TSTP Solution File: LCL059-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL059-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n005.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 14:19:52 EDT 2022
% Result : Unsatisfiable 21.10s 21.28s
% Output : Refutation 21.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of clauses : 23 ( 22 unt; 0 nHn; 6 RR)
% Number of literals : 25 ( 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 50 ( 11 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_49,negated_conjecture,
~ is_a_theorem(implies(implies(not(a),not(b)),implies(b,a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_49) ).
cnf(8,plain,
~ is_a_theorem(implies(implies(implies(not(X),X),X),implies(implies(not(a),not(b)),implies(b,a)))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,prove_cn_49,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(320,plain,
is_a_theorem(implies(implies(X,not(Y)),implies(Y,implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,13,12]) ).
cnf(322,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(353,plain,
is_a_theorem(implies(implies(implies(X,implies(Y,Z)),U),implies(implies(Y,not(X)),U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,320,cn_1]) ).
cnf(807,plain,
~ is_a_theorem(implies(implies(not(a),not(b)),implies(not(implies(b,a)),implies(b,a)))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,8,cn_1]) ).
cnf(2070,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(3576,plain,
~ is_a_theorem(implies(implies(b,implies(not(a),X)),implies(not(implies(b,a)),implies(b,a)))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,353,807]) ).
cnf(4707,plain,
is_a_theorem(implies(implies(implies(X,X),Y),implies(Z,Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,2070,154]) ).
cnf(5115,plain,
is_a_theorem(implies(X,implies(implies(not(Y),Y),Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,4707,11]) ).
cnf(41527,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,3576,322,5115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : LCL059-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.11 % Command : run-snark %s %d
% 0.12/0.32 % Computer : n005.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Sun Jul 3 04:52:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.17/0.43 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.44 *
% 0.17/0.44 *
% 0.17/0.45 #<PACKAGE "SNARK-USER">
% 0.17/0.45 *
% 0.17/0.45 SNARK-TPTP-OPTIONS
% 0.17/0.45 *
% 0.17/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.17/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.17/0.45 (USE-FACTORING :POS)
% 0.17/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.17/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.17/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.17/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.17/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.17/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.17/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.17/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.17/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.17/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.17/0.45 *
% 0.17/0.45 "."
% 0.17/0.45 *
% 0.17/0.45 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T04:52:52
% 0.17/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-07-03T04:52:52
% 21.10/21.28
% 21.10/21.28
% 21.10/21.28 #||
% 21.10/21.28 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.10/21.28 % SZS output start Refutation
% See solution above
% 21.10/21.28 ||#
% 21.10/21.28
% 21.10/21.28 ; Summary of computation:
% 21.10/21.28 ; 65411 formulas have been input or derived (from 395 formulas).
% 21.10/21.28 ; 41527 (63%) were retained. Of these,
% 21.10/21.28 ; 1227 ( 3%) were simplified or subsumed later,
% 21.10/21.28 ; 40300 (97%) are still being kept.
% 21.10/21.28 ;
% 21.10/21.28 ; Run time in seconds excluding printing time:
% 21.10/21.28 ; 0.001 0% Read assertion file (1 call)
% 21.10/21.28 ; 0.000 0% Assert (5 calls)
% 21.10/21.28 ; 5.248 25% Process new row (59,457 calls)
% 21.10/21.28 ; 10.239 49% Resolution (788 calls)
% 21.10/21.28 ; 0.436 2% Paramodulation (394 calls)
% 21.10/21.28 ; 0.000 0% Condensing (1 call)
% 21.10/21.28 ; 0.000 0% Forward subsumption (1 call)
% 21.10/21.28 ; 0.000 0% Backward subsumption (1 call)
% 21.10/21.28 ; 2.284 11% Forward simplification (59,418 calls)
% 21.10/21.28 ; 2.373 11% Backward simplification (41,527 calls)
% 21.10/21.28 ; 0.000 0% Sortal reasoning (32 calls)
% 21.10/21.28 ; 0.000 0% Purity testing (1 call)
% 21.10/21.28 ; 0.247 1% Other
% 21.10/21.28 ; 20.828 Total
% 21.10/21.28 ; 20.833 Real time
% 21.10/21.29 ;
% 21.10/21.29 ; Term-hash-array has 90,968 terms in all.
% 21.10/21.29 ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 21.10/21.29 ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 21.10/21.29 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 21.10/21.29 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 21.10/21.29 ; Path-index has 88,231 entries (88,231 at peak, 91,041 added, 2,810 deleted).
% 21.10/21.29 ; Path-index has 25,949 nodes (25,949 at peak, 25,974 added, 25 deleted).
% 21.10/21.29 ; Trie-index has 88,231 entries (88,231 at peak, 91,041 added, 2,810 deleted).
% 21.10/21.29 ; Trie-index has 402,611 nodes (402,611 at peak, 412,299 added, 9,688 deleted).
% 21.10/21.29 ; Retrieved 645,230 generalization terms in 59,415 calls.
% 21.10/21.29 ; Retrieved 181,285 instance terms in 41,525 calls.
% 21.10/21.29 ; Retrieved 21,100,112 unifiable terms in 21,245 calls.
% 21.10/21.29 ;
% 21.10/21.29 ; The agenda of rows to process has 195 entries:
% 21.10/21.29 ; 1 with value 11 2 with value 28 24 with value 41
% 21.10/21.29 ; 1 with value 13 2 with value 29 41 with value 42
% 21.10/21.29 ; 5 with value 18 3 with value 31 29 with value 43
% 21.10/21.29 ; 1 with value 20 1 with value 33 4 with value 44
% 21.10/21.29 ; 6 with value 21 4 with value 34 2 with value 45
% 21.10/21.29 ; 5 with value 22 3 with value 35 1 with value 50
% 21.10/21.29 ; 10 with value 23 3 with value 36 1 with value 52
% 21.10/21.29 ; 2 with value 24 2 with value 37 1 with value 54
% 21.10/21.29 ; 1 with value 25 12 with value 38 1 with value 55
% 21.10/21.29 ; 3 with value 26 11 with value 39 1 with value 67
% 21.10/21.29 ; 3 with value 27 8 with value 40 1 with value 81
% 21.10/21.29 ; The agenda of rows to give has 39916 entries:
% 21.10/21.29 ; 83 with value (4 25) 1085 with value (4 43) 13 with value (4 61)
% 21.10/21.29 ; 187 with value (4 26) 293 with value (4 44) 26 with value (4 62)
% 21.10/21.29 ; 280 with value (4 27) 143 with value (4 45) 11 with value (4 63)
% 21.10/21.29 ; 467 with value (4 28) 126 with value (4 46) 13 with value (4 64)
% 21.10/21.29 ; 675 with value (4 29) 87 with value (4 47) 23 with value (4 65)
% 21.10/21.29 ; 747 with value (4 30) 115 with value (4 48) 11 with value (4 66)
% 21.10/21.29 ; 934 with value (4 31) 85 with value (4 49) 2 with value (4 67)
% 21.10/21.29 ; 1372 with value (4 32) 69 with value (4 50) 9 with value (4 68)
% 21.10/21.29 ; 1870 with value (4 33) 80 with value (4 51) 6 with value (4 69)
% 21.10/21.29 ; 2439 with value (4 34) 67 with value (4 52) 4 with value (4 70)
% 21.10/21.29 ; 2995 with value (4 35) 53 with value (4 53) 8 with value (4 71)
% 21.10/21.29 ; 3280 with value (4 36) 54 with value (4 54) 2 with value (4 72)
% 21.10/21.29 ; 3817 with value (4 37) 28 with value (4 55) 5 with value (4 73)
% 21.10/21.29 ; 3743 with value (4 38) 25 with value (4 56) 3 with value (4 74)
% 21.10/21.29 ; 3981 with value (4 39) 20 with value (4 57) 7 with value (4 75)
% 21.10/21.29 ; 4301 with value (4 40) 20 with value (4 58) 4 with value (4 77)
% 21.10/21.29 ; 3489 with value (4 41) 26 with value (4 59) 9 with value (4 78)
% 21.10/21.29 ; 2705 with value (4 42) 17 with value (4 60) 2 with value (4 83)
% 21.10/21.29 Evaluation took:
% 21.10/21.29 20.837 seconds of real time
% 21.10/21.29 19.991207 seconds of user run time
% 21.10/21.29 0.842882 seconds of system run time
% 21.10/21.29 [Run times include 4.389 seconds GC run time.]
% 21.10/21.29 0 calls to %EVAL
% 21.10/21.29 0 page faults and
% 21.10/21.29 929,586,816 bytes consed.
% 21.10/21.29 :PROOF-FOUND
% 21.10/21.29 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T04:53:13
% 21.10/21.29 :PROOF-FOUND
% 21.10/21.29 *
%------------------------------------------------------------------------------