%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET001-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n014.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 12:42:30 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.46s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% 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 : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ subset(X1,X2)
| ~ member(X0,X1)
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET001-0.ax',membership_in_subsets) ).
fof(f4,axiom,
! [X0,X1] :
( ~ equal_sets(X0,X1)
| subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET001-0.ax',set_equal_sets_are_subsets1) ).
fof(f7,axiom,
equal_sets(b,bb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_equals_bb) ).
fof(f8,axiom,
member(element_of_b,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_of_b) ).
fof(f9,negated_conjecture,
~ member(element_of_b,bb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_element_of_bb) ).
fof(f10,plain,
subset(b,bb),
inference(resolution,[],[f4,f7]) ).
fof(f14,plain,
! [X0] :
( ~ member(X0,b)
| member(X0,bb) ),
inference(resolution,[],[f1,f10]) ).
fof(f26,plain,
member(element_of_b,bb),
inference(resolution,[],[f14,f8]) ).
fof(f28,plain,
$false,
inference(forward_subsumption_resolution,[],[f26,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET001-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n014.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 28 00:02:32 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 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
% 0.15/0.46 % (1307664)Will run a generic schedule for satisfiability detection.
% 0.15/0.46 % (1307672)dis+10_1_sil=32000:sp=arity:random_seed=4140013946:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.46 % (1307672) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1307664-1307672"...
% 0.15/0.46 % (1307672)...printing done.
% 0.15/0.46 % (1307672)Refutation found. Thanks to Tanya!
% 0.15/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.46 % (1307672)------------------------------
% 0.15/0.46 % (1307672)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.46 % (1307672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.46 % (1307672)CaDiCaL version: 2.1.3
% 0.15/0.46 % (1307672)Termination reason: Refutation
% 0.15/0.46 % (1307672)Time elapsed: 0.001 s
% 0.15/0.46 % (1307672)Peak memory usage: 11 MB
% 0.15/0.46 % (1307664)Success in time 0.036 s
% 0.15/0.46 % Vampire exiting
%------------------------------------------------------------------------------