TSTP Solution File: LCL077-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL077-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 0.78s 0.94s
% Output : Refutation 0.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 10 ( 8 unt; 0 nHn; 5 RR)
% Number of literals : 14 ( 0 equ; 6 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 : 18 ( 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(transitivity,axiom,
( ~ is_a_theorem(implies(X,Y))
| ~ is_a_theorem(implies(Y,Z))
| is_a_theorem(implies(X,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity) ).
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(9,plain,
~ is_a_theorem(implies(implies(X,implies(Y,X)),implies(not(not(a)),a))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,cn_18,prove_cn_39]) ).
cnf(18,plain,
is_a_theorem(implies(not(X),implies(X,Y))),
inference('HYPERRESOLVE',[status(thm)],[transitivity,cn_18,cn_49]) ).
cnf(32,plain,
is_a_theorem(implies(not(not(X)),implies(Y,X))),
inference('HYPERRESOLVE',[status(thm)],[transitivity,18,cn_49]) ).
cnf(2260,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,9,cn_35,32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL077-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jul 4 11:16:07 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48 (USE-FACTORING :POS)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.48 *
% 0.21/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T11:16:07
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-07-04T11:16:07
% 0.78/0.94
% 0.78/0.94
% 0.78/0.94 #||
% 0.78/0.94 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.78/0.94 % SZS output start Refutation
% See solution above
% 0.78/0.94 ||#
% 0.78/0.94
% 0.78/0.94 ; Summary of computation:
% 0.78/0.94 ; 4997 formulas have been input or derived (from 95 formulas).
% 0.78/0.94 ; 2260 (45%) were retained. Of these,
% 0.78/0.94 ; 4 ( 0%) were simplified or subsumed later,
% 0.78/0.94 ; 2256 (100%) are still being kept.
% 0.78/0.94 ;
% 0.78/0.94 ; Run time in seconds:
% 0.78/0.94 ; 0.001 0% Read assertion file (1 call)
% 0.78/0.94 ; 0.000 0% Assert (6 calls)
% 0.78/0.94 ; 0.191 41% Process new row (4,407 calls)
% 0.78/0.94 ; 0.083 18% Resolution (188 calls)
% 0.78/0.94 ; 0.010 2% Paramodulation (94 calls)
% 0.78/0.94 ; 0.000 0% Condensing (2 calls)
% 0.78/0.94 ; 0.000 0% Forward subsumption (2 calls)
% 0.78/0.94 ; 0.000 0% Backward subsumption (2 calls)
% 0.78/0.94 ; 0.000 0% Clause clause subsumption (1 call)
% 0.78/0.94 ; 0.084 18% Forward simplification (4,378 calls)
% 0.78/0.94 ; 0.051 11% Backward simplification (2,260 calls)
% 0.78/0.94 ; 0.000 0% Sortal reasoning (32 calls)
% 0.78/0.94 ; 0.000 0% Purity testing (1 call)
% 0.78/0.94 ; 0.041 9% Other
% 0.78/0.94 ; 0.461 Total
% 0.78/0.94 ; 0.462 Real time
% 0.78/0.94 ;
% 0.78/0.94 ; Term-hash-array has 5,348 terms in all.
% 0.78/0.94 ; Feature-vector-row-index has 2 entries (2 at peak, 2 added, 0 deleted).
% 0.78/0.94 ; Feature-vector-row-index has 7 nodes (7 at peak, 7 added, 0 deleted).
% 0.78/0.94 ; Retrieved 1 possibly forward subsuming row in 2 calls.
% 0.78/0.94 ; Retrieved 0 possibly backward subsumed rows in 2 calls.
% 0.78/0.94 ; Path-index has 5,341 entries (5,341 at peak, 5,350 added, 9 deleted).
% 0.78/0.94 ; Path-index has 1,447 nodes (1,447 at peak, 1,447 added, 0 deleted).
% 0.78/0.94 ; Trie-index has 5,341 entries (5,341 at peak, 5,350 added, 9 deleted).
% 0.78/0.94 ; Trie-index has 11,073 nodes (11,073 at peak, 11,089 added, 16 deleted).
% 0.78/0.94 ; Retrieved 31,473 generalization terms in 4,377 calls.
% 0.78/0.94 ; Retrieved 5,201 instance terms in 2,257 calls.
% 0.78/0.94 ; Retrieved 109,883 unifiable terms in 2,953 calls.
% 0.78/0.95 ;
% 0.78/0.95 ; The agenda of rows to process has 70 entries:
% 0.78/0.95 ; 1 with value 5 4 with value 19 2 with value 27
% 0.78/0.95 ; 1 with value 11 3 with value 20 4 with value 28
% 0.78/0.95 ; 3 with value 12 5 with value 21 3 with value 29
% 0.78/0.95 ; 1 with value 13 6 with value 22 4 with value 30
% 0.78/0.95 ; 1 with value 14 3 with value 23 9 with value 31
% 0.78/0.95 ; 4 with value 15 2 with value 24 4 with value 32
% 0.78/0.95 ; 3 with value 17 2 with value 25 1 with value 34
% 0.78/0.95 ; 2 with value 18 2 with value 26
% 0.78/0.95 ; The agenda of rows to give has 2162 entries:
% 0.78/0.95 ; 43 with value (4 18) 176 with value (4 24) 222 with value (4 29)
% 0.78/0.95 ; 38 with value (4 19) 238 with value (4 25) 64 with value (4 30)
% 0.78/0.95 ; 79 with value (4 20) 264 with value (4 26) 54 with value (4 31)
% 0.78/0.95 ; 123 with value (4 21) 292 with value (4 27) 11 with value (4 32)
% 0.78/0.95 ; 109 with value (4 22) 253 with value (4 28) 22 with value (4 33)
% 0.78/0.95 ; 174 with value (4 23)
% 0.78/0.95 Evaluation took:
% 0.78/0.95 0.462 seconds of real time
% 0.78/0.95 0.425178 seconds of user run time
% 0.78/0.95 0.037196 seconds of system run time
% 0.78/0.95 [Run times include 0.025 seconds GC run time.]
% 0.78/0.95 0 calls to %EVAL
% 0.78/0.95 0 page faults and
% 0.78/0.95 32,091,384 bytes consed.
% 0.78/0.95 :PROOF-FOUND
% 0.78/0.95 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T11:16:07
% 0.78/0.95 :PROOF-FOUND
% 0.78/0.95 *
%------------------------------------------------------------------------------