TSTP Solution File: RNG021-7 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : RNG021-7 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n032.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 0.16s 0.46s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 7 unt; 0 nHn; 3 RR)
% Number of literals : 7 ( 6 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 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 : 11 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(distribute2,axiom,
multiply(add(X,Y),Z) = add(multiply(X,Z),multiply(Y,Z)),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/RNG003-0.ax',associator) ).
cnf(inverse_product2,axiom,
multiply(X,additive_inverse(Y)) = additive_inverse(multiply(X,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse_product2) ).
cnf(prove_linearised_form3,negated_conjecture,
associator(add(u,v),x,y) != add(associator(u,x,y),associator(v,x,y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_linearised_form3) ).
cnf(21,plain,
add(multiply(multiply(u,x),y),add(multiply(multiply(v,x),y),additive_inverse(add(multiply(u,multiply(x,y)),multiply(v,multiply(x,y)))))) != add(multiply(multiply(u,x),y),add(additive_inverse(multiply(u,multiply(x,y))),add(multiply(multiply(v,x),y),additive_inverse(multiply(v,multiply(x,y)))))),
inference('REWRITE',[status(thm)],[prove_linearised_form3,distribute2,associator,theory(equality)]) ).
cnf(42,plain,
add(additive_inverse(multiply(X,Y)),additive_inverse(multiply(Z,Y))) = additive_inverse(add(multiply(X,Y),multiply(Z,Y))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[inverse_product2,distribute2,theory(equality)]),distribute2,inverse_product2,theory(equality)]) ).
cnf(44,plain,
$false,
inference('REWRITE',[status(thm)],[21,42,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : RNG021-7 : TPTP v8.1.0. Released v1.0.0.
% 0.02/0.12 % Command : run-snark %s %d
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 600
% 0.11/0.31 % DateTime : Mon May 30 15:07:42 EDT 2022
% 0.11/0.31 % CPUTime :
% 0.16/0.40 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.41 *
% 0.16/0.41 *
% 0.16/0.42 #<PACKAGE "SNARK-USER">
% 0.16/0.42 *
% 0.16/0.42 SNARK-TPTP-OPTIONS
% 0.16/0.42 *
% 0.16/0.42 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.16/0.42 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.16/0.42 (USE-FACTORING :POS)
% 0.16/0.42 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.16/0.42 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.16/0.42 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.16/0.42 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.16/0.42 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.16/0.42 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.16/0.42 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.16/0.42 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.16/0.42 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.16/0.42 (DECLARE-TPTP-SYMBOLS2))
% 0.16/0.42 *
% 0.16/0.42 "."
% 0.16/0.42 *
% 0.16/0.42 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T15:07:42
% 0.16/0.42 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-05-30T15:07:42
% 0.16/0.43
% 0.16/0.43 ; Recognized left identity assertion (= (|add| |additive_identity| ?X) ?X).
% 0.16/0.43 ; Recognized right identity assertion (= (|add| ?X |additive_identity|) ?X).
% 0.16/0.43 ; Recognized possible left inverse assertion (= (|add| (|additive_inverse| ?X) ?X) |additive_identity|).
% 0.16/0.43 ; Recognized possible right inverse assertion (= (|add| ?X (|additive_inverse| ?X)) |additive_identity|).
% 0.16/0.43 ; Recognized commutativity assertion (= (|add| ?X ?Y) (|add| ?Y ?X)).
% 0.16/0.43 ; Recognized associativity assertion (= (|add| ?X (|add| ?Y ?Z)) (|add| (|add| ?X ?Y) ?Z)).
% 0.16/0.43 ; Declaring add to be commutative.
% 0.16/0.46 ; Declaring add to be associative-commutative.
% 0.16/0.46
% 0.16/0.46 #||
% 0.16/0.46 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.46 % SZS output start Refutation
% See solution above
% 0.16/0.46 ||#
% 0.16/0.46
% 0.16/0.46 ; Summary of computation:
% 0.16/0.46 ; 199 formulas have been input or derived (from 13 formulas).
% 0.16/0.46 ; 44 (22%) were retained. Of these,
% 0.16/0.46 ; 4 ( 9%) were simplified or subsumed later,
% 0.16/0.46 ; 40 (91%) are still being kept.
% 0.16/0.46 ;
% 0.16/0.46 ; Run time in seconds:
% 0.16/0.46 ; 0.003 8% Read assertion file (1 call)
% 0.16/0.46 ; 0.000 0% Assert (23 calls)
% 0.16/0.46 ; 0.004 11% Process new row (163 calls)
% 0.16/0.46 ; 0.000 0% Resolution (24 calls)
% 0.16/0.46 ; 0.003 8% Paramodulation (12 calls)
% 0.16/0.46 ; 0.000 0% Embedding (12 calls)
% 0.16/0.46 ; 0.006 16% Forward simplification (155 calls)
% 0.16/0.46 ; 0.001 3% Backward simplification (34 calls)
% 0.16/0.46 ; 0.000 0% Ordering (435 calls)
% 0.16/0.46 ; 0.002 5% Ordering ac (39 calls)
% 0.16/0.46 ; 0.000 0% Sortal reasoning (32 calls)
% 0.16/0.46 ; 0.000 0% Purity testing (1 call)
% 0.16/0.46 ; 0.019 50% Other
% 0.16/0.46 ; 0.038 Total
% 0.16/0.46 ; 0.039 Real time
% 0.16/0.46 ;
% 0.16/0.46 ; Term-hash-array has 157 terms in all.
% 0.16/0.46 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.16/0.46 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.16/0.46 ; Path-index has 146 entries (157 at peak, 167 added, 21 deleted).
% 0.16/0.46 ; Path-index has 269 nodes (315 at peak, 321 added, 52 deleted).
% 0.16/0.46 ; Trie-index has 146 entries (157 at peak, 167 added, 21 deleted).
% 0.16/0.46 ; Trie-index has 251 nodes (277 at peak, 288 added, 37 deleted).
% 0.16/0.46 ; Retrieved 2,777 generalization terms in 1,339 calls.
% 0.16/0.46 ; Retrieved 123 instance terms in 57 calls.
% 0.16/0.46 ; Retrieved 266 unifiable terms in 63 calls.
% 0.16/0.46 ;
% 0.16/0.46 ; The agenda of rows to process has 30 entries:
% 0.16/0.46 ; 2 with value 21 5 with value 24 2 with value 28
% 0.16/0.46 ; 5 with value 22 5 with value 26 2 with value 29
% 0.16/0.46 ; 2 with value 23 4 with value 27 3 with value 31
% 0.16/0.46 ; The agenda of input rows to give has 5 entries:
% 0.16/0.46 ; 2 with value 16 3 with value 22
% 0.16/0.46 ; The agenda of rows to give has 22 entries:
% 0.16/0.46 ; 1 with value (4 7) 5 with value (4 20) 2 with value (4 28)
% 0.16/0.46 ; 2 with value (4 14) 2 with value (4 23) 4 with value (4 52)
% 0.16/0.46 ; 2 with value (4 18) 4 with value (4 24)
% 0.16/0.46 Evaluation took:
% 0.16/0.46 0.039 seconds of real time
% 0.16/0.46 0.035663 seconds of user run time
% 0.16/0.46 0.003126 seconds of system run time
% 0.16/0.46 0 calls to %EVAL
% 0.16/0.46 0 page faults and
% 0.16/0.46 3,230,800 bytes consed.
% 0.16/0.46 :PROOF-FOUND
% 0.16/0.46 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T15:07:42
% 0.16/0.46 :PROOF-FOUND
% 0.16/0.46 *
%------------------------------------------------------------------------------