TSTP Solution File: NUM341+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM341+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n007.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 14:07:55 EDT 2022
% Result : Theorem 0.39s 0.58s
% Output : Refutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 3 unt; 1 nHn; 4 RR)
% Number of literals : 12 ( 0 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 18 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(300,axiom,
( ~ sum(X,Y,Z)
| difference(Z,X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax',minus_entry_point) ).
cnf(301,axiom,
( sum(X,Y,Z)
| ~ difference(Z,X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax',minus_entry_point) ).
cnf(407,negated_conjecture,
( ~ sum(X,Y,Z)
| ~ difference(Z,Y,X)
| ~ difference(Z,X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add_same_as_subtract) ).
cnf(409,negated_conjecture,
( sum(X,Y,Z)
| difference(Z,X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add_same_as_subtract) ).
cnf(422,plain,
difference(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[300,409]) ).
cnf(423,plain,
sum(X,Y,Z),
inference('REWRITE',[status(thm)],[301,422]) ).
cnf(430,plain,
$false,
inference('REWRITE',[status(thm)],[407,423,422]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM341+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.11 % Command : run-snark %s %d
% 0.10/0.31 % Computer : n007.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 600
% 0.10/0.31 % DateTime : Thu Jul 7 17:41:44 EDT 2022
% 0.10/0.32 % CPUTime :
% 0.16/0.43 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.44 *
% 0.16/0.44 *
% 0.16/0.45 #<PACKAGE "SNARK-USER">
% 0.16/0.45 *
% 0.16/0.45 SNARK-TPTP-OPTIONS
% 0.16/0.45 *
% 0.16/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.16/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.16/0.45 (USE-FACTORING :POS)
% 0.16/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.16/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.16/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.16/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.16/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.16/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.16/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.16/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.16/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.16/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.16/0.45 *
% 0.16/0.45 "."
% 0.16/0.45 *
% 0.16/0.45 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-07T17:41:44
% 0.16/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-07-07T17:41:44
% 0.16/0.52
% 0.39/0.58 ; Recognized relation functionality assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?X ?Y ?U)) (= ?Z ?U)).
% 0.39/0.58
% 0.39/0.58 #||
% 0.39/0.58 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/0.58 % SZS output start Refutation
% See solution above
% 0.39/0.58 ||#
% 0.39/0.58
% 0.39/0.58 ; Summary of computation:
% 0.39/0.58 ; 444 formulas have been input or derived (from 47 formulas).
% 0.39/0.58 ; 430 (97%) were retained. Of these,
% 0.39/0.58 ; 27 ( 6%) were simplified or subsumed later,
% 0.39/0.58 ; 403 (94%) are still being kept.
% 0.39/0.58 ;
% 0.39/0.58 ; Run time in seconds:
% 0.39/0.58 ; 0.059 46% Read assertion file (1 call)
% 0.39/0.58 ; 0.005 4% Assert (402 calls)
% 0.39/0.58 ; 0.028 22% Process new row (443 calls)
% 0.39/0.58 ; 0.001 1% Resolution (92 calls)
% 0.39/0.58 ; 0.000 0% Paramodulation (46 calls)
% 0.39/0.58 ; 0.000 0% Factoring (2 calls)
% 0.39/0.58 ; 0.002 2% Condensing (39 calls)
% 0.39/0.58 ; 0.000 0% Forward subsumption (39 calls)
% 0.39/0.58 ; 0.001 1% Backward subsumption (39 calls)
% 0.39/0.58 ; 0.001 1% Clause clause subsumption (11 calls)
% 0.39/0.58 ; 0.005 4% Forward simplification (443 calls)
% 0.39/0.58 ; 0.002 2% Backward simplification (430 calls)
% 0.39/0.58 ; 0.000 0% Ordering (7 calls)
% 0.39/0.58 ; 0.000 0% Sortal reasoning (32 calls)
% 0.39/0.58 ; 0.000 0% Purity testing (1 call)
% 0.39/0.58 ; 0.025 19% Other
% 0.39/0.58 ; 0.129 Total
% 0.39/0.58 ; 0.129 Real time
% 0.39/0.58 ;
% 0.39/0.58 ; Term-hash-array has 861 terms in all.
% 0.39/0.58 ; Feature-vector-row-index has 14 entries (36 at peak, 39 added, 25 deleted).
% 0.39/0.58 ; Feature-vector-row-index has 104 nodes (156 at peak, 164 added, 60 deleted).
% 0.39/0.58 ; Retrieved 7 possibly forward subsuming rows in 39 calls.
% 0.39/0.58 ; Retrieved 4 possibly backward subsumed rows in 39 calls.
% 0.39/0.58 ; Path-index has 1,089 entries (1,117 at peak, 1,128 added, 39 deleted).
% 0.39/0.58 ; Path-index has 924 nodes (927 at peak, 932 added, 8 deleted).
% 0.39/0.58 ; Trie-index has 1,089 entries (1,117 at peak, 1,128 added, 39 deleted).
% 0.39/0.58 ; Trie-index has 3,535 nodes (3,542 at peak, 3,549 added, 14 deleted).
% 0.39/0.58 ; Retrieved 21 generalization terms in 519 calls.
% 0.39/0.58 ; Retrieved 411 instance terms in 390 calls.
% 0.39/0.58 ; Retrieved 511 unifiable terms in 268 calls.
% 0.39/0.58 ;
% 0.39/0.58 ; The agenda of input rows to give has 354 entries:
% 0.39/0.58 ; 3 with value 4 60 with value 16 1 with value 33
% 0.39/0.58 ; 1 with value 5 1 with value 21 1 with value 48
% 0.39/0.58 ; 101 with value 11 1 with value 22 1 with value 64
% 0.39/0.58 ; 181 with value 12 1 with value 32 1 with value 68
% 0.39/0.58 ; 1 with value 13
% 0.39/0.58 ; The agenda of rows to give has 10 entries:
% 0.39/0.58 ; 10 with value (4 6)
% 0.39/0.58 Evaluation took:
% 0.39/0.58 0.129 seconds of real time
% 0.39/0.58 0.122514 seconds of user run time
% 0.39/0.58 0.006927 seconds of system run time
% 0.39/0.58 0 calls to %EVAL
% 0.39/0.58 0 page faults and
% 0.39/0.58 7,276,240 bytes consed.
% 0.39/0.58 :PROOF-FOUND
% 0.39/0.58 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-07T17:41:45
% 0.39/0.58 :PROOF-FOUND
% 0.39/0.58 *
%------------------------------------------------------------------------------