%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM329+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n011.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 14:07:51 EDT 2022
% Result : Theorem 20.90s 21.11s
% Output : Refutation 20.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 7 ( 5 unt; 0 nHn; 7 RR)
% Number of literals : 13 ( 0 equ; 8 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
rdn_translate(n0,rdn_pos(rdnn(n0))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn0) ).
cnf(291,axiom,
( ~ rdn_translate(X,rdn_pos(Y))
| ~ rdn_translate(Z,rdn_pos(U))
| ~ rdn_add_with_carry(rdnn(n0),Y,U,V)
| ~ rdn_translate(W,rdn_pos(V))
| sum(X,Z,W) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax',sum_entry_point_pos_pos) ).
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(307,axiom,
rdn_digit_add(rdnn(n0),rdnn(n0),rdnn(n0),rdnn(n0)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n0_n0_n0_n0) ).
cnf(407,negated_conjecture,
~ sum(X,X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotent_element) ).
cnf(16976,plain,
~ rdn_add_with_carry(rdnn(n0),rdnn(n0),rdnn(n0),rdnn(n0)),
inference('UR-RESOLVE',[status(thm)],[291,1,1,1,407]) ).
cnf(17096,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[302,307,307]),16976]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.15 % Problem : NUM329+1 : TPTP v8.1.0. Released v3.1.0.
% 0.13/0.16 % Command : run-snark %s %d
% 0.16/0.38 % Computer : n011.cluster.edu
% 0.16/0.38 % Model : x86_64 x86_64
% 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38 % Memory : 8042.1875MB
% 0.16/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38 % CPULimit : 300
% 0.16/0.38 % WCLimit : 600
% 0.16/0.38 % DateTime : Thu Jul 7 04:17:23 EDT 2022
% 0.16/0.38 % CPUTime :
% 0.23/0.51 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.52 *
% 0.23/0.52 *
% 0.23/0.53 #<PACKAGE "SNARK-USER">
% 0.23/0.53 *
% 0.23/0.53 SNARK-TPTP-OPTIONS
% 0.23/0.53 *
% 0.23/0.53 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.23/0.53 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.23/0.53 (USE-FACTORING :POS)
% 0.23/0.53 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.23/0.53 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.23/0.53 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.23/0.53 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.23/0.53 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.23/0.53 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.23/0.53 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.23/0.53 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.23/0.53 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.23/0.53 (DECLARE-TPTP-SYMBOLS2))
% 0.23/0.53 *
% 0.23/0.53 "."
% 0.23/0.53 *
% 0.23/0.53 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-07T04:17:24
% 0.23/0.53 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-07-07T04:17:24
% 0.40/0.59
% 20.90/21.11 ; Recognized relation functionality assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?X ?Y ?U)) (= ?Z ?U)).
% 20.90/21.11
% 20.90/21.11 #||
% 20.90/21.11 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.90/21.11 % SZS output start Refutation
% See solution above
% 20.90/21.11 ||#
% 20.90/21.11
% 20.90/21.11 ; Summary of computation:
% 20.90/21.11 ; 34229 formulas have been input or derived (from 403 formulas).
% 20.90/21.11 ; 17096 (50%) were retained. Of these,
% 20.90/21.11 ; 17096 (100%) are still being kept.
% 20.90/21.11 ;
% 20.90/21.11 ; Run time in seconds:
% 20.90/21.11 ; 0.045 0% Read assertion file (1 call)
% 20.90/21.11 ; 0.004 0% Assert (402 calls)
% 20.90/21.11 ; 0.686 3% Process new row (33,783 calls)
% 20.90/21.11 ; 19.539 95% Resolution (804 calls)
% 20.90/21.11 ; 0.005 0% Paramodulation (402 calls)
% 20.90/21.11 ; 0.000 0% Factoring (1 call)
% 20.90/21.11 ; 0.000 0% Condensing (36 calls)
% 20.90/21.11 ; 0.000 0% Forward subsumption (36 calls)
% 20.90/21.11 ; 0.001 0% Backward subsumption (33 calls)
% 20.90/21.11 ; 0.001 0% Clause clause subsumption (12 calls)
% 20.90/21.11 ; 0.105 1% Forward simplification (33,783 calls)
% 20.90/21.11 ; 0.049 0% Backward simplification (17,096 calls)
% 20.90/21.11 ; 0.000 0% Ordering (31 calls)
% 20.90/21.11 ; 0.000 0% Sortal reasoning (32 calls)
% 20.90/21.11 ; 0.000 0% Purity testing (1 call)
% 20.90/21.11 ; 0.142 1% Other
% 20.90/21.11 ; 20.577 Total
% 20.90/21.11 ; 20.578 Real time
% 20.90/21.11 ;
% 20.90/21.11 ; Term-hash-array has 17,555 terms in all.
% 20.90/21.11 ; Feature-vector-row-index has 33 entries (33 at peak, 33 added, 0 deleted).
% 20.90/21.11 ; Feature-vector-row-index has 155 nodes (155 at peak, 155 added, 0 deleted).
% 20.90/21.11 ; Retrieved 9 possibly forward subsuming rows in 36 calls.
% 20.90/21.11 ; Retrieved 3 possibly backward subsumed rows in 33 calls.
% 20.90/21.11 ; Path-index has 17,811 entries (17,811 at peak, 17,811 added, 0 deleted).
% 20.90/21.11 ; Path-index has 1,591 nodes (1,591 at peak, 1,591 added, 0 deleted).
% 20.90/21.11 ; Trie-index has 17,811 entries (17,811 at peak, 17,811 added, 0 deleted).
% 20.90/21.11 ; Trie-index has 22,171 nodes (22,171 at peak, 22,171 added, 0 deleted).
% 20.90/21.11 ; Retrieved 33,219 generalization terms in 33,853 calls.
% 20.90/21.11 ; Retrieved 17,078 instance terms in 17,062 calls.
% 20.90/21.11 ; Retrieved 30,202,648 unifiable terms in 4,464,542 calls.
% 20.90/21.11 ;
% 20.90/21.11 ; The agenda of rows to process has 439 entries:
% 20.90/21.11 ; 439 with value 12
% 20.90/21.11 ; The agenda of input rows to give has 5 entries:
% 20.90/21.11 ; 2 with value 35 1 with value 64 1 with value 68
% 20.90/21.11 ; 1 with value 48
% 20.90/21.11 ; The agenda of rows to give has 16688 entries:
% 20.90/21.11 ; 16403 with value (4 5) 1 with value (4 9) 9 with value (4 15)
% 20.90/21.11 ; 137 with value (4 6) 10 with value (4 12) 90 with value (4 22)
% 20.90/21.11 ; 8 with value (4 8) 1 with value (4 13) 29 with value (4 32)
% 20.90/21.11 Evaluation took:
% 20.90/21.11 20.579 seconds of real time
% 20.90/21.11 20.3527 seconds of user run time
% 20.90/21.11 0.225216 seconds of system run time
% 20.90/21.11 [Run times include 0.846 seconds GC run time.]
% 20.90/21.11 0 calls to %EVAL
% 20.90/21.11 0 page faults and
% 20.90/21.11 1,675,017,544 bytes consed.
% 20.90/21.11 :PROOF-FOUND
% 20.90/21.11 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-07T04:17:44
% 20.90/21.11 :PROOF-FOUND
% 20.90/21.11 *
%------------------------------------------------------------------------------