TSTP Solution File: LCL049-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL049-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 14:19:46 EDT 2022
% Result : Unsatisfiable 53.23s 53.45s
% Output : Refutation 53.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of clauses : 26 ( 25 unt; 0 nHn; 5 RR)
% Number of literals : 28 ( 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 : 66 ( 19 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_20,negated_conjecture,
~ is_a_theorem(implies(a,implies(implies(a,b),b))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_20) ).
cnf(8,plain,
~ is_a_theorem(implies(implies(implies(not(X),X),X),implies(a,implies(implies(a,b),b)))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,prove_cn_20,cn_2]) ).
cnf(11,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(12,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(13,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(39,plain,
is_a_theorem(implies(implies(implies(implies(not(X),X),Y),Z),implies(implies(X,Y),Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,11,cn_1]) ).
cnf(57,plain,
is_a_theorem(implies(X,implies(implies(not(not(X)),not(X)),Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,12,11]) ).
cnf(274,plain,
~ is_a_theorem(implies(a,implies(not(implies(implies(a,b),b)),implies(implies(a,b),b)))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,8,cn_1]) ).
cnf(393,plain,
is_a_theorem(implies(implies(X,not(Y)),implies(Y,implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,13,12]) ).
cnf(395,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,13,13]) ).
cnf(427,plain,
is_a_theorem(implies(X,implies(Y,implies(not(X),Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,393,12]) ).
cnf(478,plain,
is_a_theorem(implies(implies(implies(X,implies(not(Y),Z)),U),implies(Y,U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,427,cn_1]) ).
cnf(1204,plain,
is_a_theorem(implies(implies(X,implies(not(Y),Y)),implies(implies(Y,Z),implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,39,13]) ).
cnf(2787,plain,
is_a_theorem(implies(implies(X,implies(not(not(Y)),not(Y))),implies(Y,implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,395,57]) ).
cnf(4138,plain,
is_a_theorem(implies(X,implies(implies(X,Y),implies(Z,Y)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,1204,478]) ).
cnf(4237,plain,
is_a_theorem(implies(implies(implies(implies(X,Y),implies(Z,Y)),U),implies(X,U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,4138,cn_1]) ).
cnf(15582,plain,
is_a_theorem(implies(not(X),implies(X,implies(Y,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,2787,478]) ).
cnf(15812,plain,
is_a_theorem(implies(implies(implies(X,implies(Y,Z)),U),implies(not(X),U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,15582,cn_1]) ).
cnf(25505,plain,
is_a_theorem(implies(not(X),implies(Y,implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,15812,2787]) ).
cnf(25831,plain,
is_a_theorem(implies(implies(implies(X,Y),Z),implies(not(X),Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,25505,1204]) ).
cnf(28309,plain,
is_a_theorem(implies(implies(X,Y),implies(not(Y),implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,25831,13]) ).
cnf(77185,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,4237,28309,274]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL049-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jul 2 12:49:54 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-02T12:49:55
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-07-02T12:49:55
% 53.23/53.45
% 53.23/53.45
% 53.23/53.45 #||
% 53.23/53.45 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 53.23/53.45 % SZS output start Refutation
% See solution above
% 53.23/53.45 ||#
% 53.23/53.45
% 53.23/53.45 ; Summary of computation:
% 53.23/53.45 ; 115781 formulas have been input or derived (from 610 formulas).
% 53.23/53.45 ; 77185 (67%) were retained. Of these,
% 53.23/53.45 ; 3665 ( 5%) were simplified or subsumed later,
% 53.23/53.45 ; 73520 (95%) are still being kept.
% 53.23/53.45 ;
% 53.23/53.45 ; Run time in seconds excluding printing time:
% 53.23/53.45 ; 0.001 0% Read assertion file (1 call)
% 53.23/53.45 ; 0.000 0% Assert (5 calls)
% 53.23/53.45 ; 11.749 22% Process new row (106,078 calls)
% 53.23/53.45 ; 25.394 48% Resolution (1,218 calls)
% 53.23/53.45 ; 1.055 2% Paramodulation (609 calls)
% 53.23/53.45 ; 0.000 0% Condensing (1 call)
% 53.23/53.45 ; 0.000 0% Forward subsumption (1 call)
% 53.23/53.45 ; 0.000 0% Backward subsumption (1 call)
% 53.23/53.45 ; 4.568 9% Forward simplification (105,960 calls)
% 53.23/53.45 ; 9.696 18% Backward simplification (77,185 calls)
% 53.23/53.45 ; 0.001 0% Sortal reasoning (32 calls)
% 53.23/53.45 ; 0.001 0% Purity testing (1 call)
% 53.23/53.45 ; 0.493 1% Other
% 53.23/53.45 ; 52.958 Total
% 53.23/53.45 ; 52.979 Real time
% 53.23/53.45 ;
% 53.23/53.45 ; Term-hash-array has 165,418 terms in all.
% 53.23/53.45 ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 53.23/53.45 ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 53.23/53.45 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 53.23/53.45 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 53.23/53.45 ; Path-index has 157,760 entries (157,760 at peak, 165,507 added, 7,747 deleted).
% 53.23/53.45 ; Path-index has 30,776 nodes (30,776 at peak, 30,836 added, 60 deleted).
% 53.23/53.45 ; Trie-index has 157,760 entries (157,760 at peak, 165,507 added, 7,747 deleted).
% 53.23/53.45 ; Trie-index has 586,390 nodes (586,390 at peak, 609,249 added, 22,859 deleted).
% 53.23/53.45 ; Retrieved 1,299,102 generalization terms in 105,957 calls.
% 53.23/53.45 ; Retrieved 770,841 instance terms in 77,183 calls.
% 53.23/53.45 ; Retrieved 54,678,303 unifiable terms in 35,245 calls.
% 53.23/53.45 ;
% 53.23/53.45 ; The agenda of rows to process has 1013 entries:
% 53.23/53.45 ; 1 with value 14 16 with value 27 60 with value 38
% 53.23/53.45 ; 1 with value 15 18 with value 28 74 with value 39
% 53.23/53.45 ; 4 with value 17 37 with value 29 119 with value 40
% 53.23/53.45 ; 4 with value 18 37 with value 30 75 with value 41
% 53.23/53.45 ; 8 with value 19 76 with value 31 22 with value 42
% 53.23/53.45 ; 10 with value 20 74 with value 32 10 with value 43
% 53.23/53.45 ; 10 with value 21 91 with value 33 6 with value 44
% 53.23/53.45 ; 28 with value 22 43 with value 34 1 with value 45
% 53.23/53.45 ; 17 with value 23 31 with value 35 1 with value 49
% 53.23/53.45 ; 29 with value 24 27 with value 36 1 with value 50
% 53.23/53.45 ; 28 with value 25 28 with value 37 1 with value 52
% 53.23/53.45 ; 25 with value 26
% 53.23/53.45 ; The agenda of rows to give has 72966 entries:
% 53.23/53.45 ; 135 with value (4 25) 551 with value (4 44) 43 with value (4 62)
% 53.23/53.45 ; 303 with value (4 26) 221 with value (4 45) 15 with value (4 63)
% 53.23/53.45 ; 483 with value (4 27) 158 with value (4 46) 20 with value (4 64)
% 53.23/53.45 ; 803 with value (4 28) 159 with value (4 47) 36 with value (4 65)
% 53.23/53.45 ; 1048 with value (4 29) 155 with value (4 48) 5 with value (4 66)
% 53.23/53.45 ; 1329 with value (4 30) 140 with value (4 49) 13 with value (4 67)
% 53.23/53.45 ; 1726 with value (4 31) 102 with value (4 50) 15 with value (4 68)
% 53.23/53.45 ; 2596 with value (4 32) 87 with value (4 51) 6 with value (4 69)
% 53.23/53.45 ; 3660 with value (4 33) 113 with value (4 52) 9 with value (4 70)
% 53.23/53.45 ; 4432 with value (4 34) 66 with value (4 53) 9 with value (4 71)
% 53.23/53.45 ; 5561 with value (4 35) 76 with value (4 54) 9 with value (4 72)
% 53.23/53.45 ; 6530 with value (4 36) 44 with value (4 55) 5 with value (4 73)
% 53.23/53.45 ; 6776 with value (4 37) 55 with value (4 56) 7 with value (4 74)
% 53.23/53.45 ; 6570 with value (4 38) 31 with value (4 57) 13 with value (4 75)
% 53.23/53.45 ; 6912 with value (4 39) 36 with value (4 58) 2 with value (4 76)
% 53.23/53.45 ; 7712 with value (4 40) 49 with value (4 59) 7 with value (4 77)
% 53.23/53.45 ; 6964 with value (4 41) 18 with value (4 60) 6 with value (4 78)
% 53.23/53.45 ; 4877 with value (4 42) 24 with value (4 61) 1 with value (4 84)
% 53.23/53.45 ; 2243 with value (4 43)
% 53.23/53.45 Evaluation took:
% 53.23/53.45 52.984 seconds of real time
% 53.23/53.45 51.144405 seconds of user run time
% 53.23/53.45 1.820824 seconds of system run time
% 53.23/53.45 [Run times include 12.974 seconds GC run time.]
% 53.23/53.45 0 calls to %EVAL
% 53.23/53.45 0 page faults and
% 53.23/53.45 1,958,257,368 bytes consed.
% 53.23/53.45 :PROOF-FOUND
% 53.23/53.45 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-02T12:50:48
% 53.23/53.45 :PROOF-FOUND
% 53.23/53.45 *
%------------------------------------------------------------------------------