TSTP Solution File: NUM190-1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM190-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n024.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 14:07:00 EDT 2022
% Result : Unsatisfiable 0.76s 0.96s
% Output : Refutation 0.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of clauses : 17 ( 11 unt; 2 nHn; 14 RR)
% Number of literals : 24 ( 5 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 11 ( 1 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(equal_implies_subclass1,axiom,
( X != Y
| subclass(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',equal_implies_subclass1) ).
cnf(complement1,axiom,
( ~ member(X,complement(Y))
| ~ member(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement1) ).
cnf(inductive1,axiom,
( ~ inductive(X)
| member(null_class,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',inductive1) ).
cnf(omega_is_inductive1,axiom,
inductive(omega),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',omega_is_inductive1) ).
cnf(omega_in_universal,axiom,
member(omega,universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',omega_in_universal) ).
cnf(regularity1,axiom,
( X = null_class
| member(regular(X),X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',regularity1) ).
cnf(prove_omega_is_not_null_1,negated_conjecture,
omega = null_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_omega_is_not_null_1) ).
cnf(193,plain,
inductive(null_class),
inference('REWRITE',[status(thm)],[omega_is_inductive1,prove_omega_is_not_null_1,theory(equality)]) ).
cnf(195,plain,
member(null_class,universal_class),
inference('REWRITE',[status(thm)],[omega_in_universal,prove_omega_is_not_null_1,theory(equality)]) ).
cnf(198,plain,
member(null_class,null_class),
inference('HYPERRESOLVE',[status(thm)],[inductive1,193]) ).
cnf(202,plain,
~ member(null_class,complement(universal_class)),
inference('UR-RESOLVE',[status(thm)],[complement1,195]) ).
cnf(232,plain,
( X = null_class
| member(regular(X),universal_class) ),
inference('HYPERRESOLVE',[status(thm)],[subclass_members,class_elements_are_sets,regularity1]) ).
cnf(484,plain,
~ subclass(null_class,complement(universal_class)),
inference('UR-RESOLVE',[status(thm)],[subclass_members,202,198]) ).
cnf(745,plain,
null_class != complement(universal_class),
inference('UR-RESOLVE',[status(thm)],[equal_implies_subclass1,484]) ).
cnf(2295,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[complement1,232,regularity1]),745]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM190-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n024.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 : Thu Jul 7 20:35:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T20:35:59
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-07-07T20:35:59
% 0.76/0.96
% 0.76/0.96
% 0.76/0.96 #||
% 0.76/0.96 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.76/0.96 % SZS output start Refutation
% See solution above
% 0.76/0.96 ||#
% 0.76/0.96
% 0.76/0.96 ; Summary of computation:
% 0.76/0.96 ; 4469 formulas have been input or derived (from 252 formulas).
% 0.76/0.96 ; 2295 (51%) were retained. Of these,
% 0.76/0.96 ; 71 ( 3%) were simplified or subsumed later,
% 0.76/0.96 ; 2224 (97%) are still being kept.
% 0.76/0.96 ;
% 0.76/0.96 ; Run time in seconds excluding printing time:
% 0.76/0.96 ; 0.031 6% Read assertion file (1 call)
% 0.76/0.96 ; 0.004 1% Assert (159 calls)
% 0.76/0.96 ; 0.157 32% Process new row (4,089 calls)
% 0.76/0.96 ; 0.115 23% Resolution (502 calls)
% 0.76/0.96 ; 0.006 1% Paramodulation (251 calls)
% 0.76/0.96 ; 0.000 0% Factoring (8 calls)
% 0.76/0.96 ; 0.010 2% Condensing (717 calls)
% 0.76/0.96 ; 0.031 6% Forward subsumption (717 calls)
% 0.76/0.96 ; 0.019 4% Backward subsumption (673 calls)
% 0.76/0.96 ; 0.001 0% Clause clause subsumption (1,338 calls)
% 0.76/0.96 ; 0.055 11% Forward simplification (4,089 calls)
% 0.76/0.96 ; 0.014 3% Backward simplification (2,261 calls)
% 0.76/0.96 ; 0.004 1% Ordering (1,633 calls)
% 0.76/0.96 ; 0.000 0% Sortal reasoning (32 calls)
% 0.76/0.96 ; 0.000 0% Purity testing (1 call)
% 0.76/0.96 ; 0.050 10% Other
% 0.76/0.96 ; 0.497 Total
% 0.76/0.96 ; 0.498 Real time
% 0.76/0.96 ;
% 0.76/0.96 ; Term-hash-array has 4,282 terms in all.
% 0.76/0.96 ; Feature-vector-row-index has 639 entries (639 at peak, 673 added, 34 deleted).
% 0.76/0.96 ; Feature-vector-row-index has 3,686 nodes (3,686 at peak, 3,786 added, 100 deleted).
% 0.76/0.96 ; Retrieved 1,202 possibly forward subsuming rows in 717 calls.
% 0.76/0.96 ; Retrieved 319 possibly backward subsumed rows in 673 calls.
% 0.76/0.96 ; Path-index has 4,247 entries (4,247 at peak, 4,308 added, 61 deleted).
% 0.76/0.96 ; Path-index has 6,526 nodes (6,552 at peak, 6,564 added, 38 deleted).
% 0.76/0.96 ; Trie-index has 4,247 entries (4,247 at peak, 4,308 added, 61 deleted).
% 0.76/0.96 ; Trie-index has 13,152 nodes (13,152 at peak, 13,269 added, 117 deleted).
% 0.76/0.96 ; Retrieved 2,843 generalization terms in 11,623 calls.
% 0.76/0.96 ; Retrieved 1,628 instance terms in 1,590 calls.
% 0.76/0.96 ; Retrieved 159,513 unifiable terms in 4,892 calls.
% 0.76/0.96 ;
% 0.76/0.96 ; The agenda of rows to process has 97 entries:
% 0.76/0.96 ; 2 with value 12 4 with value 17 9 with value 22
% 0.76/0.96 ; 1 with value 13 8 with value 18 4 with value 23
% 0.76/0.96 ; 6 with value 14 16 with value 19 2 with value 26
% 0.76/0.96 ; 1 with value 15 8 with value 20 1 with value 27
% 0.76/0.96 ; 2 with value 16 33 with value 21
% 0.76/0.96 ; The agenda of rows to give has 1972 entries:
% 0.76/0.96 ; 49 with value (4 11) 3 with value (4 25) 3 with value (4 39)
% 0.76/0.96 ; 75 with value (4 12) 14 with value (4 26) 1 with value (4 41)
% 0.76/0.96 ; 132 with value (4 13) 8 with value (4 27) 3 with value (4 42)
% 0.76/0.96 ; 118 with value (4 14) 13 with value (4 28) 2 with value (4 43)
% 0.76/0.96 ; 136 with value (4 15) 8 with value (4 29) 1 with value (4 44)
% 0.76/0.96 ; 200 with value (4 16) 4 with value (4 30) 2 with value (4 45)
% 0.76/0.96 ; 211 with value (4 17) 5 with value (4 31) 6 with value (4 46)
% 0.76/0.96 ; 380 with value (4 18) 8 with value (4 32) 3 with value (4 49)
% 0.76/0.96 ; 227 with value (4 19) 3 with value (4 33) 1 with value (4 51)
% 0.76/0.96 ; 140 with value (4 20) 10 with value (4 34) 1 with value (4 53)
% 0.76/0.96 ; 67 with value (4 21) 2 with value (4 35) 1 with value (4 55)
% 0.76/0.96 ; 88 with value (4 22) 1 with value (4 36) 1 with value (4 57)
% 0.76/0.96 ; 19 with value (4 23) 3 with value (4 37) 1 with value (4 59)
% 0.76/0.96 ; 18 with value (4 24) 3 with value (4 38) 1 with value (4 63)
% 0.76/0.96 Evaluation took:
% 0.76/0.96 0.498 seconds of real time
% 0.76/0.96 0.454574 seconds of user run time
% 0.76/0.96 0.043996 seconds of system run time
% 0.76/0.96 [Run times include 0.027 seconds GC run time.]
% 0.76/0.96 0 calls to %EVAL
% 0.76/0.96 0 page faults and
% 0.76/0.96 34,187,584 bytes consed.
% 0.76/0.96 :PROOF-FOUND
% 0.76/0.96 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T20:35:59
% 0.76/0.96 :PROOF-FOUND
% 0.76/0.96 *
%------------------------------------------------------------------------------