TSTP Solution File: RNG040-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : RNG040-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n024.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 20:40:39 EDT 2022
% Result : Unsatisfiable 0.41s 0.59s
% Output : Refutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 6
% Syntax : Number of clauses : 7 ( 6 unt; 0 nHn; 7 RR)
% Number of literals : 11 ( 0 equ; 5 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 7 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(distributivity1,axiom,
( ~ product(X,Y,Z)
| ~ product(X,U,V)
| ~ sum(Y,U,W)
| ~ product(X,W,X1)
| sum(Z,V,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',distributivity1) ).
cnf(b_plus_c,negated_conjecture,
sum(b,c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_plus_c) ).
cnf(d_plus_a,negated_conjecture,
product(d,a,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_plus_a) ).
cnf(b_plus_a,negated_conjecture,
product(b,a,l),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_plus_a) ).
cnf(c_plus_a,negated_conjecture,
product(c,a,n),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_plus_a) ).
cnf(prove_equation,negated_conjecture,
~ sum(l,n,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equation) ).
cnf(96,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[distributivity1,c_plus_a,b_plus_a,b_plus_c,d_plus_a,prove_equation]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG040-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon May 30 13:01:06 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T13:01:06
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-05-30T13:01:06
% 0.20/0.49
% 0.20/0.49 ; Recognized possible left identity assertion (|sum| |additive_identity| ?X ?X).
% 0.20/0.49 ; Recognized possible right identity assertion (|sum| ?X |additive_identity| ?X).
% 0.20/0.49 ; Recognized relation function assertion (|product| ?X ?Y (|multiply| ?X ?Y)).
% 0.20/0.49 ; Recognized relation function assertion (|sum| ?X ?Y (|add| ?X ?Y)).
% 0.20/0.49 ; Recognized possible left inverse assertion (|sum| (|additive_inverse| ?X) ?X |additive_identity|).
% 0.20/0.49 ; Recognized possible right inverse assertion (|sum| ?X (|additive_inverse| ?X) |additive_identity|).
% 0.20/0.49 ; Recognized possible associativity assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?Y ?U ?V)) (NOT (|sum| ?Z ?U ?W)) (|sum| ?X ?V ?W)).
% 0.20/0.49 ; Recognized possible associativity assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?Y ?U ?V)) (NOT (|sum| ?X ?V ?W)) (|sum| ?Z ?U ?W)).
% 0.20/0.49 ; Recognized commutativity assertion (OR (NOT (|sum| ?X ?Y ?Z)) (|sum| ?Y ?X ?Z)).
% 0.20/0.49 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?Z ?U ?W)) (|product| ?X ?V ?W)).
% 0.20/0.49 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?X ?V ?W)) (|product| ?Z ?U ?W)).
% 0.20/0.49 ; Recognized relation functionality assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?X ?Y ?U)) (= ?Z ?U)).
% 0.20/0.49 ; Recognized relation functionality assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?X ?Y ?U)) (= ?Z ?U)).
% 0.20/0.49 ; Recognized possible right identity assertion (|product| ?X |multiplicative_identity| ?X).
% 0.20/0.49 ; Recognized possible left identity assertion (|product| |multiplicative_identity| ?X ?X).
% 0.20/0.50 ; Recognized commutativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (|product| ?Y ?X ?Z)).
% 0.20/0.50 ; Declaring sum to be commutative.
% 0.20/0.50 ; Declaring add to be commutative.
% 0.20/0.50 ; Declaring add to be associative-commutative.
% 0.20/0.50 ; Declaring product to be commutative.
% 0.20/0.50 ; Declaring multiply to be commutative.
% 0.41/0.59 ; Declaring multiply to be associative-commutative.
% 0.41/0.59
% 0.41/0.59 #||
% 0.41/0.59 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.41/0.59 % SZS output start Refutation
% See solution above
% 0.41/0.59 ||#
% 0.41/0.59
% 0.41/0.59 ; Summary of computation:
% 0.41/0.59 ; 2956 formulas have been input or derived (from 17 formulas).
% 0.41/0.59 ; 96 ( 3%) were retained. Of these,
% 0.41/0.59 ; 96 (100%) are still being kept.
% 0.41/0.59 ;
% 0.41/0.59 ; Run time in seconds:
% 0.41/0.59 ; 0.006 5% Read assertion file (1 call)
% 0.41/0.59 ; 0.000 0% Assert (27 calls)
% 0.41/0.59 ; 0.008 7% Process new row (773 calls)
% 0.41/0.59 ; 0.049 43% Resolution (32 calls)
% 0.41/0.59 ; 0.000 0% Paramodulation (16 calls)
% 0.41/0.59 ; 0.000 0% Factoring (1 call)
% 0.41/0.59 ; 0.000 0% Embedding (7 calls)
% 0.41/0.59 ; 0.004 3% Condensing (95 calls)
% 0.41/0.59 ; 0.002 2% Forward subsumption (95 calls)
% 0.41/0.59 ; 0.001 1% Backward subsumption (40 calls)
% 0.41/0.59 ; 0.002 2% Clause clause subsumption (115 calls)
% 0.41/0.59 ; 0.016 14% Forward simplification (768 calls)
% 0.41/0.59 ; 0.000 0% Backward simplification (91 calls)
% 0.41/0.59 ; 0.001 1% Ordering (94 calls)
% 0.41/0.59 ; 0.000 0% Sortal reasoning (32 calls)
% 0.41/0.59 ; 0.000 0% Purity testing (1 call)
% 0.41/0.59 ; 0.026 23% Other
% 0.41/0.59 ; 0.115 Total
% 0.41/0.59 ; 0.115 Real time
% 0.41/0.59 ;
% 0.41/0.59 ; Term-hash-array has 195 terms in all.
% 0.41/0.59 ; Feature-vector-row-index has 40 entries (40 at peak, 40 added, 0 deleted).
% 0.41/0.59 ; Feature-vector-row-index has 233 nodes (233 at peak, 233 added, 0 deleted).
% 0.41/0.59 ; Retrieved 144 possibly forward subsuming rows in 95 calls.
% 0.41/0.59 ; Retrieved 12 possibly backward subsumed rows in 40 calls.
% 0.41/0.59 ; Path-index has 203 entries (203 at peak, 203 added, 0 deleted).
% 0.41/0.59 ; Path-index has 227 nodes (227 at peak, 227 added, 0 deleted).
% 0.41/0.59 ; Trie-index has 203 entries (203 at peak, 203 added, 0 deleted).
% 0.41/0.59 ; Trie-index has 251 nodes (251 at peak, 251 added, 0 deleted).
% 0.41/0.59 ; Retrieved 2,261 generalization terms in 1,665 calls.
% 0.41/0.59 ; Retrieved 52 instance terms in 50 calls.
% 0.41/0.59 ; Retrieved 33,177 unifiable terms in 4,007 calls.
% 0.41/0.59 ;
% 0.41/0.59 ; The agenda of rows to process has 1132 entries:
% 0.41/0.59 ; 23 with value 6 153 with value 14 24 with value 20
% 0.41/0.59 ; 8 with value 8 53 with value 15 2 with value 21
% 0.41/0.59 ; 138 with value 9 55 with value 16 1 with value 23
% 0.41/0.59 ; 13 with value 10 26 with value 17 13 with value 24
% 0.41/0.59 ; 328 with value 11 60 with value 18 4 with value 26
% 0.41/0.59 ; 68 with value 12 15 with value 19 5 with value 27
% 0.41/0.59 ; 143 with value 13
% 0.41/0.59 ; The agenda of input rows to give has 1 entry:
% 0.41/0.59 ; 1 with value 25
% 0.41/0.59 ; The agenda of rows to give has 78 entries:
% 0.41/0.59 ; 1 with value (4 7) 8 with value (4 12) 1 with value (4 17)
% 0.41/0.59 ; 16 with value (4 8) 1 with value (4 13) 4 with value (4 20)
% 0.41/0.59 ; 7 with value (4 9) 3 with value (4 14) 1 with value (4 21)
% 0.41/0.59 ; 5 with value (4 10) 14 with value (4 15) 1 with value (4 30)
% 0.41/0.59 ; 16 with value (4 11)
% 0.41/0.59 Evaluation took:
% 0.41/0.59 0.115 seconds of real time
% 0.41/0.59 0.102446 seconds of user run time
% 0.41/0.59 0.013049 seconds of system run time
% 0.41/0.59 0 calls to %EVAL
% 0.41/0.59 0 page faults and
% 0.41/0.59 6,998,392 bytes consed.
% 0.41/0.59 :PROOF-FOUND
% 0.41/0.59 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T13:01:06
% 0.41/0.59 :PROOF-FOUND
% 0.41/0.59 *
%------------------------------------------------------------------------------