
fof(f124,plain,
! [X2,X0,X1] : join(meet(join(X2,X0),X1),meet(X2,meet(X0,join(meet(X0,X1),X2)))) = meet(join(meet(X2,X0),join(meet(X0,X1),X2)),join(X1,meet(meet(X2,X0),join(join(meet(X0,X1),X2),X1)))),
inference(forward_demodulation,[],[f123,f5]) ).
fof(f125,plain,
! [X2,X0,X1] : join(meet(join(X2,X0),X1),meet(X2,meet(X0,join(meet(X0,X1),X2)))) = meet(join(meet(X2,X0),join(meet(X0,X1),X2)),join(X1,meet(X2,meet(X0,join(join(meet(X0,X1),X2),X1))))),
inference(forward_demodulation,[],[f124,f7]) ).
fof(f126,plain,
! [X2,X0,X1] : join(meet(join(X2,X0),X1),meet(X2,meet(X0,join(meet(X0,X1),X2)))) = meet(join(meet(X2,X0),join(meet(X0,X1),X2)),join(X1,meet(X2,meet(X0,join(meet(X0,X1),join(X2,X1)))))),
inference(forward_demodulation,[],[f125,f8]) ).
fof(f128,definition,
( spl5_1
<=> sF1 = join(sF0,a) ),
introduced(definition,[new_symbols(definition,[spl5_1])],[avatar_definition]) ).
fof(f130,plain,
( sF1 = join(sF0,a)
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f131,plain,
spl5_1,
inference(avatar_split_clause,[],[f22,f128]) ).
fof(f134,definition,
( spl5_2
<=> sF1 = sF4 ),
introduced(definition,[new_symbols(definition,[spl5_2])],[avatar_definition]) ).
fof(f136,plain,
( sF1 != sF4
| spl5_2 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f137,plain,
~ spl5_2,
inference(avatar_split_clause,[],[f21,f134]) ).
fof(f139,definition,
( spl5_3
<=> meet(b,c) = sF0 ),
introduced(definition,[new_symbols(definition,[spl5_3])],[avatar_definition]) ).
fof(f141,plain,
( meet(b,c) = sF0
| ~ spl5_3 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f142,plain,
spl5_3,
inference(avatar_split_clause,[],[f12,f139]) ).
fof(f158,definition,
( spl5_4
<=> meet(sF2,sF3) = sF4 ),
introduced(definition,[new_symbols(definition,[spl5_4])],[avatar_definition]) ).
fof(f160,plain,
( meet(sF2,sF3) = sF4
| ~ spl5_4 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f161,plain,
spl5_4,
inference(avatar_split_clause,[],[f20,f158]) ).
fof(f163,definition,
( spl5_5
<=> sF3 = join(c,a) ),
introduced(definition,[new_symbols(definition,[spl5_5])],[avatar_definition]) ).
fof(f165,plain,
( sF3 = join(c,a)
| ~ spl5_5 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f166,plain,
spl5_5,
inference(avatar_split_clause,[],[f24,f163]) ).
fof(f170,definition,
( spl5_6
<=> sF2 = join(b,a) ),
introduced(definition,[new_symbols(definition,[spl5_6])],[avatar_definition]) ).
fof(f172,plain,
( sF2 = join(b,a)
| ~ spl5_6 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f173,plain,
spl5_6,
inference(avatar_split_clause,[],[f23,f170]) ).
fof(f204,plain,
! [X0,X1] : join(X0,X1) = join(join(X0,X1),X0),
inference(superposition,[],[f30,f3]) ).
fof(f216,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,X0)),
inference(forward_demodulation,[],[f204,f8]) ).
fof(f241,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(join(X0,X1),X2)),
inference(superposition,[],[f7,f3]) ).
fof(f242,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(join(X1,X0),X2)),
inference(superposition,[],[f7,f28]) ).
fof(f276,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X0,X1),X2)),
inference(superposition,[],[f8,f4]) ).
fof(f277,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X1,X0),X2)),
inference(superposition,[],[f8,f30]) ).
fof(f291,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f6,f8]) ).
fof(f304,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X0,X1)),
inference(superposition,[],[f241,f30]) ).
fof(f370,plain,
! [X2,X0,X1] : join(X1,X0) = join(X1,join(X0,meet(X1,X2))),
inference(superposition,[],[f276,f6]) ).
fof(f1026,plain,
! [X2,X0,X1] : meet(X2,X0) = meet(X2,meet(X0,join(X1,X2))),
inference(superposition,[],[f242,f5]) ).
fof(f1069,plain,
! [X2,X0,X1] : meet(join(meet(X2,X0),join(meet(X0,X1),X2)),join(X1,meet(X2,meet(X0,join(meet(X0,X1),join(X2,X1)))))) = join(meet(join(X2,X0),X1),meet(X2,X0)),
inference(backward_demodulation,[],[f126,f1026]) ).
fof(f1091,plain,
! [X2,X0,X1] : meet(join(meet(X2,X0),join(meet(X0,X1),X2)),join(X1,meet(X2,meet(X0,join(meet(X0,X1),join(X2,X1)))))) = join(meet(X2,X0),meet(join(X2,X0),X1)),
inference(forward_demodulation,[],[f1069,f6]) ).
fof(f1103,plain,
! [X2,X0,X1] : join(meet(X2,X0),meet(join(X2,X0),X1)) = meet(join(meet(X2,X0),join(meet(X0,X1),X2)),join(X1,meet(X2,meet(X0,join(X1,join(meet(X0,X1),X2)))))),
inference(forward_demodulation,[],[f1091,f291]) ).
fof(f1112,plain,
! [X2,X0,X1] : join(meet(X2,X0),meet(join(X2,X0),X1)) = meet(join(meet(X2,X0),join(meet(X0,X1),X2)),join(X1,meet(X2,meet(X0,join(X1,X2))))),
inference(forward_demodulation,[],[f1103,f277]) ).
fof(f1118,plain,
! [X2,X0,X1] : join(meet(X2,X0),meet(join(X2,X0),X1)) = meet(join(meet(X2,X0),join(meet(X0,X1),X2)),join(X1,meet(X2,X0))),
inference(forward_demodulation,[],[f1112,f1026]) ).
fof(f1122,plain,
! [X2,X0,X1] : join(meet(X2,X0),meet(join(X2,X0),X1)) = meet(join(X1,meet(X2,X0)),join(meet(X2,X0),join(meet(X0,X1),X2))),
inference(forward_demodulation,[],[f1118,f5]) ).
fof(f1126,plain,
! [X2,X0,X1] : join(meet(X2,X0),meet(join(X2,X0),X1)) = meet(join(X1,meet(X2,X0)),join(X2,join(meet(X2,X0),meet(X0,X1)))),
inference(forward_demodulation,[],[f1122,f291]) ).
fof(f1128,plain,
! [X2,X0,X1] : join(meet(X2,X0),meet(join(X2,X0),X1)) = meet(join(X1,meet(X2,X0)),join(X2,meet(X0,X1))),
inference(forward_demodulation,[],[f1126,f276]) ).
fof(f1131,plain,
! [X2,X0,X1] : meet(join(X2,meet(X0,X1)),join(X1,meet(X0,X2))) = join(meet(X0,X1),meet(join(X1,X0),X2)),
inference(superposition,[],[f1128,f5]) ).
fof(f1136,plain,
! [X2,X0,X1] : join(X0,meet(join(X0,join(X1,X0)),X2)) = meet(join(X2,X0),join(X0,meet(join(X1,X0),X2))),
inference(superposition,[],[f1128,f28]) ).
fof(f1232,plain,
! [X2,X0,X1] : join(X0,meet(join(X0,X1),X2)) = meet(join(X2,X0),join(X0,meet(join(X1,X0),X2))),
inference(forward_demodulation,[],[f1136,f216]) ).
fof(f1380,plain,
! [X2,X0,X1] : meet(join(X1,X0),join(join(X0,X2),meet(X0,X1))) = join(X0,meet(join(join(X0,X2),X0),X1)),
inference(superposition,[],[f1131,f3]) ).
fof(f1381,plain,
! [X2,X0,X1] : meet(join(X1,X0),join(join(X2,X0),meet(X0,X1))) = join(X0,meet(join(join(X2,X0),X0),X1)),
inference(superposition,[],[f1131,f28]) ).
fof(f1434,plain,
! [X2,X0,X1] : join(X1,meet(X0,X2)) = join(join(X1,meet(X0,X2)),join(meet(X0,X1),meet(join(X1,X0),X2))),
inference(superposition,[],[f30,f1131]) ).
fof(f1447,plain,
! [X2,X0,X1] : join(X1,meet(X0,X2)) = join(X1,join(meet(X0,X2),join(meet(X0,X1),meet(join(X1,X0),X2)))),
inference(forward_demodulation,[],[f1434,f8]) ).
fof(f1495,plain,
! [X2,X0,X1] : meet(join(X1,X0),join(join(X2,X0),meet(X0,X1))) = join(X0,meet(join(X2,join(X0,X0)),X1)),
inference(forward_demodulation,[],[f1381,f8]) ).
fof(f1496,plain,
! [X2,X0,X1] : join(X0,meet(join(X0,join(X2,X0)),X1)) = meet(join(X1,X0),join(join(X0,X2),meet(X0,X1))),
inference(forward_demodulation,[],[f1380,f8]) ).
fof(f1539,plain,
! [X2,X0,X1] : join(X0,meet(join(X2,X0),X1)) = meet(join(X1,X0),join(join(X2,X0),meet(X0,X1))),
inference(forward_demodulation,[],[f1495,f2]) ).
fof(f1540,plain,
! [X2,X0,X1] : join(X0,meet(join(X0,join(X2,X0)),X1)) = meet(join(X1,X0),join(X0,join(X2,meet(X0,X1)))),
inference(forward_demodulation,[],[f1496,f8]) ).
fof(f1579,plain,
! [X2,X0,X1] : join(X0,meet(join(X2,X0),X1)) = meet(join(X1,X0),join(X2,join(X0,meet(X0,X1)))),
inference(forward_demodulation,[],[f1539,f8]) ).
fof(f1580,plain,
! [X2,X0,X1] : meet(join(X1,X0),join(X0,X2)) = join(X0,meet(join(X0,join(X2,X0)),X1)),
inference(forward_demodulation,[],[f1540,f370]) ).
fof(f1603,plain,
! [X2,X0,X1] : join(X0,meet(join(X2,X0),X1)) = meet(join(X1,X0),join(X2,X0)),
inference(forward_demodulation,[],[f1579,f4]) ).
fof(f1604,plain,
! [X2,X0,X1] : join(X0,meet(join(X0,X2),X1)) = meet(join(X1,X0),join(X0,X2)),
inference(forward_demodulation,[],[f1580,f216]) ).
fof(f1652,plain,
! [X2,X0,X1] : join(X0,meet(join(X0,X1),X2)) = meet(join(X2,X0),meet(join(X2,X0),join(X1,X0))),
inference(backward_demodulation,[],[f1232,f1603]) ).
fof(f1719,plain,
! [X2,X0,X1] : join(X0,meet(join(X0,X1),X2)) = meet(join(X2,X0),join(X1,X0)),
inference(forward_demodulation,[],[f1652,f304]) ).
fof(f1770,plain,
! [X2,X0,X1] : meet(join(X2,X0),join(X0,X1)) = meet(join(X2,X0),join(X1,X0)),
inference(forward_demodulation,[],[f1719,f1604]) ).
fof(f2865,plain,
! [X2,X3,X0,X1] : join(meet(join(X2,X0),X1),X3) = join(meet(join(X2,X0),X1),join(meet(X0,X1),X3)),
inference(superposition,[],[f277,f242]) ).
fof(f2879,plain,
! [X2,X0,X1] : join(X2,X0) = join(X2,join(X0,meet(X1,X2))),
inference(superposition,[],[f277,f6]) ).
fof(f2951,plain,
! [X2,X3,X0,X1] : join(meet(join(X2,X0),X1),X3) = join(meet(X0,X1),join(X3,meet(join(X2,X0),X1))),
inference(forward_demodulation,[],[f2865,f291]) ).
fof(f2983,plain,
! [X2,X0,X1] : join(X1,meet(X0,X2)) = join(X1,join(meet(join(X1,X0),X2),meet(X0,X1))),
inference(backward_demodulation,[],[f1447,f2951]) ).
fof(f3002,plain,
! [X2,X0,X1] : join(X1,meet(join(X1,X0),X2)) = join(X1,meet(X0,X2)),
inference(forward_demodulation,[],[f2983,f2879]) ).
fof(f3013,plain,
! [X2,X0,X1] : join(X1,meet(X0,X2)) = meet(join(X2,X1),join(X1,X0)),
inference(forward_demodulation,[],[f3002,f1604]) ).
fof(f3032,plain,
! [X2,X0,X1] : join(X0,meet(X1,X2)) = meet(join(X2,X0),join(X1,X0)),
inference(backward_demodulation,[],[f1770,f3013]) ).
fof(f3281,plain,
( ! [X0] : join(a,meet(X0,c)) = meet(sF3,join(X0,a))
| ~ spl5_5 ),
inference(superposition,[],[f3032,f165]) ).
fof(f7126,plain,
( join(a,sF0) = meet(sF3,join(b,a))
| ~ spl5_3
| ~ spl5_5 ),
inference(superposition,[],[f3281,f141]) ).
fof(f7171,plain,
( join(a,sF0) = meet(sF3,sF2)
| ~ spl5_3
| ~ spl5_5
| ~ spl5_6 ),
inference(forward_demodulation,[],[f7126,f172]) ).
fof(f7188,plain,
( join(a,sF0) = meet(sF2,sF3)
| ~ spl5_3
| ~ spl5_5
| ~ spl5_6 ),
inference(forward_demodulation,[],[f7171,f5]) ).
fof(f7197,plain,
( join(a,sF0) = sF4
| ~ spl5_3
| ~ spl5_4
| ~ spl5_5
| ~ spl5_6 ),
inference(forward_demodulation,[],[f7188,f160]) ).
fof(f7203,plain,
( sF4 = join(sF0,a)
| ~ spl5_3
| ~ spl5_4
| ~ spl5_5
| ~ spl5_6 ),
inference(forward_demodulation,[],[f7197,f6]) ).
fof(f7208,plain,
( sF1 = sF4
| ~ spl5_1
| ~ spl5_3
| ~ spl5_4
| ~ spl5_5
| ~ spl5_6 ),
inference(forward_demodulation,[],[f7203,f130]) ).
fof(f7212,plain,
( $false
| ~ spl5_1
| spl5_2
| ~ spl5_3
| ~ spl5_4
| ~ spl5_5
| ~ spl5_6 ),
inference(forward_subsumption_resolution,[],[f7208,f136]) ).
fof(f7213,plain,
( ~ spl5_1
| spl5_2
| ~ spl5_3
| ~ spl5_4
| ~ spl5_5
| ~ spl5_6 ),
inference(avatar_contradiction_clause,[],[f7212]) ).
cnf(s1,plain,
spl5_1,
inference(sat_conversion,[],[f131]) ).
cnf(s2,plain,
~ spl5_2,
inference(sat_conversion,[],[f137]) ).
cnf(s3,plain,
spl5_3,
inference(sat_conversion,[],[f142]) ).
cnf(s4,plain,
spl5_4,
inference(sat_conversion,[],[f161]) ).
cnf(s5,plain,
spl5_5,
inference(sat_conversion,[],[f166]) ).
cnf(s6,plain,
spl5_6,
inference(sat_conversion,[],[f173]) ).
cnf(s12,plain,
( ~ spl5_1
| spl5_2
| ~ spl5_3
| ~ spl5_4
| ~ spl5_5
| ~ spl5_6 ),
inference(sat_conversion,[],[f7213]) ).
cnf(s16,plain,
~ spl5_1,
inference(rat,[],[s12,s6,s5,s4,s3,s2]) ).
cnf(s17,plain,
$false,
inference(rat,[],[s1,s16]) ).
fof(f7215,plain,
$false,
inference(avatar_sat_refutation,[],[s17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT009-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n017.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 13:51:35 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.30/1.84 % (2565365)Detected a unit-equality problem, will run specialized UEQ schedule.
% 5.30/1.84 % (2565370)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=2201044697:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 5.30/1.84 % (2565375)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3915113233:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 5.30/1.84 % (2565374)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2514417077:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 5.30/1.84 % (2565372)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=233306906:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 5.30/1.84 % (2565373)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=4070134769:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 5.30/1.84 % (2565371)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=127556002:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 5.30/1.84 % (2565376)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1222041407:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 5.30/1.84 % (2565374)Refutation not found, incomplete strategy
% 5.30/1.84 % (2565374)------------------------------
% 5.30/1.84 % (2565374)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.30/1.84 % (2565374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/1.84 % (2565374)CaDiCaL version: 2.1.3
% 5.30/1.84 % (2565374)Termination reason: Refutation not found, incomplete strategy
% 5.30/1.84 % (2565374)Time elapsed: 0.001 s
% 5.30/1.84 % (2565374)Peak memory usage: 87 MB
% 5.30/1.84 % (2565374)Instructions burned: 1 (million)
% 5.30/1.84 % (2565373)Instruction limit reached!
% 5.30/1.84 % (2565373)------------------------------
% 5.30/1.84 % (2565373)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.30/1.84 % (2565373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/1.84 % (2565373)CaDiCaL version: 2.1.3
% 5.30/1.84 % (2565373)Termination reason: Instruction limit
% 5.30/1.84 % (2565373)Termination phase: Saturation
% 5.30/1.84 % (2565373)Time elapsed: 0.085 s
% 5.30/1.84 % (2565373)Peak memory usage: 88 MB
% 5.30/1.84 % (2565373)Instructions burned: 137 (million)
% 5.30/1.84 % (2565375)Instruction limit reached!
% 5.30/1.84 % (2565375)------------------------------
% 5.30/1.84 % (2565375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.30/1.84 % (2565375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/1.84 % (2565375)CaDiCaL version: 2.1.3
% 5.30/1.84 % (2565375)Termination reason: Instruction limit
% 5.30/1.84 % (2565375)Termination phase: Saturation
% 5.30/1.84 % (2565375)Time elapsed: 0.168 s
% 5.30/1.84 % (2565375)Peak memory usage: 90 MB
% 5.30/1.84 % (2565375)Instructions burned: 257 (million)
% 5.30/1.84 % (2565384)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1321437848:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 5.30/1.84 % (2565374)------------------------------
% 5.30/1.84 % (2565374)------------------------------
% 5.30/1.84 % (2565385)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3339324517:i=4948:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/4948Mi)
% 5.30/1.84 % (2565387)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=3586763078:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 5.30/1.84 % (2565387)Instruction limit reached!
% 5.30/1.84 % (2565387)------------------------------
% 5.30/1.84 % (2565387)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.30/1.84 % (2565387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/1.84 % (2565387)CaDiCaL version: 2.1.3
% 5.30/1.84 % (2565387)Termination reason: Instruction limit
% 5.30/1.84 % (2565387)Termination phase: Saturation
% 5.30/1.84 % (2565387)Time elapsed: 0.107 s
% 5.30/1.84 % (2565387)Peak memory usage: 89 MB
% 5.30/1.84 % (2565387)Instructions burned: 215 (million)
% 5.30/1.84 % (2565376)Instruction limit reached!
% 5.30/1.84 % (2565376)------------------------------
% 5.30/1.84 % (2565376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.30/1.84 % (2565376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/1.84 % (2565376)CaDiCaL version: 2.1.3
% 5.30/1.84 % (2565376)Termination reason: Instruction limit
% 5.30/1.84 % (2565376)Termination phase: Saturation
% 5.30/1.84 % (2565376)Time elapsed: 0.608 s
% 5.30/1.84 % (2565376)Peak memory usage: 97 MB
% 5.30/1.84 % (2565376)Instructions burned: 1187 (million)
% 5.30/1.84 % (2565390)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=1446080462: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)
% 5.30/1.84 % (2565370)First to succeed.
% 5.30/1.84 % (2565370)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2565365"
% 5.30/1.84 % (2565391)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=1130447167:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/12125Mi)
% 5.30/1.84 % (2565390)Instruction limit reached!
% 5.30/1.84 % (2565390)------------------------------
% 5.30/1.84 % (2565390)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.30/1.84 % (2565390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/1.84 % (2565390)CaDiCaL version: 2.1.3
% 5.30/1.84 % (2565390)Termination reason: Instruction limit
% 5.30/1.84 % (2565390)Termination phase: Saturation
% 5.30/1.84 % (2565390)Time elapsed: 0.199 s
% 5.30/1.84 % (2565390)Peak memory usage: 93 MB
% 5.30/1.84 % (2565390)Instructions burned: 318 (million)
% 5.30/1.84 % (2565370)Refutation found. Thanks to Tanya!
% 5.30/1.84 % SZS status Unsatisfiable for theBenchmark
% 5.30/1.84 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/2.03 % (2565370)------------------------------
% 0.17/2.03 % (2565370)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/2.03 % (2565370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/2.03 % (2565370)CaDiCaL version: 2.1.3
% 0.17/2.03 % (2565370)Termination reason: Refutation
% 0.17/2.03 % (2565370)Time elapsed: 0.726 s
% 0.17/2.03 % (2565370)Peak memory usage: 139 MB
% 0.17/2.03 % (2565370)Instructions burned: 2011 (million)
% 0.17/2.03 % (2565370)------------------------------
% 0.17/2.03 % (2565370)------------------------------
% 0.17/2.03 % (2565365)Success in time 0.987 s
% 0.17/2.03 % Vampire exiting
%------------------------------------------------------------------------------