TSTP Solution File: LCL396-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL396-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n015.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 14:22:35 EDT 2022
% Result : Unsatisfiable 10.87s 11.04s
% Output : Refutation 10.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of clauses : 25 ( 24 unt; 0 nHn; 7 RR)
% Number of literals : 27 ( 0 equ; 7 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 : 56 ( 16 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_62,negated_conjecture,
~ is_a_theorem(implies(implies(not(not(x)),y),implies(x,y))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_62) ).
cnf(11,plain,
~ is_a_theorem(implies(x,not(not(x)))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,cn_1,prove_cn_62]) ).
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(17,plain,
~ is_a_theorem(implies(implies(implies(not(X),X),X),implies(x,not(not(x))))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,11,cn_2]) ).
cnf(46,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(66,plain,
is_a_theorem(implies(X,implies(implies(not(not(X)),not(X)),Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,13,12]) ).
cnf(199,plain,
~ is_a_theorem(implies(x,implies(not(not(not(x))),not(not(x))))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,17,cn_1]) ).
cnf(430,plain,
is_a_theorem(implies(implies(X,not(Y)),implies(Y,implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,14,13]) ).
cnf(433,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(466,plain,
is_a_theorem(implies(X,implies(Y,implies(not(X),Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,430,13]) ).
cnf(467,plain,
~ is_a_theorem(implies(not(not(not(x))),not(x))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,430,199]) ).
cnf(521,plain,
is_a_theorem(implies(implies(implies(X,implies(not(Y),Z)),U),implies(Y,U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,466,cn_1]) ).
cnf(1605,plain,
is_a_theorem(implies(implies(X,implies(not(Y),Y)),implies(implies(Y,Z),implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,46,14]) ).
cnf(2542,plain,
is_a_theorem(implies(implies(X,implies(not(not(Y)),not(Y))),implies(Y,implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,433,66]) ).
cnf(13866,plain,
is_a_theorem(implies(not(X),implies(X,implies(Y,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,2542,521]) ).
cnf(14070,plain,
is_a_theorem(implies(implies(implies(X,implies(Y,Z)),U),implies(not(X),U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,13866,cn_1]) ).
cnf(20204,plain,
is_a_theorem(implies(not(X),implies(Y,implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,14070,2542]) ).
cnf(20465,plain,
is_a_theorem(implies(implies(implies(X,Y),Z),implies(not(X),Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,20204,1605]) ).
cnf(22229,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,20465,cn_2,467]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LCL396-1 : TPTP v8.1.0. Released v2.3.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n015.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 18:54:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 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 2022-07-02T18:54:59
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-07-02T18:54:59
% 10.87/11.04
% 10.87/11.04
% 10.87/11.04 #||
% 10.87/11.04 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.87/11.04 % SZS output start Refutation
% See solution above
% 10.87/11.04 ||#
% 10.87/11.04
% 10.87/11.04 ; Summary of computation:
% 10.87/11.04 ; 36808 formulas have been input or derived (from 285 formulas).
% 10.87/11.04 ; 22229 (60%) were retained. Of these,
% 10.87/11.04 ; 210 ( 1%) were simplified or subsumed later,
% 10.87/11.04 ; 22019 (99%) are still being kept.
% 10.87/11.04 ;
% 10.87/11.04 ; Run time in seconds excluding printing time:
% 10.87/11.04 ; 0.002 0% Read assertion file (1 call)
% 10.87/11.04 ; 0.000 0% Assert (5 calls)
% 10.87/11.04 ; 2.624 25% Process new row (33,210 calls)
% 10.87/11.04 ; 5.125 49% Resolution (568 calls)
% 10.87/11.04 ; 0.201 2% Paramodulation (284 calls)
% 10.87/11.04 ; 0.000 0% Condensing (1 call)
% 10.87/11.04 ; 0.000 0% Forward subsumption (1 call)
% 10.87/11.04 ; 0.000 0% Backward subsumption (1 call)
% 10.87/11.04 ; 1.282 12% Forward simplification (33,170 calls)
% 10.87/11.04 ; 1.181 11% Backward simplification (22,229 calls)
% 10.87/11.04 ; 0.000 0% Sortal reasoning (32 calls)
% 10.87/11.04 ; 0.000 0% Purity testing (1 call)
% 10.87/11.04 ; 0.147 1% Other
% 10.87/11.04 ; 10.562 Total
% 10.87/11.04 ; 10.565 Real time
% 10.87/11.04 ;
% 10.87/11.04 ; Term-hash-array has 49,721 terms in all.
% 10.87/11.04 ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 10.87/11.04 ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 10.87/11.04 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 10.87/11.04 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 10.87/11.04 ; Path-index has 49,199 entries (49,199 at peak, 49,787 added, 588 deleted).
% 10.87/11.04 ; Path-index has 17,476 nodes (17,476 at peak, 17,481 added, 5 deleted).
% 10.87/11.04 ; Trie-index has 49,199 entries (49,199 at peak, 49,787 added, 588 deleted).
% 10.87/11.04 ; Trie-index has 229,858 nodes (229,858 at peak, 231,957 added, 2,099 deleted).
% 10.87/11.04 ; Retrieved 287,401 generalization terms in 33,167 calls.
% 10.87/11.04 ; Retrieved 122,308 instance terms in 22,227 calls.
% 10.87/11.04 ; Retrieved 12,185,089 unifiable terms in 13,819 calls.
% 10.87/11.04 ;
% 10.87/11.04 ; The agenda of rows to process has 472 entries:
% 10.87/11.04 ; 1 with value 15 48 with value 27 25 with value 36
% 10.87/11.04 ; 1 with value 18 18 with value 28 36 with value 37
% 10.87/11.04 ; 13 with value 19 45 with value 29 20 with value 38
% 10.87/11.04 ; 9 with value 20 2 with value 30 25 with value 39
% 10.87/11.04 ; 5 with value 21 5 with value 31 13 with value 40
% 10.87/11.04 ; 20 with value 22 20 with value 32 13 with value 41
% 10.87/11.04 ; 16 with value 23 10 with value 33 7 with value 42
% 10.87/11.04 ; 39 with value 24 25 with value 34 4 with value 44
% 10.87/11.04 ; 25 with value 25 17 with value 35 1 with value 47
% 10.87/11.04 ; 9 with value 26
% 10.87/11.04 ; The agenda of rows to give has 21739 entries:
% 10.87/11.04 ; 6 with value (4 23) 845 with value (4 42) 16 with value (4 60)
% 10.87/11.04 ; 26 with value (4 24) 241 with value (4 43) 9 with value (4 61)
% 10.87/11.04 ; 95 with value (4 25) 88 with value (4 44) 23 with value (4 62)
% 10.87/11.04 ; 146 with value (4 26) 38 with value (4 45) 1 with value (4 63)
% 10.87/11.04 ; 251 with value (4 27) 44 with value (4 46) 13 with value (4 64)
% 10.87/11.04 ; 366 with value (4 28) 43 with value (4 47) 15 with value (4 65)
% 10.87/11.04 ; 475 with value (4 29) 40 with value (4 48) 5 with value (4 66)
% 10.87/11.04 ; 561 with value (4 30) 47 with value (4 49) 13 with value (4 67)
% 10.87/11.04 ; 638 with value (4 31) 20 with value (4 50) 5 with value (4 68)
% 10.87/11.04 ; 918 with value (4 32) 29 with value (4 51) 3 with value (4 69)
% 10.87/11.04 ; 1126 with value (4 33) 30 with value (4 52) 4 with value (4 70)
% 10.87/11.04 ; 1445 with value (4 34) 21 with value (4 53) 8 with value (4 71)
% 10.87/11.04 ; 1710 with value (4 35) 17 with value (4 54) 1 with value (4 72)
% 10.87/11.04 ; 1830 with value (4 36) 19 with value (4 55) 3 with value (4 73)
% 10.87/11.04 ; 2052 with value (4 37) 21 with value (4 56) 8 with value (4 74)
% 10.87/11.04 ; 2305 with value (4 38) 11 with value (4 57) 5 with value (4 77)
% 10.87/11.04 ; 2382 with value (4 39) 19 with value (4 58) 3 with value (4 80)
% 10.87/11.04 ; 2114 with value (4 40) 9 with value (4 59) 2 with value (4 84)
% 10.87/11.04 ; 1574 with value (4 41)
% 10.87/11.04 Evaluation took:
% 10.87/11.04 10.568 seconds of real time
% 10.87/11.04 10.089065 seconds of user run time
% 10.87/11.04 0.478123 seconds of system run time
% 10.87/11.04 [Run times include 1.916 seconds GC run time.]
% 10.87/11.04 0 calls to %EVAL
% 10.87/11.04 0 page faults and
% 10.87/11.04 507,129,600 bytes consed.
% 10.87/11.04 :PROOF-FOUND
% 10.87/11.04 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-02T18:55:10
% 10.87/11.04 :PROOF-FOUND
% 10.87/11.04 *
%------------------------------------------------------------------------------