TSTP Solution File: COL059-1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : COL059-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n019.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 : Fri Jul 15 00:41:43 EDT 2022
% Result : Unsatisfiable 0.21s 0.54s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of clauses : 25 ( 25 unt; 0 nHn; 8 RR)
% Number of literals : 25 ( 24 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 28 ( 11 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(kestrel_exists,axiom,
response(response(kestrel,X),Y) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kestrel_exists) ).
cnf(lark_exists,axiom,
response(response(lark,X),Y) = response(X,response(Y,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lark_exists) ).
cnf(lark_lemma1,axiom,
response(response(response(lark,lark),X),Y) = response(response(X,X),response(Y,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lark_lemma1) ).
cnf(lark_lemma2,axiom,
response(response(response(response(lark,lark),lark),X),Y) = response(response(response(X,X),response(X,X)),response(x2,x2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lark_lemma2) ).
cnf(lark_not_egocentric,axiom,
response(l2,l2) != l2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lark_not_egocentric) ).
cnf(l2_definition,axiom,
response(lark,lark) = l2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l2_definition) ).
cnf(l3_definition,axiom,
response(l2,lark) = l3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l3_definition) ).
cnf(prove_l3_not_egocentric,negated_conjecture,
response(l3,l3) = l3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l3_not_egocentric) ).
cnf(9,plain,
response(response(l2,X),Y) = response(response(X,X),response(Y,Y)),
inference('REWRITE',[status(thm)],[lark_lemma1,l2_definition,theory(equality)]) ).
cnf(10,plain,
response(response(l3,X),Y) = response(response(l2,response(X,X)),x2),
inference('REWRITE',[status(thm)],[lark_lemma2,9,l3_definition,l2_definition,theory(equality)]) ).
cnf(15,plain,
response(response(response(lark,kestrel),X),Y) = response(X,X),
inference('PARAMODULATE',[status(thm)],[kestrel_exists,lark_exists,theory(equality)]) ).
cnf(19,plain,
response(l3,X) = response(l2,response(X,X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[9,l3_definition,theory(equality)]),l2_definition,theory(equality)]) ).
cnf(20,plain,
response(response(l3,X),Y) = response(response(l3,X),x2),
inference('REWRITE',[status(thm)],[10,19,theory(equality)]) ).
cnf(25,plain,
response(response(l2,response(kestrel,X)),Y) = response(X,response(Y,Y)),
inference('PARAMODULATE',[status(thm)],[9,kestrel_exists,theory(equality)]) ).
cnf(32,plain,
response(l3,X) = response(l3,x2),
inference('PARAMODULATE',[status(thm)],[20,prove_l3_not_egocentric,theory(equality)]) ).
cnf(35,plain,
response(l3,x2) = l3,
inference('PARAMODULATE',[status(thm)],[prove_l3_not_egocentric,32,theory(equality)]) ).
cnf(36,plain,
response(l3,X) = l3,
inference('REWRITE',[status(thm)],[32,35,theory(equality)]) ).
cnf(37,plain,
l3 = response(l2,response(X,X)),
inference('REWRITE',[status(thm)],[19,36,theory(equality)]) ).
cnf(46,plain,
l3 = response(l2,l2),
inference('PARAMODULATE',[status(thm)],[37,l2_definition,theory(equality)]) ).
cnf(47,plain,
l3 != l2,
inference('REWRITE',[status(thm)],[lark_not_egocentric,46,theory(equality)]) ).
cnf(48,plain,
l3 = response(l2,X),
inference('PARAMODULATE',[status(thm)],[37,kestrel_exists,theory(equality)]) ).
cnf(49,plain,
l3 = response(X,response(Y,Y)),
inference('REWRITE',[status(thm)],[25,36,48,theory(equality)]) ).
cnf(51,plain,
response(response(lark,X),Y) = l3,
inference('REWRITE',[status(thm)],[lark_exists,49,theory(equality)]) ).
cnf(53,plain,
l3 = response(X,X),
inference('REWRITE',[status(thm)],[15,36,51,theory(equality)]) ).
cnf(54,plain,
$false,
inference('REWRITE',[status(thm)],[l2_definition,47,53,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : COL059-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.14 % Command : run-snark %s %d
% 0.15/0.35 % Computer : n019.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Tue May 31 15:52:55 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.21/0.48 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.49 *
% 0.21/0.49 *
% 0.21/0.50 #<PACKAGE "SNARK-USER">
% 0.21/0.50 *
% 0.21/0.50 SNARK-TPTP-OPTIONS
% 0.21/0.50 *
% 0.21/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.50 (USE-FACTORING :POS)
% 0.21/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.50 *
% 0.21/0.50 "."
% 0.21/0.50 *
% 0.21/0.50 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-31T15:52:56
% 0.21/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-05-31T15:52:56
% 0.21/0.54
% 0.21/0.54
% 0.21/0.54 #||
% 0.21/0.54 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.54 % SZS output start Refutation
% See solution above
% 0.21/0.55 ||#
% 0.21/0.55
% 0.21/0.55 ; Summary of computation:
% 0.21/0.55 ; 136 formulas have been input or derived (from 13 formulas).
% 0.21/0.55 ; 54 (40%) were retained. Of these,
% 0.21/0.55 ; 46 (85%) were simplified or subsumed later,
% 0.21/0.55 ; 8 (15%) are still being kept.
% 0.21/0.55 ;
% 0.21/0.55 ; Run time in seconds excluding printing time:
% 0.21/0.55 ; 0.002 4% Read assertion file (1 call)
% 0.21/0.55 ; 0.001 2% Assert (8 calls)
% 0.21/0.55 ; 0.006 13% Process new row (107 calls)
% 0.21/0.55 ; 0.001 2% Resolution (24 calls)
% 0.21/0.55 ; 0.002 4% Paramodulation (12 calls)
% 0.21/0.55 ; 0.005 11% Forward simplification (95 calls)
% 0.21/0.55 ; 0.003 7% Backward simplification (54 calls)
% 0.21/0.55 ; 0.003 7% Ordering (435 calls)
% 0.21/0.55 ; 0.000 0% Sortal reasoning (32 calls)
% 0.21/0.55 ; 0.000 0% Purity testing (1 call)
% 0.21/0.55 ; 0.022 49% Other
% 0.21/0.55 ; 0.045 Total
% 0.21/0.55 ; 0.047 Real time
% 0.21/0.55 ;
% 0.21/0.55 ; Term-hash-array has 145 terms in all.
% 0.21/0.55 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.21/0.55 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.21/0.55 ; Path-index has 19 entries (114 at peak, 170 added, 151 deleted).
% 0.21/0.55 ; Path-index has 87 nodes (157 at peak, 210 added, 123 deleted).
% 0.21/0.55 ; Trie-index has 19 entries (114 at peak, 170 added, 151 deleted).
% 0.21/0.55 ; Trie-index has 46 nodes (393 at peak, 572 added, 526 deleted).
% 0.21/0.55 ; Retrieved 382 generalization terms in 429 calls.
% 0.21/0.55 ; Retrieved 170 instance terms in 87 calls.
% 0.21/0.55 ; Retrieved 190 unifiable terms in 77 calls.
% 0.21/0.55 ;
% 0.21/0.55 ; The agenda of backward simplifiable rows to process has 20 entries:
% 0.21/0.55 ; 20 with value 0
% 0.21/0.55 ; The agenda of rows to process has 8 entries:
% 0.21/0.55 ; 2 with value 9 1 with value 18 1 with value 21
% 0.21/0.55 ; 1 with value 12 1 with value 20 1 with value 22
% 0.21/0.55 ; 1 with value 15
% 0.21/0.55 ; The agenda of input rows to give has 2 entries:
% 0.21/0.55 ; 1 with value 4 1 with value 10
% 0.21/0.55 ; The agenda of rows to give has 3 entries:
% 0.21/0.55 ; 2 with value (4 8) 1 with value (4 9)
% 0.21/0.55 Evaluation took:
% 0.21/0.55 0.047 seconds of real time
% 0.21/0.55 0.041959 seconds of user run time
% 0.21/0.55 0.005792 seconds of system run time
% 0.21/0.55 0 calls to %EVAL
% 0.21/0.55 0 page faults and
% 0.21/0.55 3,583,032 bytes consed.
% 0.21/0.55 :PROOF-FOUND
% 0.21/0.55 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-31T15:52:56
% 0.21/0.55 :PROOF-FOUND
% 0.21/0.55 *
%------------------------------------------------------------------------------