TSTP Solution File: SEU212+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU212+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n005.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 14:20:10 EDT 2022
% Result : Theorem 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 13 ( 6 unt; 2 nHn; 13 RR)
% Number of literals : 29 ( 7 equ; 17 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 10 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(4,axiom,
( ~ relation(X)
| ~ function(X)
| ~ in(Y,relation_dom(X))
| Z != apply(X,Y)
| in(ordered_pair(Y,Z),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_funct_1) ).
cnf(5,axiom,
( ~ relation(X)
| ~ function(X)
| ~ in(Y,relation_dom(X))
| Z = apply(X,Y)
| ~ in(ordered_pair(Y,Z),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_funct_1) ).
cnf(9,axiom,
( ~ relation(X)
| Y != relation_dom(X)
| in(Z,Y)
| ~ in(ordered_pair(Z,U),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_relat_1) ).
cnf(36,negated_conjecture,
relation('SKOLEMAAAV13'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_funct_1) ).
cnf(37,negated_conjecture,
function('SKOLEMAAAV13'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_funct_1) ).
cnf(38,negated_conjecture,
( ~ in(ordered_pair('SKOLEMAAAV11','SKOLEMAAAV12'),'SKOLEMAAAV13')
| ~ in('SKOLEMAAAV11',relation_dom('SKOLEMAAAV13'))
| 'SKOLEMAAAV12' != apply('SKOLEMAAAV13','SKOLEMAAAV11') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_funct_1) ).
cnf(39,negated_conjecture,
( in(ordered_pair('SKOLEMAAAV11','SKOLEMAAAV12'),'SKOLEMAAAV13')
| in('SKOLEMAAAV11',relation_dom('SKOLEMAAAV13')) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_funct_1) ).
cnf(40,negated_conjecture,
( in(ordered_pair('SKOLEMAAAV11','SKOLEMAAAV12'),'SKOLEMAAAV13')
| 'SKOLEMAAAV12' = apply('SKOLEMAAAV13','SKOLEMAAAV11') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_funct_1) ).
cnf(61,plain,
in('SKOLEMAAAV11',relation_dom('SKOLEMAAAV13')),
inference('HYPERRESOLVE',[status(thm)],[9,36,39,theory(equality)]) ).
cnf(62,plain,
( ~ in(ordered_pair('SKOLEMAAAV11','SKOLEMAAAV12'),'SKOLEMAAAV13')
| 'SKOLEMAAAV12' != apply('SKOLEMAAAV13','SKOLEMAAAV11') ),
inference('REWRITE',[status(thm)],[38,61]) ).
cnf(83,plain,
'SKOLEMAAAV12' = apply('SKOLEMAAAV13','SKOLEMAAAV11'),
inference('HYPERRESOLVE',[status(thm)],[5,61,36,37,40]) ).
cnf(84,plain,
~ in(ordered_pair('SKOLEMAAAV11','SKOLEMAAAV12'),'SKOLEMAAAV13'),
inference('REWRITE',[status(thm)],[62,83,theory(equality)]) ).
cnf(86,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[4,61,36,37,theory(equality)]),84,83,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU212+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n005.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sun Jun 19 18:56:08 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T18:56:08
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-06-19T18:56:08
% 0.20/0.49
% 0.20/0.50 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.20/0.50 WARNING:
% 0.20/0.50 |relation_empty_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.53 ; Declaring unordered_pair to be commutative.
% 0.20/0.53
% 0.20/0.53 #||
% 0.20/0.53 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.53 % SZS output start Refutation
% See solution above
% 0.20/0.53 ||#
% 0.20/0.53
% 0.20/0.53 ; Summary of computation:
% 0.20/0.53 ; 157 formulas have been input or derived (from 51 formulas).
% 0.20/0.53 ; 86 (55%) were retained. Of these,
% 0.20/0.53 ; 17 (20%) were simplified or subsumed later,
% 0.20/0.53 ; 69 (80%) are still being kept.
% 0.20/0.53 ;
% 0.20/0.53 ; Run time in seconds excluding printing time:
% 0.20/0.53 ; 0.005 10% Read assertion file (1 call)
% 0.20/0.53 ; 0.001 2% Assert (35 calls)
% 0.20/0.53 ; 0.005 10% Process new row (138 calls)
% 0.20/0.53 ; 0.005 10% Resolution (100 calls)
% 0.20/0.53 ; 0.002 4% Paramodulation (50 calls)
% 0.20/0.53 ; 0.000 0% Factoring (2 calls)
% 0.20/0.53 ; 0.001 2% Condensing (43 calls)
% 0.20/0.53 ; 0.000 0% Forward subsumption (43 calls)
% 0.20/0.53 ; 0.000 0% Backward subsumption (35 calls)
% 0.20/0.53 ; 0.000 0% Clause clause subsumption (12 calls)
% 0.20/0.53 ; 0.002 4% Forward simplification (134 calls)
% 0.20/0.53 ; 0.003 6% Backward simplification (86 calls)
% 0.20/0.53 ; 0.000 0% Ordering (61 calls)
% 0.20/0.53 ; 0.001 2% Sortal reasoning (32 calls)
% 0.20/0.53 ; 0.000 0% Purity testing (1 call)
% 0.20/0.53 ; 0.025 50% Other
% 0.20/0.53 ; 0.050 Total
% 0.20/0.53 ; 0.053 Real time
% 0.20/0.53 ;
% 0.20/0.53 ; Term-hash-array has 142 terms in all.
% 0.20/0.53 ; Feature-vector-row-index has 27 entries (31 at peak, 35 added, 8 deleted).
% 0.20/0.53 ; Feature-vector-row-index has 127 nodes (174 at peak, 215 added, 88 deleted).
% 0.20/0.53 ; Retrieved 12 possibly forward subsuming rows in 43 calls.
% 0.20/0.53 ; Retrieved 0 possibly backward subsumed rows in 35 calls.
% 0.20/0.53 ; Path-index has 141 entries (141 at peak, 158 added, 17 deleted).
% 0.20/0.53 ; Path-index has 310 nodes (313 at peak, 330 added, 20 deleted).
% 0.20/0.53 ; Trie-index has 141 entries (141 at peak, 158 added, 17 deleted).
% 0.20/0.53 ; Trie-index has 341 nodes (342 at peak, 369 added, 28 deleted).
% 0.20/0.53 ; Retrieved 37 generalization terms in 130 calls.
% 0.20/0.53 ; Retrieved 50 instance terms in 50 calls.
% 0.20/0.53 ; Retrieved 3,568 unifiable terms in 733 calls.
% 0.20/0.53 ;
% 0.20/0.53 ; The agenda of rows to process has 3 entries:
% 0.20/0.53 ; 3 with value 12
% 0.20/0.53 ; The agenda of input rows to give has 1 entry:
% 0.20/0.53 ; 1 with value 7
% 0.20/0.53 ; The agenda of rows to give has 23 entries:
% 0.20/0.53 ; 1 with value (4 7) 1 with value (4 11) 1 with value (4 19)
% 0.20/0.53 ; 6 with value (4 8) 3 with value (4 12) 1 with value (4 20)
% 0.20/0.53 ; 2 with value (4 9) 2 with value (4 14) 4 with value (4 26)
% 0.20/0.53 ; 2 with value (4 10)
% 0.20/0.53 Evaluation took:
% 0.20/0.53 0.054 seconds of real time
% 0.20/0.53 0.04621 seconds of user run time
% 0.20/0.53 0.007044 seconds of system run time
% 0.20/0.53 0 calls to %EVAL
% 0.20/0.53 0 page faults and
% 0.20/0.53 3,304,256 bytes consed.
% 0.20/0.53 :PROOF-FOUND
% 0.20/0.53 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T18:56:08
% 0.20/0.53 :PROOF-FOUND
% 0.20/0.53 *
%------------------------------------------------------------------------------