%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET511-6 : 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 : n002.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 12:41:04 PM UTC 2026
% Result : Unsatisfiable 6.02s 1.78s
% Output : Refutation 7.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 25
% Syntax : Number of formulae : 99 ( 32 unt; 10 def)
% Number of atoms : 201 ( 69 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 175 ( 73 ~; 98 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 9 con; 0-3 aty)
% Number of variables : 69 ( 0 sgn 69 !; 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(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(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(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(f122,negated_conjecture,
unordered_pair(singleton(x),unordered_pair(x,null_class)) != ordered_pair(x,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_1_to_property_1_of_ordered_pair_1) ).
fof(f127,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(f143,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(f185,plain,
unordered_pair(unordered_pair(x,x),unordered_pair(x,null_class)) != unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(universal_class,universal_class))),
inference(definition_unfolding,[],[f122,f12,f127]) ).
fof(f190,definition,
sF0 = unordered_pair(x,x),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f191,plain,
unordered_pair(x,x) = sF0,
inference(reorient_equations,[],[f190]) ).
fof(f192,definition,
sF1 = unordered_pair(x,null_class),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f193,plain,
unordered_pair(x,null_class) = sF1,
inference(reorient_equations,[],[f192]) ).
fof(f194,definition,
sF2 = unordered_pair(sF0,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f195,plain,
unordered_pair(sF0,sF1) = sF2,
inference(reorient_equations,[],[f194]) ).
fof(f196,definition,
sF3 = unordered_pair(universal_class,universal_class),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f197,plain,
unordered_pair(universal_class,universal_class) = sF3,
inference(reorient_equations,[],[f196]) ).
fof(f198,definition,
sF4 = unordered_pair(x,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f199,plain,
unordered_pair(x,sF3) = sF4,
inference(reorient_equations,[],[f198]) ).
fof(f200,definition,
sF5 = unordered_pair(sF0,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f201,plain,
unordered_pair(sF0,sF4) = sF5,
inference(reorient_equations,[],[f200]) ).
fof(f202,plain,
sF2 != sF5,
inference(definition_folding,[],[f185,f201,f199,f197,f191,f195,f193,f191]) ).
fof(f210,definition,
( spl6_1
<=> member(universal_class,universal_class) ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
fof(f211,plain,
( member(universal_class,universal_class)
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f212,plain,
( ~ member(universal_class,universal_class)
| spl6_1 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f214,definition,
( spl6_2
<=> member(universal_class,sF3) ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
fof(f216,plain,
( member(universal_class,sF3)
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f300,plain,
! [X0] :
( ~ member(X0,sF3)
| universal_class = X0
| universal_class = X0 ),
inference(superposition,[],[f8,f197]) ).
fof(f301,plain,
! [X0] :
( ~ member(X0,sF3)
| universal_class = X0 ),
inference(duplicate_literal_removal,[],[f300]) ).
fof(f333,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(f335,plain,
( null_class = sF3
| universal_class = regular(sF3) ),
inference(resolution,[],[f68,f301]) ).
fof(f337,definition,
( spl6_18
<=> universal_class = regular(sF3) ),
introduced(definition,[new_symbols(definition,[spl6_18])],[avatar_definition]) ).
fof(f339,plain,
( universal_class = regular(sF3)
| ~ spl6_18 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f341,definition,
( spl6_19
<=> null_class = sF3 ),
introduced(definition,[new_symbols(definition,[spl6_19])],[avatar_definition]) ).
fof(f342,plain,
( null_class != sF3
| spl6_19 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f343,plain,
( null_class = sF3
| ~ spl6_19 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f344,plain,
( spl6_18
| spl6_19 ),
inference(avatar_split_clause,[],[f335,f341,f337]) ).
fof(f370,plain,
! [X0,X1] :
( X0 != X1
| regular(unordered_pair(X0,X1)) = X0
| unordered_pair(X0,X1) = null_class ),
inference(equality_factoring,[],[f333]) ).
fof(f450,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f21,f2]) ).
fof(f474,plain,
! [X0] :
( regular(unordered_pair(X0,X0)) = X0
| unordered_pair(X0,X0) = null_class ),
inference(equality_resolution,[],[f370]) ).
fof(f569,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X0)
| subclass(intersection(X0,X1),X0) ),
inference(resolution,[],[f450,f3]) ).
fof(f581,plain,
! [X0,X1] : subclass(intersection(X0,X1),X0),
inference(duplicate_literal_removal,[],[f569]) ).
fof(f646,plain,
! [X0] :
( subclass(null_class,X0)
| null_class = X0 ),
inference(superposition,[],[f581,f70]) ).
fof(f659,plain,
! [X2,X3,X0,X1] :
( ~ subclass(intersection(X2,X1),X3)
| ~ member(X0,X2)
| ~ member(X0,X1)
| member(X0,X3) ),
inference(resolution,[],[f23,f1]) ).
fof(f715,plain,
! [X2,X0,X1] :
( ~ member(X0,X2)
| ~ member(X0,X1)
| member(X0,universal_class) ),
inference(resolution,[],[f659,f4]) ).
fof(f1041,plain,
( sF1 = unordered_pair(x,sF3)
| ~ spl6_19 ),
inference(superposition,[],[f193,f343]) ).
fof(f1042,plain,
( sF1 = sF4
| ~ spl6_19 ),
inference(forward_demodulation,[],[f1041,f199]) ).
fof(f1084,plain,
( unordered_pair(sF0,sF1) = sF5
| ~ spl6_19 ),
inference(superposition,[],[f201,f1042]) ).
fof(f1099,plain,
( sF2 = sF5
| ~ spl6_19 ),
inference(forward_demodulation,[],[f1084,f195]) ).
fof(f1118,plain,
( $false
| ~ spl6_19 ),
inference(forward_subsumption_resolution,[],[f1099,f202]) ).
fof(f1119,plain,
~ spl6_19,
inference(avatar_contradiction_clause,[],[f1118]) ).
fof(f1154,plain,
! [X0] :
( member(X0,unordered_pair(X0,X0))
| unordered_pair(X0,X0) = null_class
| unordered_pair(X0,X0) = null_class ),
inference(superposition,[],[f68,f474]) ).
fof(f1157,plain,
! [X0] :
( member(X0,unordered_pair(X0,X0))
| unordered_pair(X0,X0) = null_class ),
inference(duplicate_literal_removal,[],[f1154]) ).
fof(f1183,plain,
! [X0] :
( null_class = X0
| ~ subclass(X0,null_class)
| null_class = X0 ),
inference(resolution,[],[f646,f7]) ).
fof(f1186,plain,
! [X0] :
( ~ subclass(X0,null_class)
| null_class = X0 ),
inference(duplicate_literal_removal,[],[f1183]) ).
fof(f1198,plain,
! [X0] : null_class = intersection(null_class,X0),
inference(resolution,[],[f1186,f581]) ).
fof(f1222,plain,
! [X0] :
( null_class != null_class
| ~ member(X0,domain_of(null_class)) ),
inference(superposition,[],[f143,f1198]) ).
fof(f1223,plain,
! [X0] : ~ member(X0,domain_of(null_class)),
inference(trivial_inequality_removal,[],[f1222]) ).
fof(f1274,plain,
null_class = domain_of(null_class),
inference(resolution,[],[f1223,f68]) ).
fof(f1281,plain,
! [X0] : ~ member(X0,null_class),
inference(superposition,[],[f1223,f1274]) ).
fof(f1307,plain,
( member(universal_class,sF3)
| null_class = sF3 ),
inference(superposition,[],[f1157,f197]) ).
fof(f1309,plain,
( member(universal_class,sF3)
| spl6_19 ),
inference(forward_subsumption_resolution,[],[f1307,f342]) ).
fof(f1310,plain,
( spl6_2
| spl6_19 ),
inference(avatar_split_clause,[],[f1309,f341,f214]) ).
fof(f1312,plain,
( ! [X0] :
( ~ member(universal_class,X0)
| member(universal_class,universal_class) )
| ~ spl6_2 ),
inference(resolution,[],[f216,f715]) ).
fof(f1315,plain,
( ! [X0] : ~ member(universal_class,X0)
| spl6_1
| ~ spl6_2 ),
inference(forward_subsumption_resolution,[],[f1312,f212]) ).
fof(f1318,plain,
( null_class = unordered_pair(universal_class,universal_class)
| spl6_1
| ~ spl6_2 ),
inference(resolution,[],[f1315,f1157]) ).
fof(f1323,plain,
( null_class = sF3
| spl6_1
| ~ spl6_2 ),
inference(forward_demodulation,[],[f1318,f197]) ).
fof(f1324,plain,
( $false
| spl6_1
| ~ spl6_2
| spl6_19 ),
inference(forward_subsumption_resolution,[],[f1323,f342]) ).
fof(f1325,plain,
( spl6_1
| ~ spl6_2
| spl6_19 ),
inference(avatar_contradiction_clause,[],[f1324]) ).
fof(f1345,plain,
( null_class = intersection(sF3,universal_class)
| null_class = sF3
| ~ spl6_18 ),
inference(superposition,[],[f70,f339]) ).
fof(f1346,plain,
( null_class = intersection(sF3,universal_class)
| ~ spl6_18
| spl6_19 ),
inference(forward_subsumption_resolution,[],[f1345,f342]) ).
fof(f1349,plain,
( ! [X0] :
( member(X0,null_class)
| ~ member(X0,universal_class)
| ~ member(X0,sF3) )
| ~ spl6_18
| spl6_19 ),
inference(superposition,[],[f23,f1346]) ).
fof(f1356,plain,
( ! [X0] :
( ~ member(X0,sF3)
| ~ member(X0,universal_class) )
| ~ spl6_18
| spl6_19 ),
inference(forward_subsumption_resolution,[],[f1349,f1281]) ).
fof(f1360,plain,
( ~ member(regular(sF3),universal_class)
| null_class = sF3
| ~ spl6_18
| spl6_19 ),
inference(resolution,[],[f1356,f68]) ).
fof(f1366,plain,
( ~ member(regular(sF3),universal_class)
| ~ spl6_18
| spl6_19 ),
inference(forward_subsumption_resolution,[],[f1360,f342]) ).
fof(f1371,plain,
( ~ member(universal_class,universal_class)
| ~ spl6_18
| spl6_19 ),
inference(forward_demodulation,[],[f1366,f339]) ).
fof(f1372,plain,
( $false
| ~ spl6_1
| ~ spl6_18
| spl6_19 ),
inference(forward_subsumption_resolution,[],[f1371,f211]) ).
fof(f1373,plain,
( ~ spl6_1
| ~ spl6_18
| spl6_19 ),
inference(avatar_contradiction_clause,[],[f1372]) ).
cnf(s15,plain,
( spl6_18
| spl6_19 ),
inference(sat_conversion,[],[f344]) ).
cnf(s47,plain,
~ spl6_19,
inference(sat_conversion,[],[f1119]) ).
cnf(s58,plain,
( spl6_2
| spl6_19 ),
inference(sat_conversion,[],[f1310]) ).
cnf(s61,plain,
( spl6_1
| ~ spl6_2
| spl6_19 ),
inference(sat_conversion,[],[f1325]) ).
cnf(s63,plain,
( ~ spl6_1
| ~ spl6_18
| spl6_19 ),
inference(sat_conversion,[],[f1373]) ).
cnf(s64,plain,
spl6_2,
inference(rat,[],[s58,s47]) ).
cnf(s65,plain,
spl6_1,
inference(rat,[],[s61,s47,s64]) ).
cnf(s67,plain,
~ spl6_18,
inference(rat,[],[s63,s47,s65]) ).
cnf(s72,plain,
$false,
inference(rat,[],[s15,s47,s67]) ).
fof(f1374,plain,
$false,
inference(avatar_sat_refutation,[],[s72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET511-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.35 % Computer : n002.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 28 02:03:52 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 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
% 6.02/1.78 % (4084537)Input is clausal, will run a generic CNF schedule.
% 6.02/1.78 % (4084542)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=3178002116:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.02/1.78 % (4084546)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1036702652:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.02/1.78 % (4084545)lrs+10_1_sil=8000:sp=occurrence:random_seed=6974240:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.02/1.78 % (4084543)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2691763847:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.02/1.78 % (4084548)dis-21_1_sil=8000:lcm=predicate:random_seed=3228656735: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)
% 6.02/1.78 % (4084544)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2937052554:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.02/1.78 % (4084547)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2720058075:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.02/1.78 % (4084545)Refutation not found, incomplete strategy
% 6.02/1.78 % (4084545)------------------------------
% 6.02/1.78 % (4084545)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.02/1.78 % (4084545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.02/1.78 % (4084545)CaDiCaL version: 2.1.3
% 6.02/1.78 % (4084545)Termination reason: Refutation not found, incomplete strategy
% 6.02/1.78 % (4084545)Time elapsed: 0.002 s
% 6.02/1.78 % (4084545)Peak memory usage: 88 MB
% 6.02/1.78 % (4084545)Instructions burned: 1 (million)
% 6.02/1.78 % (4084546)Instruction limit reached!
% 6.02/1.78 % (4084546)------------------------------
% 6.02/1.78 % (4084546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.02/1.78 % (4084546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.02/1.78 % (4084546)CaDiCaL version: 2.1.3
% 6.02/1.78 % (4084546)Termination reason: Instruction limit
% 6.02/1.78 % (4084546)Termination phase: Saturation
% 6.02/1.78 % (4084546)Time elapsed: 0.066 s
% 6.02/1.78 % (4084546)Peak memory usage: 88 MB
% 6.02/1.78 % (4084546)Instructions burned: 115 (million)
% 6.02/1.78 % (4084548)Instruction limit reached!
% 6.02/1.78 % (4084548)------------------------------
% 6.02/1.78 % (4084548)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.02/1.78 % (4084548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.02/1.78 % (4084548)CaDiCaL version: 2.1.3
% 6.02/1.78 % (4084548)Termination reason: Instruction limit
% 6.02/1.78 % (4084548)Termination phase: Saturation
% 6.02/1.78 % (4084548)Time elapsed: 0.068 s
% 6.02/1.78 % (4084548)Peak memory usage: 89 MB
% 6.02/1.78 % (4084548)Instructions burned: 118 (million)
% 6.02/1.78 % (4084547)Instruction limit reached!
% 6.02/1.78 % (4084547)------------------------------
% 6.02/1.78 % (4084547)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.02/1.78 % (4084547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.02/1.78 % (4084547)CaDiCaL version: 2.1.3
% 6.02/1.78 % (4084547)Termination reason: Instruction limit
% 6.02/1.78 % (4084547)Termination phase: Saturation
% 6.02/1.78 % (4084547)Time elapsed: 0.137 s
% 6.02/1.78 % (4084547)Peak memory usage: 90 MB
% 6.02/1.78 % (4084547)Instructions burned: 181 (million)
% 6.02/1.78 % (4084557)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=580414585: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)
% 6.02/1.78 % (4084556)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=3776285986:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.02/1.78 % (4084556)Refutation not found, incomplete strategy
% 6.02/1.78 % (4084556)------------------------------
% 6.02/1.78 % (4084556)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.02/1.78 % (4084556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.02/1.78 % (4084556)CaDiCaL version: 2.1.3
% 6.02/1.78 % (4084556)Termination reason: Refutation not found, incomplete strategy
% 6.02/1.78 % (4084556)Time elapsed: 0.003 s
% 6.02/1.78 % (4084556)Peak memory usage: 87 MB
% 6.02/1.78 % (4084556)Instructions burned: 3 (million)
% 6.02/1.78 % (4084545)------------------------------
% 6.02/1.78 % (4084545)------------------------------
% 6.02/1.78 % (4084558)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=4071150554:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 6.02/1.78 % (4084558)Refutation not found, incomplete strategy
% 6.02/1.78 % (4084558)------------------------------
% 6.02/1.78 % (4084558)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.02/1.78 % (4084558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.02/1.78 % (4084558)CaDiCaL version: 2.1.3
% 6.02/1.78 % (4084558)Termination reason: Refutation not found, incomplete strategy
% 6.02/1.78 % (4084558)Time elapsed: 0.003 s
% 6.02/1.78 % (4084558)Peak memory usage: 88 MB
% 6.02/1.78 % (4084558)Instructions burned: 4 (million)
% 6.02/1.78 % (4084557)Instruction limit reached!
% 6.02/1.78 % (4084557)------------------------------
% 6.02/1.78 % (4084557)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.02/1.78 % (4084557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.02/1.78 % (4084557)CaDiCaL version: 2.1.3
% 6.02/1.78 % (4084557)Termination reason: Instruction limit
% 6.02/1.78 % (4084557)Termination phase: Saturation
% 6.02/1.78 % (4084557)Time elapsed: 0.110 s
% 6.02/1.78 % (4084557)Peak memory usage: 91 MB
% 6.02/1.78 % (4084557)Instructions burned: 190 (million)
% 6.02/1.78 % (4084542)First to succeed.
% 6.02/1.78 % (4084542)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4084537"
% 6.02/1.78 % (4084561)lrs+10_64_to=lpo:sil=8000:random_seed=4085179405:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 6.02/1.78 % (4084556)------------------------------
% 6.02/1.78 % (4084556)------------------------------
% 6.02/1.78 % (4084561)Instruction limit reached!
% 6.02/1.78 % (4084561)------------------------------
% 6.02/1.78 % (4084561)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.02/1.78 % (4084561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.02/1.78 % (4084561)CaDiCaL version: 2.1.3
% 6.02/1.78 % (4084561)Termination reason: Instruction limit
% 6.02/1.78 % (4084561)Termination phase: Saturation
% 6.02/1.78 % (4084561)Time elapsed: 0.080 s
% 6.02/1.78 % (4084561)Peak memory usage: 89 MB
% 6.02/1.78 % (4084561)Instructions burned: 126 (million)
% 6.02/1.78 % (4084563)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3593575270:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 6.02/1.78 % (4084558)------------------------------
% 6.02/1.78 % (4084558)------------------------------
% 6.02/1.78 % (4084565)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1249971372:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 6.02/1.78 % (4084563)Instruction limit reached!
% 6.02/1.78 % (4084563)------------------------------
% 6.02/1.78 % (4084563)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.02/1.78 % (4084563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.02/1.78 % (4084563)CaDiCaL version: 2.1.3
% 6.02/1.78 % (4084563)Termination reason: Instruction limit
% 6.02/1.78 % (4084563)Termination phase: Saturation
% 6.02/1.78 % (4084563)Time elapsed: 0.126 s
% 6.02/1.78 % (4084563)Peak memory usage: 89 MB
% 6.02/1.78 % (4084563)Instructions burned: 194 (million)
% 6.02/1.78 % (4084566)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1108954080:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 6.02/1.78 % (4084565)Instruction limit reached!
% 6.02/1.78 % (4084565)------------------------------
% 6.02/1.78 % (4084565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.02/1.78 % (4084565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.02/1.78 % (4084565)CaDiCaL version: 2.1.3
% 6.02/1.78 % (4084565)Termination reason: Instruction limit
% 6.02/1.78 % (4084565)Termination phase: Saturation
% 6.02/1.78 % (4084565)Time elapsed: 0.060 s
% 6.02/1.78 % (4084565)Peak memory usage: 91 MB
% 6.02/1.78 % (4084565)Instructions burned: 158 (million)
% 6.02/1.78 % (4084568)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=1906974769:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2992 on theBenchmark for (2992ds/106Mi)
% 6.02/1.78 % (4084568)Instruction limit reached!
% 6.02/1.78 % (4084568)------------------------------
% 6.02/1.78 % (4084568)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.02/1.78 % (4084568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.02/1.78 % (4084568)CaDiCaL version: 2.1.3
% 6.02/1.78 % (4084568)Termination reason: Instruction limit
% 6.02/1.78 % (4084568)Termination phase: Saturation
% 6.02/1.78 % (4084568)Time elapsed: 0.052 s
% 6.02/1.78 % (4084568)Peak memory usage: 93 MB
% 6.02/1.78 % (4084568)Instructions burned: 106 (million)
% 6.02/1.78 % (4084542)Refutation found. Thanks to Tanya!
% 6.02/1.78 % SZS status Unsatisfiable for theBenchmark
% 6.02/1.78 % SZS output start Proof for theBenchmark
% See solution above
% 7.11/1.94 % (4084542)------------------------------
% 7.11/1.94 % (4084542)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.11/1.94 % (4084542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.11/1.94 % (4084542)CaDiCaL version: 2.1.3
% 7.11/1.94 % (4084542)Termination reason: Refutation
% 7.11/1.94 % (4084542)Time elapsed: 0.457 s
% 7.11/1.94 % (4084542)Peak memory usage: 131 MB
% 7.11/1.94 % (4084542)Instructions burned: 1142 (million)
% 7.11/1.94 % (4084542)------------------------------
% 7.11/1.94 % (4084542)------------------------------
% 7.11/1.94 % (4084537)Success in time 0.948 s
% 7.11/1.94 % Vampire exiting
%------------------------------------------------------------------------------