%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET943+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 12:42:23 PM UTC 2026
% Result : Theorem 0.78s 0.82s
% Output : Refutation 2.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 12
% Syntax : Number of formulae : 97 ( 12 unt; 9 def)
% Number of atoms : 316 ( 31 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 378 ( 159 ~; 170 |; 36 &)
% ( 13 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 12 ( 10 usr; 9 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-3 aty)
% Number of variables : 116 ( 0 sgn 104 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1,X2] :
( X2 = set_union2(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X0)
| in(X3,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_xboole_0) ).
fof(f6,axiom,
! [X0,X1] :
( X1 = union(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X2,X3)
& in(X3,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_tarski) ).
fof(f16,conjecture,
! [X0,X1] : union(set_union2(X0,X1)) = set_union2(union(X0),union(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t96_zfmisc_1) ).
fof(f17,negated_conjecture,
~ ! [X0,X1] : union(set_union2(X0,X1)) = set_union2(union(X0),union(X1)),
inference(negated_conjecture,[status(cth)],[f16]) ).
fof(f27,plain,
? [X0,X1] : union(set_union2(X0,X1)) != set_union2(union(X0),union(X1)),
inference(ennf_transformation,[],[f17]) ).
fof(f30,plain,
! [X0,X1,X2] :
( ( X2 = set_union2(X0,X1)
| ? [X3] :
( ( ( ~ in(X3,X0)
& ~ in(X3,X1) )
| ~ in(X3,X2) )
& ( in(X3,X0)
| in(X3,X1)
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ( ~ in(X3,X0)
& ~ in(X3,X1) ) )
& ( in(X3,X0)
| in(X3,X1)
| ~ in(X3,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f31,plain,
! [X0,X1,X2] :
( ( X2 = set_union2(X0,X1)
| ? [X3] :
( ( ( ~ in(X3,X0)
& ~ in(X3,X1) )
| ~ in(X3,X2) )
& ( in(X3,X0)
| in(X3,X1)
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ( ~ in(X3,X0)
& ~ in(X3,X1) ) )
& ( in(X3,X0)
| in(X3,X1)
| ~ in(X3,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(flattening,[],[f30]) ).
fof(f32,plain,
! [X0,X1,X2] :
( ( X2 = set_union2(X0,X1)
| ? [X3] :
( ( ( ~ in(X3,X0)
& ~ in(X3,X1) )
| ~ in(X3,X2) )
& ( in(X3,X0)
| in(X3,X1)
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ( ~ in(X4,X0)
& ~ in(X4,X1) ) )
& ( in(X4,X0)
| in(X4,X1)
| ~ in(X4,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(rectify,[],[f31]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ( X2 = set_union2(X0,X1)
| ( ( ( ~ in(sK0(X0,X1,X2),X0)
& ~ in(sK0(X0,X1,X2),X1) )
| ~ in(sK0(X0,X1,X2),X2) )
& ( in(sK0(X0,X1,X2),X0)
| in(sK0(X0,X1,X2),X1)
| in(sK0(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ( ~ in(X4,X0)
& ~ in(X4,X1) ) )
& ( in(X4,X0)
| in(X4,X1)
| ~ in(X4,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1,X2))],[f32]) ).
fof(f37,plain,
! [X0,X1] :
( ( X1 = union(X0)
| ? [X2] :
( ( ! [X3] :
( ~ in(X2,X3)
| ~ in(X3,X0) )
| ~ in(X2,X1) )
& ( ? [X3] :
( in(X2,X3)
& in(X3,X0) )
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] :
( ~ in(X2,X3)
| ~ in(X3,X0) ) )
& ( ? [X3] :
( in(X2,X3)
& in(X3,X0) )
| ~ in(X2,X1) ) )
| union(X0) != X1 ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f38,plain,
! [X0,X1] :
( ( X1 = union(X0)
| ? [X2] :
( ( ! [X3] :
( ~ in(X2,X3)
| ~ in(X3,X0) )
| ~ in(X2,X1) )
& ( ? [X4] :
( in(X2,X4)
& in(X4,X0) )
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( ~ in(X5,X6)
| ~ in(X6,X0) ) )
& ( ? [X7] :
( in(X5,X7)
& in(X7,X0) )
| ~ in(X5,X1) ) )
| union(X0) != X1 ) ),
inference(rectify,[],[f37]) ).
fof(f39,plain,
! [X0,X1] :
( ( X1 = union(X0)
| ( ( ! [X3] :
( ~ in(sK2(X0,X1),X3)
| ~ in(X3,X0) )
| ~ in(sK2(X0,X1),X1) )
& ( ( in(sK2(X0,X1),sK3(X0,X1))
& in(sK3(X0,X1),X0) )
| in(sK2(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( ~ in(X5,X6)
| ~ in(X6,X0) ) )
& ( ( in(X5,sK4(X0,X5))
& in(sK4(X0,X5),X0) )
| ~ in(X5,X1) ) )
| union(X0) != X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X2,sK2(X0,X1)),skolemize(X4,sK3(X0,X1)),skolemize(X7,sK4(X0,X5))],[f38]) ).
fof(f42,plain,
union(set_union2(sK7,sK8)) != set_union2(union(sK7),union(sK8)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8]),skolemize(X0,sK7),skolemize(X1,sK8)],[f27]) ).
fof(f48,plain,
! [X2,X0,X1,X4] :
( in(X4,X0)
| in(X4,X1)
| ~ in(X4,X2)
| set_union2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f33]) ).
fof(f49,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X1)
| set_union2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f33]) ).
fof(f50,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X0)
| set_union2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f33]) ).
fof(f57,plain,
! [X0,X1,X5] :
( in(sK4(X0,X5),X0)
| ~ in(X5,X1)
| union(X0) != X1 ),
inference(cnf_transformation,[],[f39]) ).
fof(f58,plain,
! [X0,X1,X5] :
( in(X5,sK4(X0,X5))
| ~ in(X5,X1)
| union(X0) != X1 ),
inference(cnf_transformation,[],[f39]) ).
fof(f59,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(X5,X6)
| ~ in(X6,X0)
| union(X0) != X1 ),
inference(cnf_transformation,[],[f39]) ).
fof(f60,plain,
! [X0,X1] :
( union(X0) = X1
| in(sK3(X0,X1),X0)
| in(sK2(X0,X1),X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f61,plain,
! [X0,X1] :
( union(X0) = X1
| in(sK2(X0,X1),sK3(X0,X1))
| in(sK2(X0,X1),X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f62,plain,
! [X3,X0,X1] :
( union(X0) = X1
| ~ in(sK2(X0,X1),X3)
| ~ in(X3,X0)
| ~ in(sK2(X0,X1),X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f72,plain,
union(set_union2(sK7,sK8)) != set_union2(union(sK7),union(sK8)),
inference(cnf_transformation,[],[f42]) ).
fof(f75,plain,
! [X0,X1,X4] :
( in(X4,set_union2(X0,X1))
| ~ in(X4,X0) ),
inference(equality_resolution,[],[f50]) ).
fof(f76,plain,
! [X0,X1,X4] :
( in(X4,set_union2(X0,X1))
| ~ in(X4,X1) ),
inference(equality_resolution,[],[f49]) ).
fof(f77,plain,
! [X0,X1,X4] :
( ~ in(X4,set_union2(X0,X1))
| in(X4,X1)
| in(X4,X0) ),
inference(equality_resolution,[],[f48]) ).
fof(f78,plain,
! [X0,X6,X5] :
( in(X5,union(X0))
| ~ in(X5,X6)
| ~ in(X6,X0) ),
inference(equality_resolution,[],[f59]) ).
fof(f79,plain,
! [X0,X5] :
( in(X5,sK4(X0,X5))
| ~ in(X5,union(X0)) ),
inference(equality_resolution,[],[f58]) ).
fof(f80,plain,
! [X0,X5] :
( in(sK4(X0,X5),X0)
| ~ in(X5,union(X0)) ),
inference(equality_resolution,[],[f57]) ).
fof(f81,definition,
! [X0,X1] :
( sQ9_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(definition,[new_symbols(definition,[sQ9_eqProxy])],[equality_proxy_definition]) ).
fof(f87,plain,
! [X3,X0,X1] :
( sQ9_eqProxy(union(X0),X1)
| ~ in(sK2(X0,X1),X3)
| ~ in(X3,X0)
| ~ in(sK2(X0,X1),X1) ),
inference(equality_proxy_replacement,[],[f62,f81]) ).
fof(f88,plain,
! [X0,X1] :
( sQ9_eqProxy(union(X0),X1)
| in(sK2(X0,X1),sK3(X0,X1))
| in(sK2(X0,X1),X1) ),
inference(equality_proxy_replacement,[],[f61,f81]) ).
fof(f89,plain,
! [X0,X1] :
( sQ9_eqProxy(union(X0),X1)
| in(sK3(X0,X1),X0)
| in(sK2(X0,X1),X1) ),
inference(equality_proxy_replacement,[],[f60,f81]) ).
fof(f91,plain,
~ sQ9_eqProxy(union(set_union2(sK7,sK8)),set_union2(union(sK7),union(sK8))),
inference(equality_proxy_replacement,[],[f72,f81]) ).
fof(f587,plain,
( in(sK3(set_union2(sK7,sK8),set_union2(union(sK7),union(sK8))),set_union2(sK7,sK8))
| in(sK2(set_union2(sK7,sK8),set_union2(union(sK7),union(sK8))),set_union2(union(sK7),union(sK8))) ),
inference(resolution,[],[f89,f91]) ).
fof(f589,definition,
( spl10_3
<=> in(sK2(set_union2(sK7,sK8),set_union2(union(sK7),union(sK8))),set_union2(union(sK7),union(sK8))) ),
introduced(definition,[new_symbols(definition,[spl10_3])],[avatar_definition]) ).
fof(f590,plain,
( in(sK2(set_union2(sK7,sK8),set_union2(union(sK7),union(sK8))),set_union2(union(sK7),union(sK8)))
| ~ spl10_3 ),
inference(avatar_component_clause,[],[f589]) ).
fof(f592,definition,
( spl10_4
<=> in(sK3(set_union2(sK7,sK8),set_union2(union(sK7),union(sK8))),set_union2(sK7,sK8)) ),
introduced(definition,[new_symbols(definition,[spl10_4])],[avatar_definition]) ).
fof(f593,plain,
( in(sK3(set_union2(sK7,sK8),set_union2(union(sK7),union(sK8))),set_union2(sK7,sK8))
| ~ spl10_4 ),
inference(avatar_component_clause,[],[f592]) ).
fof(f594,plain,
( spl10_3
| spl10_4 ),
inference(avatar_split_clause,[],[f587,f592,f589]) ).
fof(f619,definition,
( spl10_9
<=> in(sK2(set_union2(sK7,sK8),set_union2(union(sK7),union(sK8))),union(sK7)) ),
introduced(definition,[new_symbols(definition,[spl10_9])],[avatar_definition]) ).
fof(f620,plain,
( in(sK2(set_union2(sK7,sK8),set_union2(union(sK7),union(sK8))),union(sK7))
| ~ spl10_9 ),
inference(avatar_component_clause,[],[f619]) ).
fof(f622,definition,
( spl10_10
<=> in(sK2(set_union2(sK7,sK8),set_union2(union(sK7),union(sK8))),union(sK8)) ),
introduced(definition,[new_symbols(definition,[spl10_10])],[avatar_definition]) ).
fof(f623,plain,
( in(sK2(set_union2(sK7,sK8),set_union2(union(sK7),union(sK8))),union(sK8))
| ~ spl10_10 ),
inference(avatar_component_clause,[],[f622]) ).
fof(f642,definition,
( spl10_14
<=> in(sK3(set_union2(sK7,sK8),set_union2(union(sK7),union(sK8))),sK7) ),
introduced(definition,[new_symbols(definition,[spl10_14])],[avatar_definition]) ).
fof(f643,plain,
( in(sK3(set_union2(sK7,sK8),set_union2(union(sK7),union(sK8))),sK7)
| ~ spl10_14 ),
inference(avatar_component_clause,[],[f642]) ).
fof(f645,definition,
( spl10_15
<=> in(sK3(set_union2(sK7,sK8),set_union2(union(sK7),union(sK8))),sK8) ),
introduced(definition,[new_symbols(definition,[spl10_15])],[avatar_definition]) ).
fof(f646,plain,
( in(sK3(set_union2(sK7,sK8),set_union2(union(sK7),union(sK8))),sK8)
| ~ spl10_15 ),
inference(avatar_component_clause,[],[f645]) ).
fof(f716,plain,
( in(sK2(set_union2(sK7,sK8),set_union2(union(sK7),union(sK8))),sK3(set_union2(sK7,sK8),set_union2(union(sK7),union(sK8))))
| in(sK2(set_union2(sK7,sK8),set_union2(union(sK7),union(sK8))),set_union2(union(sK7),union(sK8))) ),
inference(resolution,[],[f88,f91]) ).
fof(f1317,plain,
! [X0] :
( ~ in(sK2(set_union2(sK7,sK8),set_union2(union(sK7),union(sK8))),X0)
| ~ in(X0,set_union2(sK7,sK8))
| ~ in(sK2(set_union2(sK7,sK8),set_union2(union(sK7),union(sK8))),set_union2(union(sK7),union(sK8))) ),
inference(resolution,[],[f87,f91]) ).
fof(f1318,plain,
( ~ in(sK2(set_union2(sK7,sK8),set_union2(union(sK7),union(sK8))),set_union2(union(sK7),union(sK8)))
| spl10_3 ),
inference(avatar_component_clause,[],[f589]) ).
fof(f1320,definition,
( spl10_24
<=> ! [X0] :
( ~ in(sK2(set_union2(sK7,sK8),set_union2(union(sK7),union(sK8))),X0)
| ~ in(X0,set_union2(sK7,sK8)) ) ),
introduced(definition,[new_symbols(definition,[spl10_24])],[avatar_definition]) ).
fof(f1321,plain,
( ! [X0] :
( ~ in(sK2(set_union2(sK7,sK8),set_union2(union(sK7),union(sK8))),X0)
| ~ in(X0,set_union2(sK7,sK8)) )
| ~ spl10_24 ),
inference(avatar_component_clause,[],[f1320]) ).
fof(f1322,plain,
( ~ spl10_3
| spl10_24 ),
inference(avatar_split_clause,[],[f1317,f1320,f589]) ).
fof(f1324,definition,
( spl10_25
<=> in(sK2(set_union2(sK7,sK8),set_union2(union(sK7),union(sK8))),sK3(set_union2(sK7,sK8),set_union2(union(sK7),union(sK8)))) ),
introduced(definition,[new_symbols(definition,[spl10_25])],[avatar_definition]) ).
fof(f1325,plain,
( in(sK2(set_union2(sK7,sK8),set_union2(union(sK7),union(sK8))),sK3(set_union2(sK7,sK8),set_union2(union(sK7),union(sK8))))
| ~ spl10_25 ),
inference(avatar_component_clause,[],[f1324]) ).
fof(f1326,plain,
( spl10_3
| spl10_25 ),
inference(avatar_split_clause,[],[f716,f1324,f589]) ).
fof(f1327,plain,
( in(sK3(set_union2(sK7,sK8),set_union2(union(sK7),union(sK8))),sK8)
| in(sK3(set_union2(sK7,sK8),set_union2(union(sK7),union(sK8))),sK7)
| ~ spl10_4 ),
inference(resolution,[],[f593,f77]) ).
fof(f1342,plain,
( spl10_14
| spl10_15
| ~ spl10_4 ),
inference(avatar_split_clause,[],[f1327,f592,f645,f642]) ).
fof(f1343,plain,
( in(sK2(set_union2(sK7,sK8),set_union2(union(sK7),union(sK8))),union(sK8))
| in(sK2(set_union2(sK7,sK8),set_union2(union(sK7),union(sK8))),union(sK7))
| ~ spl10_3 ),
inference(resolution,[],[f590,f77]) ).
fof(f1359,plain,
( ! [X0] :
( ~ in(sK4(X0,sK2(set_union2(sK7,sK8),set_union2(union(sK7),union(sK8)))),set_union2(sK7,sK8))
| ~ in(sK2(set_union2(sK7,sK8),set_union2(union(sK7),union(sK8))),union(X0)) )
| ~ spl10_24 ),
inference(resolution,[],[f1321,f79]) ).
fof(f1409,plain,
( ! [X0] :
( ~ in(sK4(X0,sK2(set_union2(sK7,sK8),set_union2(union(sK7),union(sK8)))),sK8)
| ~ in(sK2(set_union2(sK7,sK8),set_union2(union(sK7),union(sK8))),union(X0)) )
| ~ spl10_24 ),
inference(resolution,[],[f1359,f76]) ).
fof(f1410,plain,
( ! [X0] :
( ~ in(sK4(X0,sK2(set_union2(sK7,sK8),set_union2(union(sK7),union(sK8)))),sK7)
| ~ in(sK2(set_union2(sK7,sK8),set_union2(union(sK7),union(sK8))),union(X0)) )
| ~ spl10_24 ),
inference(resolution,[],[f1359,f75]) ).
fof(f1770,plain,
( ~ in(sK2(set_union2(sK7,sK8),set_union2(union(sK7),union(sK8))),union(sK8))
| ~ in(sK2(set_union2(sK7,sK8),set_union2(union(sK7),union(sK8))),union(sK8))
| ~ spl10_24 ),
inference(resolution,[],[f1409,f80]) ).
fof(f1771,plain,
( ~ in(sK2(set_union2(sK7,sK8),set_union2(union(sK7),union(sK8))),union(sK8))
| ~ spl10_24 ),
inference(duplicate_literal_removal,[],[f1770]) ).
fof(f1772,plain,
( ~ in(sK2(set_union2(sK7,sK8),set_union2(union(sK7),union(sK8))),union(sK7))
| ~ in(sK2(set_union2(sK7,sK8),set_union2(union(sK7),union(sK8))),union(sK7))
| ~ spl10_24 ),
inference(resolution,[],[f1410,f80]) ).
fof(f1773,plain,
( ~ in(sK2(set_union2(sK7,sK8),set_union2(union(sK7),union(sK8))),union(sK7))
| ~ spl10_24 ),
inference(duplicate_literal_removal,[],[f1772]) ).
fof(f2717,plain,
( $false
| ~ spl10_9
| ~ spl10_24 ),
inference(resolution,[],[f1773,f620]) ).
fof(f2720,plain,
( ~ spl10_9
| ~ spl10_24 ),
inference(avatar_contradiction_clause,[],[f2717]) ).
fof(f2721,plain,
( spl10_9
| spl10_10
| ~ spl10_3 ),
inference(avatar_split_clause,[],[f1343,f589,f622,f619]) ).
fof(f2722,plain,
( $false
| ~ spl10_10
| ~ spl10_24 ),
inference(resolution,[],[f623,f1771]) ).
fof(f2763,plain,
( ~ spl10_10
| ~ spl10_24 ),
inference(avatar_contradiction_clause,[],[f2722]) ).
fof(f2770,plain,
( ~ in(sK2(set_union2(sK7,sK8),set_union2(union(sK7),union(sK8))),union(sK8))
| spl10_3 ),
inference(resolution,[],[f1318,f76]) ).
fof(f2771,plain,
( ~ in(sK2(set_union2(sK7,sK8),set_union2(union(sK7),union(sK8))),union(sK7))
| spl10_3 ),
inference(resolution,[],[f1318,f75]) ).
fof(f2866,plain,
( ! [X0] :
( ~ in(sK2(set_union2(sK7,sK8),set_union2(union(sK7),union(sK8))),X0)
| ~ in(X0,sK8) )
| spl10_3 ),
inference(resolution,[],[f2770,f78]) ).
fof(f2868,plain,
( ! [X0] :
( ~ in(sK2(set_union2(sK7,sK8),set_union2(union(sK7),union(sK8))),X0)
| ~ in(X0,sK7) )
| spl10_3 ),
inference(resolution,[],[f2771,f78]) ).
fof(f2905,plain,
( ~ in(sK3(set_union2(sK7,sK8),set_union2(union(sK7),union(sK8))),sK8)
| spl10_3
| ~ spl10_25 ),
inference(resolution,[],[f2866,f1325]) ).
fof(f2912,plain,
( ~ in(sK3(set_union2(sK7,sK8),set_union2(union(sK7),union(sK8))),sK7)
| spl10_3
| ~ spl10_25 ),
inference(resolution,[],[f2868,f1325]) ).
fof(f2918,plain,
( $false
| spl10_3
| ~ spl10_14
| ~ spl10_25 ),
inference(resolution,[],[f2912,f643]) ).
fof(f2920,plain,
( spl10_3
| ~ spl10_14
| ~ spl10_25 ),
inference(avatar_contradiction_clause,[],[f2918]) ).
fof(f2921,plain,
( $false
| spl10_3
| ~ spl10_15
| ~ spl10_25 ),
inference(resolution,[],[f646,f2905]) ).
fof(f2925,plain,
( spl10_3
| ~ spl10_15
| ~ spl10_25 ),
inference(avatar_contradiction_clause,[],[f2921]) ).
cnf(s3,plain,
( spl10_3
| spl10_4 ),
inference(sat_conversion,[],[f594]) ).
cnf(s23,plain,
( ~ spl10_3
| spl10_24 ),
inference(sat_conversion,[],[f1322]) ).
cnf(s24,plain,
( spl10_3
| spl10_25 ),
inference(sat_conversion,[],[f1326]) ).
cnf(s28,plain,
( ~ spl10_4
| spl10_14
| spl10_15 ),
inference(sat_conversion,[],[f1342]) ).
cnf(s38,plain,
( ~ spl10_9
| ~ spl10_24 ),
inference(sat_conversion,[],[f2720]) ).
cnf(s39,plain,
( ~ spl10_3
| spl10_9
| spl10_10 ),
inference(sat_conversion,[],[f2721]) ).
cnf(s40,plain,
( ~ spl10_10
| ~ spl10_24 ),
inference(sat_conversion,[],[f2763]) ).
cnf(s48,plain,
( spl10_3
| ~ spl10_14
| ~ spl10_25 ),
inference(sat_conversion,[],[f2920]) ).
cnf(s49,plain,
( spl10_3
| ~ spl10_15
| ~ spl10_25 ),
inference(sat_conversion,[],[f2925]) ).
cnf(s50,plain,
spl10_3,
inference(rat,[],[s28,s48,s49,s3,s24]) ).
cnf(s51,plain,
spl10_24,
inference(rat,[],[s23,s50]) ).
cnf(s52,plain,
~ spl10_10,
inference(rat,[],[s40,s51]) ).
cnf(s53,plain,
~ spl10_9,
inference(rat,[],[s38,s51]) ).
cnf(s54,plain,
$false,
inference(rat,[],[s39,s50,s52,s53]) ).
fof(f2926,plain,
$false,
inference(avatar_sat_refutation,[],[s54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SET943+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.02 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.03/0.31 % Computer : n012.cluster.edu
% 0.03/0.31 % Model : x86_64 x86_64
% 0.03/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.31 % Memory : 8046.5625MB
% 0.03/0.31 % OS : Linux 6.8.0-71-generic
% 0.03/0.31 % CPULimit : 300
% 0.03/0.31 % WCLimit : 300
% 0.03/0.31 % DateTime : Mon Sep 28 03:15:19 UTC 2026
% 0.03/0.31 % CPUTime :
% 0.03/0.31 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.33 Running first-order theorem proving
% 0.07/0.33 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
% 0.78/0.82 % (2982070)Detected formulas, will run a generic FOF schedule.
% 0.78/0.82 % (2982075)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=3270949705:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.78/0.82 % (2982076)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=2052998105:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.78/0.82 % (2982078)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1235827078:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.78/0.82 % (2982077)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=4035314332:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.78/0.82 % (2982080)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2910762136:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.78/0.82 % (2982081)dis-21_1_sil=8000:lcm=predicate:random_seed=3008773228: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)
% 0.78/0.82 % (2982079)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1214415061:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.78/0.82 % (2982078)Refutation not found, incomplete strategy
% 0.78/0.82 % (2982078)------------------------------
% 0.78/0.82 % (2982078)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.78/0.82 % (2982078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.82 % (2982078)CaDiCaL version: 2.1.3
% 0.78/0.82 % (2982078)Termination reason: Refutation not found, incomplete strategy
% 0.78/0.82 % (2982078)Time elapsed: 0.001 s
% 0.78/0.82 % (2982078)Peak memory usage: 88 MB
% 0.78/0.82 % (2982078)Instructions burned: 1 (million)
% 0.78/0.82 % (2982081)First to succeed.
% 0.78/0.82 % (2982081)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2982070"
% 0.78/0.82 % (2982079)Instruction limit reached!
% 0.78/0.82 % (2982079)------------------------------
% 0.78/0.82 % (2982079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.78/0.82 % (2982079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.82 % (2982079)CaDiCaL version: 2.1.3
% 0.78/0.82 % (2982079)Termination reason: Instruction limit
% 0.78/0.82 % (2982079)Termination phase: Saturation
% 0.78/0.82 % (2982079)Time elapsed: 0.040 s
% 0.78/0.82 % (2982079)Peak memory usage: 88 MB
% 0.78/0.82 % (2982079)Instructions burned: 120 (million)
% 0.78/0.82 % (2982080)Instruction limit reached!
% 0.78/0.82 % (2982080)------------------------------
% 0.78/0.82 % (2982080)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.78/0.82 % (2982080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.82 % (2982080)CaDiCaL version: 2.1.3
% 0.78/0.82 % (2982080)Termination reason: Instruction limit
% 0.78/0.82 % (2982080)Termination phase: Saturation
% 0.78/0.82 % (2982080)Time elapsed: 0.049 s
% 0.78/0.82 % (2982080)Peak memory usage: 89 MB
% 0.78/0.82 % (2982080)Instructions burned: 140 (million)
% 0.78/0.82 % (2982089)lrs+10_1_sil=8000:sp=occurrence:random_seed=3923065972:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 0.78/0.82 % (2982090)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2653857370:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 0.78/0.82 % (2982078)------------------------------
% 0.78/0.82 % (2982078)------------------------------
% 0.78/0.82 % (2982090)Instruction limit reached!
% 0.78/0.82 % (2982090)------------------------------
% 0.78/0.82 % (2982090)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.78/0.82 % (2982090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.82 % (2982090)CaDiCaL version: 2.1.3
% 0.78/0.82 % (2982090)Termination reason: Instruction limit
% 0.78/0.82 % (2982090)Termination phase: Saturation
% 0.78/0.82 % (2982090)Time elapsed: 0.047 s
% 0.78/0.82 % (2982090)Peak memory usage: 89 MB
% 0.78/0.82 % (2982090)Instructions burned: 157 (million)
% 0.78/0.82 % (2982081)Refutation found. Thanks to Tanya!
% 0.78/0.82 % SZS status Theorem for theBenchmark
% 0.78/0.82 % SZS output start Proof for theBenchmark
% See solution above
% 2.32/0.92 % (2982081)------------------------------
% 2.32/0.92 % (2982081)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.32/0.92 % (2982081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/0.92 % (2982081)CaDiCaL version: 2.1.3
% 2.32/0.92 % (2982081)Termination reason: Refutation
% 2.32/0.92 % (2982081)Time elapsed: 0.036 s
% 2.32/0.92 % (2982081)Peak memory usage: 90 MB
% 2.32/0.92 % (2982081)Instructions burned: 116 (million)
% 2.32/0.92 % (2982081)------------------------------
% 2.32/0.92 % (2982081)------------------------------
% 2.32/0.92 % (2982070)Success in time 0.296 s
% 2.32/0.92 % Vampire exiting
%------------------------------------------------------------------------------