%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET553-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 12:43:56 PM UTC 2026
% Result : Unsatisfiable 0.19s 5.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 16 ( 8 unt; 0 def)
% Number of atoms : 24 ( 4 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 6 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 4 con; 0-2 aty)
% Number of variables : 25 ( 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection1) ).
fof(f39,axiom,
! [X0] : domain_of(flip(cross_product(X0,universal_class))) = inverse(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',inverse) ).
fof(f81,axiom,
! [X0] : complement(domain_of(intersection(X0,identity_relation))) = diagonalise(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',diagonalisation) ).
fof(f82,axiom,
! [X0] : intersection(domain_of(X0),diagonalise(compose(inverse(element_relation),X0))) = cantor(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cantor_class) ).
fof(f122,negated_conjecture,
~ subclass(cantor(x),domain_of(x)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cantor_class_alternate_defn_1) ).
fof(f135,plain,
! [X0] : cantor(X0) = intersection(domain_of(X0),complement(domain_of(intersection(compose(domain_of(flip(cross_product(element_relation,universal_class))),X0),identity_relation)))),
inference(definition_unfolding,[],[f82,f81,f39]) ).
fof(f185,plain,
~ subclass(intersection(domain_of(x),complement(domain_of(intersection(compose(domain_of(flip(cross_product(element_relation,universal_class))),x),identity_relation)))),domain_of(x)),
inference(definition_unfolding,[],[f122,f135]) ).
fof(f191,plain,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
inference(consistent_polarity_flipping,[],[f2]) ).
fof(f192,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
inference(consistent_polarity_flipping,[],[f3]) ).
fof(f203,plain,
! [X2,X0,X1] :
( ~ member(X0,X1)
| member(X0,intersection(X1,X2)) ),
inference(consistent_polarity_flipping,[],[f21]) ).
fof(f269,plain,
! [X2,X0,X1] :
( member(not_subclass_element(X0,X1),intersection(X1,X2))
| subclass(X0,X1) ),
inference(resolution,[],[f203,f192]) ).
fof(f705,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X0)
| subclass(intersection(X0,X1),X0) ),
inference(resolution,[],[f269,f191]) ).
fof(f715,plain,
! [X0,X1] : subclass(intersection(X0,X1),X0),
inference(duplicate_literal_removal,[],[f705]) ).
fof(f730,plain,
$false,
inference(backward_subsumption_resolution,[],[f185,f715]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET553-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.15/5.44 % Computer : n017.cluster.edu
% 0.15/5.44 % Model : x86_64 x86_64
% 0.15/5.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/5.44 % Memory : 8046.5625MB
% 0.15/5.44 % OS : Linux 6.8.0-71-generic
% 0.15/5.44 % CPULimit : 300
% 0.15/5.44 % WCLimit : 300
% 0.15/5.44 % DateTime : Mon Sep 28 02:03:41 UTC 2026
% 0.15/5.44 % CPUTime :
% 0.15/5.44 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.15/5.47 Running first-order model finding
% 0.15/5.47 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/5.54 % (3148961)Will run a generic schedule for satisfiability detection.
% 0.19/5.54 % (3148967)% WARNING: option uhcvi not known.
% 0.19/5.54 % (3148967)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3841395164:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/5.54 % (3148968)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1483586642:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/5.54 % (3148970)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4271572426:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/5.54 % (3148966)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2457832292_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/5.54 % (3148971)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1841199244:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/5.54 % (3148972)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2801375706:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/5.54 % (3148969)dis+10_1_sil=32000:sp=arity:random_seed=2060818163:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/5.54 % (3148970) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3148961-3148970"...
% 0.19/5.54 % (3148967) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3148961-3148967"...
% 0.19/5.54 % (3148967)...printing done.
% 0.19/5.54 % (3148970)...printing done.
% 0.19/5.54 % (3148967)Refutation found. Thanks to Tanya!
% 0.19/5.54 % SZS status Unsatisfiable for theBenchmark
% 0.19/5.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/5.54 % (3148967)------------------------------
% 0.19/5.54 % (3148967)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/5.54 % (3148967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/5.54 % (3148967)CaDiCaL version: 2.1.3
% 0.19/5.54 % (3148967)Termination reason: Refutation
% 0.19/5.54 % (3148967)Time elapsed: 0.022 s
% 0.19/5.54 % (3148967)Peak memory usage: 12 MB
% 0.19/5.54 % (3148967)Instructions burned: 35 (million)
% 0.19/5.54 % (3148961)Success in time 0.051 s
% 0.19/5.54 % Vampire exiting
%------------------------------------------------------------------------------