TSTP Solution File: FLD010-5 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : FLD010-5 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n027.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 02:26:57 EDT 2022
% Result : Unsatisfiable 0.48s 0.69s
% Output : Refutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 10
% Syntax : Number of clauses : 18 ( 12 unt; 2 nHn; 18 RR)
% Number of literals : 31 ( 0 equ; 14 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 17 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(existence_of_identity_addition,axiom,
( sum(additive_identity,X,X)
| ~ defined(X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_identity_addition) ).
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(distributivity_1,axiom,
( sum(X,Y,Z)
| ~ sum(U,V,W)
| ~ product(W,X1,Z)
| ~ product(U,X1,X)
| ~ product(V,X1,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',distributivity_1) ).
cnf(well_definedness_of_additive_identity,axiom,
defined(additive_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',well_definedness_of_additive_identity) ).
cnf(well_definedness_of_multiplicative_identity,axiom,
defined(multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',well_definedness_of_multiplicative_identity) ).
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(not_sum_1,negated_conjecture,
~ sum(additive_identity,multiplicative_identity,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_1) ).
cnf(not_sum_2,negated_conjecture,
~ sum(additive_identity,multiplicative_inverse(multiplicative_identity),multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_2) ).
cnf(25,plain,
sum(additive_identity,multiplicative_identity,multiplicative_identity),
inference('HYPERRESOLVE',[status(thm)],[existence_of_identity_addition,well_definedness_of_multiplicative_identity]) ).
cnf(27,plain,
product(multiplicative_identity,multiplicative_identity,multiplicative_identity),
inference('HYPERRESOLVE',[status(thm)],[existence_of_identity_multiplication,well_definedness_of_multiplicative_identity]) ).
cnf(28,plain,
product(multiplicative_identity,additive_identity,additive_identity),
inference('HYPERRESOLVE',[status(thm)],[existence_of_identity_multiplication,well_definedness_of_additive_identity]) ).
cnf(41,plain,
defined(multiplicative_inverse(multiplicative_identity)),
inference('UR-RESOLVE',[status(thm)],[well_definedness_of_multiplicative_inverse,well_definedness_of_multiplicative_identity,not_sum_1]) ).
cnf(53,plain,
product(multiplicative_inverse(multiplicative_identity),multiplicative_identity,multiplicative_identity),
inference('UR-RESOLVE',[status(thm)],[existence_of_inverse_multiplication,not_sum_1,well_definedness_of_multiplicative_identity]) ).
cnf(58,plain,
~ product(multiplicative_identity,multiplicative_identity,multiplicative_inverse(multiplicative_identity)),
inference('UR-RESOLVE',[status(thm)],[distributivity_1,28,not_sum_2,25,27]) ).
cnf(130,plain,
product(multiplicative_identity,multiplicative_inverse(multiplicative_identity),multiplicative_inverse(multiplicative_identity)),
inference('HYPERRESOLVE',[status(thm)],[existence_of_identity_multiplication,41]) ).
cnf(1087,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[associativity_multiplication_1,58,53]),130]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : FLD010-5 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n027.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 15:18:39 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 2022-06-06T15:18:39
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-06T15:18:39
% 0.19/0.50
% 0.19/0.50 ; Recognized possible associativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?X ?U ?V)) (NOT (|sum| ?U ?W ?Y)) (NOT (|sum| ?V ?W ?Z))).
% 0.19/0.50 ; Recognized possible associativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?U ?V ?X)) (NOT (|sum| ?V ?Y ?W)) (NOT (|sum| ?U ?W ?Z))).
% 0.19/0.50 ; Recognized commutativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?Y ?X ?Z))).
% 0.19/0.50 ; Recognized possible associativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?X ?U ?V)) (NOT (|product| ?U ?W ?Y)) (NOT (|product| ?V ?W ?Z))).
% 0.19/0.50 ; Recognized possible associativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?U ?V ?X)) (NOT (|product| ?V ?Y ?W)) (NOT (|product| ?U ?W ?Z))).
% 0.19/0.50 ; Recognized commutativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?Y ?X ?Z))).
% 0.19/0.50 ; Declaring sum to be commutative.
% 0.48/0.69 ; Declaring product to be commutative.
% 0.48/0.69
% 0.48/0.69 #||
% 0.48/0.69 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/0.69 % SZS output start Refutation
% See solution above
% 0.48/0.70 ||#
% 0.48/0.70
% 0.48/0.70 ; Summary of computation:
% 0.48/0.70 ; 2837 formulas have been input or derived (from 61 formulas).
% 0.48/0.70 ; 1087 (38%) were retained. Of these,
% 0.48/0.70 ; 28 ( 3%) were simplified or subsumed later,
% 0.48/0.70 ; 1059 (97%) are still being kept.
% 0.48/0.70 ;
% 0.48/0.70 ; Run time in seconds excluding printing time:
% 0.48/0.70 ; 0.006 3% Read assertion file (1 call)
% 0.48/0.70 ; 0.002 1% Assert (28 calls)
% 0.48/0.70 ; 0.060 29% Process new row (2,525 calls)
% 0.48/0.70 ; 0.067 33% Resolution (120 calls)
% 0.48/0.70 ; 0.000 0% Paramodulation (60 calls)
% 0.48/0.70 ; 0.000 0% Factoring (1 call)
% 0.48/0.70 ; 0.001 0% Condensing (224 calls)
% 0.48/0.70 ; 0.006 3% Forward subsumption (224 calls)
% 0.48/0.70 ; 0.004 2% Backward subsumption (136 calls)
% 0.48/0.70 ; 0.000 0% Clause clause subsumption (325 calls)
% 0.48/0.70 ; 0.016 8% Forward simplification (2,525 calls)
% 0.48/0.70 ; 0.005 2% Backward simplification (1,087 calls)
% 0.48/0.70 ; 0.000 0% Ordering (180 calls)
% 0.48/0.70 ; 0.000 0% Sortal reasoning (32 calls)
% 0.48/0.70 ; 0.000 0% Purity testing (1 call)
% 0.48/0.70 ; 0.039 19% Other
% 0.48/0.70 ; 0.206 Total
% 0.48/0.70 ; 0.218 Real time
% 0.48/0.70 ;
% 0.48/0.70 ; Term-hash-array has 1,515 terms in all.
% 0.48/0.70 ; Feature-vector-row-index has 113 entries (117 at peak, 136 added, 23 deleted).
% 0.48/0.70 ; Feature-vector-row-index has 267 nodes (319 at peak, 345 added, 78 deleted).
% 0.48/0.70 ; Retrieved 300 possibly forward subsuming rows in 224 calls.
% 0.48/0.70 ; Retrieved 80 possibly backward subsumed rows in 136 calls.
% 0.48/0.70 ; Path-index has 1,499 entries (1,499 at peak, 1,536 added, 37 deleted).
% 0.48/0.70 ; Path-index has 537 nodes (543 at peak, 549 added, 12 deleted).
% 0.48/0.70 ; Trie-index has 1,499 entries (1,499 at peak, 1,536 added, 37 deleted).
% 0.48/0.70 ; Trie-index has 4,511 nodes (4,511 at peak, 4,585 added, 74 deleted).
% 0.48/0.70 ; Retrieved 1,355 generalization terms in 2,732 calls.
% 0.48/0.70 ; Retrieved 1,014 instance terms in 950 calls.
% 0.48/0.70 ; Retrieved 81,859 unifiable terms in 4,405 calls.
% 0.48/0.70 ;
% 0.48/0.70 ; The agenda of rows to process has 12 entries:
% 0.48/0.70 ; 7 with value 12 1 with value 13 4 with value 14
% 0.48/0.70 ; The agenda of rows to give has 1000 entries:
% 0.48/0.70 ; 27 with value (4 9) 36 with value (4 14) 25 with value (4 18)
% 0.48/0.70 ; 84 with value (4 10) 90 with value (4 15) 128 with value (4 19)
% 0.48/0.70 ; 125 with value (4 11) 15 with value (4 16) 27 with value (4 20)
% 0.48/0.70 ; 161 with value (4 12) 96 with value (4 17) 1 with value (4 22)
% 0.48/0.70 ; 185 with value (4 13)
% 0.48/0.70 Evaluation took:
% 0.48/0.70 0.219 seconds of real time
% 0.48/0.70 0.195806 seconds of user run time
% 0.48/0.70 0.022601 seconds of system run time
% 0.48/0.70 [Run times include 0.011 seconds GC run time.]
% 0.48/0.70 0 calls to %EVAL
% 0.48/0.70 0 page faults and
% 0.48/0.70 13,263,856 bytes consed.
% 0.48/0.70 :PROOF-FOUND
% 0.48/0.70 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-06T15:18:40
% 0.48/0.70 :PROOF-FOUND
% 0.48/0.70 *
%------------------------------------------------------------------------------