TSTP Solution File: FLD031-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : FLD031-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.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 0.39s 0.56s
% Output : Refutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 8
% Syntax : Number of clauses : 11 ( 8 unt; 1 nHn; 11 RR)
% Number of literals : 17 ( 0 equ; 7 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 : 8 ( 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/sandbox/benchmark/Axioms/FLD002-0.ax',associativity_multiplication_1) ).
cnf(existence_of_identity_multiplication,axiom,
( product(multiplicative_identity,X,X)
| ~ defined(X) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_multiplication) ).
cnf(well_definedness_of_multiplicative_identity,axiom,
defined(multiplicative_identity),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',well_definedness_of_multiplicative_identity) ).
cnf(a_is_defined,hypothesis,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
cnf(product_2,negated_conjecture,
product(multiplicative_identity,a,multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_2) ).
cnf(not_sum_3,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_3) ).
cnf(not_product_4,negated_conjecture,
~ product(multiplicative_identity,multiplicative_inverse(a),multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_product_4) ).
cnf(31,plain,
product(multiplicative_identity,multiplicative_identity,multiplicative_identity),
inference('HYPERRESOLVE',[status(thm)],[existence_of_identity_multiplication,well_definedness_of_multiplicative_identity]) ).
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(97,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[associativity_multiplication_1,31,not_product_4,product_2]),83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : FLD031-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.15/0.14 % Command : run-snark %s %d
% 0.15/0.36 % Computer : n028.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Mon Jun 6 12:10:58 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.22/0.49 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.50 *
% 0.22/0.50 *
% 0.22/0.51 #<PACKAGE "SNARK-USER">
% 0.22/0.51 *
% 0.22/0.51 SNARK-TPTP-OPTIONS
% 0.22/0.51 *
% 0.22/0.51 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.51 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.51 (USE-FACTORING :POS)
% 0.22/0.51 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.51 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.51 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.51 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.51 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.51 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.51 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.51 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.51 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.51 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.51 *
% 0.22/0.51 "."
% 0.22/0.51 *
% 0.22/0.51 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-06T12:10:59
% 0.22/0.51 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-06T12:10:59
% 0.22/0.52
% 0.22/0.52 ; Recognized possible associativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?X ?U ?V)) (NOT (|sum| ?U ?W ?Y)) (NOT (|sum| ?V ?W ?Z))).
% 0.22/0.52 ; Recognized possible associativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?U ?V ?X)) (NOT (|sum| ?V ?Y ?W)) (NOT (|sum| ?U ?W ?Z))).
% 0.22/0.52 ; Recognized commutativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?Y ?X ?Z))).
% 0.22/0.52 ; Recognized possible associativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?X ?U ?V)) (NOT (|product| ?U ?W ?Y)) (NOT (|product| ?V ?W ?Z))).
% 0.22/0.52 ; Recognized possible associativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?U ?V ?X)) (NOT (|product| ?V ?Y ?W)) (NOT (|product| ?U ?W ?Z))).
% 0.22/0.53 ; Recognized commutativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?Y ?X ?Z))).
% 0.22/0.53 ; Declaring sum to be commutative.
% 0.39/0.56 ; Declaring product to be commutative.
% 0.39/0.56
% 0.39/0.56 #||
% 0.39/0.56 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/0.56 % SZS output start Refutation
% See solution above
% 0.39/0.56 ||#
% 0.39/0.56
% 0.39/0.56 ; Summary of computation:
% 0.39/0.56 ; 299 formulas have been input or derived (from 35 formulas).
% 0.39/0.56 ; 97 (32%) were retained. Of these,
% 0.39/0.56 ; 2 ( 2%) were simplified or subsumed later,
% 0.39/0.56 ; 95 (98%) are still being kept.
% 0.39/0.56 ;
% 0.39/0.56 ; Run time in seconds excluding printing time:
% 0.39/0.56 ; 0.006 11% Read assertion file (1 call)
% 0.39/0.56 ; 0.002 4% Assert (30 calls)
% 0.39/0.56 ; 0.010 18% Process new row (242 calls)
% 0.39/0.56 ; 0.008 14% Resolution (68 calls)
% 0.39/0.56 ; 0.001 2% Paramodulation (34 calls)
% 0.39/0.56 ; 0.001 2% Condensing (29 calls)
% 0.39/0.56 ; 0.000 0% Forward subsumption (29 calls)
% 0.39/0.56 ; 0.002 4% Backward subsumption (24 calls)
% 0.39/0.56 ; 0.001 2% Clause clause subsumption (10 calls)
% 0.39/0.56 ; 0.001 2% Forward simplification (242 calls)
% 0.39/0.56 ; 0.001 2% Backward simplification (97 calls)
% 0.39/0.57 ; 0.000 0% Ordering (14 calls)
% 0.39/0.57 ; 0.000 0% Sortal reasoning (32 calls)
% 0.39/0.57 ; 0.000 0% Purity testing (1 call)
% 0.39/0.57 ; 0.023 41% Other
% 0.39/0.57 ; 0.056 Total
% 0.39/0.57 ; 0.058 Real time
% 0.39/0.57 ;
% 0.39/0.57 ; Term-hash-array has 146 terms in all.
% 0.39/0.57 ; Feature-vector-row-index has 22 entries (24 at peak, 24 added, 2 deleted).
% 0.39/0.57 ; Feature-vector-row-index has 60 nodes (76 at peak, 76 added, 16 deleted).
% 0.39/0.57 ; Retrieved 10 possibly forward subsuming rows in 29 calls.
% 0.39/0.57 ; Retrieved 0 possibly backward subsumed rows in 24 calls.
% 0.39/0.57 ; Path-index has 149 entries (149 at peak, 152 added, 3 deleted).
% 0.39/0.57 ; Path-index has 137 nodes (137 at peak, 140 added, 3 deleted).
% 0.39/0.57 ; Trie-index has 149 entries (149 at peak, 152 added, 3 deleted).
% 0.39/0.57 ; Trie-index has 243 nodes (243 at peak, 247 added, 4 deleted).
% 0.39/0.57 ; Retrieved 141 generalization terms in 240 calls.
% 0.39/0.57 ; Retrieved 83 instance terms in 72 calls.
% 0.39/0.57 ; Retrieved 7,205 unifiable terms in 838 calls.
% 0.39/0.57 ;
% 0.39/0.57 ; The agenda of rows to process has 1 entry:
% 0.39/0.57 ; 1 with value 9
% 0.39/0.57 ; The agenda of rows to give has 60 entries:
% 0.39/0.57 ; 6 with value (4 6) 7 with value (4 8) 24 with value (4 9)
% 0.39/0.57 ; 23 with value (4 7)
% 0.39/0.57 Evaluation took:
% 0.39/0.57 0.058 seconds of real time
% 0.39/0.57 0.047154 seconds of user run time
% 0.39/0.57 0.011135 seconds of system run time
% 0.39/0.57 0 calls to %EVAL
% 0.39/0.57 0 page faults and
% 0.39/0.57 3,119,680 bytes consed.
% 0.39/0.57 :PROOF-FOUND
% 0.39/0.57 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-06T12:10:59
% 0.39/0.57 :PROOF-FOUND
% 0.39/0.57 *
%------------------------------------------------------------------------------