TSTP Solution File: TOP005-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : TOP005-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n027.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 21:34:22 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of clauses : 20 ( 11 unt; 1 nHn; 19 RR)
% Number of literals : 36 ( 0 equ; 17 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 4 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/sandbox/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/sandbox/benchmark/theBenchmark.p',union_of_members_2) ).
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/sandbox/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/sandbox/benchmark/theBenchmark.p',topology_generated_38) ).
cnf(topology_generated_39,axiom,
( ~ element_of_collection(X,top_of_basis(Y))
| ~ element_of_set(Z,X)
| subset_sets(f10(Y,X,Z),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',topology_generated_39) ).
cnf(topology_generated_40,axiom,
( element_of_collection(X,top_of_basis(Y))
| element_of_set(f11(Y,X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',topology_generated_40) ).
cnf(topology_generated_41,axiom,
( element_of_collection(X,top_of_basis(Y))
| ~ element_of_set(f11(Y,X),Z)
| ~ element_of_collection(Z,Y)
| ~ subset_sets(Z,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',topology_generated_41) ).
cnf(set_theory_20,axiom,
( ~ subset_sets(X,Y)
| ~ element_of_collection(Y,Z)
| subset_sets(X,union_of_members(Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_theory_20) ).
cnf(set_theory_21,axiom,
( ~ subset_collections(X,Y)
| ~ element_of_collection(Z,X)
| element_of_collection(Z,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_theory_21) ).
cnf(lemma_1e_2,negated_conjecture,
subset_collections(g,top_of_basis(f)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1e_2) ).
cnf(lemma_1e_3,negated_conjecture,
~ element_of_collection(union_of_members(g),top_of_basis(f)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1e_3) ).
cnf(14,plain,
element_of_set(f11(f,union_of_members(g)),union_of_members(g)),
inference('UR-RESOLVE',[status(thm)],[topology_generated_40,lemma_1e_3]) ).
cnf(18,plain,
element_of_collection(f1(g,f11(f,union_of_members(g))),g),
inference('HYPERRESOLVE',[status(thm)],[union_of_members_2,14]) ).
cnf(19,plain,
element_of_set(f11(f,union_of_members(g)),f1(g,f11(f,union_of_members(g)))),
inference('HYPERRESOLVE',[status(thm)],[union_of_members_1,14]) ).
cnf(21,plain,
element_of_collection(f1(g,f11(f,union_of_members(g))),top_of_basis(f)),
inference('HYPERRESOLVE',[status(thm)],[set_theory_21,18,lemma_1e_2]) ).
cnf(25,plain,
element_of_collection(f10(f,f1(g,f11(f,union_of_members(g))),f11(f,union_of_members(g))),f),
inference('HYPERRESOLVE',[status(thm)],[topology_generated_38,19,21]) ).
cnf(27,plain,
element_of_set(f11(f,union_of_members(g)),f10(f,f1(g,f11(f,union_of_members(g))),f11(f,union_of_members(g)))),
inference('HYPERRESOLVE',[status(thm)],[topology_generated_37,19,21]) ).
cnf(28,plain,
subset_sets(f10(f,f1(g,f11(f,union_of_members(g))),f11(f,union_of_members(g))),f1(g,f11(f,union_of_members(g)))),
inference('HYPERRESOLVE',[status(thm)],[topology_generated_39,19,21]) ).
cnf(54,plain,
~ subset_sets(f10(f,f1(g,f11(f,union_of_members(g))),f11(f,union_of_members(g))),union_of_members(g)),
inference('UR-RESOLVE',[status(thm)],[topology_generated_41,27,lemma_1e_3,25]) ).
cnf(57,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[set_theory_20,54,18]),28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : TOP005-2 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n027.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun May 29 12:38:45 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-29T12:38:45
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-05-29T12:38:45
% 0.19/0.51
% 0.19/0.51
% 0.19/0.51 #||
% 0.19/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox/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 ; 89 formulas have been input or derived (from 27 formulas).
% 0.19/0.51 ; 57 (64%) were retained. Of these,
% 0.19/0.51 ; 57 (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 4% Read assertion file (1 call)
% 0.19/0.51 ; 0.001 2% Assert (12 calls)
% 0.19/0.51 ; 0.006 12% Process new row (83 calls)
% 0.19/0.51 ; 0.006 12% Resolution (52 calls)
% 0.19/0.51 ; 0.000 0% Paramodulation (26 calls)
% 0.19/0.51 ; 0.000 0% Factoring (7 calls)
% 0.19/0.51 ; 0.000 0% Condensing (50 calls)
% 0.19/0.51 ; 0.006 12% Forward subsumption (50 calls)
% 0.19/0.51 ; 0.002 4% Backward subsumption (45 calls)
% 0.19/0.51 ; 0.001 2% Clause clause subsumption (99 calls)
% 0.19/0.51 ; 0.001 2% Forward simplification (83 calls)
% 0.19/0.51 ; 0.000 0% Backward simplification (57 calls)
% 0.19/0.51 ; 0.001 2% Ordering (103 calls)
% 0.19/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.51 ; 0.000 0% Purity testing (1 call)
% 0.19/0.51 ; 0.022 46% Other
% 0.19/0.51 ; 0.048 Total
% 0.19/0.51 ; 0.052 Real time
% 0.19/0.51 ;
% 0.19/0.51 ; Term-hash-array has 127 terms in all.
% 0.19/0.51 ; Feature-vector-row-index has 45 entries (45 at peak, 45 added, 0 deleted).
% 0.19/0.51 ; Feature-vector-row-index has 524 nodes (524 at peak, 524 added, 0 deleted).
% 0.19/0.51 ; Retrieved 87 possibly forward subsuming rows in 50 calls.
% 0.19/0.51 ; Retrieved 14 possibly backward subsumed rows in 45 calls.
% 0.19/0.51 ; Path-index has 129 entries (129 at peak, 129 added, 0 deleted).
% 0.19/0.51 ; Path-index has 435 nodes (435 at peak, 435 added, 0 deleted).
% 0.19/0.51 ; Trie-index has 129 entries (129 at peak, 129 added, 0 deleted).
% 0.19/0.51 ; Trie-index has 622 nodes (622 at peak, 622 added, 0 deleted).
% 0.19/0.51 ; Retrieved 31 generalization terms in 152 calls.
% 0.19/0.51 ; Retrieved 11 instance terms in 11 calls.
% 0.19/0.51 ; Retrieved 993 unifiable terms in 304 calls.
% 0.19/0.51 ;
% 0.19/0.51 ; The agenda of rows to process has 1 entry:
% 0.19/0.51 ; 1 with value 49
% 0.19/0.51 ; The agenda of rows to give has 30 entries:
% 0.19/0.51 ; 1 with value (4 28) 4 with value (4 38) 2 with value (4 48)
% 0.19/0.51 ; 2 with value (4 29) 1 with value (4 39) 1 with value (4 52)
% 0.19/0.51 ; 1 with value (4 30) 1 with value (4 40) 1 with value (4 54)
% 0.19/0.51 ; 3 with value (4 32) 2 with value (4 41) 1 with value (4 56)
% 0.19/0.51 ; 1 with value (4 33) 1 with value (4 43) 1 with value (4 63)
% 0.19/0.51 ; 3 with value (4 34) 1 with value (4 46) 1 with value (4 65)
% 0.19/0.51 ; 1 with value (4 35) 1 with value (4 47)
% 0.19/0.51 Evaluation took:
% 0.19/0.51 0.052 seconds of real time
% 0.19/0.51 0.046967 seconds of user run time
% 0.19/0.51 0.005236 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 4,074,304 bytes consed.
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-29T12:38:45
% 0.19/0.52 :PROOF-FOUND
% 0.19/0.52 *
%------------------------------------------------------------------------------