%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET027+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n019.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 12:42:42 PM UTC 2026
% Result : Theorem 0.11s 0.45s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 2
% Syntax : Number of formulae : 19 ( 5 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 33 ( 12 ~; 10 |; 6 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 29 ( 23 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subclass(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',subclass_defn) ).
fof(f44,conjecture,
! [X0,X1,X2] :
( ( subclass(X0,X1)
& subclass(X1,X2) )
=> subclass(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).
fof(f45,negated_conjecture,
~ ! [X0,X1,X2] :
( ( subclass(X0,X1)
& subclass(X1,X2) )
=> subclass(X0,X2) ),
inference(negated_conjecture,[status(cth)],[f44]) ).
fof(f47,plain,
! [X0,X1] :
( subclass(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f60,plain,
? [X0,X1,X2] :
( ~ subclass(X0,X2)
& subclass(X0,X1)
& subclass(X1,X2) ),
inference(ennf_transformation,[],[f45]) ).
fof(f61,plain,
? [X0,X1,X2] :
( ~ subclass(X0,X2)
& subclass(X0,X1)
& subclass(X1,X2) ),
inference(flattening,[],[f60]) ).
fof(f62,plain,
! [X2,X0,X1] :
( ~ subclass(X0,X1)
| member(X2,X1)
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f63,plain,
! [X0,X1] :
( member(sK0(X0,X1),X0)
| subclass(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f64,plain,
! [X0,X1] :
( ~ member(sK0(X0,X1),X1)
| subclass(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f149,plain,
subclass(sK7,sK8),
inference(cnf_transformation,[],[f61]) ).
fof(f150,plain,
subclass(sK6,sK7),
inference(cnf_transformation,[],[f61]) ).
fof(f151,plain,
~ subclass(sK6,sK8),
inference(cnf_transformation,[],[f61]) ).
fof(f259,plain,
! [X0] :
( member(X0,sK7)
| ~ member(X0,sK6) ),
inference(resolution,[],[f62,f150]) ).
fof(f260,plain,
! [X0] :
( member(X0,sK8)
| ~ member(X0,sK7) ),
inference(resolution,[],[f62,f149]) ).
fof(f357,plain,
! [X0] :
( ~ member(sK0(X0,sK8),sK7)
| subclass(X0,sK8) ),
inference(resolution,[],[f260,f64]) ).
fof(f363,plain,
! [X0] :
( ~ member(sK0(X0,sK8),sK6)
| subclass(X0,sK8) ),
inference(resolution,[],[f357,f259]) ).
fof(f366,plain,
( subclass(sK6,sK8)
| subclass(sK6,sK8) ),
inference(resolution,[],[f363,f63]) ).
fof(f367,plain,
subclass(sK6,sK8),
inference(duplicate_literal_removal,[],[f366]) ).
fof(f368,plain,
$false,
inference(forward_subsumption_resolution,[],[f367,f151]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET027+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n019.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 00:13:49 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 0.11/0.45 % (3544043)Will run a generic schedule for satisfiability detection.
% 0.11/0.45 % (3544049)% WARNING: option uhcvi not known.
% 0.11/0.45 % (3544049)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1240792385:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.45 % (3544049) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3544043-3544049"...
% 0.11/0.45 % (3544052)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2397657976:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.45 % (3544048)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1190426753_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.45 % (3544050)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2962153831:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.45 % (3544051)dis+10_1_sil=32000:sp=arity:random_seed=1565778405:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.45 % (3544049)...printing done.
% 0.11/0.45 % (3544053)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4174290583:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.45 % (3544054)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=110333360:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/0.45 % (3544049)Refutation found. Thanks to Tanya!
% 0.11/0.45 % SZS status Theorem for theBenchmark
% 0.11/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.45 % (3544049)------------------------------
% 0.11/0.45 % (3544049)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.45 % (3544049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.45 % (3544049)CaDiCaL version: 2.1.3
% 0.11/0.45 % (3544049)Termination reason: Refutation
% 0.11/0.45 % (3544049)Time elapsed: 0.005 s
% 0.11/0.45 % (3544049)Peak memory usage: 12 MB
% 0.11/0.45 % (3544049)Instructions burned: 11 (million)
% 0.11/0.45 % (3544043)Success in time 0.034 s
% 0.11/0.45 % Vampire exiting
%------------------------------------------------------------------------------