TSTP Solution File: FLD010-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : FLD010-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n027.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 3.24s 3.45s
% Output : Refutation 3.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 11 ( 7 unt; 2 nHn; 11 RR)
% Number of literals : 18 ( 0 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(existence_of_identity_multiplication,axiom,
( equalish(multiply(multiplicative_identity,X),X)
| ~ defined(X) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',existence_of_identity_multiplication) ).
cnf(existence_of_inverse_multiplication,axiom,
( equalish(multiply(X,multiplicative_inverse(X)),multiplicative_identity)
| ~ defined(X)
| equalish(X,additive_identity) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',existence_of_inverse_multiplication) ).
cnf(well_definedness_of_multiplicative_identity,axiom,
defined(multiplicative_identity),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',well_definedness_of_multiplicative_identity) ).
cnf(well_definedness_of_multiplicative_inverse,axiom,
( defined(multiplicative_inverse(X))
| ~ defined(X)
| equalish(X,additive_identity) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',well_definedness_of_multiplicative_inverse) ).
cnf(transitivity_of_equality,axiom,
( equalish(X,Y)
| ~ equalish(X,Z)
| ~ equalish(Z,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',transitivity_of_equality) ).
cnf(different_identities,axiom,
~ equalish(additive_identity,multiplicative_identity),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',different_identities) ).
cnf(multiplicative_inv_not_equal_to_multiplicative_id_2,negated_conjecture,
~ equalish(multiplicative_inverse(multiplicative_identity),multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_inv_not_equal_to_multiplicative_id_2) ).
cnf(46,plain,
defined(multiplicative_inverse(multiplicative_identity)),
inference('UR-RESOLVE',[status(thm)],[well_definedness_of_multiplicative_inverse,well_definedness_of_multiplicative_identity,different_identities]) ).
cnf(56,plain,
equalish(multiply(multiplicative_identity,multiplicative_inverse(multiplicative_identity)),multiplicative_identity),
inference('UR-RESOLVE',[status(thm)],[existence_of_inverse_multiplication,well_definedness_of_multiplicative_identity,different_identities]) ).
cnf(350,plain,
equalish(multiply(multiplicative_identity,multiplicative_inverse(multiplicative_identity)),multiplicative_inverse(multiplicative_identity)),
inference('HYPERRESOLVE',[status(thm)],[existence_of_identity_multiplication,46]) ).
cnf(14182,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[transitivity_of_equality,56,multiplicative_inv_not_equal_to_multiplicative_id_2]),350]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : FLD010-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.13/0.14 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Tue Jun 7 00:42:25 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.48 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.49 *
% 0.21/0.49 *
% 0.21/0.50 #<PACKAGE "SNARK-USER">
% 0.21/0.50 *
% 0.21/0.50 SNARK-TPTP-OPTIONS
% 0.21/0.50 *
% 0.21/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.50 (USE-FACTORING :POS)
% 0.21/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.50 *
% 0.21/0.50 "."
% 0.21/0.50 *
% 0.21/0.50 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-07T00:42:25
% 0.21/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-07T00:42:25
% 0.21/0.51
% 0.21/0.51 ; Recognized commutativity assertion (OR (|equalish| ?X ?Y) (NOT (|equalish| ?Y ?X))).
% 3.24/3.45 ; Declaring equalish to be commutative.
% 3.24/3.45
% 3.24/3.45 #||
% 3.24/3.45 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.24/3.45 % SZS output start Refutation
% See solution above
% 3.24/3.45 ||#
% 3.24/3.45
% 3.24/3.45 ; Summary of computation:
% 3.24/3.45 ; 32412 formulas have been input or derived (from 77 formulas).
% 3.24/3.45 ; 14182 (44%) were retained. Of these,
% 3.24/3.45 ; 17 ( 0%) were simplified or subsumed later,
% 3.24/3.45 ; 14165 (100%) are still being kept.
% 3.24/3.45 ;
% 3.24/3.45 ; Run time in seconds excluding printing time:
% 3.24/3.45 ; 0.007 0% Read assertion file (1 call)
% 3.24/3.45 ; 0.000 0% Assert (28 calls)
% 3.24/3.45 ; 1.565 53% Process new row (32,018 calls)
% 3.24/3.45 ; 0.466 16% Resolution (152 calls)
% 3.24/3.45 ; 0.002 0% Paramodulation (76 calls)
% 3.24/3.45 ; 0.000 0% Factoring (1 call)
% 3.24/3.45 ; 0.001 0% Condensing (338 calls)
% 3.24/3.45 ; 0.011 0% Forward subsumption (338 calls)
% 3.24/3.45 ; 0.008 0% Backward subsumption (212 calls)
% 3.24/3.45 ; 0.000 0% Clause clause subsumption (721 calls)
% 3.24/3.45 ; 0.301 10% Forward simplification (32,018 calls)
% 3.24/3.45 ; 0.465 16% Backward simplification (14,182 calls)
% 3.24/3.45 ; 0.002 0% Ordering (434 calls)
% 3.24/3.45 ; 0.001 0% Sortal reasoning (32 calls)
% 3.24/3.45 ; 0.000 0% Purity testing (1 call)
% 3.24/3.45 ; 0.124 4% Other
% 3.24/3.45 ; 2.953 Total
% 3.24/3.45 ; 2.955 Real time
% 3.24/3.45 ;
% 3.24/3.45 ; Term-hash-array has 39,120 terms in all.
% 3.24/3.45 ; Feature-vector-row-index has 195 entries (200 at peak, 212 added, 17 deleted).
% 3.24/3.45 ; Feature-vector-row-index has 643 nodes (671 at peak, 689 added, 46 deleted).
% 3.24/3.45 ; Retrieved 711 possibly forward subsuming rows in 338 calls.
% 3.24/3.45 ; Retrieved 131 possibly backward subsumed rows in 212 calls.
% 3.24/3.45 ; Path-index has 39,111 entries (39,111 at peak, 39,135 added, 24 deleted).
% 3.24/3.45 ; Path-index has 1,413 nodes (1,413 at peak, 1,425 added, 12 deleted).
% 3.24/3.45 ; Trie-index has 39,111 entries (39,111 at peak, 39,135 added, 24 deleted).
% 3.24/3.45 ; Trie-index has 212,714 nodes (212,714 at peak, 212,762 added, 48 deleted).
% 3.24/3.45 ; Retrieved 17,714 generalization terms in 32,995 calls.
% 3.24/3.45 ; Retrieved 18,128 instance terms in 13,969 calls.
% 3.24/3.45 ; Retrieved 985,644 unifiable terms in 4,713 calls.
% 3.24/3.45 ;
% 3.24/3.45 ; The agenda of rows to process has 149 entries:
% 3.24/3.45 ; 8 with value 13 16 with value 16 64 with value 20
% 3.24/3.45 ; 12 with value 14 24 with value 18 24 with value 21
% 3.24/3.45 ; 1 with value 15
% 3.28/3.45 ; The agenda of rows to give has 14088 entries:
% 3.28/3.45 ; 41 with value (4 10) 222 with value (4 19) 2270 with value (4 27)
% 3.28/3.45 ; 103 with value (4 11) 335 with value (4 20) 180 with value (4 28)
% 3.28/3.45 ; 118 with value (4 12) 345 with value (4 21) 2528 with value (4 29)
% 3.28/3.45 ; 171 with value (4 13) 114 with value (4 22) 246 with value (4 30)
% 3.28/3.45 ; 119 with value (4 14) 813 with value (4 23) 2277 with value (4 31)
% 3.28/3.45 ; 176 with value (4 15) 36 with value (4 24) 171 with value (4 32)
% 3.28/3.45 ; 173 with value (4 16) 1568 with value (4 25) 854 with value (4 33)
% 3.28/3.45 ; 60 with value (4 17) 126 with value (4 26) 819 with value (4 35)
% 3.28/3.45 ; 223 with value (4 18)
% 3.28/3.45 Evaluation took:
% 3.28/3.45 2.957 seconds of real time
% 3.28/3.45 2.764924 seconds of user run time
% 3.28/3.45 0.191238 seconds of system run time
% 3.28/3.45 [Run times include 0.639 seconds GC run time.]
% 3.28/3.45 0 calls to %EVAL
% 3.28/3.45 0 page faults and
% 3.28/3.45 207,710,256 bytes consed.
% 3.28/3.45 :PROOF-FOUND
% 3.28/3.45 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-07T00:42:28
% 3.28/3.45 :PROOF-FOUND
% 3.28/3.45 *
%------------------------------------------------------------------------------