TSTP Solution File: FLD018-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : FLD018-3 : 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 02:27:00 EDT 2022
% Result : Unsatisfiable 0.35s 0.53s
% Output : Refutation 0.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 7
% Syntax : Number of clauses : 10 ( 7 unt; 0 nHn; 10 RR)
% Number of literals : 15 ( 0 equ; 6 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(associativity_addition_1,axiom,
( sum(X,Y,Z)
| ~ sum(X,U,V)
| ~ sum(U,W,Y)
| ~ sum(V,W,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_addition_1) ).
cnf(existence_of_identity_addition,axiom,
( sum(additive_identity,X,X)
| ~ defined(X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_identity_addition) ).
cnf(existence_of_inverse_addition,axiom,
( sum(additive_inverse(X),X,additive_identity)
| ~ defined(X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_addition) ).
cnf(well_definedness_of_additive_identity,axiom,
defined(additive_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',well_definedness_of_additive_identity) ).
cnf(a_is_defined,hypothesis,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
cnf(sum_2,negated_conjecture,
sum(additive_identity,a,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_2) ).
cnf(not_sum_3,negated_conjecture,
~ sum(additive_identity,additive_inverse(a),additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_3) ).
cnf(28,plain,
sum(additive_identity,additive_identity,additive_identity),
inference('HYPERRESOLVE',[status(thm)],[existence_of_identity_addition,well_definedness_of_additive_identity]) ).
cnf(35,plain,
sum(additive_inverse(a),a,additive_identity),
inference('HYPERRESOLVE',[status(thm)],[existence_of_inverse_addition,a_is_defined]) ).
cnf(98,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[associativity_addition_1,28,not_sum_3,sum_2]),35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : FLD018-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % 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 : Mon Jun 6 23:10:35 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 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/sandbox2/benchmark/theBenchmark.p 2022-06-06T23:10:35
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-06T23:10:35
% 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.
% 0.35/0.53 ; Declaring product to be commutative.
% 0.35/0.53
% 0.35/0.53 #||
% 0.35/0.53 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/0.53 % SZS output start Refutation
% See solution above
% 0.35/0.53 ||#
% 0.35/0.53
% 0.35/0.53 ; Summary of computation:
% 0.35/0.53 ; 291 formulas have been input or derived (from 32 formulas).
% 0.35/0.53 ; 98 (34%) were retained. Of these,
% 0.35/0.53 ; 3 ( 3%) were simplified or subsumed later,
% 0.35/0.53 ; 95 (97%) are still being kept.
% 0.35/0.53 ;
% 0.35/0.53 ; Run time in seconds excluding printing time:
% 0.35/0.53 ; 0.006 11% Read assertion file (1 call)
% 0.35/0.53 ; 0.002 4% Assert (29 calls)
% 0.35/0.53 ; 0.007 13% Process new row (249 calls)
% 0.35/0.53 ; 0.007 13% Resolution (62 calls)
% 0.35/0.53 ; 0.000 0% Paramodulation (31 calls)
% 0.35/0.53 ; 0.002 4% Condensing (29 calls)
% 0.35/0.53 ; 0.001 2% Forward subsumption (29 calls)
% 0.35/0.53 ; 0.000 0% Backward subsumption (24 calls)
% 0.35/0.53 ; 0.000 0% Clause clause subsumption (10 calls)
% 0.35/0.53 ; 0.003 6% Forward simplification (249 calls)
% 0.35/0.53 ; 0.002 4% Backward simplification (98 calls)
% 0.35/0.53 ; 0.000 0% Ordering (14 calls)
% 0.35/0.53 ; 0.000 0% Sortal reasoning (32 calls)
% 0.35/0.53 ; 0.000 0% Purity testing (1 call)
% 0.35/0.53 ; 0.024 44% Other
% 0.35/0.53 ; 0.054 Total
% 0.35/0.53 ; 0.055 Real time
% 0.35/0.53 ;
% 0.35/0.53 ; Term-hash-array has 144 terms in all.
% 0.35/0.53 ; Feature-vector-row-index has 21 entries (24 at peak, 24 added, 3 deleted).
% 0.35/0.53 ; Feature-vector-row-index has 56 nodes (76 at peak, 76 added, 20 deleted).
% 0.35/0.53 ; Retrieved 10 possibly forward subsuming rows in 29 calls.
% 0.35/0.53 ; Retrieved 0 possibly backward subsumed rows in 24 calls.
% 0.35/0.53 ; Path-index has 147 entries (147 at peak, 151 added, 4 deleted).
% 0.35/0.53 ; Path-index has 134 nodes (134 at peak, 137 added, 3 deleted).
% 0.35/0.53 ; Trie-index has 147 entries (147 at peak, 151 added, 4 deleted).
% 0.35/0.53 ; Trie-index has 241 nodes (241 at peak, 246 added, 5 deleted).
% 0.35/0.53 ; Retrieved 145 generalization terms in 247 calls.
% 0.35/0.53 ; Retrieved 82 instance terms in 73 calls.
% 0.35/0.53 ; Retrieved 5,402 unifiable terms in 592 calls.
% 0.35/0.53 ;
% 0.35/0.53 ; The agenda of rows to process has 1 entry:
% 0.35/0.53 ; 1 with value 9
% 0.35/0.53 ; The agenda of rows to give has 63 entries:
% 0.35/0.53 ; 9 with value (4 6) 6 with value (4 8) 23 with value (4 9)
% 0.35/0.53 ; 25 with value (4 7)
% 0.35/0.53 Evaluation took:
% 0.35/0.53 0.056 seconds of real time
% 0.35/0.53 0.047923 seconds of user run time
% 0.35/0.53 0.007988 seconds of system run time
% 0.35/0.53 0 calls to %EVAL
% 0.35/0.53 0 page faults and
% 0.35/0.53 2,968,136 bytes consed.
% 0.35/0.53 :PROOF-FOUND
% 0.35/0.53 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-06T23:10:35
% 0.35/0.53 :PROOF-FOUND
% 0.35/0.53 *
%------------------------------------------------------------------------------