TSTP Solution File: SWV488+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWV488+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n027.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 : Wed Jul 20 21:34:33 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 7
% Syntax : Number of clauses : 12 ( 9 unt; 0 nHn; 11 RR)
% Number of literals : 23 ( 7 equ; 12 neg)
% Maximal clause size : 7 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
( int_leq(X,Y)
| X != Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',int_leq) ).
cnf(15,axiom,
real_zero != real_one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',real_constants) ).
cnf(17,hypothesis,
( ~ int_leq(int_one,X)
| ~ int_leq(X,n)
| ~ int_leq(int_one,Y)
| ~ int_leq(Y,n)
| ~ int_leq(int_one,Z)
| ~ int_leq(Z,Y)
| a(Z,Z) = real_one ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qii) ).
cnf(18,plain,
( ~ int_leq(int_one,X)
| ~ int_leq(X,n)
| ~ int_leq(int_one,Y)
| ~ int_leq(Y,X)
| a(Y,Y) = real_one ),
inference('CONDENSE',[status(thm)],[17]) ).
cnf(20,negated_conjecture,
int_leq(int_one,'SKOLEMAAAU3'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',uti) ).
cnf(22,negated_conjecture,
int_leq('SKOLEMAAAU2',n),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',uti) ).
cnf(23,negated_conjecture,
'SKOLEMAAAU2' = 'SKOLEMAAAU3',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',uti) ).
cnf(24,negated_conjecture,
a('SKOLEMAAAU2','SKOLEMAAAU3') = real_zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',uti) ).
cnf(25,plain,
a('SKOLEMAAAU2','SKOLEMAAAU2') = real_zero,
inference('REWRITE',[status(thm)],[24,23,theory(equality)]) ).
cnf(26,plain,
int_leq(int_one,'SKOLEMAAAU2'),
inference('REWRITE',[status(thm)],[20,23,theory(equality)]) ).
cnf(29,plain,
int_leq(X,X),
inference('HYPERRESOLVE',[status(thm)],[3,theory(equality)]) ).
cnf(55,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[18,29,26,22,26]),15,25,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV488+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.14/0.33 % Computer : n027.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.33 % DateTime : Thu Jun 16 00:50:05 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.46 #<PACKAGE "SNARK-USER">
% 0.20/0.46 *
% 0.20/0.46 SNARK-TPTP-OPTIONS
% 0.20/0.46 *
% 0.20/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46 (USE-FACTORING :POS)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46 *
% 0.20/0.46 "."
% 0.20/0.46 *
% 0.20/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T00:50:05
% 0.20/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-16T00:50:05
% 0.20/0.48
% 0.20/0.48 ; Recognized commutativity assertion (= (|plus| ?X ?Y) (|plus| ?Y ?X)).
% 0.20/0.48 ; Recognized right identity assertion (= (|plus| ?X |int_zero|) ?X).
% 0.20/0.51 ; Declaring plus to be commutative.
% 0.20/0.51
% 0.20/0.51 #||
% 0.20/0.51 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.51 % SZS output start Refutation
% See solution above
% 0.20/0.51 ||#
% 0.20/0.51
% 0.20/0.51 ; Summary of computation:
% 0.20/0.51 ; 120 formulas have been input or derived (from 26 formulas).
% 0.20/0.51 ; 55 (46%) were retained. Of these,
% 0.20/0.51 ; 6 (11%) were simplified or subsumed later,
% 0.20/0.51 ; 49 (89%) are still being kept.
% 0.20/0.51 ;
% 0.20/0.51 ; Run time in seconds excluding printing time:
% 0.20/0.51 ; 0.004 9% Read assertion file (1 call)
% 0.20/0.51 ; 0.001 2% Assert (13 calls)
% 0.20/0.51 ; 0.006 13% Process new row (97 calls)
% 0.20/0.51 ; 0.006 13% Resolution (50 calls)
% 0.20/0.51 ; 0.001 2% Paramodulation (25 calls)
% 0.20/0.51 ; 0.000 0% Factoring (1 call)
% 0.20/0.51 ; 0.001 2% Condensing (33 calls)
% 0.20/0.51 ; 0.000 0% Forward subsumption (33 calls)
% 0.20/0.51 ; 0.001 2% Backward subsumption (31 calls)
% 0.20/0.51 ; 0.000 0% Clause clause subsumption (27 calls)
% 0.20/0.51 ; 0.000 0% Forward simplification (97 calls)
% 0.20/0.51 ; 0.002 4% Backward simplification (53 calls)
% 0.20/0.51 ; 0.000 0% Ordering (51 calls)
% 0.20/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.51 ; 0.000 0% Purity testing (1 call)
% 0.20/0.51 ; 0.023 51% Other
% 0.20/0.51 ; 0.045 Total
% 0.20/0.51 ; 0.046 Real time
% 0.20/0.51 ;
% 0.20/0.51 ; Term-hash-array has 92 terms in all.
% 0.20/0.51 ; Feature-vector-row-index has 31 entries (31 at peak, 31 added, 0 deleted).
% 0.20/0.51 ; Feature-vector-row-index has 106 nodes (106 at peak, 106 added, 0 deleted).
% 0.20/0.51 ; Retrieved 24 possibly forward subsuming rows in 33 calls.
% 0.20/0.51 ; Retrieved 4 possibly backward subsumed rows in 31 calls.
% 0.20/0.51 ; Path-index has 95 entries (95 at peak, 99 added, 4 deleted).
% 0.20/0.51 ; Path-index has 110 nodes (110 at peak, 115 added, 5 deleted).
% 0.20/0.51 ; Trie-index has 95 entries (95 at peak, 99 added, 4 deleted).
% 0.20/0.51 ; Trie-index has 145 nodes (145 at peak, 151 added, 6 deleted).
% 0.20/0.51 ; Retrieved 156 generalization terms in 228 calls.
% 0.20/0.51 ; Retrieved 43 instance terms in 21 calls.
% 0.20/0.51 ; Retrieved 4,414 unifiable terms in 704 calls.
% 0.20/0.51 ;
% 0.20/0.51 ; The agenda of rows to process has 10 entries:
% 0.20/0.51 ; 3 with value 9 1 with value 11 4 with value 16
% 0.20/0.51 ; 1 with value 10 1 with value 15
% 0.20/0.51 ; The agenda of rows to give has 24 entries:
% 0.20/0.51 ; 3 with value (4 5) 2 with value (4 12) 1 with value (4 15)
% 0.20/0.51 ; 4 with value (4 8) 3 with value (4 13) 2 with value (4 43)
% 0.20/0.51 ; 7 with value (4 9) 2 with value (4 14)
% 0.20/0.51 Evaluation took:
% 0.20/0.51 0.047 seconds of real time
% 0.20/0.51 0.044751 seconds of user run time
% 0.20/0.51 0.002193 seconds of system run time
% 0.20/0.51 0 calls to %EVAL
% 0.20/0.51 0 page faults and
% 0.20/0.51 2,722,984 bytes consed.
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T00:50:05
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 *
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