TSTP Solution File: LCL380-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL380-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.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 14:22:29 EDT 2022
% Result : Unsatisfiable 13.85s 14.09s
% Output : Refutation 13.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of clauses : 22 ( 21 unt; 0 nHn; 5 RR)
% Number of literals : 24 ( 0 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 52 ( 15 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_1,axiom,
is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_1) ).
cnf(cn_2,axiom,
is_a_theorem(implies(implies(not(X),X),X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_2) ).
cnf(cn_3,axiom,
is_a_theorem(implies(X,implies(not(X),Y))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_3) ).
cnf(prove_cn_41,negated_conjecture,
~ is_a_theorem(implies(implies(x,y),implies(not(not(x)),y))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_41) ).
cnf(12,plain,
is_a_theorem(implies(implies(X,Y),implies(implies(not(X),X),Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,cn_1,cn_2]) ).
cnf(13,plain,
is_a_theorem(implies(implies(implies(not(X),Y),Z),implies(X,Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,cn_1,cn_3]) ).
cnf(14,plain,
is_a_theorem(implies(implies(implies(implies(X,Y),implies(Z,Y)),U),implies(implies(Z,X),U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,cn_1,cn_1]) ).
cnf(59,plain,
is_a_theorem(implies(implies(implies(implies(not(X),X),Y),Z),implies(implies(X,Y),Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,12,cn_1]) ).
cnf(83,plain,
is_a_theorem(implies(X,implies(implies(not(not(X)),not(X)),Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,13,12]) ).
cnf(615,plain,
is_a_theorem(implies(implies(X,not(Y)),implies(Y,implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,14,13]) ).
cnf(617,plain,
is_a_theorem(implies(implies(X,implies(Y,Z)),implies(implies(U,Y),implies(X,implies(U,Z))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,14,14]) ).
cnf(662,plain,
is_a_theorem(implies(X,implies(Y,implies(not(X),Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,615,13]) ).
cnf(709,plain,
is_a_theorem(implies(implies(implies(X,implies(not(Y),Z)),U),implies(Y,U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,662,cn_1]) ).
cnf(2442,plain,
~ is_a_theorem(implies(implies(implies(not(x),x),y),implies(not(not(x)),y))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,59,prove_cn_41]) ).
cnf(2444,plain,
is_a_theorem(implies(implies(X,implies(not(Y),Y)),implies(implies(Y,Z),implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,59,14]) ).
cnf(4280,plain,
is_a_theorem(implies(implies(X,implies(not(not(Y)),not(Y))),implies(Y,implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,617,83]) ).
cnf(6313,plain,
~ is_a_theorem(implies(not(not(x)),implies(not(implies(not(x),x)),implies(not(x),x)))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,2444,2442]) ).
cnf(17859,plain,
is_a_theorem(implies(not(X),implies(X,implies(Y,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,4280,709]) ).
cnf(18122,plain,
is_a_theorem(implies(implies(implies(X,implies(Y,Z)),U),implies(not(X),U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,17859,cn_1]) ).
cnf(27244,plain,
is_a_theorem(implies(not(X),implies(Y,implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,18122,4280]) ).
cnf(27245,plain,
$false,
inference('REWRITE',[status(thm)],[6313,27244]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LCL380-1 : TPTP v8.1.0. Released v2.3.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.12/0.32 % Computer : n028.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Mon Jul 4 02:07:34 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.16/0.42 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.43 *
% 0.16/0.43 *
% 0.16/0.44 #<PACKAGE "SNARK-USER">
% 0.16/0.44 *
% 0.16/0.44 SNARK-TPTP-OPTIONS
% 0.16/0.44 *
% 0.16/0.44 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.16/0.44 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.16/0.44 (USE-FACTORING :POS)
% 0.16/0.44 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.16/0.44 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.16/0.44 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.16/0.44 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.16/0.44 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.16/0.44 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.16/0.44 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.16/0.44 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.16/0.44 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.16/0.44 (DECLARE-TPTP-SYMBOLS2))
% 0.16/0.44 *
% 0.16/0.44 "."
% 0.16/0.44 *
% 0.16/0.44 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T02:07:34
% 0.16/0.44 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-07-04T02:07:34
% 13.85/14.09
% 13.85/14.09
% 13.85/14.09 #||
% 13.85/14.09 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.85/14.09 % SZS output start Refutation
% See solution above
% 13.85/14.09 ||#
% 13.85/14.09
% 13.85/14.09 ; Summary of computation:
% 13.85/14.09 ; 43528 formulas have been input or derived (from 342 formulas).
% 13.85/14.09 ; 27245 (63%) were retained. Of these,
% 13.85/14.09 ; 172 ( 1%) were simplified or subsumed later,
% 13.85/14.09 ; 27073 (99%) are still being kept.
% 13.85/14.09 ;
% 13.85/14.09 ; Run time in seconds excluding printing time:
% 13.85/14.09 ; 0.001 0% Read assertion file (1 call)
% 13.85/14.09 ; 0.000 0% Assert (5 calls)
% 13.85/14.09 ; 3.516 26% Process new row (39,433 calls)
% 13.85/14.09 ; 6.829 50% Resolution (682 calls)
% 13.85/14.09 ; 0.294 2% Paramodulation (341 calls)
% 13.85/14.09 ; 0.000 0% Condensing (1 call)
% 13.85/14.09 ; 0.000 0% Forward subsumption (1 call)
% 13.85/14.09 ; 0.000 0% Backward subsumption (1 call)
% 13.85/14.09 ; 1.245 9% Forward simplification (39,135 calls)
% 13.85/14.09 ; 1.585 12% Backward simplification (27,245 calls)
% 13.85/14.09 ; 0.000 0% Sortal reasoning (32 calls)
% 13.85/14.09 ; 0.000 0% Purity testing (1 call)
% 13.85/14.09 ; 0.174 1% Other
% 13.85/14.09 ; 13.644 Total
% 13.85/14.09 ; 13.649 Real time
% 13.85/14.09 ;
% 13.85/14.09 ; Term-hash-array has 60,364 terms in all.
% 13.85/14.09 ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 13.85/14.09 ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 13.85/14.09 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 13.85/14.09 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 13.85/14.09 ; Path-index has 59,930 entries (59,932 at peak, 60,425 added, 495 deleted).
% 13.85/14.09 ; Path-index has 17,656 nodes (17,656 at peak, 17,656 added, 0 deleted).
% 13.85/14.09 ; Trie-index has 59,930 entries (59,932 at peak, 60,425 added, 495 deleted).
% 13.85/14.09 ; Trie-index has 270,349 nodes (270,361 at peak, 271,762 added, 1,413 deleted).
% 13.85/14.09 ; Retrieved 373,719 generalization terms in 39,132 calls.
% 13.85/14.09 ; Retrieved 172,808 instance terms in 27,243 calls.
% 13.85/14.09 ; Retrieved 16,653,303 unifiable terms in 15,395 calls.
% 13.85/14.09 ;
% 13.85/14.09 ; The agenda of rows to process has 517 entries:
% 13.85/14.09 ; 5 with value 20 27 with value 29 30 with value 38
% 13.85/14.09 ; 7 with value 21 24 with value 30 72 with value 39
% 13.85/14.09 ; 25 with value 22 8 with value 31 30 with value 40
% 13.85/14.09 ; 19 with value 23 5 with value 32 21 with value 41
% 13.85/14.09 ; 7 with value 24 19 with value 33 6 with value 42
% 13.85/14.09 ; 23 with value 25 12 with value 34 2 with value 44
% 13.85/14.09 ; 30 with value 26 28 with value 35 1 with value 47
% 13.85/14.09 ; 28 with value 27 20 with value 36 1 with value 50
% 13.85/14.09 ; 33 with value 28 34 with value 37
% 13.85/14.09 ; The agenda of rows to give has 26737 entries:
% 13.85/14.09 ; 1 with value (4 19) 1915 with value (4 41) 23 with value (4 60)
% 13.85/14.09 ; 1 with value (4 20) 1044 with value (4 42) 16 with value (4 61)
% 13.85/14.09 ; 8 with value (4 24) 237 with value (4 43) 22 with value (4 62)
% 13.85/14.09 ; 103 with value (4 25) 72 with value (4 44) 7 with value (4 63)
% 13.85/14.09 ; 163 with value (4 26) 55 with value (4 45) 9 with value (4 64)
% 13.85/14.09 ; 261 with value (4 27) 49 with value (4 46) 24 with value (4 65)
% 13.85/14.09 ; 414 with value (4 28) 39 with value (4 47) 11 with value (4 66)
% 13.85/14.09 ; 507 with value (4 29) 30 with value (4 48) 17 with value (4 67)
% 13.85/14.09 ; 598 with value (4 30) 39 with value (4 49) 21 with value (4 68)
% 13.85/14.09 ; 696 with value (4 31) 19 with value (4 50) 4 with value (4 69)
% 13.85/14.09 ; 1051 with value (4 32) 23 with value (4 51) 8 with value (4 70)
% 13.85/14.09 ; 1436 with value (4 33) 30 with value (4 52) 15 with value (4 71)
% 13.85/14.09 ; 1660 with value (4 34) 23 with value (4 53) 1 with value (4 72)
% 13.85/14.09 ; 2031 with value (4 35) 22 with value (4 54) 9 with value (4 73)
% 13.85/14.09 ; 2200 with value (4 36) 14 with value (4 55) 8 with value (4 74)
% 13.85/14.09 ; 2586 with value (4 37) 36 with value (4 56) 1 with value (4 76)
% 13.85/14.09 ; 3062 with value (4 38) 17 with value (4 57) 5 with value (4 77)
% 13.85/14.09 ; 3247 with value (4 39) 35 with value (4 58) 1 with value (4 80)
% 13.85/14.09 ; 2803 with value (4 40) 6 with value (4 59) 2 with value (4 84)
% 13.85/14.09 Evaluation took:
% 13.85/14.09 13.651 seconds of real time
% 13.85/14.09 13.111894 seconds of user run time
% 13.85/14.09 0.536841 seconds of system run time
% 13.85/14.09 [Run times include 2.431 seconds GC run time.]
% 13.85/14.09 0 calls to %EVAL
% 13.85/14.09 0 page faults and
% 13.85/14.09 645,460,128 bytes consed.
% 13.85/14.09 :PROOF-FOUND
% 13.85/14.09 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T02:07:48
% 13.85/14.09 :PROOF-FOUND
% 13.85/14.09 *
%------------------------------------------------------------------------------