TSTP Solution File: NUM323+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM323+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 14:07:49 EDT 2022
% Result : Theorem 14.33s 14.55s
% Output : Refutation 14.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 8
% Syntax : Number of clauses : 10 ( 8 unt; 0 nHn; 10 RR)
% Number of literals : 16 ( 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 : 9 ( 9 usr; 7 con; 0-1 aty)
% Number of variables : 12 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(130,axiom,
rdn_translate(nn2,rdn_neg(rdnn(n2))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn2) ).
cnf(133,axiom,
rdn_translate(nn5,rdn_neg(rdnn(n5))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn5) ).
cnf(135,axiom,
rdn_translate(nn7,rdn_neg(rdnn(n7))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn7) ).
cnf(292,axiom,
( ~ rdn_translate(X,rdn_neg(Y))
| ~ rdn_translate(Z,rdn_neg(U))
| ~ rdn_add_with_carry(rdnn(n0),Y,U,V)
| ~ rdn_translate(W,rdn_neg(V))
| sum(X,Z,W) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',sum_entry_point_neg_neg) ).
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(332,axiom,
rdn_digit_add(rdnn(n2),rdnn(n5),rdnn(n7),rdnn(n0)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n2_n5_n7_n0) ).
cnf(377,axiom,
rdn_digit_add(rdnn(n7),rdnn(n0),rdnn(n7),rdnn(n0)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n7_n0_n7_n0) ).
cnf(407,negated_conjecture,
~ sum(X,nn5,nn7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_what_nn5_nn7) ).
cnf(16973,plain,
~ rdn_add_with_carry(rdnn(n0),rdnn(n2),rdnn(n5),rdnn(n7)),
inference('UR-RESOLVE',[status(thm)],[292,130,133,135,407]) ).
cnf(17224,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[302,332,377]),16973]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM323+1 : TPTP v8.1.0. Released v3.1.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.12/0.32 % Computer : n018.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Fri Jul 8 01:28:55 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.17/0.43 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.44 *
% 0.17/0.44 *
% 0.17/0.45 #<PACKAGE "SNARK-USER">
% 0.17/0.45 *
% 0.17/0.45 SNARK-TPTP-OPTIONS
% 0.17/0.45 *
% 0.17/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.17/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.17/0.45 (USE-FACTORING :POS)
% 0.17/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.17/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.17/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.17/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.17/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.17/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.17/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.17/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.17/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.17/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.17/0.45 *
% 0.17/0.45 "."
% 0.17/0.45 *
% 0.17/0.45 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-08T01:28:55
% 0.17/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-07-08T01:28:55
% 0.17/0.52
% 14.33/14.55 ; Recognized relation functionality assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?X ?Y ?U)) (= ?Z ?U)).
% 14.33/14.55
% 14.33/14.55 #||
% 14.33/14.55 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.33/14.55 % SZS output start Refutation
% See solution above
% 14.33/14.55 ||#
% 14.33/14.55
% 14.33/14.55 ; Summary of computation:
% 14.33/14.55 ; 34100 formulas have been input or derived (from 403 formulas).
% 14.33/14.55 ; 17224 (51%) were retained. Of these,
% 14.33/14.55 ; 17224 (100%) are still being kept.
% 14.33/14.55 ;
% 14.33/14.55 ; Run time in seconds excluding printing time:
% 14.33/14.55 ; 0.059 0% Read assertion file (1 call)
% 14.33/14.55 ; 0.008 0% Assert (402 calls)
% 14.33/14.55 ; 0.489 3% Process new row (33,784 calls)
% 14.33/14.55 ; 13.255 94% Resolution (804 calls)
% 14.33/14.55 ; 0.006 0% Paramodulation (402 calls)
% 14.33/14.55 ; 0.000 0% Factoring (1 call)
% 14.33/14.55 ; 0.001 0% Condensing (36 calls)
% 14.33/14.55 ; 0.000 0% Forward subsumption (36 calls)
% 14.33/14.55 ; 0.000 0% Backward subsumption (33 calls)
% 14.33/14.55 ; 0.000 0% Clause clause subsumption (12 calls)
% 14.33/14.55 ; 0.114 1% Forward simplification (33,784 calls)
% 14.33/14.55 ; 0.059 0% Backward simplification (17,224 calls)
% 14.33/14.55 ; 0.000 0% Ordering (31 calls)
% 14.33/14.55 ; 0.000 0% Sortal reasoning (32 calls)
% 14.33/14.55 ; 0.001 0% Purity testing (1 call)
% 14.33/14.55 ; 0.106 1% Other
% 14.33/14.55 ; 14.098 Total
% 14.33/14.55 ; 14.104 Real time
% 14.33/14.55 ;
% 14.33/14.55 ; Term-hash-array has 17,682 terms in all.
% 14.33/14.55 ; Feature-vector-row-index has 33 entries (33 at peak, 33 added, 0 deleted).
% 14.33/14.55 ; Feature-vector-row-index has 155 nodes (155 at peak, 155 added, 0 deleted).
% 14.33/14.55 ; Retrieved 9 possibly forward subsuming rows in 36 calls.
% 14.33/14.55 ; Retrieved 3 possibly backward subsumed rows in 33 calls.
% 14.33/14.55 ; Path-index has 17,938 entries (17,938 at peak, 17,938 added, 0 deleted).
% 14.33/14.55 ; Path-index has 1,545 nodes (1,545 at peak, 1,545 added, 0 deleted).
% 14.33/14.55 ; Trie-index has 17,938 entries (17,938 at peak, 17,938 added, 0 deleted).
% 14.33/14.55 ; Trie-index has 21,735 nodes (21,735 at peak, 21,735 added, 0 deleted).
% 14.33/14.55 ; Retrieved 32,965 generalization terms in 33,909 calls.
% 14.33/14.55 ; Retrieved 17,196 instance terms in 17,190 calls.
% 14.33/14.55 ; Retrieved 25,991,699 unifiable terms in 4,464,544 calls.
% 14.33/14.55 ;
% 14.33/14.55 ; The agenda of rows to process has 309 entries:
% 14.33/14.55 ; 309 with value 12
% 14.33/14.55 ; The agenda of input rows to give has 5 entries:
% 14.33/14.55 ; 2 with value 35 1 with value 64 1 with value 68
% 14.33/14.55 ; 1 with value 48
% 14.33/14.55 ; The agenda of rows to give has 16816 entries:
% 14.33/14.55 ; 16403 with value (4 5) 139 with value (4 12) 90 with value (4 16)
% 14.33/14.55 ; 137 with value (4 6) 1 with value (4 13) 29 with value (4 20)
% 14.33/14.55 ; 8 with value (4 8) 9 with value (4 15)
% 14.33/14.55 Evaluation took:
% 14.33/14.55 14.105 seconds of real time
% 14.33/14.55 13.926919 seconds of user run time
% 14.33/14.55 0.173108 seconds of system run time
% 14.33/14.55 [Run times include 0.534 seconds GC run time.]
% 14.33/14.55 0 calls to %EVAL
% 14.33/14.55 0 page faults and
% 14.33/14.55 1,399,107,696 bytes consed.
% 14.33/14.55 :PROOF-FOUND
% 14.33/14.55 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-08T01:29:09
% 14.33/14.55 :PROOF-FOUND
% 14.33/14.55 *
%------------------------------------------------------------------------------