TSTP Solution File: LCL095-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL095-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n007.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 14:20:09 EDT 2022
% Result : Unsatisfiable 13.04s 13.21s
% Output : Refutation 13.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 3
% Syntax : Number of clauses : 34 ( 33 unt; 0 nHn; 5 RR)
% Number of literals : 36 ( 0 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 143 ( 76 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(ic_JLukasiewicz_5,axiom,
is_a_theorem(implies(implies(implies(X,Y),implies(Z,U)),implies(implies(U,X),implies(V,implies(Z,X))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic_JLukasiewicz_5) ).
cnf(prove_ic_5,negated_conjecture,
~ is_a_theorem(implies(a,implies(implies(a,b),b))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ic_5) ).
cnf(4,plain,
is_a_theorem(implies(implies(implies(X,implies(Y,Z)),implies(Z,U)),implies(V,implies(implies(W,Z),implies(Z,U))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,ic_JLukasiewicz_5,ic_JLukasiewicz_5]) ).
cnf(5,plain,
~ is_a_theorem(implies(implies(implies(implies(X,Y),implies(Z,U)),implies(implies(U,X),implies(V,implies(Z,X)))),implies(a,implies(implies(a,b),b)))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,ic_JLukasiewicz_5,prove_ic_5]) ).
cnf(6,plain,
is_a_theorem(implies(X,implies(implies(Y,Z),implies(Z,implies(implies(U,V),implies(V,Z)))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,4,4]) ).
cnf(9,plain,
is_a_theorem(implies(implies(X,Y),implies(Y,implies(implies(Z,U),implies(U,Y))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,6,ic_JLukasiewicz_5]) ).
cnf(13,plain,
is_a_theorem(implies(implies(implies(implies(X,Y),implies(Y,Z)),U),implies(V,implies(Z,U)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,9,ic_JLukasiewicz_5]) ).
cnf(19,plain,
is_a_theorem(implies(X,implies(Y,implies(implies(Y,Z),implies(U,implies(V,Z)))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,13,ic_JLukasiewicz_5]) ).
cnf(20,plain,
is_a_theorem(implies(X,implies(implies(Y,Z),implies(Z,implies(U,implies(V,Z)))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,13,4]) ).
cnf(30,plain,
is_a_theorem(implies(X,implies(implies(X,Y),implies(Z,implies(U,Y))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,19,13]) ).
cnf(32,plain,
is_a_theorem(implies(implies(implies(implies(X,Y),implies(Z,implies(U,Y))),V),implies(W,implies(X,V)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,19,ic_JLukasiewicz_5]) ).
cnf(35,plain,
is_a_theorem(implies(implies(implies(X,implies(Y,Z)),U),implies(V,implies(implies(implies(U,W),Z),U)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,30,ic_JLukasiewicz_5]) ).
cnf(45,plain,
is_a_theorem(implies(implies(X,Y),implies(Y,implies(Z,implies(U,Y))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,20,13]) ).
cnf(51,plain,
is_a_theorem(implies(implies(implies(X,implies(Y,Z)),U),implies(V,implies(Z,U)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,45,ic_JLukasiewicz_5]) ).
cnf(87,plain,
is_a_theorem(implies(implies(implies(X,Y),implies(Z,implies(U,X))),implies(V,implies(W,implies(Z,implies(U,X)))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,51,ic_JLukasiewicz_5]) ).
cnf(228,plain,
is_a_theorem(implies(X,implies(implies(implies(implies(Y,implies(Z,implies(U,V))),W),V),implies(Y,implies(Z,implies(U,V)))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,35,32]) ).
cnf(405,plain,
~ is_a_theorem(implies(implies(X,implies(implies(X,Y),implies(Z,implies(U,Y)))),implies(implies(implies(implies(V,W),implies(X1,Y1)),implies(implies(Y1,V),implies(Z1,implies(X1,V)))),implies(a,implies(implies(a,b),b))))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,5,30]) ).
cnf(910,plain,
is_a_theorem(implies(X,implies(Y,implies(implies(Z,U),implies(V,implies(U,U)))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,87,ic_JLukasiewicz_5]) ).
cnf(1070,plain,
is_a_theorem(implies(X,implies(implies(Y,Z),implies(U,implies(Z,Z))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,910,32]) ).
cnf(1099,plain,
is_a_theorem(implies(implies(X,Y),implies(Z,implies(Y,Y)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,1070,32]) ).
cnf(1122,plain,
is_a_theorem(implies(X,implies(Y,implies(Z,implies(U,U))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,1099,87]) ).
cnf(1145,plain,
is_a_theorem(implies(X,implies(Y,implies(Z,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,1122,32]) ).
cnf(1174,plain,
is_a_theorem(implies(X,implies(Y,Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,1145,32]) ).
cnf(1196,plain,
is_a_theorem(implies(X,X)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,1174,1174]) ).
cnf(1198,plain,
is_a_theorem(implies(implies(X,Y),implies(Z,implies(X,Y)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,1174,ic_JLukasiewicz_5]) ).
cnf(1388,plain,
is_a_theorem(implies(implies(implies(X,Y),X),implies(Z,implies(U,X)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,1198,ic_JLukasiewicz_5]) ).
cnf(2078,plain,
is_a_theorem(implies(X,implies(Y,implies(implies(Z,U),implies(Z,implies(V,U)))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,1388,32]) ).
cnf(12445,plain,
is_a_theorem(implies(X,implies(implies(Y,Z),implies(Y,implies(U,Z))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,2078,1196]) ).
cnf(12591,plain,
is_a_theorem(implies(implies(X,Y),implies(X,implies(Z,Y)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,12445,1196]) ).
cnf(16145,plain,
is_a_theorem(implies(implies(implies(implies(X,implies(Y,implies(Z,U))),V),U),implies(X,implies(Y,implies(Z,U))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,228,32]) ).
cnf(16319,plain,
is_a_theorem(implies(implies(X,implies(Y,implies(X,Z))),implies(U,implies(V,implies(Y,implies(X,Z)))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,16145,32]) ).
cnf(16518,plain,
is_a_theorem(implies(X,implies(Y,implies(Z,implies(implies(Z,U),U))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,16319,12591]) ).
cnf(16519,plain,
$false,
inference('REWRITE',[status(thm)],[405,16518]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL095-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n007.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 12:19:55 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 2022-07-02T12:19:55
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-07-02T12:19:55
% 13.04/13.21
% 13.04/13.21
% 13.04/13.21 #||
% 13.04/13.21 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.04/13.21 % SZS output start Refutation
% See solution above
% 13.05/13.21 ||#
% 13.05/13.21
% 13.05/13.21 ; Summary of computation:
% 13.05/13.21 ; 37966 formulas have been input or derived (from 280 formulas).
% 13.05/13.21 ; 16519 (44%) were retained. Of these,
% 13.05/13.21 ; 1895 (11%) were simplified or subsumed later,
% 13.05/13.21 ; 14624 (89%) are still being kept.
% 13.05/13.21 ;
% 13.05/13.21 ; Run time in seconds excluding printing time:
% 13.05/13.21 ; 0.001 0% Read assertion file (1 call)
% 13.05/13.21 ; 0.000 0% Assert (3 calls)
% 13.05/13.21 ; 2.282 18% Process new row (30,923 calls)
% 13.05/13.21 ; 2.621 21% Resolution (558 calls)
% 13.05/13.21 ; 0.385 3% Paramodulation (279 calls)
% 13.05/13.21 ; 0.000 0% Condensing (1 call)
% 13.05/13.21 ; 0.001 0% Forward subsumption (1 call)
% 13.05/13.21 ; 0.000 0% Backward subsumption (1 call)
% 13.05/13.21 ; 3.274 26% Forward simplification (30,891 calls)
% 13.05/13.21 ; 4.027 32% Backward simplification (16,519 calls)
% 13.05/13.21 ; 0.000 0% Sortal reasoning (32 calls)
% 13.05/13.21 ; 0.000 0% Purity testing (1 call)
% 13.05/13.21 ; 0.141 1% Other
% 13.05/13.21 ; 12.732 Total
% 13.05/13.21 ; 12.735 Real time
% 13.05/13.21 ;
% 13.05/13.21 ; Term-hash-array has 38,313 terms in all.
% 13.05/13.21 ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 13.05/13.21 ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 13.05/13.21 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 13.05/13.21 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 13.05/13.21 ; Path-index has 33,973 entries (36,865 at peak, 38,342 added, 4,369 deleted).
% 13.05/13.21 ; Path-index has 3,727 nodes (3,727 at peak, 3,791 added, 64 deleted).
% 13.05/13.21 ; Trie-index has 33,973 entries (36,865 at peak, 38,342 added, 4,369 deleted).
% 13.05/13.21 ; Trie-index has 66,947 nodes (73,903 at peak, 80,308 added, 13,361 deleted).
% 13.05/13.21 ; Retrieved 2,114,302 generalization terms in 30,888 calls.
% 13.05/13.21 ; Retrieved 737,502 instance terms in 16,517 calls.
% 13.05/13.21 ; Retrieved 6,311,445 unifiable terms in 14,985 calls.
% 13.05/13.21 ;
% 13.05/13.21 ; The agenda of rows to process has 306 entries:
% 13.05/13.21 ; 30 with value 38 5 with value 46 17 with value 54
% 13.05/13.21 ; 20 with value 39 6 with value 47 24 with value 55
% 13.05/13.21 ; 10 with value 40 7 with value 48 27 with value 56
% 13.05/13.21 ; 18 with value 41 6 with value 49 30 with value 57
% 13.05/13.21 ; 18 with value 42 8 with value 50 21 with value 58
% 13.05/13.21 ; 6 with value 43 10 with value 51 4 with value 59
% 13.05/13.21 ; 12 with value 44 9 with value 52 1 with value 62
% 13.05/13.21 ; 6 with value 45 10 with value 53 1 with value 64
% 13.05/13.21 ; The agenda of rows to give has 14366 entries:
% 13.05/13.21 ; 1 with value (4 34) 532 with value (4 47) 720 with value (4 59)
% 13.05/13.21 ; 1 with value (4 35) 581 with value (4 48) 503 with value (4 60)
% 13.05/13.21 ; 1 with value (4 36) 680 with value (4 49) 381 with value (4 61)
% 13.05/13.21 ; 1 with value (4 37) 711 with value (4 50) 240 with value (4 62)
% 13.05/13.21 ; 73 with value (4 38) 927 with value (4 51) 179 with value (4 63)
% 13.05/13.21 ; 89 with value (4 39) 952 with value (4 52) 93 with value (4 64)
% 13.05/13.21 ; 95 with value (4 40) 1036 with value (4 53) 28 with value (4 65)
% 13.05/13.21 ; 159 with value (4 41) 1017 with value (4 54) 25 with value (4 66)
% 13.05/13.21 ; 162 with value (4 42) 1093 with value (4 55) 28 with value (4 67)
% 13.05/13.21 ; 233 with value (4 43) 1005 with value (4 56) 19 with value (4 68)
% 13.05/13.21 ; 258 with value (4 44) 927 with value (4 57) 2 with value (4 69)
% 13.05/13.21 ; 375 with value (4 45) 883 with value (4 58) 1 with value (4 70)
% 13.05/13.21 ; 355 with value (4 46)
% 13.05/13.21 Evaluation took:
% 13.05/13.21 12.737 seconds of real time
% 13.05/13.21 12.347381 seconds of user run time
% 13.05/13.21 0.389967 seconds of system run time
% 13.05/13.21 [Run times include 1.763 seconds GC run time.]
% 13.05/13.21 0 calls to %EVAL
% 13.05/13.21 0 page faults and
% 13.05/13.21 851,462,392 bytes consed.
% 13.05/13.21 :PROOF-FOUND
% 13.05/13.21 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-02T12:20:08
% 13.05/13.21 :PROOF-FOUND
% 13.05/13.21 *
%------------------------------------------------------------------------------