TSTP Solution File: FLD009-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : FLD009-3 : 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 02:26:57 EDT 2022
% Result : Unsatisfiable 1.44s 1.66s
% Output : Refutation 1.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 9
% Syntax : Number of clauses : 15 ( 10 unt; 2 nHn; 15 RR)
% Number of literals : 25 ( 0 equ; 11 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 13 ( 2 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(well_definedness_of_multiplicative_inverse,axiom,
( defined(multiplicative_inverse(X))
| ~ defined(X)
| sum(additive_identity,X,additive_identity) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',well_definedness_of_multiplicative_inverse) ).
cnf(totality_of_multiplication,axiom,
( product(X,Y,multiply(X,Y))
| ~ defined(X)
| ~ defined(Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',totality_of_multiplication) ).
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(not_sum_3,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_3) ).
cnf(not_product_4,negated_conjecture,
~ product(a,X,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_product_4) ).
cnf(31,plain,
product(multiplicative_identity,b,b),
inference('HYPERRESOLVE',[status(thm)],[existence_of_identity_multiplication,b_is_defined]) ).
cnf(75,plain,
defined(multiplicative_inverse(a)),
inference('UR-RESOLVE',[status(thm)],[well_definedness_of_multiplicative_inverse,a_is_defined,not_sum_3]) ).
cnf(120,plain,
product(multiplicative_inverse(a),a,multiplicative_identity),
inference('UR-RESOLVE',[status(thm)],[existence_of_inverse_multiplication,not_sum_3,a_is_defined]) ).
cnf(416,plain,
product(multiplicative_inverse(a),b,multiply(multiplicative_inverse(a),b)),
inference('HYPERRESOLVE',[status(thm)],[totality_of_multiplication,75,b_is_defined]) ).
cnf(8313,plain,
~ product(multiplicative_inverse(a),b,X),
inference('UR-RESOLVE',[status(thm)],[associativity_multiplication_1,120,not_product_4,31]) ).
cnf(8314,plain,
$false,
inference('REWRITE',[status(thm)],[416,8313]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : FLD009-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.10/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 6 23:57:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-06T23:57:35
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-06T23:57:35
% 0.19/0.49
% 0.19/0.49 ; Recognized possible associativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?X ?U ?V)) (NOT (|sum| ?U ?W ?Y)) (NOT (|sum| ?V ?W ?Z))).
% 0.19/0.49 ; Recognized possible associativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?U ?V ?X)) (NOT (|sum| ?V ?Y ?W)) (NOT (|sum| ?U ?W ?Z))).
% 0.19/0.49 ; Recognized commutativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?Y ?X ?Z))).
% 0.19/0.49 ; Recognized possible associativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?X ?U ?V)) (NOT (|product| ?U ?W ?Y)) (NOT (|product| ?V ?W ?Z))).
% 0.19/0.49 ; Recognized possible associativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?U ?V ?X)) (NOT (|product| ?V ?Y ?W)) (NOT (|product| ?U ?W ?Z))).
% 0.19/0.49 ; Recognized commutativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?Y ?X ?Z))).
% 0.19/0.49 ; Declaring sum to be commutative.
% 1.44/1.66 ; Declaring product to be commutative.
% 1.44/1.66
% 1.44/1.66 #||
% 1.44/1.66 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.44/1.66 % SZS output start Refutation
% See solution above
% 1.44/1.66 ||#
% 1.44/1.66
% 1.44/1.66 ; Summary of computation:
% 1.44/1.66 ; 17407 formulas have been input or derived (from 97 formulas).
% 1.44/1.66 ; 8314 (48%) were retained. Of these,
% 1.44/1.66 ; 12 ( 0%) were simplified or subsumed later,
% 1.44/1.66 ; 8302 (100%) are still being kept.
% 1.44/1.66 ;
% 1.44/1.66 ; Run time in seconds:
% 1.44/1.66 ; 0.006 1% Read assertion file (1 call)
% 1.44/1.66 ; 0.002 0% Assert (30 calls)
% 1.44/1.66 ; 0.460 39% Process new row (17,118 calls)
% 1.44/1.66 ; 0.357 30% Resolution (192 calls)
% 1.44/1.66 ; 0.000 0% Paramodulation (96 calls)
% 1.44/1.66 ; 0.004 0% Condensing (1,820 calls)
% 1.44/1.66 ; 0.046 4% Forward subsumption (1,820 calls)
% 1.44/1.66 ; 0.022 2% Backward subsumption (958 calls)
% 1.44/1.66 ; 0.008 1% Clause clause subsumption (5,275 calls)
% 1.44/1.66 ; 0.154 13% Forward simplification (17,118 calls)
% 1.44/1.66 ; 0.052 4% Backward simplification (8,314 calls)
% 1.44/1.66 ; 0.001 0% Ordering (760 calls)
% 1.44/1.66 ; 0.000 0% Sortal reasoning (32 calls)
% 1.44/1.66 ; 0.000 0% Purity testing (1 call)
% 1.44/1.66 ; 0.078 7% Other
% 1.44/1.66 ; 1.190 Total
% 1.44/1.66 ; 1.191 Real time
% 1.44/1.66 ;
% 1.44/1.66 ; Term-hash-array has 12,840 terms in all.
% 1.44/1.66 ; Feature-vector-row-index has 952 entries (956 at peak, 958 added, 6 deleted).
% 1.44/1.66 ; Feature-vector-row-index has 751 nodes (767 at peak, 779 added, 28 deleted).
% 1.44/1.66 ; Retrieved 13,387 possibly forward subsuming rows in 1,820 calls.
% 1.44/1.66 ; Retrieved 5,958 possibly backward subsumed rows in 958 calls.
% 1.44/1.66 ; Path-index has 12,838 entries (12,840 at peak, 12,853 added, 15 deleted).
% 1.44/1.66 ; Path-index has 848 nodes (848 at peak, 857 added, 9 deleted).
% 1.44/1.66 ; Trie-index has 12,838 entries (12,840 at peak, 12,853 added, 15 deleted).
% 1.44/1.66 ; Trie-index has 36,216 nodes (36,224 at peak, 36,242 added, 26 deleted).
% 1.44/1.66 ; Retrieved 7,942 generalization terms in 18,908 calls.
% 1.44/1.66 ; Retrieved 7,380 instance terms in 7,355 calls.
% 1.44/1.66 ; Retrieved 1,000,826 unifiable terms in 5,799 calls.
% 1.44/1.66 ;
% 1.44/1.66 ; The agenda of rows to process has 16 entries:
% 1.44/1.66 ; 11 with value 10 5 with value 11
% 1.44/1.66 ; The agenda of rows to give has 8207 entries:
% 1.44/1.66 ; 2 with value (4 7) 840 with value (4 12) 768 with value (4 17)
% 1.44/1.66 ; 9 with value (4 8) 2143 with value (4 13) 224 with value (4 18)
% 1.44/1.66 ; 72 with value (4 9) 56 with value (4 14) 2051 with value (4 19)
% 1.44/1.66 ; 161 with value (4 10) 584 with value (4 15) 496 with value (4 20)
% 1.44/1.66 ; 623 with value (4 11) 146 with value (4 16) 32 with value (4 22)
% 1.44/1.66 Evaluation took:
% 1.44/1.66 1.192 seconds of real time
% 1.44/1.66 1.071406 seconds of user run time
% 1.44/1.66 0.120351 seconds of system run time
% 1.44/1.66 [Run times include 0.136 seconds GC run time.]
% 1.44/1.66 0 calls to %EVAL
% 1.44/1.66 0 page faults and
% 1.44/1.66 86,322,776 bytes consed.
% 1.44/1.66 :PROOF-FOUND
% 1.44/1.66 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-06T23:57:36
% 1.44/1.66 :PROOF-FOUND
% 1.44/1.66 *
%------------------------------------------------------------------------------