TSTP Solution File: FLD061-4 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : FLD061-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 02:27:17 EDT 2022
% Result : Unsatisfiable 39.65s 39.85s
% Output : Refutation 39.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 10
% Syntax : Number of clauses : 14 ( 11 unt; 0 nHn; 14 RR)
% Number of literals : 21 ( 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 : 7 ( 7 usr; 6 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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/FLD002-0.ax',compatibility_of_order_relation_and_addition) ).
cnf(a_is_defined,hypothesis,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
cnf(d_is_defined,hypothesis,
defined(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_is_defined) ).
cnf(less_or_equal_7,negated_conjecture,
less_or_equal(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_7) ).
cnf(less_or_equal_8,negated_conjecture,
less_or_equal(c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_8) ).
cnf(sum_9,negated_conjecture,
sum(a,c,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_9) ).
cnf(sum_10,negated_conjecture,
sum(d,b,v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_10) ).
cnf(not_less_or_equal_11,negated_conjecture,
~ less_or_equal(u,v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_or_equal_11) ).
cnf(222,plain,
sum(d,a,add(d,a)),
inference('HYPERRESOLVE',[status(thm)],[totality_of_addition,d_is_defined,a_is_defined]) ).
cnf(95938,plain,
less_or_equal(add(d,a),v),
inference('HYPERRESOLVE',[status(thm)],[compatibility_of_order_relation_and_addition,222,less_or_equal_7,sum_10]) ).
cnf(95939,plain,
less_or_equal(u,add(d,a)),
inference('HYPERRESOLVE',[status(thm)],[compatibility_of_order_relation_and_addition,222,less_or_equal_8,sum_9]) ).
cnf(116234,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[transitivity_of_order_relation,95938,not_less_or_equal_11]),95939]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : FLD061-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n018.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 12:08:05 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-06T12:08:05
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-06T12:08:05
% 0.18/0.48
% 0.18/0.48 ; Recognized possible associativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?X ?U ?V)) (NOT (|sum| ?U ?W ?Y)) (NOT (|sum| ?V ?W ?Z))).
% 0.18/0.48 ; Recognized possible associativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?U ?V ?X)) (NOT (|sum| ?V ?Y ?W)) (NOT (|sum| ?U ?W ?Z))).
% 0.18/0.48 ; Recognized commutativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?Y ?X ?Z))).
% 0.18/0.48 ; Recognized possible associativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?X ?U ?V)) (NOT (|product| ?U ?W ?Y)) (NOT (|product| ?V ?W ?Z))).
% 0.18/0.48 ; Recognized possible associativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?U ?V ?X)) (NOT (|product| ?V ?Y ?W)) (NOT (|product| ?U ?W ?Z))).
% 0.18/0.48 ; Recognized commutativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?Y ?X ?Z))).
% 0.18/0.48 ; Declaring sum to be commutative.
% 39.65/39.85 ; Declaring product to be commutative.
% 39.65/39.85
% 39.65/39.85 #||
% 39.65/39.85 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 39.65/39.85 % SZS output start Refutation
% See solution above
% 39.65/39.85 ||#
% 39.65/39.85
% 39.65/39.85 ; Summary of computation:
% 39.65/39.85 ; 241337 formulas have been input or derived (from 456 formulas).
% 39.65/39.85 ; 116234 (48%) were retained. Of these,
% 39.65/39.85 ; 195 ( 0%) were simplified or subsumed later,
% 39.65/39.85 ; 116039 (100%) are still being kept.
% 39.65/39.85 ;
% 39.65/39.85 ; Run time in seconds excluding printing time:
% 39.65/39.85 ; 0.007 0% Read assertion file (1 call)
% 39.65/39.85 ; 0.002 0% Assert (37 calls)
% 39.65/39.85 ; 7.502 19% Process new row (238,423 calls)
% 39.65/39.85 ; 25.272 64% Resolution (910 calls)
% 39.65/39.85 ; 0.008 0% Paramodulation (455 calls)
% 39.65/39.85 ; 0.000 0% Factoring (25 calls)
% 39.65/39.85 ; 0.037 0% Condensing (27,053 calls)
% 39.65/39.85 ; 1.537 4% Forward subsumption (27,053 calls)
% 39.65/39.85 ; 0.528 1% Backward subsumption (14,459 calls)
% 39.65/39.85 ; 0.179 0% Clause clause subsumption (143,286 calls)
% 39.65/39.85 ; 1.666 4% Forward simplification (238,423 calls)
% 39.65/39.85 ; 1.881 5% Backward simplification (116,234 calls)
% 39.65/39.85 ; 0.020 0% Ordering (14,102 calls)
% 39.65/39.85 ; 0.000 0% Sortal reasoning (32 calls)
% 39.65/39.85 ; 0.000 0% Purity testing (1 call)
% 39.65/39.85 ; 0.753 2% Other
% 39.65/39.85 ; 39.392 Total
% 39.65/39.85 ; 39.396 Real time
% 39.65/39.86 ;
% 39.65/39.86 ; Term-hash-array has 175,208 terms in all.
% 39.65/39.86 ; Feature-vector-row-index has 14,284 entries (14,284 at peak, 14,459 added, 175 deleted).
% 39.65/39.86 ; Feature-vector-row-index has 7,274 nodes (7,274 at peak, 7,288 added, 14 deleted).
% 39.65/39.86 ; Retrieved 448,871 possibly forward subsuming rows in 27,053 calls.
% 39.65/39.86 ; Retrieved 203,854 possibly backward subsumed rows in 14,459 calls.
% 39.65/39.86 ; Path-index has 175,081 entries (175,081 at peak, 175,286 added, 205 deleted).
% 39.65/39.86 ; Path-index has 1,734 nodes (1,734 at peak, 1,743 added, 9 deleted).
% 39.65/39.86 ; Trie-index has 175,081 entries (175,081 at peak, 175,286 added, 205 deleted).
% 39.65/39.86 ; Trie-index has 487,083 nodes (487,083 at peak, 487,322 added, 239 deleted).
% 39.65/39.86 ; Retrieved 109,618 generalization terms in 266,127 calls.
% 39.65/39.86 ; Retrieved 102,050 instance terms in 101,774 calls.
% 39.65/39.86 ; Retrieved 58,093,505 unifiable terms in 165,557 calls.
% 39.65/39.86 ;
% 39.65/39.86 ; The agenda of rows to process has 14 entries:
% 39.65/39.86 ; 1 with value 11 7 with value 12 6 with value 14
% 39.65/39.86 ; The agenda of rows to give has 115585 entries:
% 39.65/39.86 ; 50 with value (4 9) 11652 with value (4 15) 8014 with value (4 20)
% 39.65/39.86 ; 703 with value (4 10) 1036 with value (4 16) 5984 with value (4 21)
% 39.65/39.86 ; 4895 with value (4 11) 5002 with value (4 17) 121 with value (4 22)
% 39.65/39.86 ; 6055 with value (4 12) 1273 with value (4 18) 1463 with value (4 23)
% 39.65/39.86 ; 34370 with value (4 13) 33258 with value (4 19) 11 with value (4 25)
% 39.65/39.86 ; 1698 with value (4 14)
% 39.65/39.86 Evaluation took:
% 39.65/39.86 39.399 seconds of real time
% 39.65/39.86 37.525295 seconds of user run time
% 39.65/39.86 1.872172 seconds of system run time
% 39.65/39.86 [Run times include 6.585 seconds GC run time.]
% 39.65/39.86 0 calls to %EVAL
% 39.65/39.86 0 page faults and
% 39.65/39.86 1,750,553,704 bytes consed.
% 39.65/39.86 :PROOF-FOUND
% 39.65/39.86 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-06T12:08:44
% 39.65/39.86 :PROOF-FOUND
% 39.65/39.86 *
%------------------------------------------------------------------------------