TSTP Solution File: SEU215+3 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU215+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n032.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 14:20:13 EDT 2022
% Result : Theorem 0.98s 1.21s
% Output : Refutation 0.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 11
% Syntax : Number of clauses : 18 ( 13 unt; 1 nHn; 17 RR)
% Number of literals : 39 ( 6 equ; 24 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 13 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(7,axiom,
( ~ relation(X)
| ~ function(X)
| in(Y,relation_dom(X))
| Z = apply(X,Y)
| Z != empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_funct_1) ).
cnf(9,axiom,
( ~ relation(X)
| ~ relation(Y)
| relation(relation_composition(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_relat_1) ).
cnf(15,axiom,
( ~ relation(X)
| ~ function(X)
| ~ relation(Y)
| ~ function(Y)
| function(relation_composition(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_funct_1) ).
cnf(42,axiom,
( ~ relation(X)
| ~ function(X)
| ~ relation(Y)
| ~ function(Y)
| in(Z,relation_dom(relation_composition(Y,X)))
| ~ in(Z,relation_dom(Y))
| ~ in(apply(Y,Z),relation_dom(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_funct_1) ).
cnf(43,axiom,
( ~ relation(X)
| ~ function(X)
| ~ relation(Y)
| ~ function(Y)
| ~ in(Z,relation_dom(relation_composition(Y,X)))
| apply(relation_composition(Y,X),Z) = apply(X,apply(Y,Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_funct_1) ).
cnf(44,negated_conjecture,
relation('SKOLEMAAAO11'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_funct_1) ).
cnf(45,negated_conjecture,
function('SKOLEMAAAO11'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_funct_1) ).
cnf(46,negated_conjecture,
relation('SKOLEMAAAO12'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_funct_1) ).
cnf(47,negated_conjecture,
function('SKOLEMAAAO12'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_funct_1) ).
cnf(48,negated_conjecture,
in('SKOLEMAAAO10',relation_dom('SKOLEMAAAO11')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_funct_1) ).
cnf(49,negated_conjecture,
apply(relation_composition('SKOLEMAAAO11','SKOLEMAAAO12'),'SKOLEMAAAO10') != apply('SKOLEMAAAO12',apply('SKOLEMAAAO11','SKOLEMAAAO10')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_funct_1) ).
cnf(106,plain,
relation(relation_composition('SKOLEMAAAO11','SKOLEMAAAO12')),
inference('HYPERRESOLVE',[status(thm)],[9,44,46]) ).
cnf(154,plain,
function(relation_composition('SKOLEMAAAO11','SKOLEMAAAO12')),
inference('HYPERRESOLVE',[status(thm)],[15,44,45,46,47]) ).
cnf(164,plain,
~ in('SKOLEMAAAO10',relation_dom(relation_composition('SKOLEMAAAO11','SKOLEMAAAO12'))),
inference('UR-RESOLVE',[status(thm)],[43,46,47,44,45,49]) ).
cnf(2926,plain,
~ in(apply('SKOLEMAAAO11','SKOLEMAAAO10'),relation_dom('SKOLEMAAAO12')),
inference('UR-RESOLVE',[status(thm)],[42,164,46,47,44,45,48]) ).
cnf(2927,plain,
empty_set = apply(relation_composition('SKOLEMAAAO11','SKOLEMAAAO12'),'SKOLEMAAAO10'),
inference('UR-RESOLVE',[status(thm)],[7,164,106,154,theory(equality)]) ).
cnf(2928,plain,
empty_set != apply('SKOLEMAAAO12',apply('SKOLEMAAAO11','SKOLEMAAAO10')),
inference('REWRITE',[status(thm)],[49,2927,theory(equality)]) ).
cnf(2942,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[7,2928,46,47,theory(equality)]),2926]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.09 % Problem : SEU215+3 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.10 % Command : run-snark %s %d
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 600
% 0.09/0.29 % DateTime : Sun Jun 19 10:39:03 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.13/0.37 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.37 *
% 0.13/0.37 *
% 0.13/0.38 #<PACKAGE "SNARK-USER">
% 0.13/0.38 *
% 0.13/0.38 SNARK-TPTP-OPTIONS
% 0.13/0.38 *
% 0.13/0.38 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.13/0.38 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.13/0.38 (USE-FACTORING :POS)
% 0.13/0.38 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.13/0.38 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.13/0.38 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.13/0.38 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.13/0.38 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.13/0.38 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.13/0.38 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.13/0.38 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.13/0.38 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.13/0.38 (DECLARE-TPTP-SYMBOLS2))
% 0.13/0.38 *
% 0.13/0.38 "."
% 0.13/0.38 *
% 0.13/0.38 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T10:39:03
% 0.13/0.38 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-19T10:39:03
% 0.13/0.39
% 0.13/0.39 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.13/0.39 WARNING:
% 0.13/0.39 |relation_empty_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.98/1.21 ; Declaring unordered_pair to be commutative.
% 0.98/1.21
% 0.98/1.21 #||
% 0.98/1.21 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.98/1.21 % SZS output start Refutation
% See solution above
% 0.98/1.21 ||#
% 0.98/1.21
% 0.98/1.21 ; Summary of computation:
% 0.98/1.21 ; 10747 formulas have been input or derived (from 189 formulas).
% 0.98/1.21 ; 2942 (27%) were retained. Of these,
% 0.98/1.21 ; 887 (30%) were simplified or subsumed later,
% 0.98/1.21 ; 2055 (70%) are still being kept.
% 0.98/1.21 ;
% 0.98/1.21 ; Run time in seconds excluding printing time:
% 0.98/1.21 ; 0.004 0% Read assertion file (1 call)
% 0.98/1.21 ; 0.002 0% Assert (40 calls)
% 0.98/1.21 ; 0.189 23% Process new row (10,536 calls)
% 0.98/1.21 ; 0.437 53% Resolution (376 calls)
% 0.98/1.21 ; 0.001 0% Paramodulation (188 calls)
% 0.98/1.21 ; 0.000 0% Factoring (3 calls)
% 0.98/1.21 ; 0.000 0% Condensing (709 calls)
% 0.98/1.21 ; 0.046 6% Forward subsumption (709 calls)
% 0.98/1.21 ; 0.020 2% Backward subsumption (501 calls)
% 0.98/1.21 ; 0.005 1% Clause clause subsumption (2,671 calls)
% 0.98/1.21 ; 0.048 6% Forward simplification (6,810 calls)
% 0.98/1.21 ; 0.037 4% Backward simplification (2,942 calls)
% 0.98/1.21 ; 0.000 0% Ordering (139 calls)
% 0.98/1.21 ; 0.000 0% Sortal reasoning (32 calls)
% 0.98/1.21 ; 0.000 0% Purity testing (1 call)
% 0.98/1.21 ; 0.042 5% Other
% 0.98/1.21 ; 0.831 Total
% 0.98/1.21 ; 0.832 Real time
% 0.98/1.21 ;
% 0.98/1.21 ; Term-hash-array has 5,766 terms in all.
% 0.98/1.21 ; Feature-vector-row-index has 491 entries (491 at peak, 501 added, 10 deleted).
% 0.98/1.21 ; Feature-vector-row-index has 1,043 nodes (1,043 at peak, 1,082 added, 39 deleted).
% 0.98/1.21 ; Retrieved 5,310 possibly forward subsuming rows in 709 calls.
% 0.98/1.21 ; Retrieved 2,948 possibly backward subsumed rows in 501 calls.
% 0.98/1.21 ; Path-index has 4,078 entries (4,078 at peak, 5,779 added, 1,701 deleted).
% 0.98/1.21 ; Path-index has 1,459 nodes (1,459 at peak, 1,511 added, 52 deleted).
% 0.98/1.21 ; Trie-index has 4,078 entries (4,078 at peak, 5,779 added, 1,701 deleted).
% 0.98/1.21 ; Trie-index has 13,013 nodes (13,013 at peak, 15,035 added, 2,022 deleted).
% 0.98/1.21 ; Retrieved 4,805 generalization terms in 15,831 calls.
% 0.98/1.21 ; Retrieved 2,455 instance terms in 2,440 calls.
% 0.98/1.21 ; Retrieved 1,229,556 unifiable terms in 59,592 calls.
% 0.98/1.21 ;
% 0.98/1.21 ; The agenda of rows to process has 15 entries:
% 0.98/1.21 ; 1 with value 10 4 with value 19 9 with value 24
% 0.98/1.21 ; 1 with value 16
% 0.98/1.21 ; The agenda of rows to give has 1897 entries:
% 0.98/1.21 ; 13 with value (4 10) 31 with value (4 18) 27 with value (4 30)
% 0.98/1.21 ; 442 with value (4 11) 2 with value (4 19) 54 with value (4 33)
% 0.98/1.21 ; 15 with value (4 12) 46 with value (4 20) 81 with value (4 34)
% 0.98/1.21 ; 743 with value (4 13) 9 with value (4 21) 18 with value (4 35)
% 0.98/1.21 ; 14 with value (4 14) 90 with value (4 22) 81 with value (4 39)
% 0.98/1.21 ; 24 with value (4 15) 2 with value (4 23) 54 with value (4 47)
% 0.98/1.21 ; 23 with value (4 16) 9 with value (4 25) 81 with value (4 57)
% 0.98/1.21 ; 11 with value (4 17) 27 with value (4 28)
% 0.98/1.21 Evaluation took:
% 0.98/1.21 0.833 seconds of real time
% 0.98/1.21 0.784725 seconds of user run time
% 0.98/1.21 0.048238 seconds of system run time
% 0.98/1.21 [Run times include 0.067 seconds GC run time.]
% 0.98/1.21 0 calls to %EVAL
% 0.98/1.21 0 page faults and
% 0.98/1.21 69,877,976 bytes consed.
% 0.98/1.21 :PROOF-FOUND
% 0.98/1.21 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T10:39:03
% 0.98/1.21 :PROOF-FOUND
% 0.98/1.21 *
%------------------------------------------------------------------------------