TSTP Solution File: NUM340+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM340+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 14:07:55 EDT 2022
% Result : Theorem 29.83s 30.03s
% Output : Refutation 29.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 9
% Syntax : Number of clauses : 12 ( 9 unt; 0 nHn; 12 RR)
% Number of literals : 20 ( 0 equ; 10 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-1 aty)
% Number of variables : 16 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
rdn_translate(n0,rdn_pos(rdnn(n0))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn0) ).
cnf(129,axiom,
rdn_translate(nn1,rdn_neg(rdnn(n1))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdnn1) ).
cnf(266,axiom,
rdn_positive_less(rdnn(n0),rdnn(n1)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less01) ).
cnf(293,axiom,
( ~ rdn_translate(X,rdn_pos(Y))
| ~ rdn_translate(Z,rdn_neg(U))
| ~ rdn_positive_less(Y,U)
| ~ rdn_add_with_carry(rdnn(n0),Y,V,U)
| ~ rdn_translate(W,rdn_neg(V))
| sum(X,Z,W) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax',sum_entry_point_pos_neg_1) ).
cnf(300,axiom,
( ~ sum(X,Y,Z)
| difference(Z,X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax',minus_entry_point) ).
cnf(302,axiom,
( ~ rdn_digit_add(rdnn(X),rdnn(Y),rdnn(Z),rdnn(n0))
| ~ rdn_digit_add(rdnn(Z),rdnn(U),rdnn(V),rdnn(n0))
| rdn_add_with_carry(rdnn(U),rdnn(X),rdnn(Y),rdnn(V)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax',add_digit_digit_digit) ).
cnf(308,axiom,
rdn_digit_add(rdnn(n0),rdnn(n1),rdnn(n1),rdnn(n0)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n0_n1_n1_n0) ).
cnf(317,axiom,
rdn_digit_add(rdnn(n1),rdnn(n0),rdnn(n1),rdnn(n0)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n1_n0_n1_n0) ).
cnf(407,negated_conjecture,
~ difference(X,n0,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diff_zero_identity) ).
cnf(419,plain,
~ sum(n0,X,X),
inference('UR-RESOLVE',[status(thm)],[300,407]) ).
cnf(16976,plain,
rdn_add_with_carry(rdnn(n0),rdnn(n0),rdnn(n1),rdnn(n1)),
inference('HYPERRESOLVE',[status(thm)],[302,308,317]) ).
cnf(67568,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[293,419,1,129,266,129]),16976]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM340+1 : TPTP v8.1.0. Released v3.1.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % 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 07:53:12 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)
% 0.19/0.46 (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 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-05T07:53:12
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-07-05T07:53:12
% 0.35/0.54
% 29.83/30.03 ; Recognized relation functionality assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?X ?Y ?U)) (= ?Z ?U)).
% 29.83/30.03
% 29.83/30.03 #||
% 29.83/30.03 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 29.83/30.03 % SZS output start Refutation
% See solution above
% 29.83/30.03 ||#
% 29.83/30.03
% 29.83/30.03 ; Summary of computation:
% 29.83/30.03 ; 183783 formulas have been input or derived (from 16821 formulas).
% 29.83/30.03 ; 67568 (37%) were retained. Of these,
% 29.83/30.03 ; 67568 (100%) are still being kept.
% 29.83/30.03 ;
% 29.83/30.03 ; Run time in seconds excluding printing time:
% 29.83/30.03 ; 0.060 0% Read assertion file (1 call)
% 29.83/30.03 ; 0.004 0% Assert (402 calls)
% 29.83/30.03 ; 1.985 7% Process new row (101,624 calls)
% 29.83/30.03 ; 25.898 88% Resolution (33,640 calls)
% 29.83/30.03 ; 0.053 0% Paramodulation (16,820 calls)
% 29.83/30.03 ; 0.000 0% Factoring (1 call)
% 29.83/30.03 ; 0.000 0% Condensing (36 calls)
% 29.83/30.03 ; 0.001 0% Forward subsumption (36 calls)
% 29.83/30.03 ; 0.000 0% Backward subsumption (33 calls)
% 29.83/30.03 ; 0.000 0% Clause clause subsumption (12 calls)
% 29.83/30.03 ; 0.776 3% Forward simplification (101,624 calls)
% 29.83/30.03 ; 0.279 1% Backward simplification (67,568 calls)
% 29.83/30.03 ; 0.065 0% Ordering (65,637 calls)
% 29.83/30.03 ; 0.000 0% Sortal reasoning (32 calls)
% 29.83/30.03 ; 0.000 0% Purity testing (1 call)
% 29.83/30.03 ; 0.444 2% Other
% 29.83/30.03 ; 29.565 Total
% 29.83/30.03 ; 29.565 Real time
% 29.83/30.03 ;
% 29.83/30.03 ; Term-hash-array has 68,030 terms in all.
% 29.83/30.03 ; Feature-vector-row-index has 33 entries (33 at peak, 33 added, 0 deleted).
% 29.83/30.03 ; Feature-vector-row-index has 155 nodes (155 at peak, 155 added, 0 deleted).
% 29.83/30.03 ; Retrieved 9 possibly forward subsuming rows in 36 calls.
% 29.83/30.03 ; Retrieved 3 possibly backward subsumed rows in 33 calls.
% 29.83/30.03 ; Path-index has 68,286 entries (68,286 at peak, 68,286 added, 0 deleted).
% 29.83/30.03 ; Path-index has 2,346 nodes (2,346 at peak, 2,346 added, 0 deleted).
% 29.83/30.03 ; Trie-index has 68,286 entries (68,286 at peak, 68,286 added, 0 deleted).
% 29.83/30.03 ; Trie-index has 76,694 nodes (76,694 at peak, 76,694 added, 0 deleted).
% 29.83/30.03 ; Retrieved 99,660 generalization terms in 118,386 calls.
% 29.83/30.03 ; Retrieved 67,540 instance terms in 67,534 calls.
% 29.83/30.03 ; Retrieved 36,220,617 unifiable terms in 6,295,442 calls.
% 29.83/30.03 ;
% 29.83/30.03 ; The agenda of rows to process has 128 entries:
% 29.83/30.03 ; 10 with value 13 90 with value 20 28 with value 27
% 29.83/30.03 ; The agenda of rows to give has 50747 entries:
% 29.83/30.03 ; 49330 with value (4 6) 9 with value (4 11) 9 with value (4 15)
% 29.83/30.03 ; 264 with value (4 8) 220 with value (4 12) 831 with value (4 16)
% 29.83/30.03 ; 10 with value (4 9) 10 with value (4 13) 29 with value (4 23)
% 29.83/30.03 ; 35 with value (4 10)
% 29.83/30.03 Evaluation took:
% 29.83/30.03 29.566 seconds of real time
% 29.83/30.03 28.902372 seconds of user run time
% 29.83/30.03 0.664273 seconds of system run time
% 29.83/30.03 [Run times include 2.024 seconds GC run time.]
% 29.83/30.03 0 calls to %EVAL
% 29.83/30.03 0 page faults and
% 29.83/30.03 2,813,144,392 bytes consed.
% 29.83/30.03 :PROOF-FOUND
% 29.83/30.03 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-05T07:53:42
% 29.83/30.03 :PROOF-FOUND
% 29.83/30.03 *
%------------------------------------------------------------------------------