TSTP Solution File: LCL057-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL057-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 14:19:51 EDT 2022
% Result : Unsatisfiable 6.92s 7.19s
% Output : Refutation 6.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of clauses : 24 ( 23 unt; 0 nHn; 6 RR)
% Number of literals : 26 ( 0 equ; 6 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 : 3 ( 3 usr; 1 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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cn_1) ).
cnf(cn_2,axiom,
is_a_theorem(implies(implies(not(X),X),X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_2) ).
cnf(cn_3,axiom,
is_a_theorem(implies(X,implies(not(X),Y))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_3) ).
cnf(prove_cn_40,negated_conjecture,
~ is_a_theorem(implies(a,not(not(a)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_40) ).
cnf(8,plain,
~ is_a_theorem(implies(implies(implies(not(X),X),X),implies(a,not(not(a))))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,cn_2,prove_cn_40]) ).
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(160,plain,
~ is_a_theorem(implies(a,implies(not(not(not(a))),not(not(a))))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,8,cn_1]) ).
cnf(410,plain,
is_a_theorem(implies(implies(X,not(Y)),implies(Y,implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,13,12]) ).
cnf(412,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(444,plain,
~ is_a_theorem(implies(not(not(not(a))),not(a))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,410,160]) ).
cnf(445,plain,
is_a_theorem(implies(X,implies(Y,implies(not(X),Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,410,12]) ).
cnf(536,plain,
is_a_theorem(implies(implies(implies(X,implies(not(Y),Z)),U),implies(Y,U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,445,cn_1]) ).
cnf(1535,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(2442,plain,
is_a_theorem(implies(implies(X,implies(not(not(Y)),not(Y))),implies(Y,implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,412,57]) ).
cnf(9984,plain,
is_a_theorem(implies(not(X),implies(X,implies(Y,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,2442,536]) ).
cnf(10129,plain,
is_a_theorem(implies(implies(implies(X,implies(Y,Z)),U),implies(not(X),U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,9984,cn_1]) ).
cnf(14168,plain,
is_a_theorem(implies(not(X),implies(Y,implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,10129,2442]) ).
cnf(14362,plain,
is_a_theorem(implies(implies(implies(X,Y),Z),implies(not(X),Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,14168,1535]) ).
cnf(15519,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,14362,cn_2,444]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LCL057-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n020.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 : Mon Jul 4 11:11:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/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 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-04T11:12:00
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-07-04T11:12:00
% 6.92/7.19
% 6.92/7.19
% 6.92/7.19 #||
% 6.92/7.19 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.92/7.19 % SZS output start Refutation
% See solution above
% 6.92/7.19 ||#
% 6.92/7.19
% 6.92/7.19 ; Summary of computation:
% 6.92/7.19 ; 28323 formulas have been input or derived (from 225 formulas).
% 6.92/7.19 ; 15519 (55%) were retained. Of these,
% 6.92/7.19 ; 209 ( 1%) were simplified or subsumed later,
% 6.92/7.19 ; 15310 (99%) are still being kept.
% 6.92/7.19 ;
% 6.92/7.19 ; Run time in seconds excluding printing time:
% 6.92/7.19 ; 0.001 0% Read assertion file (1 call)
% 6.92/7.19 ; 0.000 0% Assert (5 calls)
% 6.92/7.19 ; 1.725 26% Process new row (24,939 calls)
% 6.92/7.19 ; 3.446 51% Resolution (448 calls)
% 6.92/7.19 ; 0.148 2% Paramodulation (224 calls)
% 6.92/7.19 ; 0.000 0% Condensing (1 call)
% 6.92/7.19 ; 0.000 0% Forward subsumption (1 call)
% 6.92/7.19 ; 0.000 0% Backward subsumption (1 call)
% 6.92/7.19 ; 0.605 9% Forward simplification (24,898 calls)
% 6.92/7.19 ; 0.669 10% Backward simplification (15,519 calls)
% 6.92/7.19 ; 0.000 0% Sortal reasoning (32 calls)
% 6.92/7.19 ; 0.000 0% Purity testing (1 call)
% 6.92/7.19 ; 0.114 2% Other
% 6.92/7.19 ; 6.708 Total
% 6.92/7.19 ; 6.713 Real time
% 6.92/7.19 ;
% 6.92/7.19 ; Term-hash-array has 35,871 terms in all.
% 6.92/7.19 ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 6.92/7.19 ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 6.92/7.19 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 6.92/7.19 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 6.92/7.19 ; Path-index has 35,350 entries (35,350 at peak, 35,936 added, 586 deleted).
% 6.92/7.19 ; Path-index has 16,415 nodes (16,415 at peak, 16,420 added, 5 deleted).
% 6.92/7.19 ; Trie-index has 35,350 entries (35,350 at peak, 35,936 added, 586 deleted).
% 6.92/7.19 ; Trie-index has 184,812 nodes (184,812 at peak, 186,908 added, 2,096 deleted).
% 6.92/7.19 ; Retrieved 190,502 generalization terms in 24,895 calls.
% 6.92/7.19 ; Retrieved 81,474 instance terms in 15,517 calls.
% 6.92/7.19 ; Retrieved 8,235,438 unifiable terms in 11,392 calls.
% 6.92/7.19 ;
% 6.92/7.19 ; The agenda of rows to process has 403 entries:
% 6.92/7.19 ; 1 with value 15 48 with value 27 11 with value 36
% 6.92/7.19 ; 1 with value 18 17 with value 28 24 with value 37
% 6.92/7.19 ; 12 with value 19 45 with value 29 18 with value 38
% 6.92/7.19 ; 8 with value 20 2 with value 30 22 with value 39
% 6.92/7.19 ; 5 with value 21 3 with value 31 17 with value 40
% 6.92/7.19 ; 20 with value 22 16 with value 32 3 with value 41
% 6.92/7.19 ; 15 with value 23 7 with value 33 8 with value 42
% 6.92/7.19 ; 35 with value 24 21 with value 34 3 with value 44
% 6.92/7.19 ; 22 with value 25 9 with value 35 1 with value 47
% 6.92/7.19 ; 9 with value 26
% 6.92/7.19 ; The agenda of rows to give has 15090 entries:
% 6.92/7.19 ; 2 with value (4 23) 895 with value (4 41) 8 with value (4 59)
% 6.92/7.19 ; 21 with value (4 24) 542 with value (4 42) 15 with value (4 60)
% 6.92/7.19 ; 83 with value (4 25) 111 with value (4 43) 5 with value (4 61)
% 6.92/7.19 ; 100 with value (4 26) 74 with value (4 44) 13 with value (4 62)
% 6.92/7.19 ; 190 with value (4 27) 33 with value (4 45) 2 with value (4 63)
% 6.92/7.19 ; 276 with value (4 28) 43 with value (4 46) 7 with value (4 64)
% 6.92/7.19 ; 377 with value (4 29) 38 with value (4 47) 14 with value (4 65)
% 6.92/7.19 ; 426 with value (4 30) 33 with value (4 48) 5 with value (4 66)
% 6.92/7.19 ; 468 with value (4 31) 37 with value (4 49) 10 with value (4 67)
% 6.92/7.19 ; 664 with value (4 32) 16 with value (4 50) 4 with value (4 68)
% 6.92/7.19 ; 848 with value (4 33) 20 with value (4 51) 2 with value (4 69)
% 6.92/7.19 ; 1073 with value (4 34) 25 with value (4 52) 3 with value (4 70)
% 6.92/7.19 ; 1172 with value (4 35) 17 with value (4 53) 8 with value (4 71)
% 6.92/7.19 ; 1257 with value (4 36) 10 with value (4 54) 2 with value (4 73)
% 6.92/7.19 ; 1468 with value (4 37) 9 with value (4 55) 6 with value (4 74)
% 6.92/7.19 ; 1683 with value (4 38) 17 with value (4 56) 5 with value (4 77)
% 6.92/7.19 ; 1551 with value (4 39) 8 with value (4 57) 3 with value (4 80)
% 6.92/7.19 ; 1380 with value (4 40) 10 with value (4 58) 1 with value (4 87)
% 6.92/7.19 Evaluation took:
% 6.92/7.19 6.715 seconds of real time
% 6.92/7.19 6.406613 seconds of user run time
% 6.92/7.19 0.305047 seconds of system run time
% 6.92/7.19 [Run times include 1.063 seconds GC run time.]
% 6.92/7.19 0 calls to %EVAL
% 6.92/7.19 0 page faults and
% 6.92/7.19 359,930,656 bytes consed.
% 6.92/7.19 :PROOF-FOUND
% 6.92/7.19 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-04T11:12:06
% 6.92/7.19 :PROOF-FOUND
% 6.92/7.19 *
%------------------------------------------------------------------------------