TSTP Solution File: BOO013-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : BOO013-3 : TPTP v8.1.0. Released v1.0.0.
% 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 23:48:56 EDT 2022
% Result : Unsatisfiable 0.67s 0.85s
% Output : Refutation 0.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 10
% Syntax : Number of clauses : 13 ( 10 unt; 0 nHn; 11 RR)
% Number of literals : 23 ( 2 equ; 12 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 21 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(closure_of_addition,axiom,
sum(X,Y,add(X,Y)),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',closure_of_addition) ).
cnf(additive_identity1,axiom,
sum(additive_identity,X,X),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',additive_identity1) ).
cnf(distributivity5,axiom,
( ~ sum(X,Y,Z)
| ~ sum(X,U,V)
| ~ product(Y,U,W)
| ~ sum(X,W,X1)
| product(Z,V,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',distributivity5) ).
cnf(distributivity6,axiom,
( ~ sum(X,Y,Z)
| ~ sum(X,U,V)
| ~ product(Y,U,W)
| ~ product(Z,V,X1)
| sum(X,W,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',distributivity6) ).
cnf(addition_is_well_defined,axiom,
( ~ sum(X,Y,Z)
| ~ sum(X,Y,U)
| Z = U ),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',addition_is_well_defined) ).
cnf(sum_to_multiplicative_identity1,negated_conjecture,
sum(x,y,multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_to_multiplicative_identity1) ).
cnf(sum_to_multiplicative_identity2,negated_conjecture,
sum(x,z,multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_to_multiplicative_identity2) ).
cnf(product_to_additive_identity1,negated_conjecture,
product(x,y,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_to_additive_identity1) ).
cnf(product_to_additive_identity2,negated_conjecture,
product(x,z,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_to_additive_identity2) ).
cnf(prove_both_inverse_are_equal,negated_conjecture,
y != z,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_both_inverse_are_equal) ).
cnf(19,plain,
~ sum(additive_identity,z,y),
inference('UR-RESOLVE',[status(thm)],[addition_is_well_defined,additive_identity1,prove_both_inverse_are_equal]) ).
cnf(131,plain,
product(multiplicative_identity,add(y,z),y),
inference('HYPERRESOLVE',[status(thm)],[distributivity5,sum_to_multiplicative_identity1,closure_of_addition,product_to_additive_identity2,additive_identity1]) ).
cnf(232,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[distributivity6,19,sum_to_multiplicative_identity2,closure_of_addition,product_to_additive_identity1]),131]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : BOO013-3 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % 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 22:46:42 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 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 2022-06-01T22:46:42
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-01T22:46:42
% 0.18/0.48
% 0.18/0.48 ; Recognized relation function assertion (|sum| ?X ?Y (|add| ?X ?Y)).
% 0.18/0.48 ; Recognized relation function assertion (|product| ?X ?Y (|multiply| ?X ?Y)).
% 0.18/0.48 ; Recognized commutativity assertion (OR (NOT (|sum| ?X ?Y ?Z)) (|sum| ?Y ?X ?Z)).
% 0.18/0.48 ; Recognized commutativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (|product| ?Y ?X ?Z)).
% 0.18/0.48 ; Recognized possible left identity assertion (|sum| |additive_identity| ?X ?X).
% 0.18/0.48 ; Recognized possible right identity assertion (|sum| ?X |additive_identity| ?X).
% 0.18/0.48 ; Recognized possible left identity assertion (|product| |multiplicative_identity| ?X ?X).
% 0.18/0.48 ; Recognized possible right identity assertion (|product| ?X |multiplicative_identity| ?X).
% 0.18/0.48 ; Recognized possible left inverse assertion (|sum| (|inverse| ?X) ?X |multiplicative_identity|).
% 0.18/0.48 ; Recognized possible right inverse assertion (|sum| ?X (|inverse| ?X) |multiplicative_identity|).
% 0.18/0.48 ; Recognized possible left inverse assertion (|product| (|inverse| ?X) ?X |additive_identity|).
% 0.18/0.48 ; Recognized possible right inverse assertion (|product| ?X (|inverse| ?X) |additive_identity|).
% 0.18/0.48 ; Recognized relation functionality assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?X ?Y ?U)) (= ?Z ?U)).
% 0.18/0.48 ; Recognized relation functionality assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?X ?Y ?U)) (= ?Z ?U)).
% 0.18/0.48 ; Declaring sum to be commutative.
% 0.18/0.48 ; Declaring add to be commutative.
% 0.18/0.48 ; Declaring product to be commutative.
% 0.67/0.85 ; Declaring multiply to be commutative.
% 0.67/0.85
% 0.67/0.85 #||
% 0.67/0.85 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.67/0.85 % SZS output start Refutation
% See solution above
% 0.67/0.86 ||#
% 0.67/0.86
% 0.67/0.86 ; Summary of computation:
% 0.67/0.86 ; 8710 formulas have been input or derived (from 20 formulas).
% 0.67/0.86 ; 232 ( 3%) were retained. Of these,
% 0.67/0.86 ; 232 (100%) are still being kept.
% 0.67/0.86 ;
% 0.67/0.86 ; Run time in seconds excluding printing time:
% 0.67/0.86 ; 0.006 2% Read assertion file (1 call)
% 0.67/0.86 ; 0.001 0% Assert (28 calls)
% 0.67/0.86 ; 0.024 6% Process new row (5,689 calls)
% 0.67/0.86 ; 0.210 54% Resolution (38 calls)
% 0.67/0.86 ; 0.001 0% Paramodulation (19 calls)
% 0.67/0.86 ; 0.001 0% Condensing (10 calls)
% 0.67/0.86 ; 0.001 0% Forward subsumption (10 calls)
% 0.67/0.86 ; 0.000 0% Backward subsumption (6 calls)
% 0.67/0.86 ; 0.002 1% Clause clause subsumption (4 calls)
% 0.67/0.86 ; 0.091 23% Forward simplification (5,689 calls)
% 0.67/0.86 ; 0.004 1% Backward simplification (232 calls)
% 0.67/0.86 ; 0.000 0% Ordering (19 calls)
% 0.67/0.86 ; 0.000 0% Sortal reasoning (32 calls)
% 0.67/0.86 ; 0.000 0% Purity testing (1 call)
% 0.67/0.86 ; 0.048 12% Other
% 0.67/0.86 ; 0.389 Total
% 0.67/0.86 ; 0.396 Real time
% 0.67/0.86 ;
% 0.67/0.86 ; Term-hash-array has 382 terms in all.
% 0.67/0.86 ; Feature-vector-row-index has 6 entries (6 at peak, 6 added, 0 deleted).
% 0.67/0.86 ; Feature-vector-row-index has 15 nodes (15 at peak, 15 added, 0 deleted).
% 0.67/0.86 ; Retrieved 4 possibly forward subsuming rows in 10 calls.
% 0.67/0.86 ; Retrieved 0 possibly backward subsumed rows in 6 calls.
% 0.67/0.86 ; Path-index has 387 entries (387 at peak, 387 added, 0 deleted).
% 0.67/0.86 ; Path-index has 242 nodes (242 at peak, 242 added, 0 deleted).
% 0.67/0.86 ; Trie-index has 387 entries (387 at peak, 387 added, 0 deleted).
% 0.67/0.86 ; Trie-index has 1,177 nodes (1,177 at peak, 1,177 added, 0 deleted).
% 0.67/0.86 ; Retrieved 16,082 generalization terms in 18,386 calls.
% 0.67/0.86 ; Retrieved 350 instance terms in 225 calls.
% 0.67/0.86 ; Retrieved 178,259 unifiable terms in 14,715 calls.
% 0.67/0.86 ;
% 0.67/0.86 ; The agenda of rows to process has 40 entries:
% 0.67/0.86 ; 13 with value 10 21 with value 12 4 with value 14
% 0.67/0.86 ; 2 with value 11
% 0.67/0.86 ; The agenda of rows to give has 212 entries:
% 0.67/0.86 ; 3 with value (4 6) 44 with value (4 11) 2 with value (4 15)
% 0.67/0.86 ; 6 with value (4 7) 42 with value (4 12) 10 with value (4 16)
% 0.67/0.86 ; 6 with value (4 8) 8 with value (4 13) 2 with value (4 17)
% 0.67/0.86 ; 46 with value (4 9) 34 with value (4 14) 2 with value (4 19)
% 0.67/0.86 ; 7 with value (4 10)
% 0.67/0.86 Evaluation took:
% 0.67/0.86 0.396 seconds of real time
% 0.67/0.86 0.361042 seconds of user run time
% 0.67/0.86 0.029263 seconds of system run time
% 0.67/0.86 [Run times include 0.006 seconds GC run time.]
% 0.67/0.86 0 calls to %EVAL
% 0.67/0.86 0 page faults and
% 0.67/0.86 23,876,912 bytes consed.
% 0.67/0.86 :PROOF-FOUND
% 0.67/0.86 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-01T22:46:42
% 0.67/0.86 :PROOF-FOUND
% 0.67/0.86 *
%------------------------------------------------------------------------------