TSTP Solution File: FLD007-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : FLD007-3 : 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 02:26:56 EDT 2022
% Result : Unsatisfiable 0.70s 0.92s
% Output : Refutation 0.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 11 ( 7 unt; 0 nHn; 11 RR)
% Number of literals : 17 ( 0 equ; 7 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 9 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(associativity_addition_1,axiom,
( sum(X,Y,Z)
| ~ sum(X,U,V)
| ~ sum(U,W,Y)
| ~ sum(V,W,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',associativity_addition_1) ).
cnf(existence_of_identity_addition,axiom,
( sum(additive_identity,X,X)
| ~ defined(X) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_identity_addition) ).
cnf(existence_of_inverse_addition,axiom,
( sum(additive_inverse(X),X,additive_identity)
| ~ defined(X) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_addition) ).
cnf(well_definedness_of_additive_inverse,axiom,
( defined(additive_inverse(X))
| ~ defined(X) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',well_definedness_of_additive_inverse) ).
cnf(a_is_defined,hypothesis,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
cnf(not_sum_2,negated_conjecture,
~ sum(additive_identity,additive_inverse(additive_inverse(a)),a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_2) ).
cnf(25,plain,
sum(additive_identity,a,a),
inference('HYPERRESOLVE',[status(thm)],[existence_of_identity_addition,a_is_defined]) ).
cnf(31,plain,
defined(additive_inverse(a)),
inference('HYPERRESOLVE',[status(thm)],[well_definedness_of_additive_inverse,a_is_defined]) ).
cnf(34,plain,
sum(additive_inverse(a),a,additive_identity),
inference('HYPERRESOLVE',[status(thm)],[existence_of_inverse_addition,a_is_defined]) ).
cnf(108,plain,
sum(additive_inverse(additive_inverse(a)),additive_inverse(a),additive_identity),
inference('HYPERRESOLVE',[status(thm)],[existence_of_inverse_addition,31]) ).
cnf(3007,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[associativity_addition_1,34,not_sum_2,25]),108]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : FLD007-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n028.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 6 19:46:59 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 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/sandbox/benchmark/theBenchmark.p 2022-06-06T19:46:59
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-06T19:46:59
% 0.19/0.48
% 0.19/0.48 ; Recognized possible associativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?X ?U ?V)) (NOT (|sum| ?U ?W ?Y)) (NOT (|sum| ?V ?W ?Z))).
% 0.19/0.48 ; Recognized possible associativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?U ?V ?X)) (NOT (|sum| ?V ?Y ?W)) (NOT (|sum| ?U ?W ?Z))).
% 0.19/0.48 ; Recognized commutativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?Y ?X ?Z))).
% 0.19/0.48 ; Recognized possible associativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?X ?U ?V)) (NOT (|product| ?U ?W ?Y)) (NOT (|product| ?V ?W ?Z))).
% 0.19/0.48 ; Recognized possible associativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?U ?V ?X)) (NOT (|product| ?V ?Y ?W)) (NOT (|product| ?U ?W ?Z))).
% 0.19/0.48 ; Recognized commutativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?Y ?X ?Z))).
% 0.19/0.48 ; Declaring sum to be commutative.
% 0.70/0.92 ; Declaring product to be commutative.
% 0.70/0.92
% 0.70/0.92 #||
% 0.70/0.92 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.70/0.92 % SZS output start Refutation
% See solution above
% 0.70/0.92 ||#
% 0.70/0.92
% 0.70/0.92 ; Summary of computation:
% 0.70/0.92 ; 6355 formulas have been input or derived (from 60 formulas).
% 0.70/0.92 ; 3007 (47%) were retained. Of these,
% 0.70/0.92 ; 2 ( 0%) were simplified or subsumed later,
% 0.70/0.92 ; 3005 (100%) are still being kept.
% 0.70/0.92 ;
% 0.70/0.92 ; Run time in seconds excluding printing time:
% 0.70/0.92 ; 0.006 1% Read assertion file (1 call)
% 0.70/0.92 ; 0.002 0% Assert (28 calls)
% 0.70/0.92 ; 0.188 41% Process new row (6,221 calls)
% 0.70/0.92 ; 0.113 25% Resolution (118 calls)
% 0.70/0.92 ; 0.000 0% Paramodulation (59 calls)
% 0.70/0.92 ; 0.005 1% Condensing (666 calls)
% 0.70/0.92 ; 0.026 6% Forward subsumption (666 calls)
% 0.70/0.92 ; 0.009 2% Backward subsumption (365 calls)
% 0.70/0.92 ; 0.004 1% Clause clause subsumption (1,327 calls)
% 0.70/0.92 ; 0.034 7% Forward simplification (6,221 calls)
% 0.70/0.92 ; 0.020 4% Backward simplification (3,007 calls)
% 0.70/0.92 ; 0.000 0% Ordering (192 calls)
% 0.70/0.92 ; 0.000 0% Sortal reasoning (32 calls)
% 0.70/0.92 ; 0.000 0% Purity testing (1 call)
% 0.70/0.92 ; 0.047 10% Other
% 0.70/0.92 ; 0.454 Total
% 0.70/0.92 ; 0.456 Real time
% 0.70/0.92 ;
% 0.70/0.92 ; Term-hash-array has 4,650 terms in all.
% 0.70/0.92 ; Feature-vector-row-index has 363 entries (363 at peak, 365 added, 2 deleted).
% 0.70/0.92 ; Feature-vector-row-index has 709 nodes (709 at peak, 721 added, 12 deleted).
% 0.70/0.92 ; Retrieved 1,315 possibly forward subsuming rows in 666 calls.
% 0.70/0.92 ; Retrieved 489 possibly backward subsumed rows in 365 calls.
% 0.70/0.92 ; Path-index has 4,653 entries (4,653 at peak, 4,656 added, 3 deleted).
% 0.70/0.92 ; Path-index has 688 nodes (688 at peak, 691 added, 3 deleted).
% 0.70/0.92 ; Trie-index has 4,653 entries (4,653 at peak, 4,656 added, 3 deleted).
% 0.70/0.92 ; Trie-index has 13,538 nodes (13,538 at peak, 13,542 added, 4 deleted).
% 0.70/0.92 ; Retrieved 2,912 generalization terms in 6,856 calls.
% 0.70/0.92 ; Retrieved 2,644 instance terms in 2,641 calls.
% 0.70/0.92 ; Retrieved 208,453 unifiable terms in 2,270 calls.
% 0.70/0.92 ;
% 0.70/0.92 ; The agenda of rows to give has 2945 entries:
% 0.70/0.92 ; 5 with value (4 8) 697 with value (4 13) 90 with value (4 18)
% 0.70/0.92 ; 30 with value (4 9) 30 with value (4 14) 651 with value (4 19)
% 0.70/0.92 ; 74 with value (4 10) 248 with value (4 15) 153 with value (4 20)
% 0.70/0.92 ; 270 with value (4 11) 63 with value (4 16) 18 with value (4 22)
% 0.70/0.92 ; 328 with value (4 12) 288 with value (4 17)
% 0.70/0.92 Evaluation took:
% 0.70/0.92 0.456 seconds of real time
% 0.70/0.92 0.40327 seconds of user run time
% 0.70/0.92 0.052812 seconds of system run time
% 0.70/0.92 [Run times include 0.026 seconds GC run time.]
% 0.70/0.92 0 calls to %EVAL
% 0.70/0.92 0 page faults and
% 0.70/0.92 30,227,224 bytes consed.
% 0.70/0.92 :PROOF-FOUND
% 0.70/0.92 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-06T19:46:59
% 0.70/0.92 :PROOF-FOUND
% 0.70/0.92 *
%------------------------------------------------------------------------------