TSTP Solution File: BOO009-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : BOO009-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 : Thu Jul 14 23:48:54 EDT 2022
% Result : Unsatisfiable 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 11 ( 11 unt; 0 nHn; 3 RR)
% Number of literals : 11 ( 10 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(distributivity1,axiom,
add(multiply(X,Y),Z) = multiply(add(X,Z),add(Y,Z)),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',distributivity1) ).
cnf(distributivity3,axiom,
multiply(add(X,Y),Z) = add(multiply(X,Z),multiply(Y,Z)),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',distributivity3) ).
cnf(multiplicative_inverse1,axiom,
multiply(X,inverse(X)) = additive_identity,
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',multiplicative_inverse1) ).
cnf(additive_id1,axiom,
add(X,additive_identity) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',additive_id1) ).
cnf(prove_operation,negated_conjecture,
multiply(a,add(a,b)) != a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_operation) ).
cnf(8,plain,
add(multiply(a,a),multiply(b,a)) != a,
inference('REWRITE',[status(thm)],[prove_operation,distributivity3,theory(equality)]) ).
cnf(9,plain,
add(multiply(X,Y),Z) = add(add(multiply(X,Y),multiply(X,Z)),add(multiply(Y,Z),multiply(Z,Z))),
inference('REWRITE',[status(thm)],[distributivity1,distributivity3,theory(equality)]) ).
cnf(12,plain,
multiply(X,Y) = add(multiply(X,Y),multiply(additive_identity,Y)),
inference('PARAMODULATE',[status(thm)],[distributivity3,additive_id1,theory(equality)]) ).
cnf(32,plain,
additive_identity = multiply(additive_identity,X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[12,multiplicative_inverse1,theory(equality)]),additive_id1,theory(equality)]) ).
cnf(35,plain,
X = add(multiply(X,Y),multiply(X,X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[9,32,theory(equality)]),32,additive_id1,theory(equality)]) ).
cnf(42,plain,
$false,
inference('REWRITE',[status(thm)],[8,35,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : BOO009-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n026.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
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 1 16:05:12 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-01T16:05:12
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-01T16:05:12
% 0.19/0.47
% 0.19/0.47 ; Recognized commutativity assertion (= (|add| ?X ?Y) (|add| ?Y ?X)).
% 0.19/0.47 ; Recognized commutativity assertion (= (|multiply| ?X ?Y) (|multiply| ?Y ?X)).
% 0.19/0.47 ; Recognized possible right inverse assertion (= (|add| ?X (|inverse| ?X)) |multiplicative_identity|).
% 0.19/0.47 ; Recognized possible left inverse assertion (= (|add| (|inverse| ?X) ?X) |multiplicative_identity|).
% 0.19/0.47 ; Recognized possible right inverse assertion (= (|multiply| ?X (|inverse| ?X)) |additive_identity|).
% 0.19/0.47 ; Recognized possible left inverse assertion (= (|multiply| (|inverse| ?X) ?X) |additive_identity|).
% 0.19/0.47 ; Recognized right identity assertion (= (|multiply| ?X |multiplicative_identity|) ?X).
% 0.19/0.47 ; Recognized left identity assertion (= (|multiply| |multiplicative_identity| ?X) ?X).
% 0.19/0.47 ; Recognized right identity assertion (= (|add| ?X |additive_identity|) ?X).
% 0.19/0.47 ; Recognized left identity assertion (= (|add| |additive_identity| ?X) ?X).
% 0.19/0.47 ; Declaring add to be commutative.
% 0.19/0.49 ; Declaring multiply to be commutative.
% 0.19/0.49
% 0.19/0.49 #||
% 0.19/0.49 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.49 % SZS output start Refutation
% See solution above
% 0.19/0.49 ||#
% 0.19/0.49
% 0.19/0.49 ; Summary of computation:
% 0.19/0.49 ; 118 formulas have been input or derived (from 12 formulas).
% 0.19/0.49 ; 42 (36%) were retained. Of these,
% 0.19/0.49 ; 18 (43%) were simplified or subsumed later,
% 0.19/0.49 ; 24 (57%) are still being kept.
% 0.19/0.49 ;
% 0.19/0.49 ; Run time in seconds excluding printing time:
% 0.19/0.49 ; 0.002 7% Read assertion file (1 call)
% 0.19/0.49 ; 0.000 0% Assert (15 calls)
% 0.19/0.49 ; 0.003 10% Process new row (105 calls)
% 0.19/0.49 ; 0.000 0% Resolution (22 calls)
% 0.19/0.49 ; 0.002 7% Paramodulation (11 calls)
% 0.19/0.49 ; 0.004 13% Forward simplification (89 calls)
% 0.19/0.49 ; 0.004 13% Backward simplification (41 calls)
% 0.19/0.49 ; 0.001 3% Ordering (217 calls)
% 0.19/0.49 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.49 ; 0.000 0% Purity testing (1 call)
% 0.19/0.49 ; 0.014 47% Other
% 0.19/0.49 ; 0.030 Total
% 0.19/0.49 ; 0.033 Real time
% 0.19/0.49 ;
% 0.19/0.49 ; Term-hash-array has 144 terms in all.
% 0.19/0.49 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.19/0.49 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.19/0.49 ; Path-index has 95 entries (124 at peak, 158 added, 63 deleted).
% 0.19/0.49 ; Path-index has 91 nodes (107 at peak, 113 added, 22 deleted).
% 0.19/0.49 ; Trie-index has 95 entries (124 at peak, 158 added, 63 deleted).
% 0.19/0.49 ; Trie-index has 408 nodes (564 at peak, 672 added, 264 deleted).
% 0.19/0.49 ; Retrieved 277 generalization terms in 557 calls.
% 0.19/0.49 ; Retrieved 183 instance terms in 44 calls.
% 0.19/0.49 ; Retrieved 146 unifiable terms in 65 calls.
% 0.19/0.49 ;
% 0.19/0.49 ; The agenda of rows to process has 6 entries:
% 0.19/0.49 ; 1 with value 24 5 with value 26
% 0.19/0.49 ; The agenda of input rows to give has 1 entry:
% 0.19/0.49 ; 1 with value 19
% 0.19/0.49 ; The agenda of rows to give has 14 entries:
% 0.19/0.49 ; 1 with value (4 11) 1 with value (4 17) 1 with value (4 36)
% 0.19/0.49 ; 1 with value (4 13) 1 with value (4 21) 3 with value (4 39)
% 0.19/0.49 ; 5 with value (4 15) 1 with value (4 33)
% 0.19/0.49 Evaluation took:
% 0.19/0.49 0.033 seconds of real time
% 0.19/0.49 0.02653 seconds of user run time
% 0.19/0.49 0.005783 seconds of system run time
% 0.19/0.49 0 calls to %EVAL
% 0.19/0.49 0 page faults and
% 0.19/0.49 3,509,160 bytes consed.
% 0.19/0.49 :PROOF-FOUND
% 0.19/0.49 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-01T16:05:12
% 0.19/0.49 :PROOF-FOUND
% 0.19/0.49 *
%------------------------------------------------------------------------------