%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : FLD039-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 02:27:08 EDT 2022
% Result : Unsatisfiable 0.21s 0.55s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 7 ( 5 unt; 0 nHn; 7 RR)
% Number of literals : 11 ( 0 equ; 5 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 7 ( 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/sandbox/benchmark/Axioms/FLD002-0.ax',associativity_addition_1) ).
cnf(existence_of_identity_addition,axiom,
( sum(additive_identity,X,X)
| ~ defined(X) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_identity_addition) ).
cnf(well_definedness_of_multiplicative_identity,axiom,
defined(multiplicative_identity),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',well_definedness_of_multiplicative_identity) ).
cnf(different_identities,axiom,
~ sum(additive_identity,additive_identity,multiplicative_identity),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',different_identities) ).
cnf(sum_3,negated_conjecture,
sum(additive_identity,multiplicative_identity,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_3) ).
cnf(27,plain,
sum(additive_identity,multiplicative_identity,multiplicative_identity),
inference('HYPERRESOLVE',[status(thm)],[existence_of_identity_addition,well_definedness_of_multiplicative_identity]) ).
cnf(82,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[associativity_addition_1,different_identities,sum_3]),27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : FLD039-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.08/0.14 % Command : run-snark %s %d
% 0.14/0.36 % Computer : n029.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Mon Jun 6 10:53:49 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.49 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.50 *
% 0.21/0.50 *
% 0.21/0.51 #<PACKAGE "SNARK-USER">
% 0.21/0.51 *
% 0.21/0.51 SNARK-TPTP-OPTIONS
% 0.21/0.51 *
% 0.21/0.51 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.51 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.51 (USE-FACTORING :POS)
% 0.21/0.51 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.51 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.51 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.51 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.51 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.51 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.51 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.51 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.51 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.51 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.51 *
% 0.21/0.51 "."
% 0.21/0.51 *
% 0.21/0.51 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-06T10:53:49
% 0.21/0.51 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-06T10:53:49
% 0.21/0.53
% 0.21/0.53 ; Recognized possible associativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?X ?U ?V)) (NOT (|sum| ?U ?W ?Y)) (NOT (|sum| ?V ?W ?Z))).
% 0.21/0.53 ; Recognized possible associativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?U ?V ?X)) (NOT (|sum| ?V ?Y ?W)) (NOT (|sum| ?U ?W ?Z))).
% 0.21/0.53 ; Recognized commutativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?Y ?X ?Z))).
% 0.21/0.53 ; Recognized possible associativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?X ?U ?V)) (NOT (|product| ?U ?W ?Y)) (NOT (|product| ?V ?W ?Z))).
% 0.21/0.53 ; Recognized possible associativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?U ?V ?X)) (NOT (|product| ?V ?Y ?W)) (NOT (|product| ?U ?W ?Z))).
% 0.21/0.53 ; Recognized commutativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?Y ?X ?Z))).
% 0.21/0.53 ; Declaring sum to be commutative.
% 0.21/0.55 ; Declaring product to be commutative.
% 0.21/0.55
% 0.21/0.55 #||
% 0.21/0.55 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.55 % SZS output start Refutation
% See solution above
% 0.21/0.55 ||#
% 0.21/0.55
% 0.21/0.55 ; Summary of computation:
% 0.21/0.55 ; 153 formulas have been input or derived (from 23 formulas).
% 0.21/0.55 ; 82 (54%) were retained. Of these,
% 0.21/0.55 ; 82 (100%) are still being kept.
% 0.21/0.56 ;
% 0.21/0.56 ; Run time in seconds:
% 0.21/0.56 ; 0.006 13% Read assertion file (1 call)
% 0.21/0.56 ; 0.002 4% Assert (29 calls)
% 0.21/0.56 ; 0.007 15% Process new row (147 calls)
% 0.21/0.56 ; 0.002 4% Resolution (44 calls)
% 0.21/0.56 ; 0.001 2% Paramodulation (22 calls)
% 0.21/0.56 ; 0.003 7% Condensing (27 calls)
% 0.21/0.56 ; 0.000 0% Forward subsumption (27 calls)
% 0.21/0.56 ; 0.000 0% Backward subsumption (22 calls)
% 0.21/0.56 ; 0.000 0% Clause clause subsumption (10 calls)
% 0.21/0.56 ; 0.003 7% Forward simplification (147 calls)
% 0.21/0.56 ; 0.000 0% Backward simplification (82 calls)
% 0.21/0.56 ; 0.000 0% Ordering (10 calls)
% 0.21/0.56 ; 0.001 2% Sortal reasoning (32 calls)
% 0.21/0.56 ; 0.000 0% Purity testing (1 call)
% 0.21/0.56 ; 0.021 46% Other
% 0.21/0.56 ; 0.046 Total
% 0.21/0.56 ; 0.047 Real time
% 0.21/0.56 ;
% 0.21/0.56 ; Term-hash-array has 132 terms in all.
% 0.21/0.56 ; Feature-vector-row-index has 22 entries (22 at peak, 22 added, 0 deleted).
% 0.21/0.56 ; Feature-vector-row-index has 60 nodes (60 at peak, 60 added, 0 deleted).
% 0.21/0.56 ; Retrieved 10 possibly forward subsuming rows in 27 calls.
% 0.21/0.56 ; Retrieved 0 possibly backward subsumed rows in 22 calls.
% 0.21/0.56 ; Path-index has 135 entries (135 at peak, 135 added, 0 deleted).
% 0.21/0.56 ; Path-index has 132 nodes (132 at peak, 132 added, 0 deleted).
% 0.21/0.56 ; Trie-index has 135 entries (135 at peak, 135 added, 0 deleted).
% 0.21/0.56 ; Trie-index has 219 nodes (219 at peak, 219 added, 0 deleted).
% 0.21/0.56 ; Retrieved 61 generalization terms in 145 calls.
% 0.21/0.56 ; Retrieved 62 instance terms in 59 calls.
% 0.21/0.56 ; Retrieved 1,567 unifiable terms in 141 calls.
% 0.21/0.56 ;
% 0.21/0.56 ; The agenda of rows to process has 4 entries:
% 0.21/0.56 ; 4 with value 6
% 0.21/0.56 ; The agenda of input rows to give has 3 entries:
% 0.21/0.56 ; 1 with value 20 2 with value 25
% 0.21/0.56 ; The agenda of rows to give has 56 entries:
% 0.21/0.56 ; 3 with value (4 5) 18 with value (4 7) 21 with value (4 9)
% 0.21/0.56 ; 10 with value (4 6) 4 with value (4 8)
% 0.21/0.56 Evaluation took:
% 0.21/0.56 0.048 seconds of real time
% 0.21/0.56 0.039324 seconds of user run time
% 0.21/0.56 0.00818 seconds of system run time
% 0.21/0.56 0 calls to %EVAL
% 0.21/0.56 0 page faults and
% 0.21/0.56 2,481,064 bytes consed.
% 0.21/0.56 :PROOF-FOUND
% 0.21/0.56 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-06T10:53:49
% 0.21/0.56 :PROOF-FOUND
% 0.21/0.56 *
%------------------------------------------------------------------------------