%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM069-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 12:11:41 PM UTC 2026
% Result : Unsatisfiable 10.51s 2.61s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 22
% Syntax : Number of formulae : 91 ( 22 unt; 4 def)
% Number of atoms : 205 ( 46 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 203 ( 89 ~; 110 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-3 aty)
% Number of variables : 96 ( 0 sgn 96 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subclass(X0,X1)
| member(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_member) ).
fof(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair2) ).
fof(f10,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X1,X0))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair3) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_set) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).
fof(f23,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection3) ).
fof(f28,axiom,
! [X2,X0,X1] : intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',restriction1) ).
fof(f30,axiom,
! [X0,X1] :
( restrict(X0,singleton(X1),universal_class) != null_class
| ~ member(X1,domain_of(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain1) ).
fof(f67,axiom,
! [X0] :
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity1) ).
fof(f68,plain,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
inference(reorient_equations,[],[f67]) ).
fof(f69,axiom,
! [X0] :
( X0 = null_class
| intersection(X0,regular(X0)) = null_class ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity2) ).
fof(f70,plain,
! [X0] :
( null_class = intersection(X0,regular(X0))
| null_class = X0 ),
inference(reorient_equations,[],[f69]) ).
fof(f178,negated_conjecture,
member(u,v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_well_ordering_property3_3) ).
fof(f179,negated_conjecture,
member(v,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_well_ordering_property3_4) ).
fof(f204,plain,
! [X0,X1] :
( null_class != intersection(X0,cross_product(unordered_pair(X1,X1),universal_class))
| ~ member(X1,domain_of(X0)) ),
inference(definition_unfolding,[],[f30,f28,f12]) ).
fof(f334,definition,
( spl5_6
<=> member(v,universal_class) ),
introduced(definition,[new_symbols(definition,[spl5_6])],[avatar_definition]) ).
fof(f335,plain,
( member(v,universal_class)
| ~ spl5_6 ),
inference(avatar_component_clause,[],[f334]) ).
fof(f336,plain,
( ~ member(v,universal_class)
| spl5_6 ),
inference(avatar_component_clause,[],[f334]) ).
fof(f352,definition,
( spl5_10
<=> member(u,universal_class) ),
introduced(definition,[new_symbols(definition,[spl5_10])],[avatar_definition]) ).
fof(f353,plain,
( member(u,universal_class)
| ~ spl5_10 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f354,plain,
( ~ member(u,universal_class)
| spl5_10 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f399,plain,
! [X0] :
( ~ subclass(v,X0)
| member(u,X0) ),
inference(resolution,[],[f1,f178]) ).
fof(f401,plain,
! [X0] :
( ~ subclass(u,X0)
| member(v,X0) ),
inference(resolution,[],[f1,f179]) ).
fof(f435,plain,
! [X0,X1] :
( regular(unordered_pair(X0,X1)) = X1
| regular(unordered_pair(X0,X1)) = X0
| unordered_pair(X0,X1) = null_class ),
inference(resolution,[],[f68,f8]) ).
fof(f633,plain,
! [X2,X0,X1] :
( member(not_subclass_element(X0,X1),X2)
| ~ subclass(X0,X2)
| subclass(X0,X1) ),
inference(resolution,[],[f2,f1]) ).
fof(f637,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f2,f21]) ).
fof(f647,plain,
member(v,universal_class),
inference(resolution,[],[f401,f4]) ).
fof(f648,plain,
( $false
| spl5_6 ),
inference(forward_subsumption_resolution,[],[f647,f336]) ).
fof(f649,plain,
spl5_6,
inference(avatar_contradiction_clause,[],[f648]) ).
fof(f659,plain,
member(u,universal_class),
inference(resolution,[],[f399,f4]) ).
fof(f660,plain,
( $false
| spl5_10 ),
inference(forward_subsumption_resolution,[],[f659,f354]) ).
fof(f661,plain,
spl5_10,
inference(avatar_contradiction_clause,[],[f660]) ).
fof(f677,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X0)
| subclass(intersection(X0,X1),X0) ),
inference(resolution,[],[f637,f3]) ).
fof(f689,plain,
! [X0,X1] : subclass(intersection(X0,X1),X0),
inference(duplicate_literal_removal,[],[f677]) ).
fof(f694,plain,
! [X0] :
( subclass(null_class,X0)
| null_class = X0 ),
inference(superposition,[],[f689,f70]) ).
fof(f695,plain,
! [X0] :
( null_class = X0
| ~ subclass(X0,null_class)
| null_class = X0 ),
inference(resolution,[],[f694,f7]) ).
fof(f696,plain,
! [X0] :
( ~ subclass(X0,null_class)
| null_class = X0 ),
inference(duplicate_literal_removal,[],[f695]) ).
fof(f700,plain,
! [X2,X0,X1] :
( ~ member(not_subclass_element(X0,intersection(X1,X2)),X2)
| ~ member(not_subclass_element(X0,intersection(X1,X2)),X1)
| subclass(X0,intersection(X1,X2)) ),
inference(resolution,[],[f23,f3]) ).
fof(f701,plain,
! [X0,X1] :
( ~ member(X0,regular(X1))
| member(X0,null_class)
| ~ member(X0,X1)
| null_class = X1 ),
inference(superposition,[],[f23,f70]) ).
fof(f858,plain,
! [X0] : null_class = intersection(null_class,X0),
inference(resolution,[],[f696,f689]) ).
fof(f931,plain,
! [X0] :
( null_class != null_class
| ~ member(X0,domain_of(null_class)) ),
inference(superposition,[],[f204,f858]) ).
fof(f932,plain,
! [X0] : ~ member(X0,domain_of(null_class)),
inference(trivial_inequality_removal,[],[f931]) ).
fof(f938,plain,
null_class = domain_of(null_class),
inference(resolution,[],[f932,f68]) ).
fof(f945,plain,
! [X0] : ~ member(X0,null_class),
inference(superposition,[],[f932,f938]) ).
fof(f1097,plain,
! [X2,X0,X1] :
( ~ member(X1,X0)
| member(X1,null_class)
| ~ member(X1,unordered_pair(X2,X0))
| null_class = unordered_pair(X2,X0)
| regular(unordered_pair(X2,X0)) = X2
| null_class = unordered_pair(X2,X0) ),
inference(superposition,[],[f701,f435]) ).
fof(f1102,plain,
! [X2,X0,X1] :
( ~ member(X1,X0)
| member(X1,null_class)
| ~ member(X1,unordered_pair(X2,X0))
| null_class = unordered_pair(X2,X0)
| regular(unordered_pair(X2,X0)) = X2 ),
inference(duplicate_literal_removal,[],[f1097]) ).
fof(f1104,plain,
! [X2,X0,X1] :
( ~ member(X1,unordered_pair(X2,X0))
| ~ member(X1,X0)
| null_class = unordered_pair(X2,X0)
| regular(unordered_pair(X2,X0)) = X2 ),
inference(forward_subsumption_resolution,[],[f1102,f945]) ).
fof(f1628,plain,
! [X0,X1] :
( ~ member(X0,universal_class)
| unordered_pair(X0,X1) = null_class
| regular(unordered_pair(X0,X1)) = X0
| ~ member(X0,X1) ),
inference(resolution,[],[f1104,f9]) ).
fof(f4883,plain,
! [X2,X0,X1] :
( ~ member(not_subclass_element(X0,intersection(X1,X2)),X1)
| subclass(X0,intersection(X1,X2))
| ~ subclass(X0,X2)
| subclass(X0,intersection(X1,X2)) ),
inference(resolution,[],[f700,f633]) ).
fof(f4898,plain,
! [X2,X0,X1] :
( ~ member(not_subclass_element(X0,intersection(X1,X2)),X1)
| subclass(X0,intersection(X1,X2))
| ~ subclass(X0,X2) ),
inference(duplicate_literal_removal,[],[f4883]) ).
fof(f4902,plain,
! [X0,X1] :
( subclass(X0,intersection(X0,X1))
| ~ subclass(X0,X1)
| subclass(X0,intersection(X0,X1)) ),
inference(resolution,[],[f4898,f2]) ).
fof(f4923,plain,
! [X0,X1] :
( subclass(X0,intersection(X0,X1))
| ~ subclass(X0,X1) ),
inference(duplicate_literal_removal,[],[f4902]) ).
fof(f4925,plain,
! [X0,X1] :
( ~ subclass(X0,X1)
| ~ subclass(intersection(X0,X1),X0)
| intersection(X0,X1) = X0 ),
inference(resolution,[],[f4923,f7]) ).
fof(f4970,plain,
! [X0,X1] :
( ~ subclass(X0,X1)
| intersection(X0,X1) = X0 ),
inference(forward_subsumption_resolution,[],[f4925,f689]) ).
fof(f4984,plain,
! [X0] : intersection(X0,universal_class) = X0,
inference(resolution,[],[f4970,f4]) ).
fof(f5041,plain,
! [X0,X1] :
( ~ member(X1,X0)
| member(X1,universal_class) ),
inference(superposition,[],[f22,f4984]) ).
fof(f7551,plain,
( ! [X0] :
( ~ member(v,X0)
| v = regular(unordered_pair(v,X0))
| null_class = unordered_pair(v,X0) )
| ~ spl5_6 ),
inference(resolution,[],[f1628,f335]) ).
fof(f7664,plain,
( v = regular(unordered_pair(v,u))
| null_class = unordered_pair(v,u)
| ~ spl5_6 ),
inference(resolution,[],[f7551,f179]) ).
fof(f8072,definition,
( spl5_516
<=> null_class = unordered_pair(v,u) ),
introduced(definition,[new_symbols(definition,[spl5_516])],[avatar_definition]) ).
fof(f8073,plain,
( null_class != unordered_pair(v,u)
| spl5_516 ),
inference(avatar_component_clause,[],[f8072]) ).
fof(f8074,plain,
( null_class = unordered_pair(v,u)
| ~ spl5_516 ),
inference(avatar_component_clause,[],[f8072]) ).
fof(f8076,definition,
( spl5_517
<=> v = regular(unordered_pair(v,u)) ),
introduced(definition,[new_symbols(definition,[spl5_517])],[avatar_definition]) ).
fof(f8078,plain,
( v = regular(unordered_pair(v,u))
| ~ spl5_517 ),
inference(avatar_component_clause,[],[f8076]) ).
fof(f8079,plain,
( spl5_516
| spl5_517
| ~ spl5_6 ),
inference(avatar_split_clause,[],[f7664,f334,f8076,f8072]) ).
fof(f8626,plain,
( member(u,null_class)
| ~ member(u,universal_class)
| ~ spl5_516 ),
inference(superposition,[],[f10,f8074]) ).
fof(f8632,plain,
( ~ member(u,universal_class)
| ~ spl5_516 ),
inference(forward_subsumption_resolution,[],[f8626,f945]) ).
fof(f8634,plain,
( $false
| ~ spl5_10
| ~ spl5_516 ),
inference(forward_subsumption_resolution,[],[f8632,f353]) ).
fof(f8635,plain,
( ~ spl5_10
| ~ spl5_516 ),
inference(avatar_contradiction_clause,[],[f8634]) ).
fof(f8968,plain,
( ! [X0] :
( ~ member(X0,v)
| member(X0,null_class)
| ~ member(X0,unordered_pair(v,u))
| null_class = unordered_pair(v,u) )
| ~ spl5_517 ),
inference(superposition,[],[f701,f8078]) ).
fof(f8973,plain,
( ! [X0] :
( ~ member(X0,v)
| member(X0,null_class)
| ~ member(X0,unordered_pair(v,u)) )
| spl5_516
| ~ spl5_517 ),
inference(forward_subsumption_resolution,[],[f8968,f8073]) ).
fof(f8974,plain,
( ! [X0] :
( ~ member(X0,unordered_pair(v,u))
| ~ member(X0,v) )
| spl5_516
| ~ spl5_517 ),
inference(forward_subsumption_resolution,[],[f8973,f945]) ).
fof(f8976,plain,
( ~ member(u,v)
| ~ member(u,universal_class)
| spl5_516
| ~ spl5_517 ),
inference(resolution,[],[f8974,f10]) ).
fof(f9009,plain,
( ~ member(u,v)
| spl5_516
| ~ spl5_517 ),
inference(forward_subsumption_resolution,[],[f8976,f5041]) ).
fof(f9024,plain,
( $false
| spl5_516
| ~ spl5_517 ),
inference(forward_subsumption_resolution,[],[f9009,f178]) ).
fof(f9025,plain,
( spl5_516
| ~ spl5_517 ),
inference(avatar_contradiction_clause,[],[f9024]) ).
cnf(s25,plain,
spl5_6,
inference(sat_conversion,[],[f649]) ).
cnf(s27,plain,
spl5_10,
inference(sat_conversion,[],[f661]) ).
cnf(s564,plain,
( ~ spl5_6
| spl5_516
| spl5_517 ),
inference(sat_conversion,[],[f8079]) ).
cnf(s603,plain,
( ~ spl5_10
| ~ spl5_516 ),
inference(sat_conversion,[],[f8635]) ).
cnf(s625,plain,
( spl5_516
| ~ spl5_517 ),
inference(sat_conversion,[],[f9025]) ).
cnf(s680,plain,
~ spl5_516,
inference(rat,[],[s603,s27]) ).
cnf(s681,plain,
~ spl5_517,
inference(rat,[],[s625,s680]) ).
cnf(s682,plain,
~ spl5_6,
inference(rat,[],[s564,s681,s680]) ).
cnf(s683,plain,
$false,
inference(rat,[],[s25,s682]) ).
fof(f9026,plain,
$false,
inference(avatar_sat_refutation,[],[s683]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM069-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n009.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 : Sun Sep 27 18:47:45 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.42 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
% 11.72/2.52 % (2329966)Input is clausal, will run a generic CNF schedule.
% 11.72/2.52 % (2329973)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3617249596:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 11.72/2.52 % (2329971)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=767468058:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 11.72/2.52 % (2329975)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1680498116:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 11.72/2.52 % (2329977)dis-21_1_sil=8000:lcm=predicate:random_seed=3592390901: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)
% 11.72/2.52 % (2329972)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3223834856:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 11.72/2.52 % (2329974)lrs+10_1_sil=8000:sp=occurrence:random_seed=2839032808:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 11.72/2.52 % (2329976)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4242438207:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 11.72/2.52 % (2329974)Instruction limit reached!
% 11.72/2.52 % (2329974)------------------------------
% 11.72/2.52 % (2329974)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.72/2.52 % (2329974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.72/2.52 % (2329974)CaDiCaL version: 2.1.3
% 11.72/2.52 % (2329974)Termination reason: Instruction limit
% 11.72/2.52 % (2329974)Termination phase: Saturation
% 11.72/2.52 % (2329974)Time elapsed: 0.061 s
% 11.72/2.52 % (2329974)Peak memory usage: 89 MB
% 11.72/2.52 % (2329974)Instructions burned: 109 (million)
% 11.72/2.52 % (2329977)Instruction limit reached!
% 11.72/2.52 % (2329977)------------------------------
% 11.72/2.52 % (2329977)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.72/2.52 % (2329977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.72/2.52 % (2329977)CaDiCaL version: 2.1.3
% 11.72/2.52 % (2329977)Termination reason: Instruction limit
% 11.72/2.52 % (2329977)Termination phase: Saturation
% 11.72/2.52 % (2329977)Time elapsed: 0.064 s
% 11.72/2.52 % (2329977)Peak memory usage: 89 MB
% 11.72/2.52 % (2329977)Instructions burned: 118 (million)
% 11.72/2.52 % (2329975)Instruction limit reached!
% 11.72/2.52 % (2329975)------------------------------
% 11.72/2.52 % (2329975)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.72/2.52 % (2329975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.72/2.52 % (2329975)CaDiCaL version: 2.1.3
% 11.72/2.52 % (2329975)Termination reason: Instruction limit
% 11.72/2.52 % (2329975)Termination phase: Saturation
% 11.72/2.52 % (2329975)Time elapsed: 0.067 s
% 11.72/2.52 % (2329975)Peak memory usage: 89 MB
% 11.72/2.52 % (2329975)Instructions burned: 116 (million)
% 11.72/2.52 % (2329976)Instruction limit reached!
% 11.72/2.52 % (2329976)------------------------------
% 11.72/2.52 % (2329976)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.72/2.52 % (2329976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.72/2.52 % (2329976)CaDiCaL version: 2.1.3
% 11.72/2.52 % (2329976)Termination reason: Instruction limit
% 11.72/2.52 % (2329976)Termination phase: Saturation
% 11.72/2.52 % (2329976)Time elapsed: 0.133 s
% 11.72/2.52 % (2329976)Peak memory usage: 90 MB
% 11.72/2.52 % (2329976)Instructions burned: 181 (million)
% 11.72/2.52 % (2329985)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=4165509838:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 11.72/2.52 % (2329987)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3697210258:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 11.72/2.52 % (2329986)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=986412910:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 11.72/2.52 % (2329987)Refutation not found, incomplete strategy
% 11.72/2.52 % (2329987)------------------------------
% 11.72/2.52 % (2329987)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.51/2.61 % (2329987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.51/2.61 % (2329987)CaDiCaL version: 2.1.3
% 10.51/2.61 % (2329987)Termination reason: Refutation not found, incomplete strategy
% 10.51/2.61 % (2329987)Time elapsed: 0.004 s
% 10.51/2.61 % (2329987)Peak memory usage: 87 MB
% 10.51/2.61 % (2329987)Instructions burned: 5 (million)
% 10.51/2.61 % (2329988)lrs+10_64_to=lpo:sil=8000:random_seed=372011769:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 10.51/2.61 % (2329986)Instruction limit reached!
% 10.51/2.61 % (2329986)------------------------------
% 10.51/2.61 % (2329986)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.51/2.61 % (2329986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.51/2.61 % (2329986)CaDiCaL version: 2.1.3
% 10.51/2.61 % (2329986)Termination reason: Instruction limit
% 10.51/2.61 % (2329986)Termination phase: Saturation
% 10.51/2.61 % (2329986)Time elapsed: 0.096 s
% 10.51/2.61 % (2329986)Peak memory usage: 90 MB
% 10.51/2.61 % (2329986)Instructions burned: 189 (million)
% 10.51/2.61 % (2329985)Instruction limit reached!
% 10.51/2.61 % (2329985)------------------------------
% 10.51/2.61 % (2329985)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.51/2.61 % (2329985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.51/2.61 % (2329985)CaDiCaL version: 2.1.3
% 10.51/2.61 % (2329985)Termination reason: Instruction limit
% 10.51/2.61 % (2329985)Termination phase: Saturation
% 10.51/2.61 % (2329985)Time elapsed: 0.099 s
% 10.51/2.61 % (2329985)Peak memory usage: 89 MB
% 10.51/2.61 % (2329985)Instructions burned: 144 (million)
% 10.51/2.61 % (2329988)Instruction limit reached!
% 10.51/2.61 % (2329988)------------------------------
% 10.51/2.61 % (2329988)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.51/2.61 % (2329988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.51/2.61 % (2329988)CaDiCaL version: 2.1.3
% 10.51/2.61 % (2329988)Termination reason: Instruction limit
% 10.51/2.61 % (2329988)Termination phase: Saturation
% 10.51/2.61 % (2329988)Time elapsed: 0.080 s
% 10.51/2.61 % (2329988)Peak memory usage: 89 MB
% 10.51/2.61 % (2329988)Instructions burned: 126 (million)
% 10.51/2.61 % (2329987)------------------------------
% 10.51/2.61 % (2329987)------------------------------
% 10.51/2.61 % (2329994)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3327310880:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 10.51/2.61 % (2329993)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=875848503:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 10.51/2.61 % (2329995)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=44793483:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 10.51/2.61 % (2329994)Instruction limit reached!
% 10.51/2.61 % (2329994)------------------------------
% 10.51/2.61 % (2329994)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.51/2.61 % (2329994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.51/2.61 % (2329994)CaDiCaL version: 2.1.3
% 10.51/2.61 % (2329994)Termination reason: Instruction limit
% 10.51/2.61 % (2329994)Termination phase: Saturation
% 10.51/2.61 % (2329994)Time elapsed: 0.108 s
% 10.51/2.61 % (2329994)Peak memory usage: 91 MB
% 10.51/2.61 % (2329994)Instructions burned: 157 (million)
% 10.51/2.61 % (2329993)Instruction limit reached!
% 10.51/2.61 % (2329993)------------------------------
% 10.51/2.61 % (2329993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.51/2.61 % (2329993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.51/2.61 % (2329993)CaDiCaL version: 2.1.3
% 10.51/2.61 % (2329993)Termination reason: Instruction limit
% 10.51/2.61 % (2329993)Termination phase: Saturation
% 10.51/2.61 % (2329993)Time elapsed: 0.114 s
% 10.51/2.61 % (2329993)Peak memory usage: 89 MB
% 10.51/2.61 % (2329993)Instructions burned: 194 (million)
% 10.51/2.61 % (2329996)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=3259855553:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 10.51/2.61 % (2329996)Instruction limit reached!
% 10.51/2.61 % (2329996)------------------------------
% 10.51/2.61 % (2329996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.51/2.61 % (2329996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.51/2.61 % (2329996)CaDiCaL version: 2.1.3
% 10.51/2.61 % (2329996)Termination reason: Instruction limit
% 10.51/2.61 % (2329996)Termination phase: Saturation
% 10.51/2.61 % (2329996)Time elapsed: 0.055 s
% 10.51/2.61 % (2329996)Peak memory usage: 89 MB
% 10.51/2.61 % (2329996)Instructions burned: 106 (million)
% 10.51/2.61 % (2330000)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1018722731:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 10.51/2.61 % (2330001)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3398450016:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 10.51/2.61 % (2330000)Instruction limit reached!
% 10.51/2.61 % (2330000)------------------------------
% 10.51/2.61 % (2330000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.51/2.61 % (2330000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.51/2.61 % (2330000)CaDiCaL version: 2.1.3
% 10.51/2.61 % (2330000)Termination reason: Instruction limit
% 10.51/2.61 % (2330000)Termination phase: Saturation
% 10.51/2.61 % (2330000)Time elapsed: 0.073 s
% 10.51/2.61 % (2330000)Peak memory usage: 89 MB
% 10.51/2.61 % (2330000)Instructions burned: 107 (million)
% 10.51/2.61 % (2330003)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=742092193:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 10.51/2.61 % (2330001)Instruction limit reached!
% 10.51/2.61 % (2330001)------------------------------
% 10.51/2.61 % (2330001)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.51/2.61 % (2330001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.51/2.61 % (2330001)CaDiCaL version: 2.1.3
% 10.51/2.61 % (2330001)Termination reason: Instruction limit
% 10.51/2.61 % (2330001)Termination phase: Saturation
% 10.51/2.61 % (2330001)Time elapsed: 0.159 s
% 10.51/2.61 % (2330001)Peak memory usage: 91 MB
% 10.51/2.61 % (2330001)Instructions burned: 242 (million)
% 10.51/2.61 % (2330006)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1205360410:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 10.51/2.61 % (2330006)Instruction limit reached!
% 10.51/2.61 % (2330006)------------------------------
% 10.51/2.61 % (2330006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.51/2.61 % (2330006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.51/2.61 % (2330006)CaDiCaL version: 2.1.3
% 10.51/2.61 % (2330006)Termination reason: Instruction limit
% 10.51/2.61 % (2330006)Termination phase: Saturation
% 10.51/2.61 % (2330006)Time elapsed: 0.087 s
% 10.51/2.61 % (2330006)Peak memory usage: 90 MB
% 10.51/2.61 % (2330006)Instructions burned: 135 (million)
% 10.51/2.61 % (2330008)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1000294387:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 10.51/2.61 % (2330010)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=4036171412:i=191:fgj=on:bd=all_2987 on theBenchmark for (2987ds/191Mi)
% 10.51/2.61 % (2329971)First to succeed.
% 10.51/2.61 % (2329971)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2329966"
% 10.51/2.61 % (2330010)Instruction limit reached!
% 10.51/2.61 % (2330010)------------------------------
% 10.51/2.61 % (2330010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.51/2.61 % (2330010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.51/2.61 % (2330010)CaDiCaL version: 2.1.3
% 10.51/2.61 % (2330010)Termination reason: Instruction limit
% 10.51/2.61 % (2330010)Termination phase: Saturation
% 10.51/2.61 % (2330010)Time elapsed: 0.123 s
% 10.51/2.61 % (2330010)Peak memory usage: 90 MB
% 10.51/2.61 % (2330010)Instructions burned: 191 (million)
% 10.51/2.61 % (2330008)Instruction limit reached!
% 10.51/2.61 % (2330008)------------------------------
% 10.51/2.61 % (2330008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.51/2.61 % (2330008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.51/2.61 % (2330008)CaDiCaL version: 2.1.3
% 10.51/2.61 % (2330008)Termination reason: Instruction limit
% 10.51/2.61 % (2330008)Termination phase: Saturation
% 10.51/2.61 % (2330008)Time elapsed: 0.267 s
% 10.51/2.61 % (2330008)Peak memory usage: 95 MB
% 10.51/2.61 % (2330008)Instructions burned: 500 (million)
% 10.51/2.61 % (2330013)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1423832777:i=264:kws=precedence:fsr=off_2984 on theBenchmark for (2984ds/264Mi)
% 10.51/2.61 % (2330014)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=471553372:cond=on:i=156:bs=on:gtg=exists_all:er=known_2984 on theBenchmark for (2984ds/156Mi)
% 10.51/2.61 % (2329971)Refutation found. Thanks to Tanya!
% 10.51/2.61 % SZS status Unsatisfiable for theBenchmark
% 10.51/2.61 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/2.81 % (2329971)------------------------------
% 0.16/2.81 % (2329971)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/2.81 % (2329971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/2.81 % (2329971)CaDiCaL version: 2.1.3
% 0.16/2.81 % (2329971)Termination reason: Refutation
% 0.16/2.81 % (2329971)Time elapsed: 1.318 s
% 0.16/2.81 % (2329971)Peak memory usage: 139 MB
% 0.16/2.81 % (2329971)Instructions burned: 1999 (million)
% 0.16/2.81 % (2329971)------------------------------
% 0.16/2.81 % (2329971)------------------------------
% 0.16/2.81 % (2329966)Success in time 1.758 s
% 0.16/2.81 % Vampire exiting
%------------------------------------------------------------------------------