TSTP Solution File: SET641+3 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET641+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n007.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 05:11:13 EDT 2022
% Result : Theorem 0.42s 0.61s
% Output : Refutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of clauses : 23 ( 10 unt; 4 nHn; 21 RR)
% Number of literals : 53 ( 0 equ; 33 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 31 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ ilf_type(Z,subset_type(cross_product(X,Y)))
| ilf_type(Z,relation_type(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
cnf(11,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ subset(X,Y)
| ~ ilf_type(Z,set_type)
| ~ member(Z,X)
| member(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5) ).
cnf(17,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ilf_type(Y,subset_type(X))
| ~ ilf_type(Y,member_type(power_set(X))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7) ).
cnf(22,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| member(X,power_set(Y))
| member('SKOLEMAAAV6'(X,Y),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10) ).
cnf(23,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| member(X,power_set(Y))
| ~ member('SKOLEMAAAV6'(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10) ).
cnf(24,axiom,
( ~ ilf_type(X,set_type)
| ~ empty(power_set(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11) ).
cnf(27,axiom,
( ~ ilf_type(X,set_type)
| empty(Y)
| ~ ilf_type(Y,set_type)
| ilf_type(X,member_type(Y))
| ~ member(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12) ).
cnf(40,axiom,
ilf_type(X,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18) ).
cnf(41,negated_conjecture,
subset('SKOLEMAAAV12',cross_product('SKOLEMAAAV13','SKOLEMAAAV14')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_3) ).
cnf(42,negated_conjecture,
~ ilf_type('SKOLEMAAAV12',relation_type('SKOLEMAAAV13','SKOLEMAAAV14')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_3) ).
cnf(43,plain,
( ~ ilf_type(X,subset_type(cross_product(Y,Z)))
| ilf_type(X,relation_type(Y,Z)) ),
inference('REWRITE',[status(thm)],[1,40]) ).
cnf(50,plain,
( ~ subset(X,Y)
| ~ member(Z,X)
| member(Z,Y) ),
inference('REWRITE',[status(thm)],[11,40]) ).
cnf(54,plain,
( ilf_type(X,subset_type(Y))
| ~ ilf_type(X,member_type(power_set(Y))) ),
inference('REWRITE',[status(thm)],[17,40]) ).
cnf(58,plain,
( member(X,power_set(Y))
| member('SKOLEMAAAV6'(X,Y),X) ),
inference('REWRITE',[status(thm)],[22,40]) ).
cnf(59,plain,
( member(X,power_set(Y))
| ~ member('SKOLEMAAAV6'(X,Y),Y) ),
inference('REWRITE',[status(thm)],[23,40]) ).
cnf(60,plain,
~ empty(power_set(X)),
inference('REWRITE',[status(thm)],[24,40]) ).
cnf(62,plain,
( empty(X)
| ilf_type(Y,member_type(X))
| ~ member(Y,X) ),
inference('REWRITE',[status(thm)],[27,40]) ).
cnf(102,plain,
~ ilf_type('SKOLEMAAAV12',subset_type(cross_product('SKOLEMAAAV13','SKOLEMAAAV14'))),
inference('UR-RESOLVE',[status(thm)],[43,42]) ).
cnf(185,plain,
~ ilf_type('SKOLEMAAAV12',member_type(power_set(cross_product('SKOLEMAAAV13','SKOLEMAAAV14')))),
inference('UR-RESOLVE',[status(thm)],[54,102]) ).
cnf(294,plain,
~ member('SKOLEMAAAV12',power_set(cross_product('SKOLEMAAAV13','SKOLEMAAAV14'))),
inference('UR-RESOLVE',[status(thm)],[62,185,60]) ).
cnf(296,plain,
member('SKOLEMAAAV6'('SKOLEMAAAV12',cross_product('SKOLEMAAAV13','SKOLEMAAAV14')),'SKOLEMAAAV12'),
inference('UR-RESOLVE',[status(thm)],[58,294]) ).
cnf(299,plain,
~ member('SKOLEMAAAV6'('SKOLEMAAAV12',cross_product('SKOLEMAAAV13','SKOLEMAAAV14')),cross_product('SKOLEMAAAV13','SKOLEMAAAV14')),
inference('UR-RESOLVE',[status(thm)],[59,294]) ).
cnf(401,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[50,296,41]),299]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET641+3 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n007.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 : Sun Jul 10 08:05:46 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 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 2022-07-10T08:05:47
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-07-10T08:05:47
% 0.42/0.61
% 0.42/0.61
% 0.42/0.61 #||
% 0.42/0.61 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.42/0.61 % SZS output start Refutation
% See solution above
% 0.42/0.61 ||#
% 0.42/0.61
% 0.42/0.61 ; Summary of computation:
% 0.42/0.61 ; 612 formulas have been input or derived (from 64 formulas).
% 0.42/0.61 ; 401 (66%) were retained. Of these,
% 0.42/0.61 ; 100 (25%) were simplified or subsumed later,
% 0.42/0.61 ; 301 (75%) are still being kept.
% 0.42/0.61 ;
% 0.42/0.61 ; Run time in seconds excluding printing time:
% 0.42/0.61 ; 0.006 4% Read assertion file (1 call)
% 0.42/0.61 ; 0.002 1% Assert (19 calls)
% 0.42/0.61 ; 0.030 22% Process new row (530 calls)
% 0.42/0.61 ; 0.018 13% Resolution (126 calls)
% 0.42/0.61 ; 0.001 1% Paramodulation (63 calls)
% 0.42/0.61 ; 0.000 0% Factoring (11 calls)
% 0.42/0.61 ; 0.010 7% Condensing (315 calls)
% 0.42/0.61 ; 0.018 13% Forward subsumption (315 calls)
% 0.42/0.61 ; 0.011 8% Backward subsumption (289 calls)
% 0.42/0.61 ; 0.001 1% Clause clause subsumption (566 calls)
% 0.42/0.61 ; 0.005 4% Forward simplification (530 calls)
% 0.42/0.61 ; 0.006 4% Backward simplification (401 calls)
% 0.42/0.61 ; 0.002 1% Ordering (522 calls)
% 0.42/0.61 ; 0.001 1% Sortal reasoning (32 calls)
% 0.42/0.61 ; 0.000 0% Purity testing (1 call)
% 0.42/0.61 ; 0.023 17% Other
% 0.42/0.61 ; 0.134 Total
% 0.42/0.61 ; 0.137 Real time
% 0.42/0.61 ;
% 0.42/0.61 ; Term-hash-array has 742 terms in all.
% 0.42/0.61 ; Feature-vector-row-index has 189 entries (223 at peak, 289 added, 100 deleted).
% 0.42/0.61 ; Feature-vector-row-index has 1,016 nodes (1,207 at peak, 1,529 added, 513 deleted).
% 0.42/0.61 ; Retrieved 474 possibly forward subsuming rows in 315 calls.
% 0.42/0.61 ; Retrieved 125 possibly backward subsumed rows in 289 calls.
% 0.42/0.61 ; Path-index has 705 entries (705 at peak, 904 added, 199 deleted).
% 0.42/0.61 ; Path-index has 2,041 nodes (2,041 at peak, 2,207 added, 166 deleted).
% 0.42/0.61 ; Trie-index has 705 entries (705 at peak, 904 added, 199 deleted).
% 0.42/0.61 ; Trie-index has 3,140 nodes (3,140 at peak, 3,885 added, 745 deleted).
% 0.42/0.61 ; Retrieved 290 generalization terms in 929 calls.
% 0.42/0.61 ; Retrieved 141 instance terms in 111 calls.
% 0.42/0.61 ; Retrieved 7,774 unifiable terms in 825 calls.
% 0.42/0.61 ;
% 0.42/0.61 ; The agenda of rows to process has 39 entries:
% 0.42/0.61 ; 1 with value 19 8 with value 23 10 with value 26
% 0.42/0.61 ; 4 with value 21 9 with value 24 2 with value 28
% 0.42/0.61 ; 5 with value 22
% 0.42/0.61 ; The agenda of rows to give has 239 entries:
% 0.42/0.61 ; 1 with value (4 8) 33 with value (4 20) 3 with value (4 32)
% 0.42/0.61 ; 1 with value (4 9) 26 with value (4 21) 1 with value (4 33)
% 0.42/0.61 ; 1 with value (4 10) 15 with value (4 22) 3 with value (4 35)
% 0.42/0.61 ; 2 with value (4 12) 24 with value (4 23) 2 with value (4 37)
% 0.42/0.61 ; 2 with value (4 13) 13 with value (4 24) 1 with value (4 40)
% 0.42/0.61 ; 5 with value (4 15) 2 with value (4 25) 2 with value (4 42)
% 0.42/0.61 ; 13 with value (4 16) 6 with value (4 26) 2 with value (4 43)
% 0.42/0.61 ; 18 with value (4 17) 4 with value (4 27) 1 with value (4 47)
% 0.42/0.61 ; 12 with value (4 18) 4 with value (4 28) 1 with value (4 48)
% 0.42/0.61 ; 38 with value (4 19) 3 with value (4 30)
% 0.42/0.61 Evaluation took:
% 0.42/0.61 0.138 seconds of real time
% 0.42/0.61 0.123252 seconds of user run time
% 0.42/0.61 0.014198 seconds of system run time
% 0.42/0.61 0 calls to %EVAL
% 0.42/0.61 0 page faults and
% 0.42/0.61 9,633,912 bytes consed.
% 0.42/0.61 :PROOF-FOUND
% 0.42/0.61 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T08:05:47
% 0.42/0.61 :PROOF-FOUND
% 0.42/0.61 *
%------------------------------------------------------------------------------