TSTP Solution File: SET014-2 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET014-2 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 : Tue Jul 19 05:05:42 EDT 2022
% Result : Unsatisfiable 0.39s 0.61s
% Output : Refutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 12 ( 8 unt; 2 nHn; 11 RR)
% Number of literals : 18 ( 0 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(membership_in_subsets,axiom,
( ~ member(X,Y)
| ~ subset(Y,Z)
| member(X,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET002-0.ax',membership_in_subsets) ).
cnf(subsets_axiom1,axiom,
( subset(X,Y)
| member(member_of_1_not_of_2(X,Y),X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET002-0.ax',subsets_axiom1) ).
cnf(subsets_axiom2,axiom,
( ~ member(member_of_1_not_of_2(X,Y),Y)
| subset(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET002-0.ax',subsets_axiom2) ).
cnf(member_of_union_is_member_of_one_set,axiom,
( ~ member(X,union(Y,Z))
| member(X,Y)
| member(X,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET002-0.ax',member_of_union_is_member_of_one_set) ).
cnf(a_subset_of_c,hypothesis,
subset(as,cs),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_subset_of_c) ).
cnf(b_subset_of_c,hypothesis,
subset(bs,cs),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_subset_of_c) ).
cnf(prove_a_union_b_subset_of_c,negated_conjecture,
~ subset(union(as,bs),cs),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_union_b_subset_of_c) ).
cnf(26,plain,
member(member_of_1_not_of_2(union(as,bs),cs),union(as,bs)),
inference('HYPERRESOLVE',[status(thm)],[prove_a_union_b_subset_of_c,subsets_axiom1]) ).
cnf(27,plain,
~ member(member_of_1_not_of_2(union(as,bs),cs),cs),
inference('UR-RESOLVE',[status(thm)],[subsets_axiom2,prove_a_union_b_subset_of_c]) ).
cnf(108,plain,
~ member(member_of_1_not_of_2(union(as,bs),cs),as),
inference('UR-RESOLVE',[status(thm)],[membership_in_subsets,27,a_subset_of_c]) ).
cnf(109,plain,
~ member(member_of_1_not_of_2(union(as,bs),cs),bs),
inference('UR-RESOLVE',[status(thm)],[membership_in_subsets,27,b_subset_of_c]) ).
cnf(776,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[member_of_union_is_member_of_one_set,109,108]),26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET014-2 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 11 10:17:28 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 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 2022-07-11T10:17:28
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-07-11T10:17:28
% 0.19/0.48
% 0.19/0.48 ; Recognized commutativity assertion (OR (NOT (|equal_sets| ?X ?Y)) (|equal_sets| ?Y ?X)).
% 0.19/0.48 ; Recognized commutativity assertion (OR (NOT (|equal_elements| ?X ?Y)) (|equal_elements| ?Y ?X)).
% 0.19/0.48 ; Declaring equal_sets to be commutative.
% 0.39/0.61 ; Declaring equal_elements to be commutative.
% 0.39/0.61
% 0.39/0.61 #||
% 0.39/0.61 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/0.61 % SZS output start Refutation
% See solution above
% 0.39/0.61 ||#
% 0.39/0.61
% 0.39/0.61 ; Summary of computation:
% 0.39/0.61 ; 1829 formulas have been input or derived (from 79 formulas).
% 0.39/0.61 ; 776 (42%) were retained. Of these,
% 0.39/0.61 ; 776 (100%) are still being kept.
% 0.39/0.61 ;
% 0.39/0.61 ; Run time in seconds excluding printing time:
% 0.39/0.61 ; 0.005 3% Read assertion file (1 call)
% 0.39/0.61 ; 0.001 1% Assert (24 calls)
% 0.39/0.61 ; 0.056 39% Process new row (1,505 calls)
% 0.39/0.61 ; 0.025 17% Resolution (156 calls)
% 0.39/0.61 ; 0.000 0% Paramodulation (78 calls)
% 0.39/0.61 ; 0.000 0% Factoring (4 calls)
% 0.39/0.61 ; 0.000 0% Condensing (91 calls)
% 0.39/0.61 ; 0.004 3% Forward subsumption (91 calls)
% 0.39/0.61 ; 0.001 1% Backward subsumption (82 calls)
% 0.39/0.61 ; 0.001 1% Clause clause subsumption (153 calls)
% 0.39/0.61 ; 0.015 10% Forward simplification (1,505 calls)
% 0.39/0.61 ; 0.007 5% Backward simplification (776 calls)
% 0.39/0.61 ; 0.001 1% Ordering (143 calls)
% 0.39/0.61 ; 0.000 0% Sortal reasoning (32 calls)
% 0.39/0.61 ; 0.000 0% Purity testing (1 call)
% 0.39/0.61 ; 0.029 20% Other
% 0.39/0.61 ; 0.145 Total
% 0.39/0.61 ; 0.147 Real time
% 0.39/0.61 ;
% 0.39/0.61 ; Term-hash-array has 1,386 terms in all.
% 0.39/0.61 ; Feature-vector-row-index has 82 entries (82 at peak, 82 added, 0 deleted).
% 0.39/0.61 ; Feature-vector-row-index has 260 nodes (260 at peak, 260 added, 0 deleted).
% 0.39/0.61 ; Retrieved 128 possibly forward subsuming rows in 91 calls.
% 0.39/0.61 ; Retrieved 54 possibly backward subsumed rows in 82 calls.
% 0.39/0.61 ; Path-index has 1,390 entries (1,390 at peak, 1,390 added, 0 deleted).
% 0.39/0.61 ; Path-index has 1,227 nodes (1,227 at peak, 1,227 added, 0 deleted).
% 0.39/0.61 ; Trie-index has 1,390 entries (1,390 at peak, 1,390 added, 0 deleted).
% 0.39/0.61 ; Trie-index has 3,876 nodes (3,876 at peak, 3,876 added, 0 deleted).
% 0.39/0.61 ; Retrieved 1,069 generalization terms in 1,610 calls.
% 0.39/0.61 ; Retrieved 703 instance terms in 693 calls.
% 0.39/0.61 ; Retrieved 19,453 unifiable terms in 1,521 calls.
% 0.39/0.61 ;
% 0.39/0.61 ; The agenda of rows to process has 38 entries:
% 0.39/0.61 ; 5 with value 15 6 with value 17 24 with value 20
% 0.39/0.61 ; 1 with value 16 2 with value 18
% 0.39/0.61 ; The agenda of rows to give has 697 entries:
% 0.39/0.61 ; 1 with value (4 9) 136 with value (4 16) 22 with value (4 21)
% 0.39/0.61 ; 27 with value (4 12) 24 with value (4 17) 4 with value (4 22)
% 0.39/0.61 ; 23 with value (4 13) 125 with value (4 18) 1 with value (4 23)
% 0.39/0.61 ; 62 with value (4 14) 13 with value (4 19) 4 with value (4 24)
% 0.39/0.61 ; 47 with value (4 15) 208 with value (4 20)
% 0.39/0.61 Evaluation took:
% 0.39/0.61 0.147 seconds of real time
% 0.39/0.61 0.136336 seconds of user run time
% 0.39/0.61 0.010771 seconds of system run time
% 0.39/0.61 0 calls to %EVAL
% 0.39/0.61 0 page faults and
% 0.39/0.61 9,164,432 bytes consed.
% 0.39/0.61 :PROOF-FOUND
% 0.39/0.61 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T10:17:28
% 0.39/0.61 :PROOF-FOUND
% 0.39/0.61 *
%------------------------------------------------------------------------------