TSTP Solution File: FLD040-5 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : FLD040-5 : 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 02:27:08 EDT 2022
% Result : Unsatisfiable 0.77s 0.94s
% Output : Refutation 0.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 11
% Syntax : Number of clauses : 19 ( 13 unt; 1 nHn; 19 RR)
% Number of literals : 31 ( 0 equ; 15 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 : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 17 ( 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/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_addition_1) ).
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(existence_of_inverse_addition,axiom,
( sum(additive_inverse(X),X,additive_identity)
| ~ defined(X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_addition) ).
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_multiplicative_identity,axiom,
defined(multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',well_definedness_of_multiplicative_identity) ).
cnf(different_identities,axiom,
~ sum(additive_identity,additive_identity,multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',different_identities) ).
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(sum_3,negated_conjecture,
sum(additive_identity,multiplicative_inverse(a),additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_3) ).
cnf(27,plain,
sum(additive_identity,multiplicative_identity,multiplicative_identity),
inference('HYPERRESOLVE',[status(thm)],[existence_of_identity_addition,well_definedness_of_multiplicative_identity]) ).
cnf(29,plain,
product(multiplicative_identity,a,a),
inference('HYPERRESOLVE',[status(thm)],[existence_of_identity_multiplication,a_is_defined]) ).
cnf(35,plain,
sum(additive_inverse(a),a,additive_identity),
inference('HYPERRESOLVE',[status(thm)],[existence_of_inverse_addition,a_is_defined]) ).
cnf(82,plain,
product(multiplicative_inverse(a),a,multiplicative_identity),
inference('UR-RESOLVE',[status(thm)],[existence_of_inverse_multiplication,not_sum_2,a_is_defined]) ).
cnf(89,plain,
~ sum(additive_identity,multiplicative_identity,additive_identity),
inference('UR-RESOLVE',[status(thm)],[associativity_addition_1,27,different_identities,27]) ).
cnf(92,plain,
sum(multiplicative_inverse(a),multiplicative_identity,multiplicative_identity),
inference('HYPERRESOLVE',[status(thm)],[associativity_addition_1,27,sum_3,27]) ).
cnf(3258,plain,
~ sum(multiplicative_identity,a,a),
inference('UR-RESOLVE',[status(thm)],[associativity_addition_1,35,89,35]) ).
cnf(3333,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[distributivity_1,3258,29,82,29]),92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : FLD040-5 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.12/0.32 % Computer : n028.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Mon Jun 6 20:39:59 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.18/0.43 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.45 #<PACKAGE "SNARK-USER">
% 0.18/0.45 *
% 0.18/0.45 SNARK-TPTP-OPTIONS
% 0.18/0.45 *
% 0.18/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.45 (USE-FACTORING :POS)
% 0.18/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.45 *
% 0.18/0.45 "."
% 0.18/0.45 *
% 0.18/0.45 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-06T20:39:59
% 0.18/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-06T20:39:59
% 0.18/0.47
% 0.18/0.47 ; Recognized possible associativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?X ?U ?V)) (NOT (|sum| ?U ?W ?Y)) (NOT (|sum| ?V ?W ?Z))).
% 0.18/0.47 ; Recognized possible associativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?U ?V ?X)) (NOT (|sum| ?V ?Y ?W)) (NOT (|sum| ?U ?W ?Z))).
% 0.18/0.47 ; Recognized commutativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?Y ?X ?Z))).
% 0.18/0.47 ; Recognized possible associativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?X ?U ?V)) (NOT (|product| ?U ?W ?Y)) (NOT (|product| ?V ?W ?Z))).
% 0.18/0.47 ; Recognized possible associativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?U ?V ?X)) (NOT (|product| ?V ?Y ?W)) (NOT (|product| ?U ?W ?Z))).
% 0.18/0.47 ; Recognized commutativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?Y ?X ?Z))).
% 0.18/0.47 ; Declaring sum to be commutative.
% 0.77/0.94 ; Declaring product to be commutative.
% 0.77/0.94
% 0.77/0.94 #||
% 0.77/0.94 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.77/0.94 % SZS output start Refutation
% See solution above
% 0.77/0.94 ||#
% 0.77/0.94
% 0.77/0.94 ; Summary of computation:
% 0.77/0.94 ; 7240 formulas have been input or derived (from 74 formulas).
% 0.77/0.94 ; 3333 (46%) were retained. Of these,
% 0.77/0.94 ; 11 ( 0%) were simplified or subsumed later,
% 0.77/0.94 ; 3322 (100%) are still being kept.
% 0.77/0.94 ;
% 0.77/0.94 ; Run time in seconds excluding printing time:
% 0.77/0.94 ; 0.007 1% Read assertion file (1 call)
% 0.77/0.94 ; 0.001 0% Assert (29 calls)
% 0.77/0.94 ; 0.182 37% Process new row (6,988 calls)
% 0.77/0.94 ; 0.117 24% Resolution (146 calls)
% 0.77/0.94 ; 0.000 0% Paramodulation (73 calls)
% 0.77/0.94 ; 0.002 0% Condensing (714 calls)
% 0.77/0.94 ; 0.040 8% Forward subsumption (714 calls)
% 0.77/0.94 ; 0.006 1% Backward subsumption (388 calls)
% 0.77/0.94 ; 0.002 0% Clause clause subsumption (1,398 calls)
% 0.77/0.94 ; 0.054 11% Forward simplification (6,988 calls)
% 0.77/0.94 ; 0.023 5% Backward simplification (3,333 calls)
% 0.77/0.94 ; 0.000 0% Ordering (362 calls)
% 0.77/0.94 ; 0.000 0% Sortal reasoning (32 calls)
% 0.77/0.94 ; 0.000 0% Purity testing (1 call)
% 0.77/0.94 ; 0.052 11% Other
% 0.77/0.94 ; 0.486 Total
% 0.77/0.94 ; 0.486 Real time
% 0.77/0.94 ;
% 0.77/0.94 ; Term-hash-array has 5,094 terms in all.
% 0.77/0.94 ; Feature-vector-row-index has 380 entries (386 at peak, 388 added, 8 deleted).
% 0.77/0.94 ; Feature-vector-row-index has 703 nodes (733 at peak, 749 added, 46 deleted).
% 0.77/0.94 ; Retrieved 1,386 possibly forward subsuming rows in 714 calls.
% 0.77/0.94 ; Retrieved 512 possibly backward subsumed rows in 388 calls.
% 0.77/0.94 ; Path-index has 5,094 entries (5,094 at peak, 5,109 added, 15 deleted).
% 0.77/0.94 ; Path-index has 704 nodes (704 at peak, 716 added, 12 deleted).
% 0.77/0.94 ; Trie-index has 5,094 entries (5,094 at peak, 5,109 added, 15 deleted).
% 0.77/0.94 ; Trie-index has 14,603 nodes (14,603 at peak, 14,628 added, 25 deleted).
% 0.77/0.94 ; Retrieved 3,330 generalization terms in 7,675 calls.
% 0.77/0.94 ; Retrieved 2,975 instance terms in 2,944 calls.
% 0.77/0.94 ; Retrieved 263,938 unifiable terms in 4,194 calls.
% 0.77/0.94 ;
% 0.77/0.94 ; The agenda of rows to process has 5 entries:
% 0.77/0.94 ; 5 with value 11
% 0.77/0.94 ; The agenda of rows to give has 3250 entries:
% 0.77/0.94 ; 3 with value (4 8) 708 with value (4 13) 108 with value (4 18)
% 0.77/0.94 ; 64 with value (4 9) 33 with value (4 14) 648 with value (4 19)
% 0.77/0.94 ; 120 with value (4 10) 266 with value (4 15) 153 with value (4 20)
% 0.77/0.94 ; 301 with value (4 11) 64 with value (4 16) 18 with value (4 22)
% 0.77/0.94 ; 404 with value (4 12) 360 with value (4 17)
% 0.77/0.94 Evaluation took:
% 0.77/0.94 0.487 seconds of real time
% 0.77/0.94 0.441802 seconds of user run time
% 0.77/0.94 0.045321 seconds of system run time
% 0.77/0.94 [Run times include 0.028 seconds GC run time.]
% 0.77/0.94 0 calls to %EVAL
% 0.77/0.94 0 page faults and
% 0.77/0.94 34,361,384 bytes consed.
% 0.77/0.94 :PROOF-FOUND
% 0.77/0.94 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-06T20:40:00
% 0.77/0.94 :PROOF-FOUND
% 0.77/0.94 *
%------------------------------------------------------------------------------