TSTP Solution File: TOP004-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : TOP004-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 05:53:40 EDT 2023
% Result : Unsatisfiable 0.19s 0.58s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 61
% Syntax : Number of formulae : 64 ( 5 unt; 59 typ; 0 def)
% Number of atoms : 5 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 144 ( 56 >; 88 *; 0 +; 0 <<)
% Number of predicates : 23 ( 22 usr; 1 prp; 0-4 aty)
% Number of functors : 37 ( 37 usr; 3 con; 0-5 aty)
% Number of variables : 6 ( 6 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
union_of_members: $i > $i ).
tff(decl_23,type,
element_of_set: ( $i * $i ) > $o ).
tff(decl_24,type,
f1: ( $i * $i ) > $i ).
tff(decl_25,type,
element_of_collection: ( $i * $i ) > $o ).
tff(decl_26,type,
intersection_of_members: $i > $i ).
tff(decl_27,type,
f2: ( $i * $i ) > $i ).
tff(decl_28,type,
topological_space: ( $i * $i ) > $o ).
tff(decl_29,type,
equal_sets: ( $i * $i ) > $o ).
tff(decl_30,type,
empty_set: $i ).
tff(decl_31,type,
intersection_of_sets: ( $i * $i ) > $i ).
tff(decl_32,type,
subset_collections: ( $i * $i ) > $o ).
tff(decl_33,type,
f3: ( $i * $i ) > $i ).
tff(decl_34,type,
f5: ( $i * $i ) > $i ).
tff(decl_35,type,
f4: ( $i * $i ) > $i ).
tff(decl_36,type,
open: ( $i * $i * $i ) > $o ).
tff(decl_37,type,
closed: ( $i * $i * $i ) > $o ).
tff(decl_38,type,
relative_complement_sets: ( $i * $i ) > $i ).
tff(decl_39,type,
finer: ( $i * $i * $i ) > $o ).
tff(decl_40,type,
basis: ( $i * $i ) > $o ).
tff(decl_41,type,
f6: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_42,type,
subset_sets: ( $i * $i ) > $o ).
tff(decl_43,type,
f7: ( $i * $i ) > $i ).
tff(decl_44,type,
f8: ( $i * $i ) > $i ).
tff(decl_45,type,
f9: ( $i * $i ) > $i ).
tff(decl_46,type,
top_of_basis: $i > $i ).
tff(decl_47,type,
f10: ( $i * $i * $i ) > $i ).
tff(decl_48,type,
f11: ( $i * $i ) > $i ).
tff(decl_49,type,
subspace_topology: ( $i * $i * $i ) > $i ).
tff(decl_50,type,
f12: ( $i * $i * $i * $i ) > $i ).
tff(decl_51,type,
interior: ( $i * $i * $i ) > $i ).
tff(decl_52,type,
f13: ( $i * $i * $i * $i ) > $i ).
tff(decl_53,type,
closure: ( $i * $i * $i ) > $i ).
tff(decl_54,type,
f14: ( $i * $i * $i * $i ) > $i ).
tff(decl_55,type,
neighborhood: ( $i * $i * $i * $i ) > $o ).
tff(decl_56,type,
limit_point: ( $i * $i * $i * $i ) > $o ).
tff(decl_57,type,
f15: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_58,type,
eq_p: ( $i * $i ) > $o ).
tff(decl_59,type,
f16: ( $i * $i * $i * $i ) > $i ).
tff(decl_60,type,
boundary: ( $i * $i * $i ) > $i ).
tff(decl_61,type,
hausdorff: ( $i * $i ) > $o ).
tff(decl_62,type,
f17: ( $i * $i * $i * $i ) > $i ).
tff(decl_63,type,
f18: ( $i * $i * $i * $i ) > $i ).
tff(decl_64,type,
disjoint_s: ( $i * $i ) > $o ).
tff(decl_65,type,
f19: ( $i * $i ) > $i ).
tff(decl_66,type,
f20: ( $i * $i ) > $i ).
tff(decl_67,type,
separation: ( $i * $i * $i * $i ) > $o ).
tff(decl_68,type,
union_of_sets: ( $i * $i ) > $i ).
tff(decl_69,type,
connected_space: ( $i * $i ) > $o ).
tff(decl_70,type,
f21: ( $i * $i ) > $i ).
tff(decl_71,type,
f22: ( $i * $i ) > $i ).
tff(decl_72,type,
connected_set: ( $i * $i * $i ) > $o ).
tff(decl_73,type,
open_covering: ( $i * $i * $i ) > $o ).
tff(decl_74,type,
compact_space: ( $i * $i ) > $o ).
tff(decl_75,type,
f23: ( $i * $i * $i ) > $i ).
tff(decl_76,type,
finite: $i > $o ).
tff(decl_77,type,
f24: ( $i * $i ) > $i ).
tff(decl_78,type,
compact_set: ( $i * $i * $i ) > $o ).
tff(decl_79,type,
cx: $i ).
tff(decl_80,type,
f: $i ).
cnf(lemma_1d_4,negated_conjecture,
~ element_of_collection(intersection_of_sets(X1,X2),top_of_basis(f)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_1d_4) ).
cnf(lemma_1d_2,negated_conjecture,
element_of_collection(X1,top_of_basis(f)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_1d_2) ).
cnf(c_0_2,negated_conjecture,
~ element_of_collection(intersection_of_sets(X1,X2),top_of_basis(f)),
lemma_1d_4 ).
cnf(c_0_3,negated_conjecture,
element_of_collection(X1,top_of_basis(f)),
lemma_1d_2 ).
cnf(c_0_4,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_2,c_0_3])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : TOP004-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 23:47:27 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 0.19/0.58 % Version : CSE_E---1.5
% 0.19/0.58 % Problem : theBenchmark.p
% 0.19/0.58 % Proof found
% 0.19/0.58 % SZS status Theorem for theBenchmark.p
% 0.19/0.58 % SZS output start Proof
% See solution above
% 0.19/0.58 % Total time : 0.006000 s
% 0.19/0.58 % SZS output end Proof
% 0.19/0.58 % Total time : 0.011000 s
%------------------------------------------------------------------------------