TSTP Solution File: LCL399-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL399-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n013.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 14:22:36 EDT 2022
% Result : Unsatisfiable 1.52s 1.76s
% Output : Refutation 1.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of clauses : 18 ( 17 unt; 0 nHn; 4 RR)
% Number of literals : 20 ( 0 equ; 4 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 : 41 ( 8 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_65,negated_conjecture,
~ is_a_theorem(implies(implies(not(x),not(implies(y,y))),x)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_65) ).
cnf(8,plain,
~ is_a_theorem(implies(implies(implies(not(X),X),X),implies(implies(not(x),not(implies(y,y))),x))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,prove_cn_65,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(53,plain,
is_a_theorem(implies(X,X)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,12,cn_2]) ).
cnf(64,plain,
is_a_theorem(implies(not(implies(X,X)),Y)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,53,cn_3]) ).
cnf(69,plain,
is_a_theorem(implies(implies(X,Y),implies(not(implies(Z,Z)),Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,64,cn_1]) ).
cnf(154,plain,
is_a_theorem(implies(X,implies(not(implies(Y,Y)),Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,69,12]) ).
cnf(264,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(754,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(1305,plain,
is_a_theorem(implies(implies(X,not(implies(Y,Y))),implies(Z,implies(X,U)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,264,154]) ).
cnf(4523,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[condensed_detachment,8,754]),1305]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : LCL399-1 : TPTP v8.1.0. Released v2.3.0.
% 0.13/0.14 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jul 4 03:41:14 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T03:41:14
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-07-04T03:41:14
% 1.52/1.76
% 1.52/1.76
% 1.52/1.76 #||
% 1.52/1.76 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.52/1.76 % SZS output start Refutation
% See solution above
% 1.52/1.76 ||#
% 1.52/1.76
% 1.52/1.76 ; Summary of computation:
% 1.52/1.76 ; 9568 formulas have been input or derived (from 120 formulas).
% 1.52/1.76 ; 4523 (47%) were retained. Of these,
% 1.52/1.76 ; 54 ( 1%) were simplified or subsumed later,
% 1.52/1.76 ; 4469 (99%) are still being kept.
% 1.52/1.76 ;
% 1.52/1.76 ; Run time in seconds excluding printing time:
% 1.52/1.76 ; 0.001 0% Read assertion file (1 call)
% 1.52/1.76 ; 0.000 0% Assert (5 calls)
% 1.52/1.76 ; 0.443 35% Process new row (8,191 calls)
% 1.52/1.76 ; 0.404 32% Resolution (238 calls)
% 1.52/1.76 ; 0.024 2% Paramodulation (119 calls)
% 1.52/1.76 ; 0.000 0% Condensing (1 call)
% 1.52/1.76 ; 0.000 0% Forward subsumption (1 call)
% 1.52/1.76 ; 0.000 0% Backward subsumption (1 call)
% 1.52/1.76 ; 0.206 16% Forward simplification (8,157 calls)
% 1.52/1.76 ; 0.146 11% Backward simplification (4,523 calls)
% 1.52/1.76 ; 0.002 0% Sortal reasoning (32 calls)
% 1.52/1.76 ; 0.000 0% Purity testing (1 call)
% 1.52/1.76 ; 0.052 4% Other
% 1.52/1.76 ; 1.278 Total
% 1.52/1.76 ; 1.280 Real time
% 1.52/1.76 ;
% 1.52/1.76 ; Term-hash-array has 11,233 terms in all.
% 1.52/1.76 ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 1.52/1.76 ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 1.52/1.76 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 1.52/1.76 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 1.52/1.76 ; Path-index has 11,079 entries (11,079 at peak, 11,278 added, 199 deleted).
% 1.52/1.76 ; Path-index has 9,583 nodes (9,583 at peak, 9,583 added, 0 deleted).
% 1.52/1.76 ; Trie-index has 11,079 entries (11,079 at peak, 11,278 added, 199 deleted).
% 1.52/1.76 ; Trie-index has 63,170 nodes (63,170 at peak, 63,864 added, 694 deleted).
% 1.52/1.76 ; Retrieved 43,790 generalization terms in 8,155 calls.
% 1.52/1.76 ; Retrieved 19,980 instance terms in 4,521 calls.
% 1.52/1.76 ; Retrieved 812,048 unifiable terms in 4,905 calls.
% 1.52/1.76 ;
% 1.52/1.76 ; The agenda of rows to process has 80 entries:
% 1.52/1.76 ; 2 with value 29 5 with value 37 11 with value 43
% 1.52/1.76 ; 1 with value 30 5 with value 38 1 with value 44
% 1.52/1.76 ; 2 with value 31 2 with value 39 1 with value 45
% 1.52/1.76 ; 1 with value 32 4 with value 40 1 with value 52
% 1.52/1.76 ; 3 with value 33 11 with value 41 1 with value 71
% 1.52/1.76 ; 2 with value 35 24 with value 42 1 with value 84
% 1.52/1.76 ; 2 with value 36
% 1.52/1.76 ; The agenda of rows to give has 4351 entries:
% 1.52/1.76 ; 42 with value (4 24) 264 with value (4 40) 6 with value (4 55)
% 1.52/1.76 ; 40 with value (4 25) 86 with value (4 41) 11 with value (4 56)
% 1.52/1.76 ; 51 with value (4 26) 50 with value (4 42) 1 with value (4 57)
% 1.52/1.76 ; 95 with value (4 27) 13 with value (4 43) 3 with value (4 58)
% 1.52/1.76 ; 141 with value (4 28) 10 with value (4 44) 1 with value (4 59)
% 1.52/1.76 ; 198 with value (4 29) 9 with value (4 45) 3 with value (4 60)
% 1.52/1.76 ; 172 with value (4 30) 18 with value (4 46) 2 with value (4 61)
% 1.52/1.76 ; 151 with value (4 31) 12 with value (4 47) 6 with value (4 62)
% 1.52/1.76 ; 245 with value (4 32) 8 with value (4 48) 3 with value (4 64)
% 1.52/1.76 ; 336 with value (4 33) 12 with value (4 49) 5 with value (4 65)
% 1.52/1.76 ; 382 with value (4 34) 2 with value (4 50) 3 with value (4 66)
% 1.52/1.76 ; 345 with value (4 35) 1 with value (4 51) 2 with value (4 67)
% 1.52/1.76 ; 320 with value (4 36) 5 with value (4 52) 3 with value (4 69)
% 1.52/1.76 ; 418 with value (4 37) 5 with value (4 53) 1 with value (4 72)
% 1.52/1.76 ; 490 with value (4 38) 2 with value (4 54) 2 with value (4 73)
% 1.52/1.76 ; 376 with value (4 39)
% 1.52/1.76 Evaluation took:
% 1.52/1.76 1.281 seconds of real time
% 1.52/1.76 1.199769 seconds of user run time
% 1.52/1.76 0.0811 seconds of system run time
% 1.52/1.76 [Run times include 0.146 seconds GC run time.]
% 1.52/1.76 0 calls to %EVAL
% 1.52/1.76 0 page faults and
% 1.52/1.76 86,374,904 bytes consed.
% 1.52/1.76 :PROOF-FOUND
% 1.52/1.76 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T03:41:16
% 1.52/1.76 :PROOF-FOUND
% 1.52/1.76 *
%------------------------------------------------------------------------------