TSTP Solution File: BOO013-4 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : BOO013-4 : TPTP v8.1.0. Released v1.1.0.
% 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 : Thu Jul 14 23:48:56 EDT 2022
% Result : Unsatisfiable 0.38s 0.58s
% Output : Refutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of clauses : 12 ( 12 unt; 0 nHn; 5 RR)
% Number of literals : 12 ( 11 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(distributivity2,axiom,
multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)),
file('/export/starexec/sandbox/benchmark/Axioms/BOO004-0.ax',distributivity2) ).
cnf(additive_id1,axiom,
add(X,additive_identity) = X,
file('/export/starexec/sandbox/benchmark/Axioms/BOO004-0.ax',additive_id1) ).
cnf(multiplicative_id1,axiom,
multiply(X,multiplicative_identity) = X,
file('/export/starexec/sandbox/benchmark/Axioms/BOO004-0.ax',multiplicative_id1) ).
cnf(additive_inverse1,axiom,
add(X,inverse(X)) = multiplicative_identity,
file('/export/starexec/sandbox/benchmark/Axioms/BOO004-0.ax',additive_inverse1) ).
cnf(multiplicative_inverse1,axiom,
multiply(X,inverse(X)) = additive_identity,
file('/export/starexec/sandbox/benchmark/Axioms/BOO004-0.ax',multiplicative_inverse1) ).
cnf(b_a_multiplicative_identity,hypothesis,
add(a,b) = multiplicative_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_a_multiplicative_identity) ).
cnf(b_an_additive_identity,hypothesis,
multiply(a,b) = additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_an_additive_identity) ).
cnf(prove_a_inverse_is_b,negated_conjecture,
b != inverse(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_inverse_is_b) ).
cnf(13,plain,
X = add(multiply(X,a),multiply(X,b)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[distributivity2,b_a_multiplicative_identity,theory(equality)]),multiplicative_id1,theory(equality)]) ).
cnf(15,plain,
X = add(multiply(X,Y),multiply(X,inverse(Y))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[distributivity2,additive_inverse1,theory(equality)]),multiplicative_id1,theory(equality)]) ).
cnf(43,plain,
inverse(a) = multiply(inverse(a),b),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[13,multiplicative_inverse1,theory(equality)]),additive_id1,theory(equality)]) ).
cnf(162,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[15,b_an_additive_identity,theory(equality)]),prove_a_inverse_is_b,additive_id1,43,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : BOO013-4 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n024.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 16:02:36 EDT 2022
% 0.12/0.33 % 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 2022-06-01T16:02:36
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-01T16:02:36
% 0.18/0.48
% 0.18/0.48 ; Recognized commutativity assertion (= (|add| ?X ?Y) (|add| ?Y ?X)).
% 0.18/0.48 ; Recognized commutativity assertion (= (|multiply| ?X ?Y) (|multiply| ?Y ?X)).
% 0.18/0.48 ; Recognized right identity assertion (= (|add| ?X |additive_identity|) ?X).
% 0.18/0.48 ; Recognized right identity assertion (= (|multiply| ?X |multiplicative_identity|) ?X).
% 0.18/0.48 ; Recognized possible right inverse assertion (= (|add| ?X (|inverse| ?X)) |multiplicative_identity|).
% 0.18/0.48 ; Recognized possible right inverse assertion (= (|multiply| ?X (|inverse| ?X)) |additive_identity|).
% 0.18/0.48 ; Declaring add to be commutative.
% 0.38/0.58 ; Declaring multiply to be commutative.
% 0.38/0.58
% 0.38/0.58 #||
% 0.38/0.58 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/0.58 % SZS output start Refutation
% See solution above
% 0.38/0.58 ||#
% 0.38/0.58
% 0.38/0.58 ; Summary of computation:
% 0.38/0.58 ; 532 formulas have been input or derived (from 40 formulas).
% 0.38/0.58 ; 162 (30%) were retained. Of these,
% 0.38/0.58 ; 113 (70%) were simplified or subsumed later,
% 0.38/0.58 ; 49 (30%) are still being kept.
% 0.38/0.58 ;
% 0.38/0.58 ; Run time in seconds excluding printing time:
% 0.38/0.58 ; 0.002 2% Read assertion file (1 call)
% 0.38/0.58 ; 0.001 1% Assert (11 calls)
% 0.38/0.58 ; 0.021 18% Process new row (480 calls)
% 0.38/0.58 ; 0.001 1% Resolution (78 calls)
% 0.38/0.58 ; 0.008 7% Paramodulation (39 calls)
% 0.38/0.58 ; 0.038 33% Forward simplification (437 calls)
% 0.38/0.58 ; 0.018 16% Backward simplification (162 calls)
% 0.38/0.58 ; 0.006 5% Ordering (877 calls)
% 0.38/0.58 ; 0.000 0% Sortal reasoning (32 calls)
% 0.38/0.58 ; 0.000 0% Purity testing (1 call)
% 0.38/0.58 ; 0.020 17% Other
% 0.38/0.58 ; 0.115 Total
% 0.38/0.58 ; 0.118 Real time
% 0.38/0.58 ;
% 0.38/0.58 ; Term-hash-array has 404 terms in all.
% 0.38/0.58 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.38/0.58 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.38/0.58 ; Path-index has 154 entries (289 at peak, 440 added, 286 deleted).
% 0.38/0.58 ; Path-index has 128 nodes (153 at peak, 160 added, 32 deleted).
% 0.38/0.58 ; Trie-index has 154 entries (289 at peak, 440 added, 286 deleted).
% 0.38/0.58 ; Trie-index has 666 nodes (1,305 at peak, 2,068 added, 1,402 deleted).
% 0.38/0.58 ; Retrieved 1,605 generalization terms in 2,184 calls.
% 0.38/0.58 ; Retrieved 831 instance terms in 167 calls.
% 0.38/0.58 ; Retrieved 1,392 unifiable terms in 233 calls.
% 0.38/0.58 ;
% 0.38/0.58 ; The agenda of rows to process has 24 entries:
% 0.38/0.58 ; 5 with value 14 6 with value 18 1 with value 24
% 0.38/0.58 ; 4 with value 15 1 with value 19 1 with value 26
% 0.38/0.58 ; 4 with value 16 2 with value 23
% 0.38/0.58 ; The agenda of rows to give has 26 entries:
% 0.38/0.58 ; 1 with value (4 8) 2 with value (4 20) 2 with value (4 25)
% 0.38/0.58 ; 1 with value (4 9) 4 with value (4 21) 2 with value (4 29)
% 0.38/0.58 ; 4 with value (4 15) 1 with value (4 22) 1 with value (4 31)
% 0.38/0.58 ; 1 with value (4 16) 1 with value (4 23) 1 with value (4 33)
% 0.38/0.58 ; 2 with value (4 17) 1 with value (4 24) 1 with value (4 36)
% 0.38/0.58 ; 1 with value (4 19)
% 0.38/0.58 Evaluation took:
% 0.38/0.58 0.118 seconds of real time
% 0.38/0.58 0.109818 seconds of user run time
% 0.38/0.58 0.007851 seconds of system run time
% 0.38/0.58 0 calls to %EVAL
% 0.38/0.58 0 page faults and
% 0.38/0.58 7,927,120 bytes consed.
% 0.38/0.58 :PROOF-FOUND
% 0.38/0.58 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-01T16:02:36
% 0.38/0.58 :PROOF-FOUND
% 0.38/0.58 *
%------------------------------------------------------------------------------