TSTP Solution File: NUM311+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM311+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n013.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 29.27s 29.44s
% Output : Refutation 29.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 10
% Syntax : Number of clauses : 13 ( 10 unt; 0 nHn; 13 RR)
% Number of literals : 21 ( 2 equ; 10 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-1 aty)
% Number of variables : 15 ( 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(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,'SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_n2_n3_only_n5) ).
cnf(408,negated_conjecture,
'SKOLEMAAAV1' != n5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_n2_n3_only_n5) ).
cnf(422,plain,
~ sum(n2,n3,n5),
inference('UR-RESOLVE',[status(thm)],[297,407,408]) ).
cnf(17089,plain,
rdn_add_with_carry(rdnn(n0),rdnn(n2),rdnn(n3),rdnn(n5)),
inference('HYPERRESOLVE',[status(thm)],[302,330,357]) ).
cnf(67571,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[291,422,3,4,6]),17089]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM311+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n013.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 07:18:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-07-06T07:18:59
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-07-06T07:18:59
% 0.19/0.55
% 29.27/29.44 ; Recognized relation functionality assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?X ?Y ?U)) (= ?Z ?U)).
% 29.27/29.44
% 29.27/29.44 #||
% 29.27/29.44 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 29.27/29.44 % SZS output start Refutation
% See solution above
% 29.27/29.44 ||#
% 29.27/29.44
% 29.27/29.44 ; Summary of computation:
% 29.27/29.44 ; 183666 formulas have been input or derived (from 16823 formulas).
% 29.27/29.44 ; 67571 (37%) were retained. Of these,
% 29.27/29.44 ; 67571 (100%) are still being kept.
% 29.27/29.44 ;
% 29.27/29.44 ; Run time in seconds excluding printing time:
% 29.27/29.44 ; 0.060 0% Read assertion file (1 call)
% 29.27/29.44 ; 0.008 0% Assert (402 calls)
% 29.27/29.44 ; 2.255 8% Process new row (101,629 calls)
% 29.27/29.44 ; 25.163 87% Resolution (33,644 calls)
% 29.27/29.44 ; 0.062 0% Paramodulation (16,822 calls)
% 29.27/29.44 ; 0.000 0% Factoring (1 call)
% 29.27/29.44 ; 0.000 0% Condensing (36 calls)
% 29.27/29.44 ; 0.002 0% Forward subsumption (36 calls)
% 29.27/29.44 ; 0.001 0% Backward subsumption (33 calls)
% 29.27/29.44 ; 0.001 0% Clause clause subsumption (12 calls)
% 29.27/29.44 ; 0.630 2% Forward simplification (101,629 calls)
% 29.27/29.44 ; 0.257 1% Backward simplification (67,571 calls)
% 29.27/29.44 ; 0.068 0% Ordering (65,637 calls)
% 29.27/29.44 ; 0.001 0% Sortal reasoning (32 calls)
% 29.27/29.44 ; 0.000 0% Purity testing (1 call)
% 29.27/29.44 ; 0.461 2% Other
% 29.27/29.44 ; 28.969 Total
% 29.27/29.44 ; 28.974 Real time
% 29.27/29.45 ;
% 29.27/29.45 ; Term-hash-array has 68,033 terms in all.
% 29.27/29.45 ; Feature-vector-row-index has 33 entries (33 at peak, 33 added, 0 deleted).
% 29.27/29.45 ; Feature-vector-row-index has 155 nodes (155 at peak, 155 added, 0 deleted).
% 29.27/29.45 ; Retrieved 9 possibly forward subsuming rows in 36 calls.
% 29.27/29.45 ; Retrieved 3 possibly backward subsumed rows in 33 calls.
% 29.27/29.45 ; Path-index has 68,290 entries (68,290 at peak, 68,290 added, 0 deleted).
% 29.27/29.45 ; Path-index has 2,353 nodes (2,353 at peak, 2,353 added, 0 deleted).
% 29.27/29.45 ; Trie-index has 68,290 entries (68,290 at peak, 68,290 added, 0 deleted).
% 29.27/29.45 ; Trie-index has 76,701 nodes (76,701 at peak, 76,701 added, 0 deleted).
% 29.27/29.45 ; Retrieved 99,659 generalization terms in 118,392 calls.
% 29.27/29.45 ; Retrieved 67,543 instance terms in 67,537 calls.
% 29.27/29.45 ; Retrieved 36,199,904 unifiable terms in 6,294,048 calls.
% 29.27/29.45 ;
% 29.27/29.45 ; The agenda of rows to give has 50748 entries:
% 29.27/29.45 ; 49330 with value (4 6) 35 with value (4 10) 9 with value (4 15)
% 29.27/29.45 ; 1 with value (4 7) 9 with value (4 11) 831 with value (4 16)
% 29.27/29.45 ; 264 with value (4 8) 220 with value (4 12) 29 with value (4 23)
% 29.27/29.45 ; 10 with value (4 9) 10 with value (4 13)
% 29.27/29.45 Evaluation took:
% 29.27/29.45 28.975 seconds of real time
% 29.27/29.45 28.237574 seconds of user run time
% 29.27/29.45 0.734756 seconds of system run time
% 29.27/29.45 [Run times include 1.982 seconds GC run time.]
% 29.27/29.45 0 calls to %EVAL
% 29.27/29.45 0 page faults and
% 29.27/29.45 2,813,176,080 bytes consed.
% 29.27/29.45 :PROOF-FOUND
% 29.27/29.45 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T07:19:28
% 29.27/29.45 :PROOF-FOUND
% 29.27/29.45 *
%------------------------------------------------------------------------------