%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM334+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 14:07:53 EDT 2022
% Result : Theorem 29.72s 29.91s
% Output : Refutation 29.72s
% 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 : 19 ( 0 equ; 9 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 14 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
rdn_translate(n2,rdn_pos(rdnn(n2))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn2) ).
cnf(6,axiom,
rdn_translate(n5,rdn_pos(rdnn(n5))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn5) ).
cnf(8,axiom,
rdn_translate(n7,rdn_pos(rdnn(n7))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn7) ).
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(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(359,axiom,
rdn_digit_add(rdnn(n5),rdnn(n2),rdnn(n7),rdnn(n0)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n5_n2_n7_n0) ).
cnf(377,axiom,
rdn_digit_add(rdnn(n7),rdnn(n0),rdnn(n7),rdnn(n0)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n7_n0_n7_n0) ).
cnf(407,negated_conjecture,
~ difference(n7,n5,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diff_n7_n5_n2) ).
cnf(419,plain,
~ sum(n5,n2,n7),
inference('UR-RESOLVE',[status(thm)],[300,407]) ).
cnf(17160,plain,
rdn_add_with_carry(rdnn(n0),rdnn(n5),rdnn(n2),rdnn(n7)),
inference('HYPERRESOLVE',[status(thm)],[302,359,377]) ).
cnf(67568,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[291,419,6,3,8]),17160]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : NUM334+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n029.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 : Wed Jul 6 17:22:13 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (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 2022-07-06T17:22:13
% 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 2022-07-06T17:22:13
% 0.19/0.54
% 29.72/29.91 ; Recognized relation functionality assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?X ?Y ?U)) (= ?Z ?U)).
% 29.72/29.91
% 29.72/29.91 #||
% 29.72/29.91 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 29.72/29.91 % SZS output start Refutation
% See solution above
% 29.72/29.91 ||#
% 29.72/29.91
% 29.72/29.91 ; Summary of computation:
% 29.72/29.91 ; 183654 formulas have been input or derived (from 16821 formulas).
% 29.72/29.91 ; 67568 (37%) were retained. Of these,
% 29.72/29.91 ; 67568 (100%) are still being kept.
% 29.72/29.91 ;
% 29.72/29.91 ; Run time in seconds excluding printing time:
% 29.72/29.91 ; 0.060 0% Read assertion file (1 call)
% 29.72/29.91 ; 0.005 0% Assert (402 calls)
% 29.72/29.91 ; 2.424 8% Process new row (101,623 calls)
% 29.72/29.91 ; 25.531 87% Resolution (33,640 calls)
% 29.72/29.91 ; 0.049 0% Paramodulation (16,820 calls)
% 29.72/29.91 ; 0.000 0% Factoring (1 call)
% 29.72/29.91 ; 0.002 0% Condensing (36 calls)
% 29.72/29.91 ; 0.000 0% Forward subsumption (36 calls)
% 29.72/29.91 ; 0.000 0% Backward subsumption (33 calls)
% 29.72/29.91 ; 0.000 0% Clause clause subsumption (12 calls)
% 29.72/29.91 ; 0.634 2% Forward simplification (101,623 calls)
% 29.72/29.91 ; 0.239 1% Backward simplification (67,568 calls)
% 29.72/29.91 ; 0.083 0% Ordering (65,637 calls)
% 29.72/29.91 ; 0.001 0% Sortal reasoning (32 calls)
% 29.72/29.91 ; 0.001 0% Purity testing (1 call)
% 29.72/29.91 ; 0.406 1% Other
% 29.72/29.91 ; 29.435 Total
% 29.72/29.91 ; 29.443 Real time
% 29.72/29.91 ;
% 29.72/29.91 ; Term-hash-array has 68,030 terms in all.
% 29.72/29.91 ; Feature-vector-row-index has 33 entries (33 at peak, 33 added, 0 deleted).
% 29.72/29.91 ; Feature-vector-row-index has 155 nodes (155 at peak, 155 added, 0 deleted).
% 29.72/29.91 ; Retrieved 9 possibly forward subsuming rows in 36 calls.
% 29.72/29.91 ; Retrieved 3 possibly backward subsumed rows in 33 calls.
% 29.72/29.91 ; Path-index has 68,286 entries (68,286 at peak, 68,286 added, 0 deleted).
% 29.72/29.91 ; Path-index has 2,349 nodes (2,349 at peak, 2,349 added, 0 deleted).
% 29.72/29.91 ; Trie-index has 68,286 entries (68,286 at peak, 68,286 added, 0 deleted).
% 29.72/29.91 ; Trie-index has 76,694 nodes (76,694 at peak, 76,694 added, 0 deleted).
% 29.72/29.91 ; Retrieved 99,659 generalization terms in 118,385 calls.
% 29.72/29.91 ; Retrieved 67,540 instance terms in 67,534 calls.
% 29.72/29.91 ; Retrieved 36,199,805 unifiable terms in 6,294,019 calls.
% 29.72/29.91 ;
% 29.72/29.91 ; The agenda of rows to give has 50747 entries:
% 29.72/29.91 ; 49330 with value (4 6) 9 with value (4 11) 9 with value (4 15)
% 29.72/29.91 ; 264 with value (4 8) 220 with value (4 12) 831 with value (4 16)
% 29.72/29.91 ; 10 with value (4 9) 10 with value (4 13) 29 with value (4 23)
% 29.72/29.91 ; 35 with value (4 10)
% 29.72/29.91 Evaluation took:
% 29.72/29.91 29.444 seconds of real time
% 29.72/29.91 28.731129 seconds of user run time
% 29.72/29.91 0.706081 seconds of system run time
% 29.72/29.91 [Run times include 2.066 seconds GC run time.]
% 29.72/29.91 0 calls to %EVAL
% 29.72/29.91 0 page faults and
% 29.72/29.91 2,813,018,672 bytes consed.
% 29.72/29.91 :PROOF-FOUND
% 29.72/29.91 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-06T17:22:43
% 29.72/29.91 :PROOF-FOUND
% 29.72/29.91 *
%------------------------------------------------------------------------------