TSTP Solution File: BOO010-4 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : BOO010-4 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n024.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 0.20s 0.52s
% Output : Refutation 0.20s
% 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(X,multiply(Y,Z)) = multiply(add(X,Y),add(X,Z)),
file('/export/starexec/sandbox/benchmark/Axioms/BOO004-0.ax',distributivity1) ).
cnf(distributivity2,axiom,
multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)),
file('/export/starexec/sandbox/benchmark/Axioms/BOO004-0.ax',distributivity2) ).
cnf(additive_id1,axiom,
add(X,additive_identity) = X,
file('/export/starexec/sandbox/benchmark/Axioms/BOO004-0.ax',additive_id1) ).
cnf(multiplicative_inverse1,axiom,
multiply(X,inverse(X)) = additive_identity,
file('/export/starexec/sandbox/benchmark/Axioms/BOO004-0.ax',multiplicative_inverse1) ).
cnf(prove_a_plus_ab_is_a,negated_conjecture,
add(a,multiply(a,b)) != a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_plus_ab_is_a) ).
cnf(8,plain,
add(X,multiply(Y,Z)) = add(add(multiply(X,X),multiply(X,Y)),add(multiply(X,Z),multiply(Y,Z))),
inference('REWRITE',[status(thm)],[distributivity1,distributivity2,theory(equality)]) ).
cnf(11,plain,
multiply(X,Y) = add(multiply(X,Y),multiply(X,additive_identity)),
inference('PARAMODULATE',[status(thm)],[distributivity2,additive_id1,theory(equality)]) ).
cnf(20,plain,
X = add(add(multiply(X,X),multiply(X,inverse(Y))),multiply(X,Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,multiplicative_inverse1,theory(equality)]),additive_id1,theory(equality)]) ).
cnf(30,plain,
additive_identity = multiply(X,additive_identity),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[11,multiplicative_inverse1,theory(equality)]),additive_id1,theory(equality)]) ).
cnf(31,plain,
X = add(multiply(X,X),multiply(X,Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,30,theory(equality)]),30,additive_id1,theory(equality)]) ).
cnf(32,plain,
X = add(X,multiply(X,Y)),
inference('REWRITE',[status(thm)],[20,31,theory(equality)]) ).
cnf(34,plain,
$false,
inference('REWRITE',[status(thm)],[prove_a_plus_ab_is_a,32,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : BOO010-4 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n024.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 : Thu Jun 2 00:22:21 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-02T00:22:21
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-02T00:22:21
% 0.20/0.48
% 0.20/0.48 ; Recognized commutativity assertion (= (|add| ?X ?Y) (|add| ?Y ?X)).
% 0.20/0.48 ; Recognized commutativity assertion (= (|multiply| ?X ?Y) (|multiply| ?Y ?X)).
% 0.20/0.48 ; Recognized right identity assertion (= (|add| ?X |additive_identity|) ?X).
% 0.20/0.48 ; Recognized right identity assertion (= (|multiply| ?X |multiplicative_identity|) ?X).
% 0.20/0.48 ; Recognized possible right inverse assertion (= (|add| ?X (|inverse| ?X)) |multiplicative_identity|).
% 0.20/0.48 ; Recognized possible right inverse assertion (= (|multiply| ?X (|inverse| ?X)) |additive_identity|).
% 0.20/0.48 ; Declaring add to be commutative.
% 0.20/0.52 ; Declaring multiply to be commutative.
% 0.20/0.52
% 0.20/0.52 #||
% 0.20/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.52 % SZS output start Refutation
% See solution above
% 0.20/0.52 ||#
% 0.20/0.52
% 0.20/0.52 ; Summary of computation:
% 0.20/0.52 ; 110 formulas have been input or derived (from 12 formulas).
% 0.20/0.52 ; 34 (31%) were retained. Of these,
% 0.20/0.52 ; 13 (38%) were simplified or subsumed later,
% 0.20/0.52 ; 21 (62%) are still being kept.
% 0.20/0.52 ;
% 0.20/0.52 ; Run time in seconds excluding printing time:
% 0.20/0.52 ; 0.002 4% Read assertion file (1 call)
% 0.20/0.52 ; 0.000 0% Assert (9 calls)
% 0.20/0.52 ; 0.005 11% Process new row (94 calls)
% 0.20/0.52 ; 0.001 2% Resolution (22 calls)
% 0.20/0.52 ; 0.003 7% Paramodulation (11 calls)
% 0.20/0.52 ; 0.010 22% Forward simplification (78 calls)
% 0.20/0.52 ; 0.002 4% Backward simplification (34 calls)
% 0.20/0.52 ; 0.002 4% Ordering (200 calls)
% 0.20/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.52 ; 0.000 0% Purity testing (1 call)
% 0.20/0.52 ; 0.021 46% Other
% 0.20/0.52 ; 0.046 Total
% 0.20/0.52 ; 0.048 Real time
% 0.20/0.52 ;
% 0.20/0.52 ; Term-hash-array has 119 terms in all.
% 0.20/0.52 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.20/0.52 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.20/0.52 ; Path-index has 87 entries (115 at peak, 129 added, 42 deleted).
% 0.20/0.52 ; Path-index has 89 nodes (103 at peak, 109 added, 20 deleted).
% 0.20/0.52 ; Trie-index has 87 entries (115 at peak, 129 added, 42 deleted).
% 0.20/0.52 ; Trie-index has 415 nodes (572 at peak, 616 added, 201 deleted).
% 0.20/0.52 ; Retrieved 232 generalization terms in 478 calls.
% 0.20/0.52 ; Retrieved 143 instance terms in 37 calls.
% 0.20/0.52 ; Retrieved 138 unifiable terms in 64 calls.
% 0.20/0.52 ;
% 0.20/0.52 ; The agenda of backward simplifiable rows to process has 4 entries:
% 0.20/0.52 ; 4 with value 0
% 0.20/0.52 ; The agenda of rows to process has 6 entries:
% 0.20/0.52 ; 1 with value 24 5 with value 26
% 0.20/0.52 ; The agenda of rows to give has 12 entries:
% 0.20/0.52 ; 1 with value (4 11) 1 with value (4 19) 1 with value (4 36)
% 0.20/0.52 ; 4 with value (4 15) 1 with value (4 21) 3 with value (4 39)
% 0.20/0.52 ; 1 with value (4 17)
% 0.20/0.52 Evaluation took:
% 0.20/0.52 0.049 seconds of real time
% 0.20/0.52 0.044531 seconds of user run time
% 0.20/0.52 0.003993 seconds of system run time
% 0.20/0.52 0 calls to %EVAL
% 0.20/0.52 0 page faults and
% 0.20/0.52 3,549,800 bytes consed.
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-02T00:22:21
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 *
%------------------------------------------------------------------------------