TSTP Solution File: TOP001-2 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : TOP001-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n019.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 21:34:21 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 12
% Syntax : Number of clauses : 22 ( 12 unt; 1 nHn; 21 RR)
% Number of literals : 36 ( 0 equ; 16 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 24 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(union_of_members_1,axiom,
( ~ element_of_set(X,union_of_members(Y))
| element_of_set(X,f1(Y,X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_of_members_1) ).
cnf(union_of_members_2,axiom,
( ~ element_of_set(X,union_of_members(Y))
| element_of_collection(f1(Y,X),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_of_members_2) ).
cnf(union_of_members_3,axiom,
( element_of_set(X,union_of_members(Y))
| ~ element_of_set(X,Z)
| ~ element_of_collection(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_of_members_3) ).
cnf(basis_for_topology_28,axiom,
( ~ basis(X,Y)
| equal_sets(union_of_members(Y),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',basis_for_topology_28) ).
cnf(topology_generated_37,axiom,
( ~ element_of_collection(X,top_of_basis(Y))
| ~ element_of_set(Z,X)
| element_of_set(Z,f10(Y,X,Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',topology_generated_37) ).
cnf(topology_generated_38,axiom,
( ~ element_of_collection(X,top_of_basis(Y))
| ~ element_of_set(Z,X)
| element_of_collection(f10(Y,X,Z),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',topology_generated_38) ).
cnf(set_theory_2,axiom,
( ~ subset_sets(X,Y)
| ~ element_of_set(Z,X)
| element_of_set(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',set_theory_2) ).
cnf(set_theory_3,axiom,
( ~ equal_sets(X,Y)
| subset_sets(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',set_theory_3) ).
cnf(set_theory_4,axiom,
( subset_sets(X,Y)
| element_of_set(in_1st_set(X,Y),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',set_theory_4) ).
cnf(set_theory_5,axiom,
( subset_sets(X,Y)
| ~ element_of_set(in_1st_set(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',set_theory_5) ).
cnf(lemma_1a_1,negated_conjecture,
basis(cx,f),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_1a_1) ).
cnf(lemma_1a_2,negated_conjecture,
~ subset_sets(union_of_members(top_of_basis(f)),cx),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_1a_2) ).
cnf(15,plain,
equal_sets(union_of_members(f),cx),
inference('HYPERRESOLVE',[status(thm)],[basis_for_topology_28,lemma_1a_1]) ).
cnf(16,plain,
element_of_set(in_1st_set(union_of_members(top_of_basis(f)),cx),union_of_members(top_of_basis(f))),
inference('HYPERRESOLVE',[status(thm)],[lemma_1a_2,set_theory_4]) ).
cnf(17,plain,
~ element_of_set(in_1st_set(union_of_members(top_of_basis(f)),cx),cx),
inference('UR-RESOLVE',[status(thm)],[set_theory_5,lemma_1a_2]) ).
cnf(18,plain,
subset_sets(union_of_members(f),cx),
inference('HYPERRESOLVE',[status(thm)],[set_theory_3,15]) ).
cnf(20,plain,
~ element_of_set(in_1st_set(union_of_members(top_of_basis(f)),cx),union_of_members(f)),
inference('UR-RESOLVE',[status(thm)],[set_theory_2,17,18]) ).
cnf(21,plain,
element_of_collection(f1(top_of_basis(f),in_1st_set(union_of_members(top_of_basis(f)),cx)),top_of_basis(f)),
inference('HYPERRESOLVE',[status(thm)],[union_of_members_2,16]) ).
cnf(22,plain,
element_of_set(in_1st_set(union_of_members(top_of_basis(f)),cx),f1(top_of_basis(f),in_1st_set(union_of_members(top_of_basis(f)),cx))),
inference('HYPERRESOLVE',[status(thm)],[union_of_members_1,16]) ).
cnf(36,plain,
element_of_collection(f10(f,f1(top_of_basis(f),in_1st_set(union_of_members(top_of_basis(f)),cx)),in_1st_set(union_of_members(top_of_basis(f)),cx)),f),
inference('HYPERRESOLVE',[status(thm)],[topology_generated_38,22,21]) ).
cnf(37,plain,
element_of_set(in_1st_set(union_of_members(top_of_basis(f)),cx),f10(f,f1(top_of_basis(f),in_1st_set(union_of_members(top_of_basis(f)),cx)),in_1st_set(union_of_members(top_of_basis(f)),cx))),
inference('HYPERRESOLVE',[status(thm)],[topology_generated_37,22,21]) ).
cnf(50,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[union_of_members_3,36,20]),37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : TOP001-2 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n019.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 : 600
% 0.13/0.34 % DateTime : Sun May 29 14:14:41 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-29T14:14:41
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-05-29T14:14:41
% 0.19/0.51
% 0.19/0.51
% 0.19/0.51 #||
% 0.19/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.51 % SZS output start Refutation
% See solution above
% 0.19/0.51 ||#
% 0.19/0.51
% 0.19/0.51 ; Summary of computation:
% 0.19/0.51 ; 87 formulas have been input or derived (from 40 formulas).
% 0.19/0.51 ; 50 (57%) were retained. Of these,
% 0.19/0.51 ; 50 (100%) are still being kept.
% 0.19/0.51 ;
% 0.19/0.51 ; Run time in seconds excluding printing time:
% 0.19/0.51 ; 0.002 5% Read assertion file (1 call)
% 0.19/0.51 ; 0.001 3% Assert (13 calls)
% 0.19/0.51 ; 0.006 16% Process new row (68 calls)
% 0.19/0.51 ; 0.004 11% Resolution (78 calls)
% 0.19/0.51 ; 0.001 3% Paramodulation (39 calls)
% 0.19/0.51 ; 0.000 0% Factoring (2 calls)
% 0.19/0.51 ; 0.000 0% Condensing (19 calls)
% 0.19/0.51 ; 0.000 0% Forward subsumption (19 calls)
% 0.19/0.51 ; 0.001 3% Backward subsumption (17 calls)
% 0.19/0.51 ; 0.000 0% Clause clause subsumption (7 calls)
% 0.19/0.51 ; 0.000 0% Forward simplification (68 calls)
% 0.19/0.51 ; 0.000 0% Backward simplification (50 calls)
% 0.19/0.51 ; 0.000 0% Ordering (41 calls)
% 0.19/0.51 ; 0.001 3% Sortal reasoning (32 calls)
% 0.19/0.51 ; 0.000 0% Purity testing (1 call)
% 0.19/0.51 ; 0.022 58% Other
% 0.19/0.51 ; 0.038 Total
% 0.19/0.51 ; 0.041 Real time
% 0.19/0.51 ;
% 0.19/0.51 ; Term-hash-array has 76 terms in all.
% 0.19/0.51 ; Feature-vector-row-index has 17 entries (17 at peak, 17 added, 0 deleted).
% 0.19/0.51 ; Feature-vector-row-index has 126 nodes (126 at peak, 126 added, 0 deleted).
% 0.19/0.51 ; Retrieved 6 possibly forward subsuming rows in 19 calls.
% 0.19/0.51 ; Retrieved 1 possibly backward subsumed row in 17 calls.
% 0.19/0.51 ; Path-index has 78 entries (78 at peak, 78 added, 0 deleted).
% 0.19/0.51 ; Path-index has 272 nodes (272 at peak, 272 added, 0 deleted).
% 0.19/0.51 ; Trie-index has 78 entries (78 at peak, 78 added, 0 deleted).
% 0.19/0.51 ; Trie-index has 290 nodes (290 at peak, 290 added, 0 deleted).
% 0.19/0.51 ; Retrieved 27 generalization terms in 69 calls.
% 0.19/0.51 ; Retrieved 32 instance terms in 32 calls.
% 0.19/0.51 ; Retrieved 684 unifiable terms in 400 calls.
% 0.19/0.51 ;
% 0.19/0.51 ; The agenda of rows to process has 3 entries:
% 0.19/0.51 ; 1 with value 34 1 with value 38 1 with value 39
% 0.19/0.51 ; The agenda of rows to give has 10 entries:
% 0.19/0.51 ; 1 with value (4 27) 2 with value (4 31) 1 with value (4 38)
% 0.19/0.51 ; 1 with value (4 29) 1 with value (4 33) 1 with value (4 39)
% 0.19/0.51 ; 2 with value (4 30) 1 with value (4 34)
% 0.19/0.51 Evaluation took:
% 0.19/0.51 0.041 seconds of real time
% 0.19/0.51 0.035268 seconds of user run time
% 0.19/0.51 0.006144 seconds of system run time
% 0.19/0.51 0 calls to %EVAL
% 0.19/0.51 0 page faults and
% 0.19/0.51 3,365,384 bytes consed.
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-29T14:14:41
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 *
%------------------------------------------------------------------------------