%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET337-6 : 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 : n006.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 12:40:47 PM UTC 2026
% Result : Unsatisfiable 11.93s 2.55s
% Output : Refutation 12.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 21
% Syntax : Number of formulae : 73 ( 30 unt; 0 def)
% Number of atoms : 129 ( 65 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 97 ( 41 ~; 56 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 3 con; 0-3 aty)
% Number of variables : 124 ( 124 !; 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(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).
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(f29,axiom,
! [X2,X0,X1] : intersection(cross_product(X0,X1),X2) = restrict(X2,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',restriction2) ).
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(f36,axiom,
! [X0] : subclass(flip(X0),cross_product(cross_product(universal_class,universal_class),universal_class)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',flip1) ).
fof(f37,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(ordered_pair(X0,X1),X2),flip(X3))
| member(ordered_pair(ordered_pair(X1,X0),X2),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',flip2) ).
fof(f39,axiom,
! [X0] : domain_of(flip(cross_product(X0,universal_class))) = inverse(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f40,axiom,
! [X0] : domain_of(inverse(X0)) = range_of(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',range_of) ).
fof(f43,axiom,
! [X0,X1] : range_of(restrict(X0,X1,universal_class)) = image(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',image) ).
fof(f67,axiom,
! [X0] :
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity1) ).
fof(f68,plain,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
inference(reorient_equations,[],[f67]) ).
fof(f69,axiom,
! [X0] :
( X0 = null_class
| intersection(X0,regular(X0)) = null_class ),
file('/export/starexec/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,
image(null_class,x) != null_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_2_image_property1_1) ).
fof(f123,plain,
null_class != image(null_class,x),
inference(reorient_equations,[],[f122]) ).
fof(f125,plain,
! [X0] : range_of(X0) = domain_of(domain_of(flip(cross_product(X0,universal_class)))),
inference(definition_unfolding,[],[f40,f39]) ).
fof(f126,plain,
! [X0,X1] : image(X0,X1) = domain_of(domain_of(flip(cross_product(intersection(cross_product(X1,universal_class),X0),universal_class)))),
inference(definition_unfolding,[],[f43,f125,f29]) ).
fof(f136,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(f137,plain,
null_class != domain_of(domain_of(flip(cross_product(intersection(cross_product(x,universal_class),null_class),universal_class)))),
inference(definition_unfolding,[],[f123,f126]) ).
fof(f153,plain,
! [X0,X1] :
( null_class != intersection(cross_product(unordered_pair(X1,X1),universal_class),X0)
| ~ member(X1,domain_of(X0)) ),
inference(definition_unfolding,[],[f30,f29,f12]) ).
fof(f154,plain,
! [X2,X0,X1] : intersection(X0,cross_product(X1,X2)) = intersection(cross_product(X1,X2),X0),
inference(definition_unfolding,[],[f28,f29]) ).
fof(f155,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,f136]) ).
fof(f173,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X2,X2))),flip(X3))
| member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(X2,X2))),X3) ),
inference(definition_unfolding,[],[f37,f136,f136,f136,f136]) ).
fof(f180,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,f136]) ).
fof(f195,plain,
null_class != domain_of(domain_of(flip(cross_product(intersection(null_class,cross_product(x,universal_class)),universal_class)))),
inference(forward_demodulation,[],[f137,f154]) ).
fof(f210,plain,
! [X0,X1] :
( member(regular(X0),X1)
| ~ subclass(X0,X1)
| null_class = X0 ),
inference(resolution,[],[f1,f68]) ).
fof(f220,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f21,f2]) ).
fof(f226,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X1)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f22,f2]) ).
fof(f232,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X0)
| subclass(intersection(X0,X1),X0) ),
inference(resolution,[],[f220,f3]) ).
fof(f237,plain,
! [X0,X1] : subclass(intersection(X0,X1),X0),
inference(duplicate_literal_removal,[],[f232]) ).
fof(f239,plain,
! [X0] :
( subclass(null_class,X0)
| null_class = X0 ),
inference(superposition,[],[f237,f70]) ).
fof(f240,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X1)
| subclass(intersection(X0,X1),X1) ),
inference(resolution,[],[f226,f3]) ).
fof(f245,plain,
! [X0,X1] : subclass(intersection(X0,X1),X1),
inference(duplicate_literal_removal,[],[f240]) ).
fof(f248,plain,
! [X0] :
( null_class = X0
| ~ subclass(X0,null_class)
| null_class = X0 ),
inference(resolution,[],[f239,f7]) ).
fof(f249,plain,
! [X0] :
( ~ subclass(X0,null_class)
| null_class = X0 ),
inference(duplicate_literal_removal,[],[f248]) ).
fof(f250,plain,
! [X0] : null_class = intersection(null_class,X0),
inference(resolution,[],[f249,f237]) ).
fof(f251,plain,
! [X0] : null_class = intersection(X0,null_class),
inference(resolution,[],[f249,f245]) ).
fof(f254,plain,
! [X0] :
( null_class != null_class
| ~ member(X0,domain_of(null_class)) ),
inference(superposition,[],[f153,f251]) ).
fof(f261,plain,
! [X0] : ~ member(X0,domain_of(null_class)),
inference(trivial_inequality_removal,[],[f254]) ).
fof(f262,plain,
null_class = domain_of(null_class),
inference(resolution,[],[f261,f68]) ).
fof(f268,plain,
! [X0] : ~ member(X0,null_class),
inference(superposition,[],[f261,f262]) ).
fof(f296,plain,
null_class != domain_of(domain_of(flip(cross_product(null_class,universal_class)))),
inference(superposition,[],[f195,f250]) ).
fof(f482,plain,
! [X0,X1] :
( regular(cross_product(X0,X1)) = unordered_pair(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),unordered_pair(first(regular(cross_product(X0,X1))),unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1))))))
| cross_product(X0,X1) = null_class ),
inference(resolution,[],[f155,f68]) ).
fof(f486,plain,
! [X2,X0,X1] :
( ~ subclass(X0,cross_product(X1,X2))
| regular(X0) = unordered_pair(unordered_pair(first(regular(X0)),first(regular(X0))),unordered_pair(first(regular(X0)),unordered_pair(second(regular(X0)),second(regular(X0)))))
| null_class = X0 ),
inference(resolution,[],[f155,f210]) ).
fof(f494,plain,
! [X0] :
( regular(flip(X0)) = unordered_pair(unordered_pair(first(regular(flip(X0))),first(regular(flip(X0)))),unordered_pair(first(regular(flip(X0))),unordered_pair(second(regular(flip(X0))),second(regular(flip(X0))))))
| null_class = flip(X0) ),
inference(resolution,[],[f486,f36]) ).
fof(f499,plain,
! [X2,X0,X1] :
( ~ member(regular(flip(X0)),cross_product(X1,X2))
| member(first(regular(flip(X0))),X1)
| null_class = flip(X0) ),
inference(superposition,[],[f180,f494]) ).
fof(f507,plain,
! [X2,X0,X1] :
( member(first(regular(flip(X0))),X1)
| null_class = flip(X0)
| ~ subclass(flip(X0),cross_product(X1,X2))
| null_class = flip(X0) ),
inference(resolution,[],[f499,f210]) ).
fof(f508,plain,
! [X2,X0,X1] :
( ~ subclass(flip(X0),cross_product(X1,X2))
| null_class = flip(X0)
| member(first(regular(flip(X0))),X1) ),
inference(duplicate_literal_removal,[],[f507]) ).
fof(f511,plain,
! [X0] :
( member(first(regular(flip(X0))),cross_product(universal_class,universal_class))
| null_class = flip(X0) ),
inference(resolution,[],[f508,f36]) ).
fof(f512,plain,
! [X0] :
( first(regular(flip(X0))) = unordered_pair(unordered_pair(first(first(regular(flip(X0)))),first(first(regular(flip(X0))))),unordered_pair(first(first(regular(flip(X0)))),unordered_pair(second(first(regular(flip(X0)))),second(first(regular(flip(X0)))))))
| null_class = flip(X0) ),
inference(resolution,[],[f511,f155]) ).
fof(f516,plain,
! [X2,X0,X1] :
( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(first(regular(flip(X0)))),second(first(regular(flip(X0))))),unordered_pair(second(first(regular(flip(X0)))),unordered_pair(first(first(regular(flip(X0)))),first(first(regular(flip(X0))))))),unordered_pair(unordered_pair(second(first(regular(flip(X0)))),second(first(regular(flip(X0))))),unordered_pair(second(first(regular(flip(X0)))),unordered_pair(first(first(regular(flip(X0)))),first(first(regular(flip(X0)))))))),unordered_pair(unordered_pair(unordered_pair(second(first(regular(flip(X0)))),second(first(regular(flip(X0))))),unordered_pair(second(first(regular(flip(X0)))),unordered_pair(first(first(regular(flip(X0)))),first(first(regular(flip(X0))))))),unordered_pair(X1,X1))),X2)
| ~ member(unordered_pair(unordered_pair(first(regular(flip(X0))),first(regular(flip(X0)))),unordered_pair(first(regular(flip(X0))),unordered_pair(X1,X1))),flip(X2))
| null_class = flip(X0) ),
inference(superposition,[],[f173,f512]) ).
fof(f547,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(first(regular(flip(X0))),first(regular(flip(X0)))),unordered_pair(first(regular(flip(X0))),unordered_pair(X1,X1))),flip(null_class))
| null_class = flip(X0) ),
inference(resolution,[],[f516,f268]) ).
fof(f550,plain,
! [X0] :
( ~ member(regular(flip(X0)),flip(null_class))
| null_class = flip(X0)
| null_class = flip(X0) ),
inference(superposition,[],[f547,f494]) ).
fof(f551,plain,
! [X0] :
( ~ member(regular(flip(X0)),flip(null_class))
| null_class = flip(X0) ),
inference(duplicate_literal_removal,[],[f550]) ).
fof(f552,plain,
( null_class = flip(null_class)
| null_class = flip(null_class) ),
inference(resolution,[],[f551,f68]) ).
fof(f555,plain,
null_class = flip(null_class),
inference(duplicate_literal_removal,[],[f552]) ).
fof(f606,plain,
! [X2,X3,X0,X1] :
( ~ member(regular(cross_product(X0,X1)),cross_product(X2,X3))
| member(first(regular(cross_product(X0,X1))),X2)
| cross_product(X0,X1) = null_class ),
inference(superposition,[],[f180,f482]) ).
fof(f614,plain,
! [X0,X1] :
( member(first(regular(cross_product(X0,X1))),X0)
| cross_product(X0,X1) = null_class
| cross_product(X0,X1) = null_class ),
inference(resolution,[],[f606,f68]) ).
fof(f617,plain,
! [X0,X1] :
( member(first(regular(cross_product(X0,X1))),X0)
| cross_product(X0,X1) = null_class ),
inference(duplicate_literal_removal,[],[f614]) ).
fof(f625,plain,
! [X0] : null_class = cross_product(null_class,X0),
inference(resolution,[],[f617,f268]) ).
fof(f628,plain,
null_class != domain_of(domain_of(flip(null_class))),
inference(superposition,[],[f296,f625]) ).
fof(f647,plain,
null_class != domain_of(domain_of(null_class)),
inference(forward_demodulation,[],[f628,f555]) ).
fof(f649,plain,
null_class != domain_of(null_class),
inference(forward_demodulation,[],[f647,f262]) ).
fof(f650,plain,
$false,
inference(forward_subsumption_resolution,[],[f649,f262]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET337-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.35 % Computer : n006.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8046.5625MB
% 0.12/0.35 % OS : Linux 6.8.0-71-generic
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Mon Sep 28 01:28:40 UTC 2026
% 0.14/0.35 % CPUTime :
% 0.14/0.35 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.39 Running first-order theorem proving
% 0.14/0.39 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
% 10.62/2.37 % (3507372)Input is clausal, will run a generic CNF schedule.
% 10.62/2.37 % (3507383)dis-21_1_sil=8000:lcm=predicate:random_seed=2587146618: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)
% 10.62/2.37 % (3507383)Instruction limit reached!
% 10.62/2.37 % (3507383)------------------------------
% 10.62/2.37 % (3507383)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.62/2.37 % (3507383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.62/2.37 % (3507378)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2314849208:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.62/2.37 % (3507380)lrs+10_1_sil=8000:sp=occurrence:random_seed=3638616489:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.62/2.37 % (3507383)CaDiCaL version: 2.1.3
% 10.62/2.37 % (3507377)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=2838017048:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.62/2.37 % (3507379)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=750964148:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.62/2.37 % (3507383)Termination reason: Instruction limit
% 10.62/2.37 % (3507383)Termination phase: Saturation
% 10.62/2.37 % (3507383)Time elapsed: 0.038 s
% 10.62/2.37 % (3507383)Peak memory usage: 89 MB
% 10.62/2.37 % (3507383)Instructions burned: 126 (million)
% 10.62/2.37 % (3507381)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3280123673:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.62/2.37 % (3507382)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3824734361:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.62/2.37 % (3507381)Instruction limit reached!
% 10.62/2.37 % (3507381)------------------------------
% 10.62/2.37 % (3507381)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.62/2.37 % (3507381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.62/2.37 % (3507381)CaDiCaL version: 2.1.3
% 10.62/2.37 % (3507381)Termination reason: Instruction limit
% 10.62/2.37 % (3507381)Termination phase: Saturation
% 10.62/2.37 % (3507381)Time elapsed: 0.039 s
% 10.62/2.37 % (3507381)Peak memory usage: 89 MB
% 10.62/2.37 % (3507381)Instructions burned: 117 (million)
% 10.62/2.37 % (3507380)Instruction limit reached!
% 10.62/2.37 % (3507380)------------------------------
% 10.62/2.37 % (3507380)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.62/2.37 % (3507380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.62/2.37 % (3507380)CaDiCaL version: 2.1.3
% 10.62/2.37 % (3507380)Termination reason: Instruction limit
% 10.62/2.37 % (3507380)Termination phase: Saturation
% 10.62/2.37 % (3507380)Time elapsed: 0.040 s
% 10.62/2.37 % (3507380)Peak memory usage: 88 MB
% 10.62/2.37 % (3507380)Instructions burned: 110 (million)
% 10.62/2.37 % (3507382)Instruction limit reached!
% 10.62/2.37 % (3507382)------------------------------
% 10.62/2.37 % (3507382)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.62/2.37 % (3507382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.62/2.37 % (3507382)CaDiCaL version: 2.1.3
% 10.62/2.37 % (3507382)Termination reason: Instruction limit
% 10.62/2.37 % (3507382)Termination phase: Saturation
% 10.62/2.37 % (3507382)Time elapsed: 0.135 s
% 10.62/2.37 % (3507382)Peak memory usage: 90 MB
% 10.62/2.37 % (3507382)Instructions burned: 181 (million)
% 10.62/2.37 % (3507391)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=3760460394:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 10.62/2.37 % (3507391)Refutation not found, incomplete strategy
% 10.62/2.37 % (3507391)------------------------------
% 10.62/2.37 % (3507391)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.62/2.37 % (3507391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.62/2.37 % (3507391)CaDiCaL version: 2.1.3
% 10.62/2.37 % (3507391)Termination reason: Refutation not found, incomplete strategy
% 10.62/2.37 % (3507391)Time elapsed: 0.004 s
% 10.62/2.37 % (3507391)Peak memory usage: 88 MB
% 10.62/2.37 % (3507391)Instructions burned: 4 (million)
% 10.62/2.37 % (3507393)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3797299527:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 11.93/2.55 % (3507393)Refutation not found, incomplete strategy
% 11.93/2.55 % (3507393)------------------------------
% 11.93/2.55 % (3507393)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.93/2.55 % (3507393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.93/2.55 % (3507393)CaDiCaL version: 2.1.3
% 11.93/2.55 % (3507393)Termination reason: Refutation not found, incomplete strategy
% 11.93/2.55 % (3507393)Time elapsed: 0.002 s
% 11.93/2.55 % (3507393)Peak memory usage: 88 MB
% 11.93/2.55 % (3507393)Instructions burned: 3 (million)
% 11.93/2.55 % (3507392)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4005240735: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)
% 11.93/2.55 % (3507394)lrs+10_64_to=lpo:sil=8000:random_seed=1348409637:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 11.93/2.55 % (3507392)Instruction limit reached!
% 11.93/2.55 % (3507392)------------------------------
% 11.93/2.55 % (3507392)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.93/2.55 % (3507392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.93/2.55 % (3507392)CaDiCaL version: 2.1.3
% 11.93/2.55 % (3507392)Termination reason: Instruction limit
% 11.93/2.55 % (3507392)Termination phase: Saturation
% 11.93/2.55 % (3507392)Time elapsed: 0.110 s
% 11.93/2.55 % (3507392)Peak memory usage: 91 MB
% 11.93/2.55 % (3507392)Instructions burned: 190 (million)
% 11.93/2.55 % (3507393)------------------------------
% 11.93/2.55 % (3507393)------------------------------
% 11.93/2.55 % (3507394)Instruction limit reached!
% 11.93/2.55 % (3507394)------------------------------
% 11.93/2.55 % (3507394)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.93/2.55 % (3507394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.93/2.55 % (3507394)CaDiCaL version: 2.1.3
% 11.93/2.55 % (3507394)Termination reason: Instruction limit
% 11.93/2.55 % (3507394)Termination phase: Saturation
% 11.93/2.55 % (3507394)Time elapsed: 0.079 s
% 11.93/2.55 % (3507394)Peak memory usage: 89 MB
% 11.93/2.55 % (3507394)Instructions burned: 127 (million)
% 11.93/2.55 % (3507391)------------------------------
% 11.93/2.55 % (3507391)------------------------------
% 11.93/2.55 % (3507399)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=4098787387:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 11.93/2.55 % (3507400)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=4293606331:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 11.93/2.55 % (3507399)Instruction limit reached!
% 11.93/2.55 % (3507399)------------------------------
% 11.93/2.55 % (3507399)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.93/2.55 % (3507399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.93/2.55 % (3507399)CaDiCaL version: 2.1.3
% 11.93/2.55 % (3507399)Termination reason: Instruction limit
% 11.93/2.55 % (3507399)Termination phase: Saturation
% 11.93/2.55 % (3507399)Time elapsed: 0.063 s
% 11.93/2.55 % (3507399)Peak memory usage: 89 MB
% 11.93/2.55 % (3507399)Instructions burned: 196 (million)
% 11.93/2.55 % (3507401)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2773542343:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 11.93/2.55 % (3507400)Instruction limit reached!
% 11.93/2.55 % (3507400)------------------------------
% 11.93/2.55 % (3507400)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.93/2.55 % (3507400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.93/2.55 % (3507400)CaDiCaL version: 2.1.3
% 11.93/2.55 % (3507400)Termination reason: Instruction limit
% 11.93/2.55 % (3507400)Termination phase: Saturation
% 11.93/2.55 % (3507400)Time elapsed: 0.109 s
% 11.93/2.55 % (3507400)Peak memory usage: 91 MB
% 11.93/2.55 % (3507400)Instructions burned: 158 (million)
% 11.93/2.55 % (3507402)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=3716209843:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 11.93/2.55 % (3507402)Instruction limit reached!
% 11.93/2.55 % (3507402)------------------------------
% 11.93/2.55 % (3507402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.93/2.55 % (3507402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.93/2.55 % (3507402)CaDiCaL version: 2.1.3
% 11.93/2.55 % (3507402)Termination reason: Instruction limit
% 11.93/2.55 % (3507402)Termination phase: Saturation
% 11.93/2.55 % (3507402)Time elapsed: 0.067 s
% 11.93/2.55 % (3507402)Peak memory usage: 89 MB
% 11.93/2.55 % (3507402)Instructions burned: 106 (million)
% 11.93/2.55 % (3507406)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1664859703:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 11.93/2.55 % (3507406)Refutation not found, incomplete strategy
% 11.93/2.55 % (3507406)------------------------------
% 11.93/2.55 % (3507406)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.93/2.55 % (3507406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.93/2.55 % (3507406)CaDiCaL version: 2.1.3
% 11.93/2.55 % (3507406)Termination reason: Refutation not found, incomplete strategy
% 11.93/2.55 % (3507406)Time elapsed: 0.003 s
% 11.93/2.55 % (3507406)Peak memory usage: 88 MB
% 11.93/2.55 % (3507406)Instructions burned: 8 (million)
% 11.93/2.55 % (3507408)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2936014131:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 11.93/2.55 % (3507406)------------------------------
% 11.93/2.55 % (3507406)------------------------------
% 11.93/2.55 % (3507409)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=748386001:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 11.93/2.55 % (3507408)Instruction limit reached!
% 11.93/2.55 % (3507408)------------------------------
% 11.93/2.55 % (3507408)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.93/2.55 % (3507408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.93/2.55 % (3507408)CaDiCaL version: 2.1.3
% 11.93/2.55 % (3507408)Termination reason: Instruction limit
% 11.93/2.55 % (3507408)Termination phase: Saturation
% 11.93/2.55 % (3507408)Time elapsed: 0.161 s
% 11.93/2.55 % (3507408)Peak memory usage: 91 MB
% 11.93/2.55 % (3507408)Instructions burned: 242 (million)
% 11.93/2.55 % (3507413)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=488181549:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 11.93/2.55 % (3507413)Instruction limit reached!
% 11.93/2.55 % (3507413)------------------------------
% 11.93/2.55 % (3507413)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.93/2.55 % (3507413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.93/2.55 % (3507413)CaDiCaL version: 2.1.3
% 11.93/2.55 % (3507413)Termination reason: Instruction limit
% 11.93/2.55 % (3507413)Termination phase: Saturation
% 11.93/2.55 % (3507413)Time elapsed: 0.054 s
% 11.93/2.55 % (3507413)Peak memory usage: 90 MB
% 11.93/2.55 % (3507413)Instructions burned: 136 (million)
% 11.93/2.55 % (3507414)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1649176182:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 11.93/2.55 % (3507416)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2819442032:i=191:fgj=on:bd=all_2988 on theBenchmark for (2988ds/191Mi)
% 11.93/2.55 % (3507416)Instruction limit reached!
% 11.93/2.55 % (3507416)------------------------------
% 11.93/2.55 % (3507416)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.93/2.55 % (3507416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.93/2.55 % (3507416)CaDiCaL version: 2.1.3
% 11.93/2.55 % (3507416)Termination reason: Instruction limit
% 11.93/2.55 % (3507416)Termination phase: Saturation
% 11.93/2.55 % (3507416)Time elapsed: 0.059 s
% 11.93/2.55 % (3507416)Peak memory usage: 89 MB
% 11.93/2.55 % (3507416)Instructions burned: 193 (million)
% 11.93/2.55 % (3507401)First to succeed.
% 11.93/2.55 % (3507401)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3507372"
% 11.93/2.55 % (3507419)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1183090683:i=264:kws=precedence:fsr=off_2986 on theBenchmark for (2986ds/264Mi)
% 11.93/2.55 % (3507414)Instruction limit reached!
% 11.93/2.55 % (3507414)------------------------------
% 11.93/2.55 % (3507414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.93/2.55 % (3507414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.93/2.55 % (3507414)CaDiCaL version: 2.1.3
% 11.93/2.55 % (3507414)Termination reason: Instruction limit
% 11.93/2.55 % (3507414)Termination phase: Saturation
% 11.93/2.55 % (3507414)Time elapsed: 0.293 s
% 11.93/2.55 % (3507414)Peak memory usage: 92 MB
% 11.93/2.55 % (3507414)Instructions burned: 501 (million)
% 11.93/2.55 % (3507419)Instruction limit reached!
% 11.93/2.55 % (3507419)------------------------------
% 11.93/2.55 % (3507419)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.93/2.55 % (3507419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.93/2.55 % (3507419)CaDiCaL version: 2.1.3
% 11.93/2.55 % (3507419)Termination reason: Instruction limit
% 11.93/2.55 % (3507419)Termination phase: Saturation
% 11.93/2.55 % (3507419)Time elapsed: 0.095 s
% 11.93/2.55 % (3507419)Peak memory usage: 92 MB
% 11.93/2.55 % (3507419)Instructions burned: 267 (million)
% 11.93/2.55 % (3507421)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=3162088901:cond=on:i=156:bs=on:gtg=exists_all:er=known_2984 on theBenchmark for (2984ds/156Mi)
% 11.93/2.55 % (3507422)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=343401739:i=3256:kws=precedence:bd=preordered:av=off_2984 on theBenchmark for (2984ds/3256Mi)
% 11.93/2.55 % (3507401)Refutation found. Thanks to Tanya!
% 11.93/2.55 % SZS status Unsatisfiable for theBenchmark
% 11.93/2.55 % SZS output start Proof for theBenchmark
% See solution above
% 12.69/2.75 % (3507401)------------------------------
% 12.69/2.75 % (3507401)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.69/2.75 % (3507401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.69/2.75 % (3507401)CaDiCaL version: 2.1.3
% 12.69/2.75 % (3507401)Termination reason: Refutation
% 12.69/2.75 % (3507401)Time elapsed: 0.755 s
% 12.69/2.75 % (3507401)Peak memory usage: 130 MB
% 12.69/2.75 % (3507401)Instructions burned: 1126 (million)
% 12.69/2.75 % (3507401)------------------------------
% 12.69/2.75 % (3507401)------------------------------
% 12.69/2.75 % (3507372)Success in time 1.716 s
% 12.69/2.75 % Vampire exiting
%------------------------------------------------------------------------------