%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT156-1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 11:46:06 AM UTC 2026
% Result : Unsatisfiable 6.55s 1.64s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 54
% Syntax : Number of formulae : 306 ( 83 unt; 43 def)
% Number of atoms : 706 ( 208 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 771 ( 371 ~; 365 |; 0 &)
% ( 35 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 38 ( 36 usr; 36 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 83 ( 0 sgn 83 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : meet(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_of_meet) ).
fof(f2,axiom,
! [X0] : join(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_of_join) ).
fof(f3,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption1) ).
fof(f4,axiom,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption2) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_meet) ).
fof(f6,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',associativity_of_join) ).
fof(f9,axiom,
! [X2,X3,X0,X1] : meet(X0,join(X1,meet(X2,join(X0,X3)))) = meet(X0,join(X1,join(meet(X0,X2),meet(X2,join(X1,X3))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equation_H49) ).
fof(f10,negated_conjecture,
meet(a,join(b,meet(a,c))) != meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_H6) ).
fof(f11,definition,
~ sP0(meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b))))),
introduced(definition,[new_symbols(definition,[sP0])],[inequality_splitting_name_introduction]) ).
fof(f12,plain,
sP0(meet(a,join(b,meet(a,c)))),
inference(inequality_splitting,[],[f10,f11]) ).
fof(f13,definition,
sF1 = meet(a,c),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f14,plain,
meet(a,c) = sF1,
inference(reorient_equations,[],[f13]) ).
fof(f15,definition,
sF2 = join(b,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f16,plain,
join(b,sF1) = sF2,
inference(reorient_equations,[],[f15]) ).
fof(f17,definition,
sF3 = meet(a,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f18,plain,
meet(a,sF2) = sF3,
inference(reorient_equations,[],[f17]) ).
fof(f19,definition,
sF4 = join(a,b),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f20,plain,
join(a,b) = sF4,
inference(reorient_equations,[],[f19]) ).
fof(f21,definition,
sF5 = meet(c,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f22,plain,
meet(c,sF4) = sF5,
inference(reorient_equations,[],[f21]) ).
fof(f23,definition,
sF6 = join(sF3,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f24,plain,
join(sF3,sF5) = sF6,
inference(reorient_equations,[],[f23]) ).
fof(f25,definition,
sF7 = meet(a,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f26,plain,
meet(a,sF6) = sF7,
inference(reorient_equations,[],[f25]) ).
fof(f27,plain,
~ sP0(sF7),
inference(definition_folding,[],[f11,f26,f24,f22,f20,f18,f16,f14]) ).
fof(f28,plain,
sP0(sF3),
inference(definition_folding,[],[f12,f18,f16,f14]) ).
fof(f30,definition,
( spl8_1
<=> sP0(sF3) ),
introduced(definition,[new_symbols(definition,[spl8_1])],[avatar_definition]) ).
fof(f33,plain,
spl8_1,
inference(avatar_split_clause,[],[f28,f30]) ).
fof(f35,definition,
( spl8_2
<=> sP0(sF7) ),
introduced(definition,[new_symbols(definition,[spl8_2])],[avatar_definition]) ).
fof(f38,plain,
~ spl8_2,
inference(avatar_split_clause,[],[f27,f35]) ).
fof(f39,plain,
sF1 = meet(c,a),
inference(forward_demodulation,[],[f14,f5]) ).
fof(f41,definition,
( spl8_3
<=> join(b,sF1) = sF2 ),
introduced(definition,[new_symbols(definition,[spl8_3])],[avatar_definition]) ).
fof(f43,plain,
( join(b,sF1) = sF2
| ~ spl8_3 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f44,plain,
spl8_3,
inference(avatar_split_clause,[],[f16,f41]) ).
fof(f45,plain,
sF3 = meet(sF2,a),
inference(forward_demodulation,[],[f18,f5]) ).
fof(f46,plain,
sF4 = join(b,a),
inference(forward_demodulation,[],[f20,f6]) ).
fof(f48,definition,
( spl8_4
<=> meet(c,sF4) = sF5 ),
introduced(definition,[new_symbols(definition,[spl8_4])],[avatar_definition]) ).
fof(f50,plain,
( meet(c,sF4) = sF5
| ~ spl8_4 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f51,plain,
spl8_4,
inference(avatar_split_clause,[],[f22,f48]) ).
fof(f52,plain,
sF6 = join(sF5,sF3),
inference(forward_demodulation,[],[f24,f6]) ).
fof(f53,plain,
sF7 = meet(sF6,a),
inference(forward_demodulation,[],[f26,f5]) ).
fof(f55,definition,
( spl8_5
<=> sF1 = meet(c,a) ),
introduced(definition,[new_symbols(definition,[spl8_5])],[avatar_definition]) ).
fof(f57,plain,
( sF1 = meet(c,a)
| ~ spl8_5 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f58,plain,
spl8_5,
inference(avatar_split_clause,[],[f39,f55]) ).
fof(f60,definition,
( spl8_6
<=> sF3 = meet(sF2,a) ),
introduced(definition,[new_symbols(definition,[spl8_6])],[avatar_definition]) ).
fof(f62,plain,
( sF3 = meet(sF2,a)
| ~ spl8_6 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f63,plain,
spl8_6,
inference(avatar_split_clause,[],[f45,f60]) ).
fof(f65,definition,
( spl8_7
<=> sF4 = join(b,a) ),
introduced(definition,[new_symbols(definition,[spl8_7])],[avatar_definition]) ).
fof(f67,plain,
( sF4 = join(b,a)
| ~ spl8_7 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f68,plain,
spl8_7,
inference(avatar_split_clause,[],[f46,f65]) ).
fof(f70,definition,
( spl8_8
<=> sF6 = join(sF5,sF3) ),
introduced(definition,[new_symbols(definition,[spl8_8])],[avatar_definition]) ).
fof(f72,plain,
( sF6 = join(sF5,sF3)
| ~ spl8_8 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f73,plain,
spl8_8,
inference(avatar_split_clause,[],[f52,f70]) ).
fof(f75,definition,
( spl8_9
<=> sF7 = meet(sF6,a) ),
introduced(definition,[new_symbols(definition,[spl8_9])],[avatar_definition]) ).
fof(f77,plain,
( sF7 = meet(sF6,a)
| ~ spl8_9 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f78,plain,
spl8_9,
inference(avatar_split_clause,[],[f53,f75]) ).
fof(f80,plain,
( b = meet(b,sF4)
| ~ spl8_7 ),
inference(superposition,[],[f3,f67]) ).
fof(f89,definition,
( spl8_11
<=> b = meet(b,sF4) ),
introduced(definition,[new_symbols(definition,[spl8_11])],[avatar_definition]) ).
fof(f91,plain,
( b = meet(b,sF4)
| ~ spl8_11 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f92,plain,
( spl8_11
| ~ spl8_7 ),
inference(avatar_split_clause,[],[f80,f65,f89]) ).
fof(f114,definition,
( spl8_14
<=> sF2 = join(sF2,sF3) ),
introduced(definition,[new_symbols(definition,[spl8_14])],[avatar_definition]) ).
fof(f116,plain,
( sF2 = join(sF2,sF3)
| ~ spl8_14 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f132,plain,
! [X0,X1] : join(X1,meet(X0,X1)) = X1,
inference(superposition,[],[f4,f5]) ).
fof(f134,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = X1,
inference(superposition,[],[f3,f6]) ).
fof(f135,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = X1,
inference(superposition,[],[f3,f6]) ).
fof(f143,plain,
( ! [X0] : meet(c,meet(sF4,X0)) = meet(sF5,X0)
| ~ spl8_4 ),
inference(superposition,[],[f7,f50]) ).
fof(f144,plain,
( ! [X0] : meet(c,meet(a,X0)) = meet(sF1,X0)
| ~ spl8_5 ),
inference(superposition,[],[f7,f57]) ).
fof(f145,plain,
( ! [X0] : meet(sF2,meet(a,X0)) = meet(sF3,X0)
| ~ spl8_6 ),
inference(superposition,[],[f7,f62]) ).
fof(f147,plain,
( ! [X0] : meet(sF6,meet(a,X0)) = meet(sF7,X0)
| ~ spl8_9 ),
inference(superposition,[],[f7,f77]) ).
fof(f160,plain,
( ! [X0] : meet(c,sF4) = meet(sF5,join(sF4,X0))
| ~ spl8_4 ),
inference(superposition,[],[f143,f3]) ).
fof(f166,plain,
( ! [X0] : sF5 = meet(sF5,join(sF4,X0))
| ~ spl8_4 ),
inference(forward_demodulation,[],[f160,f50]) ).
fof(f171,definition,
( spl8_17
<=> sF5 = meet(sF4,sF5) ),
introduced(definition,[new_symbols(definition,[spl8_17])],[avatar_definition]) ).
fof(f173,plain,
( sF5 = meet(sF4,sF5)
| ~ spl8_17 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f205,plain,
( ! [X0] : meet(sF2,a) = meet(sF3,join(a,X0))
| ~ spl8_6 ),
inference(superposition,[],[f145,f3]) ).
fof(f209,plain,
( ! [X0] : sF2 = join(sF2,meet(sF3,X0))
| ~ spl8_6 ),
inference(superposition,[],[f4,f145]) ).
fof(f211,plain,
( ! [X0] : sF3 = meet(sF3,join(a,X0))
| ~ spl8_6 ),
inference(forward_demodulation,[],[f205,f62]) ).
fof(f221,plain,
( meet(sF6,a) = meet(sF7,a)
| ~ spl8_9 ),
inference(superposition,[],[f147,f1]) ).
fof(f223,plain,
( ! [X0] : meet(sF7,X0) = meet(sF6,meet(X0,a))
| ~ spl8_9 ),
inference(superposition,[],[f147,f5]) ).
fof(f229,plain,
( sF7 = meet(sF7,a)
| ~ spl8_9 ),
inference(forward_demodulation,[],[f221,f77]) ).
fof(f232,definition,
( spl8_22
<=> sF7 = meet(sF7,a) ),
introduced(definition,[new_symbols(definition,[spl8_22])],[avatar_definition]) ).
fof(f234,plain,
( sF7 = meet(sF7,a)
| ~ spl8_22 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f235,plain,
( spl8_22
| ~ spl8_9 ),
inference(avatar_split_clause,[],[f229,f75,f232]) ).
fof(f280,plain,
( ! [X0] : sF2 = join(sF2,meet(X0,sF3))
| ~ spl8_6 ),
inference(superposition,[],[f209,f5]) ).
fof(f286,plain,
( ! [X0] : sF3 = meet(sF3,join(X0,a))
| ~ spl8_6 ),
inference(superposition,[],[f211,f6]) ).
fof(f365,plain,
( ! [X0] : join(sF2,X0) = join(b,join(sF1,X0))
| ~ spl8_3 ),
inference(superposition,[],[f8,f43]) ).
fof(f366,plain,
( ! [X0] : join(sF4,X0) = join(b,join(a,X0))
| ~ spl8_7 ),
inference(superposition,[],[f8,f67]) ).
fof(f375,plain,
( ! [X0] : join(sF6,X0) = join(sF5,join(sF3,X0))
| ~ spl8_8 ),
inference(superposition,[],[f8,f72]) ).
fof(f391,plain,
( ! [X0] : join(b,sF1) = join(sF2,meet(sF1,X0))
| ~ spl8_3 ),
inference(superposition,[],[f365,f4]) ).
fof(f397,plain,
( ! [X0] : sF2 = join(sF2,meet(sF1,X0))
| ~ spl8_3 ),
inference(forward_demodulation,[],[f391,f43]) ).
fof(f402,definition,
( spl8_25
<=> sF2 = join(sF1,sF2) ),
introduced(definition,[new_symbols(definition,[spl8_25])],[avatar_definition]) ).
fof(f404,plain,
( sF2 = join(sF1,sF2)
| ~ spl8_25 ),
inference(avatar_component_clause,[],[f402]) ).
fof(f410,definition,
( spl8_26
<=> sF1 = meet(sF1,sF2) ),
introduced(definition,[new_symbols(definition,[spl8_26])],[avatar_definition]) ).
fof(f412,plain,
( sF1 = meet(sF1,sF2)
| ~ spl8_26 ),
inference(avatar_component_clause,[],[f410]) ).
fof(f421,plain,
( ! [X0] : join(b,a) = join(sF4,meet(a,X0))
| ~ spl8_7 ),
inference(superposition,[],[f366,f4]) ).
fof(f423,plain,
( ! [X0] : join(sF4,X0) = join(b,join(X0,a))
| ~ spl8_7 ),
inference(superposition,[],[f366,f6]) ).
fof(f427,plain,
( ! [X0] : sF4 = join(sF4,meet(a,X0))
| ~ spl8_7 ),
inference(forward_demodulation,[],[f421,f67]) ).
fof(f431,definition,
( spl8_28
<=> sF4 = join(sF4,a) ),
introduced(definition,[new_symbols(definition,[spl8_28])],[avatar_definition]) ).
fof(f433,plain,
( sF4 = join(sF4,a)
| ~ spl8_28 ),
inference(avatar_component_clause,[],[f431]) ).
fof(f440,plain,
( join(sF5,sF3) = join(sF6,sF3)
| ~ spl8_8 ),
inference(superposition,[],[f375,f2]) ).
fof(f442,plain,
( ! [X0] : join(sF6,X0) = join(sF5,join(X0,sF3))
| ~ spl8_8 ),
inference(superposition,[],[f375,f6]) ).
fof(f443,plain,
( ! [X0] : join(sF6,X0) = join(sF5,join(X0,sF3))
| ~ spl8_8 ),
inference(superposition,[],[f375,f6]) ).
fof(f448,plain,
( sF6 = join(sF6,sF3)
| ~ spl8_8 ),
inference(forward_demodulation,[],[f440,f72]) ).
fof(f451,definition,
( spl8_29
<=> sF6 = join(sF6,sF3) ),
introduced(definition,[new_symbols(definition,[spl8_29])],[avatar_definition]) ).
fof(f453,plain,
( sF6 = join(sF6,sF3)
| ~ spl8_29 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f454,plain,
( spl8_29
| ~ spl8_8 ),
inference(avatar_split_clause,[],[f448,f70,f451]) ).
fof(f531,plain,
( sF4 = join(sF4,b)
| ~ spl8_11 ),
inference(superposition,[],[f132,f91]) ).
fof(f536,plain,
( ! [X0] : meet(a,X0) = join(meet(a,X0),meet(sF1,X0))
| ~ spl8_5 ),
inference(superposition,[],[f132,f144]) ).
fof(f545,plain,
( ! [X0] : meet(a,X0) = join(meet(a,X0),meet(sF3,X0))
| ~ spl8_6 ),
inference(superposition,[],[f132,f145]) ).
fof(f582,plain,
( ! [X0] : meet(a,X0) = join(meet(sF3,X0),meet(a,X0))
| ~ spl8_6 ),
inference(forward_demodulation,[],[f545,f6]) ).
fof(f589,plain,
( ! [X0] : meet(a,X0) = join(meet(sF1,X0),meet(a,X0))
| ~ spl8_5 ),
inference(forward_demodulation,[],[f536,f6]) ).
fof(f593,plain,
( sF4 = join(b,sF4)
| ~ spl8_11 ),
inference(forward_demodulation,[],[f531,f6]) ).
fof(f603,definition,
( spl8_33
<=> sF6 = join(sF5,sF6) ),
introduced(definition,[new_symbols(definition,[spl8_33])],[avatar_definition]) ).
fof(f605,plain,
( sF6 = join(sF5,sF6)
| ~ spl8_33 ),
inference(avatar_component_clause,[],[f603]) ).
fof(f624,definition,
( spl8_36
<=> sF4 = join(b,sF4) ),
introduced(definition,[new_symbols(definition,[spl8_36])],[avatar_definition]) ).
fof(f626,plain,
( sF4 = join(b,sF4)
| ~ spl8_36 ),
inference(avatar_component_clause,[],[f624]) ).
fof(f627,plain,
( spl8_36
| ~ spl8_11 ),
inference(avatar_split_clause,[],[f593,f89,f624]) ).
fof(f710,definition,
( spl8_44
<=> sF3 = join(sF1,sF3) ),
introduced(definition,[new_symbols(definition,[spl8_44])],[avatar_definition]) ).
fof(f712,plain,
( sF3 = join(sF1,sF3)
| ~ spl8_44 ),
inference(avatar_component_clause,[],[f710]) ).
fof(f775,plain,
( meet(sF7,sF7) = meet(sF6,sF7)
| ~ spl8_9
| ~ spl8_22 ),
inference(superposition,[],[f223,f234]) ).
fof(f781,plain,
( sF7 = meet(sF6,sF7)
| ~ spl8_9
| ~ spl8_22 ),
inference(forward_demodulation,[],[f775,f1]) ).
fof(f789,definition,
( spl8_48
<=> sF7 = meet(sF6,sF7) ),
introduced(definition,[new_symbols(definition,[spl8_48])],[avatar_definition]) ).
fof(f792,plain,
( spl8_48
| ~ spl8_9
| ~ spl8_22 ),
inference(avatar_split_clause,[],[f781,f232,f75,f789]) ).
fof(f835,plain,
( ! [X0,X1] : meet(sF6,join(X0,meet(a,join(sF6,X1)))) = meet(sF6,join(X0,join(sF7,meet(a,join(X0,X1)))))
| ~ spl8_9 ),
inference(superposition,[],[f9,f77]) ).
fof(f849,plain,
( ! [X0,X1] : meet(X0,join(b,meet(X1,join(X0,a)))) = meet(X0,join(b,join(meet(X0,X1),meet(X1,sF4))))
| ~ spl8_7 ),
inference(superposition,[],[f9,f67]) ).
fof(f852,plain,
( ! [X0,X1] : meet(X0,join(b,join(meet(X0,X1),meet(X1,sF4)))) = meet(X0,join(b,meet(X1,join(X0,sF4))))
| ~ spl8_36 ),
inference(superposition,[],[f9,f626]) ).
fof(f867,plain,
( ! [X0,X1] : meet(X0,join(sF5,meet(X1,join(X0,sF3)))) = meet(X0,join(sF5,join(meet(X0,X1),meet(X1,sF6))))
| ~ spl8_8 ),
inference(superposition,[],[f9,f72]) ).
fof(f869,plain,
( ! [X0,X1] : meet(X0,join(sF5,join(meet(X0,X1),meet(X1,sF6)))) = meet(X0,join(sF5,meet(X1,join(X0,sF6))))
| ~ spl8_33 ),
inference(superposition,[],[f9,f605]) ).
fof(f943,plain,
( ! [X0,X1] : meet(X0,join(sF5,meet(X1,join(X0,sF3)))) = meet(X0,join(sF5,meet(X1,join(X0,sF6))))
| ~ spl8_8
| ~ spl8_33 ),
inference(forward_demodulation,[],[f867,f869]) ).
fof(f944,plain,
( ! [X0,X1] : meet(X0,join(b,meet(X1,join(X0,a)))) = meet(X0,join(b,meet(X1,join(X0,sF4))))
| ~ spl8_7
| ~ spl8_36 ),
inference(forward_demodulation,[],[f849,f852]) ).
fof(f1008,plain,
( ! [X0] : meet(X0,join(sF5,meet(join(X0,sF3),join(X0,sF6)))) = meet(X0,join(sF5,join(X0,sF3)))
| ~ spl8_8
| ~ spl8_33 ),
inference(superposition,[],[f943,f1]) ).
fof(f1010,plain,
( ! [X0,X1] : meet(X0,join(sF5,meet(X1,join(X0,sF6)))) = meet(X0,join(sF5,meet(join(X0,sF3),X1)))
| ~ spl8_8
| ~ spl8_33 ),
inference(superposition,[],[f943,f5]) ).
fof(f1056,plain,
( ! [X0] : meet(X0,join(sF5,meet(join(X0,sF3),join(X0,sF6)))) = meet(X0,join(sF6,X0))
| ~ spl8_8
| ~ spl8_33 ),
inference(forward_demodulation,[],[f1008,f443]) ).
fof(f1071,plain,
( ! [X0] : meet(X0,join(sF5,meet(join(X0,sF3),join(X0,sF6)))) = X0
| ~ spl8_8
| ~ spl8_33 ),
inference(forward_demodulation,[],[f1056,f135]) ).
fof(f1081,plain,
( ! [X0] : meet(X0,join(sF5,meet(join(X0,sF6),join(X0,sF6)))) = X0
| ~ spl8_8
| ~ spl8_33 ),
inference(forward_demodulation,[],[f1071,f1010]) ).
fof(f1085,plain,
( ! [X0] : meet(X0,join(sF5,join(X0,sF6))) = X0
| ~ spl8_8
| ~ spl8_33 ),
inference(forward_demodulation,[],[f1081,f1]) ).
fof(f1105,plain,
( ! [X0] : meet(a,join(b,meet(X0,join(a,sF4)))) = meet(a,join(b,meet(X0,a)))
| ~ spl8_7
| ~ spl8_36 ),
inference(superposition,[],[f944,f2]) ).
fof(f1116,plain,
( ! [X0] : meet(X0,join(b,meet(join(X0,a),join(X0,sF4)))) = meet(X0,join(b,join(X0,a)))
| ~ spl8_7
| ~ spl8_36 ),
inference(superposition,[],[f944,f1]) ).
fof(f1118,plain,
( ! [X0,X1] : meet(X0,join(b,meet(X1,join(X0,sF4)))) = meet(X0,join(b,meet(join(X0,a),X1)))
| ~ spl8_7
| ~ spl8_36 ),
inference(superposition,[],[f944,f5]) ).
fof(f1163,plain,
( ! [X0] : meet(X0,join(b,meet(join(X0,a),join(X0,sF4)))) = meet(X0,join(sF4,X0))
| ~ spl8_7
| ~ spl8_36 ),
inference(forward_demodulation,[],[f1116,f423]) ).
fof(f1169,plain,
( ! [X0] : meet(a,join(b,meet(X0,a))) = meet(a,join(b,meet(X0,join(sF4,a))))
| ~ spl8_7
| ~ spl8_36 ),
inference(forward_demodulation,[],[f1105,f6]) ).
fof(f1181,plain,
( ! [X0] : meet(X0,join(b,meet(join(X0,a),join(X0,sF4)))) = X0
| ~ spl8_7
| ~ spl8_36 ),
inference(forward_demodulation,[],[f1163,f135]) ).
fof(f1183,plain,
( ! [X0] : meet(a,join(b,meet(X0,a))) = meet(a,join(b,meet(X0,sF4)))
| ~ spl8_7
| ~ spl8_28
| ~ spl8_36 ),
inference(forward_demodulation,[],[f1169,f433]) ).
fof(f1190,plain,
( ! [X0] : meet(X0,join(b,meet(join(X0,sF4),join(X0,sF4)))) = X0
| ~ spl8_7
| ~ spl8_36 ),
inference(forward_demodulation,[],[f1181,f1118]) ).
fof(f1195,plain,
( ! [X0] : meet(X0,join(b,join(X0,sF4))) = X0
| ~ spl8_7
| ~ spl8_36 ),
inference(forward_demodulation,[],[f1190,f1]) ).
fof(f1943,plain,
( meet(sF6,join(sF1,meet(a,join(sF6,sF2)))) = meet(sF6,join(sF1,join(sF7,meet(a,sF2))))
| ~ spl8_9
| ~ spl8_25 ),
inference(superposition,[],[f835,f404]) ).
fof(f2004,plain,
( meet(sF6,join(sF1,meet(a,join(sF6,sF2)))) = meet(sF6,join(sF1,join(sF7,meet(sF2,a))))
| ~ spl8_9
| ~ spl8_25 ),
inference(forward_demodulation,[],[f1943,f5]) ).
fof(f2038,plain,
( meet(sF6,join(sF1,meet(a,join(sF6,sF2)))) = meet(sF6,join(sF1,join(sF7,sF3)))
| ~ spl8_6
| ~ spl8_9
| ~ spl8_25 ),
inference(forward_demodulation,[],[f2004,f62]) ).
fof(f2071,plain,
( meet(sF6,join(sF1,join(sF7,sF3))) = meet(sF6,join(sF1,meet(a,join(sF2,sF6))))
| ~ spl8_6
| ~ spl8_9
| ~ spl8_25 ),
inference(forward_demodulation,[],[f2038,f6]) ).
fof(f2100,definition,
( spl8_85
<=> meet(sF6,join(sF1,join(sF7,sF3))) = meet(sF6,join(sF1,meet(a,join(sF2,sF6)))) ),
introduced(definition,[new_symbols(definition,[spl8_85])],[avatar_definition]) ).
fof(f2103,plain,
( spl8_85
| ~ spl8_6
| ~ spl8_9
| ~ spl8_25 ),
inference(avatar_split_clause,[],[f2071,f402,f75,f60,f2100]) ).
fof(f2757,definition,
( spl8_103
<=> sF5 = join(sF1,sF5) ),
introduced(definition,[new_symbols(definition,[spl8_103])],[avatar_definition]) ).
fof(f2759,plain,
( sF5 = join(sF1,sF5)
| ~ spl8_103 ),
inference(avatar_component_clause,[],[f2757]) ).
fof(f2805,plain,
( join(b,sF5) = join(sF2,sF5)
| ~ spl8_3
| ~ spl8_103 ),
inference(superposition,[],[f365,f2759]) ).
fof(f2819,definition,
( spl8_105
<=> join(b,sF5) = join(sF2,sF5) ),
introduced(definition,[new_symbols(definition,[spl8_105])],[avatar_definition]) ).
fof(f2821,plain,
( join(b,sF5) = join(sF2,sF5)
| ~ spl8_105 ),
inference(avatar_component_clause,[],[f2819]) ).
fof(f2822,plain,
( spl8_105
| ~ spl8_3
| ~ spl8_103 ),
inference(avatar_split_clause,[],[f2805,f2757,f41,f2819]) ).
fof(f2900,definition,
( spl8_110
<=> sF4 = join(sF4,sF3) ),
introduced(definition,[new_symbols(definition,[spl8_110])],[avatar_definition]) ).
fof(f2902,plain,
( sF4 = join(sF4,sF3)
| ~ spl8_110 ),
inference(avatar_component_clause,[],[f2900]) ).
fof(f2936,plain,
( sF5 = meet(sF5,sF4)
| ~ spl8_4
| ~ spl8_110 ),
inference(superposition,[],[f166,f2902]) ).
fof(f2950,plain,
( sF5 = meet(sF4,sF5)
| ~ spl8_4
| ~ spl8_110 ),
inference(forward_demodulation,[],[f2936,f5]) ).
fof(f2955,plain,
( spl8_17
| ~ spl8_4
| ~ spl8_110 ),
inference(avatar_split_clause,[],[f2950,f2900,f48,f171]) ).
fof(f2965,plain,
( join(sF5,sF3) = join(sF6,sF1)
| ~ spl8_8
| ~ spl8_44 ),
inference(superposition,[],[f442,f712]) ).
fof(f2966,plain,
( join(sF5,sF2) = join(sF6,sF2)
| ~ spl8_8
| ~ spl8_14 ),
inference(superposition,[],[f442,f116]) ).
fof(f2969,plain,
( join(sF5,sF6) = join(sF6,sF6)
| ~ spl8_8
| ~ spl8_29 ),
inference(superposition,[],[f442,f453]) ).
fof(f2983,plain,
( sF6 = join(sF5,sF6)
| ~ spl8_8
| ~ spl8_29 ),
inference(forward_demodulation,[],[f2969,f2]) ).
fof(f2986,plain,
( join(sF2,sF6) = join(sF5,sF2)
| ~ spl8_8
| ~ spl8_14 ),
inference(forward_demodulation,[],[f2966,f6]) ).
fof(f2987,plain,
( join(sF5,sF3) = join(sF1,sF6)
| ~ spl8_8
| ~ spl8_44 ),
inference(forward_demodulation,[],[f2965,f6]) ).
fof(f2993,plain,
( spl8_33
| ~ spl8_8
| ~ spl8_29 ),
inference(avatar_split_clause,[],[f2983,f451,f70,f603]) ).
fof(f2996,plain,
( join(sF2,sF6) = join(sF2,sF5)
| ~ spl8_8
| ~ spl8_14 ),
inference(forward_demodulation,[],[f2986,f6]) ).
fof(f2997,plain,
( sF6 = join(sF1,sF6)
| ~ spl8_8
| ~ spl8_44 ),
inference(forward_demodulation,[],[f2987,f72]) ).
fof(f3001,plain,
( join(sF2,sF6) = join(b,sF5)
| ~ spl8_8
| ~ spl8_14
| ~ spl8_105 ),
inference(forward_demodulation,[],[f2996,f2821]) ).
fof(f3003,definition,
( spl8_111
<=> sF6 = join(sF1,sF6) ),
introduced(definition,[new_symbols(definition,[spl8_111])],[avatar_definition]) ).
fof(f3005,plain,
( sF6 = join(sF1,sF6)
| ~ spl8_111 ),
inference(avatar_component_clause,[],[f3003]) ).
fof(f3006,plain,
( spl8_111
| ~ spl8_8
| ~ spl8_44 ),
inference(avatar_split_clause,[],[f2997,f710,f70,f3003]) ).
fof(f3014,definition,
( spl8_113
<=> join(sF2,sF6) = join(b,sF5) ),
introduced(definition,[new_symbols(definition,[spl8_113])],[avatar_definition]) ).
fof(f3017,plain,
( spl8_113
| ~ spl8_8
| ~ spl8_14
| ~ spl8_105 ),
inference(avatar_split_clause,[],[f3001,f2819,f114,f70,f3014]) ).
fof(f3024,plain,
( sF1 = meet(sF1,sF6)
| ~ spl8_111 ),
inference(superposition,[],[f3,f3005]) ).
fof(f3036,definition,
( spl8_115
<=> sF1 = meet(sF1,sF6) ),
introduced(definition,[new_symbols(definition,[spl8_115])],[avatar_definition]) ).
fof(f3038,plain,
( sF1 = meet(sF1,sF6)
| ~ spl8_115 ),
inference(avatar_component_clause,[],[f3036]) ).
fof(f3039,plain,
( spl8_115
| ~ spl8_111 ),
inference(avatar_split_clause,[],[f3024,f3003,f3036]) ).
fof(f3109,plain,
( sF4 = join(sF4,a)
| ~ spl8_7
| ~ spl8_8
| ~ spl8_33 ),
inference(superposition,[],[f427,f1085]) ).
fof(f3138,plain,
( spl8_28
| ~ spl8_7
| ~ spl8_8
| ~ spl8_33 ),
inference(avatar_split_clause,[],[f3109,f603,f70,f65,f431]) ).
fof(f3175,definition,
( spl8_119
<=> sF3 = meet(sF6,sF3) ),
introduced(definition,[new_symbols(definition,[spl8_119])],[avatar_definition]) ).
fof(f3211,plain,
( sF2 = join(sF2,sF1)
| ~ spl8_3
| ~ spl8_7
| ~ spl8_36 ),
inference(superposition,[],[f397,f1195]) ).
fof(f3232,plain,
( sF2 = join(sF1,sF2)
| ~ spl8_3
| ~ spl8_7
| ~ spl8_36 ),
inference(forward_demodulation,[],[f3211,f6]) ).
fof(f3252,plain,
( spl8_25
| ~ spl8_3
| ~ spl8_7
| ~ spl8_36 ),
inference(avatar_split_clause,[],[f3232,f624,f65,f41,f402]) ).
fof(f3276,definition,
( spl8_121
<=> a = meet(sF4,a) ),
introduced(definition,[new_symbols(definition,[spl8_121])],[avatar_definition]) ).
fof(f3278,plain,
( a = meet(sF4,a)
| ~ spl8_121 ),
inference(avatar_component_clause,[],[f3276]) ).
fof(f3288,definition,
( spl8_122
<=> sF3 = meet(sF4,sF3) ),
introduced(definition,[new_symbols(definition,[spl8_122])],[avatar_definition]) ).
fof(f3290,plain,
( sF3 = meet(sF4,sF3)
| ~ spl8_122 ),
inference(avatar_component_clause,[],[f3288]) ).
fof(f3540,plain,
( meet(c,a) = meet(sF5,a)
| ~ spl8_4
| ~ spl8_121 ),
inference(superposition,[],[f143,f3278]) ).
fof(f3555,plain,
( sF1 = meet(sF5,a)
| ~ spl8_4
| ~ spl8_5
| ~ spl8_121 ),
inference(forward_demodulation,[],[f3540,f57]) ).
fof(f3560,definition,
( spl8_126
<=> sF1 = meet(sF5,a) ),
introduced(definition,[new_symbols(definition,[spl8_126])],[avatar_definition]) ).
fof(f3562,plain,
( sF1 = meet(sF5,a)
| ~ spl8_126 ),
inference(avatar_component_clause,[],[f3560]) ).
fof(f3563,plain,
( spl8_126
| ~ spl8_4
| ~ spl8_5
| ~ spl8_121 ),
inference(avatar_split_clause,[],[f3555,f3276,f55,f48,f3560]) ).
fof(f3575,plain,
( meet(a,join(sF5,join(sF3,sF6))) = join(sF3,meet(a,join(sF5,join(sF3,sF6))))
| ~ spl8_6
| ~ spl8_8
| ~ spl8_33 ),
inference(superposition,[],[f582,f1085]) ).
fof(f3608,plain,
( meet(a,join(sF6,sF6)) = join(sF3,meet(a,join(sF6,sF6)))
| ~ spl8_6
| ~ spl8_8
| ~ spl8_33 ),
inference(forward_demodulation,[],[f3575,f375]) ).
fof(f3628,plain,
( meet(a,sF6) = join(sF3,meet(a,sF6))
| ~ spl8_6
| ~ spl8_8
| ~ spl8_33 ),
inference(forward_demodulation,[],[f3608,f2]) ).
fof(f3647,plain,
( meet(sF6,a) = join(sF3,meet(sF6,a))
| ~ spl8_6
| ~ spl8_8
| ~ spl8_33 ),
inference(forward_demodulation,[],[f3628,f5]) ).
fof(f3660,plain,
( sF7 = join(sF3,sF7)
| ~ spl8_6
| ~ spl8_8
| ~ spl8_9
| ~ spl8_33 ),
inference(forward_demodulation,[],[f3647,f77]) ).
fof(f3669,plain,
( sF7 = join(sF7,sF3)
| ~ spl8_6
| ~ spl8_8
| ~ spl8_9
| ~ spl8_33 ),
inference(forward_demodulation,[],[f3660,f6]) ).
fof(f3679,definition,
( spl8_127
<=> sF7 = join(sF7,sF3) ),
introduced(definition,[new_symbols(definition,[spl8_127])],[avatar_definition]) ).
fof(f3682,plain,
( spl8_127
| ~ spl8_6
| ~ spl8_8
| ~ spl8_9
| ~ spl8_33 ),
inference(avatar_split_clause,[],[f3669,f603,f75,f70,f60,f3679]) ).
fof(f3686,plain,
( sF4 = join(sF4,sF3)
| ~ spl8_122 ),
inference(superposition,[],[f4,f3290]) ).
fof(f3693,plain,
( spl8_110
| ~ spl8_122 ),
inference(avatar_split_clause,[],[f3686,f3288,f2900]) ).
fof(f3705,plain,
( meet(a,sF2) = join(sF1,meet(a,sF2))
| ~ spl8_5
| ~ spl8_26 ),
inference(superposition,[],[f589,f412]) ).
fof(f3756,plain,
( meet(sF2,a) = join(sF1,meet(sF2,a))
| ~ spl8_5
| ~ spl8_26 ),
inference(forward_demodulation,[],[f3705,f5]) ).
fof(f3778,plain,
( sF3 = join(sF1,sF3)
| ~ spl8_5
| ~ spl8_6
| ~ spl8_26 ),
inference(forward_demodulation,[],[f3756,f62]) ).
fof(f3801,plain,
( spl8_44
| ~ spl8_5
| ~ spl8_6
| ~ spl8_26 ),
inference(avatar_split_clause,[],[f3778,f410,f60,f55,f710]) ).
fof(f3986,plain,
( sF5 = join(sF5,sF1)
| ~ spl8_126 ),
inference(superposition,[],[f4,f3562]) ).
fof(f3993,plain,
( sF5 = join(sF1,sF5)
| ~ spl8_126 ),
inference(forward_demodulation,[],[f3986,f6]) ).
fof(f4001,plain,
( spl8_103
| ~ spl8_126 ),
inference(avatar_split_clause,[],[f3993,f3560,f2757]) ).
fof(f4164,plain,
( meet(a,sF6) = join(sF1,meet(a,sF6))
| ~ spl8_5
| ~ spl8_115 ),
inference(superposition,[],[f589,f3038]) ).
fof(f4176,plain,
( meet(sF6,a) = join(sF1,meet(sF6,a))
| ~ spl8_5
| ~ spl8_115 ),
inference(forward_demodulation,[],[f4164,f5]) ).
fof(f4180,plain,
( sF7 = join(sF1,sF7)
| ~ spl8_5
| ~ spl8_9
| ~ spl8_115 ),
inference(forward_demodulation,[],[f4176,f77]) ).
fof(f4183,definition,
( spl8_140
<=> sF7 = join(sF1,sF7) ),
introduced(definition,[new_symbols(definition,[spl8_140])],[avatar_definition]) ).
fof(f4186,plain,
( spl8_140
| ~ spl8_5
| ~ spl8_9
| ~ spl8_115 ),
inference(avatar_split_clause,[],[f4180,f3036,f75,f55,f4183]) ).
fof(f4384,plain,
( sF2 = join(sF2,sF3)
| ~ spl8_6
| ~ spl8_122 ),
inference(superposition,[],[f280,f3290]) ).
fof(f4401,plain,
( spl8_14
| ~ spl8_6
| ~ spl8_122 ),
inference(avatar_split_clause,[],[f4384,f3288,f60,f114]) ).
fof(f4638,plain,
( a = meet(a,sF4)
| ~ spl8_7 ),
inference(superposition,[],[f134,f67]) ).
fof(f4639,plain,
( sF1 = meet(sF1,sF2)
| ~ spl8_3 ),
inference(superposition,[],[f134,f43]) ).
fof(f4674,plain,
( sF3 = meet(sF3,sF6)
| ~ spl8_8 ),
inference(superposition,[],[f134,f72]) ).
fof(f4751,plain,
( sF3 = meet(sF6,sF3)
| ~ spl8_8 ),
inference(forward_demodulation,[],[f4674,f5]) ).
fof(f4774,plain,
( spl8_26
| ~ spl8_3 ),
inference(avatar_split_clause,[],[f4639,f41,f410]) ).
fof(f4775,plain,
( a = meet(sF4,a)
| ~ spl8_7 ),
inference(forward_demodulation,[],[f4638,f5]) ).
fof(f4794,plain,
( spl8_119
| ~ spl8_8 ),
inference(avatar_split_clause,[],[f4751,f70,f3175]) ).
fof(f4810,plain,
( spl8_121
| ~ spl8_7 ),
inference(avatar_split_clause,[],[f4775,f65,f3276]) ).
fof(f5446,plain,
( sF3 = meet(sF3,sF4)
| ~ spl8_6
| ~ spl8_7 ),
inference(superposition,[],[f286,f67]) ).
fof(f5472,plain,
( sF3 = meet(sF4,sF3)
| ~ spl8_6
| ~ spl8_7 ),
inference(forward_demodulation,[],[f5446,f5]) ).
fof(f5478,plain,
( spl8_122
| ~ spl8_6
| ~ spl8_7 ),
inference(avatar_split_clause,[],[f5472,f65,f60,f3288]) ).
fof(f5550,plain,
( meet(a,join(b,sF1)) = meet(a,join(b,meet(sF5,sF4)))
| ~ spl8_7
| ~ spl8_28
| ~ spl8_36
| ~ spl8_126 ),
inference(superposition,[],[f1183,f3562]) ).
fof(f5586,plain,
( meet(a,join(b,sF1)) = meet(a,join(b,meet(sF4,sF5)))
| ~ spl8_7
| ~ spl8_28
| ~ spl8_36
| ~ spl8_126 ),
inference(forward_demodulation,[],[f5550,f5]) ).
fof(f5596,plain,
( meet(a,join(b,sF1)) = meet(a,join(b,sF5))
| ~ spl8_7
| ~ spl8_17
| ~ spl8_28
| ~ spl8_36
| ~ spl8_126 ),
inference(forward_demodulation,[],[f5586,f173]) ).
fof(f5603,plain,
( meet(a,sF2) = meet(a,join(b,sF5))
| ~ spl8_3
| ~ spl8_7
| ~ spl8_17
| ~ spl8_28
| ~ spl8_36
| ~ spl8_126 ),
inference(forward_demodulation,[],[f5596,f43]) ).
fof(f5613,plain,
( meet(sF2,a) = meet(a,join(b,sF5))
| ~ spl8_3
| ~ spl8_7
| ~ spl8_17
| ~ spl8_28
| ~ spl8_36
| ~ spl8_126 ),
inference(forward_demodulation,[],[f5603,f5]) ).
fof(f5618,plain,
( sF3 = meet(a,join(b,sF5))
| ~ spl8_3
| ~ spl8_6
| ~ spl8_7
| ~ spl8_17
| ~ spl8_28
| ~ spl8_36
| ~ spl8_126 ),
inference(forward_demodulation,[],[f5613,f62]) ).
fof(f5620,definition,
( spl8_165
<=> sF3 = meet(a,join(b,sF5)) ),
introduced(definition,[new_symbols(definition,[spl8_165])],[avatar_definition]) ).
fof(f5626,plain,
( spl8_165
| ~ spl8_3
| ~ spl8_6
| ~ spl8_7
| ~ spl8_17
| ~ spl8_28
| ~ spl8_36
| ~ spl8_126 ),
inference(avatar_split_clause,[],[f5618,f3560,f624,f431,f171,f65,f60,f41,f5620]) ).
fof(f5628,plain,
( sF3 != meet(a,join(b,sF5))
| join(sF2,sF6) != join(b,sF5)
| join(b,sF5) != join(sF2,sF5)
| sF3 != join(sF1,sF3)
| sF7 != join(sF7,sF3)
| sF7 != join(sF1,sF7)
| sF7 != meet(sF6,sF7)
| meet(sF6,join(sF1,join(sF7,sF3))) != meet(sF6,join(sF1,meet(a,join(sF2,sF6))))
| sF3 != meet(sF6,sF3)
| ~ sP0(sF3)
| sP0(sF7) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
cnf(s1,plain,
spl8_1,
inference(sat_conversion,[],[f33]) ).
cnf(s2,plain,
~ spl8_2,
inference(sat_conversion,[],[f38]) ).
cnf(s3,plain,
spl8_3,
inference(sat_conversion,[],[f44]) ).
cnf(s4,plain,
spl8_4,
inference(sat_conversion,[],[f51]) ).
cnf(s5,plain,
spl8_5,
inference(sat_conversion,[],[f58]) ).
cnf(s6,plain,
spl8_6,
inference(sat_conversion,[],[f63]) ).
cnf(s7,plain,
spl8_7,
inference(sat_conversion,[],[f68]) ).
cnf(s8,plain,
spl8_8,
inference(sat_conversion,[],[f73]) ).
cnf(s9,plain,
spl8_9,
inference(sat_conversion,[],[f78]) ).
cnf(s11,plain,
( ~ spl8_7
| spl8_11 ),
inference(sat_conversion,[],[f92]) ).
cnf(s22,plain,
( ~ spl8_9
| spl8_22 ),
inference(sat_conversion,[],[f235]) ).
cnf(s61,plain,
( ~ spl8_8
| spl8_29 ),
inference(sat_conversion,[],[f454]) ).
cnf(s93,plain,
( ~ spl8_11
| spl8_36 ),
inference(sat_conversion,[],[f627]) ).
cnf(s118,plain,
( ~ spl8_9
| ~ spl8_22
| spl8_48 ),
inference(sat_conversion,[],[f792]) ).
cnf(s175,plain,
( ~ spl8_6
| ~ spl8_9
| ~ spl8_25
| spl8_85 ),
inference(sat_conversion,[],[f2103]) ).
cnf(s224,plain,
( ~ spl8_3
| ~ spl8_103
| spl8_105 ),
inference(sat_conversion,[],[f2822]) ).
cnf(s235,plain,
( ~ spl8_4
| spl8_17
| ~ spl8_110 ),
inference(sat_conversion,[],[f2955]) ).
cnf(s236,plain,
( ~ spl8_8
| ~ spl8_29
| spl8_33 ),
inference(sat_conversion,[],[f2993]) ).
cnf(s237,plain,
( ~ spl8_8
| ~ spl8_44
| spl8_111 ),
inference(sat_conversion,[],[f3006]) ).
cnf(s239,plain,
( ~ spl8_8
| ~ spl8_14
| ~ spl8_105
| spl8_113 ),
inference(sat_conversion,[],[f3017]) ).
cnf(s241,plain,
( ~ spl8_111
| spl8_115 ),
inference(sat_conversion,[],[f3039]) ).
cnf(s252,plain,
( ~ spl8_7
| ~ spl8_8
| spl8_28
| ~ spl8_33 ),
inference(sat_conversion,[],[f3138]) ).
cnf(s263,plain,
( ~ spl8_3
| ~ spl8_7
| spl8_25
| ~ spl8_36 ),
inference(sat_conversion,[],[f3252]) ).
cnf(s290,plain,
( ~ spl8_4
| ~ spl8_5
| ~ spl8_121
| spl8_126 ),
inference(sat_conversion,[],[f3563]) ).
cnf(s297,plain,
( ~ spl8_6
| ~ spl8_8
| ~ spl8_9
| ~ spl8_33
| spl8_127 ),
inference(sat_conversion,[],[f3682]) ).
cnf(s299,plain,
( spl8_110
| ~ spl8_122 ),
inference(sat_conversion,[],[f3693]) ).
cnf(s307,plain,
( ~ spl8_5
| ~ spl8_6
| ~ spl8_26
| spl8_44 ),
inference(sat_conversion,[],[f3801]) ).
cnf(s328,plain,
( spl8_103
| ~ spl8_126 ),
inference(sat_conversion,[],[f4001]) ).
cnf(s348,plain,
( ~ spl8_5
| ~ spl8_9
| ~ spl8_115
| spl8_140 ),
inference(sat_conversion,[],[f4186]) ).
cnf(s364,plain,
( ~ spl8_6
| spl8_14
| ~ spl8_122 ),
inference(sat_conversion,[],[f4401]) ).
cnf(s385,plain,
( ~ spl8_3
| spl8_26 ),
inference(sat_conversion,[],[f4774]) ).
cnf(s393,plain,
( ~ spl8_8
| spl8_119 ),
inference(sat_conversion,[],[f4794]) ).
cnf(s404,plain,
( ~ spl8_7
| spl8_121 ),
inference(sat_conversion,[],[f4810]) ).
cnf(s469,plain,
( ~ spl8_6
| ~ spl8_7
| spl8_122 ),
inference(sat_conversion,[],[f5478]) ).
cnf(s476,plain,
( ~ spl8_3
| ~ spl8_6
| ~ spl8_7
| ~ spl8_17
| ~ spl8_28
| ~ spl8_36
| ~ spl8_126
| spl8_165 ),
inference(sat_conversion,[],[f5626]) ).
cnf(s478,plain,
( ~ spl8_1
| spl8_2
| ~ spl8_44
| ~ spl8_48
| ~ spl8_85
| ~ spl8_105
| ~ spl8_113
| ~ spl8_119
| ~ spl8_127
| ~ spl8_140
| ~ spl8_165 ),
inference(sat_conversion,[],[f5628]) ).
cnf(s480,plain,
spl8_22,
inference(rat,[],[s22,s9]) ).
cnf(s482,plain,
spl8_48,
inference(rat,[],[s118,s9,s480]) ).
cnf(s483,plain,
spl8_119,
inference(rat,[],[s393,s8]) ).
cnf(s484,plain,
spl8_29,
inference(rat,[],[s61,s8]) ).
cnf(s486,plain,
spl8_33,
inference(rat,[],[s236,s8,s484]) ).
cnf(s488,plain,
spl8_121,
inference(rat,[],[s404,s7]) ).
cnf(s489,plain,
spl8_28,
inference(rat,[],[s252,s486,s8,s7]) ).
cnf(s491,plain,
spl8_11,
inference(rat,[],[s11,s7]) ).
cnf(s494,plain,
spl8_36,
inference(rat,[],[s93,s491]) ).
cnf(s497,plain,
spl8_122,
inference(rat,[],[s469,s7,s6]) ).
cnf(s500,plain,
spl8_14,
inference(rat,[],[s364,s497,s6]) ).
cnf(s501,plain,
spl8_127,
inference(rat,[],[s297,s486,s8,s9,s6]) ).
cnf(s505,plain,
spl8_110,
inference(rat,[],[s299,s497]) ).
cnf(s529,plain,
spl8_126,
inference(rat,[],[s290,s5,s488,s4]) ).
cnf(s533,plain,
spl8_17,
inference(rat,[],[s235,s505,s4]) ).
cnf(s544,plain,
spl8_103,
inference(rat,[],[s328,s529]) ).
cnf(s558,plain,
spl8_165,
inference(rat,[],[s476,s533,s529,s494,s489,s6,s7,s3]) ).
cnf(s560,plain,
spl8_26,
inference(rat,[],[s385,s3]) ).
cnf(s562,plain,
spl8_25,
inference(rat,[],[s263,s494,s7,s3]) ).
cnf(s563,plain,
spl8_105,
inference(rat,[],[s224,s544,s3]) ).
cnf(s571,plain,
spl8_44,
inference(rat,[],[s307,s5,s6,s560]) ).
cnf(s575,plain,
spl8_85,
inference(rat,[],[s175,s6,s9,s562]) ).
cnf(s577,plain,
spl8_113,
inference(rat,[],[s239,s500,s8,s563]) ).
cnf(s584,plain,
spl8_111,
inference(rat,[],[s237,s8,s571]) ).
cnf(s605,plain,
spl8_115,
inference(rat,[],[s241,s584]) ).
cnf(s624,plain,
spl8_140,
inference(rat,[],[s348,s5,s9,s605]) ).
cnf(s635,plain,
~ spl8_1,
inference(rat,[],[s478,s558,s624,s501,s483,s577,s563,s575,s482,s571,s2]) ).
cnf(s636,plain,
$false,
inference(rat,[],[s1,s635]) ).
fof(f5629,plain,
$false,
inference(avatar_sat_refutation,[],[s636]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LAT156-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.05/0.32 % Computer : n012.cluster.edu
% 0.05/0.32 % Model : x86_64 x86_64
% 0.05/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.32 % Memory : 8046.5625MB
% 0.05/0.32 % OS : Linux 6.8.0-71-generic
% 0.05/0.32 % CPULimit : 300
% 0.05/0.32 % WCLimit : 300
% 0.05/0.32 % DateTime : Sun Sep 27 14:02:50 UTC 2026
% 0.05/0.32 % CPUTime :
% 0.05/0.32 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.34 Running first-order theorem proving
% 0.07/0.34 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
% 6.55/1.64 % (2407744)Detected a unit-equality problem, will run specialized UEQ schedule.
% 6.55/1.64 % (2407765)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3174446042:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 6.55/1.64 % (2407766)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=923303964:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 6.55/1.64 % (2407763)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=4261093157:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 6.55/1.64 % (2407764)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=4178756405:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 6.55/1.64 % (2407768)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3372071105:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 6.55/1.64 % (2407762)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=3313086678:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 6.55/1.64 % (2407766)Refutation not found, incomplete strategy
% 6.55/1.64 % (2407766)------------------------------
% 6.55/1.64 % (2407766)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/1.64 % (2407766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/1.64 % (2407766)CaDiCaL version: 2.1.3
% 6.55/1.64 % (2407766)Termination reason: Refutation not found, incomplete strategy
% 6.55/1.64 % (2407766)Time elapsed: 0.001 s
% 6.55/1.64 % (2407766)Peak memory usage: 87 MB
% 6.55/1.64 % (2407766)Instructions burned: 1 (million)
% 6.55/1.64 % (2407767)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2718641112:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 6.55/1.64 % (2407765)Instruction limit reached!
% 6.55/1.64 % (2407765)------------------------------
% 6.55/1.64 % (2407765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/1.64 % (2407765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/1.64 % (2407765)CaDiCaL version: 2.1.3
% 6.55/1.64 % (2407765)Termination reason: Instruction limit
% 6.55/1.64 % (2407765)Termination phase: Saturation
% 6.55/1.64 % (2407765)Time elapsed: 0.046 s
% 6.55/1.64 % (2407765)Peak memory usage: 88 MB
% 6.55/1.64 % (2407765)Instructions burned: 136 (million)
% 6.55/1.64 % (2407767)Instruction limit reached!
% 6.55/1.64 % (2407767)------------------------------
% 6.55/1.64 % (2407767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/1.64 % (2407767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/1.64 % (2407767)CaDiCaL version: 2.1.3
% 6.55/1.64 % (2407767)Termination reason: Instruction limit
% 6.55/1.64 % (2407767)Termination phase: Saturation
% 6.55/1.64 % (2407767)Time elapsed: 0.116 s
% 6.55/1.64 % (2407767)Peak memory usage: 90 MB
% 6.55/1.64 % (2407767)Instructions burned: 258 (million)
% 6.55/1.64 % (2407766)------------------------------
% 6.55/1.64 % (2407766)------------------------------
% 6.55/1.64 % (2407784)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=175451704:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2998 on theBenchmark for (2998ds/2051Mi)
% 6.55/1.64 % (2407785)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3059916118:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 6.55/1.64 % (2407768)Instruction limit reached!
% 6.55/1.64 % (2407768)------------------------------
% 6.55/1.64 % (2407768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/1.64 % (2407768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/1.64 % (2407768)CaDiCaL version: 2.1.3
% 6.55/1.64 % (2407768)Termination reason: Instruction limit
% 6.55/1.64 % (2407768)Termination phase: Saturation
% 6.55/1.64 % (2407768)Time elapsed: 0.397 s
% 6.55/1.64 % (2407768)Peak memory usage: 97 MB
% 6.55/1.64 % (2407768)Instructions burned: 1187 (million)
% 6.55/1.64 % (2407793)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=3338848244:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 6.55/1.64 % (2407793)Instruction limit reached!
% 6.55/1.64 % (2407793)------------------------------
% 6.55/1.64 % (2407793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/1.64 % (2407793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/1.64 % (2407793)CaDiCaL version: 2.1.3
% 6.55/1.64 % (2407793)Termination reason: Instruction limit
% 6.55/1.64 % (2407793)Termination phase: Saturation
% 6.55/1.64 % (2407793)Time elapsed: 0.082 s
% 6.55/1.64 % (2407793)Peak memory usage: 89 MB
% 6.55/1.64 % (2407793)Instructions burned: 217 (million)
% 6.55/1.64 % (2407800)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=3972247296:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2994 on theBenchmark for (2994ds/317Mi)
% 6.55/1.64 % (2407804)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=1042425943:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2993 on theBenchmark for (2993ds/12125Mi)
% 6.55/1.64 % (2407800)First to succeed.
% 6.55/1.64 % (2407800)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2407744"
% 6.55/1.64 % (2407800)Refutation found. Thanks to Tanya!
% 6.55/1.64 % SZS status Unsatisfiable for theBenchmark
% 6.55/1.64 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/1.81 % (2407800)------------------------------
% 0.07/1.81 % (2407800)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.07/1.81 % (2407800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/1.81 % (2407800)CaDiCaL version: 2.1.3
% 0.07/1.81 % (2407800)Termination reason: Refutation
% 0.07/1.81 % (2407800)Time elapsed: 0.110 s
% 0.07/1.81 % (2407800)Peak memory usage: 93 MB
% 0.07/1.81 % (2407800)Instructions burned: 186 (million)
% 0.07/1.81 % (2407800)------------------------------
% 0.07/1.81 % (2407800)------------------------------
% 0.07/1.81 % (2407744)Success in time 1.079 s
% 0.07/1.81 % Vampire exiting
%------------------------------------------------------------------------------