TSTP Solution File: SET101+1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET101+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n008.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 05:07:21 EDT 2022
% Result : Theorem 4.28s 4.46s
% Output : Refutation 4.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 8 ( 7 unt; 0 nHn; 2 RR)
% Number of literals : 10 ( 3 equ; 3 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 12 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(9,axiom,
( member(X,unordered_pair(Y,Z))
| ~ member(X,universal_class)
| X != Y ),
file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',unordered_pair_defn) ).
cnf(11,axiom,
member(unordered_pair(X,Y),universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',unordered_pair) ).
cnf(12,axiom,
singleton(X) = unordered_pair(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',singleton_set_defn) ).
cnf(13,axiom,
ordered_pair(X,Y) = unordered_pair(singleton(X),unordered_pair(X,singleton(Y))),
file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',ordered_pair_defn) ).
cnf(92,negated_conjecture,
~ member(singleton('SKOLEMAAAV8'),ordered_pair('SKOLEMAAAV8','SKOLEMAAAV9')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_member_of_ordered_pair) ).
cnf(253,plain,
member(singleton(X),unordered_pair(singleton(X),Y)),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[9,11,12]),12,theory(equality)]) ).
cnf(20643,plain,
member(singleton(X),ordered_pair(X,Y)),
inference('PARAMODULATE',[status(thm)],[253,13,theory(equality)]) ).
cnf(20644,plain,
$false,
inference('REWRITE',[status(thm)],[92,20643]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET101+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n008.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 : Mon Jul 11 07:16:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-07-11T07:16:23
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-07-11T07:16:23
% 4.28/4.46
% 4.28/4.46
% 4.28/4.46 #||
% 4.28/4.46 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.28/4.46 % SZS output start Refutation
% See solution above
% 4.28/4.47 ||#
% 4.28/4.47
% 4.28/4.47 ; Summary of computation:
% 4.28/4.47 ; 41563 formulas have been input or derived (from 452 formulas).
% 4.28/4.47 ; 20644 (50%) were retained. Of these,
% 4.28/4.47 ; 363 ( 2%) were simplified or subsumed later,
% 4.28/4.47 ; 20281 (98%) are still being kept.
% 4.28/4.47 ;
% 4.28/4.47 ; Run time in seconds:
% 4.28/4.47 ; 0.011 0% Read assertion file (1 call)
% 4.28/4.47 ; 0.002 0% Assert (44 calls)
% 4.28/4.47 ; 1.349 34% Process new row (40,308 calls)
% 4.28/4.47 ; 1.507 38% Resolution (902 calls)
% 4.28/4.47 ; 0.013 0% Paramodulation (451 calls)
% 4.28/4.47 ; 0.000 0% Factoring (8 calls)
% 4.28/4.47 ; 0.025 1% Condensing (2,579 calls)
% 4.28/4.47 ; 0.121 3% Forward subsumption (2,579 calls)
% 4.28/4.47 ; 0.151 4% Backward subsumption (2,496 calls)
% 4.28/4.47 ; 0.009 0% Clause clause subsumption (6,459 calls)
% 4.28/4.47 ; 0.379 9% Forward simplification (39,994 calls)
% 4.28/4.47 ; 0.225 6% Backward simplification (20,641 calls)
% 4.28/4.47 ; 0.015 0% Ordering (7,517 calls)
% 4.28/4.47 ; 0.000 0% Sortal reasoning (32 calls)
% 4.28/4.47 ; 0.000 0% Purity testing (1 call)
% 4.28/4.47 ; 0.191 5% Other
% 4.28/4.47 ; 3.998 Total
% 4.28/4.47 ; 3.999 Real time
% 4.28/4.47 ;
% 4.28/4.47 ; Term-hash-array has 29,692 terms in all.
% 4.28/4.47 ; Feature-vector-row-index has 2,451 entries (2,451 at peak, 2,496 added, 45 deleted).
% 4.28/4.47 ; Feature-vector-row-index has 9,017 nodes (9,017 at peak, 9,254 added, 237 deleted).
% 4.28/4.47 ; Retrieved 5,676 possibly forward subsuming rows in 2,579 calls.
% 4.28/4.47 ; Retrieved 3,222 possibly backward subsumed rows in 2,496 calls.
% 4.28/4.47 ; Path-index has 29,224 entries (29,225 at peak, 29,765 added, 541 deleted).
% 4.28/4.47 ; Path-index has 9,436 nodes (9,436 at peak, 9,618 added, 182 deleted).
% 4.28/4.47 ; Trie-index has 29,224 entries (29,225 at peak, 29,765 added, 541 deleted).
% 4.28/4.47 ; Trie-index has 77,279 nodes (77,282 at peak, 79,037 added, 1,758 deleted).
% 4.28/4.47 ; Retrieved 27,202 generalization terms in 102,726 calls.
% 4.28/4.47 ; Retrieved 18,213 instance terms in 18,144 calls.
% 4.28/4.47 ; Retrieved 3,220,720 unifiable terms in 15,838 calls.
% 4.28/4.47 ;
% 4.28/4.47 ; The agenda of rows to process has 541 entries:
% 4.28/4.47 ; 8 with value 11 1 with value 16 132 with value 20
% 4.28/4.47 ; 11 with value 12 16 with value 17 217 with value 21
% 4.28/4.47 ; 5 with value 13 44 with value 18 8 with value 22
% 4.28/4.47 ; 15 with value 14 68 with value 19 5 with value 23
% 4.28/4.47 ; 11 with value 15
% 4.28/4.47 ; The agenda of rows to give has 19845 entries:
% 4.28/4.47 ; 1 with value (4 9) 517 with value (4 22) 2 with value (4 35)
% 4.28/4.47 ; 1 with value (4 10) 188 with value (4 23) 3 with value (4 38)
% 4.28/4.47 ; 314 with value (4 11) 178 with value (4 24) 6 with value (4 39)
% 4.28/4.47 ; 453 with value (4 12) 66 with value (4 25) 2 with value (4 40)
% 4.28/4.47 ; 789 with value (4 13) 35 with value (4 26) 9 with value (4 41)
% 4.28/4.47 ; 847 with value (4 14) 29 with value (4 27) 13 with value (4 42)
% 4.28/4.47 ; 956 with value (4 15) 16 with value (4 28) 13 with value (4 43)
% 4.28/4.47 ; 1657 with value (4 16) 17 with value (4 29) 22 with value (4 44)
% 4.28/4.47 ; 2537 with value (4 17) 5 with value (4 30) 16 with value (4 45)
% 4.28/4.47 ; 4790 with value (4 18) 3 with value (4 31) 3 with value (4 46)
% 4.28/4.47 ; 3584 with value (4 19) 6 with value (4 32) 4 with value (4 47)
% 4.28/4.47 ; 1752 with value (4 20) 2 with value (4 33) 1 with value (4 49)
% 4.28/4.47 ; 1005 with value (4 21) 1 with value (4 34) 2 with value (4 50)
% 4.28/4.47 Evaluation took:
% 4.28/4.47 4.002 seconds of real time
% 4.28/4.47 3.730318 seconds of user run time
% 4.28/4.47 0.271191 seconds of system run time
% 4.28/4.47 [Run times include 0.675 seconds GC run time.]
% 4.28/4.47 0 calls to %EVAL
% 4.28/4.47 0 page faults and
% 4.28/4.47 241,926,432 bytes consed.
% 4.28/4.47 :PROOF-FOUND
% 4.28/4.47 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T07:16:27
% 4.28/4.47 :PROOF-FOUND
% 4.28/4.47 *
%------------------------------------------------------------------------------