TSTP Solution File: SYN334-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SYN334-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n006.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 : Thu Jul 21 11:59:24 EDT 2022
% Result : Unsatisfiable 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of clauses : 16 ( 4 unt; 7 nHn; 7 RR)
% Number of literals : 31 ( 0 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 30 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause1,negated_conjecture,
( ~ f(X,Y)
| f(X,z(X,Y))
| ~ g(Y,z(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
cnf(clause2,negated_conjecture,
( ~ f(X,Y)
| ~ f(X,z(X,Y))
| g(Y,z(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
cnf(clause3,negated_conjecture,
( ~ f(z(X,Y),z(X,Y))
| g(z(X,Y),z(X,Y))
| ~ f(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
cnf(clause4,negated_conjecture,
( f(z(X,Y),z(X,Y))
| f(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
cnf(clause5,negated_conjecture,
( ~ g(z(X,Y),z(X,Y))
| f(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
cnf(clause6,negated_conjecture,
( g(X,Y)
| g(z(X,Y),z(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).
cnf(clause7,negated_conjecture,
( ~ g(X,Y)
| ~ g(z(X,Y),z(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).
cnf(8,plain,
( g(X,Y)
| f(X,Y) ),
inference('HYPERRESOLVE',[status(thm)],[clause5,clause6]) ).
cnf(9,plain,
( f(z(X,Y),z(z(X,Y),z(X,Y)))
| f(X,Y) ),
inference('HYPERRESOLVE',[status(thm)],[clause1,8,clause4]) ).
cnf(11,plain,
( f(X,Y)
| g(z(X,Y),z(z(X,Y),z(X,Y))) ),
inference('HYPERRESOLVE',[status(thm)],[clause2,9,clause4]) ).
cnf(13,plain,
( f(X,Y)
| f(z(z(X,Y),z(z(X,Y),z(X,Y))),z(z(X,Y),z(z(X,Y),z(X,Y)))) ),
inference('HYPERRESOLVE',[status(thm)],[clause7,11,8]) ).
cnf(18,plain,
( f(X,Y)
| g(z(z(X,Y),z(z(X,Y),z(X,Y))),z(z(X,Y),z(z(X,Y),z(X,Y)))) ),
inference('HYPERRESOLVE',[status(thm)],[clause3,13,9]) ).
cnf(20,plain,
f(X,Y),
inference('HYPERRESOLVE',[status(thm)],[clause7,18,11]) ).
cnf(22,plain,
g(z(X,Y),z(X,Y)),
inference('REWRITE',[status(thm)],[clause3,20]) ).
cnf(23,plain,
~ g(X,Y),
inference('REWRITE',[status(thm)],[clause7,22]) ).
cnf(24,plain,
$false,
inference('REWRITE',[status(thm)],[22,23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN334-1 : TPTP v8.1.0. Released v1.2.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n006.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 : Tue Jul 12 04:14:05 EDT 2022
% 0.12/0.33 % 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 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T04:14:05
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-07-12T04:14:05
% 0.19/0.50
% 0.19/0.50
% 0.19/0.50 #||
% 0.19/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.50 % SZS output start Refutation
% See solution above
% 0.19/0.50 ||#
% 0.19/0.50
% 0.19/0.50 ; Summary of computation:
% 0.19/0.50 ; 51 formulas have been input or derived (from 14 formulas).
% 0.19/0.50 ; 24 (47%) were retained. Of these,
% 0.19/0.50 ; 21 (88%) were simplified or subsumed later,
% 0.19/0.50 ; 3 (12%) are still being kept.
% 0.19/0.50 ;
% 0.19/0.50 ; Run time in seconds excluding printing time:
% 0.19/0.50 ; 0.002 6% Read assertion file (1 call)
% 0.19/0.50 ; 0.000 0% Assert (7 calls)
% 0.19/0.50 ; 0.001 3% Process new row (44 calls)
% 0.19/0.50 ; 0.001 3% Resolution (26 calls)
% 0.19/0.50 ; 0.000 0% Paramodulation (13 calls)
% 0.19/0.50 ; 0.001 3% Factoring (8 calls)
% 0.19/0.50 ; 0.000 0% Condensing (38 calls)
% 0.19/0.50 ; 0.003 9% Forward subsumption (38 calls)
% 0.19/0.50 ; 0.001 3% Backward subsumption (19 calls)
% 0.19/0.50 ; 0.001 3% Clause clause subsumption (74 calls)
% 0.19/0.50 ; 0.001 3% Forward simplification (44 calls)
% 0.19/0.50 ; 0.001 3% Backward simplification (24 calls)
% 0.19/0.50 ; 0.000 0% Ordering (22 calls)
% 0.19/0.50 ; 0.001 3% Sortal reasoning (32 calls)
% 0.19/0.50 ; 0.000 0% Purity testing (1 call)
% 0.19/0.50 ; 0.022 63% Other
% 0.19/0.50 ; 0.035 Total
% 0.19/0.50 ; 0.037 Real time
% 0.19/0.50 ;
% 0.19/0.50 ; Term-hash-array has 29 terms in all.
% 0.19/0.50 ; Feature-vector-row-index has 0 entries (19 at peak, 19 added, 19 deleted).
% 0.19/0.50 ; Feature-vector-row-index has 1 node (61 at peak, 61 added, 60 deleted).
% 0.19/0.50 ; Retrieved 101 possibly forward subsuming rows in 38 calls.
% 0.19/0.50 ; Retrieved 6 possibly backward subsumed rows in 19 calls.
% 0.19/0.50 ; Path-index has 2 entries (27 at peak, 30 added, 28 deleted).
% 0.19/0.50 ; Path-index has 248 nodes (404 at peak, 405 added, 157 deleted).
% 0.19/0.50 ; Trie-index has 2 entries (27 at peak, 30 added, 28 deleted).
% 0.19/0.50 ; Trie-index has 7 nodes (503 at peak, 507 added, 500 deleted).
% 0.19/0.50 ; Retrieved 4 generalization terms in 5 calls.
% 0.19/0.50 ; Retrieved 9 instance terms in 4 calls.
% 0.19/0.50 ; Retrieved 233 unifiable terms in 78 calls.
% 0.19/0.50 ;
% 0.19/0.50 ; The agenda of rows to process has 4 entries:
% 0.19/0.50 ; 1 with value 24 1 with value 62 1 with value 208
% 0.19/0.50 ; 1 with value 37
% 0.19/0.50 ; The agenda of input rows to give has 1 entry:
% 0.19/0.50 ; 1 with value 4
% 0.19/0.50 ; The agenda of rows to give has 1 entry:
% 0.19/0.50 ; 1 with value (4 10)
% 0.19/0.50 Evaluation took:
% 0.19/0.50 0.037 seconds of real time
% 0.19/0.50 0.028581 seconds of user run time
% 0.19/0.50 0.009244 seconds of system run time
% 0.19/0.50 0 calls to %EVAL
% 0.19/0.50 0 page faults and
% 0.19/0.50 3,107,600 bytes consed.
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T04:14:05
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 *
%------------------------------------------------------------------------------