%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : TOP021+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 : 600s
% DateTime : Thu Jul 21 21:34:23 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 5
% Syntax : Number of clauses : 6 ( 5 unt; 0 nHn; 4 RR)
% Number of literals : 9 ( 0 equ; 4 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 10 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
a_continuous_function_from_onto(the_projection_function(X,Y,Z),the_product_top_space_over(Y,Z),apply(Y,X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kelley_p90a) ).
cnf(2,axiom,
an_open_function_from_onto(the_projection_function(X,Y,Z),the_product_top_space_over(U,Z),apply(U,X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kelley_3_2) ).
cnf(3,axiom,
( ~ an_open_function_from_onto(X,Y,Z)
| ~ a_continuous_function_from_onto(X,Y,Z)
| ~ a_locally_compact_top_space(Y)
| a_locally_compact_top_space(Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kelley_p_147e) ).
cnf(4,negated_conjecture,
a_locally_compact_top_space(the_product_top_space_over('SKOLEMAAAV1','SKOLEMAAAV2')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kelley_5_19a) ).
cnf(5,negated_conjecture,
~ a_locally_compact_top_space(apply('SKOLEMAAAV1','SKOLEMAAAV3')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kelley_5_19a) ).
cnf(6,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[3,2,1,4,5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : TOP021+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n023.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sun May 29 05:02:42 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-29T05:02:42
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-05-29T05:02:42
% 0.20/0.51
% 0.20/0.51
% 0.20/0.51 #||
% 0.20/0.51 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.51 % SZS output start Refutation
% See solution above
% 0.20/0.51 ||#
% 0.20/0.51
% 0.20/0.51 ; Summary of computation:
% 0.20/0.51 ; 11 formulas have been input or derived (from 6 formulas).
% 0.20/0.51 ; 6 (55%) were retained. Of these,
% 0.20/0.51 ; 6 (100%) are still being kept.
% 0.20/0.51 ;
% 0.20/0.51 ; Run time in seconds excluding printing time:
% 0.20/0.51 ; 0.002 8% Read assertion file (1 call)
% 0.20/0.51 ; 0.000 0% Assert (4 calls)
% 0.20/0.51 ; 0.001 4% Process new row (6 calls)
% 0.20/0.51 ; 0.001 4% Resolution (10 calls)
% 0.20/0.51 ; 0.000 0% Paramodulation (5 calls)
% 0.20/0.51 ; 0.000 0% Condensing (1 call)
% 0.20/0.51 ; 0.000 0% Forward subsumption (1 call)
% 0.20/0.51 ; 0.000 0% Backward subsumption (1 call)
% 0.20/0.51 ; 0.000 0% Forward simplification (6 calls)
% 0.20/0.51 ; 0.000 0% Backward simplification (6 calls)
% 0.20/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.51 ; 0.000 0% Purity testing (1 call)
% 0.20/0.51 ; 0.022 85% Other
% 0.20/0.51 ; 0.026 Total
% 0.20/0.51 ; 0.028 Real time
% 0.20/0.51 ;
% 0.20/0.51 ; Term-hash-array has 15 terms in all.
% 0.20/0.51 ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 0.20/0.51 ; Feature-vector-row-index has 5 nodes (5 at peak, 5 added, 0 deleted).
% 0.20/0.51 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 0.20/0.51 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 0.20/0.51 ; Path-index has 18 entries (18 at peak, 18 added, 0 deleted).
% 0.20/0.51 ; Path-index has 85 nodes (85 at peak, 85 added, 0 deleted).
% 0.20/0.51 ; Trie-index has 18 entries (18 at peak, 18 added, 0 deleted).
% 0.20/0.51 ; Trie-index has 54 nodes (54 at peak, 54 added, 0 deleted).
% 0.20/0.51 ; Retrieved 0 generalization terms in 3 calls.
% 0.20/0.51 ; Retrieved 4 instance terms in 4 calls.
% 0.20/0.51 ; Retrieved 33 unifiable terms in 37 calls.
% 0.20/0.51 ;
% 0.20/0.51 ; The agenda of rows to process has 5 entries:
% 0.20/0.51 ; 3 with value 7 2 with value 14
% 0.20/0.51 Evaluation took:
% 0.20/0.51 0.028 seconds of real time
% 0.20/0.51 0.0218 seconds of user run time
% 0.20/0.51 0.005965 seconds of system run time
% 0.20/0.51 0 calls to %EVAL
% 0.20/0.51 0 page faults and
% 0.20/0.51 1,559,568 bytes consed.
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-29T05:02:42
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 *
%------------------------------------------------------------------------------