%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET348-6 : 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 : 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 12:40:49 PM UTC 2026
% Result : Unsatisfiable 11.42s 2.45s
% Output : Refutation 12.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 21
% Syntax : Number of formulae : 69 ( 23 unt; 3 def)
% Number of atoms : 170 ( 29 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 193 ( 92 ~; 101 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 6 con; 0-3 aty)
% Number of variables : 113 ( 113 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subclass(X0,X1)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
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(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f10,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X1,X0))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair3) ).
fof(f11,axiom,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pairs_in_universal) ).
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(f16,axiom,
! [X2,X3,X0,X1] :
( ~ member(X0,X1)
| ~ member(X2,X3)
| member(ordered_pair(X0,X2),cross_product(X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product3) ).
fof(f20,axiom,
! [X0,X1] :
( ~ member(ordered_pair(X0,X1),cross_product(universal_class,universal_class))
| ~ member(X0,X1)
| member(ordered_pair(X0,X1),element_relation) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_relation3) ).
fof(f23,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).
fof(f24,axiom,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).
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(f31,axiom,
! [X0,X1] :
( ~ member(X0,universal_class)
| restrict(X1,singleton(X0),universal_class) = null_class
| member(X0,domain_of(X1)) ),
file('/export/starexec/sandbox2/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(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(f122,negated_conjecture,
sum_class(universal_class) != universal_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_sum_class_of_universal_class_1) ).
fof(f123,plain,
universal_class != sum_class(universal_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(f139,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,f128]) ).
fof(f142,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
| ~ member(X0,X1)
| member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),element_relation) ),
inference(definition_unfolding,[],[f20,f128,f128]) ).
fof(f145,plain,
! [X0,X1] :
( null_class = intersection(X1,cross_product(unordered_pair(X0,X0),universal_class))
| ~ member(X0,universal_class)
| member(X0,domain_of(X1)) ),
inference(definition_unfolding,[],[f32,f28,f12]) ).
fof(f186,plain,
universal_class != domain_of(intersection(element_relation,cross_product(universal_class,universal_class))),
inference(definition_unfolding,[],[f123,f124]) ).
fof(f191,definition,
sF0 = cross_product(universal_class,universal_class),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f192,plain,
cross_product(universal_class,universal_class) = sF0,
inference(reorient_equations,[],[f191]) ).
fof(f193,definition,
sF1 = intersection(element_relation,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f194,plain,
intersection(element_relation,sF0) = sF1,
inference(reorient_equations,[],[f193]) ).
fof(f195,definition,
sF2 = domain_of(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f196,plain,
domain_of(sF1) = sF2,
inference(reorient_equations,[],[f195]) ).
fof(f197,plain,
universal_class != sF2,
inference(definition_folding,[],[f186,f196,f194,f192]) ).
fof(f198,plain,
! [X0] :
( ~ subclass(universal_class,X0)
| universal_class = X0 ),
inference(resolution,[],[f7,f4]) ).
fof(f202,plain,
! [X2,X3,X0,X1] :
( ~ subclass(intersection(X2,X1),X3)
| ~ member(X0,X2)
| ~ member(X0,X1)
| member(X0,X3) ),
inference(resolution,[],[f23,f1]) ).
fof(f204,plain,
! [X0] :
( ~ member(X0,sF0)
| member(X0,sF1)
| ~ member(X0,element_relation) ),
inference(superposition,[],[f23,f194]) ).
fof(f214,plain,
! [X2,X0,X1] :
( ~ member(X0,X1)
| ~ member(X0,X2)
| member(X0,universal_class) ),
inference(resolution,[],[f202,f4]) ).
fof(f216,plain,
! [X2,X0] :
( ~ member(X0,X2)
| member(X0,universal_class) ),
inference(condensation,[],[f214]) ).
fof(f217,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),universal_class)
| subclass(X0,X1) ),
inference(resolution,[],[f216,f2]) ).
fof(f228,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(unordered_pair(X2,X2),universal_class))
| member(X0,null_class)
| ~ member(X0,X1)
| ~ member(X2,universal_class)
| member(X2,domain_of(X1)) ),
inference(superposition,[],[f23,f145]) ).
fof(f258,plain,
! [X0] :
( member(regular(X0),universal_class)
| null_class = X0 ),
inference(resolution,[],[f68,f216]) ).
fof(f264,plain,
! [X0] :
( ~ member(regular(complement(X0)),X0)
| complement(X0) = null_class ),
inference(resolution,[],[f68,f24]) ).
fof(f269,plain,
! [X0,X1] :
( ~ member(X0,universal_class)
| ~ member(X1,universal_class)
| ~ member(X1,X0)
| member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),element_relation) ),
inference(resolution,[],[f139,f142]) ).
fof(f270,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),X3)
| ~ member(X1,unordered_pair(X2,X2))
| member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),null_class)
| ~ member(X0,universal_class)
| ~ member(X2,universal_class)
| member(X2,domain_of(X3)) ),
inference(resolution,[],[f139,f228]) ).
fof(f273,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)
| ~ member(X1,universal_class)
| ~ member(X0,universal_class) ),
inference(superposition,[],[f139,f192]) ).
fof(f274,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),element_relation)
| ~ member(X1,X0)
| ~ member(X0,universal_class) ),
inference(forward_subsumption_resolution,[],[f269,f216]) ).
fof(f276,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),element_relation)
| ~ member(X1,universal_class)
| member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF1)
| ~ member(X0,universal_class) ),
inference(resolution,[],[f273,f204]) ).
fof(f279,plain,
! [X0,X1] :
( ~ member(X0,X1)
| ~ member(X1,universal_class)
| ~ member(X0,universal_class)
| member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF1)
| ~ member(X1,universal_class) ),
inference(resolution,[],[f274,f276]) ).
fof(f283,plain,
! [X0,X1] :
( ~ member(X0,X1)
| ~ member(X1,universal_class)
| ~ member(X0,universal_class)
| member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF1) ),
inference(duplicate_literal_removal,[],[f279]) ).
fof(f284,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF1)
| ~ member(X1,universal_class)
| ~ member(X0,X1) ),
inference(forward_subsumption_resolution,[],[f283,f216]) ).
fof(f299,plain,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X1))
| member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2))),null_class)
| ~ member(X2,universal_class)
| ~ member(X1,universal_class)
| member(X1,domain_of(sF1))
| ~ member(X2,universal_class)
| ~ member(X0,X2) ),
inference(resolution,[],[f270,f284]) ).
fof(f303,plain,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X1))
| member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2))),null_class)
| ~ member(X2,universal_class)
| ~ member(X1,universal_class)
| member(X1,domain_of(sF1))
| ~ member(X0,X2) ),
inference(duplicate_literal_removal,[],[f299]) ).
fof(f309,plain,
! [X2,X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2))),null_class)
| ~ member(X0,unordered_pair(X1,X1))
| member(X1,sF2)
| ~ member(X2,universal_class)
| ~ member(X1,universal_class)
| ~ member(X0,X2) ),
inference(forward_demodulation,[],[f303,f196]) ).
fof(f346,plain,
( null_class = complement(universal_class)
| null_class = complement(universal_class) ),
inference(resolution,[],[f258,f264]) ).
fof(f349,plain,
null_class = complement(universal_class),
inference(duplicate_literal_removal,[],[f346]) ).
fof(f351,plain,
! [X0] :
( ~ member(X0,null_class)
| ~ member(X0,universal_class) ),
inference(superposition,[],[f24,f349]) ).
fof(f352,plain,
! [X0] : ~ member(X0,null_class),
inference(forward_subsumption_resolution,[],[f351,f216]) ).
fof(f355,plain,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X1))
| member(X1,sF2)
| ~ member(X2,universal_class)
| ~ member(X1,universal_class)
| ~ member(X0,X2) ),
inference(resolution,[],[f352,f309]) ).
fof(f358,plain,
! [X0,X1] :
( member(X0,sF2)
| ~ member(X1,universal_class)
| ~ member(X0,universal_class)
| ~ member(X0,X1)
| ~ member(X0,universal_class) ),
inference(resolution,[],[f355,f10]) ).
fof(f362,plain,
! [X0,X1] :
( member(X0,sF2)
| ~ member(X1,universal_class)
| ~ member(X0,universal_class)
| ~ member(X0,X1) ),
inference(duplicate_literal_removal,[],[f358]) ).
fof(f364,plain,
! [X0,X1] :
( ~ member(X1,universal_class)
| member(X0,sF2)
| ~ member(X0,X1) ),
inference(forward_subsumption_resolution,[],[f362,f216]) ).
fof(f369,plain,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| member(X0,sF2) ),
inference(resolution,[],[f364,f11]) ).
fof(f374,plain,
! [X0] :
( ~ member(X0,universal_class)
| member(X0,sF2) ),
inference(resolution,[],[f369,f10]) ).
fof(f378,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),sF2)
| subclass(X0,X1) ),
inference(resolution,[],[f374,f217]) ).
fof(f385,plain,
! [X0] :
( subclass(X0,sF2)
| subclass(X0,sF2) ),
inference(resolution,[],[f378,f3]) ).
fof(f388,plain,
! [X0] : subclass(X0,sF2),
inference(duplicate_literal_removal,[],[f385]) ).
fof(f391,plain,
universal_class = sF2,
inference(resolution,[],[f388,f198]) ).
fof(f393,plain,
$false,
inference(forward_subsumption_resolution,[],[f391,f197]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET348-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n005.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Mon Sep 28 01:32:32 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 11.42/2.45 % (349074)Input is clausal, will run a generic CNF schedule.
% 11.42/2.45 % (349100)dis-21_1_sil=8000:lcm=predicate:random_seed=1647444777:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 11.42/2.45 % (349100)Instruction limit reached!
% 11.42/2.45 % (349100)------------------------------
% 11.42/2.45 % (349100)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.42/2.45 % (349100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.42/2.45 % (349100)CaDiCaL version: 2.1.3
% 11.42/2.45 % (349100)Termination reason: Instruction limit
% 11.42/2.45 % (349100)Termination phase: Saturation
% 11.42/2.45 % (349100)Time elapsed: 0.037 s
% 11.42/2.45 % (349100)Peak memory usage: 89 MB
% 11.42/2.45 % (349100)Instructions burned: 120 (million)
% 11.42/2.45 % (349094)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=1859751921:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 11.42/2.45 % (349096)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2347374562:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 11.42/2.45 % (349095)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2757930656:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 11.42/2.45 % (349098)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1178554566:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 11.42/2.45 % (349099)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2999198598:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 11.42/2.45 % (349097)lrs+10_1_sil=8000:sp=occurrence:random_seed=3121252770:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 11.42/2.45 % (349104)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=3751105172:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 11.42/2.45 % (349104)Refutation not found, incomplete strategy
% 11.42/2.45 % (349104)------------------------------
% 11.42/2.45 % (349104)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.42/2.45 % (349104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.42/2.45 % (349104)CaDiCaL version: 2.1.3
% 11.42/2.45 % (349104)Termination reason: Refutation not found, incomplete strategy
% 11.42/2.45 % (349104)Time elapsed: 0.001 s
% 11.42/2.45 % (349104)Peak memory usage: 88 MB
% 11.42/2.45 % (349104)Instructions burned: 1 (million)
% 11.42/2.45 % (349098)Instruction limit reached!
% 11.42/2.45 % (349098)------------------------------
% 11.42/2.45 % (349098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.42/2.45 % (349098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.42/2.45 % (349098)CaDiCaL version: 2.1.3
% 11.42/2.45 % (349098)Termination reason: Instruction limit
% 11.42/2.45 % (349098)Termination phase: Saturation
% 11.42/2.45 % (349098)Time elapsed: 0.113 s
% 11.42/2.45 % (349098)Peak memory usage: 89 MB
% 11.42/2.45 % (349098)Instructions burned: 114 (million)
% 11.42/2.45 % (349097)Instruction limit reached!
% 11.42/2.45 % (349097)------------------------------
% 11.42/2.45 % (349097)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.42/2.45 % (349097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.42/2.45 % (349097)CaDiCaL version: 2.1.3
% 11.42/2.45 % (349097)Termination reason: Instruction limit
% 11.42/2.45 % (349097)Termination phase: Saturation
% 11.42/2.45 % (349097)Time elapsed: 0.117 s
% 11.42/2.45 % (349097)Peak memory usage: 90 MB
% 11.42/2.45 % (349097)Instructions burned: 107 (million)
% 11.42/2.45 % (349099)Instruction limit reached!
% 11.42/2.45 % (349099)------------------------------
% 11.42/2.45 % (349099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.42/2.45 % (349099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.42/2.45 % (349099)CaDiCaL version: 2.1.3
% 11.42/2.45 % (349099)Termination reason: Instruction limit
% 11.42/2.45 % (349099)Termination phase: Saturation
% 11.42/2.45 % (349099)Time elapsed: 0.206 s
% 11.42/2.45 % (349099)Peak memory usage: 90 MB
% 11.42/2.45 % (349099)Instructions burned: 180 (million)
% 11.42/2.45 % (349113)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1723394733:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 11.42/2.45 % (349104)------------------------------
% 11.42/2.45 % (349104)------------------------------
% 11.42/2.45 % (349114)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=922904311:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 11.42/2.45 % (349114)Refutation not found, incomplete strategy
% 11.42/2.45 % (349114)------------------------------
% 11.42/2.45 % (349114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.42/2.45 % (349114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.42/2.45 % (349114)CaDiCaL version: 2.1.3
% 11.42/2.45 % (349114)Termination reason: Refutation not found, incomplete strategy
% 11.42/2.45 % (349114)Time elapsed: 0.005 s
% 11.42/2.45 % (349114)Peak memory usage: 88 MB
% 11.42/2.45 % (349114)Instructions burned: 3 (million)
% 11.42/2.45 % (349113)Instruction limit reached!
% 11.42/2.45 % (349113)------------------------------
% 11.42/2.45 % (349113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.42/2.45 % (349113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.42/2.45 % (349113)CaDiCaL version: 2.1.3
% 11.42/2.45 % (349113)Termination reason: Instruction limit
% 11.42/2.45 % (349113)Termination phase: Saturation
% 11.42/2.45 % (349113)Time elapsed: 0.074 s
% 11.42/2.45 % (349113)Peak memory usage: 90 MB
% 11.42/2.45 % (349113)Instructions burned: 194 (million)
% 11.42/2.45 % (349118)lrs+10_64_to=lpo:sil=8000:random_seed=3301362785:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 11.42/2.45 % (349120)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1378153079:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 11.42/2.45 % (349123)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1833451110:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 11.42/2.45 % (349118)Instruction limit reached!
% 11.42/2.45 % (349118)------------------------------
% 11.42/2.45 % (349118)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.42/2.45 % (349118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.42/2.45 % (349118)CaDiCaL version: 2.1.3
% 11.42/2.45 % (349118)Termination reason: Instruction limit
% 11.42/2.45 % (349118)Termination phase: Saturation
% 11.42/2.45 % (349118)Time elapsed: 0.133 s
% 11.42/2.45 % (349118)Peak memory usage: 89 MB
% 11.42/2.45 % (349118)Instructions burned: 126 (million)
% 11.42/2.45 % (349123)Instruction limit reached!
% 11.42/2.45 % (349123)------------------------------
% 11.42/2.45 % (349123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.42/2.45 % (349123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.42/2.45 % (349123)CaDiCaL version: 2.1.3
% 11.42/2.45 % (349123)Termination reason: Instruction limit
% 11.42/2.45 % (349123)Termination phase: Saturation
% 11.42/2.45 % (349123)Time elapsed: 0.091 s
% 11.42/2.45 % (349123)Peak memory usage: 91 MB
% 11.42/2.45 % (349123)Instructions burned: 157 (million)
% 11.42/2.45 % (349120)Instruction limit reached!
% 11.42/2.45 % (349120)------------------------------
% 11.42/2.45 % (349120)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.42/2.45 % (349120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.42/2.45 % (349120)CaDiCaL version: 2.1.3
% 11.42/2.45 % (349120)Termination reason: Instruction limit
% 11.42/2.45 % (349120)Termination phase: Saturation
% 11.42/2.45 % (349120)Time elapsed: 0.194 s
% 11.42/2.45 % (349120)Peak memory usage: 89 MB
% 11.42/2.45 % (349120)Instructions burned: 194 (million)
% 11.42/2.45 % (349114)------------------------------
% 11.42/2.45 % (349114)------------------------------
% 11.42/2.45 % (349133)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=979024628:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2992 on theBenchmark for (2992ds/106Mi)
% 11.42/2.45 % (349131)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1886006053:i=3394:sd=4:ss=included:sgt=64_2992 on theBenchmark for (2992ds/3394Mi)
% 11.42/2.45 % (349133)Instruction limit reached!
% 11.42/2.45 % (349133)------------------------------
% 11.42/2.45 % (349133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.42/2.45 % (349133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.42/2.45 % (349133)CaDiCaL version: 2.1.3
% 11.42/2.45 % (349133)Termination reason: Instruction limit
% 11.42/2.45 % (349133)Termination phase: Saturation
% 11.42/2.45 % (349133)Time elapsed: 0.056 s
% 11.42/2.45 % (349133)Peak memory usage: 89 MB
% 11.42/2.45 % (349133)Instructions burned: 106 (million)
% 11.42/2.45 % (349135)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3397042912:i=107_2991 on theBenchmark for (2991ds/107Mi)
% 11.42/2.45 % (349135)Refutation not found, incomplete strategy
% 11.42/2.45 % (349135)------------------------------
% 11.42/2.45 % (349135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.42/2.45 % (349135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.42/2.45 % (349135)CaDiCaL version: 2.1.3
% 11.42/2.45 % (349135)Termination reason: Refutation not found, incomplete strategy
% 11.42/2.45 % (349135)Time elapsed: 0.005 s
% 11.42/2.45 % (349135)Peak memory usage: 88 MB
% 11.42/2.45 % (349135)Instructions burned: 8 (million)
% 11.42/2.45 % (349136)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1390867293:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2990 on theBenchmark for (2990ds/242Mi)
% 11.42/2.45 % (349139)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3125313813:cond=fast:i=5208:av=off_2989 on theBenchmark for (2989ds/5208Mi)
% 11.42/2.45 % (349136)Instruction limit reached!
% 11.42/2.45 % (349136)------------------------------
% 11.42/2.45 % (349136)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.42/2.45 % (349136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.42/2.45 % (349136)CaDiCaL version: 2.1.3
% 11.42/2.45 % (349136)Termination reason: Instruction limit
% 11.42/2.45 % (349136)Termination phase: Saturation
% 11.42/2.45 % (349136)Time elapsed: 0.158 s
% 11.42/2.45 % (349136)Peak memory usage: 91 MB
% 11.42/2.45 % (349136)Instructions burned: 244 (million)
% 11.42/2.45 % (349135)------------------------------
% 11.42/2.45 % (349135)------------------------------
% 11.42/2.45 % (349143)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2708359613:i=134:sd=2:doe=on:ss=axioms:sgt=14_2987 on theBenchmark for (2987ds/134Mi)
% 11.42/2.45 % (349144)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1929025951:i=499:bd=all_2986 on theBenchmark for (2986ds/499Mi)
% 11.42/2.45 % (349143)Instruction limit reached!
% 11.42/2.45 % (349143)------------------------------
% 11.42/2.45 % (349143)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.42/2.45 % (349143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.42/2.45 % (349143)CaDiCaL version: 2.1.3
% 11.42/2.45 % (349143)Termination reason: Instruction limit
% 11.42/2.45 % (349143)Termination phase: Saturation
% 11.42/2.45 % (349143)Time elapsed: 0.072 s
% 11.42/2.45 % (349143)Peak memory usage: 89 MB
% 11.42/2.45 % (349143)Instructions burned: 136 (million)
% 11.42/2.45 % (349139)First to succeed.
% 11.42/2.45 % (349139)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-349074"
% 11.42/2.45 % (349094)Also succeeded, but the first one will report.
% 11.42/2.45 % (349153)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2160518346:i=191:fgj=on:bd=all_2985 on theBenchmark for (2985ds/191Mi)
% 11.42/2.45 % (349096)Also succeeded, but the first one will report.
% 11.42/2.45 % (349139)Refutation found. Thanks to Tanya!
% 11.42/2.45 % SZS status Unsatisfiable for theBenchmark
% 11.42/2.45 % SZS output start Proof for theBenchmark
% See solution above
% 12.41/2.65 % (349139)------------------------------
% 12.41/2.65 % (349139)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.41/2.65 % (349139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.41/2.65 % (349139)CaDiCaL version: 2.1.3
% 12.41/2.65 % (349139)Termination reason: Refutation
% 12.41/2.65 % (349139)Time elapsed: 0.410 s
% 12.41/2.65 % (349139)Peak memory usage: 130 MB
% 12.41/2.65 % (349139)Instructions burned: 1023 (million)
% 12.41/2.65 % (349139)------------------------------
% 12.41/2.65 % (349139)------------------------------
% 12.41/2.65 % (349074)Success in time 1.689 s
% 12.41/2.65 % Vampire exiting
%------------------------------------------------------------------------------