TSTP Solution File: BOO012-2 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : BOO012-2 : 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 23:48:55 EDT 2022
% Result : Unsatisfiable 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 10 ( 10 unt; 0 nHn; 2 RR)
% Number of literals : 10 ( 9 equ; 1 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 : 11 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(distributivity3,axiom,
multiply(add(X,Y),Z) = add(multiply(X,Z),multiply(Y,Z)),
file('/export/starexec/sandbox/benchmark/Axioms/BOO003-0.ax',distributivity3) ).
cnf(additive_inverse1,axiom,
add(X,inverse(X)) = multiplicative_identity,
file('/export/starexec/sandbox/benchmark/Axioms/BOO003-0.ax',additive_inverse1) ).
cnf(multiplicative_inverse1,axiom,
multiply(X,inverse(X)) = additive_identity,
file('/export/starexec/sandbox/benchmark/Axioms/BOO003-0.ax',multiplicative_inverse1) ).
cnf(multiplicative_id1,axiom,
multiply(X,multiplicative_identity) = X,
file('/export/starexec/sandbox/benchmark/Axioms/BOO003-0.ax',multiplicative_id1) ).
cnf(additive_id1,axiom,
add(X,additive_identity) = X,
file('/export/starexec/sandbox/benchmark/Axioms/BOO003-0.ax',additive_id1) ).
cnf(prove_inverse_is_an_involution,negated_conjecture,
inverse(inverse(x)) != x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_inverse_is_an_involution) ).
cnf(12,plain,
X = add(multiply(X,Y),multiply(inverse(Y),X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[distributivity3,additive_inverse1,theory(equality)]),multiplicative_id1,theory(equality)]) ).
cnf(55,plain,
X = multiply(inverse(inverse(X)),X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[12,multiplicative_inverse1,theory(equality)]),additive_id1,theory(equality)]) ).
cnf(56,plain,
inverse(inverse(X)) = X,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[12,multiplicative_inverse1,theory(equality)]),additive_id1,55,theory(equality)]) ).
cnf(57,plain,
$false,
inference('REWRITE',[status(thm)],[prove_inverse_is_an_involution,56,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : BOO012-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n026.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 : Wed Jun 1 15:52:42 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-06-01T15:52:42
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-01T15:52:42
% 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.
% 0.19/0.53 ; Declaring multiply to be commutative.
% 0.19/0.53
% 0.19/0.53 #||
% 0.19/0.53 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.53 % SZS output start Refutation
% See solution above
% 0.19/0.53 ||#
% 0.19/0.53
% 0.19/0.53 ; Summary of computation:
% 0.19/0.53 ; 219 formulas have been input or derived (from 18 formulas).
% 0.19/0.53 ; 57 (26%) were retained. Of these,
% 0.19/0.53 ; 27 (47%) were simplified or subsumed later,
% 0.19/0.53 ; 30 (53%) are still being kept.
% 0.19/0.53 ;
% 0.19/0.53 ; Run time in seconds excluding printing time:
% 0.19/0.53 ; 0.003 5% Read assertion file (1 call)
% 0.19/0.53 ; 0.001 2% Assert (15 calls)
% 0.19/0.53 ; 0.007 11% Process new row (202 calls)
% 0.19/0.53 ; 0.001 2% Resolution (34 calls)
% 0.19/0.53 ; 0.008 12% Paramodulation (17 calls)
% 0.19/0.53 ; 0.014 22% Forward simplification (180 calls)
% 0.19/0.53 ; 0.007 11% Backward simplification (57 calls)
% 0.19/0.54 ; 0.001 2% Ordering (340 calls)
% 0.19/0.54 ; 0.001 2% Sortal reasoning (32 calls)
% 0.19/0.54 ; 0.000 0% Purity testing (1 call)
% 0.19/0.54 ; 0.022 34% Other
% 0.19/0.54 ; 0.065 Total
% 0.19/0.54 ; 0.067 Real time
% 0.19/0.54 ;
% 0.19/0.54 ; Term-hash-array has 173 terms in all.
% 0.19/0.54 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.19/0.54 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.19/0.54 ; Path-index has 96 entries (122 at peak, 189 added, 93 deleted).
% 0.19/0.54 ; Path-index has 93 nodes (105 at peak, 117 added, 24 deleted).
% 0.19/0.54 ; Trie-index has 96 entries (122 at peak, 189 added, 93 deleted).
% 0.19/0.54 ; Trie-index has 416 nodes (555 at peak, 784 added, 368 deleted).
% 0.19/0.54 ; Retrieved 757 generalization terms in 1,026 calls.
% 0.19/0.54 ; Retrieved 327 instance terms in 60 calls.
% 0.19/0.54 ; Retrieved 382 unifiable terms in 96 calls.
% 0.19/0.54 ;
% 0.19/0.54 ; The agenda of rows to process has 5 entries:
% 0.19/0.54 ; 1 with value 19 1 with value 24 1 with value 26
% 0.19/0.54 ; 2 with value 23
% 0.19/0.54 ; The agenda of rows to give has 15 entries:
% 0.19/0.54 ; 1 with value (4 9) 1 with value (4 19) 1 with value (4 31)
% 0.19/0.54 ; 1 with value (4 10) 2 with value (4 21) 1 with value (4 33)
% 0.19/0.54 ; 3 with value (4 15) 1 with value (4 25) 1 with value (4 36)
% 0.19/0.54 ; 1 with value (4 17) 2 with value (4 29)
% 0.19/0.54 Evaluation took:
% 0.19/0.54 0.067 seconds of real time
% 0.19/0.54 0.062823 seconds of user run time
% 0.19/0.54 0.003987 seconds of system run time
% 0.19/0.54 0 calls to %EVAL
% 0.19/0.54 0 page faults and
% 0.19/0.54 4,204,848 bytes consed.
% 0.19/0.54 :PROOF-FOUND
% 0.19/0.54 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-01T15:52:42
% 0.19/0.54 :PROOF-FOUND
% 0.19/0.54 *
%------------------------------------------------------------------------------