%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM310+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n019.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 14:07:45 EDT 2022
% Result : Theorem 61.30s 61.53s
% Output : Refutation 61.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 13
% Syntax : Number of clauses : 18 ( 13 unt; 0 nHn; 18 RR)
% Number of literals : 30 ( 3 equ; 15 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-1 aty)
% Number of variables : 21 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
rdn_translate(n2,rdn_pos(rdnn(n2))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn2) ).
cnf(4,axiom,
rdn_translate(n3,rdn_pos(rdnn(n3))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn3) ).
cnf(6,axiom,
rdn_translate(n5,rdn_pos(rdnn(n5))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn5) ).
cnf(7,axiom,
rdn_translate(n6,rdn_pos(rdnn(n6))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn6) ).
cnf(271,axiom,
rdn_positive_less(rdnn(n5),rdnn(n6)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less56) ).
cnf(281,axiom,
( ~ rdn_translate(X,rdn_pos(Y))
| ~ rdn_translate(Z,rdn_pos(U))
| ~ rdn_positive_less(Y,U)
| less(X,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',less_entry_point_pos_pos) ).
cnf(285,axiom,
( ~ less(X,Y)
| Y != X ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',less_property) ).
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/sandbox/benchmark/Axioms/NUM005+2.ax',sum_entry_point_pos_pos) ).
cnf(297,axiom,
( ~ sum(X,Y,Z)
| ~ sum(X,Y,U)
| Z = U ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',unique_sum) ).
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/sandbox/benchmark/Axioms/NUM005+2.ax',add_digit_digit_digit) ).
cnf(330,axiom,
rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n2_n3_n5_n0) ).
cnf(357,axiom,
rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n5_n0_n5_n0) ).
cnf(407,negated_conjecture,
sum(n2,n3,n6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_n2_n3_not_n6) ).
cnf(16944,plain,
less(n5,n6),
inference('HYPERRESOLVE',[status(thm)],[281,6,7,271]) ).
cnf(17087,plain,
rdn_add_with_carry(rdnn(n0),rdnn(n2),rdnn(n3),rdnn(n5)),
inference('HYPERRESOLVE',[status(thm)],[302,330,357]) ).
cnf(67428,plain,
n6 != n5,
inference('UR-RESOLVE',[status(thm)],[285,16944]) ).
cnf(133376,plain,
~ sum(n2,n3,n5),
inference('UR-RESOLVE',[status(thm)],[297,67428,407]) ).
cnf(218913,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[291,133376,3,4,6]),17087]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM310+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n019.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 : Wed Jul 6 05:00:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.48 #<PACKAGE "SNARK-USER">
% 0.19/0.48 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T05:00:38
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-07-06T05:00:38
% 0.38/0.55
% 61.30/61.53 ; Recognized relation functionality assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?X ?Y ?U)) (= ?Z ?U)).
% 61.30/61.53
% 61.30/61.53 #||
% 61.30/61.53 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 61.30/61.53 % SZS output start Refutation
% See solution above
% 61.30/61.53 ||#
% 61.30/61.53
% 61.30/61.53 ; Summary of computation:
% 61.30/61.53 ; 639035 formulas have been input or derived (from 132414 formulas).
% 61.30/61.53 ; 218913 (34%) were retained. Of these,
% 61.30/61.53 ; 1 ( 0%) were simplified or subsumed later,
% 61.30/61.53 ; 218912 (100%) are still being kept.
% 61.30/61.53 ;
% 61.30/61.53 ; Run time in seconds excluding printing time:
% 61.30/61.53 ; 0.059 0% Read assertion file (1 call)
% 61.30/61.53 ; 0.007 0% Assert (402 calls)
% 61.30/61.53 ; 10.371 17% Process new row (490,514 calls)
% 61.30/61.53 ; 43.645 72% Resolution (264,826 calls)
% 61.30/61.53 ; 0.572 1% Paramodulation (132,413 calls)
% 61.30/61.53 ; 0.001 0% Factoring (1 call)
% 61.30/61.53 ; 0.001 0% Condensing (164 calls)
% 61.30/61.53 ; 0.003 0% Forward subsumption (164 calls)
% 61.30/61.53 ; 0.031 0% Backward subsumption (160 calls)
% 61.30/61.53 ; 0.000 0% Clause clause subsumption (14 calls)
% 61.30/61.53 ; 3.084 5% Forward simplification (490,514 calls)
% 61.30/61.53 ; 0.884 1% Backward simplification (218,913 calls)
% 61.30/61.53 ; 0.149 0% Ordering (98,532 calls)
% 61.30/61.53 ; 0.001 0% Sortal reasoning (32 calls)
% 61.30/61.53 ; 0.001 0% Purity testing (1 call)
% 61.30/61.53 ; 2.231 4% Other
% 61.30/61.53 ; 61.040 Total
% 61.30/61.53 ; 61.057 Real time
% 61.30/61.54 ;
% 61.30/61.54 ; Term-hash-array has 219,501 terms in all.
% 61.30/61.54 ; Feature-vector-row-index has 159 entries (160 at peak, 160 added, 1 deleted).
% 61.30/61.54 ; Feature-vector-row-index has 197 nodes (197 at peak, 197 added, 0 deleted).
% 61.30/61.54 ; Retrieved 744 possibly forward subsuming rows in 164 calls.
% 61.30/61.54 ; Retrieved 735 possibly backward subsumed rows in 160 calls.
% 61.30/61.54 ; Path-index has 219,757 entries (219,757 at peak, 219,758 added, 1 deleted).
% 61.30/61.54 ; Path-index has 3,796 nodes (3,796 at peak, 3,796 added, 0 deleted).
% 61.30/61.54 ; Trie-index has 219,757 entries (219,757 at peak, 219,758 added, 1 deleted).
% 61.30/61.54 ; Trie-index has 323,937 nodes (323,937 at peak, 323,938 added, 1 deleted).
% 61.30/61.54 ; Retrieved 384,599 generalization terms in 537,976 calls.
% 61.30/61.54 ; Retrieved 218,758 instance terms in 218,752 calls.
% 61.30/61.54 ; Retrieved 42,179,192 unifiable terms in 8,835,216 calls.
% 61.30/61.54 ;
% 61.30/61.54 ; The agenda of rows to give has 86498 entries:
% 61.30/61.54 ; 17063 with value (4 8) 10 with value (4 13) 8100 with value (4 22)
% 61.30/61.54 ; 51729 with value (4 9) 105 with value (4 15) 561 with value (4 23)
% 61.30/61.54 ; 44 with value (4 10) 911 with value (4 16) 5040 with value (4 26)
% 61.30/61.54 ; 60 with value (4 11) 1710 with value (4 19) 784 with value (4 29)
% 61.30/61.54 ; 381 with value (4 12)
% 61.30/61.54 Evaluation took:
% 61.30/61.54 61.06 seconds of real time
% 61.30/61.54 58.017048 seconds of user run time
% 61.30/61.54 3.026041 seconds of system run time
% 61.30/61.54 [Run times include 7.811 seconds GC run time.]
% 61.30/61.54 0 calls to %EVAL
% 61.30/61.54 0 page faults and
% 61.30/61.54 4,580,299,552 bytes consed.
% 61.30/61.54 :PROOF-FOUND
% 61.30/61.54 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T05:01:39
% 61.30/61.54 :PROOF-FOUND
% 61.30/61.54 *
%------------------------------------------------------------------------------