TSTP Solution File: NUM021-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM021-1 : TPTP v8.1.0. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 : Mon Jul 18 14:06:10 EDT 2022
% Result : Unsatisfiable 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 14 ( 9 unt; 1 nHn; 14 RR)
% Number of literals : 22 ( 0 equ; 11 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 15 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(transitivity_of_less,axiom,
( ~ less(X,Y)
| ~ less(Z,X)
| less(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM001-1.ax',transitivity_of_less) ).
cnf(smaller_number,axiom,
( ~ equalish(add(successor(X),Y),Z)
| less(Y,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM001-1.ax',smaller_number) ).
cnf(less_lemma,axiom,
( ~ less(X,Y)
| equalish(add(successor(predecessor_of_1st_minus_2nd(Y,X)),X),Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM001-1.ax',less_lemma) ).
cnf(divides_only_less_or_equal,axiom,
( ~ divides(X,Y)
| less(X,Y)
| equalish(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM001-2.ax',divides_only_less_or_equal) ).
cnf(transitivity,axiom,
( ~ equalish(X,Y)
| ~ equalish(Y,Z)
| equalish(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).
cnf(b_less_than_c,hypothesis,
less(b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_less_than_c) ).
cnf(b_greater_equal_a,hypothesis,
~ less(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_greater_equal_a) ).
cnf(impossible_c_divides_a,negated_conjecture,
divides(c,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',impossible_c_divides_a) ).
cnf(31,plain,
~ less(c,a),
inference('UR-RESOLVE',[status(thm)],[transitivity_of_less,b_less_than_c,b_greater_equal_a]) ).
cnf(32,plain,
equalish(c,a),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[divides_only_less_or_equal,impossible_c_divides_a]),31]) ).
cnf(52,plain,
~ equalish(add(successor(X),b),a),
inference('UR-RESOLVE',[status(thm)],[smaller_number,b_greater_equal_a]) ).
cnf(55,plain,
equalish(add(successor(predecessor_of_1st_minus_2nd(c,b)),b),c),
inference('HYPERRESOLVE',[status(thm)],[less_lemma,b_less_than_c]) ).
cnf(113,plain,
~ equalish(add(successor(X),b),c),
inference('UR-RESOLVE',[status(thm)],[transitivity,52,32]) ).
cnf(114,plain,
$false,
inference('REWRITE',[status(thm)],[55,113]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM021-1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.10/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jul 5 20:07:14 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/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)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-05T20:07:14
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-07-05T20:07:14
% 0.19/0.48
% 0.19/0.48 ; Recognized commutativity assertion (OR (NOT (|equalish| ?X ?Y)) (|equalish| ?Y ?X)).
% 0.19/0.52 ; Declaring equalish to be commutative.
% 0.19/0.52
% 0.19/0.52 #||
% 0.19/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.52 % SZS output start Refutation
% See solution above
% 0.19/0.53 ||#
% 0.19/0.53
% 0.19/0.53 ; Summary of computation:
% 0.19/0.53 ; 635 formulas have been input or derived (from 44 formulas).
% 0.19/0.53 ; 114 (18%) were retained. Of these,
% 0.19/0.53 ; 1 ( 1%) were simplified or subsumed later,
% 0.19/0.53 ; 113 (99%) are still being kept.
% 0.19/0.53 ;
% 0.19/0.53 ; Run time in seconds excluding printing time:
% 0.19/0.53 ; 0.004 7% Read assertion file (1 call)
% 0.19/0.53 ; 0.001 2% Assert (19 calls)
% 0.19/0.53 ; 0.011 19% Process new row (493 calls)
% 0.19/0.53 ; 0.014 24% Resolution (86 calls)
% 0.19/0.53 ; 0.000 0% Paramodulation (43 calls)
% 0.19/0.53 ; 0.001 2% Condensing (9 calls)
% 0.19/0.53 ; 0.000 0% Forward subsumption (9 calls)
% 0.19/0.53 ; 0.000 0% Backward subsumption (9 calls)
% 0.19/0.53 ; 0.003 5% Forward simplification (493 calls)
% 0.19/0.53 ; 0.001 2% Backward simplification (114 calls)
% 0.19/0.53 ; 0.001 2% Sortal reasoning (32 calls)
% 0.19/0.53 ; 0.000 0% Purity testing (1 call)
% 0.19/0.53 ; 0.023 39% Other
% 0.19/0.53 ; 0.059 Total
% 0.19/0.53 ; 0.061 Real time
% 0.19/0.53 ;
% 0.19/0.53 ; Term-hash-array has 193 terms in all.
% 0.19/0.53 ; Feature-vector-row-index has 9 entries (9 at peak, 9 added, 0 deleted).
% 0.19/0.53 ; Feature-vector-row-index has 26 nodes (26 at peak, 26 added, 0 deleted).
% 0.19/0.53 ; Retrieved 0 possibly forward subsuming rows in 9 calls.
% 0.19/0.53 ; Retrieved 0 possibly backward subsumed rows in 9 calls.
% 0.19/0.53 ; Path-index has 193 entries (197 at peak, 197 added, 4 deleted).
% 0.19/0.53 ; Path-index has 417 nodes (425 at peak, 425 added, 8 deleted).
% 0.19/0.53 ; Trie-index has 193 entries (197 at peak, 197 added, 4 deleted).
% 0.19/0.53 ; Trie-index has 615 nodes (626 at peak, 626 added, 11 deleted).
% 0.19/0.53 ; Retrieved 721 generalization terms in 499 calls.
% 0.19/0.53 ; Retrieved 120 instance terms in 104 calls.
% 0.19/0.53 ; Retrieved 3,325 unifiable terms in 746 calls.
% 0.19/0.53 ;
% 0.19/0.53 ; The agenda of rows to process has 8 entries:
% 0.19/0.53 ; 3 with value 11 1 with value 13 4 with value 14
% 0.19/0.53 ; The agenda of rows to give has 69 entries:
% 0.19/0.53 ; 7 with value (4 10) 14 with value (4 14) 4 with value (4 17)
% 0.19/0.53 ; 13 with value (4 11) 1 with value (4 15) 1 with value (4 19)
% 0.19/0.53 ; 5 with value (4 12) 3 with value (4 16) 1 with value (4 22)
% 0.19/0.53 ; 20 with value (4 13)
% 0.19/0.53 Evaluation took:
% 0.19/0.53 0.061 seconds of real time
% 0.19/0.53 0.052299 seconds of user run time
% 0.19/0.53 0.00907 seconds of system run time
% 0.19/0.53 0 calls to %EVAL
% 0.19/0.53 0 page faults and
% 0.19/0.53 3,455,880 bytes consed.
% 0.19/0.53 :PROOF-FOUND
% 0.19/0.53 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-05T20:07:14
% 0.19/0.53 :PROOF-FOUND
% 0.19/0.53 *
%------------------------------------------------------------------------------