%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM049-1 : 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 : n011.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 12:11:39 PM UTC 2026
% Result : Unsatisfiable 7.47s 2.03s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of formulae : 24 ( 16 unt; 0 def)
% Number of atoms : 34 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 24 ( 14 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 11 ( 3 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-2 aty)
% Number of variables : 25 ( 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subclass(X0,X1)
| member(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
fof(f24,axiom,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).
fof(f25,axiom,
! [X0,X1] :
( member(X0,complement(X1))
| ~ member(X0,universal_class)
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement2) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union) ).
fof(f39,axiom,
! [X0] : domain_of(flip(cross_product(X0,universal_class))) = inverse(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f122,axiom,
! [X0] : union(X0,inverse(X0)) = symmetrization_of(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetrization) ).
fof(f126,axiom,
! [X0,X1] :
( ~ subclass(cross_product(X0,X0),union(identity_relation,symmetrization_of(X1)))
| connected(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',connected2) ).
fof(f176,negated_conjecture,
subclass(cross_product(y,y),identity_relation),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_connect_class_property4_1) ).
fof(f177,negated_conjecture,
~ connected(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_connect_class_property4_2) ).
fof(f191,plain,
! [X0] : symmetrization_of(X0) = complement(intersection(complement(X0),complement(domain_of(flip(cross_product(X0,universal_class)))))),
inference(definition_unfolding,[],[f122,f26,f39]) ).
fof(f247,plain,
! [X0,X1] :
( ~ subclass(cross_product(X0,X0),complement(intersection(complement(identity_relation),complement(complement(intersection(complement(X1),complement(domain_of(flip(cross_product(X1,universal_class))))))))))
| connected(X1,X0) ),
inference(definition_unfolding,[],[f126,f26,f191]) ).
fof(f275,plain,
~ subclass(cross_product(y,y),complement(intersection(complement(identity_relation),complement(complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class)))))))))),
inference(unit_resulting_resolution,[],[f247,f177]) ).
fof(f276,plain,
~ member(not_subclass_element(cross_product(y,y),complement(intersection(complement(identity_relation),complement(complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class)))))))))),complement(intersection(complement(identity_relation),complement(complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class)))))))))),
inference(unit_resulting_resolution,[],[f3,f275]) ).
fof(f277,plain,
member(not_subclass_element(cross_product(y,y),complement(intersection(complement(identity_relation),complement(complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class)))))))))),cross_product(y,y)),
inference(unit_resulting_resolution,[],[f2,f275]) ).
fof(f281,plain,
member(not_subclass_element(cross_product(y,y),complement(intersection(complement(identity_relation),complement(complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class)))))))))),identity_relation),
inference(unit_resulting_resolution,[],[f1,f176,f277]) ).
fof(f282,plain,
member(not_subclass_element(cross_product(y,y),complement(intersection(complement(identity_relation),complement(complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class)))))))))),universal_class),
inference(unit_resulting_resolution,[],[f1,f4,f277]) ).
fof(f436,plain,
~ member(not_subclass_element(cross_product(y,y),complement(intersection(complement(identity_relation),complement(complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class)))))))))),complement(identity_relation)),
inference(unit_resulting_resolution,[],[f24,f281]) ).
fof(f468,plain,
! [X0] : ~ member(not_subclass_element(cross_product(y,y),complement(intersection(complement(identity_relation),complement(complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class)))))))))),intersection(complement(identity_relation),X0)),
inference(unit_resulting_resolution,[],[f21,f436]) ).
fof(f770,plain,
member(not_subclass_element(cross_product(y,y),complement(intersection(complement(identity_relation),complement(complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class)))))))))),intersection(complement(identity_relation),complement(complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class))))))))),
inference(unit_resulting_resolution,[],[f25,f282,f276]) ).
fof(f776,plain,
$false,
inference(forward_subsumption_resolution,[],[f770,f468]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM049-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n011.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 18:45:16 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 6.06/1.84 % (2686758)Input is clausal, will run a generic CNF schedule.
% 6.06/1.84 % (2686769)dis-21_1_sil=8000:lcm=predicate:random_seed=884054807: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)
% 6.06/1.84 % (2686763)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=4290790225:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.06/1.84 % (2686765)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2067659986:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.06/1.84 % (2686768)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=335153179:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.06/1.84 % (2686764)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3119382114:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.06/1.84 % (2686766)lrs+10_1_sil=8000:sp=occurrence:random_seed=4090554527:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.06/1.84 % (2686767)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2645960841:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.06/1.84 % (2686769)Instruction limit reached!
% 6.06/1.84 % (2686769)------------------------------
% 6.06/1.84 % (2686769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.06/1.84 % (2686769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.06/1.84 % (2686769)CaDiCaL version: 2.1.3
% 6.06/1.84 % (2686769)Termination reason: Instruction limit
% 6.06/1.84 % (2686769)Termination phase: Saturation
% 6.06/1.84 % (2686769)Time elapsed: 0.030 s
% 6.06/1.84 % (2686769)Peak memory usage: 89 MB
% 6.06/1.84 % (2686769)Instructions burned: 122 (million)
% 6.06/1.84 % (2686767)Instruction limit reached!
% 6.06/1.84 % (2686767)------------------------------
% 6.06/1.84 % (2686767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.06/1.84 % (2686767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.06/1.84 % (2686767)CaDiCaL version: 2.1.3
% 6.06/1.84 % (2686767)Termination reason: Instruction limit
% 6.06/1.84 % (2686767)Termination phase: Saturation
% 6.06/1.84 % (2686767)Time elapsed: 0.070 s
% 6.06/1.84 % (2686767)Peak memory usage: 89 MB
% 6.06/1.84 % (2686767)Instructions burned: 115 (million)
% 6.06/1.84 % (2686766)Instruction limit reached!
% 6.06/1.84 % (2686766)------------------------------
% 6.06/1.84 % (2686766)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.06/1.84 % (2686766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.06/1.84 % (2686766)CaDiCaL version: 2.1.3
% 6.06/1.84 % (2686766)Termination reason: Instruction limit
% 6.06/1.84 % (2686766)Termination phase: Saturation
% 6.06/1.84 % (2686766)Time elapsed: 0.072 s
% 6.06/1.84 % (2686766)Peak memory usage: 89 MB
% 6.06/1.84 % (2686766)Instructions burned: 108 (million)
% 6.06/1.84 % (2686777)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=4009904932:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 6.06/1.84 % (2686777)Refutation not found, incomplete strategy
% 6.06/1.84 % (2686777)------------------------------
% 6.06/1.84 % (2686777)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.06/1.84 % (2686777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.06/1.84 % (2686777)CaDiCaL version: 2.1.3
% 6.06/1.84 % (2686777)Termination reason: Refutation not found, incomplete strategy
% 6.06/1.84 % (2686777)Time elapsed: 0.002 s
% 6.06/1.84 % (2686777)Peak memory usage: 88 MB
% 6.06/1.84 % (2686777)Instructions burned: 3 (million)
% 6.06/1.84 % (2686768)Instruction limit reached!
% 6.06/1.84 % (2686768)------------------------------
% 6.06/1.84 % (2686768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.06/1.84 % (2686768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.06/1.84 % (2686768)CaDiCaL version: 2.1.3
% 6.06/1.84 % (2686768)Termination reason: Instruction limit
% 6.06/1.84 % (2686768)Termination phase: Saturation
% 6.06/1.84 % (2686768)Time elapsed: 0.143 s
% 6.06/1.84 % (2686768)Peak memory usage: 90 MB
% 6.06/1.84 % (2686768)Instructions burned: 181 (million)
% 6.06/1.84 % (2686778)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1329457527: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)
% 7.47/2.03 % (2686779)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=478937391:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 7.47/2.03 % (2686779)Refutation not found, incomplete strategy
% 7.47/2.03 % (2686779)------------------------------
% 7.47/2.03 % (2686779)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.47/2.03 % (2686779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.47/2.03 % (2686779)CaDiCaL version: 2.1.3
% 7.47/2.03 % (2686779)Termination reason: Refutation not found, incomplete strategy
% 7.47/2.03 % (2686779)Time elapsed: 0.004 s
% 7.47/2.03 % (2686779)Peak memory usage: 88 MB
% 7.47/2.03 % (2686779)Instructions burned: 4 (million)
% 7.47/2.03 % (2686777)------------------------------
% 7.47/2.03 % (2686777)------------------------------
% 7.47/2.03 % (2686781)lrs+10_64_to=lpo:sil=8000:random_seed=3441989579:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 7.47/2.03 % (2686778)Instruction limit reached!
% 7.47/2.03 % (2686778)------------------------------
% 7.47/2.03 % (2686778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.47/2.03 % (2686778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.47/2.03 % (2686778)CaDiCaL version: 2.1.3
% 7.47/2.03 % (2686778)Termination reason: Instruction limit
% 7.47/2.03 % (2686778)Termination phase: Saturation
% 7.47/2.03 % (2686778)Time elapsed: 0.102 s
% 7.47/2.03 % (2686778)Peak memory usage: 90 MB
% 7.47/2.03 % (2686778)Instructions burned: 189 (million)
% 7.47/2.03 % (2686781)Instruction limit reached!
% 7.47/2.03 % (2686781)------------------------------
% 7.47/2.03 % (2686781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.47/2.03 % (2686781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.47/2.03 % (2686781)CaDiCaL version: 2.1.3
% 7.47/2.03 % (2686781)Termination reason: Instruction limit
% 7.47/2.03 % (2686781)Termination phase: Saturation
% 7.47/2.03 % (2686781)Time elapsed: 0.082 s
% 7.47/2.03 % (2686781)Peak memory usage: 89 MB
% 7.47/2.03 % (2686781)Instructions burned: 127 (million)
% 7.47/2.03 % (2686784)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3820786353:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 7.47/2.03 % (2686784)Instruction limit reached!
% 7.47/2.03 % (2686784)------------------------------
% 7.47/2.03 % (2686784)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.47/2.03 % (2686784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.47/2.03 % (2686784)CaDiCaL version: 2.1.3
% 7.47/2.03 % (2686784)Termination reason: Instruction limit
% 7.47/2.03 % (2686784)Termination phase: Saturation
% 7.47/2.03 % (2686784)Time elapsed: 0.066 s
% 7.47/2.03 % (2686784)Peak memory usage: 90 MB
% 7.47/2.03 % (2686784)Instructions burned: 195 (million)
% 7.47/2.03 % (2686786)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1417601838:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 7.47/2.03 % (2686779)------------------------------
% 7.47/2.03 % (2686779)------------------------------
% 7.47/2.03 % (2686788)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2031976780:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 7.47/2.03 % (2686789)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=3179532563:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 7.47/2.03 % (2686789)Instruction limit reached!
% 7.47/2.03 % (2686789)------------------------------
% 7.47/2.03 % (2686789)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.47/2.03 % (2686789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.47/2.03 % (2686789)CaDiCaL version: 2.1.3
% 7.47/2.03 % (2686789)Termination reason: Instruction limit
% 7.47/2.03 % (2686789)Termination phase: Saturation
% 7.47/2.03 % (2686789)Time elapsed: 0.035 s
% 7.47/2.03 % (2686789)Peak memory usage: 90 MB
% 7.47/2.03 % (2686789)Instructions burned: 108 (million)
% 7.47/2.03 % (2686786)Instruction limit reached!
% 7.47/2.03 % (2686786)------------------------------
% 7.47/2.03 % (2686786)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.47/2.03 % (2686786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.47/2.03 % (2686786)CaDiCaL version: 2.1.3
% 7.47/2.03 % (2686786)Termination reason: Instruction limit
% 7.47/2.03 % (2686786)Termination phase: Saturation
% 7.47/2.03 % (2686786)Time elapsed: 0.113 s
% 7.47/2.03 % (2686786)Peak memory usage: 91 MB
% 7.47/2.03 % (2686786)Instructions burned: 157 (million)
% 7.47/2.03 % (2686791)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1647957782:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 7.47/2.03 % (2686764)First to succeed.
% 7.47/2.03 % (2686791)Instruction limit reached!
% 7.47/2.03 % (2686791)------------------------------
% 7.47/2.03 % (2686791)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.47/2.03 % (2686791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.47/2.03 % (2686791)CaDiCaL version: 2.1.3
% 7.47/2.03 % (2686791)Termination reason: Instruction limit
% 7.47/2.03 % (2686791)Termination phase: Saturation
% 7.47/2.03 % (2686791)Time elapsed: 0.075 s
% 7.47/2.03 % (2686791)Peak memory usage: 89 MB
% 7.47/2.03 % (2686791)Instructions burned: 108 (million)
% 7.47/2.03 % (2686764)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2686758"
% 7.47/2.03 % (2686794)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3542335864:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 7.47/2.03 % (2686795)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3311213519:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 7.47/2.03 % (2686798)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1351885110:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 7.47/2.03 % (2686764)Refutation found. Thanks to Tanya!
% 7.47/2.03 % SZS status Unsatisfiable for theBenchmark
% 7.47/2.03 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/2.03 % (2686764)------------------------------
% 0.16/2.03 % (2686764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/2.03 % (2686764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/2.03 % (2686764)CaDiCaL version: 2.1.3
% 0.16/2.03 % (2686764)Termination reason: Refutation
% 0.16/2.03 % (2686764)Time elapsed: 0.678 s
% 0.16/2.03 % (2686764)Peak memory usage: 130 MB
% 0.16/2.03 % (2686764)Instructions burned: 1129 (million)
% 0.16/2.03 % (2686764)------------------------------
% 0.16/2.03 % (2686764)------------------------------
% 0.16/2.03 % (2686758)Success in time 0.99 s
% 0.16/2.03 % Vampire exiting
%------------------------------------------------------------------------------