TSTP Solution File: FLD060-4 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : FLD060-4 : 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 02:27:16 EDT 2022
% Result : Unsatisfiable 9.92s 10.10s
% Output : Refutation 9.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 9
% Syntax : Number of clauses : 13 ( 10 unt; 0 nHn; 13 RR)
% Number of literals : 20 ( 0 equ; 8 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 : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(totality_of_addition,axiom,
( sum(X,Y,add(X,Y))
| ~ defined(X)
| ~ defined(Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',totality_of_addition) ).
cnf(transitivity_of_order_relation,axiom,
( less_or_equal(X,Y)
| ~ less_or_equal(X,Z)
| ~ less_or_equal(Z,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',transitivity_of_order_relation) ).
cnf(compatibility_of_order_relation_and_addition,axiom,
( less_or_equal(X,Y)
| ~ less_or_equal(Z,U)
| ~ sum(Z,V,X)
| ~ sum(U,V,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',compatibility_of_order_relation_and_addition) ).
cnf(a_is_defined,hypothesis,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
cnf(b_is_defined,hypothesis,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).
cnf(less_or_equal_5,negated_conjecture,
less_or_equal(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_5) ).
cnf(sum_6,negated_conjecture,
sum(a,a,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_6) ).
cnf(sum_7,negated_conjecture,
sum(b,b,v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_7) ).
cnf(not_less_or_equal_8,negated_conjecture,
~ less_or_equal(u,v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_less_or_equal_8) ).
cnf(147,plain,
sum(b,a,add(b,a)),
inference('HYPERRESOLVE',[status(thm)],[totality_of_addition,b_is_defined,a_is_defined]) ).
cnf(33360,plain,
less_or_equal(add(b,a),v),
inference('HYPERRESOLVE',[status(thm)],[compatibility_of_order_relation_and_addition,147,less_or_equal_5,sum_7]) ).
cnf(33361,plain,
less_or_equal(u,add(b,a)),
inference('HYPERRESOLVE',[status(thm)],[compatibility_of_order_relation_and_addition,147,less_or_equal_5,sum_6]) ).
cnf(43290,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[transitivity_of_order_relation,33360,not_less_or_equal_8]),33361]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : FLD060-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jun 6 20:46:29 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.47 *
% 0.21/0.47 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48 (USE-FACTORING :POS)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.48 *
% 0.21/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-06T20:46:29
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-06T20:46:29
% 0.21/0.50
% 0.21/0.50 ; Recognized possible associativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?X ?U ?V)) (NOT (|sum| ?U ?W ?Y)) (NOT (|sum| ?V ?W ?Z))).
% 0.21/0.50 ; Recognized possible associativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?U ?V ?X)) (NOT (|sum| ?V ?Y ?W)) (NOT (|sum| ?U ?W ?Z))).
% 0.21/0.50 ; Recognized commutativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?Y ?X ?Z))).
% 0.21/0.50 ; Recognized possible associativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?X ?U ?V)) (NOT (|product| ?U ?W ?Y)) (NOT (|product| ?V ?W ?Z))).
% 0.21/0.50 ; Recognized possible associativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?U ?V ?X)) (NOT (|product| ?V ?Y ?W)) (NOT (|product| ?U ?W ?Z))).
% 0.21/0.50 ; Recognized commutativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?Y ?X ?Z))).
% 0.21/0.50 ; Declaring sum to be commutative.
% 9.92/10.10 ; Declaring product to be commutative.
% 9.92/10.10
% 9.92/10.10 #||
% 9.92/10.10 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.92/10.10 % SZS output start Refutation
% See solution above
% 9.92/10.10 ||#
% 9.92/10.10
% 9.92/10.10 ; Summary of computation:
% 9.92/10.10 ; 92257 formulas have been input or derived (from 294 formulas).
% 9.92/10.10 ; 43290 (47%) were retained. Of these,
% 9.92/10.10 ; 120 ( 0%) were simplified or subsumed later,
% 9.92/10.10 ; 43170 (100%) are still being kept.
% 9.92/10.10 ;
% 9.92/10.10 ; Run time in seconds:
% 9.92/10.10 ; 0.007 0% Read assertion file (1 call)
% 9.92/10.10 ; 0.001 0% Assert (34 calls)
% 9.92/10.10 ; 2.998 31% Process new row (90,399 calls)
% 9.92/10.10 ; 4.698 49% Resolution (586 calls)
% 9.92/10.10 ; 0.006 0% Paramodulation (293 calls)
% 9.92/10.10 ; 0.000 0% Factoring (13 calls)
% 9.92/10.10 ; 0.009 0% Condensing (10,000 calls)
% 9.92/10.10 ; 0.468 5% Forward subsumption (10,000 calls)
% 9.92/10.10 ; 0.127 1% Backward subsumption (5,395 calls)
% 9.92/10.10 ; 0.052 1% Clause clause subsumption (44,858 calls)
% 9.92/10.10 ; 0.493 5% Forward simplification (90,399 calls)
% 9.92/10.10 ; 0.424 4% Backward simplification (43,290 calls)
% 9.92/10.10 ; 0.008 0% Ordering (6,266 calls)
% 9.92/10.10 ; 0.000 0% Sortal reasoning (32 calls)
% 9.92/10.10 ; 0.000 0% Purity testing (1 call)
% 9.92/10.10 ; 0.325 3% Other
% 9.92/10.10 ; 9.616 Total
% 9.92/10.10 ; 9.617 Real time
% 9.92/10.10 ;
% 9.92/10.10 ; Term-hash-array has 64,672 terms in all.
% 9.92/10.10 ; Feature-vector-row-index has 5,291 entries (5,291 at peak, 5,395 added, 104 deleted).
% 9.92/10.10 ; Feature-vector-row-index has 4,555 nodes (4,555 at peak, 4,593 added, 38 deleted).
% 9.92/10.10 ; Retrieved 87,503 possibly forward subsuming rows in 10,000 calls.
% 9.92/10.10 ; Retrieved 37,645 possibly backward subsumed rows in 5,395 calls.
% 9.92/10.10 ; Path-index has 64,599 entries (64,599 at peak, 64,729 added, 130 deleted).
% 9.92/10.10 ; Path-index has 1,406 nodes (1,406 at peak, 1,415 added, 9 deleted).
% 9.92/10.10 ; Trie-index has 64,599 entries (64,599 at peak, 64,729 added, 130 deleted).
% 9.92/10.10 ; Trie-index has 182,064 nodes (182,064 at peak, 182,228 added, 164 deleted).
% 9.92/10.10 ; Retrieved 42,517 generalization terms in 100,670 calls.
% 9.92/10.10 ; Retrieved 38,118 instance terms in 37,894 calls.
% 9.92/10.10 ; Retrieved 13,340,066 unifiable terms in 75,855 calls.
% 9.92/10.10 ;
% 9.92/10.10 ; The agenda of rows to process has 12 entries:
% 9.92/10.10 ; 1 with value 11 7 with value 12 4 with value 14
% 9.92/10.10 ; The agenda of rows to give has 42878 entries:
% 9.92/10.10 ; 30 with value (4 9) 5166 with value (4 15) 2499 with value (4 20)
% 9.92/10.10 ; 435 with value (4 10) 439 with value (4 16) 2826 with value (4 21)
% 9.92/10.10 ; 2203 with value (4 11) 2252 with value (4 17) 65 with value (4 22)
% 9.92/10.10 ; 2825 with value (4 12) 569 with value (4 18) 684 with value (4 23)
% 9.92/10.10 ; 11264 with value (4 13) 10678 with value (4 19) 9 with value (4 25)
% 9.92/10.10 ; 934 with value (4 14)
% 9.92/10.10 Evaluation took:
% 9.92/10.10 9.62 seconds of real time
% 9.92/10.10 8.989206 seconds of user run time
% 9.92/10.10 0.630769 seconds of system run time
% 9.92/10.10 [Run times include 1.488 seconds GC run time.]
% 9.92/10.10 0 calls to %EVAL
% 9.92/10.10 0 page faults and
% 9.92/10.10 566,440,600 bytes consed.
% 9.92/10.10 :PROOF-FOUND
% 9.92/10.10 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-06T20:46:39
% 9.92/10.10 :PROOF-FOUND
% 9.92/10.10 *
%------------------------------------------------------------------------------