TSTP Solution File: LCL039-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL039-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n013.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 14:19:43 EDT 2022
% Result : Unsatisfiable 100.56s 100.74s
% Output : Refutation 100.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 22 ( 20 unt; 0 nHn; 8 RR)
% Number of literals : 25 ( 0 equ; 8 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 : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 32 ( 6 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_18,axiom,
is_a_theorem(implies(X,implies(Y,X))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_18) ).
cnf(cn_35,axiom,
is_a_theorem(implies(implies(X,implies(Y,Z)),implies(implies(X,Y),implies(X,Z)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_35) ).
cnf(cn_49,axiom,
is_a_theorem(implies(implies(not(X),not(Y)),implies(Y,X))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_49) ).
cnf(necessitation1,axiom,
is_a_theorem(implies(necessary(implies(X,Y)),implies(necessary(X),necessary(Y)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',necessitation1) ).
cnf(necessitation2,axiom,
is_a_theorem(implies(necessary(X),X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',necessitation2) ).
cnf(axiom_of_necessitation,axiom,
( ~ is_a_theorem(X)
| is_a_theorem(necessary(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_of_necessitation) ).
cnf(prove_this,negated_conjecture,
~ is_a_theorem(implies(necessary(a),not(necessary(not(a))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
cnf(11,plain,
is_a_theorem(implies(X,implies(necessary(Y),Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,cn_18,necessitation2]) ).
cnf(19,plain,
is_a_theorem(implies(X,implies(implies(not(Y),not(Z)),implies(Z,Y)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,cn_49,cn_18]) ).
cnf(48,plain,
is_a_theorem(implies(implies(X,necessary(Y)),implies(X,Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,11,cn_35]) ).
cnf(124,plain,
~ is_a_theorem(implies(necessary(a),necessary(not(necessary(not(a)))))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,48,prove_this]) ).
cnf(827,plain,
is_a_theorem(implies(implies(X,implies(not(Y),not(Z))),implies(X,implies(Z,Y)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,19,cn_35]) ).
cnf(1119,plain,
~ is_a_theorem(necessary(implies(a,not(necessary(not(a)))))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,124,necessitation1]) ).
cnf(1540,plain,
~ is_a_theorem(implies(a,not(necessary(not(a))))),
inference('UR-RESOLVE',[status(thm)],[axiom_of_necessitation,1119]) ).
cnf(16754,plain,
is_a_theorem(implies(not(X),implies(X,Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,827,cn_18]) ).
cnf(16756,plain,
is_a_theorem(implies(implies(not(X),necessary(not(Y))),implies(Y,X))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,827,48]) ).
cnf(16897,plain,
is_a_theorem(implies(not(not(X)),implies(Y,X))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,16754,827]) ).
cnf(17740,plain,
is_a_theorem(implies(implies(not(not(X)),Y),implies(not(not(X)),X))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,16897,cn_35]) ).
cnf(21724,plain,
~ is_a_theorem(implies(not(not(necessary(not(a)))),necessary(not(a)))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,16756,1540]) ).
cnf(128488,plain,
is_a_theorem(implies(not(not(X)),X)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,17740,16897]) ).
cnf(128489,plain,
$false,
inference('REWRITE',[status(thm)],[21724,128488]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL039-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n013.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
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jul 3 04:31:44 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 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 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T04:31:44
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-07-03T04:31:44
% 100.56/100.74
% 100.56/100.74
% 100.56/100.74 #||
% 100.56/100.74 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 100.56/100.74 % SZS output start Refutation
% See solution above
% 100.56/100.74 ||#
% 100.56/100.74
% 100.56/100.74 ; Summary of computation:
% 100.56/100.74 ; 211759 formulas have been input or derived (from 687 formulas).
% 100.56/100.74 ; 128489 (61%) were retained. Of these,
% 100.56/100.74 ; 322 ( 0%) were simplified or subsumed later,
% 100.56/100.74 ; 128167 (100%) are still being kept.
% 100.56/100.74 ;
% 100.56/100.74 ; Run time in seconds excluding printing time:
% 100.56/100.74 ; 0.002 0% Read assertion file (1 call)
% 100.56/100.74 ; 0.001 0% Assert (8 calls)
% 100.56/100.74 ; 22.582 23% Process new row (183,626 calls)
% 100.56/100.74 ; 58.493 58% Resolution (1,372 calls)
% 100.56/100.74 ; 2.442 2% Paramodulation (686 calls)
% 100.56/100.74 ; 0.000 0% Condensing (2 calls)
% 100.56/100.74 ; 0.000 0% Forward subsumption (2 calls)
% 100.56/100.74 ; 0.000 0% Backward subsumption (2 calls)
% 100.56/100.74 ; 6.744 7% Forward simplification (183,332 calls)
% 100.56/100.74 ; 9.339 9% Backward simplification (128,489 calls)
% 100.56/100.74 ; 0.000 0% Sortal reasoning (32 calls)
% 100.56/100.74 ; 0.000 0% Purity testing (1 call)
% 100.56/100.74 ; 0.678 1% Other
% 100.56/100.74 ; 100.281 Total
% 100.56/100.74 ; 100.277 Real time
% 100.56/100.75 ;
% 100.56/100.75 ; Term-hash-array has 263,553 terms in all.
% 100.56/100.75 ; Feature-vector-row-index has 2 entries (2 at peak, 2 added, 0 deleted).
% 100.56/100.75 ; Feature-vector-row-index has 6 nodes (6 at peak, 6 added, 0 deleted).
% 100.56/100.75 ; Retrieved 0 possibly forward subsuming rows in 2 calls.
% 100.56/100.75 ; Retrieved 0 possibly backward subsumed rows in 2 calls.
% 100.56/100.75 ; Path-index has 262,897 entries (262,898 at peak, 263,554 added, 657 deleted).
% 100.56/100.75 ; Path-index has 21,693 nodes (21,693 at peak, 21,695 added, 2 deleted).
% 100.56/100.75 ; Trie-index has 262,897 entries (262,898 at peak, 263,554 added, 657 deleted).
% 100.56/100.75 ; Trie-index has 797,654 nodes (797,655 at peak, 799,759 added, 2,105 deleted).
% 100.56/100.75 ; Retrieved 1,990,839 generalization terms in 183,330 calls.
% 100.56/100.75 ; Retrieved 252,307 instance terms in 128,486 calls.
% 100.56/100.75 ; Retrieved 112,431,101 unifiable terms in 57,002 calls.
% 100.56/100.75 ;
% 100.56/100.75 ; The agenda of rows to process has 525 entries:
% 100.56/100.75 ; 13 with value 16 1 with value 24 21 with value 32
% 100.56/100.75 ; 10 with value 17 4 with value 25 25 with value 33
% 100.56/100.75 ; 28 with value 18 6 with value 26 64 with value 34
% 100.56/100.75 ; 34 with value 19 1 with value 27 70 with value 35
% 100.56/100.75 ; 36 with value 20 2 with value 28 89 with value 36
% 100.56/100.75 ; 22 with value 21 9 with value 29 35 with value 37
% 100.56/100.75 ; 4 with value 22 9 with value 30 22 with value 38
% 100.56/100.75 ; 6 with value 23 11 with value 31 3 with value 39
% 100.56/100.75 ; The agenda of rows to give has 127483 entries:
% 100.56/100.75 ; 1 with value (4 16) 3667 with value (4 28) 17043 with value (4 35)
% 100.56/100.75 ; 122 with value (4 22) 5536 with value (4 29) 12413 with value (4 36)
% 100.56/100.75 ; 467 with value (4 23) 8016 with value (4 30) 6992 with value (4 37)
% 100.56/100.75 ; 684 with value (4 24) 11571 with value (4 31) 2647 with value (4 38)
% 100.56/100.75 ; 1132 with value (4 25) 15349 with value (4 32) 725 with value (4 39)
% 100.56/100.75 ; 1715 with value (4 26) 18040 with value (4 33) 321 with value (4 40)
% 100.56/100.75 ; 2445 with value (4 27) 18585 with value (4 34) 12 with value (4 41)
% 100.56/100.75 Evaluation took:
% 100.56/100.75 100.289 seconds of real time
% 100.56/100.75 97.51662 seconds of user run time
% 100.56/100.75 2.777379 seconds of system run time
% 100.56/100.75 [Run times include 23.135 seconds GC run time.]
% 100.56/100.75 0 calls to %EVAL
% 100.56/100.75 0 page faults and
% 100.56/100.75 3,041,414,288 bytes consed.
% 100.56/100.75 :PROOF-FOUND
% 100.56/100.75 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T04:33:25
% 100.56/100.75 :PROOF-FOUND
% 100.56/100.75 *
%------------------------------------------------------------------------------