TSTP Solution File: LCL076-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL076-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n014.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 : Sun Jul 17 14:20:01 EDT 2022
% Result : Unsatisfiable 1.21s 1.38s
% Output : Refutation 1.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 15 ( 13 unt; 0 nHn; 6 RR)
% Number of literals : 19 ( 0 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 25 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(cn_18,axiom,
is_a_theorem(implies(X,implies(Y,X))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_18) ).
cnf(cn_35,axiom,
is_a_theorem(implies(implies(X,implies(Y,Z)),implies(implies(X,Y),implies(X,Z)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_35) ).
cnf(cn_49,axiom,
is_a_theorem(implies(implies(not(X),not(Y)),implies(Y,X))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_49) ).
cnf(transitivity,axiom,
( ~ is_a_theorem(implies(X,Y))
| ~ is_a_theorem(implies(Y,Z))
| is_a_theorem(implies(X,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity) ).
cnf(prove_cn_40,negated_conjecture,
~ is_a_theorem(implies(a,not(not(a)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_40) ).
cnf(8,plain,
is_a_theorem(implies(X,implies(Y,implies(Z,Y)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,cn_18,cn_18]) ).
cnf(10,plain,
~ is_a_theorem(implies(not(not(not(a))),not(a))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,cn_49,prove_cn_40]) ).
cnf(13,plain,
is_a_theorem(implies(implies(X,Y),implies(X,X))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,cn_35,cn_18]) ).
cnf(18,plain,
is_a_theorem(implies(not(X),implies(X,Y))),
inference('HYPERRESOLVE',[status(thm)],[transitivity,cn_18,cn_49]) ).
cnf(31,plain,
is_a_theorem(implies(not(not(X)),implies(Y,X))),
inference('HYPERRESOLVE',[status(thm)],[transitivity,18,cn_49]) ).
cnf(41,plain,
is_a_theorem(implies(X,X)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,13,cn_18]) ).
cnf(46,plain,
is_a_theorem(implies(implies(implies(X,Y),X),implies(implies(X,Y),Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,41,cn_35]) ).
cnf(134,plain,
~ is_a_theorem(implies(implies(X,not(a)),not(a))),
inference('UR-RESOLVE',[status(thm)],[transitivity,31,10]) ).
cnf(4084,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,46,8,134]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL076-3 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jul 3 02:06:39 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T02:06:40
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-07-03T02:06:40
% 1.21/1.38
% 1.21/1.38
% 1.21/1.38 #||
% 1.21/1.38 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.21/1.38 % SZS output start Refutation
% See solution above
% 1.21/1.38 ||#
% 1.21/1.38
% 1.21/1.38 ; Summary of computation:
% 1.21/1.38 ; 10161 formulas have been input or derived (from 123 formulas).
% 1.21/1.38 ; 4084 (40%) were retained. Of these,
% 1.21/1.38 ; 5 ( 0%) were simplified or subsumed later,
% 1.21/1.38 ; 4079 (100%) are still being kept.
% 1.21/1.38 ;
% 1.21/1.38 ; Run time in seconds excluding printing time:
% 1.21/1.38 ; 0.002 0% Read assertion file (1 call)
% 1.21/1.38 ; 0.000 0% Assert (6 calls)
% 1.21/1.38 ; 0.343 38% Process new row (8,449 calls)
% 1.21/1.38 ; 0.281 31% Resolution (244 calls)
% 1.21/1.38 ; 0.011 1% Paramodulation (122 calls)
% 1.21/1.38 ; 0.000 0% Condensing (2 calls)
% 1.21/1.38 ; 0.000 0% Forward subsumption (2 calls)
% 1.21/1.38 ; 0.000 0% Backward subsumption (2 calls)
% 1.21/1.38 ; 0.000 0% Clause clause subsumption (1 call)
% 1.21/1.38 ; 0.120 13% Forward simplification (8,420 calls)
% 1.21/1.38 ; 0.098 11% Backward simplification (4,084 calls)
% 1.21/1.38 ; 0.000 0% Sortal reasoning (32 calls)
% 1.21/1.38 ; 0.000 0% Purity testing (1 call)
% 1.21/1.38 ; 0.057 6% Other
% 1.21/1.38 ; 0.912 Total
% 1.21/1.38 ; 0.914 Real time
% 1.21/1.38 ;
% 1.21/1.38 ; Term-hash-array has 9,468 terms in all.
% 1.21/1.38 ; Feature-vector-row-index has 2 entries (2 at peak, 2 added, 0 deleted).
% 1.21/1.38 ; Feature-vector-row-index has 7 nodes (7 at peak, 7 added, 0 deleted).
% 1.21/1.38 ; Retrieved 1 possibly forward subsuming row in 2 calls.
% 1.21/1.38 ; Retrieved 0 possibly backward subsumed rows in 2 calls.
% 1.21/1.38 ; Path-index has 9,460 entries (9,460 at peak, 9,470 added, 10 deleted).
% 1.21/1.38 ; Path-index has 1,997 nodes (1,997 at peak, 1,997 added, 0 deleted).
% 1.21/1.38 ; Trie-index has 9,460 entries (9,460 at peak, 9,470 added, 10 deleted).
% 1.21/1.38 ; Trie-index has 20,791 nodes (20,791 at peak, 20,807 added, 16 deleted).
% 1.21/1.38 ; Retrieved 61,885 generalization terms in 8,419 calls.
% 1.21/1.38 ; Retrieved 10,987 instance terms in 4,081 calls.
% 1.21/1.38 ; Retrieved 394,136 unifiable terms in 5,246 calls.
% 1.21/1.38 ;
% 1.21/1.38 ; The agenda of rows to process has 272 entries:
% 1.21/1.38 ; 1 with value 10 21 with value 20 14 with value 28
% 1.21/1.38 ; 4 with value 13 10 with value 21 17 with value 29
% 1.21/1.38 ; 1 with value 14 27 with value 22 9 with value 30
% 1.21/1.38 ; 1 with value 15 35 with value 23 21 with value 31
% 1.21/1.38 ; 17 with value 16 7 with value 24 20 with value 32
% 1.21/1.38 ; 3 with value 17 17 with value 25 2 with value 33
% 1.21/1.38 ; 8 with value 18 12 with value 26 2 with value 34
% 1.21/1.38 ; 19 with value 19 4 with value 27
% 1.21/1.38 ; The agenda of rows to give has 3957 entries:
% 1.21/1.38 ; 41 with value (4 19) 286 with value (4 25) 471 with value (4 30)
% 1.21/1.38 ; 72 with value (4 20) 367 with value (4 26) 280 with value (4 31)
% 1.21/1.38 ; 121 with value (4 21) 481 with value (4 27) 129 with value (4 32)
% 1.21/1.38 ; 154 with value (4 22) 492 with value (4 28) 41 with value (4 33)
% 1.21/1.38 ; 194 with value (4 23) 537 with value (4 29) 20 with value (4 34)
% 1.21/1.38 ; 271 with value (4 24)
% 1.21/1.38 Evaluation took:
% 1.21/1.38 0.915 seconds of real time
% 1.21/1.38 0.841323 seconds of user run time
% 1.21/1.38 0.072752 seconds of system run time
% 1.21/1.38 [Run times include 0.097 seconds GC run time.]
% 1.21/1.38 0 calls to %EVAL
% 1.21/1.38 0 page faults and
% 1.21/1.38 64,332,992 bytes consed.
% 1.21/1.38 :PROOF-FOUND
% 1.21/1.38 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T02:06:41
% 1.21/1.38 :PROOF-FOUND
% 1.21/1.38 *
%------------------------------------------------------------------------------