TSTP Solution File: BOO021-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : BOO021-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 : Thu Jul 14 23:48:58 EDT 2022
% Result : Unsatisfiable 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 7 unt; 0 nHn; 2 RR)
% Number of literals : 7 ( 6 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 10 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(multiply_add,axiom,
multiply(add(X,Y),Y) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_add) ).
cnf(multiply_add_property,axiom,
multiply(X,add(Y,Z)) = add(multiply(Y,X),multiply(Z,X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_add_property) ).
cnf(add_multiply,axiom,
add(multiply(X,Y),Y) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',add_multiply) ).
cnf(prove_commutativity_of_multiply,negated_conjecture,
multiply(b,a) != multiply(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_commutativity_of_multiply) ).
cnf(12,plain,
add(X,X) = X,
inference('PARAMODULATE',[status(thm)],[add_multiply,multiply_add,theory(equality)]) ).
cnf(27,plain,
multiply(X,Y) = multiply(Y,X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[multiply_add_property,12,theory(equality)]),12,theory(equality)]) ).
cnf(28,plain,
$false,
inference('REWRITE',[status(thm)],[prove_commutativity_of_multiply,27,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : BOO021-1 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 1 22:55:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-01T22:55:08
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-01T22:55:08
% 0.18/0.48
% 0.18/0.48 ; Recognized possible right inverse assertion (= (|add| ?X (|inverse| ?X)) |n1|).
% 0.18/0.50 ; Recognized possible right inverse assertion (= (|multiply| ?X (|inverse| ?X)) |n0|).
% 0.18/0.50
% 0.18/0.50 #||
% 0.18/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.50 % SZS output start Refutation
% See solution above
% 0.18/0.50 ||#
% 0.18/0.50
% 0.18/0.50 ; Summary of computation:
% 0.18/0.50 ; 42 formulas have been input or derived (from 10 formulas).
% 0.18/0.50 ; 28 (67%) were retained. Of these,
% 0.18/0.50 ; 4 (14%) were simplified or subsumed later,
% 0.18/0.50 ; 24 (86%) are still being kept.
% 0.18/0.50 ;
% 0.18/0.50 ; Run time in seconds excluding printing time:
% 0.18/0.50 ; 0.001 3% Read assertion file (1 call)
% 0.18/0.50 ; 0.001 3% Assert (7 calls)
% 0.18/0.50 ; 0.003 10% Process new row (40 calls)
% 0.18/0.50 ; 0.000 0% Resolution (18 calls)
% 0.18/0.50 ; 0.002 6% Paramodulation (9 calls)
% 0.18/0.50 ; 0.001 3% Forward simplification (40 calls)
% 0.18/0.50 ; 0.000 0% Backward simplification (27 calls)
% 0.18/0.50 ; 0.001 3% Ordering (96 calls)
% 0.18/0.50 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.50 ; 0.000 0% Purity testing (1 call)
% 0.18/0.50 ; 0.022 71% Other
% 0.18/0.50 ; 0.031 Total
% 0.18/0.50 ; 0.032 Real time
% 0.18/0.50 ;
% 0.18/0.50 ; Term-hash-array has 93 terms in all.
% 0.18/0.50 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.18/0.50 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.18/0.50 ; Path-index has 86 entries (91 at peak, 101 added, 15 deleted).
% 0.18/0.50 ; Path-index has 304 nodes (314 at peak, 330 added, 26 deleted).
% 0.18/0.50 ; Trie-index has 86 entries (91 at peak, 101 added, 15 deleted).
% 0.18/0.50 ; Trie-index has 336 nodes (352 at peak, 393 added, 57 deleted).
% 0.18/0.50 ; Retrieved 166 generalization terms in 183 calls.
% 0.18/0.50 ; Retrieved 90 instance terms in 26 calls.
% 0.18/0.50 ; Retrieved 128 unifiable terms in 47 calls.
% 0.18/0.50 ;
% 0.18/0.50 ; The agenda of rows to process has 1 entry:
% 0.18/0.50 ; 1 with value 16
% 0.18/0.50 ; The agenda of rows to give has 15 entries:
% 0.18/0.50 ; 1 with value (4 10) 2 with value (4 17) 2 with value (4 21)
% 0.18/0.50 ; 3 with value (4 11) 2 with value (4 18) 1 with value (4 29)
% 0.18/0.50 ; 1 with value (4 12) 1 with value (4 20) 1 with value (4 33)
% 0.18/0.50 ; 1 with value (4 14)
% 0.18/0.50 Evaluation took:
% 0.18/0.50 0.033 seconds of real time
% 0.18/0.50 0.026402 seconds of user run time
% 0.18/0.50 0.006409 seconds of system run time
% 0.18/0.50 0 calls to %EVAL
% 0.18/0.50 0 page faults and
% 0.18/0.50 1,846,424 bytes consed.
% 0.18/0.50 :PROOF-FOUND
% 0.18/0.50 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-01T22:55:08
% 0.18/0.50 :PROOF-FOUND
% 0.18/0.50 *
%------------------------------------------------------------------------------