TSTP Solution File: LCL006-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL006-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n003.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 14:19:32 EDT 2022
% Result : Unsatisfiable 2.28s 2.46s
% Output : Refutation 2.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of clauses : 21 ( 20 unt; 0 nHn; 7 RR)
% Number of literals : 23 ( 0 equ; 7 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; 3 con; 0-2 aty)
% Number of variables : 41 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(equivalent(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(ec_4,axiom,
is_a_theorem(equivalent(equivalent(X,Y),equivalent(Y,X))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec_4) ).
cnf(ec_5,axiom,
is_a_theorem(equivalent(equivalent(equivalent(X,Y),Z),equivalent(X,equivalent(Y,Z)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec_5) ).
cnf(prove_ec_1,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(b,c))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ec_1) ).
cnf(5,plain,
is_a_theorem(equivalent(X,equivalent(Y,equivalent(Y,X)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,ec_5,ec_4]) ).
cnf(6,plain,
is_a_theorem(equivalent(equivalent(X,equivalent(Y,Z)),equivalent(equivalent(X,Y),Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,ec_5,ec_4]) ).
cnf(7,plain,
is_a_theorem(equivalent(equivalent(X,Y),equivalent(Z,equivalent(X,equivalent(Y,Z))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,ec_5,ec_5]) ).
cnf(12,plain,
is_a_theorem(equivalent(equivalent(X,equivalent(X,Y)),Y)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,5,ec_4]) ).
cnf(79,plain,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,a),equivalent(b,c)))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,6,prove_ec_1]) ).
cnf(81,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,Y),Z),X),equivalent(Y,Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,6,ec_5]) ).
cnf(181,plain,
is_a_theorem(equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,Y),X)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,7,ec_4]) ).
cnf(183,plain,
is_a_theorem(equivalent(X,equivalent(equivalent(Y,equivalent(Y,Z)),equivalent(Z,X)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,7,12]) ).
cnf(232,plain,
~ is_a_theorem(equivalent(equivalent(equivalent(c,a),equivalent(b,c)),equivalent(a,b))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,79,ec_4]) ).
cnf(334,plain,
is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(equivalent(Z,X),Y),Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,81,ec_4]) ).
cnf(421,plain,
is_a_theorem(equivalent(equivalent(X,equivalent(Y,Z)),equivalent(equivalent(Z,Y),X))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,181,6]) ).
cnf(591,plain,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(b,c),equivalent(c,a)))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,421,232]) ).
cnf(722,plain,
is_a_theorem(equivalent(equivalent(X,equivalent(Y,equivalent(Y,Z))),equivalent(Z,X))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,183,6]) ).
cnf(1023,plain,
is_a_theorem(equivalent(equivalent(X,equivalent(equivalent(X,Y),Z)),equivalent(Y,Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,334,421]) ).
cnf(1581,plain,
~ is_a_theorem(equivalent(a,equivalent(b,equivalent(equivalent(b,c),equivalent(c,a))))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,591,6]) ).
cnf(4199,plain,
is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(Y,Z),equivalent(Z,X))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,1023,722]) ).
cnf(4200,plain,
$false,
inference('REWRITE',[status(thm)],[1581,4199]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL006-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n003.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 : Sun Jul 3 22:12:09 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.46 *
% 0.21/0.46 *
% 0.21/0.47 #<PACKAGE "SNARK-USER">
% 0.21/0.47 *
% 0.21/0.47 SNARK-TPTP-OPTIONS
% 0.21/0.47 *
% 0.21/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.47 (USE-FACTORING :POS)
% 0.21/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.47 *
% 0.21/0.47 "."
% 0.21/0.47 *
% 0.21/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T22:12:09
% 0.21/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n003.cluster.edu at 2022-07-03T22:12:09
% 2.28/2.46
% 2.28/2.46
% 2.28/2.46 #||
% 2.28/2.46 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.28/2.46 % SZS output start Refutation
% See solution above
% 2.28/2.46 ||#
% 2.28/2.46
% 2.28/2.46 ; Summary of computation:
% 2.28/2.46 ; 8970 formulas have been input or derived (from 95 formulas).
% 2.28/2.46 ; 4200 (47%) were retained. Of these,
% 2.28/2.46 ; 3 ( 0%) were simplified or subsumed later,
% 2.28/2.46 ; 4197 (100%) are still being kept.
% 2.28/2.46 ;
% 2.28/2.46 ; Run time in seconds excluding printing time:
% 2.28/2.46 ; 0.001 0% Read assertion file (1 call)
% 2.28/2.46 ; 0.000 0% Assert (4 calls)
% 2.28/2.46 ; 0.446 22% Process new row (8,364 calls)
% 2.28/2.46 ; 0.927 47% Resolution (188 calls)
% 2.28/2.46 ; 0.039 2% Paramodulation (94 calls)
% 2.28/2.46 ; 0.000 0% Condensing (1 call)
% 2.28/2.46 ; 0.000 0% Forward subsumption (1 call)
% 2.28/2.46 ; 0.000 0% Backward subsumption (1 call)
% 2.28/2.46 ; 0.287 14% Forward simplification (8,364 calls)
% 2.28/2.46 ; 0.235 12% Backward simplification (4,200 calls)
% 2.28/2.46 ; 0.000 0% Sortal reasoning (32 calls)
% 2.28/2.46 ; 0.000 0% Purity testing (1 call)
% 2.28/2.46 ; 0.050 3% Other
% 2.28/2.46 ; 1.985 Total
% 2.28/2.46 ; 1.987 Real time
% 2.28/2.46 ;
% 2.28/2.46 ; Term-hash-array has 10,933 terms in all.
% 2.28/2.46 ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 2.28/2.46 ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 2.28/2.46 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 2.28/2.46 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 2.28/2.46 ; Path-index has 10,930 entries (10,936 at peak, 10,936 added, 6 deleted).
% 2.28/2.46 ; Path-index has 3,098 nodes (3,098 at peak, 3,098 added, 0 deleted).
% 2.28/2.46 ; Trie-index has 10,930 entries (10,936 at peak, 10,936 added, 6 deleted).
% 2.28/2.46 ; Trie-index has 30,306 nodes (30,336 at peak, 30,336 added, 30 deleted).
% 2.28/2.46 ; Retrieved 219,916 generalization terms in 8,361 calls.
% 2.28/2.46 ; Retrieved 70,408 instance terms in 4,198 calls.
% 2.28/2.46 ; Retrieved 2,677,767 unifiable terms in 4,871 calls.
% 2.28/2.46 ;
% 2.28/2.46 ; The agenda of rows to process has 131 entries:
% 2.28/2.46 ; 9 with value 22 21 with value 28 10 with value 33
% 2.28/2.46 ; 22 with value 23 1 with value 29 1 with value 34
% 2.28/2.46 ; 8 with value 26 6 with value 31 24 with value 35
% 2.28/2.46 ; 23 with value 27 6 with value 32
% 2.28/2.46 ; The agenda of rows to give has 4102 entries:
% 2.28/2.46 ; 43 with value (4 21) 404 with value (4 27) 414 with value (4 32)
% 2.28/2.46 ; 105 with value (4 22) 401 with value (4 28) 304 with value (4 33)
% 2.28/2.46 ; 90 with value (4 23) 163 with value (4 29) 305 with value (4 34)
% 2.28/2.46 ; 49 with value (4 24) 209 with value (4 30) 782 with value (4 35)
% 2.28/2.46 ; 46 with value (4 25) 426 with value (4 31) 168 with value (4 36)
% 2.28/2.46 ; 193 with value (4 26)
% 2.28/2.46 Evaluation took:
% 2.28/2.46 1.988 seconds of real time
% 2.28/2.46 1.913404 seconds of user run time
% 2.28/2.46 0.073775 seconds of system run time
% 2.28/2.46 [Run times include 0.17 seconds GC run time.]
% 2.28/2.46 0 calls to %EVAL
% 2.28/2.46 0 page faults and
% 2.28/2.46 117,240,480 bytes consed.
% 2.28/2.46 :PROOF-FOUND
% 2.28/2.46 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T22:12:11
% 2.28/2.46 :PROOF-FOUND
% 2.28/2.46 *
%------------------------------------------------------------------------------