TSTP Solution File: NUM315+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM315+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 14:07:47 EDT 2022
% Result : Theorem 17.68s 17.86s
% Output : Refutation 17.68s
% 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 : 11 ( 0 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(nn2,nn5,nn7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_nn2_nn5_nn7) ).
cnf(16966,plain,
~ rdn_add_with_carry(rdnn(n0),rdnn(n2),rdnn(n5),rdnn(n7)),
inference('UR-RESOLVE',[status(thm)],[292,130,133,135,407]) ).
cnf(17097,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[302,332,377]),16966]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM315+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.11/0.32 % Computer : n020.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Wed Jul 6 10:21:14 EDT 2022
% 0.17/0.33 % CPUTime :
% 0.17/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.46 *
% 0.17/0.46 *
% 0.17/0.47 #<PACKAGE "SNARK-USER">
% 0.17/0.47 *
% 0.17/0.47 SNARK-TPTP-OPTIONS
% 0.17/0.47 *
% 0.17/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.17/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.17/0.47 (USE-FACTORING :POS)
% 0.17/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.17/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.17/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.17/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.17/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.17/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.17/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.17/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.17/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.17/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.17/0.47 *
% 0.17/0.47 "."
% 0.17/0.47 *
% 0.17/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T10:21:14
% 0.17/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-07-06T10:21:14
% 0.17/0.52
% 17.68/17.86 ; Recognized relation functionality assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?X ?Y ?U)) (= ?Z ?U)).
% 17.68/17.86
% 17.68/17.86 #||
% 17.68/17.86 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.68/17.86 % SZS output start Refutation
% See solution above
% 17.68/17.87 ||#
% 17.68/17.87
% 17.68/17.87 ; Summary of computation:
% 17.68/17.87 ; 33973 formulas have been input or derived (from 403 formulas).
% 17.68/17.87 ; 17097 (50%) were retained. Of these,
% 17.68/17.87 ; 17097 (100%) are still being kept.
% 17.68/17.87 ;
% 17.68/17.87 ; Run time in seconds excluding printing time:
% 17.68/17.87 ; 0.036 0% Read assertion file (1 call)
% 17.68/17.87 ; 0.005 0% Assert (402 calls)
% 17.68/17.87 ; 0.533 3% Process new row (33,657 calls)
% 17.68/17.87 ; 16.386 94% Resolution (804 calls)
% 17.68/17.87 ; 0.005 0% Paramodulation (402 calls)
% 17.68/17.87 ; 0.000 0% Factoring (1 call)
% 17.68/17.87 ; 0.002 0% Condensing (36 calls)
% 17.68/17.87 ; 0.001 0% Forward subsumption (36 calls)
% 17.68/17.87 ; 0.000 0% Backward subsumption (33 calls)
% 17.68/17.87 ; 0.000 0% Clause clause subsumption (12 calls)
% 17.68/17.87 ; 0.125 1% Forward simplification (33,657 calls)
% 17.68/17.87 ; 0.044 0% Backward simplification (17,097 calls)
% 17.68/17.87 ; 0.000 0% Ordering (31 calls)
% 17.68/17.87 ; 0.001 0% Sortal reasoning (32 calls)
% 17.68/17.87 ; 0.000 0% Purity testing (1 call)
% 17.68/17.87 ; 0.251 1% Other
% 17.68/17.87 ; 17.389 Total
% 17.68/17.87 ; 17.397 Real time
% 17.68/17.87 ;
% 17.68/17.87 ; Term-hash-array has 17,555 terms in all.
% 17.68/17.87 ; Feature-vector-row-index has 33 entries (33 at peak, 33 added, 0 deleted).
% 17.68/17.87 ; Feature-vector-row-index has 155 nodes (155 at peak, 155 added, 0 deleted).
% 17.68/17.87 ; Retrieved 9 possibly forward subsuming rows in 36 calls.
% 17.68/17.87 ; Retrieved 3 possibly backward subsumed rows in 33 calls.
% 17.68/17.87 ; Path-index has 17,811 entries (17,811 at peak, 17,811 added, 0 deleted).
% 17.68/17.87 ; Path-index has 1,511 nodes (1,511 at peak, 1,511 added, 0 deleted).
% 17.68/17.87 ; Trie-index has 17,811 entries (17,811 at peak, 17,811 added, 0 deleted).
% 17.68/17.87 ; Trie-index has 21,005 nodes (21,005 at peak, 21,005 added, 0 deleted).
% 17.68/17.87 ; Retrieved 32,965 generalization terms in 33,782 calls.
% 17.68/17.87 ; Retrieved 17,069 instance terms in 17,063 calls.
% 17.68/17.87 ; Retrieved 25,991,553 unifiable terms in 4,464,545 calls.
% 17.68/17.87 ;
% 17.68/17.87 ; The agenda of rows to process has 309 entries:
% 17.68/17.87 ; 309 with value 12
% 17.68/17.87 ; The agenda of input rows to give has 5 entries:
% 17.68/17.87 ; 2 with value 35 1 with value 64 1 with value 68
% 17.68/17.87 ; 1 with value 48
% 17.68/17.87 ; The agenda of rows to give has 16689 entries:
% 17.68/17.87 ; 16403 with value (4 5) 8 with value (4 8) 1 with value (4 13)
% 17.68/17.87 ; 137 with value (4 6) 131 with value (4 12) 9 with value (4 15)
% 17.68/17.87 Evaluation took:
% 17.68/17.87 17.398 seconds of real time
% 17.68/17.87 17.19186 seconds of user run time
% 17.68/17.87 0.202936 seconds of system run time
% 17.68/17.87 [Run times include 0.797 seconds GC run time.]
% 17.68/17.87 0 calls to %EVAL
% 17.68/17.87 0 page faults and
% 17.68/17.87 1,398,720,848 bytes consed.
% 17.68/17.87 :PROOF-FOUND
% 17.68/17.87 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T10:21:31
% 17.68/17.87 :PROOF-FOUND
% 17.68/17.87 *
%------------------------------------------------------------------------------