%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET093-6 : 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 : n010.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 12:43:04 PM UTC 2026
% Result : Unsatisfiable 0.23s 0.51s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 10 ( 10 unt; 0 def)
% Number of atoms : 10 ( 4 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 5 ( 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pairs_in_universal) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',singleton_set) ).
fof(f101,negated_conjecture,
singleton(member_of(x)) = x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_2_to_singletons_are_sets_1) ).
fof(f102,plain,
x = singleton(member_of(x)),
inference(reorient_equations,[],[f101]) ).
fof(f103,negated_conjecture,
~ member(x,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_2_to_singletons_are_sets_2) ).
fof(f152,plain,
x = unordered_pair(member_of(x),member_of(x)),
inference(definition_unfolding,[],[f102,f12]) ).
fof(f162,plain,
! [X0,X1] : ~ member(unordered_pair(X0,X1),universal_class),
inference(consistent_polarity_flipping,[],[f11]) ).
fof(f203,plain,
member(x,universal_class),
inference(consistent_polarity_flipping,[],[f103]) ).
fof(f204,plain,
~ member(x,universal_class),
inference(superposition,[],[f162,f152]) ).
fof(f205,plain,
$false,
inference(forward_subsumption_resolution,[],[f204,f203]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET093-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.41 % Computer : n010.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Mon Sep 28 00:39:47 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.46 Running first-order model finding
% 0.14/0.46 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
% 0.23/0.51 % (1463044)Will run a generic schedule for satisfiability detection.
% 0.23/0.51 % (1463050)% WARNING: option uhcvi not known.
% 0.23/0.51 % (1463050)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1086655029:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.23/0.51 % (1463049)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2659559514_2999 on theBenchmark for (2999ds/0Mi)
% 0.23/0.51 % (1463050) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1463044-1463050"...
% 0.23/0.51 % (1463050)...printing done.
% 0.23/0.51 % (1463050)Refutation found. Thanks to Tanya!
% 0.23/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.23/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.51 % (1463050)------------------------------
% 0.23/0.51 % (1463050)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.51 % (1463050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.51 % (1463050)CaDiCaL version: 2.1.3
% 0.23/0.51 % (1463050)Termination reason: Refutation
% 0.23/0.51 % (1463050)Time elapsed: 0.003 s
% 0.23/0.51 % (1463050)Peak memory usage: 12 MB
% 0.23/0.51 % (1463050)Instructions burned: 4 (million)
% 0.23/0.51 % (1463044)Success in time 0.03 s
% 0.23/0.51 % Vampire exiting
%------------------------------------------------------------------------------