%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET084-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n003.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 0.13s 0.44s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 12 ( 9 unt; 0 def)
% Number of atoms : 16 ( 9 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 7 ( 3 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 7 ( 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair_member) ).
fof(f9,axiom,
! [X0,X1] :
( ~ member(X0,universal_class)
| member(X0,unordered_pair(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair2) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',singleton_set) ).
fof(f101,negated_conjecture,
singleton(x) = singleton(y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_identified_by_element2_1) ).
fof(f102,negated_conjecture,
member(y,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_identified_by_element2_2) ).
fof(f103,negated_conjecture,
x != y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_identified_by_element2_3) ).
fof(f152,plain,
unordered_pair(x,x) = unordered_pair(y,y),
inference(definition_unfolding,[],[f101,f12,f12]) ).
fof(f162,plain,
! [X0] : member(y,unordered_pair(y,X0)),
inference(resolution,[],[f9,f102]) ).
fof(f184,plain,
member(y,unordered_pair(x,x)),
inference(superposition,[],[f162,f152]) ).
fof(f283,plain,
( x = y
| x = y ),
inference(resolution,[],[f8,f184]) ).
fof(f290,plain,
x = y,
inference(duplicate_literal_removal,[],[f283]) ).
fof(f292,plain,
$false,
inference(forward_subsumption_resolution,[],[f290,f103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET084-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n003.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 28 00:36:57 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.40 Running first-order model finding
% 0.13/0.40 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
% 0.13/0.44 % (1084055)Will run a generic schedule for satisfiability detection.
% 0.13/0.44 % (1084065)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3292389980:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.13/0.44 % (1084065) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1084055-1084065"...
% 0.13/0.44 % (1084061)% WARNING: option uhcvi not known.
% 0.13/0.44 % (1084065)...printing done.
% 0.13/0.44 % (1084065)Refutation found. Thanks to Tanya!
% 0.13/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.44 % (1084065)------------------------------
% 0.13/0.44 % (1084065)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.13/0.44 % (1084065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/0.44 % (1084065)CaDiCaL version: 2.1.3
% 0.13/0.44 % (1084065)Termination reason: Refutation
% 0.13/0.44 % (1084065)Time elapsed: 0.004 s
% 0.13/0.44 % (1084065)Peak memory usage: 12 MB
% 0.13/0.44 % (1084065)Instructions burned: 10 (million)
% 0.13/0.44 % (1084055)Success in time 0.034 s
% 0.13/0.44 % Vampire exiting
%------------------------------------------------------------------------------