%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU135+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 12:47:21 PM UTC 2026
% Result : Theorem 2.72s 1.29s
% Output : Refutation 3.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 10
% Syntax : Number of formulae : 84 ( 12 unt; 6 def)
% Number of atoms : 289 ( 35 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 331 ( 126 ~; 149 |; 43 &)
% ( 11 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 108 ( 0 sgn 98 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X0,X1,X2] :
( X2 = set_union2(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X0)
| in(X3,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_xboole_0) ).
fof(f9,axiom,
! [X0,X1,X2] :
( X2 = set_difference(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X0)
& ~ in(X3,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_xboole_0) ).
fof(f33,axiom,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
<=> in(X2,X1) )
=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_tarski) ).
fof(f38,conjecture,
! [X0,X1] : set_union2(X0,set_difference(X1,X0)) = set_union2(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t39_xboole_1) ).
fof(f39,negated_conjecture,
~ ! [X0,X1] : set_union2(X0,set_difference(X1,X0)) = set_union2(X0,X1),
inference(negated_conjecture,[status(cth)],[f38]) ).
fof(f67,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( in(X2,X0)
<~> in(X2,X1) ) ),
inference(ennf_transformation,[],[f33]) ).
fof(f69,plain,
? [X0,X1] : set_union2(X0,X1) != set_union2(X0,set_difference(X1,X0)),
inference(ennf_transformation,[],[f39]) ).
fof(f83,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,[],[f6]) ).
fof(f84,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,[],[f83]) ).
fof(f85,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,[],[f84]) ).
fof(f86,plain,
! [X0,X1,X2] :
( ( X2 = set_union2(X0,X1)
| ( ( ( ~ in(sK1(X0,X1,X2),X0)
& ~ in(sK1(X0,X1,X2),X1) )
| ~ in(sK1(X0,X1,X2),X2) )
& ( in(sK1(X0,X1,X2),X0)
| in(sK1(X0,X1,X2),X1)
| in(sK1(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,[sK1]),skolemize(X3,sK1(X0,X1,X2))],[f85]) ).
fof(f94,plain,
! [X0,X1,X2] :
( ( X2 = set_difference(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_difference(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f95,plain,
! [X0,X1,X2] :
( ( X2 = set_difference(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_difference(X0,X1) != X2 ) ),
inference(flattening,[],[f94]) ).
fof(f96,plain,
! [X0,X1,X2] :
( ( X2 = set_difference(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_difference(X0,X1) != X2 ) ),
inference(rectify,[],[f95]) ).
fof(f97,plain,
! [X0,X1,X2] :
( ( X2 = set_difference(X0,X1)
| ( ( ~ in(sK4(X0,X1,X2),X0)
| in(sK4(X0,X1,X2),X1)
| ~ in(sK4(X0,X1,X2),X2) )
& ( ( in(sK4(X0,X1,X2),X0)
& ~ in(sK4(X0,X1,X2),X1) )
| in(sK4(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,X0)
| in(X4,X1) )
& ( ( in(X4,X0)
& ~ in(X4,X1) )
| ~ in(X4,X2) ) )
| set_difference(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X3,sK4(X0,X1,X2))],[f96]) ).
fof(f102,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( ( ~ in(X2,X1)
| ~ in(X2,X0) )
& ( in(X2,X1)
| in(X2,X0) ) ) ),
inference(nnf_transformation,[],[f67]) ).
fof(f103,plain,
! [X0,X1] :
( X0 = X1
| ( ( ~ in(sK7(X0,X1),X1)
| ~ in(sK7(X0,X1),X0) )
& ( in(sK7(X0,X1),X1)
| in(sK7(X0,X1),X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X2,sK7(X0,X1))],[f102]) ).
fof(f105,plain,
set_union2(sK8,sK9) != set_union2(sK8,set_difference(sK9,sK8)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9]),skolemize(X0,sK8),skolemize(X1,sK9)],[f69]) ).
fof(f116,plain,
! [X2,X0,X1,X4] :
( in(X4,X0)
| in(X4,X1)
| ~ in(X4,X2)
| set_union2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f86]) ).
fof(f117,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X1)
| set_union2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f86]) ).
fof(f118,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X0)
| set_union2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f86]) ).
fof(f132,plain,
! [X2,X0,X1,X4] :
( in(X4,X0)
| ~ in(X4,X2)
| set_difference(X0,X1) != X2 ),
inference(cnf_transformation,[],[f97]) ).
fof(f133,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X0)
| in(X4,X1)
| set_difference(X0,X1) != X2 ),
inference(cnf_transformation,[],[f97]) ).
fof(f158,plain,
! [X0,X1] :
( X0 = X1
| in(sK7(X0,X1),X1)
| in(sK7(X0,X1),X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f159,plain,
! [X0,X1] :
( X0 = X1
| ~ in(sK7(X0,X1),X1)
| ~ in(sK7(X0,X1),X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f165,plain,
set_union2(sK8,sK9) != set_union2(sK8,set_difference(sK9,sK8)),
inference(cnf_transformation,[],[f105]) ).
fof(f182,plain,
! [X0,X1,X4] :
( in(X4,set_union2(X0,X1))
| ~ in(X4,X0) ),
inference(equality_resolution,[],[f118]) ).
fof(f183,plain,
! [X0,X1,X4] :
( in(X4,set_union2(X0,X1))
| ~ in(X4,X1) ),
inference(equality_resolution,[],[f117]) ).
fof(f184,plain,
! [X0,X1,X4] :
( ~ in(X4,set_union2(X0,X1))
| in(X4,X1)
| in(X4,X0) ),
inference(equality_resolution,[],[f116]) ).
fof(f188,plain,
! [X0,X1,X4] :
( in(X4,set_difference(X0,X1))
| ~ in(X4,X0)
| in(X4,X1) ),
inference(equality_resolution,[],[f133]) ).
fof(f189,plain,
! [X0,X1,X4] :
( ~ in(X4,set_difference(X0,X1))
| in(X4,X0) ),
inference(equality_resolution,[],[f132]) ).
fof(f191,definition,
! [X0,X1] :
( sQ12_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(definition,[new_symbols(definition,[sQ12_eqProxy])],[equality_proxy_definition]) ).
fof(f215,plain,
! [X0,X1] :
( sQ12_eqProxy(X0,X1)
| ~ in(sK7(X0,X1),X1)
| ~ in(sK7(X0,X1),X0) ),
inference(equality_proxy_replacement,[],[f159,f191]) ).
fof(f216,plain,
! [X0,X1] :
( sQ12_eqProxy(X0,X1)
| in(sK7(X0,X1),X1)
| in(sK7(X0,X1),X0) ),
inference(equality_proxy_replacement,[],[f158,f191]) ).
fof(f219,plain,
~ sQ12_eqProxy(set_union2(sK8,sK9),set_union2(sK8,set_difference(sK9,sK8))),
inference(equality_proxy_replacement,[],[f165,f191]) ).
fof(f2019,plain,
( ~ in(sK7(set_union2(sK8,sK9),set_union2(sK8,set_difference(sK9,sK8))),set_union2(sK8,set_difference(sK9,sK8)))
| ~ in(sK7(set_union2(sK8,sK9),set_union2(sK8,set_difference(sK9,sK8))),set_union2(sK8,sK9)) ),
inference(resolution,[],[f215,f219]) ).
fof(f2033,definition,
( spl13_38
<=> in(sK7(set_union2(sK8,sK9),set_union2(sK8,set_difference(sK9,sK8))),set_union2(sK8,sK9)) ),
introduced(definition,[new_symbols(definition,[spl13_38])],[avatar_definition]) ).
fof(f2034,plain,
( ~ in(sK7(set_union2(sK8,sK9),set_union2(sK8,set_difference(sK9,sK8))),set_union2(sK8,sK9))
| spl13_38 ),
inference(avatar_component_clause,[],[f2033]) ).
fof(f2036,definition,
( spl13_39
<=> in(sK7(set_union2(sK8,sK9),set_union2(sK8,set_difference(sK9,sK8))),set_union2(sK8,set_difference(sK9,sK8))) ),
introduced(definition,[new_symbols(definition,[spl13_39])],[avatar_definition]) ).
fof(f2037,plain,
( ~ in(sK7(set_union2(sK8,sK9),set_union2(sK8,set_difference(sK9,sK8))),set_union2(sK8,set_difference(sK9,sK8)))
| spl13_39 ),
inference(avatar_component_clause,[],[f2036]) ).
fof(f2038,plain,
( ~ spl13_38
| ~ spl13_39 ),
inference(avatar_split_clause,[],[f2019,f2036,f2033]) ).
fof(f2039,plain,
( ~ in(sK7(set_union2(sK8,sK9),set_union2(sK8,set_difference(sK9,sK8))),set_difference(sK9,sK8))
| spl13_39 ),
inference(resolution,[],[f2037,f183]) ).
fof(f2040,plain,
( ~ in(sK7(set_union2(sK8,sK9),set_union2(sK8,set_difference(sK9,sK8))),sK8)
| spl13_39 ),
inference(resolution,[],[f2037,f182]) ).
fof(f2043,definition,
( spl13_40
<=> in(sK7(set_union2(sK8,sK9),set_union2(sK8,set_difference(sK9,sK8))),sK8) ),
introduced(definition,[new_symbols(definition,[spl13_40])],[avatar_definition]) ).
fof(f2044,plain,
( in(sK7(set_union2(sK8,sK9),set_union2(sK8,set_difference(sK9,sK8))),sK8)
| ~ spl13_40 ),
inference(avatar_component_clause,[],[f2043]) ).
fof(f2046,definition,
( spl13_41
<=> in(sK7(set_union2(sK8,sK9),set_union2(sK8,set_difference(sK9,sK8))),sK9) ),
introduced(definition,[new_symbols(definition,[spl13_41])],[avatar_definition]) ).
fof(f2047,plain,
( ~ in(sK7(set_union2(sK8,sK9),set_union2(sK8,set_difference(sK9,sK8))),sK9)
| spl13_41 ),
inference(avatar_component_clause,[],[f2046]) ).
fof(f2133,plain,
( in(sK7(set_union2(sK8,sK9),set_union2(sK8,set_difference(sK9,sK8))),set_union2(sK8,set_difference(sK9,sK8)))
| in(sK7(set_union2(sK8,sK9),set_union2(sK8,set_difference(sK9,sK8))),set_union2(sK8,sK9)) ),
inference(resolution,[],[f216,f219]) ).
fof(f2142,plain,
( in(sK7(set_union2(sK8,sK9),set_union2(sK8,set_difference(sK9,sK8))),set_union2(sK8,sK9))
| ~ spl13_38 ),
inference(avatar_component_clause,[],[f2033]) ).
fof(f2143,plain,
( in(sK7(set_union2(sK8,sK9),set_union2(sK8,set_difference(sK9,sK8))),set_union2(sK8,set_difference(sK9,sK8)))
| ~ spl13_39 ),
inference(avatar_component_clause,[],[f2036]) ).
fof(f2144,plain,
( spl13_38
| spl13_39 ),
inference(avatar_split_clause,[],[f2133,f2036,f2033]) ).
fof(f2145,plain,
( ~ in(sK7(set_union2(sK8,sK9),set_union2(sK8,set_difference(sK9,sK8))),sK9)
| spl13_38 ),
inference(resolution,[],[f2034,f183]) ).
fof(f2146,plain,
( ~ in(sK7(set_union2(sK8,sK9),set_union2(sK8,set_difference(sK9,sK8))),sK8)
| spl13_38 ),
inference(resolution,[],[f2034,f182]) ).
fof(f2153,plain,
( in(sK7(set_union2(sK8,sK9),set_union2(sK8,set_difference(sK9,sK8))),set_difference(sK9,sK8))
| in(sK7(set_union2(sK8,sK9),set_union2(sK8,set_difference(sK9,sK8))),sK8)
| ~ spl13_39 ),
inference(resolution,[],[f2143,f184]) ).
fof(f2157,definition,
( spl13_44
<=> in(sK7(set_union2(sK8,sK9),set_union2(sK8,set_difference(sK9,sK8))),set_difference(sK9,sK8)) ),
introduced(definition,[new_symbols(definition,[spl13_44])],[avatar_definition]) ).
fof(f2158,plain,
( in(sK7(set_union2(sK8,sK9),set_union2(sK8,set_difference(sK9,sK8))),set_difference(sK9,sK8))
| ~ spl13_44 ),
inference(avatar_component_clause,[],[f2157]) ).
fof(f2159,plain,
( spl13_40
| spl13_44
| ~ spl13_39 ),
inference(avatar_split_clause,[],[f2153,f2036,f2157,f2043]) ).
fof(f2185,plain,
( in(sK7(set_union2(sK8,sK9),set_union2(sK8,set_difference(sK9,sK8))),sK9)
| ~ spl13_44 ),
inference(resolution,[],[f2158,f189]) ).
fof(f2232,plain,
( $false
| spl13_41
| ~ spl13_44 ),
inference(resolution,[],[f2185,f2047]) ).
fof(f2235,plain,
( spl13_41
| ~ spl13_44 ),
inference(avatar_contradiction_clause,[],[f2232]) ).
fof(f2236,plain,
( ~ spl13_41
| spl13_38 ),
inference(avatar_split_clause,[],[f2145,f2033,f2046]) ).
fof(f2240,plain,
( in(sK7(set_union2(sK8,sK9),set_union2(sK8,set_difference(sK9,sK8))),sK9)
| in(sK7(set_union2(sK8,sK9),set_union2(sK8,set_difference(sK9,sK8))),sK8)
| ~ spl13_38 ),
inference(resolution,[],[f2142,f184]) ).
fof(f2244,plain,
( spl13_40
| spl13_41
| ~ spl13_38 ),
inference(avatar_split_clause,[],[f2240,f2033,f2046,f2043]) ).
fof(f2273,plain,
( ~ in(sK7(set_union2(sK8,sK9),set_union2(sK8,set_difference(sK9,sK8))),sK9)
| in(sK7(set_union2(sK8,sK9),set_union2(sK8,set_difference(sK9,sK8))),sK8)
| spl13_39 ),
inference(resolution,[],[f2039,f188]) ).
fof(f2274,plain,
( spl13_40
| ~ spl13_41
| spl13_39 ),
inference(avatar_split_clause,[],[f2273,f2036,f2046,f2043]) ).
fof(f2334,plain,
( $false
| spl13_39
| ~ spl13_40 ),
inference(resolution,[],[f2044,f2040]) ).
fof(f2337,plain,
( spl13_39
| ~ spl13_40 ),
inference(avatar_contradiction_clause,[],[f2334]) ).
fof(f2363,plain,
( $false
| spl13_38
| ~ spl13_40 ),
inference(resolution,[],[f2146,f2044]) ).
fof(f2364,plain,
( spl13_38
| ~ spl13_40 ),
inference(avatar_contradiction_clause,[],[f2363]) ).
cnf(s29,plain,
( ~ spl13_38
| ~ spl13_39 ),
inference(sat_conversion,[],[f2038]) ).
cnf(s33,plain,
( spl13_38
| spl13_39 ),
inference(sat_conversion,[],[f2144]) ).
cnf(s34,plain,
( ~ spl13_39
| spl13_40
| spl13_44 ),
inference(sat_conversion,[],[f2159]) ).
cnf(s36,plain,
( spl13_41
| ~ spl13_44 ),
inference(sat_conversion,[],[f2235]) ).
cnf(s37,plain,
( spl13_38
| ~ spl13_41 ),
inference(sat_conversion,[],[f2236]) ).
cnf(s38,plain,
( ~ spl13_38
| spl13_40
| spl13_41 ),
inference(sat_conversion,[],[f2244]) ).
cnf(s39,plain,
( spl13_39
| spl13_40
| ~ spl13_41 ),
inference(sat_conversion,[],[f2274]) ).
cnf(s43,plain,
( spl13_39
| ~ spl13_40 ),
inference(sat_conversion,[],[f2337]) ).
cnf(s46,plain,
( spl13_38
| ~ spl13_40 ),
inference(sat_conversion,[],[f2364]) ).
cnf(s52,plain,
spl13_38,
inference(rat,[],[s34,s36,s33,s37,s46]) ).
cnf(s53,plain,
~ spl13_39,
inference(rat,[],[s29,s52]) ).
cnf(s54,plain,
~ spl13_40,
inference(rat,[],[s43,s53]) ).
cnf(s55,plain,
~ spl13_41,
inference(rat,[],[s39,s54,s53]) ).
cnf(s56,plain,
$false,
inference(rat,[],[s38,s52,s54,s55]) ).
fof(f2365,plain,
$false,
inference(avatar_sat_refutation,[],[s56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU135+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n020.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 03:41:50 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 2.72/1.29 % (4004801)Detected formulas, will run a generic FOF schedule.
% 2.72/1.29 % (4004810)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2379593744:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.72/1.29 % (4004811)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3116456812:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.72/1.29 % (4004809)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=326467774:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.72/1.29 % (4004807)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=2624379885:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.72/1.29 % (4004806)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=3691662030:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.72/1.29 % (4004808)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=3029050073:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.72/1.29 % (4004812)dis-21_1_sil=8000:lcm=predicate:random_seed=1346941706: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)
% 2.72/1.29 % (4004810)Instruction limit reached!
% 2.72/1.29 % (4004810)------------------------------
% 2.72/1.29 % (4004810)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.29 % (4004810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.29 % (4004810)CaDiCaL version: 2.1.3
% 2.72/1.29 % (4004810)Termination reason: Instruction limit
% 2.72/1.29 % (4004810)Termination phase: Saturation
% 2.72/1.29 % (4004810)Time elapsed: 0.041 s
% 2.72/1.29 % (4004810)Peak memory usage: 89 MB
% 2.72/1.29 % (4004810)Instructions burned: 121 (million)
% 2.72/1.29 % (4004812)First to succeed.
% 2.72/1.29 % (4004812)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4004801"
% 2.72/1.29 % (4004809)Instruction limit reached!
% 2.72/1.29 % (4004809)------------------------------
% 2.72/1.29 % (4004809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.29 % (4004809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.29 % (4004809)CaDiCaL version: 2.1.3
% 2.72/1.29 % (4004809)Termination reason: Instruction limit
% 2.72/1.29 % (4004809)Termination phase: Saturation
% 2.72/1.29 % (4004809)Time elapsed: 0.072 s
% 2.72/1.29 % (4004809)Peak memory usage: 89 MB
% 2.72/1.29 % (4004809)Instructions burned: 109 (million)
% 2.72/1.29 % (4004811)Instruction limit reached!
% 2.72/1.29 % (4004811)------------------------------
% 2.72/1.29 % (4004811)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.29 % (4004811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.29 % (4004811)CaDiCaL version: 2.1.3
% 2.72/1.29 % (4004811)Termination reason: Instruction limit
% 2.72/1.29 % (4004811)Termination phase: Saturation
% 2.72/1.29 % (4004811)Time elapsed: 0.098 s
% 2.72/1.29 % (4004811)Peak memory usage: 89 MB
% 2.72/1.29 % (4004811)Instructions burned: 140 (million)
% 2.72/1.29 % (4004820)lrs+10_1_sil=8000:sp=occurrence:random_seed=3280944770:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.72/1.29 % (4004821)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4184988731:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.72/1.29 % (4004820)Instruction limit reached!
% 2.72/1.29 % (4004820)------------------------------
% 2.72/1.29 % (4004820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.29 % (4004820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.29 % (4004820)CaDiCaL version: 2.1.3
% 2.72/1.29 % (4004820)Termination reason: Instruction limit
% 2.72/1.29 % (4004820)Termination phase: Saturation
% 2.72/1.29 % (4004820)Time elapsed: 0.091 s
% 2.72/1.29 % (4004820)Peak memory usage: 91 MB
% 2.72/1.29 % (4004820)Instructions burned: 285 (million)
% 2.72/1.29 % (4004822)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1574090499:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 2.72/1.29 % (4004825)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3484435633:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 2.72/1.29 % (4004812)Refutation found. Thanks to Tanya!
% 2.72/1.29 % SZS status Theorem for theBenchmark
% 2.72/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 3.70/1.47 % (4004812)------------------------------
% 3.70/1.47 % (4004812)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.70/1.47 % (4004812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.70/1.47 % (4004812)CaDiCaL version: 2.1.3
% 3.70/1.47 % (4004812)Termination reason: Refutation
% 3.70/1.47 % (4004812)Time elapsed: 0.040 s
% 3.70/1.47 % (4004812)Peak memory usage: 90 MB
% 3.70/1.47 % (4004812)Instructions burned: 61 (million)
% 3.70/1.47 % (4004812)------------------------------
% 3.70/1.47 % (4004812)------------------------------
% 3.70/1.47 % (4004801)Success in time 0.447 s
% 3.70/1.47 % Vampire exiting
%------------------------------------------------------------------------------