TSTP Solution File: RNG020-7 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : RNG020-7 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 20:40:34 EDT 2022
% Result : Unsatisfiable 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of clauses : 8 ( 8 unt; 0 nHn; 2 RR)
% Number of literals : 8 ( 7 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 : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 17 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(distribute1,axiom,
multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',distribute1) ).
cnf(distribute2,axiom,
multiply(add(X,Y),Z) = add(multiply(X,Z),multiply(Y,Z)),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',distribute2) ).
cnf(associator,axiom,
associator(X,Y,Z) = add(multiply(multiply(X,Y),Z),additive_inverse(multiply(X,multiply(Y,Z)))),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',associator) ).
cnf(inverse_product1,axiom,
multiply(additive_inverse(X),Y) = additive_inverse(multiply(X,Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse_product1) ).
cnf(distributivity_of_difference3,axiom,
multiply(additive_inverse(X),add(Y,Z)) = add(additive_inverse(multiply(X,Y)),additive_inverse(multiply(X,Z))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity_of_difference3) ).
cnf(18,plain,
additive_inverse(add(multiply(X,Y),multiply(X,Z))) = add(additive_inverse(multiply(X,Y)),additive_inverse(multiply(X,Z))),
inference('REWRITE',[status(thm)],[distributivity_of_difference3,distribute1,inverse_product1,theory(equality)]) ).
cnf(prove_linearised_form2,negated_conjecture,
associator(x,add(u,v),y) != add(associator(x,u,y),associator(x,v,y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_linearised_form2) ).
cnf(21,plain,
$false,
inference('REWRITE',[status(thm)],[prove_linearised_form2,18,distribute2,distribute1,associator,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : RNG020-7 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n025.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 07:45:57 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-05-30T07:45:57
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-05-30T07:45:57
% 0.20/0.49
% 0.20/0.49 ; Recognized left identity assertion (= (|add| |additive_identity| ?X) ?X).
% 0.20/0.49 ; Recognized right identity assertion (= (|add| ?X |additive_identity|) ?X).
% 0.20/0.49 ; Recognized possible left inverse assertion (= (|add| (|additive_inverse| ?X) ?X) |additive_identity|).
% 0.20/0.49 ; Recognized possible right inverse assertion (= (|add| ?X (|additive_inverse| ?X)) |additive_identity|).
% 0.20/0.49 ; Recognized commutativity assertion (= (|add| ?X ?Y) (|add| ?Y ?X)).
% 0.20/0.49 ; Recognized associativity assertion (= (|add| ?X (|add| ?Y ?Z)) (|add| (|add| ?X ?Y) ?Z)).
% 0.20/0.49 ; Declaring add to be commutative.
% 0.20/0.50 ; Declaring add to be associative-commutative.
% 0.20/0.50
% 0.20/0.50 #||
% 0.20/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.50 % SZS output start Refutation
% See solution above
% 0.20/0.50 ||#
% 0.20/0.50
% 0.20/0.50 ; Summary of computation:
% 0.20/0.50 ; 29 formulas have been input or derived (from 1 formulas).
% 0.20/0.50 ; 21 (72%) were retained. Of these,
% 0.20/0.50 ; 3 (14%) were simplified or subsumed later,
% 0.20/0.50 ; 18 (86%) are still being kept.
% 0.20/0.50 ;
% 0.20/0.50 ; Run time in seconds:
% 0.20/0.50 ; 0.005 16% Read assertion file (1 call)
% 0.20/0.50 ; 0.001 3% Assert (23 calls)
% 0.20/0.50 ; 0.002 6% Process new row (26 calls)
% 0.20/0.50 ; 0.000 0% Embedding (7 calls)
% 0.20/0.50 ; 0.001 3% Forward simplification (23 calls)
% 0.20/0.50 ; 0.000 0% Backward simplification (16 calls)
% 0.20/0.50 ; 0.000 0% Ordering (28 calls)
% 0.20/0.50 ; 0.000 0% Ordering ac (2 calls)
% 0.20/0.50 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.50 ; 0.000 0% Purity testing (1 call)
% 0.20/0.50 ; 0.023 72% Other
% 0.20/0.50 ; 0.032 Total
% 0.20/0.50 ; 0.033 Real time
% 0.20/0.50 ;
% 0.20/0.50 ; Term-hash-array has 63 terms in all.
% 0.20/0.50 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.20/0.50 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.20/0.50 ; Path-index has 66 entries (66 at peak, 69 added, 3 deleted).
% 0.20/0.50 ; Path-index has 189 nodes (189 at peak, 191 added, 2 deleted).
% 0.20/0.50 ; Trie-index has 66 entries (66 at peak, 69 added, 3 deleted).
% 0.20/0.50 ; Trie-index has 100 nodes (100 at peak, 107 added, 7 deleted).
% 0.20/0.50 ; Retrieved 126 generalization terms in 144 calls.
% 0.20/0.50 ; Retrieved 27 instance terms in 19 calls.
% 0.20/0.50 ;
% 0.20/0.50 ; The agenda of backward simplifiable rows to process has 1 entry:
% 0.20/0.50 ; 1 with value 0
% 0.20/0.50 ; The agenda of input rows to give has 17 entries:
% 0.20/0.50 ; 3 with value 7 2 with value 12 4 with value 16
% 0.20/0.50 ; 1 with value 8 2 with value 14 3 with value 22
% 0.20/0.50 ; 2 with value 9
% 0.20/0.50 Evaluation took:
% 0.20/0.50 0.033 seconds of real time
% 0.20/0.50 0.027378 seconds of user run time
% 0.20/0.50 0.00598 seconds of system run time
% 0.20/0.50 0 calls to %EVAL
% 0.20/0.50 0 page faults and
% 0.20/0.50 2,063,640 bytes consed.
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T07:45:57
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 *
%------------------------------------------------------------------------------