TSTP Solution File: BOO028-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : BOO028-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n017.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 23:49:02 EDT 2022
% Result : Unsatisfiable 0.72s 0.89s
% Output : Refutation 0.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of clauses : 20 ( 20 unt; 0 nHn; 2 RR)
% Number of literals : 20 ( 19 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 46 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(l1,axiom,
add(X,multiply(Y,multiply(X,Z))) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1) ).
cnf(b1,axiom,
multiply(add(X,Y),add(X,inverse(Y))) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b1) ).
cnf(6,plain,
multiply(add(X,Y),multiply(add(X,inverse(Y)),Z)) = multiply(X,Z),
inference('EMBED',[status(thm)],[b1]) ).
cnf(l2,axiom,
multiply(X,add(Y,add(X,Z))) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l2) ).
cnf(8,plain,
multiply(X,multiply(add(Y,add(X,Z)),U)) = multiply(X,U),
inference('EMBED',[status(thm)],[l2]) ).
cnf(b2,axiom,
add(multiply(X,Y),multiply(X,inverse(Y))) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b2) ).
cnf(12,plain,
add(multiply(X,Y),add(multiply(X,inverse(Y)),Z)) = add(X,Z),
inference('EMBED',[status(thm)],[b2]) ).
cnf(prove_multiply_add_property,negated_conjecture,
multiply(a,add(b,c)) != add(multiply(b,a),multiply(c,a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_multiply_add_property) ).
cnf(20,plain,
add(X,multiply(X,Y)) = X,
inference('PARAMODULATE',[status(thm)],[l1,l2,theory(equality)]) ).
cnf(21,plain,
add(X,add(multiply(X,Y),Z)) = add(X,Z),
inference('EMBED',[status(thm)],[20]) ).
cnf(28,plain,
multiply(add(X,Y),Y) = Y,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,6,theory(equality)]),l2,theory(equality)]) ).
cnf(29,plain,
multiply(add(X,Y),multiply(Y,Z)) = multiply(Y,Z),
inference('EMBED',[status(thm)],[28]) ).
cnf(32,plain,
multiply(X,add(inverse(Y),inverse(X))) = multiply(inverse(Y),add(X,Y)),
inference('PARAMODULATE',[status(thm)],[6,6,theory(equality)]) ).
cnf(99,plain,
multiply(X,add(multiply(X,Y),inverse(X))) = multiply(X,Y),
inference('PARAMODULATE',[status(thm)],[b1,20,theory(equality)]) ).
cnf(113,plain,
add(multiply(X,Y),inverse(X)) = add(Y,inverse(X)),
inference('PARAMODULATE',[status(thm)],[12,21,theory(equality)]) ).
cnf(115,plain,
multiply(X,add(Y,inverse(X))) = multiply(X,Y),
inference('REWRITE',[status(thm)],[99,113,theory(equality)]) ).
cnf(117,plain,
multiply(X,inverse(Y)) = multiply(inverse(Y),add(X,Y)),
inference('REWRITE',[status(thm)],[32,115,theory(equality)]) ).
cnf(126,plain,
add(multiply(X,Y),multiply(X,multiply(inverse(Y),Z))) = add(multiply(X,Z),multiply(X,Y)),
inference('PARAMODULATE',[status(thm)],[12,21,theory(equality)]) ).
cnf(166,plain,
add(multiply(X,Z),multiply(X,Y)) = multiply(X,add(Y,Z)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[b2,29,theory(equality)]),126,117,theory(equality)]) ).
cnf(184,plain,
$false,
inference('REWRITE',[status(thm)],[prove_multiply_add_property,166,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : BOO028-1 : TPTP v8.1.0. Released v2.2.0.
% 0.10/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n017.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 19:54:12 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.49 *
% 0.18/0.49 *
% 0.18/0.50 #<PACKAGE "SNARK-USER">
% 0.18/0.50 *
% 0.18/0.50 SNARK-TPTP-OPTIONS
% 0.18/0.50 *
% 0.18/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.50 (USE-FACTORING :POS)
% 0.18/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.50 *
% 0.18/0.50 "."
% 0.18/0.50 *
% 0.18/0.50 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-01T19:54:12
% 0.18/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-01T19:54:12
% 0.18/0.52
% 0.18/0.52 ; Recognized commutativity assertion (= (|add| ?X ?Y) (|add| ?Y ?X)).
% 0.18/0.52 ; Recognized commutativity assertion (= (|multiply| ?X ?Y) (|multiply| ?Y ?X)).
% 0.18/0.52 ; Recognized associativity assertion (= (|add| (|add| ?X ?Y) ?Z) (|add| ?X (|add| ?Y ?Z))).
% 0.18/0.52 ; Recognized associativity assertion (= (|multiply| (|multiply| ?X ?Y) ?Z) (|multiply| ?X (|multiply| ?Y ?Z))).
% 0.18/0.52 ; Declaring add to be commutative.
% 0.18/0.52 ; Declaring add to be associative-commutative.
% 0.18/0.52 ; Declaring multiply to be commutative.
% 0.72/0.89 ; Declaring multiply to be associative-commutative.
% 0.72/0.89
% 0.72/0.89 #||
% 0.72/0.89 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.72/0.89 % SZS output start Refutation
% See solution above
% 0.72/0.89 ||#
% 0.72/0.89
% 0.72/0.89 ; Summary of computation:
% 0.72/0.89 ; 2421 formulas have been input or derived (from 18 formulas).
% 0.72/0.89 ; 184 ( 8%) were retained. Of these,
% 0.72/0.89 ; 133 (72%) were simplified or subsumed later,
% 0.72/0.89 ; 51 (28%) are still being kept.
% 0.72/0.89 ;
% 0.72/0.89 ; Run time in seconds excluding printing time:
% 0.72/0.89 ; 0.004 1% Read assertion file (1 call)
% 0.72/0.89 ; 0.000 0% Assert (11 calls)
% 0.72/0.89 ; 0.014 4% Process new row (1,620 calls)
% 0.72/0.89 ; 0.000 0% Resolution (34 calls)
% 0.72/0.89 ; 0.074 19% Paramodulation (17 calls)
% 0.72/0.89 ; 0.009 2% Embedding (93 calls)
% 0.72/0.89 ; 0.101 26% Forward simplification (1,386 calls)
% 0.72/0.89 ; 0.038 10% Backward simplification (95 calls)
% 0.72/0.89 ; 0.002 1% Ordering (445 calls)
% 0.72/0.89 ; 0.114 29% Ordering ac (304 calls)
% 0.72/0.89 ; 0.000 0% Sortal reasoning (32 calls)
% 0.72/0.89 ; 0.000 0% Purity testing (1 call)
% 0.72/0.89 ; 0.034 9% Other
% 0.72/0.89 ; 0.390 Total
% 0.72/0.89 ; 0.392 Real time
% 0.72/0.89 ;
% 0.72/0.89 ; Term-hash-array has 619 terms in all.
% 0.72/0.89 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.72/0.89 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.72/0.89 ; Path-index has 193 entries (398 at peak, 665 added, 472 deleted).
% 0.72/0.89 ; Path-index has 131 nodes (176 at peak, 205 added, 74 deleted).
% 0.72/0.89 ; Trie-index has 193 entries (398 at peak, 665 added, 472 deleted).
% 0.72/0.89 ; Trie-index has 20 nodes (21 at peak, 24 added, 4 deleted).
% 0.72/0.89 ; Retrieved 54,355 generalization terms in 3,993 calls.
% 0.72/0.89 ; Retrieved 1,906 instance terms in 110 calls.
% 0.72/0.89 ; Retrieved 1,214 unifiable terms in 85 calls.
% 0.72/0.89 ;
% 0.72/0.89 ; The agenda of rows to process has 49 entries:
% 0.72/0.89 ; 2 with value 24 2 with value 30 2 with value 37
% 0.72/0.89 ; 3 with value 25 6 with value 31 1 with value 38
% 0.72/0.89 ; 4 with value 26 1 with value 32 3 with value 39
% 0.72/0.89 ; 4 with value 27 4 with value 33 1 with value 41
% 0.72/0.89 ; 3 with value 28 1 with value 34 1 with value 43
% 0.72/0.89 ; 6 with value 29 4 with value 35 1 with value 49
% 0.72/0.89 ; The agenda of input rows to give has 1 entry:
% 0.72/0.89 ; 1 with value 12
% 0.72/0.89 ; The agenda of rows to give has 41 entries:
% 0.72/0.89 ; 5 with value (4 16) 4 with value (4 24) 2 with value (4 38)
% 0.72/0.89 ; 4 with value (4 18) 4 with value (4 25) 2 with value (4 39)
% 0.72/0.89 ; 2 with value (4 19) 2 with value (4 27) 2 with value (4 48)
% 0.72/0.89 ; 4 with value (4 20) 4 with value (4 28) 2 with value (4 49)
% 0.72/0.89 ; 4 with value (4 22)
% 0.72/0.89 Evaluation took:
% 0.72/0.89 0.392 seconds of real time
% 0.72/0.89 0.377792 seconds of user run time
% 0.72/0.89 0.014117 seconds of system run time
% 0.72/0.89 [Run times include 0.005 seconds GC run time.]
% 0.72/0.89 0 calls to %EVAL
% 0.72/0.89 0 page faults and
% 0.72/0.89 24,770,768 bytes consed.
% 0.72/0.89 :PROOF-FOUND
% 0.72/0.89 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-01T19:54:12
% 0.72/0.89 :PROOF-FOUND
% 0.72/0.89 *
%------------------------------------------------------------------------------