%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET065-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n007.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 12:42:55 PM UTC 2026
% Result : Unsatisfiable 0.03s 0.45s
% Output : Refutation 0.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of formulae : 9 ( 6 unt; 0 def)
% Number of atoms : 13 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 7 ( 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_members) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
fof(f48,axiom,
! [X0] :
( ~ inductive(X0)
| member(null_class,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',inductive1) ).
fof(f51,axiom,
inductive(omega),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',omega_is_inductive1) ).
fof(f101,negated_conjecture,
~ member(null_class,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_null_class_is_a_set_1) ).
fof(f153,plain,
member(null_class,omega),
inference(resolution,[],[f48,f51]) ).
fof(f159,plain,
! [X0,X1] :
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(resolution,[],[f1,f4]) ).
fof(f172,plain,
member(null_class,universal_class),
inference(resolution,[],[f159,f153]) ).
fof(f174,plain,
$false,
inference(forward_subsumption_resolution,[],[f172,f101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET065-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n007.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 00:26:10 UTC 2026
% 0.03/0.38 % CPUTime :
% 0.03/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.03/0.41 Running first-order model finding
% 0.03/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.45 % (1921696)Will run a generic schedule for satisfiability detection.
% 0.03/0.45 % (1921705)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3867863046:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.03/0.45 % (1921705) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1921696-1921705"...
% 0.03/0.45 % (1921705)...printing done.
% 0.03/0.45 % (1921702)% WARNING: option uhcvi not known.
% 0.03/0.45 % (1921705)Refutation found. Thanks to Tanya!
% 0.03/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.03/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.03/0.45 % (1921705)------------------------------
% 0.03/0.45 % (1921705)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.03/0.45 % (1921705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.03/0.45 % (1921705)CaDiCaL version: 2.1.3
% 0.03/0.45 % (1921705)Termination reason: Refutation
% 0.03/0.45 % (1921705)Time elapsed: 0.003 s
% 0.03/0.45 % (1921705)Peak memory usage: 11 MB
% 0.03/0.45 % (1921705)Instructions burned: 9 (million)
% 0.03/0.45 % (1921696)Success in time 0.033 s
% 0.03/0.45 % Vampire exiting
%------------------------------------------------------------------------------