%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG199+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 09:19:06 AM UTC 2026
% Result : Theorem 0.64s 0.99s
% Output : Refutation 2.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 15
% Syntax : Number of formulae : 95 ( 50 unt; 13 def)
% Number of atoms : 246 ( 144 equ)
% Maximal formula atoms : 21 ( 2 avg)
% Number of connectives : 254 ( 103 ~; 115 |; 29 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 15 ( 13 usr; 8 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
( e0 = op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),op(e5,op(e5,e5)))
& e1 = op(e5,e5)
& e2 = op(op(e5,op(e5,e5)),op(e5,op(e5,e5)))
& e3 = op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),e5)
& e4 = op(e5,op(e5,e5))
& e6 = op(op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),e5),op(e5,op(e5,e5))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f7,conjecture,
~ ( op(e0,e0) != e0
& op(e1,e1) != e1
& op(e2,e2) != e2
& op(e3,e3) != e3
& op(e4,e4) != e4
& op(e5,e5) != e5
& op(e6,e6) != e6
& ( op(e0,e0) = e0
| op(e1,e1) = e1
| op(e2,e2) = e2
| op(e3,e3) = e3
| op(e4,e4) = e4
| op(e5,e5) = e5
| op(e6,e6) = e6 )
& ( op(e0,e0) != e0
| op(e1,e1) != e1
| op(e2,e2) != e2
| op(e3,e3) != e3
| op(e4,e4) != e4
| op(e5,e5) != e5
| op(e6,e6) != e6 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f8,negated_conjecture,
~ ~ ( op(e0,e0) != e0
& op(e1,e1) != e1
& op(e2,e2) != e2
& op(e3,e3) != e3
& op(e4,e4) != e4
& op(e5,e5) != e5
& op(e6,e6) != e6
& ( op(e0,e0) = e0
| op(e1,e1) = e1
| op(e2,e2) = e2
| op(e3,e3) = e3
| op(e4,e4) = e4
| op(e5,e5) = e5
| op(e6,e6) = e6 )
& ( op(e0,e0) != e0
| op(e1,e1) != e1
| op(e2,e2) != e2
| op(e3,e3) != e3
| op(e4,e4) != e4
| op(e5,e5) != e5
| op(e6,e6) != e6 ) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f9,plain,
( op(e0,e0) != e0
& op(e1,e1) != e1
& op(e2,e2) != e2
& op(e3,e3) != e3
& op(e4,e4) != e4
& op(e5,e5) != e5
& op(e6,e6) != e6
& ( op(e0,e0) = e0
| op(e1,e1) = e1
| op(e2,e2) = e2
| op(e3,e3) = e3
| op(e4,e4) = e4
| op(e5,e5) = e5
| op(e6,e6) = e6 )
& ( op(e0,e0) != e0
| op(e1,e1) != e1
| op(e2,e2) != e2
| op(e3,e3) != e3
| op(e4,e4) != e4
| op(e5,e5) != e5
| op(e6,e6) != e6 ) ),
inference(flattening,[],[f8]) ).
fof(f11,plain,
( e0 = op(e0,e0)
| e1 = op(e1,e1)
| e2 = op(e2,e2)
| e3 = op(e3,e3)
| e4 = op(e4,e4)
| e5 = op(e5,e5)
| e6 = op(e6,e6) ),
inference(cnf_transformation,[],[f9]) ).
fof(f12,plain,
e6 != op(e6,e6),
inference(cnf_transformation,[],[f9]) ).
fof(f13,plain,
e5 != op(e5,e5),
inference(cnf_transformation,[],[f9]) ).
fof(f15,plain,
e3 != op(e3,e3),
inference(cnf_transformation,[],[f9]) ).
fof(f16,plain,
e2 != op(e2,e2),
inference(cnf_transformation,[],[f9]) ).
fof(f17,plain,
e1 != op(e1,e1),
inference(cnf_transformation,[],[f9]) ).
fof(f18,plain,
e0 != op(e0,e0),
inference(cnf_transformation,[],[f9]) ).
fof(f40,plain,
e6 = op(op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),e5),op(e5,op(e5,e5))),
inference(cnf_transformation,[],[f6]) ).
fof(f41,plain,
e4 = op(e5,op(e5,e5)),
inference(cnf_transformation,[],[f6]) ).
fof(f42,plain,
e3 = op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),e5),
inference(cnf_transformation,[],[f6]) ).
fof(f43,plain,
e2 = op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),
inference(cnf_transformation,[],[f6]) ).
fof(f44,plain,
e1 = op(e5,e5),
inference(cnf_transformation,[],[f6]) ).
fof(f45,plain,
e0 = op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),op(e5,op(e5,e5))),
inference(cnf_transformation,[],[f6]) ).
fof(f536,definition,
~ sP0(e0),
introduced(definition,[new_symbols(definition,[sP0])],[inequality_splitting_name_introduction]) ).
fof(f537,plain,
sP0(op(e0,e0)),
inference(inequality_splitting,[],[f18,f536]) ).
fof(f538,definition,
~ sP1(e1),
introduced(definition,[new_symbols(definition,[sP1])],[inequality_splitting_name_introduction]) ).
fof(f539,plain,
sP1(op(e1,e1)),
inference(inequality_splitting,[],[f17,f538]) ).
fof(f540,definition,
~ sP2(e2),
introduced(definition,[new_symbols(definition,[sP2])],[inequality_splitting_name_introduction]) ).
fof(f541,plain,
sP2(op(e2,e2)),
inference(inequality_splitting,[],[f16,f540]) ).
fof(f542,definition,
~ sP3(e3),
introduced(definition,[new_symbols(definition,[sP3])],[inequality_splitting_name_introduction]) ).
fof(f543,plain,
sP3(op(e3,e3)),
inference(inequality_splitting,[],[f15,f542]) ).
fof(f546,definition,
~ sP5(e5),
introduced(definition,[new_symbols(definition,[sP5])],[inequality_splitting_name_introduction]) ).
fof(f547,plain,
sP5(op(e5,e5)),
inference(inequality_splitting,[],[f13,f546]) ).
fof(f548,definition,
~ sP6(e6),
introduced(definition,[new_symbols(definition,[sP6])],[inequality_splitting_name_introduction]) ).
fof(f549,plain,
sP6(op(e6,e6)),
inference(inequality_splitting,[],[f12,f548]) ).
fof(f1188,plain,
~ sP0(op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),op(e5,op(e5,e5)))),
inference(forward_demodulation,[],[f536,f45]) ).
fof(f1189,plain,
~ sP1(op(e5,e5)),
inference(forward_demodulation,[],[f538,f44]) ).
fof(f1190,plain,
~ sP2(op(op(e5,op(e5,e5)),op(e5,op(e5,e5)))),
inference(forward_demodulation,[],[f540,f43]) ).
fof(f1191,plain,
~ sP3(op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),e5)),
inference(forward_demodulation,[],[f542,f42]) ).
fof(f1193,plain,
~ sP6(op(op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),e5),op(e5,op(e5,e5)))),
inference(forward_demodulation,[],[f548,f40]) ).
fof(f1201,plain,
( op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),op(e5,op(e5,e5))) = op(op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),op(e5,op(e5,e5))),op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),op(e5,op(e5,e5))))
| e1 = op(e1,e1)
| e2 = op(e2,e2)
| e3 = op(e3,e3)
| e4 = op(e4,e4)
| e5 = op(e5,e5)
| e6 = op(e6,e6) ),
inference(forward_demodulation,[],[f11,f45]) ).
fof(f1202,plain,
sP6(op(op(op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),e5),op(e5,op(e5,e5))),op(op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),e5),op(e5,op(e5,e5))))),
inference(forward_demodulation,[],[f549,f40]) ).
fof(f1204,plain,
sP3(op(op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),e5),op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),e5))),
inference(forward_demodulation,[],[f543,f42]) ).
fof(f1205,plain,
sP2(op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),op(op(e5,op(e5,e5)),op(e5,op(e5,e5))))),
inference(forward_demodulation,[],[f541,f43]) ).
fof(f1206,plain,
sP1(op(op(e5,e5),op(e5,e5))),
inference(forward_demodulation,[],[f539,f44]) ).
fof(f1207,plain,
sP0(op(op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),op(e5,op(e5,e5))),op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),op(e5,op(e5,e5))))),
inference(forward_demodulation,[],[f537,f45]) ).
fof(f1209,plain,
( op(e5,e5) = op(op(e5,e5),op(e5,e5))
| op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),op(e5,op(e5,e5))) = op(op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),op(e5,op(e5,e5))),op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),op(e5,op(e5,e5))))
| e2 = op(e2,e2)
| e3 = op(e3,e3)
| e4 = op(e4,e4)
| e5 = op(e5,e5)
| e6 = op(e6,e6) ),
inference(forward_demodulation,[],[f1201,f44]) ).
fof(f1211,plain,
( op(op(e5,op(e5,e5)),op(e5,op(e5,e5))) = op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),op(op(e5,op(e5,e5)),op(e5,op(e5,e5))))
| op(e5,e5) = op(op(e5,e5),op(e5,e5))
| op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),op(e5,op(e5,e5))) = op(op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),op(e5,op(e5,e5))),op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),op(e5,op(e5,e5))))
| e3 = op(e3,e3)
| e4 = op(e4,e4)
| e5 = op(e5,e5)
| e6 = op(e6,e6) ),
inference(forward_demodulation,[],[f1209,f43]) ).
fof(f1213,plain,
( op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),e5) = op(op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),e5),op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),e5))
| op(op(e5,op(e5,e5)),op(e5,op(e5,e5))) = op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),op(op(e5,op(e5,e5)),op(e5,op(e5,e5))))
| op(e5,e5) = op(op(e5,e5),op(e5,e5))
| op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),op(e5,op(e5,e5))) = op(op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),op(e5,op(e5,e5))),op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),op(e5,op(e5,e5))))
| e4 = op(e4,e4)
| e5 = op(e5,e5)
| e6 = op(e6,e6) ),
inference(forward_demodulation,[],[f1211,f42]) ).
fof(f1215,plain,
( op(e5,op(e5,e5)) = op(op(e5,op(e5,e5)),op(e5,op(e5,e5)))
| op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),e5) = op(op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),e5),op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),e5))
| op(op(e5,op(e5,e5)),op(e5,op(e5,e5))) = op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),op(op(e5,op(e5,e5)),op(e5,op(e5,e5))))
| op(e5,e5) = op(op(e5,e5),op(e5,e5))
| op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),op(e5,op(e5,e5))) = op(op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),op(e5,op(e5,e5))),op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),op(e5,op(e5,e5))))
| e5 = op(e5,e5)
| e6 = op(e6,e6) ),
inference(forward_demodulation,[],[f1213,f41]) ).
fof(f1217,plain,
( op(op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),e5),op(e5,op(e5,e5))) = op(op(op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),e5),op(e5,op(e5,e5))),op(op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),e5),op(e5,op(e5,e5))))
| op(e5,op(e5,e5)) = op(op(e5,op(e5,e5)),op(e5,op(e5,e5)))
| op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),e5) = op(op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),e5),op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),e5))
| op(op(e5,op(e5,e5)),op(e5,op(e5,e5))) = op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),op(op(e5,op(e5,e5)),op(e5,op(e5,e5))))
| op(e5,e5) = op(op(e5,e5),op(e5,e5))
| op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),op(e5,op(e5,e5))) = op(op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),op(e5,op(e5,e5))),op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),op(e5,op(e5,e5))))
| e5 = op(e5,e5) ),
inference(forward_demodulation,[],[f1215,f40]) ).
fof(f1248,definition,
( spl329_8
<=> e5 = op(e5,e5) ),
introduced(definition,[new_symbols(definition,[spl329_8])],[avatar_definition]) ).
fof(f1250,plain,
( e5 = op(e5,e5)
| ~ spl329_8 ),
inference(avatar_component_clause,[],[f1248]) ).
fof(f1252,definition,
( spl329_9
<=> op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),op(e5,op(e5,e5))) = op(op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),op(e5,op(e5,e5))),op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),op(e5,op(e5,e5)))) ),
introduced(definition,[new_symbols(definition,[spl329_9])],[avatar_definition]) ).
fof(f1254,plain,
( op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),op(e5,op(e5,e5))) = op(op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),op(e5,op(e5,e5))),op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),op(e5,op(e5,e5))))
| ~ spl329_9 ),
inference(avatar_component_clause,[],[f1252]) ).
fof(f1256,definition,
( spl329_10
<=> op(e5,e5) = op(op(e5,e5),op(e5,e5)) ),
introduced(definition,[new_symbols(definition,[spl329_10])],[avatar_definition]) ).
fof(f1258,plain,
( op(e5,e5) = op(op(e5,e5),op(e5,e5))
| ~ spl329_10 ),
inference(avatar_component_clause,[],[f1256]) ).
fof(f1260,definition,
( spl329_11
<=> op(op(e5,op(e5,e5)),op(e5,op(e5,e5))) = op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),op(op(e5,op(e5,e5)),op(e5,op(e5,e5)))) ),
introduced(definition,[new_symbols(definition,[spl329_11])],[avatar_definition]) ).
fof(f1262,plain,
( op(op(e5,op(e5,e5)),op(e5,op(e5,e5))) = op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),op(op(e5,op(e5,e5)),op(e5,op(e5,e5))))
| ~ spl329_11 ),
inference(avatar_component_clause,[],[f1260]) ).
fof(f1264,definition,
( spl329_12
<=> op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),e5) = op(op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),e5),op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),e5)) ),
introduced(definition,[new_symbols(definition,[spl329_12])],[avatar_definition]) ).
fof(f1266,plain,
( op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),e5) = op(op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),e5),op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),e5))
| ~ spl329_12 ),
inference(avatar_component_clause,[],[f1264]) ).
fof(f1268,definition,
( spl329_13
<=> op(e5,op(e5,e5)) = op(op(e5,op(e5,e5)),op(e5,op(e5,e5))) ),
introduced(definition,[new_symbols(definition,[spl329_13])],[avatar_definition]) ).
fof(f1270,plain,
( op(e5,op(e5,e5)) = op(op(e5,op(e5,e5)),op(e5,op(e5,e5)))
| ~ spl329_13 ),
inference(avatar_component_clause,[],[f1268]) ).
fof(f1272,definition,
( spl329_14
<=> op(op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),e5),op(e5,op(e5,e5))) = op(op(op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),e5),op(e5,op(e5,e5))),op(op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),e5),op(e5,op(e5,e5)))) ),
introduced(definition,[new_symbols(definition,[spl329_14])],[avatar_definition]) ).
fof(f1274,plain,
( op(op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),e5),op(e5,op(e5,e5))) = op(op(op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),e5),op(e5,op(e5,e5))),op(op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),e5),op(e5,op(e5,e5))))
| ~ spl329_14 ),
inference(avatar_component_clause,[],[f1272]) ).
fof(f1275,plain,
( spl329_8
| spl329_9
| spl329_10
| spl329_11
| spl329_12
| spl329_13
| spl329_14 ),
inference(avatar_split_clause,[],[f1217,f1272,f1268,f1264,f1260,f1256,f1252,f1248]) ).
fof(f1277,plain,
( sP5(e5)
| ~ spl329_8 ),
inference(superposition,[],[f547,f1250]) ).
fof(f1292,plain,
( $false
| ~ spl329_8 ),
inference(forward_subsumption_resolution,[],[f1277,f546]) ).
fof(f1293,plain,
~ spl329_8,
inference(avatar_contradiction_clause,[],[f1292]) ).
fof(f1296,plain,
( sP0(op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),op(e5,op(e5,e5))))
| ~ spl329_9 ),
inference(superposition,[],[f1207,f1254]) ).
fof(f1297,plain,
( $false
| ~ spl329_9 ),
inference(forward_subsumption_resolution,[],[f1296,f1188]) ).
fof(f1298,plain,
~ spl329_9,
inference(avatar_contradiction_clause,[],[f1297]) ).
fof(f1301,plain,
( sP1(op(e5,e5))
| ~ spl329_10 ),
inference(superposition,[],[f1206,f1258]) ).
fof(f1302,plain,
( $false
| ~ spl329_10 ),
inference(forward_subsumption_resolution,[],[f1301,f1189]) ).
fof(f1303,plain,
~ spl329_10,
inference(avatar_contradiction_clause,[],[f1302]) ).
fof(f1304,plain,
( sP2(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))))
| ~ spl329_11 ),
inference(superposition,[],[f1205,f1262]) ).
fof(f1305,plain,
( $false
| ~ spl329_11 ),
inference(forward_subsumption_resolution,[],[f1304,f1190]) ).
fof(f1306,plain,
~ spl329_11,
inference(avatar_contradiction_clause,[],[f1305]) ).
fof(f1307,plain,
( sP3(op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),e5))
| ~ spl329_12 ),
inference(superposition,[],[f1204,f1266]) ).
fof(f1308,plain,
( $false
| ~ spl329_12 ),
inference(forward_subsumption_resolution,[],[f1307,f1191]) ).
fof(f1309,plain,
~ spl329_12,
inference(avatar_contradiction_clause,[],[f1308]) ).
fof(f1310,plain,
( ~ sP0(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))))
| ~ spl329_13 ),
inference(superposition,[],[f1188,f1270]) ).
fof(f1322,plain,
( sP0(op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),op(op(e5,op(e5,e5)),op(e5,op(e5,e5)))))
| ~ spl329_13 ),
inference(superposition,[],[f1207,f1270]) ).
fof(f1328,plain,
( sP0(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))))
| ~ spl329_13 ),
inference(forward_demodulation,[],[f1322,f1270]) ).
fof(f1334,plain,
( ~ sP0(op(e5,op(e5,e5)))
| ~ spl329_13 ),
inference(forward_demodulation,[],[f1310,f1270]) ).
fof(f1336,plain,
( sP0(op(e5,op(e5,e5)))
| ~ spl329_13 ),
inference(forward_demodulation,[],[f1328,f1270]) ).
fof(f1339,plain,
( $false
| ~ spl329_13 ),
inference(forward_subsumption_resolution,[],[f1336,f1334]) ).
fof(f1340,plain,
~ spl329_13,
inference(avatar_contradiction_clause,[],[f1339]) ).
fof(f1341,plain,
( sP6(op(op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),e5),op(e5,op(e5,e5))))
| ~ spl329_14 ),
inference(superposition,[],[f1202,f1274]) ).
fof(f1342,plain,
( $false
| ~ spl329_14 ),
inference(forward_subsumption_resolution,[],[f1341,f1193]) ).
fof(f1343,plain,
~ spl329_14,
inference(avatar_contradiction_clause,[],[f1342]) ).
cnf(s2,plain,
( spl329_8
| spl329_9
| spl329_10
| spl329_11
| spl329_12
| spl329_13
| spl329_14 ),
inference(sat_conversion,[],[f1275]) ).
cnf(s3,plain,
~ spl329_8,
inference(sat_conversion,[],[f1293]) ).
cnf(s4,plain,
~ spl329_9,
inference(sat_conversion,[],[f1298]) ).
cnf(s6,plain,
~ spl329_10,
inference(sat_conversion,[],[f1303]) ).
cnf(s7,plain,
~ spl329_11,
inference(sat_conversion,[],[f1306]) ).
cnf(s8,plain,
~ spl329_12,
inference(sat_conversion,[],[f1309]) ).
cnf(s13,plain,
~ spl329_13,
inference(sat_conversion,[],[f1340]) ).
cnf(s14,plain,
~ spl329_14,
inference(sat_conversion,[],[f1343]) ).
cnf(s15,plain,
$false,
inference(rat,[],[s2,s14,s13,s8,s7,s6,s4,s3]) ).
fof(f1344,plain,
$false,
inference(avatar_sat_refutation,[],[s15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG199+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n003.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 19:43:27 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.21 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
% 0.64/0.99 % (1903760)Detected formulas, will run a generic FOF schedule.
% 0.64/0.99 % (1903768)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=487442680:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.64/0.99 % (1903768)First to succeed.
% 0.64/0.99 % (1903768)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1903760"
% 0.64/0.99 % (1903769)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3258316395:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.64/0.99 % (1903770)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2869047932:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.64/0.99 % (1903765)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1342142527:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.64/0.99 % (1903771)dis-21_1_sil=8000:lcm=predicate:random_seed=1276529149:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 0.64/0.99 % (1903766)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1683540803:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.64/0.99 % (1903767)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=4119080333:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.64/0.99 % (1903769)Also succeeded, but the first one will report.
% 0.64/0.99 % (1903771)Also succeeded, but the first one will report.
% 0.64/0.99 % (1903770)Also succeeded, but the first one will report.
% 0.64/0.99 % (1903768)Refutation found. Thanks to Tanya!
% 0.64/0.99 % SZS status Theorem for theBenchmark
% 0.64/0.99 % SZS output start Proof for theBenchmark
% See solution above
% 2.88/1.19 % (1903768)------------------------------
% 2.88/1.19 % (1903768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.88/1.19 % (1903768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.88/1.19 % (1903768)CaDiCaL version: 2.1.3
% 2.88/1.19 % (1903768)Termination reason: Refutation
% 2.88/1.19 % (1903768)Time elapsed: 0.014 s
% 2.88/1.19 % (1903768)Peak memory usage: 90 MB
% 2.88/1.19 % (1903768)Instructions burned: 50 (million)
% 2.88/1.19 % (1903768)------------------------------
% 2.88/1.19 % (1903768)------------------------------
% 2.88/1.19 % (1903760)Success in time 0.335 s
% 2.88/1.19 % Vampire exiting
%------------------------------------------------------------------------------