TSTP Solution File: BOO010-2 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : BOO010-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 12 ( 12 unt; 0 nHn; 2 RR)
% Number of literals : 12 ( 11 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 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 : 20 ( 3 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_a_plus_ab_is_a,negated_conjecture,
add(a,multiply(a,b)) != a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_plus_ab_is_a) ).
cnf(8,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(11,plain,
multiply(X,Y) = add(multiply(X,Y),multiply(additive_identity,Y)),
inference('PARAMODULATE',[status(thm)],[distributivity3,additive_id1,theory(equality)]) ).
cnf(18,plain,
X = add(multiply(X,Y),add(multiply(inverse(Y),X),multiply(X,X))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,multiplicative_inverse1,theory(equality)]),additive_id1,theory(equality)]) ).
cnf(31,plain,
additive_identity = multiply(additive_identity,X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[11,multiplicative_inverse1,theory(equality)]),additive_id1,theory(equality)]) ).
cnf(34,plain,
X = add(multiply(X,Y),multiply(X,X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,31,theory(equality)]),31,additive_id1,theory(equality)]) ).
cnf(37,plain,
X = add(X,multiply(X,Y)),
inference('REWRITE',[status(thm)],[18,34,theory(equality)]) ).
cnf(39,plain,
$false,
inference('REWRITE',[status(thm)],[prove_a_plus_ab_is_a,37,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : BOO010-2 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n021.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 : Wed Jun 1 18:11:46 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-06-01T18:11:46
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-01T18:11:46
% 0.19/0.48
% 0.19/0.48 ; Recognized commutativity assertion (= (|add| ?X ?Y) (|add| ?Y ?X)).
% 0.19/0.48 ; Recognized commutativity assertion (= (|multiply| ?X ?Y) (|multiply| ?Y ?X)).
% 0.19/0.48 ; Recognized possible right inverse assertion (= (|add| ?X (|inverse| ?X)) |multiplicative_identity|).
% 0.19/0.48 ; Recognized possible left inverse assertion (= (|add| (|inverse| ?X) ?X) |multiplicative_identity|).
% 0.19/0.48 ; Recognized possible right inverse assertion (= (|multiply| ?X (|inverse| ?X)) |additive_identity|).
% 0.19/0.48 ; Recognized possible left inverse assertion (= (|multiply| (|inverse| ?X) ?X) |additive_identity|).
% 0.19/0.48 ; Recognized right identity assertion (= (|multiply| ?X |multiplicative_identity|) ?X).
% 0.19/0.48 ; Recognized left identity assertion (= (|multiply| |multiplicative_identity| ?X) ?X).
% 0.19/0.48 ; Recognized right identity assertion (= (|add| ?X |additive_identity|) ?X).
% 0.19/0.48 ; Recognized left identity assertion (= (|add| |additive_identity| ?X) ?X).
% 0.19/0.48 ; Declaring add to be commutative.
% 0.19/0.52 ; Declaring multiply to be commutative.
% 0.19/0.52
% 0.19/0.52 #||
% 0.19/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.52 % SZS output start Refutation
% See solution above
% 0.19/0.52 ||#
% 0.19/0.52
% 0.19/0.52 ; Summary of computation:
% 0.19/0.52 ; 117 formulas have been input or derived (from 12 formulas).
% 0.19/0.52 ; 39 (33%) were retained. Of these,
% 0.19/0.52 ; 17 (44%) were simplified or subsumed later,
% 0.19/0.52 ; 22 (56%) are still being kept.
% 0.19/0.52 ;
% 0.19/0.52 ; Run time in seconds excluding printing time:
% 0.19/0.52 ; 0.003 6% Read assertion file (1 call)
% 0.19/0.52 ; 0.001 2% Assert (15 calls)
% 0.19/0.52 ; 0.002 4% Process new row (103 calls)
% 0.19/0.52 ; 0.000 0% Resolution (22 calls)
% 0.19/0.52 ; 0.001 2% Paramodulation (11 calls)
% 0.19/0.52 ; 0.010 21% Forward simplification (87 calls)
% 0.19/0.52 ; 0.003 6% Backward simplification (39 calls)
% 0.19/0.52 ; 0.006 13% Ordering (212 calls)
% 0.19/0.52 ; 0.001 2% Sortal reasoning (32 calls)
% 0.19/0.52 ; 0.000 0% Purity testing (1 call)
% 0.19/0.52 ; 0.020 43% Other
% 0.19/0.52 ; 0.047 Total
% 0.19/0.52 ; 0.050 Real time
% 0.19/0.52 ;
% 0.19/0.52 ; Term-hash-array has 139 terms in all.
% 0.19/0.52 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.19/0.52 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.19/0.52 ; Path-index has 89 entries (123 at peak, 151 added, 62 deleted).
% 0.19/0.52 ; Path-index has 91 nodes (109 at peak, 115 added, 24 deleted).
% 0.19/0.52 ; Trie-index has 89 entries (123 at peak, 151 added, 62 deleted).
% 0.19/0.52 ; Trie-index has 391 nodes (560 at peak, 651 added, 260 deleted).
% 0.19/0.52 ; Retrieved 270 generalization terms in 543 calls.
% 0.19/0.52 ; Retrieved 159 instance terms in 42 calls.
% 0.19/0.52 ; Retrieved 144 unifiable terms in 64 calls.
% 0.19/0.52 ;
% 0.19/0.52 ; The agenda of backward simplifiable rows to process has 2 entries:
% 0.19/0.52 ; 2 with value 0
% 0.19/0.52 ; The agenda of rows to process has 6 entries:
% 0.19/0.52 ; 1 with value 24 5 with value 26
% 0.19/0.52 ; The agenda of rows to give has 13 entries:
% 0.19/0.52 ; 1 with value (4 11) 1 with value (4 21) 1 with value (4 36)
% 0.19/0.52 ; 5 with value (4 15) 1 with value (4 33) 3 with value (4 39)
% 0.19/0.52 ; 1 with value (4 17)
% 0.19/0.52 Evaluation took:
% 0.19/0.52 0.051 seconds of real time
% 0.19/0.52 0.041445 seconds of user run time
% 0.19/0.52 0.008778 seconds of system run time
% 0.19/0.52 0 calls to %EVAL
% 0.19/0.52 0 page faults and
% 0.19/0.52 3,590,584 bytes consed.
% 0.19/0.52 :PROOF-FOUND
% 0.19/0.52 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-01T18:11:46
% 0.19/0.52 :PROOF-FOUND
% 0.19/0.52 *
%------------------------------------------------------------------------------