%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET259-6 : 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 : n014.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 12:40:38 PM UTC 2026
% Result : Unsatisfiable 6.42s 1.76s
% Output : Refutation 8.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 27
% Syntax : Number of formulae : 89 ( 37 unt; 11 def)
% Number of atoms : 146 ( 55 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 116 ( 59 ~; 55 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 13 con; 0-3 aty)
% Number of variables : 67 ( 0 sgn 67 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(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(f14,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product1) ).
fof(f17,axiom,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| ordered_pair(first(X0),second(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product4) ).
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(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(f42,axiom,
! [X2,X0,X1] : second(not_subclass_element(restrict(X0,singleton(X1),X2),null_class)) = range(X0,X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',range) ).
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,
member(x,domain_of(xr)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_domain_alternate_defn2_1) ).
fof(f123,negated_conjecture,
~ member(ordered_pair(x,range(xr,x,universal_class)),xr),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_domain_alternate_defn2_2) ).
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(f133,plain,
! [X2,X0,X1] : range(X0,X1,X2) = second(not_subclass_element(intersection(X0,cross_product(unordered_pair(X1,X1),X2)),null_class)),
inference(definition_unfolding,[],[f42,f28,f12]) ).
fof(f137,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3))
| member(X0,X2) ),
inference(definition_unfolding,[],[f14,f128]) ).
fof(f140,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))) = X0 ),
inference(definition_unfolding,[],[f17,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,
~ member(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(second(not_subclass_element(intersection(xr,cross_product(unordered_pair(x,x),universal_class)),null_class)),second(not_subclass_element(intersection(xr,cross_product(unordered_pair(x,x),universal_class)),null_class))))),xr),
inference(definition_unfolding,[],[f123,f128,f133]) ).
fof(f191,definition,
sF0 = domain_of(xr),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f192,plain,
domain_of(xr) = sF0,
inference(reorient_equations,[],[f191]) ).
fof(f193,plain,
member(x,sF0),
inference(definition_folding,[],[f122,f192]) ).
fof(f194,definition,
sF1 = unordered_pair(x,x),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f195,plain,
unordered_pair(x,x) = sF1,
inference(reorient_equations,[],[f194]) ).
fof(f196,definition,
sF2 = cross_product(sF1,universal_class),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f197,plain,
cross_product(sF1,universal_class) = sF2,
inference(reorient_equations,[],[f196]) ).
fof(f198,definition,
sF3 = intersection(xr,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f199,plain,
intersection(xr,sF2) = sF3,
inference(reorient_equations,[],[f198]) ).
fof(f200,definition,
sF4 = not_subclass_element(sF3,null_class),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f201,plain,
not_subclass_element(sF3,null_class) = sF4,
inference(reorient_equations,[],[f200]) ).
fof(f202,definition,
sF5 = second(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f203,plain,
second(sF4) = sF5,
inference(reorient_equations,[],[f202]) ).
fof(f204,definition,
sF6 = unordered_pair(sF5,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f205,plain,
unordered_pair(sF5,sF5) = sF6,
inference(reorient_equations,[],[f204]) ).
fof(f206,definition,
sF7 = unordered_pair(x,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f207,plain,
unordered_pair(x,sF6) = sF7,
inference(reorient_equations,[],[f206]) ).
fof(f208,definition,
sF8 = unordered_pair(sF1,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f209,plain,
unordered_pair(sF1,sF7) = sF8,
inference(reorient_equations,[],[f208]) ).
fof(f210,plain,
~ member(sF8,xr),
inference(definition_folding,[],[f186,f209,f207,f205,f203,f201,f199,f197,f195,f203,f201,f199,f197,f195,f195]) ).
fof(f211,plain,
! [X0] :
( ~ member(X0,sF3)
| member(X0,xr) ),
inference(superposition,[],[f21,f199]) ).
fof(f212,plain,
! [X0] :
( ~ member(X0,sF3)
| member(X0,sF2) ),
inference(superposition,[],[f22,f199]) ).
fof(f215,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f2,f21]) ).
fof(f218,plain,
( member(sF4,sF3)
| subclass(sF3,null_class) ),
inference(superposition,[],[f2,f201]) ).
fof(f221,definition,
( spl9_1
<=> subclass(sF3,null_class) ),
introduced(definition,[new_symbols(definition,[spl9_1])],[avatar_definition]) ).
fof(f223,plain,
( subclass(sF3,null_class)
| ~ spl9_1 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f230,definition,
( spl9_3
<=> member(sF4,sF3) ),
introduced(definition,[new_symbols(definition,[spl9_3])],[avatar_definition]) ).
fof(f232,plain,
( member(sF4,sF3)
| ~ spl9_3 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f233,plain,
( spl9_1
| spl9_3 ),
inference(avatar_split_clause,[],[f218,f230,f221]) ).
fof(f238,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF2)
| member(X0,sF1) ),
inference(superposition,[],[f137,f197]) ).
fof(f281,plain,
! [X0] :
( ~ member(X0,sF2)
| unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))) = X0 ),
inference(superposition,[],[f140,f197]) ).
fof(f282,plain,
! [X0] :
( null_class != intersection(X0,cross_product(sF1,universal_class))
| ~ member(x,domain_of(X0)) ),
inference(superposition,[],[f144,f195]) ).
fof(f284,plain,
! [X0] :
( null_class != intersection(X0,sF2)
| ~ member(x,domain_of(X0)) ),
inference(forward_demodulation,[],[f282,f197]) ).
fof(f285,plain,
( null_class != sF3
| ~ member(x,domain_of(xr)) ),
inference(superposition,[],[f284,f199]) ).
fof(f286,plain,
( ~ member(x,sF0)
| null_class != sF3 ),
inference(forward_demodulation,[],[f285,f192]) ).
fof(f287,plain,
null_class != sF3,
inference(forward_subsumption_resolution,[],[f286,f193]) ).
fof(f288,plain,
( member(sF4,xr)
| ~ spl9_3 ),
inference(resolution,[],[f232,f211]) ).
fof(f312,plain,
( member(sF4,sF2)
| ~ spl9_3 ),
inference(resolution,[],[f212,f232]) ).
fof(f323,plain,
! [X0] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,sF6)),sF2)
| member(X0,sF1) ),
inference(superposition,[],[f238,f205]) ).
fof(f349,plain,
! [X0] :
( ~ member(X0,sF1)
| x = X0
| x = X0 ),
inference(superposition,[],[f8,f195]) ).
fof(f352,plain,
! [X0] :
( ~ member(X0,sF1)
| x = X0 ),
inference(duplicate_literal_removal,[],[f349]) ).
fof(f416,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X0)
| subclass(intersection(X0,X1),X0) ),
inference(resolution,[],[f215,f3]) ).
fof(f431,plain,
! [X0,X1] : subclass(intersection(X0,X1),X0),
inference(duplicate_literal_removal,[],[f416]) ).
fof(f601,plain,
! [X0] :
( subclass(null_class,X0)
| null_class = X0 ),
inference(superposition,[],[f431,f70]) ).
fof(f928,plain,
( ~ subclass(null_class,sF3)
| null_class = sF3
| ~ spl9_1 ),
inference(resolution,[],[f223,f7]) ).
fof(f929,plain,
( null_class = sF3
| ~ spl9_1 ),
inference(forward_subsumption_resolution,[],[f928,f601]) ).
fof(f932,plain,
( $false
| ~ spl9_1 ),
inference(forward_subsumption_resolution,[],[f929,f287]) ).
fof(f933,plain,
~ spl9_1,
inference(avatar_contradiction_clause,[],[f932]) ).
fof(f935,plain,
( sF4 = unordered_pair(unordered_pair(first(sF4),first(sF4)),unordered_pair(first(sF4),unordered_pair(second(sF4),second(sF4))))
| ~ spl9_3 ),
inference(resolution,[],[f312,f281]) ).
fof(f939,plain,
( sF4 = unordered_pair(unordered_pair(first(sF4),first(sF4)),unordered_pair(first(sF4),unordered_pair(sF5,sF5)))
| ~ spl9_3 ),
inference(forward_demodulation,[],[f935,f203]) ).
fof(f940,plain,
( sF4 = unordered_pair(unordered_pair(first(sF4),first(sF4)),unordered_pair(first(sF4),sF6))
| ~ spl9_3 ),
inference(forward_demodulation,[],[f939,f205]) ).
fof(f947,plain,
( ~ member(sF4,sF2)
| member(first(sF4),sF1)
| ~ spl9_3 ),
inference(superposition,[],[f323,f940]) ).
fof(f953,plain,
( member(first(sF4),sF1)
| ~ spl9_3 ),
inference(forward_subsumption_resolution,[],[f947,f312]) ).
fof(f954,plain,
( x = first(sF4)
| ~ spl9_3 ),
inference(resolution,[],[f953,f352]) ).
fof(f967,plain,
( sF4 = unordered_pair(unordered_pair(x,x),unordered_pair(x,sF6))
| ~ spl9_3 ),
inference(superposition,[],[f940,f954]) ).
fof(f968,plain,
( sF4 = unordered_pair(unordered_pair(x,x),sF7)
| ~ spl9_3 ),
inference(forward_demodulation,[],[f967,f207]) ).
fof(f969,plain,
( sF4 = unordered_pair(sF1,sF7)
| ~ spl9_3 ),
inference(forward_demodulation,[],[f968,f195]) ).
fof(f970,plain,
( sF4 = sF8
| ~ spl9_3 ),
inference(forward_demodulation,[],[f969,f209]) ).
fof(f971,plain,
( ~ member(sF4,xr)
| ~ spl9_3 ),
inference(superposition,[],[f210,f970]) ).
fof(f972,plain,
( $false
| ~ spl9_3 ),
inference(forward_subsumption_resolution,[],[f971,f288]) ).
fof(f973,plain,
~ spl9_3,
inference(avatar_contradiction_clause,[],[f972]) ).
cnf(s2,plain,
( spl9_1
| spl9_3 ),
inference(sat_conversion,[],[f233]) ).
cnf(s22,plain,
~ spl9_1,
inference(sat_conversion,[],[f933]) ).
cnf(s24,plain,
~ spl9_3,
inference(sat_conversion,[],[f973]) ).
cnf(s28,plain,
$false,
inference(rat,[],[s2,s24,s22]) ).
fof(f974,plain,
$false,
inference(avatar_sat_refutation,[],[s28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET259-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.39 % Computer : n014.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.40 % CPULimit : 300
% 0.10/0.40 % WCLimit : 300
% 0.10/0.40 % DateTime : Mon Sep 28 01:14:32 UTC 2026
% 0.10/0.40 % CPUTime :
% 0.10/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.43 Running first-order theorem proving
% 0.10/0.43 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
% 6.42/1.75 % (1340167)Input is clausal, will run a generic CNF schedule.
% 6.42/1.75 % (1340177)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2761603924:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.42/1.75 % (1340178)dis-21_1_sil=8000:lcm=predicate:random_seed=1037265176: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)
% 6.42/1.75 % (1340175)lrs+10_1_sil=8000:sp=occurrence:random_seed=754575213:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.42/1.75 % (1340173)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=753968306:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.42/1.75 % (1340174)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3625164971:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.42/1.75 % (1340172)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=4023691922:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.42/1.75 % (1340176)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3534770778:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.42/1.75 % (1340177)Instruction limit reached!
% 6.42/1.75 % (1340177)------------------------------
% 6.42/1.75 % (1340177)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/1.75 % (1340177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.75 % (1340177)CaDiCaL version: 2.1.3
% 6.42/1.75 % (1340177)Termination reason: Instruction limit
% 6.42/1.75 % (1340177)Termination phase: Saturation
% 6.42/1.75 % (1340177)Time elapsed: 0.070 s
% 6.42/1.75 % (1340177)Peak memory usage: 90 MB
% 6.42/1.75 % (1340177)Instructions burned: 181 (million)
% 6.42/1.75 % (1340176)Instruction limit reached!
% 6.42/1.75 % (1340176)------------------------------
% 6.42/1.75 % (1340176)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/1.75 % (1340176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.75 % (1340176)CaDiCaL version: 2.1.3
% 6.42/1.75 % (1340176)Termination reason: Instruction limit
% 6.42/1.75 % (1340176)Termination phase: Saturation
% 6.42/1.75 % (1340176)Time elapsed: 0.069 s
% 6.42/1.75 % (1340176)Peak memory usage: 89 MB
% 6.42/1.75 % (1340176)Instructions burned: 115 (million)
% 6.42/1.75 % (1340178)Instruction limit reached!
% 6.42/1.75 % (1340178)------------------------------
% 6.42/1.75 % (1340178)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/1.75 % (1340178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.75 % (1340178)CaDiCaL version: 2.1.3
% 6.42/1.75 % (1340178)Termination reason: Instruction limit
% 6.42/1.75 % (1340178)Termination phase: Saturation
% 6.42/1.75 % (1340178)Time elapsed: 0.070 s
% 6.42/1.75 % (1340178)Peak memory usage: 89 MB
% 6.42/1.75 % (1340178)Instructions burned: 117 (million)
% 6.42/1.75 % (1340175)Instruction limit reached!
% 6.42/1.75 % (1340175)------------------------------
% 6.42/1.75 % (1340175)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/1.75 % (1340175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.75 % (1340175)CaDiCaL version: 2.1.3
% 6.42/1.75 % (1340175)Termination reason: Instruction limit
% 6.42/1.75 % (1340175)Termination phase: Saturation
% 6.42/1.75 % (1340175)Time elapsed: 0.075 s
% 6.42/1.75 % (1340175)Peak memory usage: 90 MB
% 6.42/1.75 % (1340175)Instructions burned: 108 (million)
% 6.42/1.75 % (1340186)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=3657460554:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 6.42/1.75 % (1340186)Refutation not found, incomplete strategy
% 6.42/1.75 % (1340186)------------------------------
% 6.42/1.75 % (1340186)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/1.75 % (1340186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.75 % (1340186)CaDiCaL version: 2.1.3
% 6.42/1.75 % (1340186)Termination reason: Refutation not found, incomplete strategy
% 6.42/1.75 % (1340186)Time elapsed: 0.001 s
% 6.42/1.75 % (1340186)Peak memory usage: 88 MB
% 6.42/1.75 % (1340186)Instructions burned: 1 (million)
% 6.42/1.75 % (1340189)lrs+10_64_to=lpo:sil=8000:random_seed=2026291520:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 6.42/1.75 % (1340188)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=800807735:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.42/1.75 % (1340187)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2951931829: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)
% 6.42/1.75 % (1340189)Instruction limit reached!
% 6.42/1.75 % (1340189)------------------------------
% 6.42/1.75 % (1340189)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/1.75 % (1340189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.75 % (1340189)CaDiCaL version: 2.1.3
% 6.42/1.75 % (1340189)Termination reason: Instruction limit
% 6.42/1.75 % (1340189)Termination phase: Saturation
% 6.42/1.75 % (1340189)Time elapsed: 0.080 s
% 6.42/1.75 % (1340189)Peak memory usage: 89 MB
% 6.42/1.75 % (1340189)Instructions burned: 127 (million)
% 6.42/1.75 % (1340186)------------------------------
% 6.42/1.75 % (1340186)------------------------------
% 6.42/1.75 % (1340187)Instruction limit reached!
% 6.42/1.75 % (1340187)------------------------------
% 6.42/1.75 % (1340187)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/1.75 % (1340187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.75 % (1340187)CaDiCaL version: 2.1.3
% 6.42/1.75 % (1340187)Termination reason: Instruction limit
% 6.42/1.75 % (1340187)Termination phase: Saturation
% 6.42/1.75 % (1340187)Time elapsed: 0.099 s
% 6.42/1.75 % (1340187)Peak memory usage: 90 MB
% 6.42/1.75 % (1340187)Instructions burned: 189 (million)
% 6.42/1.75 % (1340188)Instruction limit reached!
% 6.42/1.75 % (1340188)------------------------------
% 6.42/1.75 % (1340188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/1.75 % (1340188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.75 % (1340188)CaDiCaL version: 2.1.3
% 6.42/1.75 % (1340188)Termination reason: Instruction limit
% 6.42/1.75 % (1340188)Termination phase: Saturation
% 6.42/1.75 % (1340188)Time elapsed: 0.132 s
% 6.42/1.75 % (1340188)Peak memory usage: 89 MB
% 6.42/1.75 % (1340188)Instructions burned: 219 (million)
% 6.42/1.75 % (1340195)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3366652650:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 6.42/1.75 % (1340194)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3107822989:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 6.42/1.75 % (1340196)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1270736683:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 6.42/1.75 % (1340197)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=2917721066:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 6.42/1.75 % (1340195)Instruction limit reached!
% 6.42/1.75 % (1340195)------------------------------
% 6.42/1.75 % (1340195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/1.75 % (1340195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.75 % (1340195)CaDiCaL version: 2.1.3
% 6.42/1.75 % (1340195)Termination reason: Instruction limit
% 6.42/1.75 % (1340195)Termination phase: Saturation
% 6.42/1.75 % (1340195)Time elapsed: 0.081 s
% 6.42/1.75 % (1340195)Peak memory usage: 91 MB
% 6.42/1.75 % (1340195)Instructions burned: 158 (million)
% 6.42/1.75 % (1340194)Instruction limit reached!
% 6.42/1.75 % (1340194)------------------------------
% 6.42/1.75 % (1340194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/1.75 % (1340194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.75 % (1340194)CaDiCaL version: 2.1.3
% 6.42/1.75 % (1340194)Termination reason: Instruction limit
% 6.42/1.75 % (1340194)Termination phase: Saturation
% 6.42/1.75 % (1340194)Time elapsed: 0.117 s
% 6.42/1.75 % (1340194)Peak memory usage: 90 MB
% 6.42/1.75 % (1340194)Instructions burned: 195 (million)
% 6.42/1.75 % (1340197)Instruction limit reached!
% 6.42/1.75 % (1340197)------------------------------
% 6.42/1.75 % (1340197)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/1.75 % (1340197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.76 % (1340197)CaDiCaL version: 2.1.3
% 6.42/1.76 % (1340197)Termination reason: Instruction limit
% 6.42/1.76 % (1340197)Termination phase: Saturation
% 6.42/1.76 % (1340197)Time elapsed: 0.060 s
% 6.42/1.76 % (1340197)Peak memory usage: 90 MB
% 6.42/1.76 % (1340197)Instructions burned: 107 (million)
% 6.42/1.76 % (1340202)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1395696122:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 6.42/1.76 % (1340202)Instruction limit reached!
% 6.42/1.76 % (1340202)------------------------------
% 6.42/1.76 % (1340202)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/1.76 % (1340202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.76 % (1340202)CaDiCaL version: 2.1.3
% 6.42/1.76 % (1340202)Termination reason: Instruction limit
% 6.42/1.76 % (1340202)Termination phase: Saturation
% 6.42/1.76 % (1340202)Time elapsed: 0.040 s
% 6.42/1.76 % (1340202)Peak memory usage: 89 MB
% 6.42/1.76 % (1340202)Instructions burned: 108 (million)
% 6.42/1.76 % (1340203)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=573135384:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 6.42/1.76 % (1340204)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=365700833:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 6.42/1.76 % (1340206)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2645286769:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 6.42/1.76 % (1340172)First to succeed.
% 6.42/1.76 % (1340206)Instruction limit reached!
% 6.42/1.76 % (1340206)------------------------------
% 6.42/1.76 % (1340206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/1.76 % (1340206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.76 % (1340172)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1340167"
% 6.42/1.76 % (1340206)CaDiCaL version: 2.1.3
% 6.42/1.76 % (1340206)Termination reason: Instruction limit
% 6.42/1.76 % (1340206)Termination phase: Saturation
% 6.42/1.76 % (1340206)Time elapsed: 0.044 s
% 6.42/1.76 % (1340206)Peak memory usage: 90 MB
% 6.42/1.76 % (1340206)Instructions burned: 135 (million)
% 6.42/1.76 % (1340210)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3215935726:i=499:bd=all_2991 on theBenchmark for (2991ds/499Mi)
% 6.42/1.76 % (1340203)Instruction limit reached!
% 6.42/1.76 % (1340203)------------------------------
% 6.42/1.76 % (1340203)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/1.76 % (1340203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.76 % (1340203)CaDiCaL version: 2.1.3
% 6.42/1.76 % (1340203)Termination reason: Instruction limit
% 6.42/1.76 % (1340203)Termination phase: Saturation
% 6.42/1.76 % (1340203)Time elapsed: 0.166 s
% 6.42/1.76 % (1340203)Peak memory usage: 90 MB
% 6.42/1.76 % (1340203)Instructions burned: 242 (million)
% 6.42/1.76 % (1340212)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3038405980:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 6.42/1.76 % (1340210)Instruction limit reached!
% 6.42/1.76 % (1340210)------------------------------
% 6.42/1.76 % (1340210)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/1.76 % (1340210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.76 % (1340210)CaDiCaL version: 2.1.3
% 6.42/1.76 % (1340210)Termination reason: Instruction limit
% 6.42/1.76 % (1340210)Termination phase: Saturation
% 6.42/1.76 % (1340210)Time elapsed: 0.151 s
% 6.42/1.76 % (1340210)Peak memory usage: 95 MB
% 6.42/1.76 % (1340210)Instructions burned: 501 (million)
% 6.42/1.76 % (1340172)Refutation found. Thanks to Tanya!
% 6.42/1.76 % SZS status Unsatisfiable for theBenchmark
% 6.42/1.76 % SZS output start Proof for theBenchmark
% See solution above
% 8.17/1.85 % (1340172)------------------------------
% 8.17/1.85 % (1340172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.17/1.85 % (1340172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.17/1.85 % (1340172)CaDiCaL version: 2.1.3
% 8.17/1.85 % (1340172)Termination reason: Refutation
% 8.17/1.85 % (1340172)Time elapsed: 0.729 s
% 8.17/1.85 % (1340172)Peak memory usage: 130 MB
% 8.17/1.85 % (1340172)Instructions burned: 1088 (million)
% 8.17/1.85 % (1340172)------------------------------
% 8.17/1.85 % (1340172)------------------------------
% 8.17/1.85 % (1340167)Success in time 1.119 s
% 8.17/1.85 % Vampire exiting
%------------------------------------------------------------------------------