TSTP Solution File: NUM335+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM335+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n011.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 41.36s 41.56s
% Output : Refutation 41.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 11
% Syntax : Number of clauses : 15 ( 11 unt; 0 nHn; 15 RR)
% Number of literals : 24 ( 2 equ; 11 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-1 aty)
% Number of variables : 18 ( 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(299,axiom,
( ~ sum(X,Y,Z)
| ~ sum(X,U,Z)
| Y = U ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',unique_RHS) ).
cnf(301,axiom,
( sum(X,Y,Z)
| ~ difference(Z,X,Y) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/NUM005+2.ax',add_digit_digit_digit) ).
cnf(339,axiom,
rdn_digit_add(rdnn(n3),rdnn(n2),rdnn(n5),rdnn(n0)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n3_n2_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,
difference(n5,n3,'SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diff_n5_n3_only_n2) ).
cnf(408,negated_conjecture,
'SKOLEMAAAV1' != n2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diff_n5_n3_only_n2) ).
cnf(420,plain,
sum(n3,'SKOLEMAAAV1',n5),
inference('HYPERRESOLVE',[status(thm)],[301,407]) ).
cnf(17116,plain,
rdn_add_with_carry(rdnn(n0),rdnn(n3),rdnn(n2),rdnn(n5)),
inference('HYPERRESOLVE',[status(thm)],[302,339,357]) ).
cnf(67569,plain,
~ sum(n3,n2,n5),
inference('UR-RESOLVE',[status(thm)],[299,420,408]) ).
cnf(133439,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[291,67569,4,3,6]),17116]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : NUM335+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n011.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Tue Jul 5 16:03:52 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 0.21/0.49 #<PACKAGE "SNARK-USER">
% 0.21/0.49 *
% 0.21/0.49 SNARK-TPTP-OPTIONS
% 0.21/0.49 *
% 0.21/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49 (USE-FACTORING :POS)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49 *
% 0.21/0.49 "."
% 0.21/0.49 *
% 0.21/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T16:03:52
% 0.21/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-07-05T16:03:52
% 0.40/0.56
% 41.36/41.56 ; Recognized relation functionality assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?X ?Y ?U)) (= ?Z ?U)).
% 41.36/41.56
% 41.36/41.56 #||
% 41.36/41.56 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 41.36/41.56 % SZS output start Refutation
% See solution above
% 41.36/41.56 ||#
% 41.36/41.56
% 41.36/41.56 ; Summary of computation:
% 41.36/41.56 ; 401130 formulas have been input or derived (from 66153 formulas).
% 41.36/41.56 ; 133439 (33%) were retained. Of these,
% 41.36/41.56 ; 133439 (100%) are still being kept.
% 41.36/41.56 ;
% 41.36/41.56 ; Run time in seconds excluding printing time:
% 41.36/41.56 ; 0.059 0% Read assertion file (1 call)
% 41.36/41.56 ; 0.007 0% Assert (402 calls)
% 41.36/41.56 ; 5.014 12% Process new row (253,379 calls)
% 41.36/41.56 ; 32.026 78% Resolution (132,304 calls)
% 41.36/41.56 ; 0.212 1% Paramodulation (66,152 calls)
% 41.36/41.56 ; 0.000 0% Factoring (1 call)
% 41.36/41.56 ; 0.001 0% Condensing (36 calls)
% 41.36/41.56 ; 0.000 0% Forward subsumption (36 calls)
% 41.36/41.56 ; 0.000 0% Backward subsumption (33 calls)
% 41.36/41.56 ; 0.001 0% Clause clause subsumption (12 calls)
% 41.36/41.56 ; 1.936 5% Forward simplification (253,379 calls)
% 41.36/41.56 ; 0.465 1% Backward simplification (133,439 calls)
% 41.36/41.56 ; 0.148 0% Ordering (98,439 calls)
% 41.36/41.56 ; 0.001 0% Sortal reasoning (32 calls)
% 41.36/41.56 ; 0.000 0% Purity testing (1 call)
% 41.36/41.56 ; 1.197 3% Other
% 41.36/41.56 ; 41.067 Total
% 41.36/41.56 ; 41.075 Real time
% 41.36/41.56 ;
% 41.36/41.56 ; Term-hash-array has 133,901 terms in all.
% 41.36/41.56 ; Feature-vector-row-index has 33 entries (33 at peak, 33 added, 0 deleted).
% 41.36/41.56 ; Feature-vector-row-index has 155 nodes (155 at peak, 155 added, 0 deleted).
% 41.36/41.56 ; Retrieved 9 possibly forward subsuming rows in 36 calls.
% 41.36/41.56 ; Retrieved 3 possibly backward subsumed rows in 33 calls.
% 41.36/41.56 ; Path-index has 134,158 entries (134,158 at peak, 134,158 added, 0 deleted).
% 41.36/41.56 ; Path-index has 3,233 nodes (3,233 at peak, 3,233 added, 0 deleted).
% 41.36/41.56 ; Trie-index has 134,158 entries (134,158 at peak, 134,158 added, 0 deleted).
% 41.36/41.56 ; Trie-index has 175,731 nodes (175,731 at peak, 175,731 added, 0 deleted).
% 41.36/41.56 ; Retrieved 233,595 generalization terms in 301,795 calls.
% 41.36/41.56 ; Retrieved 133,411 instance terms in 133,405 calls.
% 41.36/41.56 ; Retrieved 39,117,784 unifiable terms in 7,217,478 calls.
% 41.36/41.56 ;
% 41.36/41.56 ; The agenda of rows to give has 67286 entries:
% 41.36/41.56 ; 16656 with value (4 7) 40 with value (4 11) 9 with value (4 15)
% 41.36/41.56 ; 49437 with value (4 8) 220 with value (4 12) 831 with value (4 16)
% 41.36/41.56 ; 10 with value (4 9) 10 with value (4 13) 29 with value (4 23)
% 41.36/41.57 ; 44 with value (4 10)
% 41.36/41.57 Evaluation took:
% 41.36/41.57 41.077 seconds of real time
% 41.36/41.57 39.439556 seconds of user run time
% 41.36/41.57 1.630449 seconds of system run time
% 41.36/41.57 [Run times include 3.672 seconds GC run time.]
% 41.36/41.57 0 calls to %EVAL
% 41.36/41.57 0 page faults and
% 41.36/41.57 3,478,216,768 bytes consed.
% 41.36/41.57 :PROOF-FOUND
% 41.36/41.57 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T16:04:33
% 41.36/41.57 :PROOF-FOUND
% 41.36/41.57 *
%------------------------------------------------------------------------------