TSTP Solution File: LCL381-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL381-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 14:22:30 EDT 2022
% Result : Unsatisfiable 19.54s 20.02s
% Output : Refutation 19.57s
% 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 52 ( 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_42,negated_conjecture,
~ is_a_theorem(implies(implies(implies(not(not(x)),y),z),implies(implies(x,y),z))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_42) ).
cnf(8,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(9,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(10,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(12,plain,
~ is_a_theorem(implies(implies(x,y),implies(not(not(x)),y))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,prove_cn_42,cn_1]) ).
cnf(66,plain,
is_a_theorem(implies(implies(implies(implies(not(X),X),Y),Z),implies(implies(X,Y),Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,8,cn_1]) ).
cnf(92,plain,
is_a_theorem(implies(X,implies(implies(not(not(X)),not(X)),Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,9,8]) ).
cnf(598,plain,
is_a_theorem(implies(implies(X,not(Y)),implies(Y,implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,10,9]) ).
cnf(600,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,10,10]) ).
cnf(644,plain,
is_a_theorem(implies(X,implies(Y,implies(not(X),Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,598,9]) ).
cnf(690,plain,
is_a_theorem(implies(implies(implies(X,implies(not(Y),Z)),U),implies(Y,U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,644,cn_1]) ).
cnf(2042,plain,
~ is_a_theorem(implies(implies(implies(not(x),x),y),implies(not(not(x)),y))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,66,12]) ).
cnf(2044,plain,
is_a_theorem(implies(implies(X,implies(not(Y),Y)),implies(implies(Y,Z),implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,66,10]) ).
cnf(3587,plain,
is_a_theorem(implies(implies(X,implies(not(not(Y)),not(Y))),implies(Y,implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,600,92]) ).
cnf(5345,plain,
~ is_a_theorem(implies(not(not(x)),implies(not(implies(not(x),x)),implies(not(x),x)))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,2044,2042]) ).
cnf(18600,plain,
is_a_theorem(implies(not(X),implies(X,implies(Y,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,3587,690]) ).
cnf(18878,plain,
is_a_theorem(implies(implies(implies(X,implies(Y,Z)),U),implies(not(X),U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,18600,cn_1]) ).
cnf(28463,plain,
is_a_theorem(implies(not(X),implies(Y,implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,18878,3587]) ).
cnf(28464,plain,
$false,
inference('REWRITE',[status(thm)],[5345,28463]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : LCL381-1 : TPTP v8.1.0. Released v2.3.0.
% 0.05/0.11 % Command : run-snark %s %d
% 0.10/0.32 % Computer : n029.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 600
% 0.10/0.32 % DateTime : Sun Jul 3 14:38:41 EDT 2022
% 0.10/0.32 % CPUTime :
% 0.15/0.43 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.44 *
% 0.15/0.44 *
% 0.15/0.44 #<PACKAGE "SNARK-USER">
% 0.15/0.44 *
% 0.15/0.44 SNARK-TPTP-OPTIONS
% 0.15/0.44 *
% 0.15/0.44 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.15/0.44 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.15/0.44 (USE-FACTORING :POS)
% 0.15/0.44 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.15/0.44 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.15/0.44 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.15/0.44 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.15/0.44 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.15/0.44 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.15/0.44 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.15/0.44 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.15/0.44 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.15/0.44 (DECLARE-TPTP-SYMBOLS2))
% 0.15/0.44 *
% 0.15/0.44 "."
% 0.15/0.44 *
% 0.15/0.44 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-03T14:38:41
% 0.15/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-07-03T14:38:41
% 19.54/20.02
% 19.54/20.02
% 19.54/20.02 #||
% 19.54/20.02 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.54/20.02 % SZS output start Refutation
% See solution above
% 19.57/20.07 ||#
% 19.57/20.07
% 19.57/20.07 ; Summary of computation:
% 19.57/20.07 ; 44740 formulas have been input or derived (from 351 formulas).
% 19.57/20.07 ; 28464 (64%) were retained. Of these,
% 19.57/20.07 ; 180 ( 1%) were simplified or subsumed later,
% 19.57/20.07 ; 28284 (99%) are still being kept.
% 19.57/20.07 ;
% 19.57/20.07 ; Run time in seconds excluding printing time:
% 19.57/20.07 ; 0.001 0% Read assertion file (1 call)
% 19.57/20.07 ; 0.000 0% Assert (5 calls)
% 19.57/20.07 ; 4.676 24% Process new row (40,788 calls)
% 19.57/20.07 ; 9.570 50% Resolution (700 calls)
% 19.57/20.07 ; 0.477 2% Paramodulation (350 calls)
% 19.57/20.07 ; 0.000 0% Condensing (1 call)
% 19.57/20.07 ; 0.000 0% Forward subsumption (1 call)
% 19.57/20.07 ; 0.001 0% Backward subsumption (1 call)
% 19.57/20.07 ; 1.820 9% Forward simplification (40,650 calls)
% 19.57/20.07 ; 2.441 13% Backward simplification (28,464 calls)
% 19.57/20.07 ; 0.000 0% Sortal reasoning (32 calls)
% 19.57/20.07 ; 0.000 0% Purity testing (1 call)
% 19.57/20.07 ; 0.317 2% Other
% 19.57/20.07 ; 19.303 Total
% 19.57/20.07 ; 19.626 Real time
% 19.57/20.07 ;
% 19.57/20.07 ; Term-hash-array has 62,876 terms in all.
% 19.57/20.07 ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 19.57/20.07 ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 19.57/20.07 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 19.57/20.07 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 19.57/20.07 ; Path-index has 62,427 entries (62,429 at peak, 62,941 added, 514 deleted).
% 19.57/20.07 ; Path-index has 18,134 nodes (18,134 at peak, 18,134 added, 0 deleted).
% 19.57/20.07 ; Trie-index has 62,427 entries (62,429 at peak, 62,941 added, 514 deleted).
% 19.57/20.07 ; Trie-index has 276,937 nodes (276,949 at peak, 278,314 added, 1,377 deleted).
% 19.57/20.07 ; Retrieved 402,453 generalization terms in 40,647 calls.
% 19.57/20.07 ; Retrieved 171,282 instance terms in 28,462 calls.
% 19.57/20.07 ; Retrieved 16,251,025 unifiable terms in 16,023 calls.
% 19.57/20.07 ;
% 19.57/20.07 ; The agenda of rows to process has 526 entries:
% 19.57/20.07 ; 5 with value 20 25 with value 29 38 with value 37
% 19.57/20.07 ; 7 with value 21 24 with value 30 29 with value 38
% 19.57/20.07 ; 26 with value 22 8 with value 31 77 with value 39
% 19.57/20.07 ; 16 with value 23 5 with value 32 27 with value 40
% 19.57/20.07 ; 10 with value 24 19 with value 33 23 with value 41
% 19.57/20.07 ; 24 with value 25 14 with value 34 5 with value 42
% 19.57/20.07 ; 28 with value 26 24 with value 35 1 with value 47
% 19.57/20.07 ; 32 with value 27 28 with value 36 1 with value 50
% 19.57/20.07 ; 30 with value 28
% 19.57/20.07 ; The agenda of rows to give has 27937 entries:
% 19.57/20.07 ; 1 with value (4 19) 2036 with value (4 41) 15 with value (4 59)
% 19.57/20.07 ; 1 with value (4 20) 1392 with value (4 42) 18 with value (4 60)
% 19.57/20.07 ; 12 with value (4 24) 264 with value (4 43) 12 with value (4 61)
% 19.57/20.07 ; 110 with value (4 25) 48 with value (4 44) 30 with value (4 62)
% 19.57/20.07 ; 163 with value (4 26) 49 with value (4 45) 8 with value (4 63)
% 19.57/20.07 ; 267 with value (4 27) 47 with value (4 46) 9 with value (4 64)
% 19.57/20.07 ; 407 with value (4 28) 42 with value (4 47) 14 with value (4 65)
% 19.57/20.07 ; 554 with value (4 29) 37 with value (4 48) 10 with value (4 66)
% 19.57/20.07 ; 657 with value (4 30) 46 with value (4 49) 13 with value (4 67)
% 19.57/20.07 ; 693 with value (4 31) 18 with value (4 50) 25 with value (4 68)
% 19.57/20.07 ; 1099 with value (4 32) 25 with value (4 51) 4 with value (4 69)
% 19.57/20.07 ; 1507 with value (4 33) 32 with value (4 52) 6 with value (4 70)
% 19.57/20.07 ; 1682 with value (4 34) 23 with value (4 53) 14 with value (4 71)
% 19.57/20.07 ; 2115 with value (4 35) 26 with value (4 54) 1 with value (4 72)
% 19.57/20.07 ; 2256 with value (4 36) 17 with value (4 55) 2 with value (4 73)
% 19.57/20.07 ; 2720 with value (4 37) 29 with value (4 56) 16 with value (4 74)
% 19.57/20.07 ; 3091 with value (4 38) 19 with value (4 57) 7 with value (4 77)
% 19.57/20.07 ; 3128 with value (4 39) 36 with value (4 58) 1 with value (4 80)
% 19.57/20.07 ; 3083 with value (4 40)
% 19.57/20.07 Evaluation took:
% 19.57/20.07 19.629 seconds of real time
% 19.57/20.07 18.65888 seconds of user run time
% 19.57/20.07 0.700103 seconds of system run time
% 19.57/20.07 [Run times include 3.434 seconds GC run time.]
% 19.57/20.07 0 calls to %EVAL
% 19.57/20.07 0 page faults and
% 19.57/20.07 655,922,472 bytes consed.
% 19.57/20.07 :PROOF-FOUND
% 19.57/20.07 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-03T14:39:00
% 19.57/20.07 :PROOF-FOUND
% 19.57/20.07 *
%------------------------------------------------------------------------------