TSTP Solution File: FLD031-5 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : FLD031-5 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n022.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 : Sat Jul 16 02:27:05 EDT 2022
% Result : Unsatisfiable 0.77s 0.99s
% Output : Refutation 0.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of clauses : 12 ( 8 unt; 2 nHn; 12 RR)
% Number of literals : 20 ( 0 equ; 8 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 9 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(associativity_multiplication_1,axiom,
( product(X,Y,Z)
| ~ product(X,U,V)
| ~ product(U,W,Y)
| ~ product(V,W,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_multiplication_1) ).
cnf(existence_of_identity_multiplication,axiom,
( product(multiplicative_identity,X,X)
| ~ defined(X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_identity_multiplication) ).
cnf(existence_of_inverse_multiplication,axiom,
( product(multiplicative_inverse(X),X,multiplicative_identity)
| sum(additive_identity,X,additive_identity)
| ~ defined(X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_multiplication) ).
cnf(well_definedness_of_multiplicative_inverse,axiom,
( defined(multiplicative_inverse(X))
| ~ defined(X)
| sum(additive_identity,X,additive_identity) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',well_definedness_of_multiplicative_inverse) ).
cnf(a_is_defined,hypothesis,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
cnf(product_2,negated_conjecture,
product(multiplicative_identity,a,multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_2) ).
cnf(not_sum_3,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_3) ).
cnf(not_product_4,negated_conjecture,
~ product(multiplicative_identity,multiplicative_identity,multiplicative_inverse(a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_product_4) ).
cnf(57,plain,
defined(multiplicative_inverse(a)),
inference('UR-RESOLVE',[status(thm)],[well_definedness_of_multiplicative_inverse,a_is_defined,not_sum_3]) ).
cnf(83,plain,
product(multiplicative_inverse(a),a,multiplicative_identity),
inference('UR-RESOLVE',[status(thm)],[existence_of_inverse_multiplication,not_sum_3,a_is_defined]) ).
cnf(249,plain,
product(multiplicative_identity,multiplicative_inverse(a),multiplicative_inverse(a)),
inference('HYPERRESOLVE',[status(thm)],[existence_of_identity_multiplication,57]) ).
cnf(3328,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[associativity_multiplication_1,83,not_product_4,product_2]),249]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : FLD031-5 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n022.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 Jun 6 13:16:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-06T13:16:05
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-06T13:16:05
% 0.19/0.49
% 0.19/0.49 ; Recognized possible associativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?X ?U ?V)) (NOT (|sum| ?U ?W ?Y)) (NOT (|sum| ?V ?W ?Z))).
% 0.19/0.49 ; Recognized possible associativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?U ?V ?X)) (NOT (|sum| ?V ?Y ?W)) (NOT (|sum| ?U ?W ?Z))).
% 0.19/0.49 ; Recognized commutativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?Y ?X ?Z))).
% 0.19/0.49 ; Recognized possible associativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?X ?U ?V)) (NOT (|product| ?U ?W ?Y)) (NOT (|product| ?V ?W ?Z))).
% 0.19/0.49 ; Recognized possible associativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?U ?V ?X)) (NOT (|product| ?V ?Y ?W)) (NOT (|product| ?U ?W ?Z))).
% 0.19/0.49 ; Recognized commutativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?Y ?X ?Z))).
% 0.19/0.49 ; Declaring sum to be commutative.
% 0.77/0.99 ; Declaring product to be commutative.
% 0.77/0.99
% 0.77/0.99 #||
% 0.77/0.99 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.77/0.99 % SZS output start Refutation
% See solution above
% 0.77/0.99 ||#
% 0.77/0.99
% 0.77/0.99 ; Summary of computation:
% 0.77/0.99 ; 8144 formulas have been input or derived (from 79 formulas).
% 0.77/0.99 ; 3328 (41%) were retained. Of these,
% 0.77/0.99 ; 11 ( 0%) were simplified or subsumed later,
% 0.77/0.99 ; 3317 (100%) are still being kept.
% 0.77/0.99 ;
% 0.77/0.99 ; Run time in seconds:
% 0.77/0.99 ; 0.006 1% Read assertion file (1 call)
% 0.77/0.99 ; 0.002 0% Assert (30 calls)
% 0.77/0.99 ; 0.205 39% Process new row (7,851 calls)
% 0.77/0.99 ; 0.142 27% Resolution (156 calls)
% 0.77/0.99 ; 0.000 0% Paramodulation (78 calls)
% 0.77/0.99 ; 0.003 1% Condensing (716 calls)
% 0.77/0.99 ; 0.032 6% Forward subsumption (716 calls)
% 0.77/0.99 ; 0.006 1% Backward subsumption (390 calls)
% 0.77/0.99 ; 0.001 0% Clause clause subsumption (1,398 calls)
% 0.77/0.99 ; 0.050 10% Forward simplification (7,851 calls)
% 0.77/0.99 ; 0.025 5% Backward simplification (3,328 calls)
% 0.77/0.99 ; 0.001 0% Ordering (366 calls)
% 0.77/0.99 ; 0.000 0% Sortal reasoning (32 calls)
% 0.77/0.99 ; 0.000 0% Purity testing (1 call)
% 0.77/0.99 ; 0.050 10% Other
% 0.77/0.99 ; 0.523 Total
% 0.77/0.99 ; 0.524 Real time
% 0.77/0.99 ;
% 0.77/0.99 ; Term-hash-array has 5,092 terms in all.
% 0.77/0.99 ; Feature-vector-row-index has 383 entries (388 at peak, 390 added, 7 deleted).
% 0.77/0.99 ; Feature-vector-row-index has 722 nodes (739 at peak, 755 added, 33 deleted).
% 0.77/0.99 ; Retrieved 1,386 possibly forward subsuming rows in 716 calls.
% 0.77/0.99 ; Retrieved 512 possibly backward subsumed rows in 390 calls.
% 0.77/0.99 ; Path-index has 5,091 entries (5,091 at peak, 5,105 added, 14 deleted).
% 0.77/0.99 ; Path-index has 707 nodes (707 at peak, 716 added, 9 deleted).
% 0.77/0.99 ; Trie-index has 5,091 entries (5,091 at peak, 5,105 added, 14 deleted).
% 0.77/0.99 ; Trie-index has 14,572 nodes (14,572 at peak, 14,593 added, 21 deleted).
% 0.77/0.99 ; Retrieved 4,198 generalization terms in 8,538 calls.
% 0.77/0.99 ; Retrieved 2,975 instance terms in 2,937 calls.
% 0.77/0.99 ; Retrieved 293,324 unifiable terms in 5,774 calls.
% 0.77/0.99 ;
% 0.77/0.99 ; The agenda of rows to process has 14 entries:
% 0.77/0.99 ; 13 with value 10 1 with value 11
% 0.77/0.99 ; The agenda of rows to give has 3240 entries:
% 0.77/0.99 ; 10 with value (4 8) 708 with value (4 13) 108 with value (4 18)
% 0.77/0.99 ; 51 with value (4 9) 33 with value (4 14) 650 with value (4 19)
% 0.77/0.99 ; 125 with value (4 10) 266 with value (4 15) 153 with value (4 20)
% 0.77/0.99 ; 289 with value (4 11) 66 with value (4 16) 18 with value (4 22)
% 0.77/0.99 ; 403 with value (4 12) 360 with value (4 17)
% 0.77/0.99 Evaluation took:
% 0.77/0.99 0.524 seconds of real time
% 0.77/0.99 0.467548 seconds of user run time
% 0.77/0.99 0.056265 seconds of system run time
% 0.77/0.99 [Run times include 0.024 seconds GC run time.]
% 0.77/0.99 0 calls to %EVAL
% 0.77/0.99 0 page faults and
% 0.77/0.99 35,284,224 bytes consed.
% 0.77/0.99 :PROOF-FOUND
% 0.77/0.99 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-06T13:16:06
% 0.77/0.99 :PROOF-FOUND
% 0.77/0.99 *
%------------------------------------------------------------------------------