TSTP Solution File: LCL077-1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL077-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.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 14:20:01 EDT 2022
% Result : Unsatisfiable 0.69s 0.88s
% Output : Refutation 0.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 13 ( 12 unt; 0 nHn; 5 RR)
% Number of literals : 15 ( 0 equ; 5 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 : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 21 ( 4 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(prove_cn_39,negated_conjecture,
~ is_a_theorem(implies(not(not(a)),a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_39) ).
cnf(10,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(12,plain,
is_a_theorem(implies(implies(X,Y),implies(X,X))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,cn_35,cn_18]) ).
cnf(20,plain,
is_a_theorem(implies(X,X)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,12,cn_18]) ).
cnf(26,plain,
~ is_a_theorem(implies(implies(X,X),implies(not(not(a)),a))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,20,prove_cn_39]) ).
cnf(170,plain,
is_a_theorem(implies(implies(X,implies(not(Y),not(Z))),implies(X,implies(Z,Y)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,10,cn_35]) ).
cnf(184,plain,
~ is_a_theorem(implies(not(not(a)),implies(not(not(a)),a))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,26,cn_35]) ).
cnf(1448,plain,
is_a_theorem(implies(not(X),implies(X,Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,170,cn_18]) ).
cnf(1451,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[condensed_detachment,170,184]),1448]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL077-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.32 % Computer : n028.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Sun Jul 3 12:47:03 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.17/0.43 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.44 *
% 0.17/0.44 *
% 0.17/0.45 #<PACKAGE "SNARK-USER">
% 0.17/0.45 *
% 0.17/0.45 SNARK-TPTP-OPTIONS
% 0.17/0.45 *
% 0.17/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.17/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.17/0.45 (USE-FACTORING :POS)
% 0.17/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.17/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.17/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.17/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.17/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.17/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.17/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.17/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.17/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.17/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.17/0.45 *
% 0.17/0.45 "."
% 0.17/0.45 *
% 0.17/0.45 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T12:47:03
% 0.17/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-07-03T12:47:03
% 0.69/0.88
% 0.69/0.88
% 0.69/0.88 #||
% 0.69/0.88 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.69/0.88 % SZS output start Refutation
% See solution above
% 0.69/0.88 ||#
% 0.69/0.88
% 0.69/0.88 ; Summary of computation:
% 0.69/0.88 ; 2863 formulas have been input or derived (from 81 formulas).
% 0.69/0.88 ; 1451 (51%) were retained. Of these,
% 0.69/0.88 ; 4 ( 0%) were simplified or subsumed later,
% 0.69/0.88 ; 1447 (100%) are still being kept.
% 0.69/0.88 ;
% 0.69/0.88 ; Run time in seconds excluding printing time:
% 0.69/0.88 ; 0.001 0% Read assertion file (1 call)
% 0.69/0.88 ; 0.000 0% Assert (5 calls)
% 0.69/0.88 ; 0.171 40% Process new row (2,404 calls)
% 0.69/0.88 ; 0.090 21% Resolution (160 calls)
% 0.69/0.88 ; 0.009 2% Paramodulation (80 calls)
% 0.69/0.88 ; 0.000 0% Condensing (1 call)
% 0.69/0.88 ; 0.000 0% Forward subsumption (1 call)
% 0.69/0.88 ; 0.000 0% Backward subsumption (1 call)
% 0.69/0.88 ; 0.077 18% Forward simplification (2,403 calls)
% 0.69/0.88 ; 0.041 10% Backward simplification (1,451 calls)
% 0.69/0.88 ; 0.000 0% Sortal reasoning (32 calls)
% 0.69/0.88 ; 0.000 0% Purity testing (1 call)
% 0.69/0.88 ; 0.039 9% Other
% 0.69/0.88 ; 0.428 Total
% 0.69/0.88 ; 0.433 Real time
% 0.69/0.88 ;
% 0.69/0.88 ; Term-hash-array has 3,416 terms in all.
% 0.69/0.88 ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 0.69/0.88 ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 0.69/0.88 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 0.69/0.88 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 0.69/0.88 ; Path-index has 3,408 entries (3,408 at peak, 3,417 added, 9 deleted).
% 0.69/0.88 ; Path-index has 877 nodes (877 at peak, 877 added, 0 deleted).
% 0.69/0.88 ; Trie-index has 3,408 entries (3,408 at peak, 3,417 added, 9 deleted).
% 0.69/0.88 ; Trie-index has 7,350 nodes (7,350 at peak, 7,380 added, 30 deleted).
% 0.69/0.88 ; Retrieved 27,281 generalization terms in 2,401 calls.
% 0.69/0.88 ; Retrieved 4,415 instance terms in 1,449 calls.
% 0.69/0.88 ; Retrieved 143,249 unifiable terms in 1,732 calls.
% 0.69/0.88 ;
% 0.69/0.88 ; The agenda of rows to process has 79 entries:
% 0.69/0.88 ; 2 with value 23 3 with value 29 5 with value 34
% 0.69/0.88 ; 9 with value 24 1 with value 30 8 with value 35
% 0.69/0.88 ; 6 with value 25 5 with value 31 13 with value 36
% 0.69/0.88 ; 1 with value 26 2 with value 32 9 with value 37
% 0.69/0.88 ; 1 with value 27 8 with value 33 2 with value 38
% 0.69/0.88 ; 4 with value 28
% 0.69/0.88 ; The agenda of rows to give has 1367 entries:
% 0.69/0.88 ; 1 with value (4 13) 84 with value (4 26) 116 with value (4 33)
% 0.69/0.88 ; 1 with value (4 20) 73 with value (4 27) 147 with value (4 34)
% 0.69/0.88 ; 5 with value (4 21) 86 with value (4 28) 81 with value (4 35)
% 0.69/0.88 ; 26 with value (4 22) 108 with value (4 29) 42 with value (4 36)
% 0.69/0.88 ; 42 with value (4 23) 132 with value (4 30) 18 with value (4 37)
% 0.69/0.88 ; 58 with value (4 24) 122 with value (4 31) 1 with value (4 38)
% 0.69/0.88 ; 45 with value (4 25) 179 with value (4 32)
% 0.69/0.88 Evaluation took:
% 0.69/0.88 0.433 seconds of real time
% 0.69/0.88 0.408421 seconds of user run time
% 0.69/0.88 0.020938 seconds of system run time
% 0.69/0.88 [Run times include 0.018 seconds GC run time.]
% 0.69/0.88 0 calls to %EVAL
% 0.69/0.88 0 page faults and
% 0.69/0.88 24,861,632 bytes consed.
% 0.69/0.88 :PROOF-FOUND
% 0.69/0.88 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T12:47:04
% 0.69/0.88 :PROOF-FOUND
% 0.69/0.88 *
%------------------------------------------------------------------------------