TSTP Solution File: RNG001-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : RNG001-2 : 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 24.07s 24.28s
% Output : Refutation 24.07s
% 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/sandbox2/benchmark/theBenchmark.p',additive_identity1) ).
cnf(closure_of_multiplication,axiom,
product(X,Y,multiply(X,Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_multiplication) ).
cnf(additive_inverse1,axiom,
sum(additive_inverse(X),X,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_inverse1) ).
cnf(associativity_of_addition1,axiom,
( ~ sum(X,Y,Z)
| ~ sum(Y,U,V)
| ~ sum(Z,U,W)
| sum(X,V,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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/sandbox2/benchmark/theBenchmark.p',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/sandbox2/benchmark/theBenchmark.p',distributivity2) ).
cnf(theorem,negated_conjecture,
~ product(a,additive_identity,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem) ).
cnf(105,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,theorem]) ).
cnf(11800,plain,
~ sum(multiply(a,additive_identity),additive_identity,additive_identity),
inference('UR-RESOLVE',[status(thm)],[associativity_of_addition1,105,additive_identity1]) ).
cnf(12125,plain,
~ sum(multiply(a,additive_identity),X,X),
inference('UR-RESOLVE',[status(thm)],[associativity_of_addition1,11800,additive_inverse1,additive_inverse1]) ).
cnf(13300,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[distributivity1,12125,closure_of_multiplication,closure_of_multiplication,additive_identity1,closure_of_multiplication]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG001-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon May 30 11:06:12 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.48 #<PACKAGE "SNARK-USER">
% 0.19/0.48 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T11:06:12
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-05-30T11:06:12
% 0.19/0.49
% 0.19/0.49 ; Recognized possible left identity assertion (|sum| |additive_identity| ?X ?X).
% 0.19/0.49 ; Recognized possible right identity assertion (|sum| ?X |additive_identity| ?X).
% 0.19/0.49 ; Recognized relation function assertion (|product| ?X ?Y (|multiply| ?X ?Y)).
% 0.19/0.49 ; Recognized relation function assertion (|sum| ?X ?Y (|add| ?X ?Y)).
% 0.19/0.49 ; Recognized possible left inverse assertion (|sum| (|additive_inverse| ?X) ?X |additive_identity|).
% 0.19/0.49 ; Recognized possible right inverse assertion (|sum| ?X (|additive_inverse| ?X) |additive_identity|).
% 0.19/0.49 ; Recognized possible associativity assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?Y ?U ?V)) (NOT (|sum| ?Z ?U ?W)) (|sum| ?X ?V ?W)).
% 0.19/0.49 ; Recognized possible associativity assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?Y ?U ?V)) (NOT (|sum| ?X ?V ?W)) (|sum| ?Z ?U ?W)).
% 0.19/0.49 ; Recognized commutativity assertion (OR (NOT (|sum| ?X ?Y ?Z)) (|sum| ?Y ?X ?Z)).
% 0.19/0.49 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?Z ?U ?W)) (|product| ?X ?V ?W)).
% 0.19/0.49 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?X ?V ?W)) (|product| ?Z ?U ?W)).
% 24.07/24.28 ; Declaring sum to be commutative.
% 24.07/24.28
% 24.07/24.28 #||
% 24.07/24.28 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 24.07/24.28 % SZS output start Refutation
% See solution above
% 24.07/24.28 ||#
% 24.07/24.28
% 24.07/24.28 ; Summary of computation:
% 24.07/24.28 ; 162554 formulas have been input or derived (from 78 formulas).
% 24.07/24.28 ; 13300 ( 8%) were retained. Of these,
% 24.07/24.28 ; 1190 ( 9%) were simplified or subsumed later,
% 24.07/24.28 ; 12110 (91%) are still being kept.
% 24.07/24.28 ;
% 24.07/24.28 ; Run time in seconds excluding printing time:
% 24.07/24.28 ; 0.004 0% Read assertion file (1 call)
% 24.07/24.28 ; 0.001 0% Assert (18 calls)
% 24.07/24.28 ; 1.045 4% Process new row (137,878 calls)
% 24.07/24.28 ; 20.578 86% Resolution (154 calls)
% 24.07/24.28 ; 0.008 0% Paramodulation (77 calls)
% 24.07/24.28 ; 0.000 0% Condensing (10 calls)
% 24.07/24.28 ; 0.000 0% Forward subsumption (10 calls)
% 24.07/24.28 ; 0.000 0% Backward subsumption (9 calls)
% 24.07/24.28 ; 0.002 0% Clause clause subsumption (7 calls)
% 24.07/24.28 ; 1.370 6% Forward simplification (136,554 calls)
% 24.07/24.28 ; 0.396 2% Backward simplification (13,300 calls)
% 24.07/24.28 ; 0.000 0% Sortal reasoning (32 calls)
% 24.07/24.28 ; 0.001 0% Purity testing (1 call)
% 24.07/24.28 ; 0.395 2% Other
% 24.07/24.28 ; 23.800 Total
% 24.07/24.28 ; 23.804 Real time
% 24.07/24.28 ;
% 24.07/24.28 ; Term-hash-array has 17,787 terms in all.
% 24.07/24.28 ; Feature-vector-row-index has 9 entries (9 at peak, 9 added, 0 deleted).
% 24.07/24.28 ; Feature-vector-row-index has 15 nodes (15 at peak, 15 added, 0 deleted).
% 24.07/24.28 ; Retrieved 4 possibly forward subsuming rows in 10 calls.
% 24.07/24.28 ; Retrieved 3 possibly backward subsumed rows in 9 calls.
% 24.07/24.28 ; Path-index has 16,374 entries (16,374 at peak, 17,924 added, 1,550 deleted).
% 24.07/24.28 ; Path-index has 5,753 nodes (5,753 at peak, 5,903 added, 150 deleted).
% 24.07/24.28 ; Trie-index has 16,374 entries (16,374 at peak, 17,924 added, 1,550 deleted).
% 24.07/24.28 ; Trie-index has 50,467 nodes (50,467 at peak, 55,437 added, 4,970 deleted).
% 24.07/24.28 ; Retrieved 403,798 generalization terms in 136,644 calls.
% 24.07/24.28 ; Retrieved 37,066 instance terms in 13,290 calls.
% 24.07/24.28 ; Retrieved 34,151,088 unifiable terms in 116,350 calls.
% 24.07/24.28 ;
% 24.07/24.28 ; The agenda of rows to process has 4875 entries:
% 24.07/24.28 ; 5 with value 9 336 with value 15 811 with value 19
% 24.07/24.28 ; 2 with value 11 618 with value 16 724 with value 20
% 24.07/24.28 ; 128 with value 12 616 with value 17 476 with value 21
% 24.07/24.28 ; 114 with value 13 715 with value 18 74 with value 22
% 24.07/24.28 ; 256 with value 14
% 24.07/24.28 ; The agenda of rows to give has 12039 entries:
% 24.07/24.28 ; 1 with value (4 11) 793 with value (4 16) 1558 with value (4 21)
% 24.07/24.28 ; 51 with value (4 12) 1343 with value (4 17) 822 with value (4 22)
% 24.07/24.28 ; 109 with value (4 13) 2008 with value (4 18) 200 with value (4 23)
% 24.07/24.28 ; 227 with value (4 14) 2404 with value (4 19) 40 with value (4 24)
% 24.07/24.28 ; 373 with value (4 15) 2094 with value (4 20) 16 with value (4 25)
% 24.07/24.28 Evaluation took:
% 24.07/24.28 23.805 seconds of real time
% 24.07/24.28 23.17468 seconds of user run time
% 24.07/24.28 0.627935 seconds of system run time
% 24.07/24.28 [Run times include 1.193 seconds GC run time.]
% 24.07/24.28 0 calls to %EVAL
% 24.07/24.28 0 page faults and
% 24.07/24.28 723,863,336 bytes consed.
% 24.07/24.28 :PROOF-FOUND
% 24.07/24.28 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T11:06:36
% 24.07/24.28 :PROOF-FOUND
% 24.07/24.28 *
%------------------------------------------------------------------------------