%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET349-6 : 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 : 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 12:40:49 PM UTC 2026
% Result : Unsatisfiable 9.13s 2.19s
% Output : Refutation 9.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 24
% Syntax : Number of formulae : 90 ( 28 unt; 7 def)
% Number of atoms : 174 ( 53 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 168 ( 84 ~; 81 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 7 con; 0-3 aty)
% Number of variables : 100 ( 0 sgn 100 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',unordered_pair_member) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cartesian_product2) ).
fof(f17,axiom,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| ordered_pair(first(X0),second(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product4) ).
fof(f19,axiom,
! [X0,X1] :
( ~ member(ordered_pair(X0,X1),element_relation)
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_relation2) ).
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(f28,axiom,
! [X2,X0,X1] : intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',domain1) ).
fof(f54,axiom,
! [X0] : domain_of(restrict(element_relation,universal_class,X0)) = sum_class(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_class_definition) ).
fof(f67,axiom,
! [X0] :
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox2/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/sandbox2/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,
sum_class(singleton(null_class)) != null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_sum_class_of_singleton_null_1) ).
fof(f123,plain,
null_class != sum_class(singleton(null_class)),
inference(reorient_equations,[],[f122]) ).
fof(f124,plain,
! [X0] : sum_class(X0) = domain_of(intersection(element_relation,cross_product(universal_class,X0))),
inference(definition_unfolding,[],[f54,f28]) ).
fof(f128,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(f138,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,f128]) ).
fof(f140,plain,
! [X2,X0,X1] :
( unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))) = X0
| ~ member(X0,cross_product(X1,X2)) ),
inference(definition_unfolding,[],[f17,f128]) ).
fof(f141,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),element_relation)
| member(X0,X1) ),
inference(definition_unfolding,[],[f19,f128]) ).
fof(f144,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(f186,plain,
null_class != domain_of(intersection(element_relation,cross_product(universal_class,unordered_pair(null_class,null_class)))),
inference(definition_unfolding,[],[f123,f124,f12]) ).
fof(f191,definition,
sF0 = unordered_pair(null_class,null_class),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f192,plain,
unordered_pair(null_class,null_class) = sF0,
inference(reorient_equations,[],[f191]) ).
fof(f193,definition,
sF1 = cross_product(universal_class,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f194,plain,
cross_product(universal_class,sF0) = sF1,
inference(reorient_equations,[],[f193]) ).
fof(f195,definition,
sF2 = intersection(element_relation,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f196,plain,
intersection(element_relation,sF1) = sF2,
inference(reorient_equations,[],[f195]) ).
fof(f197,definition,
sF3 = domain_of(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f198,plain,
domain_of(sF2) = sF3,
inference(reorient_equations,[],[f197]) ).
fof(f199,plain,
null_class != sF3,
inference(definition_folding,[],[f186,f198,f196,f194,f192]) ).
fof(f203,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f2,f21]) ).
fof(f217,plain,
! [X0] :
( member(X0,sF1)
| ~ member(X0,sF2) ),
inference(superposition,[],[f22,f196]) ).
fof(f218,plain,
! [X0] :
( member(X0,element_relation)
| ~ member(X0,sF2) ),
inference(superposition,[],[f21,f196]) ).
fof(f222,plain,
! [X0,X1] :
( member(X0,X1)
| ~ member(X0,null_class)
| null_class = X1 ),
inference(superposition,[],[f21,f70]) ).
fof(f228,plain,
! [X0] :
( ~ member(X0,sF0)
| null_class = X0
| null_class = X0 ),
inference(superposition,[],[f8,f192]) ).
fof(f229,plain,
! [X0] :
( ~ member(X0,sF0)
| null_class = X0 ),
inference(duplicate_literal_removal,[],[f228]) ).
fof(f276,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,cross_product(X3,X4))
| member(second(X0),X2)
| ~ member(X0,cross_product(X1,X2)) ),
inference(superposition,[],[f138,f140]) ).
fof(f280,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X0)
| subclass(intersection(X0,X1),X0) ),
inference(resolution,[],[f203,f3]) ).
fof(f290,plain,
! [X0,X1] : subclass(intersection(X0,X1),X0),
inference(duplicate_literal_removal,[],[f280]) ).
fof(f304,plain,
! [X2,X0,X1] :
( member(first(X0),second(X0))
| ~ member(X0,element_relation)
| ~ member(X0,cross_product(X1,X2)) ),
inference(superposition,[],[f141,f140]) ).
fof(f311,plain,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),null_class)
| null_class = X1
| subclass(X0,X1) ),
inference(resolution,[],[f222,f3]) ).
fof(f527,plain,
! [X0] :
( null_class = X0
| subclass(null_class,X0)
| subclass(null_class,X0) ),
inference(resolution,[],[f311,f2]) ).
fof(f534,plain,
! [X0] :
( subclass(null_class,X0)
| null_class = X0 ),
inference(duplicate_literal_removal,[],[f527]) ).
fof(f535,plain,
! [X0] :
( null_class = X0
| ~ subclass(X0,null_class)
| null_class = X0 ),
inference(resolution,[],[f534,f7]) ).
fof(f536,plain,
! [X0] :
( ~ subclass(X0,null_class)
| null_class = X0 ),
inference(duplicate_literal_removal,[],[f535]) ).
fof(f561,plain,
! [X0] : null_class = intersection(null_class,X0),
inference(resolution,[],[f290,f536]) ).
fof(f614,plain,
! [X0] :
( null_class != null_class
| ~ member(X0,domain_of(null_class)) ),
inference(superposition,[],[f144,f561]) ).
fof(f615,plain,
! [X0] : ~ member(X0,domain_of(null_class)),
inference(trivial_inequality_removal,[],[f614]) ).
fof(f633,plain,
null_class = domain_of(null_class),
inference(resolution,[],[f615,f68]) ).
fof(f640,definition,
( spl4_20
<=> null_class = domain_of(null_class) ),
introduced(definition,[new_symbols(definition,[spl4_20])],[avatar_definition]) ).
fof(f642,plain,
( null_class = domain_of(null_class)
| ~ spl4_20 ),
inference(avatar_component_clause,[],[f640]) ).
fof(f644,definition,
( spl4_21
<=> ! [X0] : ~ member(X0,null_class) ),
introduced(definition,[new_symbols(definition,[spl4_21])],[avatar_definition]) ).
fof(f645,plain,
( ! [X0] : ~ member(X0,null_class)
| ~ spl4_21 ),
inference(avatar_component_clause,[],[f644]) ).
fof(f647,plain,
spl4_20,
inference(avatar_split_clause,[],[f633,f640]) ).
fof(f652,plain,
( ! [X0] : ~ member(X0,null_class)
| ~ spl4_20 ),
inference(backward_demodulation,[],[f615,f642]) ).
fof(f653,plain,
( spl4_21
| ~ spl4_20 ),
inference(avatar_split_clause,[],[f652,f640,f644]) ).
fof(f904,definition,
( spl4_23
<=> null_class = sF2 ),
introduced(definition,[new_symbols(definition,[spl4_23])],[avatar_definition]) ).
fof(f905,plain,
( null_class != sF2
| spl4_23 ),
inference(avatar_component_clause,[],[f904]) ).
fof(f906,plain,
( null_class = sF2
| ~ spl4_23 ),
inference(avatar_component_clause,[],[f904]) ).
fof(f913,plain,
( sF3 = domain_of(null_class)
| ~ spl4_23 ),
inference(backward_demodulation,[],[f198,f906]) ).
fof(f933,plain,
( null_class = sF3
| ~ spl4_20
| ~ spl4_23 ),
inference(forward_demodulation,[],[f913,f642]) ).
fof(f935,plain,
( $false
| ~ spl4_20
| ~ spl4_23 ),
inference(forward_subsumption_resolution,[],[f933,f199]) ).
fof(f936,plain,
( ~ spl4_20
| ~ spl4_23 ),
inference(avatar_contradiction_clause,[],[f935]) ).
fof(f1277,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X2,X1))
| member(second(X0),X1)
| ~ member(X0,sF1) ),
inference(superposition,[],[f276,f194]) ).
fof(f1311,plain,
! [X0] :
( ~ member(X0,sF1)
| member(second(X0),sF0)
| ~ member(X0,sF1) ),
inference(superposition,[],[f1277,f194]) ).
fof(f1312,plain,
! [X0] :
( member(second(X0),sF0)
| ~ member(X0,sF1) ),
inference(duplicate_literal_removal,[],[f1311]) ).
fof(f1314,plain,
! [X0] :
( second(X0) = null_class
| ~ member(X0,sF1) ),
inference(resolution,[],[f1312,f229]) ).
fof(f1317,plain,
! [X2,X0,X1] :
( member(first(X0),null_class)
| ~ member(X0,element_relation)
| ~ member(X0,cross_product(X1,X2))
| ~ member(X0,sF1) ),
inference(superposition,[],[f304,f1314]) ).
fof(f1332,plain,
( ! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| ~ member(X0,element_relation)
| ~ member(X0,sF1) )
| ~ spl4_21 ),
inference(forward_subsumption_resolution,[],[f1317,f645]) ).
fof(f2023,plain,
( ! [X0] :
( ~ member(X0,sF1)
| ~ member(X0,element_relation)
| ~ member(X0,sF1) )
| ~ spl4_21 ),
inference(superposition,[],[f1332,f194]) ).
fof(f2024,plain,
( ! [X0] :
( ~ member(X0,sF1)
| ~ member(X0,element_relation) )
| ~ spl4_21 ),
inference(duplicate_literal_removal,[],[f2023]) ).
fof(f2025,plain,
( ! [X0] :
( ~ member(X0,element_relation)
| ~ member(X0,sF2) )
| ~ spl4_21 ),
inference(resolution,[],[f2024,f217]) ).
fof(f2055,plain,
( ! [X0] : ~ member(X0,sF2)
| ~ spl4_21 ),
inference(forward_subsumption_resolution,[],[f2025,f218]) ).
fof(f2057,plain,
( null_class = sF2
| ~ spl4_21 ),
inference(resolution,[],[f2055,f68]) ).
fof(f2069,plain,
( $false
| ~ spl4_21
| spl4_23 ),
inference(forward_subsumption_resolution,[],[f2057,f905]) ).
fof(f2070,plain,
( ~ spl4_21
| spl4_23 ),
inference(avatar_contradiction_clause,[],[f2069]) ).
cnf(s16,plain,
spl4_20,
inference(sat_conversion,[],[f647]) ).
cnf(s17,plain,
( ~ spl4_20
| spl4_21 ),
inference(sat_conversion,[],[f653]) ).
cnf(s22,plain,
( ~ spl4_20
| ~ spl4_23 ),
inference(sat_conversion,[],[f936]) ).
cnf(s60,plain,
( ~ spl4_21
| spl4_23 ),
inference(sat_conversion,[],[f2070]) ).
cnf(s61,plain,
~ spl4_23,
inference(rat,[],[s22,s16]) ).
cnf(s62,plain,
spl4_21,
inference(rat,[],[s17,s16]) ).
cnf(s63,plain,
$false,
inference(rat,[],[s60,s61,s62]) ).
fof(f2071,plain,
$false,
inference(avatar_sat_refutation,[],[s63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET349-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 % Computer : n009.cluster.edu
% 0.13/0.41 % Model : x86_64 x86_64
% 0.13/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.41 % Memory : 8046.5625MB
% 0.13/0.41 % OS : Linux 6.8.0-71-generic
% 0.13/0.41 % CPULimit : 300
% 0.13/0.41 % WCLimit : 300
% 0.13/0.41 % DateTime : Mon Sep 28 01:32:47 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.13/0.42 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.45 Running first-order theorem proving
% 0.13/0.45 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
% 9.13/2.19 % (2584376)Input is clausal, will run a generic CNF schedule.
% 9.13/2.19 % (2584382)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3480968878:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 9.13/2.19 % (2584381)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=1050430619:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 9.13/2.19 % (2584383)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1595427359:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 9.13/2.19 % (2584384)lrs+10_1_sil=8000:sp=occurrence:random_seed=940986075:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 9.13/2.19 % (2584385)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3778511417:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 9.13/2.19 % (2584387)dis-21_1_sil=8000:lcm=predicate:random_seed=2543139696: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)
% 9.13/2.19 % (2584386)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1370483173:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 9.13/2.19 % (2584385)Instruction limit reached!
% 9.13/2.19 % (2584385)------------------------------
% 9.13/2.19 % (2584385)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.13/2.19 % (2584385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.13/2.19 % (2584385)CaDiCaL version: 2.1.3
% 9.13/2.19 % (2584385)Termination reason: Instruction limit
% 9.13/2.19 % (2584385)Termination phase: Saturation
% 9.13/2.19 % (2584385)Time elapsed: 0.069 s
% 9.13/2.19 % (2584385)Peak memory usage: 89 MB
% 9.13/2.19 % (2584385)Instructions burned: 114 (million)
% 9.13/2.19 % (2584384)Instruction limit reached!
% 9.13/2.19 % (2584384)------------------------------
% 9.13/2.19 % (2584384)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.13/2.19 % (2584384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.13/2.19 % (2584384)CaDiCaL version: 2.1.3
% 9.13/2.19 % (2584384)Termination reason: Instruction limit
% 9.13/2.19 % (2584384)Termination phase: Saturation
% 9.13/2.19 % (2584384)Time elapsed: 0.074 s
% 9.13/2.19 % (2584384)Peak memory usage: 90 MB
% 9.13/2.19 % (2584384)Instructions burned: 108 (million)
% 9.13/2.19 % (2584387)Instruction limit reached!
% 9.13/2.19 % (2584387)------------------------------
% 9.13/2.19 % (2584387)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.13/2.19 % (2584387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.13/2.19 % (2584387)CaDiCaL version: 2.1.3
% 9.13/2.19 % (2584387)Termination reason: Instruction limit
% 9.13/2.19 % (2584387)Termination phase: Saturation
% 9.13/2.19 % (2584387)Time elapsed: 0.072 s
% 9.13/2.19 % (2584387)Peak memory usage: 89 MB
% 9.13/2.19 % (2584387)Instructions burned: 118 (million)
% 9.13/2.19 % (2584386)Instruction limit reached!
% 9.13/2.19 % (2584386)------------------------------
% 9.13/2.19 % (2584386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.13/2.19 % (2584386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.13/2.19 % (2584386)CaDiCaL version: 2.1.3
% 9.13/2.19 % (2584386)Termination reason: Instruction limit
% 9.13/2.19 % (2584386)Termination phase: Saturation
% 9.13/2.19 % (2584386)Time elapsed: 0.133 s
% 9.13/2.19 % (2584386)Peak memory usage: 91 MB
% 9.13/2.19 % (2584386)Instructions burned: 180 (million)
% 9.13/2.19 % (2584396)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2912363289: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)
% 9.13/2.19 % (2584397)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1783631999:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 9.13/2.19 % (2584395)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=2206216850:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 9.13/2.19 % (2584395)Refutation not found, incomplete strategy
% 9.13/2.19 % (2584395)------------------------------
% 9.13/2.19 % (2584395)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.13/2.19 % (2584395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.13/2.19 % (2584397)Refutation not found, incomplete strategy
% 9.13/2.19 % (2584397)------------------------------
% 9.13/2.19 % (2584397)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.13/2.19 % (2584395)CaDiCaL version: 2.1.3
% 9.13/2.19 % (2584397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.13/2.19 % (2584395)Termination reason: Refutation not found, incomplete strategy
% 9.13/2.19 % (2584395)Time elapsed: 0.003 s
% 9.13/2.19 % (2584395)Peak memory usage: 88 MB
% 9.13/2.19 % (2584395)Instructions burned: 3 (million)
% 9.13/2.19 % (2584397)CaDiCaL version: 2.1.3
% 9.13/2.19 % (2584397)Termination reason: Refutation not found, incomplete strategy
% 9.13/2.19 % (2584397)Time elapsed: 0.003 s
% 9.13/2.19 % (2584397)Peak memory usage: 88 MB
% 9.13/2.19 % (2584397)Instructions burned: 4 (million)
% 9.13/2.19 % (2584398)lrs+10_64_to=lpo:sil=8000:random_seed=1033126375:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 9.13/2.19 % (2584396)Instruction limit reached!
% 9.13/2.19 % (2584396)------------------------------
% 9.13/2.19 % (2584396)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.13/2.19 % (2584396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.13/2.19 % (2584396)CaDiCaL version: 2.1.3
% 9.13/2.19 % (2584396)Termination reason: Instruction limit
% 9.13/2.19 % (2584396)Termination phase: Saturation
% 9.13/2.19 % (2584396)Time elapsed: 0.111 s
% 9.13/2.19 % (2584396)Peak memory usage: 91 MB
% 9.13/2.19 % (2584396)Instructions burned: 189 (million)
% 9.13/2.19 % (2584398)Instruction limit reached!
% 9.13/2.19 % (2584398)------------------------------
% 9.13/2.19 % (2584398)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.13/2.19 % (2584398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.13/2.19 % (2584398)CaDiCaL version: 2.1.3
% 9.13/2.19 % (2584398)Termination reason: Instruction limit
% 9.13/2.19 % (2584398)Termination phase: Saturation
% 9.13/2.19 % (2584398)Time elapsed: 0.078 s
% 9.13/2.19 % (2584398)Peak memory usage: 89 MB
% 9.13/2.19 % (2584398)Instructions burned: 127 (million)
% 9.13/2.19 % (2584403)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3865716023:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 9.13/2.19 % (2584395)------------------------------
% 9.13/2.19 % (2584395)------------------------------
% 9.13/2.19 % (2584397)------------------------------
% 9.13/2.19 % (2584397)------------------------------
% 9.13/2.19 % (2584404)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2206444772:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 9.13/2.19 % (2584403)Instruction limit reached!
% 9.13/2.19 % (2584403)------------------------------
% 9.13/2.19 % (2584403)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.13/2.19 % (2584403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.13/2.19 % (2584403)CaDiCaL version: 2.1.3
% 9.13/2.19 % (2584403)Termination reason: Instruction limit
% 9.13/2.19 % (2584403)Termination phase: Saturation
% 9.13/2.19 % (2584403)Time elapsed: 0.115 s
% 9.13/2.19 % (2584403)Peak memory usage: 89 MB
% 9.13/2.19 % (2584403)Instructions burned: 194 (million)
% 9.13/2.19 % (2584406)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1829257726:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 9.13/2.19 % (2584407)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=3258389444:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 9.13/2.19 % (2584404)Instruction limit reached!
% 9.13/2.19 % (2584404)------------------------------
% 9.13/2.19 % (2584404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.13/2.19 % (2584404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.13/2.19 % (2584404)CaDiCaL version: 2.1.3
% 9.13/2.19 % (2584404)Termination reason: Instruction limit
% 9.13/2.19 % (2584404)Termination phase: Saturation
% 9.13/2.19 % (2584404)Time elapsed: 0.109 s
% 9.13/2.19 % (2584404)Peak memory usage: 91 MB
% 9.13/2.19 % (2584404)Instructions burned: 158 (million)
% 9.13/2.19 % (2584407)Instruction limit reached!
% 9.13/2.19 % (2584407)------------------------------
% 9.13/2.19 % (2584407)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.13/2.19 % (2584407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.13/2.19 % (2584407)CaDiCaL version: 2.1.3
% 9.13/2.19 % (2584407)Termination reason: Instruction limit
% 9.13/2.19 % (2584407)Termination phase: Saturation
% 9.13/2.19 % (2584407)Time elapsed: 0.052 s
% 9.13/2.19 % (2584407)Peak memory usage: 95 MB
% 9.13/2.19 % (2584407)Instructions burned: 107 (million)
% 9.13/2.19 % (2584409)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1877016917:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 9.13/2.19 % (2584409)Refutation not found, incomplete strategy
% 9.13/2.19 % (2584409)------------------------------
% 9.13/2.19 % (2584409)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.13/2.19 % (2584409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.13/2.19 % (2584409)CaDiCaL version: 2.1.3
% 9.13/2.19 % (2584409)Termination reason: Refutation not found, incomplete strategy
% 9.13/2.19 % (2584409)Time elapsed: 0.005 s
% 9.13/2.19 % (2584409)Peak memory usage: 88 MB
% 9.13/2.19 % (2584409)Instructions burned: 8 (million)
% 9.13/2.19 % (2584412)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1911474976:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 9.13/2.19 % (2584413)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3899834665:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 9.13/2.19 % (2584383)First to succeed.
% 9.13/2.19 % (2584383)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2584376"
% 9.13/2.19 % (2584412)Instruction limit reached!
% 9.13/2.19 % (2584412)------------------------------
% 9.13/2.19 % (2584412)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.13/2.19 % (2584412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.13/2.19 % (2584412)CaDiCaL version: 2.1.3
% 9.13/2.19 % (2584412)Termination reason: Instruction limit
% 9.13/2.19 % (2584412)Termination phase: Saturation
% 9.13/2.19 % (2584412)Time elapsed: 0.166 s
% 9.13/2.19 % (2584412)Peak memory usage: 90 MB
% 9.13/2.19 % (2584412)Instructions burned: 242 (million)
% 9.13/2.19 % (2584409)------------------------------
% 9.13/2.19 % (2584409)------------------------------
% 9.13/2.19 % (2584417)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2437883128:i=134:sd=2:doe=on:ss=axioms:sgt=14_2989 on theBenchmark for (2989ds/134Mi)
% 9.13/2.19 % (2584418)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1028410420:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 9.13/2.19 % (2584383)Refutation found. Thanks to Tanya!
% 9.13/2.19 % SZS status Unsatisfiable for theBenchmark
% 9.13/2.19 % SZS output start Proof for theBenchmark
% See solution above
% 9.68/2.38 % (2584383)------------------------------
% 9.68/2.38 % (2584383)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.68/2.38 % (2584383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.68/2.38 % (2584383)CaDiCaL version: 2.1.3
% 9.68/2.38 % (2584383)Termination reason: Refutation
% 9.68/2.38 % (2584383)Time elapsed: 0.864 s
% 9.68/2.38 % (2584383)Peak memory usage: 132 MB
% 9.68/2.38 % (2584383)Instructions burned: 1312 (million)
% 9.68/2.38 % (2584383)------------------------------
% 9.68/2.38 % (2584383)------------------------------
% 9.68/2.38 % (2584376)Success in time 1.298 s
% 9.68/2.38 % Vampire exiting
%------------------------------------------------------------------------------