%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM344+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n015.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 14:07:56 EDT 2022
% Result : Theorem 31.24s 31.43s
% Output : Refutation 31.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 11 ( 7 unt; 0 nHn; 11 RR)
% Number of literals : 19 ( 0 equ; 10 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-1 aty)
% Number of variables : 14 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
rdn_translate(n0,rdn_pos(rdnn(n0))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn0) ).
cnf(2,axiom,
rdn_translate(n1,rdn_pos(rdnn(n1))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn1) ).
cnf(129,axiom,
rdn_translate(nn1,rdn_neg(rdnn(n1))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdnn1) ).
cnf(282,axiom,
( ~ rdn_translate(X,rdn_neg(Y))
| ~ rdn_translate(Z,rdn_pos(U))
| less(X,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',less_entry_point_neg_pos) ).
cnf(295,axiom,
( ~ rdn_translate(X,rdn_pos(Y))
| ~ rdn_translate(Z,rdn_neg(Y))
| sum(X,Z,n0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax',sum_entry_point_posx_negx) ).
cnf(296,axiom,
( ~ rdn_translate(X,rdn_neg(Y))
| ~ rdn_translate(Z,rdn_pos(U))
| ~ sum(Z,X,V)
| sum(X,Z,V) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax',sum_entry_point_neg_pos) ).
cnf(407,negated_conjecture,
( ~ sum(X,n1,Y)
| ~ less(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exist_bigger_plus_one) ).
cnf(16812,plain,
less(nn1,n0),
inference('HYPERRESOLVE',[status(thm)],[282,129,1]) ).
cnf(16939,plain,
sum(n1,nn1,n0),
inference('HYPERRESOLVE',[status(thm)],[295,2,129]) ).
cnf(83800,plain,
~ sum(nn1,n1,n0),
inference('UR-RESOLVE',[status(thm)],[407,16812]) ).
cnf(84220,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[296,16939,129,2]),83800]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : NUM344+1 : TPTP v8.1.0. Released v3.1.0.
% 0.08/0.14 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Tue Jul 5 11:46:17 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.49 #<PACKAGE "SNARK-USER">
% 0.20/0.49 *
% 0.20/0.49 SNARK-TPTP-OPTIONS
% 0.20/0.49 *
% 0.20/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49 (USE-FACTORING :POS)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49 *
% 0.20/0.49 "."
% 0.20/0.49 *
% 0.20/0.49 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-05T11:46:17
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-07-05T11:46:17
% 0.20/0.57
% 31.24/31.43 ; Recognized relation functionality assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?X ?Y ?U)) (= ?Z ?U)).
% 31.24/31.43
% 31.24/31.43 #||
% 31.24/31.43 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 31.24/31.43 % SZS output start Refutation
% See solution above
% 31.24/31.43 ||#
% 31.24/31.43
% 31.24/31.43 ; Summary of computation:
% 31.24/31.43 ; 202084 formulas have been input or derived (from 16947 formulas).
% 31.24/31.43 ; 84220 (42%) were retained. Of these,
% 31.24/31.43 ; 84220 (100%) are still being kept.
% 31.24/31.43 ;
% 31.24/31.43 ; Run time in seconds:
% 31.24/31.43 ; 0.059 0% Read assertion file (1 call)
% 31.24/31.43 ; 0.006 0% Assert (402 calls)
% 31.24/31.43 ; 2.846 9% Process new row (119,669 calls)
% 31.24/31.43 ; 26.209 85% Resolution (33,892 calls)
% 31.24/31.43 ; 0.053 0% Paramodulation (16,946 calls)
% 31.24/31.43 ; 0.000 0% Factoring (1 call)
% 31.24/31.43 ; 0.001 0% Condensing (37 calls)
% 31.24/31.43 ; 0.000 0% Forward subsumption (37 calls)
% 31.24/31.43 ; 0.000 0% Backward subsumption (34 calls)
% 31.24/31.43 ; 0.001 0% Clause clause subsumption (13 calls)
% 31.24/31.43 ; 0.780 3% Forward simplification (119,669 calls)
% 31.24/31.43 ; 0.369 1% Backward simplification (84,220 calls)
% 31.24/31.43 ; 0.084 0% Ordering (65,637 calls)
% 31.24/31.43 ; 0.000 0% Sortal reasoning (32 calls)
% 31.24/31.43 ; 0.001 0% Purity testing (1 call)
% 31.24/31.43 ; 0.532 2% Other
% 31.24/31.43 ; 30.941 Total
% 31.24/31.43 ; 30.942 Real time
% 31.24/31.43 ;
% 31.24/31.43 ; Term-hash-array has 84,681 terms in all.
% 31.24/31.44 ; Feature-vector-row-index has 34 entries (34 at peak, 34 added, 0 deleted).
% 31.24/31.44 ; Feature-vector-row-index has 158 nodes (158 at peak, 158 added, 0 deleted).
% 31.24/31.44 ; Retrieved 9 possibly forward subsuming rows in 37 calls.
% 31.24/31.44 ; Retrieved 4 possibly backward subsumed rows in 34 calls.
% 31.24/31.44 ; Path-index has 84,937 entries (84,937 at peak, 84,937 added, 0 deleted).
% 31.24/31.44 ; Path-index has 2,987 nodes (2,987 at peak, 2,987 added, 0 deleted).
% 31.24/31.44 ; Trie-index has 84,937 entries (84,937 at peak, 84,937 added, 0 deleted).
% 31.24/31.44 ; Trie-index has 93,861 nodes (93,861 at peak, 93,861 added, 0 deleted).
% 31.24/31.44 ; Retrieved 99,910 generalization terms in 135,287 calls.
% 31.24/31.44 ; Retrieved 84,191 instance terms in 84,185 calls.
% 31.24/31.44 ; Retrieved 36,507,845 unifiable terms in 6,331,745 calls.
% 31.24/31.44 ;
% 31.24/31.44 ; The agenda of rows to process has 3 entries:
% 31.24/31.44 ; 3 with value 7
% 31.24/31.44 ; The agenda of rows to give has 67273 entries:
% 31.24/31.44 ; 49203 with value (4 6) 35 with value (4 10) 9 with value (4 15)
% 31.24/31.44 ; 16653 with value (4 7) 9 with value (4 11) 831 with value (4 16)
% 31.24/31.44 ; 264 with value (4 8) 220 with value (4 12) 29 with value (4 23)
% 31.24/31.44 ; 10 with value (4 9) 10 with value (4 13)
% 31.24/31.44 Evaluation took:
% 31.24/31.44 30.943 seconds of real time
% 31.24/31.44 30.062687 seconds of user run time
% 31.24/31.44 0.879361 seconds of system run time
% 31.24/31.44 [Run times include 2.651 seconds GC run time.]
% 31.24/31.44 0 calls to %EVAL
% 31.24/31.44 0 page faults and
% 31.24/31.44 2,905,132,776 bytes consed.
% 31.24/31.44 :PROOF-FOUND
% 31.24/31.44 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-05T11:46:48
% 31.24/31.44 :PROOF-FOUND
% 31.24/31.44 *
%------------------------------------------------------------------------------