TSTP Solution File: BOO012-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : BOO012-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 23:48:55 EDT 2022
% Result : Unsatisfiable 1.52s 1.70s
% Output : Refutation 1.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 8
% Syntax : Number of clauses : 11 ( 8 unt; 0 nHn; 6 RR)
% Number of literals : 21 ( 2 equ; 12 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 24 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(closure_of_addition,axiom,
sum(X,Y,add(X,Y)),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',closure_of_addition) ).
cnf(additive_identity1,axiom,
sum(additive_identity,X,X),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/BOO002-0.ax',distributivity6) ).
cnf(additive_inverse1,axiom,
sum(inverse(X),X,multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',additive_inverse1) ).
cnf(multiplicative_inverse1,axiom,
product(inverse(X),X,additive_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',multiplicative_inverse1) ).
cnf(addition_is_well_defined,axiom,
( ~ sum(X,Y,Z)
| ~ sum(X,Y,U)
| Z = U ),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',addition_is_well_defined) ).
cnf(prove_inverse_is_an_involution,negated_conjecture,
inverse(inverse(x)) != x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_inverse_is_an_involution) ).
cnf(36,plain,
~ sum(additive_identity,x,inverse(inverse(x))),
inference('UR-RESOLVE',[status(thm)],[addition_is_well_defined,additive_identity1,prove_inverse_is_an_involution]) ).
cnf(106,plain,
product(multiplicative_identity,add(X,inverse(inverse(X))),inverse(inverse(X))),
inference('HYPERRESOLVE',[status(thm)],[distributivity5,additive_inverse1,closure_of_addition,multiplicative_inverse1,additive_identity1]) ).
cnf(141,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[distributivity6,36,closure_of_addition,additive_inverse1,multiplicative_inverse1]),106]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : BOO012-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.08/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Wed Jun 1 16:22:46 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 0.21/0.49 #<PACKAGE "SNARK-USER">
% 0.21/0.49 *
% 0.21/0.49 SNARK-TPTP-OPTIONS
% 0.21/0.49 *
% 0.21/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49 (USE-FACTORING :POS)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49 *
% 0.21/0.49 "."
% 0.21/0.49 *
% 0.21/0.49 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-01T16:22:46
% 0.21/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-01T16:22:46
% 0.21/0.51
% 0.21/0.51 ; Recognized relation function assertion (|sum| ?X ?Y (|add| ?X ?Y)).
% 0.21/0.51 ; Recognized relation function assertion (|product| ?X ?Y (|multiply| ?X ?Y)).
% 0.21/0.51 ; Recognized commutativity assertion (OR (NOT (|sum| ?X ?Y ?Z)) (|sum| ?Y ?X ?Z)).
% 0.21/0.51 ; Recognized commutativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (|product| ?Y ?X ?Z)).
% 0.21/0.51 ; Recognized possible left identity assertion (|sum| |additive_identity| ?X ?X).
% 0.21/0.51 ; Recognized possible right identity assertion (|sum| ?X |additive_identity| ?X).
% 0.21/0.51 ; Recognized possible left identity assertion (|product| |multiplicative_identity| ?X ?X).
% 0.21/0.51 ; Recognized possible right identity assertion (|product| ?X |multiplicative_identity| ?X).
% 0.21/0.51 ; Recognized possible left inverse assertion (|sum| (|inverse| ?X) ?X |multiplicative_identity|).
% 0.21/0.51 ; Recognized possible right inverse assertion (|sum| ?X (|inverse| ?X) |multiplicative_identity|).
% 0.21/0.51 ; Recognized possible left inverse assertion (|product| (|inverse| ?X) ?X |additive_identity|).
% 0.21/0.51 ; Recognized possible right inverse assertion (|product| ?X (|inverse| ?X) |additive_identity|).
% 0.21/0.51 ; Recognized relation functionality assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?X ?Y ?U)) (= ?Z ?U)).
% 0.21/0.51 ; Recognized relation functionality assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?X ?Y ?U)) (= ?Z ?U)).
% 0.21/0.51 ; Recognized possible associativity assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?Y ?U ?V)) (NOT (|sum| ?X ?V ?W)) (|sum| ?Z ?U ?W)).
% 0.21/0.51 ; Recognized possible associativity assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?Y ?U ?V)) (|sum| ?Z ?U ?W) (NOT (|sum| ?X ?V ?W))).
% 0.21/0.51 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?X ?V ?W)) (|product| ?Z ?U ?W)).
% 0.21/0.51 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (|product| ?Z ?U ?W) (NOT (|product| ?X ?V ?W))).
% 0.21/0.51 ; Declaring sum to be commutative.
% 0.21/0.51 ; Declaring add to be commutative.
% 0.21/0.51 ; Declaring add to be associative-commutative.
% 0.21/0.51 ; Declaring product to be commutative.
% 0.21/0.51 ; Declaring multiply to be commutative.
% 1.52/1.70 ; Declaring multiply to be associative-commutative.
% 1.52/1.70
% 1.52/1.70 #||
% 1.52/1.70 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.52/1.70 % SZS output start Refutation
% See solution above
% 1.52/1.70 ||#
% 1.52/1.70
% 1.52/1.70 ; Summary of computation:
% 1.52/1.70 ; 39350 formulas have been input or derived (from 39 formulas).
% 1.52/1.70 ; 141 ( 0%) were retained. Of these,
% 1.52/1.70 ; 141 (100%) are still being kept.
% 1.52/1.70 ;
% 1.52/1.70 ; Run time in seconds excluding printing time:
% 1.52/1.70 ; 0.007 1% Read assertion file (1 call)
% 1.52/1.70 ; 0.002 0% Assert (35 calls)
% 1.52/1.70 ; 0.070 6% Process new row (28,710 calls)
% 1.52/1.70 ; 0.603 50% Resolution (76 calls)
% 1.52/1.70 ; 0.006 0% Paramodulation (38 calls)
% 1.52/1.70 ; 0.000 0% Embedding (10 calls)
% 1.52/1.70 ; 0.004 0% Condensing (14 calls)
% 1.52/1.70 ; 0.000 0% Forward subsumption (14 calls)
% 1.52/1.70 ; 0.000 0% Backward subsumption (10 calls)
% 1.52/1.70 ; 0.001 0% Clause clause subsumption (8 calls)
% 1.52/1.70 ; 0.409 34% Forward simplification (28,702 calls)
% 1.52/1.70 ; 0.003 0% Backward simplification (133 calls)
% 1.52/1.70 ; 0.000 0% Ordering (128 calls)
% 1.52/1.70 ; 0.000 0% Ordering ac (45 calls)
% 1.52/1.70 ; 0.001 0% Sortal reasoning (32 calls)
% 1.52/1.70 ; 0.000 0% Purity testing (1 call)
% 1.52/1.70 ; 0.102 8% Other
% 1.52/1.70 ; 1.208 Total
% 1.52/1.70 ; 1.210 Real time
% 1.52/1.70 ;
% 1.52/1.70 ; Term-hash-array has 241 terms in all.
% 1.52/1.70 ; Feature-vector-row-index has 10 entries (10 at peak, 10 added, 0 deleted).
% 1.52/1.70 ; Feature-vector-row-index has 21 nodes (21 at peak, 21 added, 0 deleted).
% 1.52/1.70 ; Retrieved 4 possibly forward subsuming rows in 14 calls.
% 1.52/1.70 ; Retrieved 4 possibly backward subsumed rows in 10 calls.
% 1.52/1.70 ; Path-index has 244 entries (244 at peak, 244 added, 0 deleted).
% 1.52/1.70 ; Path-index has 255 nodes (255 at peak, 255 added, 0 deleted).
% 1.52/1.70 ; Trie-index has 244 entries (244 at peak, 244 added, 0 deleted).
% 1.52/1.70 ; Trie-index has 215 nodes (215 at peak, 215 added, 0 deleted).
% 1.52/1.70 ; Retrieved 236,702 generalization terms in 86,043 calls.
% 1.52/1.70 ; Retrieved 214 instance terms in 122 calls.
% 1.52/1.70 ; Retrieved 596,261 unifiable terms in 48,301 calls.
% 1.52/1.70 ;
% 1.52/1.70 ; The agenda of rows to process has 24 entries:
% 1.52/1.70 ; 3 with value 16 8 with value 18 2 with value 20
% 1.52/1.70 ; 9 with value 17 2 with value 19
% 1.52/1.70 ; The agenda of rows to give has 102 entries:
% 1.52/1.70 ; 9 with value (4 10) 11 with value (4 15) 2 with value (4 21)
% 1.52/1.70 ; 11 with value (4 11) 15 with value (4 16) 2 with value (4 22)
% 1.52/1.70 ; 5 with value (4 12) 6 with value (4 17) 2 with value (4 23)
% 1.52/1.70 ; 11 with value (4 13) 6 with value (4 18) 2 with value (4 24)
% 1.52/1.70 ; 13 with value (4 14) 7 with value (4 19)
% 1.52/1.70 Evaluation took:
% 1.52/1.70 1.21 seconds of real time
% 1.52/1.70 1.098622 seconds of user run time
% 1.52/1.70 0.111092 seconds of system run time
% 1.52/1.70 [Run times include 0.053 seconds GC run time.]
% 1.52/1.70 0 calls to %EVAL
% 1.52/1.70 0 page faults and
% 1.52/1.70 109,496,800 bytes consed.
% 1.52/1.70 :PROOF-FOUND
% 1.52/1.70 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-01T16:22:47
% 1.52/1.70 :PROOF-FOUND
% 1.52/1.70 *
%------------------------------------------------------------------------------