TSTP Solution File: FLD050-4 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : FLD050-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 02:27:12 EDT 2022
% Result : Unsatisfiable 30.10s 30.29s
% Output : Refutation 30.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 13
% Syntax : Number of clauses : 20 ( 17 unt; 1 nHn; 20 RR)
% Number of literals : 26 ( 0 equ; 9 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 : 9 ( 9 usr; 8 con; 0-1 aty)
% Number of variables : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(associativity_multiplication_1,axiom,
( product(X,Y,Z)
| ~ product(X,U,V)
| ~ product(U,W,Y)
| ~ product(V,W,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',associativity_multiplication_1) ).
cnf(existence_of_identity_multiplication,axiom,
( product(multiplicative_identity,X,X)
| ~ defined(X) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_multiplication) ).
cnf(b_is_defined,hypothesis,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).
cnf(c_is_defined,hypothesis,
defined(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_is_defined) ).
cnf(d_is_defined,hypothesis,
defined(d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_is_defined) ).
cnf(s_is_defined,hypothesis,
defined(s),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s_is_defined) ).
cnf(not_sum_7,negated_conjecture,
~ sum(additive_identity,b,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_7) ).
cnf(not_sum_8,negated_conjecture,
~ sum(additive_identity,d,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_8) ).
cnf(product_9,negated_conjecture,
product(a,multiplicative_inverse(b),s),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_9) ).
cnf(product_10,negated_conjecture,
product(a,d,k),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_10) ).
cnf(product_11,negated_conjecture,
product(b,c,k),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_11) ).
cnf(not_product_12,negated_conjecture,
~ product(c,multiplicative_inverse(d),s),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_product_12) ).
cnf(43,plain,
product(multiplicative_identity,s,s),
inference('HYPERRESOLVE',[status(thm)],[existence_of_identity_multiplication,s_is_defined]) ).
cnf(46,plain,
product(multiplicative_identity,c,c),
inference('HYPERRESOLVE',[status(thm)],[existence_of_identity_multiplication,c_is_defined]) ).
cnf(366,plain,
product(multiplicative_inverse(b),b,multiplicative_identity),
inference('UR-RESOLVE',[status(thm)],[existence_of_inverse_multiplication,not_sum_7,b_is_defined]) ).
cnf(367,plain,
product(multiplicative_inverse(d),d,multiplicative_identity),
inference('UR-RESOLVE',[status(thm)],[existence_of_inverse_multiplication,not_sum_8,d_is_defined]) ).
cnf(98384,plain,
product(multiplicative_inverse(b),k,c),
inference('HYPERRESOLVE',[status(thm)],[associativity_multiplication_1,366,product_11,46]) ).
cnf(98389,plain,
~ product(d,s,c),
inference('UR-RESOLVE',[status(thm)],[associativity_multiplication_1,367,not_product_12,43]) ).
cnf(98395,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[associativity_multiplication_1,98389,product_10,product_9]),98384]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : FLD050-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n025.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 7 04:26:33 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 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/sandbox/benchmark/theBenchmark.p 2022-06-07T04:26:33
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-07T04:26:33
% 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.
% 30.10/30.29 ; Declaring product to be commutative.
% 30.10/30.29
% 30.10/30.29 #||
% 30.10/30.29 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 30.10/30.29 % SZS output start Refutation
% See solution above
% 30.10/30.29 ||#
% 30.10/30.29
% 30.10/30.29 ; Summary of computation:
% 30.10/30.29 ; 198794 formulas have been input or derived (from 235 formulas).
% 30.10/30.29 ; 98395 (49%) were retained. Of these,
% 30.10/30.29 ; 26 ( 0%) were simplified or subsumed later,
% 30.10/30.29 ; 98369 (100%) are still being kept.
% 30.10/30.29 ;
% 30.10/30.29 ; Run time in seconds excluding printing time:
% 30.10/30.29 ; 0.007 0% Read assertion file (1 call)
% 30.10/30.29 ; 0.001 0% Assert (38 calls)
% 30.10/30.29 ; 6.649 22% Process new row (198,138 calls)
% 30.10/30.30 ; 17.576 59% Resolution (468 calls)
% 30.10/30.30 ; 0.007 0% Paramodulation (234 calls)
% 30.10/30.30 ; 0.027 0% Condensing (21,768 calls)
% 30.10/30.30 ; 1.176 4% Forward subsumption (21,768 calls)
% 30.10/30.30 ; 0.427 1% Backward subsumption (11,036 calls)
% 30.10/30.30 ; 0.147 0% Clause clause subsumption (111,144 calls)
% 30.10/30.30 ; 1.444 5% Forward simplification (198,138 calls)
% 30.10/30.30 ; 1.729 6% Backward simplification (98,395 calls)
% 30.10/30.30 ; 0.008 0% Ordering (5,008 calls)
% 30.10/30.30 ; 0.000 0% Sortal reasoning (32 calls)
% 30.10/30.30 ; 0.000 0% Purity testing (1 call)
% 30.10/30.30 ; 0.622 2% Other
% 30.10/30.30 ; 29.820 Total
% 30.10/30.30 ; 29.831 Real time
% 30.10/30.30 ;
% 30.10/30.30 ; Term-hash-array has 152,792 terms in all.
% 30.10/30.30 ; Feature-vector-row-index has 11,028 entries (11,034 at peak, 11,036 added, 8 deleted).
% 30.10/30.30 ; Feature-vector-row-index has 3,910 nodes (3,926 at peak, 3,926 added, 16 deleted).
% 30.10/30.30 ; Retrieved 380,329 possibly forward subsuming rows in 21,768 calls.
% 30.10/30.30 ; Retrieved 179,798 possibly backward subsumed rows in 11,036 calls.
% 30.10/30.30 ; Path-index has 152,782 entries (152,782 at peak, 152,812 added, 30 deleted).
% 30.10/30.30 ; Path-index has 1,435 nodes (1,435 at peak, 1,447 added, 12 deleted).
% 30.10/30.30 ; Trie-index has 152,782 entries (152,782 at peak, 152,812 added, 30 deleted).
% 30.10/30.30 ; Trie-index has 420,120 nodes (420,120 at peak, 420,159 added, 39 deleted).
% 30.10/30.30 ; Retrieved 89,014 generalization terms in 219,879 calls.
% 30.10/30.30 ; Retrieved 87,397 instance terms in 87,358 calls.
% 30.10/30.30 ; Retrieved 39,750,413 unifiable terms in 17,244 calls.
% 30.10/30.30 ;
% 30.10/30.30 ; The agenda of rows to process has 1 entry:
% 30.10/30.30 ; 1 with value 10
% 30.10/30.30 ; The agenda of rows to give has 98138 entries:
% 30.10/30.30 ; 11 with value (4 8) 33124 with value (4 13) 1536 with value (4 18)
% 30.10/30.30 ; 228 with value (4 9) 216 with value (4 14) 32775 with value (4 19)
% 30.10/30.30 ; 550 with value (4 10) 4338 with value (4 15) 8128 with value (4 20)
% 30.10/30.30 ; 4484 with value (4 11) 1086 with value (4 16) 128 with value (4 22)
% 30.10/30.30 ; 5902 with value (4 12) 5632 with value (4 17)
% 30.10/30.30 Evaluation took:
% 30.10/30.30 29.835 seconds of real time
% 30.10/30.30 28.372587 seconds of user run time
% 30.10/30.30 1.452738 seconds of system run time
% 30.10/30.30 [Run times include 4.242 seconds GC run time.]
% 30.10/30.30 0 calls to %EVAL
% 30.10/30.30 0 page faults and
% 30.10/30.30 1,354,525,728 bytes consed.
% 30.10/30.30 :PROOF-FOUND
% 30.10/30.30 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-07T04:27:03
% 30.10/30.30 :PROOF-FOUND
% 30.10/30.30 *
%------------------------------------------------------------------------------