%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM225-1 : 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 : 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 12:11:56 PM UTC 2026
% Result : Unsatisfiable 8.16s 2.12s
% Output : Refutation 9.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 22
% Syntax : Number of formulae : 80 ( 23 unt; 2 def)
% Number of atoms : 159 ( 38 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 150 ( 71 ~; 78 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 4 con; 0-3 aty)
% Number of variables : 103 ( 0 sgn 103 !; 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(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair2) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_set) ).
fof(f13,axiom,
! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordered_pair) ).
fof(f15,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product2) ).
fof(f16,axiom,
! [X2,X3,X0,X1] :
( ~ member(X0,X1)
| ~ member(X2,X3)
| member(ordered_pair(X0,X2),cross_product(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product3) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
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(f31,axiom,
! [X0,X1] :
( ~ member(X0,universal_class)
| restrict(X1,singleton(X0),universal_class) = null_class
| member(X0,domain_of(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain2) ).
fof(f32,plain,
! [X0,X1] :
( ~ member(X0,universal_class)
| null_class = restrict(X1,singleton(X0),universal_class)
| member(X0,domain_of(X1)) ),
inference(reorient_equations,[],[f31]) ).
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(f160,axiom,
subclass(rest_relation,cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rest_relation1) ).
fof(f162,axiom,
! [X0] :
( ~ member(X0,universal_class)
| member(ordered_pair(X0,rest_of(X0)),rest_relation) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rest_relation3) ).
fof(f176,negated_conjecture,
domain_of(rest_relation) != universal_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_rest_relation_property2_1) ).
fof(f177,plain,
universal_class != domain_of(rest_relation),
inference(reorient_equations,[],[f176]) ).
fof(f178,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
inference(definition_unfolding,[],[f13,f12,f12]) ).
fof(f196,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3))
| member(X1,X3) ),
inference(definition_unfolding,[],[f15,f178]) ).
fof(f197,plain,
! [X2,X3,X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2))),cross_product(X1,X3))
| ~ member(X2,X3)
| ~ member(X0,X1) ),
inference(definition_unfolding,[],[f16,f178]) ).
fof(f202,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(f203,plain,
! [X0,X1] :
( member(X0,domain_of(X1))
| null_class = intersection(X1,cross_product(unordered_pair(X0,X0),universal_class))
| ~ member(X0,universal_class) ),
inference(definition_unfolding,[],[f32,f28,f12]) ).
fof(f265,plain,
! [X0] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(rest_of(X0),rest_of(X0)))),rest_relation)
| ~ member(X0,universal_class) ),
inference(definition_unfolding,[],[f162,f178]) ).
fof(f274,definition,
sF0 = domain_of(rest_relation),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f275,plain,
domain_of(rest_relation) = sF0,
inference(reorient_equations,[],[f274]) ).
fof(f276,plain,
universal_class != sF0,
inference(definition_folding,[],[f177,f275]) ).
fof(f277,plain,
! [X0] :
( ~ subclass(universal_class,X0)
| universal_class = X0 ),
inference(resolution,[],[f7,f4]) ).
fof(f281,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f21,f2]) ).
fof(f288,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X0)
| subclass(intersection(X0,X1),X0) ),
inference(resolution,[],[f281,f3]) ).
fof(f292,plain,
! [X0,X1] : subclass(intersection(X0,X1),X0),
inference(duplicate_literal_removal,[],[f288]) ).
fof(f306,plain,
! [X2,X3,X0,X1] :
( ~ subclass(intersection(X2,X1),X3)
| ~ member(X0,X2)
| ~ member(X0,X1)
| member(X0,X3) ),
inference(resolution,[],[f23,f1]) ).
fof(f310,plain,
! [X2,X0,X1] :
( ~ member(X0,X2)
| ~ member(X0,X1)
| member(X0,universal_class) ),
inference(resolution,[],[f306,f4]) ).
fof(f311,plain,
! [X2,X0,X1] :
( ~ member(not_subclass_element(X0,X1),X2)
| member(not_subclass_element(X0,X1),universal_class)
| subclass(X0,X1) ),
inference(resolution,[],[f310,f2]) ).
fof(f317,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),universal_class)
| subclass(X0,X1)
| subclass(X0,X1) ),
inference(resolution,[],[f311,f2]) ).
fof(f325,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),universal_class)
| subclass(X0,X1) ),
inference(duplicate_literal_removal,[],[f317]) ).
fof(f333,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(rest_of(X0),rest_of(X0)))),X1)
| ~ subclass(rest_relation,X1)
| ~ member(X0,universal_class) ),
inference(resolution,[],[f265,f1]) ).
fof(f339,plain,
! [X0] :
( subclass(null_class,X0)
| null_class = X0 ),
inference(superposition,[],[f292,f70]) ).
fof(f350,plain,
! [X0,X1] :
( null_class = intersection(X0,cross_product(unordered_pair(not_subclass_element(X1,domain_of(X0)),not_subclass_element(X1,domain_of(X0))),universal_class))
| ~ member(not_subclass_element(X1,domain_of(X0)),universal_class)
| subclass(X1,domain_of(X0)) ),
inference(resolution,[],[f203,f3]) ).
fof(f353,plain,
! [X0,X1] :
( subclass(X1,domain_of(X0))
| null_class = intersection(X0,cross_product(unordered_pair(not_subclass_element(X1,domain_of(X0)),not_subclass_element(X1,domain_of(X0))),universal_class)) ),
inference(forward_subsumption_resolution,[],[f350,f325]) ).
fof(f356,plain,
! [X0] :
( null_class = X0
| ~ subclass(X0,null_class)
| null_class = X0 ),
inference(resolution,[],[f339,f7]) ).
fof(f357,plain,
! [X0] :
( ~ subclass(X0,null_class)
| null_class = X0 ),
inference(duplicate_literal_removal,[],[f356]) ).
fof(f358,plain,
! [X0] : null_class = intersection(null_class,X0),
inference(resolution,[],[f357,f292]) ).
fof(f362,plain,
! [X0] :
( null_class != null_class
| ~ member(X0,domain_of(null_class)) ),
inference(superposition,[],[f202,f358]) ).
fof(f373,plain,
! [X0] : ~ member(X0,domain_of(null_class)),
inference(trivial_inequality_removal,[],[f362]) ).
fof(f380,plain,
null_class = domain_of(null_class),
inference(resolution,[],[f373,f68]) ).
fof(f388,plain,
! [X0] : ~ member(X0,null_class),
inference(superposition,[],[f373,f380]) ).
fof(f461,plain,
! [X2,X0,X1] :
( ~ subclass(rest_relation,cross_product(X0,X1))
| ~ member(X2,universal_class)
| member(rest_of(X2),X1) ),
inference(resolution,[],[f333,f196]) ).
fof(f475,plain,
! [X0] :
( null_class = intersection(X0,cross_product(unordered_pair(not_subclass_element(universal_class,domain_of(X0)),not_subclass_element(universal_class,domain_of(X0))),universal_class))
| universal_class = domain_of(X0) ),
inference(resolution,[],[f353,f277]) ).
fof(f479,plain,
( null_class = intersection(rest_relation,cross_product(unordered_pair(not_subclass_element(universal_class,sF0),not_subclass_element(universal_class,sF0)),universal_class))
| universal_class = sF0 ),
inference(superposition,[],[f475,f275]) ).
fof(f495,plain,
null_class = intersection(rest_relation,cross_product(unordered_pair(not_subclass_element(universal_class,sF0),not_subclass_element(universal_class,sF0)),universal_class)),
inference(forward_subsumption_resolution,[],[f479,f276]) ).
fof(f507,plain,
! [X0] :
( member(X0,null_class)
| ~ member(X0,cross_product(unordered_pair(not_subclass_element(universal_class,sF0),not_subclass_element(universal_class,sF0)),universal_class))
| ~ member(X0,rest_relation) ),
inference(superposition,[],[f23,f495]) ).
fof(f515,plain,
! [X0] :
( ~ member(X0,cross_product(unordered_pair(not_subclass_element(universal_class,sF0),not_subclass_element(universal_class,sF0)),universal_class))
| ~ member(X0,rest_relation) ),
inference(forward_subsumption_resolution,[],[f507,f388]) ).
fof(f574,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),rest_relation)
| ~ member(X1,unordered_pair(not_subclass_element(universal_class,sF0),not_subclass_element(universal_class,sF0)))
| ~ member(X0,universal_class) ),
inference(resolution,[],[f197,f515]) ).
fof(f577,plain,
! [X0] :
( ~ member(X0,unordered_pair(not_subclass_element(universal_class,sF0),not_subclass_element(universal_class,sF0)))
| ~ member(rest_of(X0),universal_class)
| ~ member(X0,universal_class) ),
inference(resolution,[],[f574,f265]) ).
fof(f646,definition,
( spl1_19
<=> member(not_subclass_element(universal_class,sF0),universal_class) ),
introduced(definition,[new_symbols(definition,[spl1_19])],[avatar_definition]) ).
fof(f647,plain,
( member(not_subclass_element(universal_class,sF0),universal_class)
| ~ spl1_19 ),
inference(avatar_component_clause,[],[f646]) ).
fof(f648,plain,
( ~ member(not_subclass_element(universal_class,sF0),universal_class)
| spl1_19 ),
inference(avatar_component_clause,[],[f646]) ).
fof(f659,plain,
( subclass(universal_class,sF0)
| spl1_19 ),
inference(resolution,[],[f648,f2]) ).
fof(f663,plain,
( ~ subclass(sF0,universal_class)
| universal_class = sF0
| spl1_19 ),
inference(resolution,[],[f659,f7]) ).
fof(f664,plain,
( universal_class = sF0
| spl1_19 ),
inference(forward_subsumption_resolution,[],[f663,f4]) ).
fof(f667,plain,
( $false
| spl1_19 ),
inference(forward_subsumption_resolution,[],[f664,f276]) ).
fof(f668,plain,
spl1_19,
inference(avatar_contradiction_clause,[],[f667]) ).
fof(f1047,plain,
( ~ member(not_subclass_element(universal_class,sF0),universal_class)
| ~ member(rest_of(not_subclass_element(universal_class,sF0)),universal_class)
| ~ member(not_subclass_element(universal_class,sF0),universal_class) ),
inference(resolution,[],[f9,f577]) ).
fof(f1054,plain,
( ~ member(not_subclass_element(universal_class,sF0),universal_class)
| ~ member(rest_of(not_subclass_element(universal_class,sF0)),universal_class) ),
inference(duplicate_literal_removal,[],[f1047]) ).
fof(f1055,plain,
( ~ member(rest_of(not_subclass_element(universal_class,sF0)),universal_class)
| ~ spl1_19 ),
inference(forward_subsumption_resolution,[],[f1054,f647]) ).
fof(f1078,plain,
! [X0] :
( member(rest_of(X0),universal_class)
| ~ member(X0,universal_class) ),
inference(resolution,[],[f461,f160]) ).
fof(f1080,plain,
( ~ member(not_subclass_element(universal_class,sF0),universal_class)
| ~ spl1_19 ),
inference(resolution,[],[f1078,f1055]) ).
fof(f1085,plain,
( $false
| ~ spl1_19 ),
inference(forward_subsumption_resolution,[],[f1080,f647]) ).
fof(f1086,plain,
~ spl1_19,
inference(avatar_contradiction_clause,[],[f1085]) ).
cnf(s15,plain,
spl1_19,
inference(sat_conversion,[],[f668]) ).
cnf(s29,plain,
~ spl1_19,
inference(sat_conversion,[],[f1086]) ).
cnf(s34,plain,
$false,
inference(rat,[],[s15,s29]) ).
fof(f1089,plain,
$false,
inference(avatar_sat_refutation,[],[s34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM225-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.45 % Computer : n005.cluster.edu
% 0.12/0.45 % Model : x86_64 x86_64
% 0.12/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.45 % Memory : 8046.5625MB
% 0.12/0.45 % OS : Linux 6.8.0-71-generic
% 0.12/0.45 % CPULimit : 300
% 0.12/0.45 % WCLimit : 300
% 0.12/0.45 % DateTime : Sun Sep 27 19:13:47 UTC 2026
% 0.12/0.46 % CPUTime :
% 0.12/0.46 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.48 Running first-order theorem proving
% 0.16/0.48 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
% 8.16/2.12 % (108789)Input is clausal, will run a generic CNF schedule.
% 8.16/2.12 % (108796)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=129494248:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 8.16/2.12 % (108795)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3929010225:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 8.16/2.12 % (108797)lrs+10_1_sil=8000:sp=occurrence:random_seed=3137835887:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 8.16/2.12 % (108800)dis-21_1_sil=8000:lcm=predicate:random_seed=3799356862: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)
% 8.16/2.12 % (108798)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3503879116:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 8.16/2.12 % (108794)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=2790145635:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 8.16/2.12 % (108797)Refutation not found, incomplete strategy
% 8.16/2.12 % (108797)------------------------------
% 8.16/2.12 % (108797)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.16/2.12 % (108797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/2.12 % (108797)CaDiCaL version: 2.1.3
% 8.16/2.12 % (108797)Termination reason: Refutation not found, incomplete strategy
% 8.16/2.12 % (108797)Time elapsed: 0.007 s
% 8.16/2.12 % (108797)Peak memory usage: 88 MB
% 8.16/2.12 % (108797)Instructions burned: 8 (million)
% 8.16/2.12 % (108799)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1940358300:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 8.16/2.12 % (108798)Instruction limit reached!
% 8.16/2.12 % (108798)------------------------------
% 8.16/2.12 % (108798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.16/2.12 % (108798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/2.12 % (108798)CaDiCaL version: 2.1.3
% 8.16/2.12 % (108798)Termination reason: Instruction limit
% 8.16/2.12 % (108798)Termination phase: Saturation
% 8.16/2.12 % (108798)Time elapsed: 0.071 s
% 8.16/2.12 % (108798)Peak memory usage: 89 MB
% 8.16/2.12 % (108798)Instructions burned: 116 (million)
% 8.16/2.12 % (108800)Instruction limit reached!
% 8.16/2.12 % (108800)------------------------------
% 8.16/2.12 % (108800)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.16/2.12 % (108800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/2.12 % (108800)CaDiCaL version: 2.1.3
% 8.16/2.12 % (108800)Termination reason: Instruction limit
% 8.16/2.12 % (108800)Termination phase: Saturation
% 8.16/2.12 % (108800)Time elapsed: 0.074 s
% 8.16/2.12 % (108800)Peak memory usage: 89 MB
% 8.16/2.12 % (108800)Instructions burned: 117 (million)
% 8.16/2.12 % (108799)Instruction limit reached!
% 8.16/2.12 % (108799)------------------------------
% 8.16/2.12 % (108799)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.16/2.12 % (108799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/2.12 % (108799)CaDiCaL version: 2.1.3
% 8.16/2.12 % (108799)Termination reason: Instruction limit
% 8.16/2.12 % (108799)Termination phase: Saturation
% 8.16/2.12 % (108799)Time elapsed: 0.136 s
% 8.16/2.12 % (108799)Peak memory usage: 91 MB
% 8.16/2.12 % (108799)Instructions burned: 181 (million)
% 8.16/2.12 % (108808)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=2079260070:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 8.16/2.12 % (108809)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1857639645: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)
% 8.16/2.12 % (108808)Refutation not found, incomplete strategy
% 8.16/2.12 % (108808)------------------------------
% 8.16/2.12 % (108808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.16/2.12 % (108808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/2.12 % (108808)CaDiCaL version: 2.1.3
% 8.16/2.12 % (108808)Termination reason: Refutation not found, incomplete strategy
% 8.16/2.12 % (108808)Time elapsed: 0.002 s
% 8.16/2.12 % (108808)Peak memory usage: 88 MB
% 8.16/2.12 % (108808)Instructions burned: 1 (million)
% 8.16/2.12 % (108797)------------------------------
% 8.16/2.12 % (108797)------------------------------
% 8.16/2.12 % (108810)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=4283657052:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 8.16/2.12 % (108809)Instruction limit reached!
% 8.16/2.12 % (108809)------------------------------
% 8.16/2.12 % (108809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.16/2.12 % (108809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/2.12 % (108809)CaDiCaL version: 2.1.3
% 8.16/2.12 % (108809)Termination reason: Instruction limit
% 8.16/2.12 % (108809)Termination phase: Saturation
% 8.16/2.12 % (108809)Time elapsed: 0.108 s
% 8.16/2.12 % (108809)Peak memory usage: 90 MB
% 8.16/2.12 % (108809)Instructions burned: 190 (million)
% 8.16/2.12 % (108813)lrs+10_64_to=lpo:sil=8000:random_seed=1902901637:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 8.16/2.12 % (108810)Instruction limit reached!
% 8.16/2.12 % (108810)------------------------------
% 8.16/2.12 % (108810)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.16/2.12 % (108810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/2.12 % (108810)CaDiCaL version: 2.1.3
% 8.16/2.12 % (108810)Termination reason: Instruction limit
% 8.16/2.12 % (108810)Termination phase: Saturation
% 8.16/2.12 % (108810)Time elapsed: 0.130 s
% 8.16/2.12 % (108810)Peak memory usage: 89 MB
% 8.16/2.12 % (108810)Instructions burned: 219 (million)
% 8.16/2.12 % (108808)------------------------------
% 8.16/2.12 % (108808)------------------------------
% 8.16/2.12 % (108815)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3758959464:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 8.16/2.12 % (108813)Instruction limit reached!
% 8.16/2.12 % (108813)------------------------------
% 8.16/2.12 % (108813)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.16/2.12 % (108813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/2.12 % (108813)CaDiCaL version: 2.1.3
% 8.16/2.12 % (108813)Termination reason: Instruction limit
% 8.16/2.12 % (108813)Termination phase: Saturation
% 8.16/2.12 % (108813)Time elapsed: 0.082 s
% 8.16/2.12 % (108813)Peak memory usage: 89 MB
% 8.16/2.12 % (108813)Instructions burned: 127 (million)
% 8.16/2.12 % (108817)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=723949567:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 8.16/2.12 % (108815)Instruction limit reached!
% 8.16/2.12 % (108815)------------------------------
% 8.16/2.12 % (108815)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.16/2.12 % (108815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/2.12 % (108815)CaDiCaL version: 2.1.3
% 8.16/2.12 % (108815)Termination reason: Instruction limit
% 8.16/2.12 % (108815)Termination phase: Saturation
% 8.16/2.12 % (108815)Time elapsed: 0.118 s
% 8.16/2.12 % (108815)Peak memory usage: 90 MB
% 8.16/2.12 % (108815)Instructions burned: 194 (million)
% 8.16/2.12 % (108818)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3413254900:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 8.16/2.12 % (108820)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=2839457265:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 8.16/2.12 % (108820)Instruction limit reached!
% 8.16/2.12 % (108820)------------------------------
% 8.16/2.12 % (108820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.16/2.12 % (108820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/2.12 % (108820)CaDiCaL version: 2.1.3
% 8.16/2.12 % (108820)Termination reason: Instruction limit
% 8.16/2.12 % (108820)Termination phase: Saturation
% 8.16/2.12 % (108820)Time elapsed: 0.062 s
% 8.16/2.12 % (108820)Peak memory usage: 89 MB
% 8.16/2.12 % (108820)Instructions burned: 107 (million)
% 8.16/2.12 % (108817)Instruction limit reached!
% 8.16/2.12 % (108817)------------------------------
% 8.16/2.12 % (108817)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.16/2.12 % (108817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/2.12 % (108817)CaDiCaL version: 2.1.3
% 8.16/2.12 % (108817)Termination reason: Instruction limit
% 8.16/2.12 % (108817)Termination phase: Saturation
% 8.16/2.12 % (108817)Time elapsed: 0.110 s
% 8.16/2.12 % (108817)Peak memory usage: 91 MB
% 8.16/2.12 % (108817)Instructions burned: 158 (million)
% 8.16/2.12 % (108794)First to succeed.
% 8.16/2.12 % (108794)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-108789"
% 8.16/2.12 % (108822)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3980085327:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 8.16/2.12 % (108822)Refutation not found, incomplete strategy
% 8.16/2.12 % (108822)------------------------------
% 8.16/2.12 % (108822)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.16/2.12 % (108822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/2.12 % (108822)CaDiCaL version: 2.1.3
% 8.16/2.12 % (108822)Termination reason: Refutation not found, incomplete strategy
% 8.16/2.12 % (108822)Time elapsed: 0.007 s
% 8.16/2.12 % (108822)Peak memory usage: 88 MB
% 8.16/2.12 % (108822)Instructions burned: 10 (million)
% 8.16/2.12 % (108825)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3967994917:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 8.16/2.12 % (108826)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2321479799:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 8.16/2.12 % (108794)Refutation found. Thanks to Tanya!
% 8.16/2.12 % SZS status Unsatisfiable for theBenchmark
% 8.16/2.12 % SZS output start Proof for theBenchmark
% See solution above
% 9.04/2.32 % (108794)------------------------------
% 9.04/2.32 % (108794)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.04/2.32 % (108794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.04/2.32 % (108794)CaDiCaL version: 2.1.3
% 9.04/2.32 % (108794)Termination reason: Refutation
% 9.04/2.32 % (108794)Time elapsed: 0.763 s
% 9.04/2.32 % (108794)Peak memory usage: 130 MB
% 9.04/2.32 % (108794)Instructions burned: 1149 (million)
% 9.04/2.32 % (108794)------------------------------
% 9.04/2.32 % (108794)------------------------------
% 9.04/2.32 % (108789)Success in time 1.192 s
% 9.04/2.32 % Vampire exiting
%------------------------------------------------------------------------------