TSTP Solution File: BOO010-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : BOO010-1 : TPTP v8.1.0. Released v1.0.0.
% 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 23:48:54 EDT 2022
% Result : Unsatisfiable 0.55s 0.73s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 7
% Syntax : Number of clauses : 10 ( 8 unt; 0 nHn; 5 RR)
% Number of literals : 18 ( 0 equ; 10 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 21 ( 1 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(closure_of_multiplication,axiom,
product(X,Y,multiply(X,Y)),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',closure_of_multiplication) ).
cnf(multiplicative_identity1,axiom,
product(multiplicative_identity,X,X),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',multiplicative_identity1) ).
cnf(distributivity1,axiom,
( ~ product(X,Y,Z)
| ~ product(X,U,V)
| ~ sum(Y,U,W)
| ~ product(X,W,X1)
| sum(Z,V,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',distributivity1) ).
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(additive_inverse1,axiom,
sum(inverse(X),X,multiplicative_identity),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',additive_inverse1) ).
cnf(prove_equations,negated_conjecture,
~ sum(x,multiply(x,y),x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equations) ).
cnf(20,plain,
~ sum(multiplicative_identity,y,multiplicative_identity),
inference('UR-RESOLVE',[status(thm)],[distributivity1,multiplicative_identity1,closure_of_multiplication,multiplicative_identity1,prove_equations]) ).
cnf(67,plain,
product(multiplicative_identity,add(X,multiplicative_identity),multiplicative_identity),
inference('HYPERRESOLVE',[status(thm)],[distributivity5,additive_inverse1,closure_of_addition,multiplicative_identity1,additive_inverse1]) ).
cnf(113,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[distributivity1,20,multiplicative_identity1,multiplicative_identity1,closure_of_addition]),67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : BOO010-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.14 % Command : run-snark %s %d
% 0.14/0.36 % Computer : n024.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Wed Jun 1 19:30:36 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.49 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.50 *
% 0.21/0.50 *
% 0.21/0.50 #<PACKAGE "SNARK-USER">
% 0.21/0.50 *
% 0.21/0.50 SNARK-TPTP-OPTIONS
% 0.21/0.50 *
% 0.21/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.50 (USE-FACTORING :POS)
% 0.21/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.50 *
% 0.21/0.50 "."
% 0.21/0.50 *
% 0.21/0.50 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-01T19:30:36
% 0.21/0.51 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-01T19:30:36
% 0.21/0.52
% 0.21/0.52 ; Recognized relation function assertion (|sum| ?X ?Y (|add| ?X ?Y)).
% 0.21/0.52 ; Recognized relation function assertion (|product| ?X ?Y (|multiply| ?X ?Y)).
% 0.21/0.52 ; Recognized commutativity assertion (OR (NOT (|sum| ?X ?Y ?Z)) (|sum| ?Y ?X ?Z)).
% 0.21/0.52 ; Recognized commutativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (|product| ?Y ?X ?Z)).
% 0.21/0.52 ; Recognized possible left identity assertion (|sum| |additive_identity| ?X ?X).
% 0.21/0.52 ; Recognized possible right identity assertion (|sum| ?X |additive_identity| ?X).
% 0.21/0.52 ; Recognized possible left identity assertion (|product| |multiplicative_identity| ?X ?X).
% 0.21/0.52 ; Recognized possible right identity assertion (|product| ?X |multiplicative_identity| ?X).
% 0.21/0.52 ; Recognized possible left inverse assertion (|sum| (|inverse| ?X) ?X |multiplicative_identity|).
% 0.21/0.52 ; Recognized possible right inverse assertion (|sum| ?X (|inverse| ?X) |multiplicative_identity|).
% 0.21/0.52 ; Recognized possible left inverse assertion (|product| (|inverse| ?X) ?X |additive_identity|).
% 0.21/0.52 ; Recognized possible right inverse assertion (|product| ?X (|inverse| ?X) |additive_identity|).
% 0.21/0.52 ; Recognized relation functionality assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?X ?Y ?U)) (= ?Z ?U)).
% 0.21/0.52 ; Recognized relation functionality assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?X ?Y ?U)) (= ?Z ?U)).
% 0.21/0.52 ; Declaring sum to be commutative.
% 0.21/0.52 ; Declaring add to be commutative.
% 0.21/0.52 ; Declaring product to be commutative.
% 0.55/0.73 ; Declaring multiply to be commutative.
% 0.55/0.73
% 0.55/0.73 #||
% 0.55/0.73 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.55/0.73 % SZS output start Refutation
% See solution above
% 0.55/0.73 ||#
% 0.55/0.73
% 0.55/0.73 ; Summary of computation:
% 0.55/0.73 ; 4552 formulas have been input or derived (from 15 formulas).
% 0.55/0.73 ; 113 ( 2%) were retained. Of these,
% 0.55/0.73 ; 113 (100%) are still being kept.
% 0.55/0.73 ;
% 0.55/0.73 ; Run time in seconds excluding printing time:
% 0.55/0.73 ; 0.006 3% Read assertion file (1 call)
% 0.55/0.73 ; 0.001 0% Assert (23 calls)
% 0.55/0.73 ; 0.024 11% Process new row (3,240 calls)
% 0.55/0.73 ; 0.100 45% Resolution (28 calls)
% 0.55/0.73 ; 0.000 0% Paramodulation (14 calls)
% 0.55/0.73 ; 0.002 1% Condensing (10 calls)
% 0.55/0.73 ; 0.000 0% Forward subsumption (10 calls)
% 0.55/0.73 ; 0.000 0% Backward subsumption (6 calls)
% 0.55/0.73 ; 0.003 1% Clause clause subsumption (4 calls)
% 0.55/0.73 ; 0.052 24% Forward simplification (3,240 calls)
% 0.55/0.73 ; 0.003 1% Backward simplification (113 calls)
% 0.55/0.73 ; 0.000 0% Ordering (8 calls)
% 0.55/0.73 ; 0.000 0% Sortal reasoning (32 calls)
% 0.55/0.73 ; 0.000 0% Purity testing (1 call)
% 0.55/0.73 ; 0.030 14% Other
% 0.55/0.73 ; 0.221 Total
% 0.55/0.73 ; 0.222 Real time
% 0.55/0.73 ;
% 0.55/0.73 ; Term-hash-array has 203 terms in all.
% 0.55/0.73 ; Feature-vector-row-index has 6 entries (6 at peak, 6 added, 0 deleted).
% 0.55/0.73 ; Feature-vector-row-index has 15 nodes (15 at peak, 15 added, 0 deleted).
% 0.55/0.73 ; Retrieved 4 possibly forward subsuming rows in 10 calls.
% 0.55/0.73 ; Retrieved 0 possibly backward subsumed rows in 6 calls.
% 0.55/0.73 ; Path-index has 207 entries (207 at peak, 207 added, 0 deleted).
% 0.55/0.73 ; Path-index has 191 nodes (191 at peak, 191 added, 0 deleted).
% 0.55/0.73 ; Trie-index has 207 entries (207 at peak, 207 added, 0 deleted).
% 0.55/0.73 ; Trie-index has 691 nodes (691 at peak, 691 added, 0 deleted).
% 0.55/0.73 ; Retrieved 9,573 generalization terms in 10,572 calls.
% 0.55/0.73 ; Retrieved 161 instance terms in 106 calls.
% 0.55/0.73 ; Retrieved 71,520 unifiable terms in 7,272 calls.
% 0.55/0.73 ;
% 0.55/0.73 ; The agenda of rows to process has 4 entries:
% 0.55/0.73 ; 2 with value 10 2 with value 12
% 0.55/0.73 ; The agenda of rows to give has 98 entries:
% 0.55/0.73 ; 4 with value (4 7) 9 with value (4 11) 6 with value (4 15)
% 0.55/0.73 ; 3 with value (4 8) 9 with value (4 12) 11 with value (4 16)
% 0.55/0.73 ; 14 with value (4 9) 12 with value (4 13) 4 with value (4 17)
% 0.55/0.73 ; 7 with value (4 10) 17 with value (4 14) 2 with value (4 19)
% 0.55/0.73 Evaluation took:
% 0.55/0.73 0.223 seconds of real time
% 0.55/0.73 0.210651 seconds of user run time
% 0.55/0.73 0.011937 seconds of system run time
% 0.55/0.73 [Run times include 0.005 seconds GC run time.]
% 0.55/0.73 0 calls to %EVAL
% 0.55/0.73 0 page faults and
% 0.55/0.73 13,658,608 bytes consed.
% 0.55/0.73 :PROOF-FOUND
% 0.55/0.73 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-01T19:30:36
% 0.55/0.73 :PROOF-FOUND
% 0.55/0.73 *
%------------------------------------------------------------------------------