TSTP Solution File: NUM066-1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM066-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n003.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 : Mon Jul 18 14:06:23 EDT 2022
% Result : Unsatisfiable 2.59s 2.82s
% Output : Refutation 2.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of clauses : 16 ( 11 unt; 0 nHn; 15 RR)
% Number of literals : 28 ( 0 equ; 14 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 18 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(subclass_members,axiom,
( ~ subclass(X,Y)
| ~ member(Z,X)
| member(Z,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(class_elements_are_sets,axiom,
subclass(X,universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
cnf(cartesian_product3,axiom,
( ~ member(X,Y)
| ~ member(Z,U)
| member(ordered_pair(X,Z),cross_product(Y,U)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',cartesian_product3) ).
cnf(element_relation3,axiom,
( ~ member(ordered_pair(X,Y),cross_product(universal_class,universal_class))
| ~ member(X,Y)
| member(ordered_pair(X,Y),element_relation) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',element_relation3) ).
cnf(well_ordering3,axiom,
( ~ well_ordering(X,Y)
| ~ subclass(Z,Y)
| ~ member(U,Z)
| member(least(X,Z),Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM004-0.ax',well_ordering3) ).
cnf(well_ordering5,axiom,
( ~ well_ordering(X,Y)
| ~ subclass(Z,Y)
| ~ member(U,Z)
| ~ member(ordered_pair(U,least(X,Z)),X) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM004-0.ax',well_ordering5) ).
cnf(prove_corollary_to_well_ordering_property1_1,negated_conjecture,
well_ordering(element_relation,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_well_ordering_property1_1) ).
cnf(prove_corollary_to_well_ordering_property1_2,negated_conjecture,
subclass(u,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_well_ordering_property1_2) ).
cnf(prove_corollary_to_well_ordering_property1_3,negated_conjecture,
member(v,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_well_ordering_property1_3) ).
cnf(prove_corollary_to_well_ordering_property1_4,negated_conjecture,
member(v,least(element_relation,u)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_well_ordering_property1_4) ).
cnf(234,plain,
member(v,universal_class),
inference('HYPERRESOLVE',[status(thm)],[subclass_members,class_elements_are_sets,prove_corollary_to_well_ordering_property1_3]) ).
cnf(417,plain,
member(least(element_relation,u),u),
inference('HYPERRESOLVE',[status(thm)],[well_ordering3,prove_corollary_to_well_ordering_property1_1,prove_corollary_to_well_ordering_property1_2,prove_corollary_to_well_ordering_property1_3]) ).
cnf(448,plain,
~ member(ordered_pair(v,least(element_relation,u)),element_relation),
inference('UR-RESOLVE',[status(thm)],[well_ordering5,prove_corollary_to_well_ordering_property1_1,prove_corollary_to_well_ordering_property1_2,prove_corollary_to_well_ordering_property1_3]) ).
cnf(1026,plain,
member(least(element_relation,u),universal_class),
inference('HYPERRESOLVE',[status(thm)],[subclass_members,417,class_elements_are_sets]) ).
cnf(2701,plain,
member(ordered_pair(v,least(element_relation,u)),cross_product(universal_class,universal_class)),
inference('HYPERRESOLVE',[status(thm)],[cartesian_product3,1026,234]) ).
cnf(12772,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[element_relation3,448,prove_corollary_to_well_ordering_property1_4]),2701]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM066-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n003.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 : Wed Jul 6 17:56:56 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.48 #<PACKAGE "SNARK-USER">
% 0.19/0.48 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T17:56:56
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n003.cluster.edu at 2022-07-06T17:56:56
% 2.59/2.82
% 2.59/2.82
% 2.59/2.82 #||
% 2.59/2.82 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.59/2.82 % SZS output start Refutation
% See solution above
% 2.59/2.82 ||#
% 2.59/2.82
% 2.59/2.82 ; Summary of computation:
% 2.59/2.82 ; 24965 formulas have been input or derived (from 445 formulas).
% 2.59/2.82 ; 12772 (51%) were retained. Of these,
% 2.59/2.82 ; 628 ( 5%) were simplified or subsumed later,
% 2.59/2.82 ; 12144 (95%) are still being kept.
% 2.59/2.82 ;
% 2.59/2.82 ; Run time in seconds excluding printing time:
% 2.59/2.82 ; 0.031 1% Read assertion file (1 call)
% 2.59/2.82 ; 0.004 0% Assert (162 calls)
% 2.59/2.82 ; 0.805 34% Process new row (24,319 calls)
% 2.59/2.82 ; 0.777 33% Resolution (888 calls)
% 2.59/2.82 ; 0.009 0% Paramodulation (444 calls)
% 2.59/2.82 ; 0.000 0% Factoring (10 calls)
% 2.59/2.82 ; 0.014 1% Condensing (2,098 calls)
% 2.59/2.82 ; 0.126 5% Forward subsumption (2,098 calls)
% 2.59/2.82 ; 0.098 4% Backward subsumption (1,917 calls)
% 2.59/2.82 ; 0.006 0% Clause clause subsumption (4,879 calls)
% 2.59/2.82 ; 0.248 11% Forward simplification (24,313 calls)
% 2.59/2.82 ; 0.109 5% Backward simplification (12,738 calls)
% 2.59/2.82 ; 0.012 1% Ordering (4,533 calls)
% 2.59/2.82 ; 0.000 0% Sortal reasoning (32 calls)
% 2.59/2.82 ; 0.000 0% Purity testing (1 call)
% 2.59/2.82 ; 0.104 4% Other
% 2.59/2.82 ; 2.343 Total
% 2.59/2.82 ; 2.346 Real time
% 2.59/2.82 ;
% 2.59/2.83 ; Term-hash-array has 18,708 terms in all.
% 2.59/2.83 ; Feature-vector-row-index has 1,682 entries (1,682 at peak, 1,917 added, 235 deleted).
% 2.59/2.83 ; Feature-vector-row-index has 7,686 nodes (7,686 at peak, 8,724 added, 1,038 deleted).
% 2.59/2.83 ; Retrieved 4,679 possibly forward subsuming rows in 2,098 calls.
% 2.59/2.83 ; Retrieved 1,372 possibly backward subsumed rows in 1,917 calls.
% 2.59/2.83 ; Path-index has 18,143 entries (18,143 at peak, 19,015 added, 872 deleted).
% 2.59/2.83 ; Path-index has 8,562 nodes (8,562 at peak, 8,734 added, 172 deleted).
% 2.59/2.83 ; Trie-index has 18,143 entries (18,143 at peak, 19,015 added, 872 deleted).
% 2.59/2.83 ; Trie-index has 46,867 nodes (46,867 at peak, 48,819 added, 1,952 deleted).
% 2.59/2.83 ; Retrieved 15,486 generalization terms in 60,089 calls.
% 2.59/2.83 ; Retrieved 10,862 instance terms in 10,823 calls.
% 2.59/2.83 ; Retrieved 1,746,600 unifiable terms in 18,669 calls.
% 2.59/2.83 ;
% 2.59/2.83 ; The agenda of rows to process has 5 entries:
% 2.59/2.83 ; 2 with value 14 1 with value 15 2 with value 17
% 2.59/2.83 ; The agenda of rows to give has 11729 entries:
% 2.59/2.83 ; 208 with value (4 11) 8 with value (4 25) 3 with value (4 39)
% 2.59/2.83 ; 238 with value (4 12) 29 with value (4 26) 3 with value (4 41)
% 2.59/2.83 ; 378 with value (4 13) 21 with value (4 27) 3 with value (4 42)
% 2.59/2.83 ; 485 with value (4 14) 16 with value (4 28) 2 with value (4 43)
% 2.59/2.83 ; 790 with value (4 15) 17 with value (4 29) 1 with value (4 44)
% 2.59/2.83 ; 1348 with value (4 16) 4 with value (4 30) 2 with value (4 45)
% 2.59/2.83 ; 1814 with value (4 17) 12 with value (4 31) 6 with value (4 46)
% 2.59/2.83 ; 2643 with value (4 18) 15 with value (4 32) 3 with value (4 49)
% 2.59/2.83 ; 1726 with value (4 19) 7 with value (4 33) 1 with value (4 51)
% 2.59/2.83 ; 1058 with value (4 20) 10 with value (4 34) 1 with value (4 53)
% 2.59/2.83 ; 556 with value (4 21) 2 with value (4 35) 1 with value (4 55)
% 2.59/2.83 ; 229 with value (4 22) 3 with value (4 36) 1 with value (4 57)
% 2.59/2.83 ; 56 with value (4 23) 3 with value (4 37) 1 with value (4 59)
% 2.59/2.83 ; 21 with value (4 24) 3 with value (4 38) 1 with value (4 63)
% 2.59/2.83 Evaluation took:
% 2.59/2.83 2.348 seconds of real time
% 2.59/2.83 2.176067 seconds of user run time
% 2.59/2.83 0.17072 seconds of system run time
% 2.59/2.83 [Run times include 0.355 seconds GC run time.]
% 2.59/2.83 0 calls to %EVAL
% 2.59/2.83 0 page faults and
% 2.59/2.83 166,694,392 bytes consed.
% 2.59/2.83 :PROOF-FOUND
% 2.59/2.83 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T17:56:59
% 2.59/2.83 :PROOF-FOUND
% 2.59/2.83 *
%------------------------------------------------------------------------------