TSTP Solution File: LCL056-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL056-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 14:19:50 EDT 2022
% Result : Unsatisfiable 11.49s 11.69s
% Output : Refutation 11.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of clauses : 22 ( 21 unt; 0 nHn; 5 RR)
% Number of literals : 24 ( 0 equ; 5 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 : 53 ( 15 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_39,negated_conjecture,
~ is_a_theorem(implies(not(not(a)),a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_39) ).
cnf(9,plain,
~ is_a_theorem(implies(implies(implies(not(X),X),X),implies(not(not(a)),a))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,cn_2,prove_cn_39]) ).
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(53,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(74,plain,
is_a_theorem(implies(X,implies(implies(not(not(X)),not(X)),Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,13,12]) ).
cnf(814,plain,
is_a_theorem(implies(implies(X,not(Y)),implies(Y,implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,14,13]) ).
cnf(815,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(873,plain,
is_a_theorem(implies(X,implies(Y,implies(not(X),Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,814,13]) ).
cnf(932,plain,
is_a_theorem(implies(implies(implies(X,implies(not(Y),Z)),U),implies(Y,U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,873,cn_1]) ).
cnf(2296,plain,
is_a_theorem(implies(implies(X,implies(not(Y),Y)),implies(implies(Y,Z),implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,53,14]) ).
cnf(4053,plain,
is_a_theorem(implies(implies(X,implies(not(not(Y)),not(Y))),implies(Y,implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,815,74]) ).
cnf(5586,plain,
~ is_a_theorem(implies(not(not(a)),implies(not(implies(not(a),a)),implies(not(a),a)))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,2296,9]) ).
cnf(14309,plain,
is_a_theorem(implies(not(X),implies(X,implies(Y,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,4053,932]) ).
cnf(14522,plain,
is_a_theorem(implies(implies(implies(X,implies(Y,Z)),U),implies(not(X),U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,14309,cn_1]) ).
cnf(20890,plain,
is_a_theorem(implies(not(X),implies(Y,implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,14522,4053]) ).
cnf(20891,plain,
$false,
inference('REWRITE',[status(thm)],[5586,20890]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : LCL056-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.14 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n021.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 : Sat Jul 2 11:43:15 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.48 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.49 *
% 0.20/0.49 *
% 0.20/0.49 #<PACKAGE "SNARK-USER">
% 0.20/0.49 *
% 0.20/0.49 SNARK-TPTP-OPTIONS
% 0.20/0.49 *
% 0.20/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49 (USE-FACTORING :POS)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49 *
% 0.20/0.49 "."
% 0.20/0.49 *
% 0.20/0.49 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-02T11:43:15
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-07-02T11:43:15
% 11.49/11.69
% 11.49/11.69
% 11.49/11.69 #||
% 11.49/11.69 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.49/11.69 % SZS output start Refutation
% See solution above
% 11.49/11.69 ||#
% 11.49/11.69
% 11.49/11.69 ; Summary of computation:
% 11.49/11.69 ; 35442 formulas have been input or derived (from 282 formulas).
% 11.49/11.69 ; 20891 (59%) were retained. Of these,
% 11.49/11.69 ; 182 ( 1%) were simplified or subsumed later,
% 11.49/11.69 ; 20709 (99%) are still being kept.
% 11.49/11.69 ;
% 11.49/11.69 ; Run time in seconds excluding printing time:
% 11.49/11.69 ; 0.002 0% Read assertion file (1 call)
% 11.49/11.69 ; 0.000 0% Assert (5 calls)
% 11.49/11.69 ; 2.887 26% Process new row (31,616 calls)
% 11.49/11.69 ; 5.773 52% Resolution (562 calls)
% 11.49/11.69 ; 0.279 2% Paramodulation (281 calls)
% 11.49/11.69 ; 0.000 0% Condensing (1 call)
% 11.49/11.69 ; 0.000 0% Forward subsumption (1 call)
% 11.49/11.69 ; 0.000 0% Backward subsumption (1 call)
% 11.49/11.69 ; 0.877 8% Forward simplification (31,320 calls)
% 11.49/11.69 ; 1.218 11% Backward simplification (20,891 calls)
% 11.49/11.69 ; 0.000 0% Sortal reasoning (32 calls)
% 11.49/11.69 ; 0.000 0% Purity testing (1 call)
% 11.49/11.69 ; 0.159 1% Other
% 11.49/11.69 ; 11.195 Total
% 11.49/11.69 ; 11.198 Real time
% 11.49/11.69 ;
% 11.49/11.69 ; Term-hash-array has 47,108 terms in all.
% 11.49/11.69 ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 11.49/11.69 ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 11.49/11.69 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 11.49/11.69 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 11.49/11.69 ; Path-index has 46,655 entries (46,656 at peak, 47,172 added, 517 deleted).
% 11.49/11.69 ; Path-index has 16,375 nodes (16,375 at peak, 16,375 added, 0 deleted).
% 11.49/11.69 ; Trie-index has 46,655 entries (46,656 at peak, 47,172 added, 517 deleted).
% 11.49/11.69 ; Trie-index has 222,751 nodes (222,757 at peak, 224,204 added, 1,453 deleted).
% 11.49/11.69 ; Retrieved 273,905 generalization terms in 31,317 calls.
% 11.49/11.69 ; Retrieved 135,374 instance terms in 20,889 calls.
% 11.49/11.69 ; Retrieved 12,817,456 unifiable terms in 13,064 calls.
% 11.49/11.69 ;
% 11.49/11.69 ; The agenda of rows to process has 445 entries:
% 11.49/11.69 ; 4 with value 20 28 with value 29 25 with value 38
% 11.49/11.69 ; 7 with value 21 23 with value 30 52 with value 39
% 11.49/11.69 ; 24 with value 22 8 with value 31 25 with value 40
% 11.49/11.69 ; 18 with value 23 3 with value 32 19 with value 41
% 11.49/11.69 ; 7 with value 24 18 with value 33 9 with value 42
% 11.49/11.69 ; 20 with value 25 9 with value 34 1 with value 44
% 11.49/11.69 ; 27 with value 26 25 with value 35 1 with value 47
% 11.49/11.69 ; 26 with value 27 15 with value 36 1 with value 50
% 11.49/11.69 ; 30 with value 28 20 with value 37
% 11.49/11.69 ; The agenda of rows to give has 20433 entries:
% 11.49/11.69 ; 1 with value (4 19) 1548 with value (4 41) 20 with value (4 60)
% 11.49/11.69 ; 1 with value (4 20) 816 with value (4 42) 12 with value (4 61)
% 11.49/11.69 ; 8 with value (4 24) 172 with value (4 43) 16 with value (4 62)
% 11.49/11.69 ; 77 with value (4 25) 72 with value (4 44) 6 with value (4 63)
% 11.49/11.69 ; 102 with value (4 26) 46 with value (4 45) 6 with value (4 64)
% 11.49/11.69 ; 220 with value (4 27) 47 with value (4 46) 22 with value (4 65)
% 11.49/11.69 ; 339 with value (4 28) 30 with value (4 47) 7 with value (4 66)
% 11.49/11.69 ; 407 with value (4 29) 28 with value (4 48) 17 with value (4 67)
% 11.49/11.69 ; 462 with value (4 30) 39 with value (4 49) 17 with value (4 68)
% 11.49/11.69 ; 507 with value (4 31) 13 with value (4 50) 3 with value (4 69)
% 11.49/11.69 ; 829 with value (4 32) 17 with value (4 51) 4 with value (4 70)
% 11.49/11.69 ; 1066 with value (4 33) 24 with value (4 52) 11 with value (4 71)
% 11.49/11.69 ; 1248 with value (4 34) 18 with value (4 53) 5 with value (4 72)
% 11.49/11.69 ; 1537 with value (4 35) 20 with value (4 54) 7 with value (4 73)
% 11.49/11.69 ; 1698 with value (4 36) 8 with value (4 55) 3 with value (4 74)
% 11.49/11.69 ; 1960 with value (4 37) 27 with value (4 56) 1 with value (4 75)
% 11.49/11.69 ; 2253 with value (4 38) 13 with value (4 57) 6 with value (4 77)
% 11.49/11.69 ; 2444 with value (4 39) 23 with value (4 58) 3 with value (4 80)
% 11.49/11.69 ; 2141 with value (4 40) 5 with value (4 59) 1 with value (4 87)
% 11.49/11.69 Evaluation took:
% 11.49/11.69 11.2 seconds of real time
% 11.49/11.69 10.740592 seconds of user run time
% 11.49/11.69 0.459077 seconds of system run time
% 11.49/11.69 [Run times include 1.863 seconds GC run time.]
% 11.49/11.69 0 calls to %EVAL
% 11.49/11.69 0 page faults and
% 11.49/11.69 501,141,528 bytes consed.
% 11.49/11.69 :PROOF-FOUND
% 11.49/11.69 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-02T11:43:26
% 11.49/11.70 :PROOF-FOUND
% 11.49/11.70 *
%------------------------------------------------------------------------------