TSTP Solution File: RNG011-5 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : RNG011-5 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 : Mon Jul 18 20:40:33 EDT 2022
% Result : Unsatisfiable 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 8
% 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 : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 19 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(distribute_additive_inverse,axiom,
additive_inverse(add(X,Y)) = add(additive_inverse(X),additive_inverse(Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distribute_additive_inverse) ).
cnf(multiply_additive_inverse1,axiom,
multiply(X,additive_inverse(Y)) = additive_inverse(multiply(X,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_additive_inverse1) ).
cnf(multiply_additive_inverse2,axiom,
multiply(additive_inverse(X),Y) = additive_inverse(multiply(X,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_additive_inverse2) ).
cnf(distribute1,axiom,
multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distribute1) ).
cnf(distribute2,axiom,
multiply(add(X,Y),Z) = add(multiply(X,Z),multiply(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distribute2) ).
cnf(associator,axiom,
associator(X,Y,Z) = add(multiply(multiply(X,Y),Z),additive_inverse(multiply(X,multiply(Y,Z)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associator) ).
cnf(middle_associator,axiom,
multiply(multiply(associator(X,X,Y),X),associator(X,X,Y)) = additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',middle_associator) ).
cnf(20,plain,
add(multiply(multiply(multiply(multiply(X,X),Y),X),multiply(multiply(X,X),Y)),additive_inverse(add(multiply(multiply(multiply(multiply(X,X),Y),X),multiply(X,multiply(X,Y))),add(multiply(multiply(multiply(X,multiply(X,Y)),X),multiply(multiply(X,X),Y)),additive_inverse(multiply(multiply(multiply(X,multiply(X,Y)),X),multiply(X,multiply(X,Y)))))))) = additive_identity,
inference('REWRITE',[status(thm)],[middle_associator,distribute_additive_inverse,multiply_additive_inverse1,distribute1,multiply_additive_inverse2,distribute2,associator,theory(equality)]) ).
cnf(prove_equality,negated_conjecture,
multiply(multiply(associator(a,a,b),a),associator(a,a,b)) != additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equality) ).
cnf(23,plain,
$false,
inference('REWRITE',[status(thm)],[prove_equality,20,distribute_additive_inverse,multiply_additive_inverse1,distribute1,multiply_additive_inverse2,distribute2,associator,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG011-5 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon May 30 20:15:27 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T20:15:27
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-05-30T20:15:27
% 0.20/0.49
% 0.20/0.49 ; Recognized commutativity assertion (= (|add| ?X ?Y) (|add| ?Y ?X)).
% 0.20/0.49 ; Recognized associativity assertion (= (|add| (|add| ?X ?Y) ?Z) (|add| ?X (|add| ?Y ?Z))).
% 0.20/0.49 ; Recognized right identity assertion (= (|add| ?X |additive_identity|) ?X).
% 0.20/0.49 ; Recognized left identity assertion (= (|add| |additive_identity| ?X) ?X).
% 0.20/0.49 ; Recognized possible right inverse assertion (= (|add| ?X (|additive_inverse| ?X)) |additive_identity|).
% 0.20/0.49 ; Recognized possible left inverse assertion (= (|add| (|additive_inverse| ?X) ?X) |additive_identity|).
% 0.20/0.49 ; Declaring add to be commutative.
% 0.20/0.51 ; Declaring add to be associative-commutative.
% 0.20/0.51
% 0.20/0.51 #||
% 0.20/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.51 % SZS output start Refutation
% See solution above
% 0.20/0.51 ||#
% 0.20/0.51
% 0.20/0.51 ; Summary of computation:
% 0.20/0.51 ; 29 formulas have been input or derived (from 1 formulas).
% 0.20/0.51 ; 23 (79%) were retained. Of these,
% 0.20/0.51 ; 3 (13%) were simplified or subsumed later,
% 0.20/0.51 ; 20 (87%) are still being kept.
% 0.20/0.51 ;
% 0.20/0.51 ; Run time in seconds excluding printing time:
% 0.20/0.51 ; 0.004 12% Read assertion file (1 call)
% 0.20/0.51 ; 0.001 3% Assert (22 calls)
% 0.20/0.51 ; 0.004 12% Process new row (26 calls)
% 0.20/0.51 ; 0.000 0% Embedding (8 calls)
% 0.20/0.51 ; 0.001 3% Forward simplification (22 calls)
% 0.20/0.51 ; 0.000 0% Backward simplification (17 calls)
% 0.20/0.51 ; 0.000 0% Ordering (27 calls)
% 0.20/0.51 ; 0.000 0% Ordering ac (2 calls)
% 0.20/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.51 ; 0.000 0% Purity testing (1 call)
% 0.20/0.51 ; 0.022 69% Other
% 0.20/0.51 ; 0.032 Total
% 0.20/0.51 ; 0.034 Real time
% 0.20/0.51 ;
% 0.20/0.51 ; Term-hash-array has 77 terms in all.
% 0.20/0.51 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.20/0.51 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.20/0.51 ; Path-index has 78 entries (78 at peak, 80 added, 2 deleted).
% 0.20/0.51 ; Path-index has 476 nodes (476 at peak, 478 added, 2 deleted).
% 0.20/0.51 ; Trie-index has 78 entries (78 at peak, 80 added, 2 deleted).
% 0.20/0.51 ; Trie-index has 149 nodes (149 at peak, 160 added, 11 deleted).
% 0.20/0.51 ; Retrieved 141 generalization terms in 130 calls.
% 0.20/0.51 ; Retrieved 22 instance terms in 18 calls.
% 0.20/0.51 ;
% 0.20/0.51 ; The agenda of backward simplifiable rows to process has 1 entry:
% 0.20/0.51 ; 1 with value 0
% 0.20/0.51 ; The agenda of input rows to give has 19 entries:
% 0.20/0.51 ; 1 with value 6 2 with value 12 4 with value 16
% 0.20/0.51 ; 3 with value 7 2 with value 13 1 with value 22
% 0.20/0.51 ; 1 with value 8 1 with value 14 2 with value 68
% 0.20/0.51 ; 2 with value 9
% 0.20/0.51 Evaluation took:
% 0.20/0.51 0.035 seconds of real time
% 0.20/0.51 0.030106 seconds of user run time
% 0.20/0.51 0.004046 seconds of system run time
% 0.20/0.51 0 calls to %EVAL
% 0.20/0.51 0 page faults and
% 0.20/0.51 2,379,088 bytes consed.
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T20:15:27
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 *
%------------------------------------------------------------------------------