%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET156-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 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 12:40:19 PM UTC 2026
% Result : Unsatisfiable 0.61s 0.83s
% Output : Refutation 2.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 25
% Syntax : Number of formulae : 104 ( 13 unt; 13 def)
% Number of atoms : 228 ( 5 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 226 ( 102 ~; 111 |; 0 &)
% ( 13 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 17 ( 15 usr; 13 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 33 ( 0 sgn 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
fof(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection2) ).
fof(f23,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).
fof(f24,axiom,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).
fof(f25,axiom,
! [X0,X1] :
( member(X0,complement(X1))
| ~ member(X0,universal_class)
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement2) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union) ).
fof(f122,negated_conjecture,
complement(intersection(x,y)) != union(complement(x),complement(y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_demorgans_law2_1) ).
fof(f136,plain,
complement(intersection(x,y)) != complement(intersection(complement(complement(x)),complement(complement(y)))),
inference(definition_unfolding,[],[f122,f26]) ).
fof(f180,definition,
! [X0,X1] :
( sQ0_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(definition,[new_symbols(definition,[sQ0_eqProxy])],[equality_proxy_definition]) ).
fof(f181,plain,
~ sQ0_eqProxy(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),
inference(equality_proxy_replacement,[],[f136,f180]) ).
fof(f182,plain,
! [X0,X1] :
( sQ0_eqProxy(X0,X1)
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) ),
inference(equality_proxy_replacement,[],[f7,f180]) ).
fof(f207,plain,
! [X0,X1] :
( member(X0,universal_class)
| ~ member(X0,X1) ),
inference(resolution,[],[f1,f4]) ).
fof(f215,plain,
( ~ subclass(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y)))
| ~ subclass(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))) ),
inference(resolution,[],[f182,f181]) ).
fof(f218,definition,
( spl1_1
<=> subclass(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f219,plain,
( ~ subclass(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y)))
| spl1_1 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f221,definition,
( spl1_2
<=> subclass(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f222,plain,
( ~ subclass(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y)))))
| spl1_2 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f224,plain,
( ~ spl1_2
| ~ spl1_1 ),
inference(avatar_split_clause,[],[f215,f218,f221]) ).
fof(f226,plain,
( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),complement(intersection(complement(complement(x)),complement(complement(y)))))
| spl1_1 ),
inference(resolution,[],[f219,f2]) ).
fof(f231,definition,
( spl1_3
<=> member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),intersection(x,y)) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
fof(f232,plain,
( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),intersection(x,y))
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f234,definition,
( spl1_4
<=> member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),universal_class) ),
introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).
fof(f235,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),universal_class)
| spl1_4 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f237,plain,
( ! [X0] : ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),X0)
| spl1_4 ),
inference(resolution,[],[f235,f207]) ).
fof(f238,plain,
( $false
| spl1_1
| spl1_4 ),
inference(resolution,[],[f237,f226]) ).
fof(f245,plain,
( spl1_1
| spl1_4 ),
inference(avatar_contradiction_clause,[],[f238]) ).
fof(f246,plain,
( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),y)
| ~ spl1_3 ),
inference(resolution,[],[f232,f22]) ).
fof(f247,plain,
( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),x)
| ~ spl1_3 ),
inference(resolution,[],[f232,f21]) ).
fof(f254,definition,
( spl1_5
<=> member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),complement(complement(x))) ),
introduced(definition,[new_symbols(definition,[spl1_5])],[avatar_definition]) ).
fof(f255,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),complement(complement(x)))
| spl1_5 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f257,definition,
( spl1_6
<=> member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),complement(complement(y))) ),
introduced(definition,[new_symbols(definition,[spl1_6])],[avatar_definition]) ).
fof(f258,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),complement(complement(y)))
| spl1_6 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f260,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),universal_class)
| member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),complement(x))
| spl1_5 ),
inference(resolution,[],[f255,f25]) ).
fof(f262,definition,
( spl1_7
<=> member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),complement(x)) ),
introduced(definition,[new_symbols(definition,[spl1_7])],[avatar_definition]) ).
fof(f263,plain,
( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),complement(x))
| ~ spl1_7 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f264,plain,
( spl1_7
| ~ spl1_4
| spl1_5 ),
inference(avatar_split_clause,[],[f260,f254,f234,f262]) ).
fof(f265,plain,
( ~ member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),complement(intersection(complement(complement(x)),complement(complement(y)))))
| spl1_2 ),
inference(resolution,[],[f222,f3]) ).
fof(f266,plain,
( member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),complement(intersection(x,y)))
| spl1_2 ),
inference(resolution,[],[f222,f2]) ).
fof(f267,plain,
( ~ member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),intersection(x,y))
| spl1_2 ),
inference(resolution,[],[f266,f24]) ).
fof(f269,plain,
( ~ member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),universal_class)
| member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),intersection(complement(complement(x)),complement(complement(y))))
| spl1_2 ),
inference(resolution,[],[f265,f25]) ).
fof(f271,definition,
( spl1_8
<=> member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),intersection(complement(complement(x)),complement(complement(y)))) ),
introduced(definition,[new_symbols(definition,[spl1_8])],[avatar_definition]) ).
fof(f272,plain,
( member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),intersection(complement(complement(x)),complement(complement(y))))
| ~ spl1_8 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f274,definition,
( spl1_9
<=> member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),universal_class) ),
introduced(definition,[new_symbols(definition,[spl1_9])],[avatar_definition]) ).
fof(f275,plain,
( ~ member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),universal_class)
| spl1_9 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f276,plain,
( spl1_8
| ~ spl1_9
| spl1_2 ),
inference(avatar_split_clause,[],[f269,f221,f274,f271]) ).
fof(f277,plain,
( ! [X0] : ~ member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),X0)
| spl1_9 ),
inference(resolution,[],[f275,f207]) ).
fof(f278,plain,
( ~ member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),y)
| ~ member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),x)
| spl1_2 ),
inference(resolution,[],[f267,f23]) ).
fof(f280,definition,
( spl1_10
<=> member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),x) ),
introduced(definition,[new_symbols(definition,[spl1_10])],[avatar_definition]) ).
fof(f283,definition,
( spl1_11
<=> member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),y) ),
introduced(definition,[new_symbols(definition,[spl1_11])],[avatar_definition]) ).
fof(f285,plain,
( ~ spl1_10
| ~ spl1_11
| spl1_2 ),
inference(avatar_split_clause,[],[f278,f221,f283,f280]) ).
fof(f299,plain,
( $false
| spl1_2
| spl1_9 ),
inference(resolution,[],[f277,f266]) ).
fof(f307,plain,
( spl1_2
| spl1_9 ),
inference(avatar_contradiction_clause,[],[f299]) ).
fof(f308,plain,
( member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),complement(complement(y)))
| ~ spl1_8 ),
inference(resolution,[],[f272,f22]) ).
fof(f309,plain,
( member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),complement(complement(x)))
| ~ spl1_8 ),
inference(resolution,[],[f272,f21]) ).
fof(f310,plain,
( ~ member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),complement(y))
| ~ spl1_8 ),
inference(resolution,[],[f308,f24]) ).
fof(f311,plain,
( ~ member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),universal_class)
| member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),y)
| ~ spl1_8 ),
inference(resolution,[],[f310,f25]) ).
fof(f313,plain,
( spl1_11
| ~ spl1_9
| ~ spl1_8 ),
inference(avatar_split_clause,[],[f311,f271,f274,f283]) ).
fof(f314,plain,
( ~ member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),complement(x))
| ~ spl1_8 ),
inference(resolution,[],[f309,f24]) ).
fof(f315,plain,
( ~ member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),universal_class)
| member(not_subclass_element(complement(intersection(x,y)),complement(intersection(complement(complement(x)),complement(complement(y))))),x)
| ~ spl1_8 ),
inference(resolution,[],[f314,f25]) ).
fof(f317,plain,
( spl1_10
| ~ spl1_9
| ~ spl1_8 ),
inference(avatar_split_clause,[],[f315,f271,f274,f280]) ).
fof(f318,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),complement(intersection(x,y)))
| spl1_1 ),
inference(resolution,[],[f219,f3]) ).
fof(f319,plain,
( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),complement(intersection(complement(complement(x)),complement(complement(y)))))
| spl1_1 ),
inference(resolution,[],[f219,f2]) ).
fof(f320,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),universal_class)
| member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),intersection(x,y))
| spl1_1 ),
inference(resolution,[],[f318,f25]) ).
fof(f321,plain,
( spl1_3
| ~ spl1_4
| spl1_1 ),
inference(avatar_split_clause,[],[f320,f218,f234,f231]) ).
fof(f323,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),intersection(complement(complement(x)),complement(complement(y))))
| spl1_1 ),
inference(resolution,[],[f319,f24]) ).
fof(f326,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),complement(complement(y)))
| ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),complement(complement(x)))
| spl1_1 ),
inference(resolution,[],[f323,f23]) ).
fof(f342,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),x)
| ~ spl1_7 ),
inference(resolution,[],[f263,f24]) ).
fof(f343,plain,
( $false
| ~ spl1_3
| ~ spl1_7 ),
inference(resolution,[],[f342,f247]) ).
fof(f344,plain,
( ~ spl1_3
| ~ spl1_7 ),
inference(avatar_contradiction_clause,[],[f343]) ).
fof(f345,plain,
( ~ spl1_5
| ~ spl1_6
| spl1_1 ),
inference(avatar_split_clause,[],[f326,f218,f257,f254]) ).
fof(f346,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),universal_class)
| member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),complement(y))
| spl1_6 ),
inference(resolution,[],[f258,f25]) ).
fof(f348,definition,
( spl1_12
<=> member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),complement(y)) ),
introduced(definition,[new_symbols(definition,[spl1_12])],[avatar_definition]) ).
fof(f349,plain,
( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),complement(y))
| ~ spl1_12 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f350,plain,
( spl1_12
| ~ spl1_4
| spl1_6 ),
inference(avatar_split_clause,[],[f346,f257,f234,f348]) ).
fof(f351,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(complement(y)))),complement(intersection(x,y))),y)
| ~ spl1_12 ),
inference(resolution,[],[f349,f24]) ).
fof(f352,plain,
( $false
| ~ spl1_3
| ~ spl1_12 ),
inference(resolution,[],[f351,f246]) ).
fof(f353,plain,
( ~ spl1_3
| ~ spl1_12 ),
inference(avatar_contradiction_clause,[],[f352]) ).
cnf(s2,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(sat_conversion,[],[f224]) ).
cnf(s4,plain,
( spl1_1
| spl1_4 ),
inference(sat_conversion,[],[f245]) ).
cnf(s6,plain,
( ~ spl1_4
| spl1_5
| spl1_7 ),
inference(sat_conversion,[],[f264]) ).
cnf(s7,plain,
( spl1_2
| spl1_8
| ~ spl1_9 ),
inference(sat_conversion,[],[f276]) ).
cnf(s8,plain,
( spl1_2
| ~ spl1_10
| ~ spl1_11 ),
inference(sat_conversion,[],[f285]) ).
cnf(s12,plain,
( spl1_2
| spl1_9 ),
inference(sat_conversion,[],[f307]) ).
cnf(s13,plain,
( ~ spl1_8
| ~ spl1_9
| spl1_11 ),
inference(sat_conversion,[],[f313]) ).
cnf(s14,plain,
( ~ spl1_8
| ~ spl1_9
| spl1_10 ),
inference(sat_conversion,[],[f317]) ).
cnf(s15,plain,
( spl1_1
| spl1_3
| ~ spl1_4 ),
inference(sat_conversion,[],[f321]) ).
cnf(s20,plain,
( ~ spl1_3
| ~ spl1_7 ),
inference(sat_conversion,[],[f344]) ).
cnf(s21,plain,
( spl1_1
| ~ spl1_5
| ~ spl1_6 ),
inference(sat_conversion,[],[f345]) ).
cnf(s22,plain,
( ~ spl1_4
| spl1_6
| spl1_12 ),
inference(sat_conversion,[],[f350]) ).
cnf(s23,plain,
( ~ spl1_3
| ~ spl1_12 ),
inference(sat_conversion,[],[f353]) ).
cnf(s24,plain,
( ~ spl1_4
| spl1_1 ),
inference(rat,[],[s21,s6,s22,s20,s23,s15]) ).
cnf(s25,plain,
spl1_1,
inference(rat,[],[s24,s4]) ).
cnf(s26,plain,
~ spl1_2,
inference(rat,[],[s2,s25]) ).
cnf(s27,plain,
spl1_9,
inference(rat,[],[s12,s26]) ).
cnf(s28,plain,
spl1_8,
inference(rat,[],[s7,s27,s26]) ).
cnf(s29,plain,
spl1_10,
inference(rat,[],[s14,s27,s28]) ).
cnf(s30,plain,
spl1_11,
inference(rat,[],[s13,s27,s28]) ).
cnf(s31,plain,
$false,
inference(rat,[],[s8,s26,s30,s29]) ).
fof(f354,plain,
$false,
inference(avatar_sat_refutation,[],[s31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SET156-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.03/0.32 % Computer : n012.cluster.edu
% 0.03/0.32 % Model : x86_64 x86_64
% 0.03/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.32 % Memory : 8046.5625MB
% 0.03/0.32 % OS : Linux 6.8.0-71-generic
% 0.03/0.32 % CPULimit : 300
% 0.03/0.32 % WCLimit : 300
% 0.03/0.32 % DateTime : Mon Sep 28 00:56:20 UTC 2026
% 0.03/0.32 % CPUTime :
% 0.03/0.32 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.34 Running first-order theorem proving
% 0.07/0.34 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
% 0.61/0.83 % (2914801)Input is clausal, will run a generic CNF schedule.
% 0.61/0.83 % (2914807)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2645580067:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.61/0.83 % (2914812)dis-21_1_sil=8000:lcm=predicate:random_seed=278181481:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 0.61/0.83 % (2914808)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=250762134:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.61/0.83 % (2914810)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2784315063:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.61/0.83 % (2914811)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=462048339:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.61/0.83 % (2914809)lrs+10_1_sil=8000:sp=occurrence:random_seed=3652274616:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.61/0.83 % (2914806)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=2010930802:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.61/0.83 % (2914809)Refutation not found, incomplete strategy
% 0.61/0.83 % (2914809)------------------------------
% 0.61/0.83 % (2914809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.61/0.83 % (2914809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.83 % (2914809)CaDiCaL version: 2.1.3
% 0.61/0.83 % (2914809)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.83 % (2914809)Time elapsed: 0.001 s
% 0.61/0.83 % (2914809)Peak memory usage: 87 MB
% 0.61/0.83 % (2914809)Instructions burned: 1 (million)
% 0.61/0.83 % (2914812)First to succeed.
% 0.61/0.83 % (2914812)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2914801"
% 0.61/0.83 % (2914810)Instruction limit reached!
% 0.61/0.83 % (2914810)------------------------------
% 0.61/0.83 % (2914810)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.61/0.83 % (2914810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.83 % (2914810)CaDiCaL version: 2.1.3
% 0.61/0.83 % (2914810)Termination reason: Instruction limit
% 0.61/0.83 % (2914810)Termination phase: Saturation
% 0.61/0.83 % (2914810)Time elapsed: 0.037 s
% 0.61/0.83 % (2914810)Peak memory usage: 88 MB
% 0.61/0.83 % (2914810)Instructions burned: 117 (million)
% 0.61/0.83 % (2914811)Instruction limit reached!
% 0.61/0.83 % (2914811)------------------------------
% 0.61/0.83 % (2914811)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.61/0.83 % (2914811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.83 % (2914811)CaDiCaL version: 2.1.3
% 0.61/0.83 % (2914811)Termination reason: Instruction limit
% 0.61/0.83 % (2914811)Termination phase: Saturation
% 0.61/0.83 % (2914811)Time elapsed: 0.073 s
% 0.61/0.83 % (2914811)Peak memory usage: 90 MB
% 0.61/0.83 % (2914811)Instructions burned: 182 (million)
% 0.61/0.83 % (2914809)------------------------------
% 0.61/0.83 % (2914809)------------------------------
% 0.61/0.83 % (2914820)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2668181039:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 0.61/0.83 % (2914812)Refutation found. Thanks to Tanya!
% 0.61/0.83 % SZS status Unsatisfiable for theBenchmark
% 0.61/0.83 % SZS output start Proof for theBenchmark
% See solution above
% 2.31/0.93 % (2914812)------------------------------
% 2.31/0.93 % (2914812)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.31/0.93 % (2914812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.93 % (2914812)CaDiCaL version: 2.1.3
% 2.31/0.93 % (2914812)Termination reason: Refutation
% 2.31/0.93 % (2914812)Time elapsed: 0.004 s
% 2.31/0.93 % (2914812)Peak memory usage: 89 MB
% 2.31/0.93 % (2914812)Instructions burned: 12 (million)
% 2.31/0.93 % (2914812)------------------------------
% 2.31/0.93 % (2914812)------------------------------
% 2.31/0.93 % (2914801)Success in time 0.295 s
% 2.31/0.93 % Vampire exiting
%------------------------------------------------------------------------------