TSTP Solution File: RNG041-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : RNG041-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 8
% Syntax : Number of clauses : 10 ( 7 unt; 1 nHn; 7 RR)
% Number of literals : 16 ( 4 equ; 8 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 13 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(associativity_of_multiplication1,axiom,
( ~ product(X,Y,Z)
| ~ product(Y,U,V)
| ~ product(Z,U,W)
| product(X,V,W) ),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',associativity_of_multiplication1) ).
cnf(multiplication_is_well_defined,axiom,
( ~ product(X,Y,Z)
| ~ product(X,Y,U)
| Z = U ),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',multiplication_is_well_defined) ).
cnf(multiplicative_identity1,hypothesis,
product(additive_identity,X,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_identity1) ).
cnf(right_multiplicative_identity,hypothesis,
product(X,multiplicative_identity,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_multiplicative_identity) ).
cnf(clause41,hypothesis,
( product(X,h(X),multiplicative_identity)
| X = additive_identity ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).
cnf(a_times_b,negated_conjecture,
product(a,b,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_b) ).
cnf(a_not_additive_identity,negated_conjecture,
a != additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_additive_identity) ).
cnf(prove_b_is_additive_identity,negated_conjecture,
b != additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_b_is_additive_identity) ).
cnf(44,plain,
~ product(a,multiplicative_identity,additive_identity),
inference('UR-RESOLVE',[status(thm)],[multiplication_is_well_defined,right_multiplicative_identity,a_not_additive_identity]) ).
cnf(61,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[associativity_of_multiplication1,a_times_b,clause41,multiplicative_identity1]),44,prove_b_is_additive_identity]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : RNG041-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon May 30 04:43:09 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T04:43:09
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-05-30T04:43:09
% 0.19/0.48
% 0.19/0.48 ; Recognized possible left identity assertion (|sum| |additive_identity| ?X ?X).
% 0.19/0.48 ; Recognized possible right identity assertion (|sum| ?X |additive_identity| ?X).
% 0.19/0.48 ; Recognized relation function assertion (|product| ?X ?Y (|multiply| ?X ?Y)).
% 0.19/0.48 ; Recognized relation function assertion (|sum| ?X ?Y (|add| ?X ?Y)).
% 0.19/0.48 ; Recognized possible left inverse assertion (|sum| (|additive_inverse| ?X) ?X |additive_identity|).
% 0.19/0.48 ; Recognized possible right inverse assertion (|sum| ?X (|additive_inverse| ?X) |additive_identity|).
% 0.19/0.48 ; Recognized possible associativity assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?Y ?U ?V)) (NOT (|sum| ?Z ?U ?W)) (|sum| ?X ?V ?W)).
% 0.19/0.48 ; Recognized possible associativity assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?Y ?U ?V)) (NOT (|sum| ?X ?V ?W)) (|sum| ?Z ?U ?W)).
% 0.19/0.48 ; Recognized commutativity assertion (OR (NOT (|sum| ?X ?Y ?Z)) (|sum| ?Y ?X ?Z)).
% 0.19/0.48 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?Z ?U ?W)) (|product| ?X ?V ?W)).
% 0.19/0.48 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?X ?V ?W)) (|product| ?Z ?U ?W)).
% 0.19/0.48 ; Recognized relation functionality assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?X ?Y ?U)) (= ?Z ?U)).
% 0.19/0.48 ; Recognized relation functionality assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?X ?Y ?U)) (= ?Z ?U)).
% 0.19/0.48 ; Recognized possible right identity assertion (|product| ?X |multiplicative_identity| ?X).
% 0.19/0.48 ; Recognized possible left identity assertion (|product| |multiplicative_identity| ?X ?X).
% 0.19/0.48 ; Declaring sum to be commutative.
% 0.19/0.48 ; Declaring add to be commutative.
% 0.19/0.53 ; Declaring add to be associative-commutative.
% 0.19/0.53
% 0.19/0.53 #||
% 0.19/0.53 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.53 % SZS output start Refutation
% See solution above
% 0.19/0.53 ||#
% 0.19/0.53
% 0.19/0.53 ; Summary of computation:
% 0.19/0.53 ; 779 formulas have been input or derived (from 18 formulas).
% 0.19/0.53 ; 61 ( 8%) were retained. Of these,
% 0.19/0.53 ; 61 (100%) are still being kept.
% 0.19/0.53 ;
% 0.19/0.53 ; Run time in seconds:
% 0.19/0.53 ; 0.005 8% Read assertion file (1 call)
% 0.19/0.53 ; 0.002 3% Assert (26 calls)
% 0.19/0.53 ; 0.006 10% Process new row (522 calls)
% 0.19/0.53 ; 0.013 21% Resolution (34 calls)
% 0.19/0.53 ; 0.000 0% Paramodulation (17 calls)
% 0.19/0.53 ; 0.000 0% Factoring (2 calls)
% 0.19/0.53 ; 0.000 0% Embedding (2 calls)
% 0.19/0.53 ; 0.001 2% Condensing (17 calls)
% 0.19/0.53 ; 0.000 0% Forward subsumption (17 calls)
% 0.19/0.53 ; 0.000 0% Backward subsumption (14 calls)
% 0.19/0.53 ; 0.002 3% Clause clause subsumption (14 calls)
% 0.19/0.53 ; 0.007 11% Forward simplification (521 calls)
% 0.19/0.53 ; 0.001 2% Backward simplification (60 calls)
% 0.19/0.53 ; 0.001 2% Ordering (16 calls)
% 0.19/0.53 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.53 ; 0.000 0% Purity testing (1 call)
% 0.19/0.53 ; 0.025 40% Other
% 0.19/0.53 ; 0.063 Total
% 0.19/0.53 ; 0.065 Real time
% 0.19/0.53 ;
% 0.19/0.53 ; Term-hash-array has 95 terms in all.
% 0.19/0.53 ; Feature-vector-row-index has 14 entries (14 at peak, 14 added, 0 deleted).
% 0.19/0.53 ; Feature-vector-row-index has 30 nodes (30 at peak, 30 added, 0 deleted).
% 0.19/0.53 ; Retrieved 10 possibly forward subsuming rows in 17 calls.
% 0.19/0.53 ; Retrieved 5 possibly backward subsumed rows in 14 calls.
% 0.19/0.53 ; Path-index has 99 entries (99 at peak, 99 added, 0 deleted).
% 0.19/0.53 ; Path-index has 133 nodes (133 at peak, 133 added, 0 deleted).
% 0.19/0.53 ; Trie-index has 99 entries (99 at peak, 99 added, 0 deleted).
% 0.19/0.53 ; Trie-index has 173 nodes (173 at peak, 173 added, 0 deleted).
% 0.19/0.53 ; Retrieved 1,112 generalization terms in 1,092 calls.
% 0.19/0.53 ; Retrieved 45 instance terms in 45 calls.
% 0.19/0.53 ; Retrieved 6,425 unifiable terms in 834 calls.
% 0.19/0.53 ;
% 0.19/0.53 ; The agenda of rows to process has 101 entries:
% 0.19/0.53 ; 8 with value 10 16 with value 15 1 with value 21
% 0.19/0.53 ; 12 with value 11 4 with value 16 1 with value 22
% 0.19/0.53 ; 28 with value 12 2 with value 17 1 with value 23
% 0.19/0.53 ; 6 with value 13 3 with value 18 1 with value 30
% 0.19/0.53 ; 11 with value 14 7 with value 20
% 0.19/0.53 ; The agenda of input rows to give has 5 entries:
% 0.19/0.53 ; 1 with value 20 4 with value 25
% 0.19/0.53 ; The agenda of rows to give has 38 entries:
% 0.19/0.53 ; 14 with value (4 6) 1 with value (4 9) 2 with value (4 11)
% 0.19/0.53 ; 1 with value (4 7) 5 with value (4 10) 3 with value (4 14)
% 0.19/0.53 ; 12 with value (4 8)
% 0.19/0.53 Evaluation took:
% 0.19/0.53 0.065 seconds of real time
% 0.19/0.53 0.052222 seconds of user run time
% 0.19/0.53 0.01312 seconds of system run time
% 0.19/0.53 0 calls to %EVAL
% 0.19/0.53 0 page faults and
% 0.19/0.53 3,394,544 bytes consed.
% 0.19/0.53 :PROOF-FOUND
% 0.19/0.53 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T04:43:09
% 0.19/0.53 :PROOF-FOUND
% 0.19/0.53 *
%------------------------------------------------------------------------------