TSTP Solution File: LCL080-2 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL080-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 14:20:03 EDT 2022
% Result : Unsatisfiable 90.45s 90.71s
% Output : Refutation 90.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of clauses : 22 ( 21 unt; 0 nHn; 6 RR)
% Number of literals : 24 ( 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 : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 54 ( 14 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(ic_2,axiom,
is_a_theorem(implies(X,implies(Y,X))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_2) ).
cnf(ic_3,axiom,
is_a_theorem(implies(implies(implies(X,Y),X),X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_3) ).
cnf(ic_4,axiom,
is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_4) ).
cnf(prove_ic_JLukasiewicz,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,b),c),implies(implies(c,a),implies(e,a)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ic_JLukasiewicz) ).
cnf(9,plain,
is_a_theorem(implies(X,implies(implies(implies(Y,Z),Y),Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,ic_3,ic_2]) ).
cnf(10,plain,
is_a_theorem(implies(implies(implies(X,Y),Z),implies(Y,Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,ic_4,ic_2]) ).
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,ic_4,ic_4]) ).
cnf(129,plain,
is_a_theorem(implies(implies(implies(X,Y),Z),implies(implies(implies(U,X),Y),Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,10,ic_4]) ).
cnf(134,plain,
~ is_a_theorem(implies(implies(X,implies(implies(a,b),c)),implies(implies(c,a),implies(e,a)))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,10,prove_ic_JLukasiewicz]) ).
cnf(186,plain,
is_a_theorem(implies(implies(implies(implies(implies(X,Y),X),X),Z),implies(U,Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,9,ic_4]) ).
cnf(2808,plain,
is_a_theorem(implies(implies(implies(X,Y),Z),implies(implies(Z,U),implies(Y,U)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,129,ic_4]) ).
cnf(4772,plain,
is_a_theorem(implies(implies(X,implies(X,Y)),implies(X,Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,13,ic_3]) ).
cnf(4788,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(4949,plain,
is_a_theorem(implies(implies(implies(X,Y),X),implies(implies(X,Y),Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,4772,13]) ).
cnf(6386,plain,
is_a_theorem(implies(implies(implies(implies(X,Y),Y),Z),implies(X,Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,4949,2808]) ).
cnf(10852,plain,
is_a_theorem(implies(implies(X,implies(Y,Z)),implies(Y,implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,6386,13]) ).
cnf(15847,plain,
is_a_theorem(implies(implies(X,implies(implies(Y,Z),Y)),implies(U,implies(X,Y)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,186,13]) ).
cnf(33229,plain,
is_a_theorem(implies(implies(implies(X,Y),Z),implies(U,implies(implies(Z,X),X)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,15847,13]) ).
cnf(45174,plain,
~ is_a_theorem(implies(implies(c,a),implies(implies(implies(a,b),c),a))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,4788,134]) ).
cnf(46688,plain,
~ is_a_theorem(implies(implies(implies(a,b),c),implies(implies(c,a),a))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,45174,10852]) ).
cnf(51429,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[condensed_detachment,46688,4772]),33229]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL080-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n026.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jul 2 14:28:35 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.49 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.50 *
% 0.20/0.50 *
% 0.20/0.51 #<PACKAGE "SNARK-USER">
% 0.20/0.51 *
% 0.20/0.51 SNARK-TPTP-OPTIONS
% 0.20/0.51 *
% 0.20/0.51 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.51 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.51 (USE-FACTORING :POS)
% 0.20/0.51 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.51 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.51 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.51 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.51 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.51 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.51 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.51 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.51 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.51 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.51 *
% 0.20/0.51 "."
% 0.20/0.51 *
% 0.20/0.51 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-02T14:28:35
% 0.20/0.51 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-07-02T14:28:35
% 90.45/90.71
% 90.45/90.71
% 90.45/90.71 #||
% 90.45/90.71 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 90.45/90.71 % SZS output start Refutation
% See solution above
% 90.45/90.71 ||#
% 90.45/90.71
% 90.45/90.71 ; Summary of computation:
% 90.45/90.71 ; 86131 formulas have been input or derived (from 523 formulas).
% 90.45/90.71 ; 51429 (60%) were retained. Of these,
% 90.45/90.71 ; 1166 ( 2%) were simplified or subsumed later,
% 90.45/90.71 ; 50263 (98%) are still being kept.
% 90.45/90.71 ;
% 90.45/90.71 ; Run time in seconds excluding printing time:
% 90.45/90.71 ; 0.001 0% Read assertion file (1 call)
% 90.45/90.71 ; 0.001 0% Assert (6 calls)
% 90.45/90.71 ; 8.506 9% Process new row (79,176 calls)
% 90.45/90.71 ; 58.541 65% Resolution (1,044 calls)
% 90.45/90.71 ; 1.468 2% Paramodulation (522 calls)
% 90.45/90.71 ; 0.000 0% Condensing (1 call)
% 90.45/90.71 ; 0.000 0% Forward subsumption (1 call)
% 90.45/90.71 ; 0.000 0% Backward subsumption (1 call)
% 90.45/90.71 ; 10.553 12% Forward simplification (79,160 calls)
% 90.45/90.71 ; 10.568 12% Backward simplification (51,429 calls)
% 90.45/90.72 ; 0.001 0% Sortal reasoning (32 calls)
% 90.45/90.72 ; 0.000 0% Purity testing (1 call)
% 90.45/90.72 ; 0.466 1% Other
% 90.45/90.72 ; 90.105 Total
% 90.45/90.72 ; 90.201 Real time
% 90.45/90.72 ;
% 90.45/90.72 ; Term-hash-array has 112,265 terms in all.
% 90.45/90.72 ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 90.45/90.72 ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 90.45/90.72 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 90.45/90.72 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 90.45/90.72 ; Path-index has 109,763 entries (109,763 at peak, 112,273 added, 2,510 deleted).
% 90.45/90.72 ; Path-index has 2,773 nodes (2,773 at peak, 2,787 added, 14 deleted).
% 90.45/90.72 ; Trie-index has 109,763 entries (109,763 at peak, 112,273 added, 2,510 deleted).
% 90.45/90.72 ; Trie-index has 177,243 nodes (177,243 at peak, 178,972 added, 1,729 deleted).
% 90.45/90.72 ; Retrieved 4,503,420 generalization terms in 79,158 calls.
% 90.45/90.72 ; Retrieved 961,630 instance terms in 51,427 calls.
% 90.45/90.72 ; Retrieved 142,497,317 unifiable terms in 28,947 calls.
% 90.45/90.72 ;
% 90.45/90.72 ; The agenda of rows to process has 121 entries:
% 90.45/90.72 ; 2 with value 30 12 with value 36 3 with value 41
% 90.45/90.72 ; 1 with value 31 25 with value 37 1 with value 42
% 90.45/90.72 ; 10 with value 32 18 with value 38 1 with value 44
% 90.45/90.72 ; 1 with value 33 16 with value 39 1 with value 45
% 90.45/90.72 ; 6 with value 34 10 with value 40 1 with value 54
% 90.45/90.72 ; 13 with value 35
% 90.45/90.72 ; The agenda of rows to give has 49766 entries:
% 90.45/90.72 ; 11 with value (4 22) 5366 with value (4 35) 128 with value (4 48)
% 90.45/90.72 ; 157 with value (4 23) 6998 with value (4 36) 49 with value (4 49)
% 90.45/90.72 ; 312 with value (4 24) 5577 with value (4 37) 33 with value (4 50)
% 90.45/90.72 ; 409 with value (4 25) 4951 with value (4 38) 7 with value (4 51)
% 90.45/90.72 ; 655 with value (4 26) 2839 with value (4 39) 18 with value (4 52)
% 90.45/90.72 ; 861 with value (4 27) 1303 with value (4 40) 45 with value (4 53)
% 90.45/90.72 ; 1025 with value (4 28) 455 with value (4 41) 63 with value (4 54)
% 90.45/90.72 ; 1432 with value (4 29) 209 with value (4 42) 6 with value (4 55)
% 90.45/90.72 ; 1686 with value (4 30) 138 with value (4 43) 9 with value (4 58)
% 90.45/90.72 ; 2323 with value (4 31) 194 with value (4 44) 39 with value (4 59)
% 90.45/90.72 ; 3179 with value (4 32) 136 with value (4 45) 4 with value (4 60)
% 90.45/90.72 ; 3610 with value (4 33) 41 with value (4 46) 3 with value (4 65)
% 90.45/90.72 ; 5409 with value (4 34) 86 with value (4 47)
% 90.45/90.72 Evaluation took:
% 90.45/90.72 90.205 seconds of real time
% 90.45/90.72 88.561386 seconds of user run time
% 90.45/90.72 1.550076 seconds of system run time
% 90.45/90.72 [Run times include 11.113 seconds GC run time.]
% 90.45/90.72 0 calls to %EVAL
% 90.45/90.72 0 page faults and
% 90.45/90.72 2,812,886,096 bytes consed.
% 90.45/90.72 :PROOF-FOUND
% 90.45/90.72 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-02T14:30:06
% 90.45/90.72 :PROOF-FOUND
% 90.45/90.72 *
%------------------------------------------------------------------------------