TSTP Solution File: LCL069-1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL069-1 : TPTP v8.1.0. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n012.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 14:19:58 EDT 2022
% Result : Unsatisfiable 3.13s 3.36s
% Output : Refutation 3.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of clauses : 19 ( 18 unt; 0 nHn; 4 RR)
% Number of literals : 21 ( 0 equ; 4 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 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 : 43 ( 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(cn_19,axiom,
is_a_theorem(implies(implies(implies(X,Y),Z),implies(Y,Z))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_19) ).
cnf(cn_37,axiom,
is_a_theorem(implies(implies(implies(X,Y),Z),implies(not(X),Z))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_37) ).
cnf(cn_59,axiom,
is_a_theorem(implies(implies(not(X),Y),implies(implies(Z,Y),implies(implies(X,Z),Y)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_59) ).
cnf(prove_cn_3,negated_conjecture,
~ is_a_theorem(implies(a,implies(not(a),b))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_3) ).
cnf(6,plain,
is_a_theorem(implies(X,implies(Y,X))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,cn_19,cn_19]) ).
cnf(9,plain,
is_a_theorem(implies(not(implies(X,Y)),implies(Y,Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,cn_37,cn_19]) ).
cnf(18,plain,
is_a_theorem(implies(not(X),implies(Y,implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,6,cn_37]) ).
cnf(22,plain,
is_a_theorem(implies(implies(X,implies(Y,not(Z))),implies(implies(Z,X),implies(Y,not(Z))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,6,cn_59]) ).
cnf(52,plain,
is_a_theorem(implies(implies(X,implies(Y,Z)),implies(implies(implies(U,Y),X),implies(Y,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,9,cn_59]) ).
cnf(3792,plain,
is_a_theorem(implies(implies(implies(X,Y),not(Z)),implies(Y,implies(Z,U)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,52,18]) ).
cnf(3797,plain,
is_a_theorem(implies(implies(implies(X,Y),implies(implies(Z,Y),U)),implies(Y,U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,52,cn_19]) ).
cnf(4328,plain,
~ is_a_theorem(implies(implies(X,a),not(not(a)))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,3792,prove_cn_3]) ).
cnf(5183,plain,
is_a_theorem(implies(X,X)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,3797,cn_19]) ).
cnf(5184,plain,
is_a_theorem(implies(not(X),implies(X,Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,3797,3792]) ).
cnf(5413,plain,
is_a_theorem(implies(implies(X,not(Y)),implies(implies(Y,X),not(Y)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,5183,cn_59]) ).
cnf(5525,plain,
is_a_theorem(implies(implies(X,not(Y)),implies(Y,not(X)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,5184,22]) ).
cnf(7119,plain,
is_a_theorem(implies(X,not(not(X)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,5525,5183]) ).
cnf(11378,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,5413,7119,4328]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LCL069-1 : TPTP v8.1.0. Bugfixed v1.2.0.
% 0.12/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jul 2 23:34:47 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-02T23:34:47
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-07-02T23:34:47
% 3.13/3.36
% 3.13/3.36
% 3.13/3.36 #||
% 3.13/3.36 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.13/3.36 % SZS output start Refutation
% See solution above
% 3.24/3.43 ||#
% 3.24/3.43
% 3.24/3.43 ; Summary of computation:
% 3.24/3.43 ; 16989 formulas have been input or derived (from 234 formulas).
% 3.24/3.43 ; 11378 (67%) were retained. Of these,
% 3.24/3.43 ; 85 ( 1%) were simplified or subsumed later,
% 3.24/3.43 ; 11293 (99%) are still being kept.
% 3.24/3.43 ;
% 3.24/3.43 ; Run time in seconds excluding printing time:
% 3.24/3.43 ; 0.001 0% Read assertion file (1 call)
% 3.24/3.43 ; 0.001 0% Assert (5 calls)
% 3.24/3.43 ; 1.028 35% Process new row (15,291 calls)
% 3.24/3.43 ; 0.602 21% Resolution (466 calls)
% 3.24/3.43 ; 0.047 2% Paramodulation (233 calls)
% 3.24/3.43 ; 0.000 0% Condensing (1 call)
% 3.24/3.43 ; 0.000 0% Forward subsumption (1 call)
% 3.24/3.43 ; 0.000 0% Backward subsumption (1 call)
% 3.24/3.43 ; 0.396 14% Forward simplification (15,289 calls)
% 3.24/3.43 ; 0.744 26% Backward simplification (11,378 calls)
% 3.24/3.43 ; 0.000 0% Sortal reasoning (32 calls)
% 3.24/3.43 ; 0.000 0% Purity testing (1 call)
% 3.24/3.43 ; 0.083 3% Other
% 3.24/3.43 ; 2.902 Total
% 3.24/3.43 ; 2.975 Real time
% 3.24/3.44 ;
% 3.24/3.44 ; Term-hash-array has 25,073 terms in all.
% 3.24/3.44 ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 3.24/3.44 ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 3.24/3.44 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 3.24/3.44 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 3.24/3.44 ; Path-index has 24,884 entries (24,884 at peak, 25,079 added, 195 deleted).
% 3.24/3.44 ; Path-index has 3,065 nodes (3,065 at peak, 3,065 added, 0 deleted).
% 3.24/3.44 ; Trie-index has 24,884 entries (24,884 at peak, 25,079 added, 195 deleted).
% 3.24/3.44 ; Trie-index has 53,152 nodes (53,152 at peak, 53,176 added, 24 deleted).
% 3.24/3.44 ; Retrieved 150,940 generalization terms in 15,286 calls.
% 3.24/3.44 ; Retrieved 158,362 instance terms in 11,376 calls.
% 3.24/3.44 ; Retrieved 1,973,684 unifiable terms in 5,818 calls.
% 3.24/3.44 ;
% 3.24/3.44 ; The agenda of rows to process has 290 entries:
% 3.24/3.44 ; 1 with value 12 4 with value 23 22 with value 33
% 3.24/3.44 ; 1 with value 14 9 with value 24 34 with value 34
% 3.24/3.44 ; 7 with value 15 9 with value 25 13 with value 35
% 3.24/3.44 ; 4 with value 16 2 with value 26 21 with value 36
% 3.24/3.44 ; 2 with value 17 4 with value 27 20 with value 37
% 3.24/3.44 ; 15 with value 18 6 with value 28 4 with value 38
% 3.24/3.44 ; 12 with value 19 12 with value 29 2 with value 39
% 3.24/3.44 ; 19 with value 20 9 with value 30 1 with value 40
% 3.24/3.44 ; 15 with value 21 13 with value 31 1 with value 41
% 3.24/3.44 ; 10 with value 22 18 with value 32
% 3.24/3.44 ; The agenda of rows to give has 11063 entries:
% 3.24/3.44 ; 46 with value (4 21) 871 with value (4 30) 147 with value (4 39)
% 3.24/3.44 ; 58 with value (4 22) 993 with value (4 31) 78 with value (4 40)
% 3.24/3.44 ; 125 with value (4 23) 1086 with value (4 32) 19 with value (4 41)
% 3.24/3.44 ; 179 with value (4 24) 1148 with value (4 33) 8 with value (4 42)
% 3.24/3.44 ; 247 with value (4 25) 1186 with value (4 34) 4 with value (4 43)
% 3.24/3.44 ; 337 with value (4 26) 1078 with value (4 35) 2 with value (4 44)
% 3.24/3.44 ; 416 with value (4 27) 867 with value (4 36) 3 with value (4 45)
% 3.24/3.44 ; 588 with value (4 28) 585 with value (4 37) 1 with value (4 47)
% 3.24/3.44 ; 686 with value (4 29) 303 with value (4 38) 2 with value (4 49)
% 3.24/3.44 Evaluation took:
% 3.24/3.44 2.976 seconds of real time
% 3.24/3.44 2.845356 seconds of user run time
% 3.24/3.44 0.129708 seconds of system run time
% 3.24/3.44 [Run times include 0.42 seconds GC run time.]
% 3.24/3.44 0 calls to %EVAL
% 3.24/3.44 0 page faults and
% 3.24/3.44 214,934,848 bytes consed.
% 3.24/3.44 :PROOF-FOUND
% 3.24/3.44 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-02T23:34:50
% 3.24/3.44 :PROOF-FOUND
% 3.24/3.44 *
%------------------------------------------------------------------------------