%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM159-1 : 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 : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:11:50 PM UTC 2026
% Result : Unsatisfiable 0.17s 2.20s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 15
% Syntax : Number of formulae : 27 ( 20 unt; 0 def)
% Number of atoms : 37 ( 10 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 12 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 10 ( 3 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 5 con; 0-3 aty)
% Number of variables : 29 ( 29 !; 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(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection2) ).
fof(f24,axiom,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).
fof(f25,axiom,
! [X0,X1] :
( member(X0,complement(X1))
| ~ member(X0,universal_class)
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement2) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union) ).
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(f39,axiom,
! [X0] : domain_of(flip(cross_product(X0,universal_class))) = inverse(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f40,axiom,
! [X0] : domain_of(inverse(X0)) = range_of(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',range_of) ).
fof(f43,axiom,
! [X0,X1] : range_of(restrict(X0,X1,universal_class)) = image(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',image) ).
fof(f154,axiom,
union(singleton(null_class),image(successor_relation,ordinal_numbers)) = kind_1_ordinals,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kind_1_ordinals) ).
fof(f176,negated_conjecture,
~ subclass(image(successor_relation,ordinal_numbers),kind_1_ordinals),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_kind_1_ordinal_1) ).
fof(f178,plain,
! [X0] : range_of(X0) = domain_of(domain_of(flip(cross_product(X0,universal_class)))),
inference(definition_unfolding,[],[f40,f39]) ).
fof(f181,plain,
! [X0,X1] : image(X0,X1) = domain_of(domain_of(flip(cross_product(intersection(X0,cross_product(X1,universal_class)),universal_class)))),
inference(definition_unfolding,[],[f43,f178,f28]) ).
fof(f259,plain,
kind_1_ordinals = complement(intersection(complement(unordered_pair(null_class,null_class)),complement(domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(ordinal_numbers,universal_class)),universal_class))))))),
inference(definition_unfolding,[],[f154,f26,f12,f181]) ).
fof(f267,plain,
~ subclass(domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(ordinal_numbers,universal_class)),universal_class)))),kind_1_ordinals),
inference(definition_unfolding,[],[f176,f181]) ).
fof(f274,plain,
~ member(not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(ordinal_numbers,universal_class)),universal_class)))),kind_1_ordinals),kind_1_ordinals),
inference(unit_resulting_resolution,[],[f3,f267]) ).
fof(f275,plain,
member(not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(ordinal_numbers,universal_class)),universal_class)))),kind_1_ordinals),domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(ordinal_numbers,universal_class)),universal_class))))),
inference(unit_resulting_resolution,[],[f2,f267]) ).
fof(f276,plain,
! [X0] :
( member(X0,intersection(complement(unordered_pair(null_class,null_class)),complement(domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(ordinal_numbers,universal_class)),universal_class)))))))
| ~ member(X0,universal_class)
| member(X0,kind_1_ordinals) ),
inference(superposition,[],[f25,f259]) ).
fof(f292,plain,
member(not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(ordinal_numbers,universal_class)),universal_class)))),kind_1_ordinals),universal_class),
inference(unit_resulting_resolution,[],[f1,f4,f275]) ).
fof(f297,plain,
~ member(not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(ordinal_numbers,universal_class)),universal_class)))),kind_1_ordinals),complement(domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(ordinal_numbers,universal_class)),universal_class)))))),
inference(unit_resulting_resolution,[],[f24,f275]) ).
fof(f308,plain,
member(not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(ordinal_numbers,universal_class)),universal_class)))),kind_1_ordinals),intersection(complement(unordered_pair(null_class,null_class)),complement(domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(ordinal_numbers,universal_class)),universal_class))))))),
inference(unit_resulting_resolution,[],[f276,f274,f292]) ).
fof(f347,plain,
member(not_subclass_element(domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(ordinal_numbers,universal_class)),universal_class)))),kind_1_ordinals),complement(domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(ordinal_numbers,universal_class)),universal_class)))))),
inference(unit_resulting_resolution,[],[f22,f308]) ).
fof(f367,plain,
$false,
inference(forward_subsumption_resolution,[],[f347,f297]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM159-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.41 % Computer : n008.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Sun Sep 27 19:03:10 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.45 Running first-order theorem proving
% 0.14/0.45 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
% 6.73/2.01 % (1535622)Input is clausal, will run a generic CNF schedule.
% 6.73/2.01 % (1535630)lrs+10_1_sil=8000:sp=occurrence:random_seed=1709617348:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.73/2.01 % (1535629)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=929229171:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.73/2.01 % (1535628)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1566377932:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.73/2.01 % (1535627)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=3446919801:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.73/2.01 % (1535630)Instruction limit reached!
% 6.73/2.01 % (1535630)------------------------------
% 6.73/2.01 % (1535630)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.73/2.01 % (1535630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.73/2.01 % (1535630)CaDiCaL version: 2.1.3
% 6.73/2.01 % (1535630)Termination reason: Instruction limit
% 6.73/2.01 % (1535630)Termination phase: Saturation
% 6.73/2.01 % (1535630)Time elapsed: 0.042 s
% 6.73/2.01 % (1535630)Peak memory usage: 90 MB
% 6.73/2.01 % (1535630)Instructions burned: 110 (million)
% 6.73/2.01 % (1535632)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1565300220:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.73/2.01 % (1535633)dis-21_1_sil=8000:lcm=predicate:random_seed=2108471688: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)
% 6.73/2.01 % (1535631)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1552646474:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.73/2.01 % (1535633)Instruction limit reached!
% 6.73/2.01 % (1535633)------------------------------
% 6.73/2.01 % (1535633)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.73/2.01 % (1535633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.73/2.01 % (1535633)CaDiCaL version: 2.1.3
% 6.73/2.01 % (1535633)Termination reason: Instruction limit
% 6.73/2.01 % (1535633)Termination phase: Saturation
% 6.73/2.01 % (1535633)Time elapsed: 0.061 s
% 6.73/2.01 % (1535633)Peak memory usage: 89 MB
% 6.73/2.01 % (1535633)Instructions burned: 118 (million)
% 6.73/2.01 % (1535631)Instruction limit reached!
% 6.73/2.01 % (1535631)------------------------------
% 6.73/2.01 % (1535631)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.73/2.01 % (1535631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.73/2.01 % (1535631)CaDiCaL version: 2.1.3
% 6.73/2.01 % (1535631)Termination reason: Instruction limit
% 6.73/2.01 % (1535631)Termination phase: Saturation
% 6.73/2.01 % (1535631)Time elapsed: 0.069 s
% 6.73/2.01 % (1535631)Peak memory usage: 89 MB
% 6.73/2.01 % (1535631)Instructions burned: 117 (million)
% 6.73/2.01 % (1535638)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=160307478:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 6.73/2.01 % (1535638)Refutation not found, incomplete strategy
% 6.73/2.01 % (1535638)------------------------------
% 6.73/2.01 % (1535638)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.73/2.01 % (1535638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.73/2.01 % (1535638)CaDiCaL version: 2.1.3
% 6.73/2.01 % (1535638)Termination reason: Refutation not found, incomplete strategy
% 6.73/2.01 % (1535638)Time elapsed: 0.002 s
% 6.73/2.01 % (1535638)Peak memory usage: 88 MB
% 6.73/2.01 % (1535638)Instructions burned: 5 (million)
% 6.73/2.01 % (1535632)Instruction limit reached!
% 6.73/2.01 % (1535632)------------------------------
% 6.73/2.01 % (1535632)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.73/2.01 % (1535632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.73/2.01 % (1535632)CaDiCaL version: 2.1.3
% 6.73/2.01 % (1535632)Termination reason: Instruction limit
% 6.73/2.01 % (1535632)Termination phase: Saturation
% 6.73/2.01 % (1535632)Time elapsed: 0.134 s
% 6.73/2.01 % (1535632)Peak memory usage: 91 MB
% 6.73/2.01 % (1535632)Instructions burned: 180 (million)
% 6.73/2.01 % (1535642)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4284936136: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)
% 6.73/2.01 % (1535643)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2094520373:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.73/2.01 % (1535643)Refutation not found, incomplete strategy
% 6.73/2.01 % (1535643)------------------------------
% 6.73/2.01 % (1535643)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.73/2.01 % (1535643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.73/2.01 % (1535643)CaDiCaL version: 2.1.3
% 6.73/2.01 % (1535643)Termination reason: Refutation not found, incomplete strategy
% 6.73/2.01 % (1535643)Time elapsed: 0.004 s
% 6.73/2.01 % (1535643)Peak memory usage: 88 MB
% 6.73/2.01 % (1535643)Instructions burned: 5 (million)
% 6.73/2.01 % (1535638)------------------------------
% 6.73/2.01 % (1535638)------------------------------
% 6.73/2.01 % (1535645)lrs+10_64_to=lpo:sil=8000:random_seed=2442887325:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 6.73/2.01 % (1535642)Instruction limit reached!
% 6.73/2.01 % (1535642)------------------------------
% 6.73/2.01 % (1535642)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.73/2.01 % (1535642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.73/2.01 % (1535642)CaDiCaL version: 2.1.3
% 6.73/2.01 % (1535642)Termination reason: Instruction limit
% 6.73/2.01 % (1535642)Termination phase: Saturation
% 6.73/2.01 % (1535642)Time elapsed: 0.112 s
% 6.73/2.01 % (1535642)Peak memory usage: 90 MB
% 6.73/2.01 % (1535642)Instructions burned: 190 (million)
% 6.73/2.01 % (1535645)Instruction limit reached!
% 6.73/2.01 % (1535645)------------------------------
% 6.73/2.01 % (1535645)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.73/2.01 % (1535645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.73/2.01 % (1535645)CaDiCaL version: 2.1.3
% 6.73/2.01 % (1535645)Termination reason: Instruction limit
% 6.73/2.01 % (1535645)Termination phase: Saturation
% 6.73/2.01 % (1535645)Time elapsed: 0.079 s
% 6.73/2.01 % (1535645)Peak memory usage: 89 MB
% 6.73/2.01 % (1535645)Instructions burned: 127 (million)
% 6.73/2.01 % (1535648)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3204924678:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 6.73/2.01 % (1535648)Instruction limit reached!
% 6.73/2.01 % (1535648)------------------------------
% 6.73/2.01 % (1535648)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.73/2.01 % (1535648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.73/2.01 % (1535648)CaDiCaL version: 2.1.3
% 6.73/2.01 % (1535648)Termination reason: Instruction limit
% 6.73/2.01 % (1535648)Termination phase: Saturation
% 6.73/2.01 % (1535648)Time elapsed: 0.050 s
% 6.73/2.01 % (1535648)Peak memory usage: 89 MB
% 6.73/2.01 % (1535648)Instructions burned: 198 (million)
% 6.73/2.01 % (1535643)------------------------------
% 6.73/2.01 % (1535643)------------------------------
% 6.73/2.01 % (1535650)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3973604613:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 6.73/2.01 % (1535651)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2283503788:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 6.73/2.01 % (1535653)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=763694081:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 6.73/2.01 % (1535653)Instruction limit reached!
% 6.73/2.01 % (1535653)------------------------------
% 6.73/2.01 % (1535653)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.73/2.01 % (1535653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.73/2.01 % (1535653)CaDiCaL version: 2.1.3
% 6.73/2.01 % (1535653)Termination reason: Instruction limit
% 6.73/2.01 % (1535653)Termination phase: Saturation
% 6.73/2.01 % (1535653)Time elapsed: 0.035 s
% 6.73/2.01 % (1535653)Peak memory usage: 89 MB
% 6.73/2.01 % (1535653)Instructions burned: 106 (million)
% 6.73/2.01 % (1535650)Instruction limit reached!
% 6.73/2.01 % (1535650)------------------------------
% 6.73/2.01 % (1535650)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/2.20 % (1535650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/2.20 % (1535650)CaDiCaL version: 2.1.3
% 0.17/2.20 % (1535650)Termination reason: Instruction limit
% 0.17/2.20 % (1535650)Termination phase: Saturation
% 0.17/2.20 % (1535650)Time elapsed: 0.115 s
% 0.17/2.20 % (1535650)Peak memory usage: 91 MB
% 0.17/2.20 % (1535650)Instructions burned: 158 (million)
% 0.17/2.20 % (1535655)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1091034509:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 0.17/2.20 % (1535628)First to succeed.
% 0.17/2.20 % (1535628)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1535622"
% 0.17/2.20 % (1535627)Also succeeded, but the first one will report.
% 0.17/2.20 % (1535629)Also succeeded, but the first one will report.
% 0.17/2.20 % (1535658)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=4304296:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 0.17/2.20 % (1535655)Instruction limit reached!
% 0.17/2.20 % (1535655)------------------------------
% 0.17/2.20 % (1535655)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/2.20 % (1535655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/2.20 % (1535655)CaDiCaL version: 2.1.3
% 0.17/2.20 % (1535655)Termination reason: Instruction limit
% 0.17/2.20 % (1535655)Termination phase: Saturation
% 0.17/2.20 % (1535655)Time elapsed: 0.077 s
% 0.17/2.20 % (1535655)Peak memory usage: 89 MB
% 0.17/2.20 % (1535655)Instructions burned: 108 (million)
% 0.17/2.20 % (1535659)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=921285751:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 0.17/2.20 % (1535658)Instruction limit reached!
% 0.17/2.20 % (1535658)------------------------------
% 0.17/2.20 % (1535658)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/2.20 % (1535658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/2.20 % (1535658)CaDiCaL version: 2.1.3
% 0.17/2.20 % (1535658)Termination reason: Instruction limit
% 0.17/2.20 % (1535658)Termination phase: Saturation
% 0.17/2.20 % (1535658)Time elapsed: 0.092 s
% 0.17/2.20 % (1535658)Peak memory usage: 90 MB
% 0.17/2.20 % (1535658)Instructions burned: 243 (million)
% 0.17/2.20 % (1535662)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=874272765:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 0.17/2.20 % (1535628)Refutation found. Thanks to Tanya!
% 0.17/2.20 % SZS status Unsatisfiable for theBenchmark
% 0.17/2.20 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/2.20 % (1535628)------------------------------
% 0.17/2.20 % (1535628)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/2.20 % (1535628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/2.20 % (1535628)CaDiCaL version: 2.1.3
% 0.17/2.20 % (1535628)Termination reason: Refutation
% 0.17/2.20 % (1535628)Time elapsed: 0.674 s
% 0.17/2.20 % (1535628)Peak memory usage: 129 MB
% 0.17/2.20 % (1535628)Instructions burned: 1009 (million)
% 0.17/2.20 % (1535628)------------------------------
% 0.17/2.20 % (1535628)------------------------------
% 0.17/2.20 % (1535622)Success in time 1.113 s
% 0.17/2.20 % Vampire exiting
%------------------------------------------------------------------------------