%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET084-7 : 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 : n008.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 12:43:02 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.48s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 12 ( 9 unt; 0 def)
% Number of atoms : 15 ( 7 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 4 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X0,X1] :
( ~ member(X0,universal_class)
| member(X0,unordered_pair(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair2) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',singleton_set) ).
fof(f137,axiom,
! [X0,X1] :
( ~ member(X0,singleton(X1))
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',only_member_in_singleton) ).
fof(f139,negated_conjecture,
singleton(x) = singleton(y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_singleton_identified_by_element2_1) ).
fof(f140,negated_conjecture,
member(y,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_singleton_identified_by_element2_2) ).
fof(f141,negated_conjecture,
x != y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_singleton_identified_by_element2_3) ).
fof(f206,plain,
! [X0,X1] :
( ~ member(X0,unordered_pair(X1,X1))
| X0 = X1 ),
inference(definition_unfolding,[],[f137,f12]) ).
fof(f208,plain,
unordered_pair(x,x) = unordered_pair(y,y),
inference(definition_unfolding,[],[f139,f12,f12]) ).
fof(f258,plain,
! [X0] : member(y,unordered_pair(y,X0)),
inference(resolution,[],[f9,f140]) ).
fof(f269,plain,
member(y,unordered_pair(x,x)),
inference(superposition,[],[f258,f208]) ).
fof(f390,plain,
x = y,
inference(resolution,[],[f206,f269]) ).
fof(f398,plain,
$false,
inference(forward_subsumption_resolution,[],[f390,f141]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET084-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 % Computer : n008.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Mon Sep 28 00:35:40 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43 Running first-order model finding
% 0.12/0.43 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
% 0.17/0.48 % (1759917)Will run a generic schedule for satisfiability detection.
% 0.17/0.48 % (1759927)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1968910757:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.48 % (1759923)% WARNING: option uhcvi not known.
% 0.17/0.48 % (1759927) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1759917-1759927"...
% 0.17/0.48 % (1759927)...printing done.
% 0.17/0.48 % (1759927)Refutation found. Thanks to Tanya!
% 0.17/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.48 % (1759927)------------------------------
% 0.17/0.48 % (1759927)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.48 % (1759927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.48 % (1759927)CaDiCaL version: 2.1.3
% 0.17/0.48 % (1759927)Termination reason: Refutation
% 0.17/0.48 % (1759927)Time elapsed: 0.005 s
% 0.17/0.48 % (1759927)Peak memory usage: 12 MB
% 0.17/0.48 % (1759927)Instructions burned: 13 (million)
% 0.17/0.48 % (1759917)Success in time 0.032 s
% 0.17/0.48 % Vampire exiting
%------------------------------------------------------------------------------