TSTP Solution File: LCL052-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL052-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 14:19:48 EDT 2022
% Result : Unsatisfiable 13.24s 13.46s
% Output : Refutation 13.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of clauses : 25 ( 24 unt; 0 nHn; 8 RR)
% Number of literals : 27 ( 0 equ; 8 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 : 54 ( 17 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_24,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,b),a),a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_24) ).
cnf(8,plain,
~ is_a_theorem(implies(implies(implies(not(X),X),X),implies(implies(implies(a,b),a),a))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,prove_cn_24,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(37,plain,
is_a_theorem(implies(implies(not(implies(not(X),X)),implies(not(X),X)),X)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,11,cn_2]) ).
cnf(56,plain,
is_a_theorem(implies(X,implies(implies(not(not(X)),not(X)),Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,12,11]) ).
cnf(223,plain,
~ is_a_theorem(implies(implies(implies(a,b),a),implies(not(a),a))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,8,cn_1]) ).
cnf(241,plain,
~ is_a_theorem(implies(not(a),implies(a,b))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,223,cn_1]) ).
cnf(293,plain,
~ is_a_theorem(implies(implies(not(not(a)),X),implies(a,b))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,241,12]) ).
cnf(670,plain,
is_a_theorem(implies(implies(X,not(Y)),implies(Y,implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,13,12]) ).
cnf(672,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(722,plain,
is_a_theorem(implies(X,implies(Y,implies(not(X),Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,670,12]) ).
cnf(732,plain,
is_a_theorem(implies(implies(implies(X,implies(Y,Z)),U),implies(implies(Y,not(X)),U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,670,cn_1]) ).
cnf(773,plain,
is_a_theorem(implies(implies(implies(X,implies(not(Y),Z)),U),implies(Y,U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,722,cn_1]) ).
cnf(3897,plain,
is_a_theorem(implies(implies(X,implies(not(not(Y)),not(Y))),implies(Y,implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,672,56]) ).
cnf(17504,plain,
is_a_theorem(implies(not(X),implies(X,implies(Y,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,3897,773]) ).
cnf(17505,plain,
is_a_theorem(implies(implies(not(not(X)),not(Y)),implies(X,implies(Y,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,3897,732]) ).
cnf(17766,plain,
is_a_theorem(implies(implies(implies(X,implies(Y,Z)),U),implies(not(X),U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,17504,cn_1]) ).
cnf(18621,plain,
~ is_a_theorem(implies(not(not(implies(not(not(a)),X))),not(a))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,17505,293]) ).
cnf(26718,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,17766,37,18621]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL052-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.14 % Command : run-snark %s %d
% 0.15/0.35 % Computer : n023.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Mon Jul 4 16:09:12 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T16:09:12
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-07-04T16:09:12
% 13.24/13.46
% 13.24/13.46
% 13.24/13.46 #||
% 13.24/13.46 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.24/13.46 % SZS output start Refutation
% See solution above
% 13.24/13.46 ||#
% 13.24/13.46
% 13.24/13.46 ; Summary of computation:
% 13.24/13.46 ; 42662 formulas have been input or derived (from 335 formulas).
% 13.24/13.46 ; 26718 (63%) were retained. Of these,
% 13.24/13.46 ; 172 ( 1%) were simplified or subsumed later,
% 13.24/13.46 ; 26546 (99%) are still being kept.
% 13.24/13.46 ;
% 13.24/13.46 ; Run time in seconds excluding printing time:
% 13.24/13.46 ; 0.001 0% Read assertion file (1 call)
% 13.24/13.46 ; 0.000 0% Assert (5 calls)
% 13.24/13.46 ; 3.676 28% Process new row (38,787 calls)
% 13.24/13.46 ; 6.423 49% Resolution (668 calls)
% 13.24/13.46 ; 0.255 2% Paramodulation (334 calls)
% 13.24/13.46 ; 0.000 0% Condensing (1 call)
% 13.24/13.46 ; 0.000 0% Forward subsumption (1 call)
% 13.24/13.46 ; 0.000 0% Backward subsumption (1 call)
% 13.24/13.46 ; 0.959 7% Forward simplification (38,680 calls)
% 13.24/13.46 ; 1.508 12% Backward simplification (26,718 calls)
% 13.24/13.46 ; 0.000 0% Sortal reasoning (32 calls)
% 13.24/13.46 ; 0.001 0% Purity testing (1 call)
% 13.24/13.46 ; 0.166 1% Other
% 13.24/13.46 ; 12.989 Total
% 13.24/13.46 ; 12.993 Real time
% 13.24/13.46 ;
% 13.24/13.46 ; Term-hash-array has 59,290 terms in all.
% 13.24/13.46 ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 13.24/13.46 ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 13.24/13.46 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 13.24/13.46 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 13.24/13.46 ; Path-index has 58,858 entries (58,858 at peak, 59,351 added, 493 deleted).
% 13.24/13.46 ; Path-index has 19,362 nodes (19,362 at peak, 19,362 added, 0 deleted).
% 13.24/13.46 ; Trie-index has 58,858 entries (58,858 at peak, 59,351 added, 493 deleted).
% 13.24/13.46 ; Trie-index has 276,587 nodes (276,587 at peak, 277,986 added, 1,399 deleted).
% 13.24/13.46 ; Retrieved 349,186 generalization terms in 38,677 calls.
% 13.24/13.46 ; Retrieved 166,293 instance terms in 26,716 calls.
% 13.24/13.46 ; Retrieved 16,098,747 unifiable terms in 15,396 calls.
% 13.24/13.46 ;
% 13.24/13.46 ; The agenda of rows to process has 523 entries:
% 13.24/13.46 ; 1 with value 14 30 with value 26 19 with value 36
% 13.24/13.46 ; 1 with value 17 34 with value 27 29 with value 37
% 13.24/13.46 ; 4 with value 18 26 with value 28 56 with value 38
% 13.24/13.46 ; 5 with value 19 22 with value 29 56 with value 39
% 13.24/13.46 ; 4 with value 20 28 with value 30 23 with value 40
% 13.24/13.46 ; 7 with value 21 6 with value 31 21 with value 41
% 13.24/13.46 ; 28 with value 22 3 with value 32 4 with value 42
% 13.24/13.46 ; 16 with value 23 22 with value 33 1 with value 44
% 13.24/13.46 ; 7 with value 24 17 with value 34 1 with value 47
% 13.24/13.46 ; 26 with value 25 25 with value 35 1 with value 50
% 13.24/13.46 ; The agenda of rows to give has 26215 entries:
% 13.24/13.46 ; 8 with value (4 24) 872 with value (4 42) 25 with value (4 60)
% 13.24/13.46 ; 81 with value (4 25) 271 with value (4 43) 13 with value (4 61)
% 13.24/13.46 ; 159 with value (4 26) 65 with value (4 44) 19 with value (4 62)
% 13.24/13.46 ; 262 with value (4 27) 38 with value (4 45) 10 with value (4 63)
% 13.24/13.46 ; 394 with value (4 28) 52 with value (4 46) 24 with value (4 64)
% 13.24/13.46 ; 482 with value (4 29) 34 with value (4 47) 18 with value (4 65)
% 13.24/13.46 ; 537 with value (4 30) 32 with value (4 48) 7 with value (4 66)
% 13.24/13.46 ; 764 with value (4 31) 37 with value (4 49) 11 with value (4 67)
% 13.24/13.46 ; 1033 with value (4 32) 20 with value (4 50) 11 with value (4 68)
% 13.24/13.46 ; 1333 with value (4 33) 26 with value (4 51) 3 with value (4 69)
% 13.24/13.46 ; 1624 with value (4 34) 27 with value (4 52) 8 with value (4 70)
% 13.24/13.46 ; 1911 with value (4 35) 24 with value (4 53) 13 with value (4 71)
% 13.24/13.46 ; 2445 with value (4 36) 30 with value (4 54) 7 with value (4 73)
% 13.24/13.46 ; 2401 with value (4 37) 26 with value (4 55) 3 with value (4 74)
% 13.24/13.46 ; 2811 with value (4 38) 24 with value (4 56) 2 with value (4 75)
% 13.24/13.46 ; 3074 with value (4 39) 15 with value (4 57) 2 with value (4 76)
% 13.24/13.46 ; 2810 with value (4 40) 24 with value (4 58) 6 with value (4 77)
% 13.24/13.46 ; 2273 with value (4 41) 13 with value (4 59) 1 with value (4 84)
% 13.24/13.46 Evaluation took:
% 13.24/13.46 12.996 seconds of real time
% 13.24/13.46 12.468768 seconds of user run time
% 13.24/13.46 0.52522 seconds of system run time
% 13.24/13.46 [Run times include 2.371 seconds GC run time.]
% 13.24/13.46 0 calls to %EVAL
% 13.24/13.46 0 page faults and
% 13.24/13.46 622,883,072 bytes consed.
% 13.24/13.46 :PROOF-FOUND
% 13.24/13.46 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T16:09:25
% 13.24/13.46 :PROOF-FOUND
% 13.24/13.46 *
%------------------------------------------------------------------------------