%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET064+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 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 12:39:53 PM UTC 2026
% Result : Theorem 3.42s 1.36s
% Output : Refutation 3.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 5 unt; 1 def)
% Number of atoms : 31 ( 10 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 25 ( 9 ~; 6 |; 8 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 17 ( 12 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f41,axiom,
! [X0] :
( X0 != null_class
=> ? [X1] :
( member(X1,universal_class)
& member(X1,X0)
& disjoint(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity) ).
fof(f44,conjecture,
! [X0] :
( X0 = null_class
| ? [X1] : member(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',null_class_is_unique) ).
fof(f45,negated_conjecture,
~ ! [X0] :
( X0 = null_class
| ? [X1] : member(X1,X0) ),
inference(negated_conjecture,[status(cth)],[f44]) ).
fof(f47,plain,
? [X0] :
( null_class != X0
& ! [X1] : ~ member(X1,X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f51,plain,
! [X0] :
( ? [X1] :
( member(X1,universal_class)
& member(X1,X0)
& disjoint(X1,X0) )
| null_class = X0 ),
inference(ennf_transformation,[],[f41]) ).
fof(f60,plain,
( null_class != sK0
& ! [X1] : ~ member(X1,sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f47]) ).
fof(f71,plain,
! [X0] :
( ( member(sK3(X0),universal_class)
& member(sK3(X0),X0)
& disjoint(sK3(X0),X0) )
| null_class = X0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X1,sK3(X0))],[f51]) ).
fof(f99,plain,
! [X1] : ~ member(X1,sK0),
inference(cnf_transformation,[],[f60]) ).
fof(f100,plain,
null_class != sK0,
inference(cnf_transformation,[],[f60]) ).
fof(f120,plain,
! [X0] :
( member(sK3(X0),X0)
| null_class = X0 ),
inference(cnf_transformation,[],[f71]) ).
fof(f224,definition,
! [X0,X1] :
( sQ7_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(definition,[new_symbols(definition,[sQ7_eqProxy])],[equality_proxy_definition]) ).
fof(f225,plain,
~ sQ7_eqProxy(null_class,sK0),
inference(equality_proxy_replacement,[],[f100,f224]) ).
fof(f230,plain,
! [X0] :
( sQ7_eqProxy(null_class,X0)
| member(sK3(X0),X0) ),
inference(equality_proxy_replacement,[],[f120,f224]) ).
fof(f247,plain,
member(sK3(sK0),sK0),
inference(resolution,[],[f230,f225]) ).
fof(f249,plain,
$false,
inference(resolution,[],[f247,f99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET064+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n005.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 00:27:47 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 3.42/1.36 % (323285)Detected formulas, will run a generic FOF schedule.
% 3.42/1.36 % (323290)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=2373788349:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.42/1.36 % (323291)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3966026611:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.42/1.36 % (323294)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2997723639:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.42/1.36 % (323293)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=938684947:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.42/1.36 % (323296)dis-21_1_sil=8000:lcm=predicate:random_seed=3105720234:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.42/1.36 % (323292)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1750069937:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.42/1.36 % (323295)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1991546732:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.42/1.36 % (323294)Refutation not found, incomplete strategy
% 3.42/1.36 % (323294)------------------------------
% 3.42/1.36 % (323294)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/1.36 % (323294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/1.36 % (323293)Refutation not found, incomplete strategy
% 3.42/1.36 % (323293)------------------------------
% 3.42/1.36 % (323293)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/1.36 % (323294)CaDiCaL version: 2.1.3
% 3.42/1.36 % (323293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/1.36 % (323294)Termination reason: Refutation not found, incomplete strategy
% 3.42/1.36 % (323294)Time elapsed: 0.001 s
% 3.42/1.36 % (323294)Peak memory usage: 87 MB
% 3.42/1.36 % (323293)CaDiCaL version: 2.1.3
% 3.42/1.36 % (323293)Termination reason: Refutation not found, incomplete strategy
% 3.42/1.36 % (323293)Time elapsed: 0.001 s
% 3.42/1.36 % (323293)Peak memory usage: 87 MB
% 3.42/1.36 % (323296)First to succeed.
% 3.42/1.36 % (323295)Also succeeded, but the first one will report.
% 3.42/1.36 % (323296)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-323285"
% 3.42/1.36 % (323294)------------------------------
% 3.42/1.36 % (323294)------------------------------
% 3.42/1.36 % (323293)------------------------------
% 3.42/1.36 % (323293)------------------------------
% 3.42/1.36 % (323296)Refutation found. Thanks to Tanya!
% 3.42/1.36 % SZS status Theorem for theBenchmark
% 3.42/1.36 % SZS output start Proof for theBenchmark
% See solution above
% 3.42/1.36 % (323296)------------------------------
% 3.42/1.36 % (323296)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/1.36 % (323296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/1.36 % (323296)CaDiCaL version: 2.1.3
% 3.42/1.36 % (323296)Termination reason: Refutation
% 3.42/1.36 % (323296)Time elapsed: 0.004 s
% 3.42/1.36 % (323296)Peak memory usage: 88 MB
% 3.42/1.36 % (323296)Instructions burned: 5 (million)
% 3.42/1.36 % (323296)------------------------------
% 3.42/1.36 % (323296)------------------------------
% 3.42/1.36 % (323285)Success in time 0.413 s
% 3.42/1.36 % Vampire exiting
%------------------------------------------------------------------------------