TSTP Solution File: RNG023-7 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : RNG023-7 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n022.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 20:40:35 EDT 2022
% Result : Unsatisfiable 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 3
% Syntax : Number of clauses : 4 ( 4 unt; 0 nHn; 2 RR)
% Number of literals : 4 ( 3 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 : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 5 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(left_alternative,axiom,
multiply(multiply(X,X),Y) = multiply(X,multiply(X,Y)),
file('/export/starexec/sandbox/benchmark/Axioms/RNG003-0.ax',left_alternative) ).
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/Axioms/RNG003-0.ax',associator) ).
cnf(prove_left_alternative,negated_conjecture,
associator(x,x,y) != additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_left_alternative) ).
cnf(21,plain,
$false,
inference('REWRITE',[status(thm)],[prove_left_alternative,left_alternative,associator,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG023-7 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n022.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 : Mon May 30 22:25:07 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 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 2022-05-30T22:25:07
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-05-30T22:25:07
% 0.20/0.50
% 0.20/0.50 ; Recognized left identity assertion (= (|add| |additive_identity| ?X) ?X).
% 0.20/0.50 ; Recognized right identity assertion (= (|add| ?X |additive_identity|) ?X).
% 0.20/0.50 ; Recognized possible left inverse assertion (= (|add| (|additive_inverse| ?X) ?X) |additive_identity|).
% 0.20/0.50 ; Recognized possible right inverse assertion (= (|add| ?X (|additive_inverse| ?X)) |additive_identity|).
% 0.20/0.50 ; Recognized commutativity assertion (= (|add| ?X ?Y) (|add| ?Y ?X)).
% 0.20/0.50 ; Recognized associativity assertion (= (|add| ?X (|add| ?Y ?Z)) (|add| (|add| ?X ?Y) ?Z)).
% 0.20/0.50 ; Declaring add to be commutative.
% 0.20/0.52 ; Declaring add to be associative-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 ; 29 formulas have been input or derived (from 1 formulas).
% 0.20/0.52 ; 21 (72%) were retained. Of these,
% 0.20/0.52 ; 3 (14%) were simplified or subsumed later,
% 0.20/0.52 ; 18 (86%) are still being kept.
% 0.20/0.52 ;
% 0.20/0.52 ; Run time in seconds excluding printing time:
% 0.20/0.52 ; 0.004 13% Read assertion file (1 call)
% 0.20/0.52 ; 0.001 3% Assert (23 calls)
% 0.20/0.52 ; 0.002 6% Process new row (26 calls)
% 0.20/0.52 ; 0.001 3% Embedding (7 calls)
% 0.20/0.52 ; 0.000 0% Forward simplification (23 calls)
% 0.20/0.52 ; 0.000 0% Backward simplification (16 calls)
% 0.20/0.52 ; 0.000 0% Ordering (31 calls)
% 0.20/0.52 ; 0.001 3% Ordering ac (2 calls)
% 0.20/0.52 ; 0.001 3% Sortal reasoning (32 calls)
% 0.20/0.52 ; 0.000 0% Purity testing (1 call)
% 0.20/0.52 ; 0.021 68% Other
% 0.20/0.52 ; 0.031 Total
% 0.20/0.52 ; 0.032 Real time
% 0.20/0.52 ;
% 0.20/0.52 ; Term-hash-array has 63 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 64 entries (64 at peak, 67 added, 3 deleted).
% 0.20/0.52 ; Path-index has 187 nodes (187 at peak, 189 added, 2 deleted).
% 0.20/0.52 ; Trie-index has 64 entries (64 at peak, 67 added, 3 deleted).
% 0.20/0.52 ; Trie-index has 98 nodes (98 at peak, 105 added, 7 deleted).
% 0.20/0.52 ; Retrieved 79 generalization terms in 116 calls.
% 0.20/0.52 ; Retrieved 27 instance terms in 19 calls.
% 0.20/0.52 ;
% 0.20/0.52 ; The agenda of backward simplifiable rows to process has 1 entry:
% 0.20/0.52 ; 1 with value 0
% 0.20/0.52 ; The agenda of input rows to give has 17 entries:
% 0.20/0.52 ; 3 with value 7 2 with value 12 4 with value 16
% 0.20/0.52 ; 1 with value 8 2 with value 14 3 with value 22
% 0.20/0.52 ; 2 with value 9
% 0.20/0.52 Evaluation took:
% 0.20/0.52 0.032 seconds of real time
% 0.20/0.52 0.026888 seconds of user run time
% 0.20/0.52 0.005974 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 1,650,192 bytes consed.
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T22:25:07
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 *
%------------------------------------------------------------------------------