TSTP Solution File: FLD005-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : FLD005-3 : 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 02:26:55 EDT 2022
% Result : Unsatisfiable 1.37s 1.59s
% Output : Refutation 1.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of clauses : 14 ( 9 unt; 0 nHn; 14 RR)
% Number of literals : 22 ( 0 equ; 10 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 13 ( 2 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(well_definedness_of_additive_inverse,axiom,
( defined(additive_inverse(X))
| ~ defined(X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',well_definedness_of_additive_inverse) ).
cnf(totality_of_addition,axiom,
( sum(X,Y,add(X,Y))
| ~ defined(X)
| ~ defined(Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',totality_of_addition) ).
cnf(a_is_defined,hypothesis,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
cnf(b_is_defined,hypothesis,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
cnf(not_sum_3,negated_conjecture,
~ sum(a,X,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_3) ).
cnf(26,plain,
sum(additive_identity,b,b),
inference('HYPERRESOLVE',[status(thm)],[existence_of_identity_addition,b_is_defined]) ).
cnf(35,plain,
defined(additive_inverse(a)),
inference('HYPERRESOLVE',[status(thm)],[well_definedness_of_additive_inverse,a_is_defined]) ).
cnf(39,plain,
sum(additive_inverse(a),a,additive_identity),
inference('HYPERRESOLVE',[status(thm)],[existence_of_inverse_addition,a_is_defined]) ).
cnf(214,plain,
sum(additive_inverse(a),b,add(additive_inverse(a),b)),
inference('HYPERRESOLVE',[status(thm)],[totality_of_addition,35,b_is_defined]) ).
cnf(8261,plain,
~ sum(additive_inverse(a),b,X),
inference('UR-RESOLVE',[status(thm)],[associativity_addition_1,39,not_sum_3,26]) ).
cnf(8262,plain,
$false,
inference('REWRITE',[status(thm)],[214,8261]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : FLD005-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.10/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 6 11:17:05 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-06T11:17:05
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-06T11:17:05
% 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.
% 1.37/1.59 ; Declaring product to be commutative.
% 1.37/1.59
% 1.37/1.59 #||
% 1.37/1.59 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.37/1.59 % SZS output start Refutation
% See solution above
% 1.37/1.59 ||#
% 1.37/1.59
% 1.37/1.59 ; Summary of computation:
% 1.37/1.59 ; 17178 formulas have been input or derived (from 89 formulas).
% 1.37/1.59 ; 8262 (48%) were retained. Of these,
% 1.37/1.59 ; 6 ( 0%) were simplified or subsumed later,
% 1.37/1.59 ; 8256 (100%) are still being kept.
% 1.37/1.59 ;
% 1.37/1.59 ; Run time in seconds excluding printing time:
% 1.37/1.59 ; 0.006 1% Read assertion file (1 call)
% 1.37/1.59 ; 0.001 0% Assert (29 calls)
% 1.37/1.59 ; 0.423 38% Process new row (16,935 calls)
% 1.37/1.59 ; 0.320 28% Resolution (176 calls)
% 1.37/1.59 ; 0.000 0% Paramodulation (88 calls)
% 1.37/1.59 ; 0.003 0% Condensing (1,822 calls)
% 1.37/1.59 ; 0.059 5% Forward subsumption (1,822 calls)
% 1.37/1.59 ; 0.067 6% Backward subsumption (960 calls)
% 1.37/1.59 ; 0.012 1% Clause clause subsumption (5,275 calls)
% 1.37/1.59 ; 0.107 10% Forward simplification (16,935 calls)
% 1.37/1.59 ; 0.047 4% Backward simplification (8,262 calls)
% 1.37/1.59 ; 0.000 0% Ordering (482 calls)
% 1.37/1.59 ; 0.000 0% Sortal reasoning (32 calls)
% 1.37/1.59 ; 0.000 0% Purity testing (1 call)
% 1.37/1.59 ; 0.079 7% Other
% 1.37/1.59 ; 1.124 Total
% 1.37/1.59 ; 1.126 Real time
% 1.37/1.59 ;
% 1.37/1.59 ; Term-hash-array has 12,792 terms in all.
% 1.37/1.59 ; Feature-vector-row-index has 956 entries (956 at peak, 960 added, 4 deleted).
% 1.37/1.59 ; Feature-vector-row-index has 767 nodes (767 at peak, 791 added, 24 deleted).
% 1.37/1.59 ; Retrieved 13,387 possibly forward subsuming rows in 1,822 calls.
% 1.37/1.59 ; Retrieved 5,958 possibly backward subsumed rows in 960 calls.
% 1.37/1.59 ; Path-index has 12,794 entries (12,796 at peak, 12,802 added, 8 deleted).
% 1.37/1.59 ; Path-index has 848 nodes (848 at peak, 854 added, 6 deleted).
% 1.37/1.59 ; Trie-index has 12,794 entries (12,796 at peak, 12,802 added, 8 deleted).
% 1.37/1.59 ; Trie-index has 36,130 nodes (36,138 at peak, 36,146 added, 16 deleted).
% 1.37/1.59 ; Retrieved 7,809 generalization terms in 18,725 calls.
% 1.37/1.59 ; Retrieved 7,314 instance terms in 7,301 calls.
% 1.37/1.59 ; Retrieved 958,686 unifiable terms in 4,331 calls.
% 1.37/1.59 ;
% 1.37/1.59 ; The agenda of rows to process has 14 entries:
% 1.37/1.59 ; 1 with value 9 9 with value 10 4 with value 11
% 1.37/1.59 ; The agenda of rows to give has 8167 entries:
% 1.37/1.59 ; 2 with value (4 7) 838 with value (4 12) 768 with value (4 17)
% 1.37/1.59 ; 10 with value (4 8) 2143 with value (4 13) 224 with value (4 18)
% 1.37/1.59 ; 54 with value (4 9) 56 with value (4 14) 2053 with value (4 19)
% 1.37/1.59 ; 140 with value (4 10) 584 with value (4 15) 496 with value (4 20)
% 1.37/1.59 ; 619 with value (4 11) 148 with value (4 16) 32 with value (4 22)
% 1.37/1.59 Evaluation took:
% 1.37/1.59 1.127 seconds of real time
% 1.37/1.59 1.021416 seconds of user run time
% 1.37/1.59 0.105125 seconds of system run time
% 1.37/1.59 [Run times include 0.124 seconds GC run time.]
% 1.37/1.59 0 calls to %EVAL
% 1.37/1.59 0 page faults and
% 1.37/1.59 84,997,592 bytes consed.
% 1.37/1.59 :PROOF-FOUND
% 1.37/1.59 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-06T11:17:06
% 1.37/1.59 :PROOF-FOUND
% 1.37/1.59 *
%------------------------------------------------------------------------------