TSTP Solution File: RNG013-6 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : RNG013-6 : TPTP v8.1.0. Released v1.0.0.
% 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 : Mon Jul 18 20:40:33 EDT 2022
% Result : Unsatisfiable 0.47s 0.64s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 11 ( 11 unt; 0 nHn; 3 RR)
% Number of literals : 11 ( 10 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 : 14 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(left_additive_identity,axiom,
add(additive_identity,X) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',left_additive_identity) ).
cnf(left_multiplicative_zero,axiom,
multiply(additive_identity,X) = additive_identity,
file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',left_multiplicative_zero) ).
cnf(left_additive_inverse,axiom,
add(additive_inverse(X),X) = additive_identity,
file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',left_additive_inverse) ).
cnf(5,plain,
add(additive_inverse(X),add(X,Y)) = add(additive_identity,Y),
inference('EMBED',[status(thm)],[left_additive_inverse]) ).
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(prove_equation,negated_conjecture,
multiply(additive_inverse(a),b) != additive_inverse(multiply(a,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equation) ).
cnf(15,plain,
additive_identity = additive_inverse(additive_identity),
inference('PARAMODULATE',[status(thm)],[left_additive_identity,left_additive_inverse,theory(equality)]) ).
cnf(16,plain,
additive_inverse(X) = add(additive_inverse(add(X,Y)),Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[5,5,theory(equality)]),left_additive_identity,theory(equality)]) ).
cnf(35,plain,
additive_identity = add(multiply(X,Y),multiply(additive_inverse(X),Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[distribute2,left_additive_inverse,theory(equality)]),left_multiplicative_zero,theory(equality)]) ).
cnf(98,plain,
additive_inverse(multiply(X,Y)) = multiply(additive_inverse(X),Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[16,35,theory(equality)]),left_additive_identity,15,theory(equality)]) ).
cnf(103,plain,
$false,
inference('REWRITE',[status(thm)],[prove_equation,98,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : RNG013-6 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % 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 : Mon May 30 12:33:21 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 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 2022-05-30T12:33:21
% 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 2022-05-30T12:33:21
% 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.
% 0.47/0.64 ; Declaring add to be associative-commutative.
% 0.47/0.64
% 0.47/0.64 #||
% 0.47/0.64 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.64 % SZS output start Refutation
% See solution above
% 0.47/0.64 ||#
% 0.47/0.64
% 0.47/0.64 ; Summary of computation:
% 0.47/0.64 ; 561 formulas have been input or derived (from 24 formulas).
% 0.47/0.64 ; 103 (18%) were retained. Of these,
% 0.47/0.64 ; 23 (22%) were simplified or subsumed later,
% 0.47/0.64 ; 80 (78%) are still being kept.
% 0.47/0.64 ;
% 0.47/0.64 ; Run time in seconds excluding printing time:
% 0.47/0.64 ; 0.003 2% Read assertion file (1 call)
% 0.47/0.64 ; 0.000 0% Assert (16 calls)
% 0.47/0.64 ; 0.016 10% Process new row (533 calls)
% 0.47/0.64 ; 0.000 0% Resolution (46 calls)
% 0.47/0.64 ; 0.013 8% Paramodulation (23 calls)
% 0.47/0.64 ; 0.001 1% Embedding (38 calls)
% 0.47/0.64 ; 0.072 43% Forward simplification (487 calls)
% 0.47/0.64 ; 0.006 4% Backward simplification (69 calls)
% 0.47/0.64 ; 0.014 8% Ordering (1,513 calls)
% 0.47/0.65 ; 0.014 8% Ordering ac (895 calls)
% 0.47/0.65 ; 0.000 0% Sortal reasoning (32 calls)
% 0.47/0.65 ; 0.000 0% Purity testing (1 call)
% 0.47/0.65 ; 0.029 17% Other
% 0.47/0.65 ; 0.168 Total
% 0.47/0.65 ; 0.172 Real time
% 0.47/0.65 ;
% 0.47/0.65 ; Term-hash-array has 379 terms in all.
% 0.47/0.65 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.47/0.65 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.47/0.65 ; Path-index has 297 entries (332 at peak, 394 added, 97 deleted).
% 0.47/0.65 ; Path-index has 510 nodes (545 at peak, 607 added, 97 deleted).
% 0.47/0.65 ; Trie-index has 297 entries (332 at peak, 394 added, 97 deleted).
% 0.47/0.65 ; Trie-index has 312 nodes (381 at peak, 434 added, 122 deleted).
% 0.47/0.65 ; Retrieved 48,349 generalization terms in 5,389 calls.
% 0.47/0.65 ; Retrieved 302 instance terms in 102 calls.
% 0.47/0.65 ; Retrieved 830 unifiable terms in 125 calls.
% 0.47/0.65 ;
% 0.47/0.65 ; The agenda of rows to process has 14 entries:
% 0.47/0.65 ; 1 with value 18 3 with value 20 1 with value 22
% 0.47/0.65 ; 1 with value 19 3 with value 21 5 with value 23
% 0.47/0.65 ; The agenda of rows to give has 59 entries:
% 0.47/0.65 ; 2 with value (4 14) 2 with value (4 19) 2 with value (4 25)
% 0.47/0.65 ; 5 with value (4 15) 6 with value (4 20) 4 with value (4 28)
% 0.47/0.65 ; 2 with value (4 16) 2 with value (4 22) 4 with value (4 52)
% 0.47/0.65 ; 2 with value (4 18) 28 with value (4 24)
% 0.47/0.65 Evaluation took:
% 0.47/0.65 0.172 seconds of real time
% 0.47/0.65 0.155759 seconds of user run time
% 0.47/0.65 0.013993 seconds of system run time
% 0.47/0.65 0 calls to %EVAL
% 0.47/0.65 0 page faults and
% 0.47/0.65 7,559,192 bytes consed.
% 0.47/0.65 :PROOF-FOUND
% 0.47/0.65 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T12:33:22
% 0.47/0.65 :PROOF-FOUND
% 0.47/0.65 *
%------------------------------------------------------------------------------