TSTP Solution File: RNG001-4 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : RNG001-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 20:40:30 EDT 2022
% Result : Unsatisfiable 0.47s 0.66s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 11 ( 8 unt; 0 nHn; 8 RR)
% Number of literals : 22 ( 0 equ; 15 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 25 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(additive_identity1,axiom,
sum(additive_identity,X,X),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',additive_identity1) ).
cnf(closure_of_multiplication,axiom,
product(X,Y,multiply(X,Y)),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',closure_of_multiplication) ).
cnf(left_inverse,axiom,
sum(additive_inverse(X),X,additive_identity),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',left_inverse) ).
cnf(associativity_of_addition1,axiom,
( ~ sum(X,Y,Z)
| ~ sum(Y,U,V)
| ~ sum(Z,U,W)
| sum(X,V,W) ),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',associativity_of_addition1) ).
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(distributivity2,axiom,
( ~ product(X,Y,Z)
| ~ product(X,U,V)
| ~ sum(Y,U,W)
| ~ sum(Z,V,X1)
| product(X,W,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',distributivity2) ).
cnf(prove_a_times_additive_id_is_additive_id,negated_conjecture,
~ product(a,additive_identity,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_times_additive_id_is_additive_id) ).
cnf(30,plain,
~ sum(multiply(a,additive_identity),multiply(a,additive_identity),additive_identity),
inference('UR-RESOLVE',[status(thm)],[distributivity2,closure_of_multiplication,closure_of_multiplication,additive_identity1,prove_a_times_additive_id_is_additive_id]) ).
cnf(99,plain,
~ sum(multiply(a,additive_identity),additive_identity,additive_identity),
inference('UR-RESOLVE',[status(thm)],[associativity_of_addition1,30,additive_identity1]) ).
cnf(116,plain,
~ sum(multiply(a,additive_identity),X,X),
inference('UR-RESOLVE',[status(thm)],[associativity_of_addition1,99,left_inverse,left_inverse]) ).
cnf(146,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[distributivity1,116,closure_of_multiplication,closure_of_multiplication,additive_identity1,closure_of_multiplication]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG001-4 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n025.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 19:20:42 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 0.18/0.47 #<PACKAGE "SNARK-USER">
% 0.18/0.47 *
% 0.18/0.47 SNARK-TPTP-OPTIONS
% 0.18/0.47 *
% 0.18/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.47 (USE-FACTORING :POS)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.47 *
% 0.18/0.47 "."
% 0.18/0.47 *
% 0.18/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T19:20:42
% 0.18/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-05-30T19:20:42
% 0.18/0.48
% 0.18/0.48 ; Recognized possible left identity assertion (|sum| |additive_identity| ?X ?X).
% 0.18/0.48 ; Recognized possible right identity assertion (|sum| ?X |additive_identity| ?X).
% 0.18/0.48 ; Recognized relation function assertion (|product| ?X ?Y (|multiply| ?X ?Y)).
% 0.18/0.48 ; Recognized relation function assertion (|sum| ?X ?Y (|add| ?X ?Y)).
% 0.18/0.48 ; Recognized possible left inverse assertion (|sum| (|additive_inverse| ?X) ?X |additive_identity|).
% 0.18/0.49 ; Recognized possible right inverse assertion (|sum| ?X (|additive_inverse| ?X) |additive_identity|).
% 0.18/0.49 ; Recognized possible associativity assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?Y ?U ?V)) (NOT (|sum| ?Z ?U ?W)) (|sum| ?X ?V ?W)).
% 0.18/0.49 ; Recognized possible associativity assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?Y ?U ?V)) (NOT (|sum| ?X ?V ?W)) (|sum| ?Z ?U ?W)).
% 0.18/0.49 ; Recognized commutativity assertion (OR (NOT (|sum| ?X ?Y ?Z)) (|sum| ?Y ?X ?Z)).
% 0.18/0.49 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?Z ?U ?W)) (|product| ?X ?V ?W)).
% 0.18/0.49 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?X ?V ?W)) (|product| ?Z ?U ?W)).
% 0.18/0.49 ; Recognized relation functionality assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?X ?Y ?U)) (= ?Z ?U)).
% 0.18/0.49 ; Recognized relation functionality assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?X ?Y ?U)) (= ?Z ?U)).
% 0.18/0.49 ; Declaring sum to be commutative.
% 0.18/0.49 ; Declaring add to be commutative.
% 0.47/0.66 ; Declaring add to be associative-commutative.
% 0.47/0.66
% 0.47/0.66 #||
% 0.47/0.66 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.66 % SZS output start Refutation
% See solution above
% 0.47/0.66 ||#
% 0.47/0.66
% 0.47/0.66 ; Summary of computation:
% 0.47/0.66 ; 3696 formulas have been input or derived (from 29 formulas).
% 0.47/0.66 ; 146 ( 4%) were retained. Of these,
% 0.47/0.66 ; 20 (14%) were simplified or subsumed later,
% 0.47/0.66 ; 126 (86%) are still being kept.
% 0.47/0.66 ;
% 0.47/0.66 ; Run time in seconds excluding printing time:
% 0.47/0.66 ; 0.005 3% Read assertion file (1 call)
% 0.47/0.66 ; 0.001 1% Assert (20 calls)
% 0.47/0.66 ; 0.014 8% Process new row (2,591 calls)
% 0.47/0.66 ; 0.069 37% Resolution (56 calls)
% 0.47/0.66 ; 0.002 1% Paramodulation (28 calls)
% 0.47/0.66 ; 0.000 0% Embedding (3 calls)
% 0.47/0.66 ; 0.003 2% Condensing (12 calls)
% 0.47/0.66 ; 0.000 0% Forward subsumption (12 calls)
% 0.47/0.66 ; 0.000 0% Backward subsumption (10 calls)
% 0.47/0.66 ; 0.001 1% Clause clause subsumption (10 calls)
% 0.47/0.66 ; 0.057 31% Forward simplification (2,463 calls)
% 0.47/0.66 ; 0.003 2% Backward simplification (144 calls)
% 0.47/0.66 ; 0.001 1% Ordering (53 calls)
% 0.47/0.66 ; 0.000 0% Ordering ac (5 calls)
% 0.47/0.66 ; 0.000 0% Sortal reasoning (32 calls)
% 0.47/0.66 ; 0.000 0% Purity testing (1 call)
% 0.47/0.66 ; 0.030 16% Other
% 0.47/0.66 ; 0.186 Total
% 0.47/0.66 ; 0.194 Real time
% 0.47/0.66 ;
% 0.47/0.66 ; Term-hash-array has 290 terms in all.
% 0.47/0.66 ; Feature-vector-row-index has 10 entries (10 at peak, 10 added, 0 deleted).
% 0.47/0.66 ; Feature-vector-row-index has 13 nodes (13 at peak, 13 added, 0 deleted).
% 0.47/0.66 ; Retrieved 7 possibly forward subsuming rows in 12 calls.
% 0.47/0.66 ; Retrieved 4 possibly backward subsumed rows in 10 calls.
% 0.47/0.66 ; Path-index has 272 entries (272 at peak, 292 added, 20 deleted).
% 0.47/0.66 ; Path-index has 365 nodes (365 at peak, 368 added, 3 deleted).
% 0.47/0.66 ; Trie-index has 272 entries (272 at peak, 292 added, 20 deleted).
% 0.47/0.66 ; Trie-index has 411 nodes (411 at peak, 470 added, 59 deleted).
% 0.47/0.66 ; Retrieved 13,321 generalization terms in 9,372 calls.
% 0.47/0.66 ; Retrieved 182 instance terms in 133 calls.
% 0.47/0.66 ; Retrieved 35,715 unifiable terms in 3,840 calls.
% 0.47/0.66 ;
% 0.47/0.66 ; The agenda of rows to process has 336 entries:
% 0.47/0.66 ; 5 with value 9 40 with value 15 27 with value 19
% 0.47/0.66 ; 43 with value 12 47 with value 16 24 with value 20
% 0.47/0.66 ; 22 with value 13 37 with value 17 9 with value 21
% 0.47/0.66 ; 35 with value 14 46 with value 18 1 with value 22
% 0.47/0.66 ; The agenda of rows to give has 101 entries:
% 0.47/0.66 ; 1 with value (4 12) 11 with value (4 16) 10 with value (4 20)
% 0.47/0.66 ; 3 with value (4 13) 7 with value (4 17) 4 with value (4 21)
% 0.47/0.66 ; 13 with value (4 14) 20 with value (4 18) 4 with value (4 22)
% 0.47/0.66 ; 11 with value (4 15) 16 with value (4 19) 1 with value (4 23)
% 0.47/0.66 Evaluation took:
% 0.47/0.66 0.194 seconds of real time
% 0.47/0.66 0.18028 seconds of user run time
% 0.47/0.66 0.013689 seconds of system run time
% 0.47/0.66 [Run times include 0.006 seconds GC run time.]
% 0.47/0.66 0 calls to %EVAL
% 0.47/0.66 0 page faults and
% 0.47/0.66 12,664,496 bytes consed.
% 0.47/0.66 :PROOF-FOUND
% 0.47/0.66 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T19:20:42
% 0.47/0.66 :PROOF-FOUND
% 0.47/0.66 *
%------------------------------------------------------------------------------