TSTP Solution File: FLD032-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : FLD032-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n024.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 02:27:06 EDT 2022
% Result : Unsatisfiable 0.34s 0.53s
% Output : Refutation 0.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 7
% Syntax : Number of clauses : 10 ( 7 unt; 1 nHn; 10 RR)
% Number of literals : 16 ( 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/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(a_is_defined,hypothesis,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
cnf(not_sum_2,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_2) ).
cnf(product_3,negated_conjecture,
product(multiplicative_identity,multiplicative_inverse(a),multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_3) ).
cnf(not_product_4,negated_conjecture,
~ product(multiplicative_identity,a,multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_product_4) ).
cnf(30,plain,
product(multiplicative_identity,a,a),
inference('HYPERRESOLVE',[status(thm)],[existence_of_identity_multiplication,a_is_defined]) ).
cnf(83,plain,
product(multiplicative_inverse(a),a,multiplicative_identity),
inference('UR-RESOLVE',[status(thm)],[existence_of_inverse_multiplication,not_sum_2,a_is_defined]) ).
cnf(92,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[associativity_multiplication_1,30,not_product_4,product_3]),83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : FLD032-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n024.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 : Tue Jun 7 01:57:06 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 *
% 0.19/0.47 #<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 2022-06-07T01:57:06
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-07T01:57:06
% 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.
% 0.34/0.53 ; Declaring product to be commutative.
% 0.34/0.53
% 0.34/0.53 #||
% 0.34/0.53 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/0.53 % SZS output start Refutation
% See solution above
% 0.34/0.53 ||#
% 0.34/0.53
% 0.34/0.53 ; Summary of computation:
% 0.34/0.53 ; 254 formulas have been input or derived (from 34 formulas).
% 0.34/0.53 ; 92 (36%) were retained. Of these,
% 0.34/0.53 ; 2 ( 2%) were simplified or subsumed later,
% 0.34/0.53 ; 90 (98%) are still being kept.
% 0.34/0.53 ;
% 0.34/0.53 ; Run time in seconds:
% 0.34/0.53 ; 0.007 13% Read assertion file (1 call)
% 0.34/0.53 ; 0.001 2% Assert (30 calls)
% 0.34/0.53 ; 0.006 11% Process new row (200 calls)
% 0.34/0.53 ; 0.008 15% Resolution (66 calls)
% 0.34/0.53 ; 0.000 0% Paramodulation (33 calls)
% 0.34/0.53 ; 0.002 4% Condensing (29 calls)
% 0.34/0.53 ; 0.000 0% Forward subsumption (29 calls)
% 0.34/0.53 ; 0.000 0% Backward subsumption (24 calls)
% 0.34/0.53 ; 0.001 2% Clause clause subsumption (10 calls)
% 0.34/0.53 ; 0.000 0% Forward simplification (200 calls)
% 0.34/0.53 ; 0.001 2% Backward simplification (92 calls)
% 0.34/0.53 ; 0.000 0% Ordering (14 calls)
% 0.34/0.53 ; 0.001 2% Sortal reasoning (32 calls)
% 0.34/0.53 ; 0.000 0% Purity testing (1 call)
% 0.34/0.53 ; 0.027 50% Other
% 0.34/0.53 ; 0.054 Total
% 0.34/0.53 ; 0.056 Real time
% 0.34/0.53 ;
% 0.34/0.53 ; Term-hash-array has 141 terms in all.
% 0.34/0.53 ; Feature-vector-row-index has 22 entries (24 at peak, 24 added, 2 deleted).
% 0.34/0.53 ; Feature-vector-row-index has 60 nodes (76 at peak, 76 added, 16 deleted).
% 0.34/0.53 ; Retrieved 10 possibly forward subsuming rows in 29 calls.
% 0.34/0.53 ; Retrieved 0 possibly backward subsumed rows in 24 calls.
% 0.34/0.53 ; Path-index has 144 entries (144 at peak, 147 added, 3 deleted).
% 0.34/0.53 ; Path-index has 137 nodes (137 at peak, 140 added, 3 deleted).
% 0.34/0.53 ; Trie-index has 144 entries (144 at peak, 147 added, 3 deleted).
% 0.34/0.53 ; Trie-index has 237 nodes (237 at peak, 241 added, 4 deleted).
% 0.34/0.53 ; Retrieved 104 generalization terms in 198 calls.
% 0.34/0.53 ; Retrieved 72 instance terms in 67 calls.
% 0.34/0.53 ; Retrieved 6,270 unifiable terms in 750 calls.
% 0.34/0.53 ;
% 0.34/0.53 ; The agenda of rows to process has 3 entries:
% 0.34/0.53 ; 3 with value 9
% 0.34/0.53 ; The agenda of rows to give has 56 entries:
% 0.34/0.53 ; 7 with value (4 6) 5 with value (4 8) 24 with value (4 9)
% 0.34/0.53 ; 20 with value (4 7)
% 0.34/0.53 Evaluation took:
% 0.34/0.53 0.057 seconds of real time
% 0.34/0.53 0.046431 seconds of user run time
% 0.34/0.53 0.00927 seconds of system run time
% 0.34/0.53 0 calls to %EVAL
% 0.34/0.53 0 page faults and
% 0.34/0.53 2,988,568 bytes consed.
% 0.34/0.53 :PROOF-FOUND
% 0.34/0.53 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T01:57:06
% 0.34/0.53 :PROOF-FOUND
% 0.34/0.53 *
%------------------------------------------------------------------------------