%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET986+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 : n005.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 12:42:28 PM UTC 2026
% Result : Theorem 4.18s 1.53s
% Output : Refutation 5.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 10
% Syntax : Number of formulae : 72 ( 15 unt; 5 def)
% Number of atoms : 285 ( 62 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 344 ( 131 ~; 148 |; 52 &)
% ( 11 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 6 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-3 aty)
% Number of variables : 101 ( 0 sgn 91 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
fof(f4,axiom,
! [X0,X1] :
( X1 = singleton(X0)
<=> ! [X2] :
( in(X2,X1)
<=> X2 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).
fof(f5,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(f7,axiom,
! [X0,X1,X2] :
( X2 = set_difference(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X0)
& ~ in(X3,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_xboole_0) ).
fof(f14,conjecture,
! [X0,X1] :
( in(X0,X1)
=> set_union2(set_difference(X1,singleton(X0)),singleton(X0)) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t140_zfmisc_1) ).
fof(f15,negated_conjecture,
~ ! [X0,X1] :
( in(X0,X1)
=> set_union2(set_difference(X1,singleton(X0)),singleton(X0)) = X1 ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f23,plain,
? [X0,X1] :
( set_union2(set_difference(X1,singleton(X0)),singleton(X0)) != X1
& in(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f26,plain,
! [X0,X1] :
( ( X1 = singleton(X0)
| ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X2 = X0
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| X0 != X2 )
& ( X2 = X0
| ~ in(X2,X1) ) )
| singleton(X0) != X1 ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f27,plain,
! [X0,X1] :
( ( X1 = singleton(X0)
| ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X2 = X0
| in(X2,X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ in(X3,X1) ) )
| singleton(X0) != X1 ) ),
inference(rectify,[],[f26]) ).
fof(f28,plain,
! [X0,X1] :
( ( X1 = singleton(X0)
| ( ( sK0(X0,X1) != X0
| ~ in(sK0(X0,X1),X1) )
& ( sK0(X0,X1) = X0
| in(sK0(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ in(X3,X1) ) )
| singleton(X0) != X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f27]) ).
fof(f29,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,[],[f5]) ).
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(flattening,[],[f29]) ).
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) ) ) )
& ( ! [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,[],[f30]) ).
fof(f32,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))],[f31]) ).
fof(f36,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,[],[f7]) ).
fof(f37,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,[],[f36]) ).
fof(f38,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,[],[f37]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ( X2 = set_difference(X0,X1)
| ( ( ~ in(sK3(X0,X1,X2),X0)
| in(sK3(X0,X1,X2),X1)
| ~ in(sK3(X0,X1,X2),X2) )
& ( ( in(sK3(X0,X1,X2),X0)
& ~ in(sK3(X0,X1,X2),X1) )
| in(sK3(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,[sK3]),skolemize(X3,sK3(X0,X1,X2))],[f38]) ).
fof(f42,plain,
( sK7 != set_union2(set_difference(sK7,singleton(sK6)),singleton(sK6))
& in(sK6,sK7) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7]),skolemize(X0,sK6),skolemize(X1,sK7)],[f23]) ).
fof(f46,plain,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f50,plain,
! [X3,X0,X1] :
( X0 = X3
| ~ in(X3,X1)
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f28]) ).
fof(f57,plain,
! [X2,X0,X1] :
( set_union2(X0,X1) = X2
| in(sK1(X0,X1,X2),X0)
| in(sK1(X0,X1,X2),X1)
| in(sK1(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f32]) ).
fof(f58,plain,
! [X2,X0,X1] :
( set_union2(X0,X1) = X2
| ~ in(sK1(X0,X1,X2),X1)
| ~ in(sK1(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f32]) ).
fof(f59,plain,
! [X2,X0,X1] :
( set_union2(X0,X1) = X2
| ~ in(sK1(X0,X1,X2),X0)
| ~ in(sK1(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f32]) ).
fof(f64,plain,
! [X2,X0,X1,X4] :
( in(X4,X0)
| ~ in(X4,X2)
| set_difference(X0,X1) != X2 ),
inference(cnf_transformation,[],[f39]) ).
fof(f65,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X0)
| in(X4,X1)
| set_difference(X0,X1) != X2 ),
inference(cnf_transformation,[],[f39]) ).
fof(f75,plain,
in(sK6,sK7),
inference(cnf_transformation,[],[f42]) ).
fof(f76,plain,
sK7 != set_union2(set_difference(sK7,singleton(sK6)),singleton(sK6)),
inference(cnf_transformation,[],[f42]) ).
fof(f84,plain,
! [X3,X0] :
( X0 = X3
| ~ in(X3,singleton(X0)) ),
inference(equality_resolution,[],[f50]) ).
fof(f88,plain,
! [X0,X1,X4] :
( in(X4,set_difference(X0,X1))
| ~ in(X4,X0)
| in(X4,X1) ),
inference(equality_resolution,[],[f65]) ).
fof(f89,plain,
! [X0,X1,X4] :
( in(X4,X0)
| ~ in(X4,set_difference(X0,X1)) ),
inference(equality_resolution,[],[f64]) ).
fof(f92,plain,
sK7 != set_union2(singleton(sK6),set_difference(sK7,singleton(sK6))),
inference(forward_demodulation,[],[f76,f46]) ).
fof(f94,definition,
( spl8_1
<=> in(sK6,sK7) ),
introduced(definition,[new_symbols(definition,[spl8_1])],[avatar_definition]) ).
fof(f96,plain,
( in(sK6,sK7)
| ~ spl8_1 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f97,plain,
spl8_1,
inference(avatar_split_clause,[],[f75,f94]) ).
fof(f99,definition,
( spl8_2
<=> sK7 = set_union2(singleton(sK6),set_difference(sK7,singleton(sK6))) ),
introduced(definition,[new_symbols(definition,[spl8_2])],[avatar_definition]) ).
fof(f101,plain,
( sK7 != set_union2(singleton(sK6),set_difference(sK7,singleton(sK6)))
| spl8_2 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f102,plain,
~ spl8_2,
inference(avatar_split_clause,[],[f92,f99]) ).
fof(f109,plain,
( ! [X0] :
( sK7 != X0
| ~ in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),X0),set_difference(sK7,singleton(sK6)))
| ~ in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),X0),X0) )
| spl8_2 ),
inference(superposition,[],[f101,f58]) ).
fof(f345,definition,
( spl8_17
<=> ! [X0] :
( sK7 != X0
| ~ in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),X0),set_difference(sK7,singleton(sK6)))
| ~ in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),X0),X0) ) ),
introduced(definition,[new_symbols(definition,[spl8_17])],[avatar_definition]) ).
fof(f346,plain,
( ! [X0] :
( sK7 != X0
| ~ in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),X0),set_difference(sK7,singleton(sK6)))
| ~ in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),X0),X0) )
| ~ spl8_17 ),
inference(avatar_component_clause,[],[f345]) ).
fof(f347,plain,
( spl8_17
| spl8_2 ),
inference(avatar_split_clause,[],[f109,f99,f345]) ).
fof(f348,plain,
( ~ in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7),set_difference(sK7,singleton(sK6)))
| ~ in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7),sK7)
| ~ spl8_17 ),
inference(equality_resolution,[],[f346]) ).
fof(f349,plain,
( ~ in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7),set_difference(sK7,singleton(sK6)))
| ~ spl8_17 ),
inference(forward_subsumption_resolution,[],[f348,f89]) ).
fof(f351,definition,
( spl8_18
<=> in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7),set_difference(sK7,singleton(sK6))) ),
introduced(definition,[new_symbols(definition,[spl8_18])],[avatar_definition]) ).
fof(f353,plain,
( ~ in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7),set_difference(sK7,singleton(sK6)))
| spl8_18 ),
inference(avatar_component_clause,[],[f351]) ).
fof(f354,plain,
( ~ spl8_18
| ~ spl8_17 ),
inference(avatar_split_clause,[],[f349,f345,f351]) ).
fof(f355,plain,
( sK7 = set_union2(singleton(sK6),set_difference(sK7,singleton(sK6)))
| in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7),singleton(sK6))
| in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7),sK7)
| spl8_18 ),
inference(resolution,[],[f353,f57]) ).
fof(f357,plain,
( ~ in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7),sK7)
| in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7),singleton(sK6))
| spl8_18 ),
inference(resolution,[],[f353,f88]) ).
fof(f369,plain,
( in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7),singleton(sK6))
| in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7),sK7)
| spl8_2
| spl8_18 ),
inference(forward_subsumption_resolution,[],[f355,f101]) ).
fof(f370,plain,
( in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7),singleton(sK6))
| spl8_2
| spl8_18 ),
inference(forward_subsumption_resolution,[],[f369,f357]) ).
fof(f372,definition,
( spl8_19
<=> in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7),singleton(sK6)) ),
introduced(definition,[new_symbols(definition,[spl8_19])],[avatar_definition]) ).
fof(f374,plain,
( in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7),singleton(sK6))
| ~ spl8_19 ),
inference(avatar_component_clause,[],[f372]) ).
fof(f375,plain,
( spl8_19
| spl8_2
| spl8_18 ),
inference(avatar_split_clause,[],[f370,f351,f99,f372]) ).
fof(f376,plain,
( sK6 = sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7)
| ~ spl8_19 ),
inference(resolution,[],[f374,f84]) ).
fof(f377,plain,
( sK7 = set_union2(singleton(sK6),set_difference(sK7,singleton(sK6)))
| ~ in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7),sK7)
| ~ spl8_19 ),
inference(resolution,[],[f374,f59]) ).
fof(f391,plain,
( ~ in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7),sK7)
| spl8_2
| ~ spl8_19 ),
inference(forward_subsumption_resolution,[],[f377,f101]) ).
fof(f392,plain,
( ~ in(sK6,sK7)
| spl8_2
| ~ spl8_19 ),
inference(forward_demodulation,[],[f391,f376]) ).
fof(f393,plain,
( $false
| ~ spl8_1
| spl8_2
| ~ spl8_19 ),
inference(forward_subsumption_resolution,[],[f392,f96]) ).
fof(f394,plain,
( ~ spl8_1
| spl8_2
| ~ spl8_19 ),
inference(avatar_contradiction_clause,[],[f393]) ).
cnf(s1,plain,
spl8_1,
inference(sat_conversion,[],[f97]) ).
cnf(s2,plain,
~ spl8_2,
inference(sat_conversion,[],[f102]) ).
cnf(s17,plain,
( spl8_2
| spl8_17 ),
inference(sat_conversion,[],[f347]) ).
cnf(s18,plain,
( ~ spl8_17
| ~ spl8_18 ),
inference(sat_conversion,[],[f354]) ).
cnf(s19,plain,
( spl8_2
| spl8_18
| spl8_19 ),
inference(sat_conversion,[],[f375]) ).
cnf(s20,plain,
( ~ spl8_1
| spl8_2
| ~ spl8_19 ),
inference(sat_conversion,[],[f394]) ).
cnf(s21,plain,
spl8_17,
inference(rat,[],[s17,s2]) ).
cnf(s25,plain,
~ spl8_18,
inference(rat,[],[s18,s21]) ).
cnf(s26,plain,
spl8_19,
inference(rat,[],[s19,s2,s25]) ).
cnf(s27,plain,
~ spl8_1,
inference(rat,[],[s20,s2,s26]) ).
cnf(s28,plain,
$false,
inference(rat,[],[s1,s27]) ).
fof(f395,plain,
$false,
inference(avatar_sat_refutation,[],[s28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET986+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n005.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 28 03:19:02 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 4.18/1.53 % (402397)Detected formulas, will run a generic FOF schedule.
% 4.18/1.53 % (402404)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=1482245162:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.18/1.53 % (402405)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3599624463:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.18/1.53 % (402406)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=296455504:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.18/1.53 % (402403)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=1365074725:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.18/1.53 % (402402)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=1786169736:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.18/1.53 % (402405)Refutation not found, incomplete strategy
% 4.18/1.53 % (402405)------------------------------
% 4.18/1.53 % (402405)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.18/1.53 % (402405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/1.53 % (402405)CaDiCaL version: 2.1.3
% 4.18/1.53 % (402405)Termination reason: Refutation not found, incomplete strategy
% 4.18/1.53 % (402405)Time elapsed: 0.002 s
% 4.18/1.53 % (402405)Peak memory usage: 88 MB
% 4.18/1.53 % (402405)Instructions burned: 1 (million)
% 4.18/1.53 % (402408)dis-21_1_sil=8000:lcm=predicate:random_seed=3687803947: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)
% 4.18/1.53 % (402407)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1806183235:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.18/1.53 % (402406)Instruction limit reached!
% 4.18/1.53 % (402406)------------------------------
% 4.18/1.53 % (402406)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.18/1.53 % (402406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/1.53 % (402406)CaDiCaL version: 2.1.3
% 4.18/1.53 % (402406)Termination reason: Instruction limit
% 4.18/1.53 % (402406)Termination phase: Saturation
% 4.18/1.53 % (402406)Time elapsed: 0.076 s
% 4.18/1.53 % (402406)Peak memory usage: 89 MB
% 4.18/1.53 % (402406)Instructions burned: 120 (million)
% 4.18/1.53 % (402408)Instruction limit reached!
% 4.18/1.53 % (402408)------------------------------
% 4.18/1.53 % (402408)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.18/1.53 % (402408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/1.53 % (402408)CaDiCaL version: 2.1.3
% 4.18/1.53 % (402408)Termination reason: Instruction limit
% 4.18/1.53 % (402408)Termination phase: Saturation
% 4.18/1.53 % (402408)Time elapsed: 0.081 s
% 4.18/1.53 % (402408)Peak memory usage: 89 MB
% 4.18/1.53 % (402408)Instructions burned: 130 (million)
% 4.18/1.53 % (402407)Instruction limit reached!
% 4.18/1.53 % (402407)------------------------------
% 4.18/1.53 % (402407)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.18/1.53 % (402407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/1.53 % (402407)CaDiCaL version: 2.1.3
% 4.18/1.53 % (402407)Termination reason: Instruction limit
% 4.18/1.53 % (402407)Termination phase: Saturation
% 4.18/1.53 % (402407)Time elapsed: 0.093 s
% 4.18/1.53 % (402407)Peak memory usage: 89 MB
% 4.18/1.53 % (402407)Instructions burned: 140 (million)
% 4.18/1.53 % (402416)lrs+10_1_sil=8000:sp=occurrence:random_seed=3516766408:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.18/1.53 % (402405)------------------------------
% 4.18/1.53 % (402405)------------------------------
% 4.18/1.53 % (402417)lrs+10_1_sil=32000:urr=on:br=off:random_seed=15230829:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.18/1.53 % (402418)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3801491597:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.18/1.53 % (402404)First to succeed.
% 4.18/1.53 % (402404)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-402397"
% 4.18/1.53 % (402417)Instruction limit reached!
% 4.18/1.53 % (402417)------------------------------
% 4.18/1.53 % (402417)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.18/1.53 % (402417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/1.53 % (402417)CaDiCaL version: 2.1.3
% 4.18/1.53 % (402417)Termination reason: Instruction limit
% 4.18/1.53 % (402417)Termination phase: Saturation
% 4.18/1.53 % (402417)Time elapsed: 0.091 s
% 4.18/1.53 % (402417)Peak memory usage: 90 MB
% 4.18/1.53 % (402417)Instructions burned: 158 (million)
% 4.18/1.53 % (402420)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=898214385:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 4.18/1.53 % (402416)Instruction limit reached!
% 4.18/1.53 % (402416)------------------------------
% 4.18/1.53 % (402416)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.18/1.53 % (402416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/1.53 % (402416)CaDiCaL version: 2.1.3
% 4.18/1.53 % (402416)Termination reason: Instruction limit
% 4.18/1.53 % (402416)Termination phase: Saturation
% 4.18/1.53 % (402416)Time elapsed: 0.175 s
% 4.18/1.53 % (402416)Peak memory usage: 92 MB
% 4.18/1.53 % (402416)Instructions burned: 285 (million)
% 4.18/1.53 % (402404)Refutation found. Thanks to Tanya!
% 4.18/1.53 % SZS status Theorem for theBenchmark
% 4.18/1.53 % SZS output start Proof for theBenchmark
% See solution above
% 5.31/1.73 % (402404)------------------------------
% 5.31/1.73 % (402404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.31/1.73 % (402404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.31/1.73 % (402404)CaDiCaL version: 2.1.3
% 5.31/1.73 % (402404)Termination reason: Refutation
% 5.31/1.73 % (402404)Time elapsed: 0.373 s
% 5.31/1.73 % (402404)Peak memory usage: 130 MB
% 5.31/1.73 % (402404)Instructions burned: 975 (million)
% 5.31/1.73 % (402404)------------------------------
% 5.31/1.73 % (402404)------------------------------
% 5.31/1.73 % (402397)Success in time 0.665 s
% 5.31/1.73 % Vampire exiting
%------------------------------------------------------------------------------