TSTP Solution File: LCL378-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL378-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n024.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 14:22:29 EDT 2022
% Result : Unsatisfiable 15.52s 15.70s
% Output : Refutation 15.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of clauses : 25 ( 24 unt; 0 nHn; 6 RR)
% Number of literals : 27 ( 0 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 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 : 61 ( 18 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_36,negated_conjecture,
~ is_a_theorem(implies(not(x),implies(x,y))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_36) ).
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(62,plain,
is_a_theorem(implies(implies(not(implies(not(X),X)),implies(not(X),X)),X)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,12,cn_2]) ).
cnf(65,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(88,plain,
~ is_a_theorem(implies(implies(not(not(x)),X),implies(x,y))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,13,prove_cn_36]) ).
cnf(91,plain,
is_a_theorem(implies(X,implies(implies(not(not(X)),not(X)),Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,13,12]) ).
cnf(168,plain,
~ is_a_theorem(implies(implies(not(implies(not(not(x)),X)),Y),implies(x,y))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,88,13]) ).
cnf(859,plain,
is_a_theorem(implies(implies(X,not(Y)),implies(Y,implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,14,13]) ).
cnf(861,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(925,plain,
is_a_theorem(implies(X,implies(Y,implies(not(X),Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,859,13]) ).
cnf(936,plain,
is_a_theorem(implies(implies(implies(X,implies(Y,Z)),U),implies(implies(Y,not(X)),U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,859,cn_1]) ).
cnf(1086,plain,
is_a_theorem(implies(implies(implies(X,implies(not(Y),Z)),U),implies(Y,U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,925,cn_1]) ).
cnf(3885,plain,
is_a_theorem(implies(implies(X,implies(not(Y),Y)),implies(implies(Y,Z),implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,65,14]) ).
cnf(6298,plain,
is_a_theorem(implies(implies(X,implies(not(not(Y)),not(Y))),implies(Y,implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,861,91]) ).
cnf(8741,plain,
is_a_theorem(implies(implies(not(X),not(Y)),implies(implies(X,Z),implies(Y,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,3885,936]) ).
cnf(10569,plain,
~ is_a_theorem(implies(not(not(implies(not(not(x)),X))),not(x))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,8741,168]) ).
cnf(19691,plain,
is_a_theorem(implies(not(X),implies(X,implies(Y,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,6298,1086]) ).
cnf(19980,plain,
is_a_theorem(implies(implies(implies(X,implies(Y,Z)),U),implies(not(X),U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,19691,cn_1]) ).
cnf(29407,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,19980,62,10569]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL378-1 : TPTP v8.1.0. Released v2.3.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n024.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jul 2 11:11:30 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-02T11:11:30
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-07-02T11:11:30
% 15.52/15.70
% 15.52/15.70
% 15.52/15.70 #||
% 15.52/15.70 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.52/15.70 % SZS output start Refutation
% See solution above
% 15.52/15.71 ||#
% 15.52/15.71
% 15.52/15.71 ; Summary of computation:
% 15.52/15.71 ; 46307 formulas have been input or derived (from 363 formulas).
% 15.52/15.71 ; 29407 (64%) were retained. Of these,
% 15.52/15.71 ; 270 ( 1%) were simplified or subsumed later,
% 15.52/15.71 ; 29137 (99%) are still being kept.
% 15.52/15.71 ;
% 15.52/15.71 ; Run time in seconds excluding printing time:
% 15.52/15.71 ; 0.001 0% Read assertion file (1 call)
% 15.52/15.71 ; 0.000 0% Assert (5 calls)
% 15.52/15.71 ; 3.795 25% Process new row (41,707 calls)
% 15.52/15.71 ; 7.466 49% Resolution (724 calls)
% 15.52/15.71 ; 0.305 2% Paramodulation (362 calls)
% 15.52/15.71 ; 0.000 0% Condensing (1 call)
% 15.52/15.71 ; 0.000 0% Forward subsumption (1 call)
% 15.52/15.71 ; 0.000 0% Backward subsumption (1 call)
% 15.52/15.71 ; 1.663 11% Forward simplification (41,533 calls)
% 15.52/15.71 ; 1.774 12% Backward simplification (29,407 calls)
% 15.52/15.71 ; 0.000 0% Sortal reasoning (32 calls)
% 15.52/15.71 ; 0.000 0% Purity testing (1 call)
% 15.52/15.71 ; 0.220 1% Other
% 15.52/15.71 ; 15.224 Total
% 15.52/15.71 ; 15.230 Real time
% 15.52/15.71 ;
% 15.52/15.71 ; Term-hash-array has 64,901 terms in all.
% 15.52/15.71 ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 15.52/15.71 ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 15.52/15.71 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 15.52/15.71 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 15.52/15.71 ; Path-index has 64,234 entries (64,234 at peak, 64,955 added, 721 deleted).
% 15.52/15.71 ; Path-index has 18,983 nodes (18,983 at peak, 18,986 added, 3 deleted).
% 15.52/15.71 ; Trie-index has 64,234 entries (64,234 at peak, 64,955 added, 721 deleted).
% 15.52/15.71 ; Trie-index has 293,420 nodes (293,420 at peak, 295,888 added, 2,468 deleted).
% 15.52/15.71 ; Retrieved 367,088 generalization terms in 41,530 calls.
% 15.52/15.71 ; Retrieved 199,909 instance terms in 29,405 calls.
% 15.52/15.71 ; Retrieved 19,915,817 unifiable terms in 15,320 calls.
% 15.52/15.71 ;
% 15.52/15.71 ; The agenda of rows to process has 556 entries:
% 15.52/15.71 ; 1 with value 14 31 with value 26 24 with value 36
% 15.52/15.71 ; 1 with value 17 34 with value 27 43 with value 37
% 15.52/15.71 ; 4 with value 18 27 with value 28 51 with value 38
% 15.52/15.71 ; 5 with value 19 25 with value 29 56 with value 39
% 15.52/15.71 ; 4 with value 20 28 with value 30 27 with value 40
% 15.52/15.71 ; 10 with value 21 7 with value 31 23 with value 41
% 15.52/15.71 ; 26 with value 22 4 with value 32 5 with value 42
% 15.52/15.71 ; 15 with value 23 25 with value 33 1 with value 47
% 15.52/15.71 ; 13 with value 24 16 with value 34 1 with value 50
% 15.52/15.71 ; 25 with value 25 24 with value 35
% 15.52/15.71 ; The agenda of rows to give has 28782 entries:
% 15.52/15.71 ; 24 with value (4 24) 719 with value (4 42) 28 with value (4 60)
% 15.52/15.71 ; 141 with value (4 25) 174 with value (4 43) 13 with value (4 61)
% 15.52/15.71 ; 198 with value (4 26) 58 with value (4 44) 26 with value (4 62)
% 15.52/15.71 ; 300 with value (4 27) 45 with value (4 45) 12 with value (4 63)
% 15.52/15.71 ; 421 with value (4 28) 45 with value (4 46) 19 with value (4 64)
% 15.52/15.71 ; 555 with value (4 29) 36 with value (4 47) 19 with value (4 65)
% 15.52/15.71 ; 723 with value (4 30) 36 with value (4 48) 12 with value (4 66)
% 15.52/15.71 ; 869 with value (4 31) 38 with value (4 49) 13 with value (4 67)
% 15.52/15.71 ; 1129 with value (4 32) 23 with value (4 50) 12 with value (4 68)
% 15.52/15.71 ; 1509 with value (4 33) 22 with value (4 51) 12 with value (4 69)
% 15.52/15.71 ; 2049 with value (4 34) 34 with value (4 52) 6 with value (4 70)
% 15.52/15.71 ; 2329 with value (4 35) 29 with value (4 53) 14 with value (4 71)
% 15.52/15.71 ; 2469 with value (4 36) 26 with value (4 54) 2 with value (4 73)
% 15.52/15.71 ; 2844 with value (4 37) 23 with value (4 55) 9 with value (4 74)
% 15.52/15.71 ; 3346 with value (4 38) 28 with value (4 56) 1 with value (4 75)
% 15.52/15.71 ; 3585 with value (4 39) 22 with value (4 57) 2 with value (4 76)
% 15.52/15.71 ; 2828 with value (4 40) 26 with value (4 58) 5 with value (4 77)
% 15.52/15.71 ; 1861 with value (4 41) 12 with value (4 59) 1 with value (4 80)
% 15.52/15.71 Evaluation took:
% 15.52/15.71 15.233 seconds of real time
% 15.52/15.71 14.651745 seconds of user run time
% 15.52/15.71 0.576797 seconds of system run time
% 15.52/15.71 [Run times include 2.764 seconds GC run time.]
% 15.52/15.71 0 calls to %EVAL
% 15.52/15.71 0 page faults and
% 15.52/15.71 708,777,872 bytes consed.
% 15.52/15.71 :PROOF-FOUND
% 15.52/15.71 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-02T11:11:45
% 15.52/15.71 :PROOF-FOUND
% 15.52/15.71 *
%------------------------------------------------------------------------------