TSTP Solution File: BOO003-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : BOO003-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n032.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 23:48:51 EDT 2022
% Result : Unsatisfiable 0.17s 0.54s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 8
% Syntax : Number of clauses : 10 ( 8 unt; 0 nHn; 4 RR)
% Number of literals : 18 ( 0 equ; 9 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 21 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(closure_of_multiplication,axiom,
product(X,Y,multiply(X,Y)),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',closure_of_multiplication) ).
cnf(additive_identity1,axiom,
sum(additive_identity,X,X),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',additive_identity1) ).
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(multiplicative_inverse1,axiom,
product(inverse(X),X,additive_identity),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',multiplicative_inverse1) ).
cnf(prove_both_equalities,negated_conjecture,
~ product(x,x,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_both_equalities) ).
cnf(20,plain,
sum(additive_identity,multiply(X,X),X),
inference('HYPERRESOLVE',[status(thm)],[distributivity1,multiplicative_inverse1,closure_of_multiplication,additive_inverse1,multiplicative_identity1]) ).
cnf(67,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[distributivity5,additive_identity1,additive_identity1,closure_of_multiplication,prove_both_equalities]),20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : BOO003-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.12/0.32 % Computer : n032.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Thu Jun 2 00:02:15 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.17/0.42 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.42 *
% 0.17/0.42 *
% 0.17/0.43 #<PACKAGE "SNARK-USER">
% 0.17/0.43 *
% 0.17/0.43 SNARK-TPTP-OPTIONS
% 0.17/0.43 *
% 0.17/0.43 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.17/0.43 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.17/0.43 (USE-FACTORING :POS)
% 0.17/0.43 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.17/0.43 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.17/0.43 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.17/0.43 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.17/0.43 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.17/0.43 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.17/0.43 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.17/0.43 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.17/0.43 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.17/0.43 (DECLARE-TPTP-SYMBOLS2))
% 0.17/0.43 *
% 0.17/0.43 "."
% 0.17/0.43 *
% 0.17/0.43 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-02T00:02:15
% 0.17/0.43 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-02T00:02:15
% 0.17/0.44
% 0.17/0.44 ; Recognized relation function assertion (|sum| ?X ?Y (|add| ?X ?Y)).
% 0.17/0.44 ; Recognized relation function assertion (|product| ?X ?Y (|multiply| ?X ?Y)).
% 0.17/0.44 ; Recognized commutativity assertion (OR (NOT (|sum| ?X ?Y ?Z)) (|sum| ?Y ?X ?Z)).
% 0.17/0.44 ; Recognized commutativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (|product| ?Y ?X ?Z)).
% 0.17/0.44 ; Recognized possible left identity assertion (|sum| |additive_identity| ?X ?X).
% 0.17/0.44 ; Recognized possible right identity assertion (|sum| ?X |additive_identity| ?X).
% 0.17/0.44 ; Recognized possible left identity assertion (|product| |multiplicative_identity| ?X ?X).
% 0.17/0.44 ; Recognized possible right identity assertion (|product| ?X |multiplicative_identity| ?X).
% 0.17/0.44 ; Recognized possible left inverse assertion (|sum| (|inverse| ?X) ?X |multiplicative_identity|).
% 0.17/0.44 ; Recognized possible right inverse assertion (|sum| ?X (|inverse| ?X) |multiplicative_identity|).
% 0.17/0.44 ; Recognized possible left inverse assertion (|product| (|inverse| ?X) ?X |additive_identity|).
% 0.17/0.44 ; Recognized possible right inverse assertion (|product| ?X (|inverse| ?X) |additive_identity|).
% 0.17/0.44 ; Recognized relation functionality assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?X ?Y ?U)) (= ?Z ?U)).
% 0.17/0.44 ; Recognized relation functionality assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?X ?Y ?U)) (= ?Z ?U)).
% 0.17/0.44 ; Declaring sum to be commutative.
% 0.17/0.44 ; Declaring add to be commutative.
% 0.17/0.44 ; Declaring product to be commutative.
% 0.17/0.54 ; Declaring multiply to be commutative.
% 0.17/0.54
% 0.17/0.54 #||
% 0.17/0.54 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.54 % SZS output start Refutation
% See solution above
% 0.17/0.54 ||#
% 0.17/0.54
% 0.17/0.54 ; Summary of computation:
% 0.17/0.54 ; 3450 formulas have been input or derived (from 13 formulas).
% 0.17/0.54 ; 67 ( 2%) were retained. Of these,
% 0.17/0.54 ; 1 ( 1%) were simplified or subsumed later,
% 0.17/0.54 ; 66 (99%) are still being kept.
% 0.17/0.54 ;
% 0.17/0.54 ; Run time in seconds excluding printing time:
% 0.17/0.54 ; 0.003 3% Read assertion file (1 call)
% 0.17/0.54 ; 0.001 1% Assert (23 calls)
% 0.17/0.54 ; 0.007 7% Process new row (1,727 calls)
% 0.17/0.54 ; 0.050 47% Resolution (24 calls)
% 0.17/0.54 ; 0.000 0% Paramodulation (12 calls)
% 0.17/0.54 ; 0.002 2% Condensing (10 calls)
% 0.17/0.54 ; 0.000 0% Forward subsumption (10 calls)
% 0.17/0.54 ; 0.000 0% Backward subsumption (6 calls)
% 0.17/0.54 ; 0.000 0% Clause clause subsumption (4 calls)
% 0.17/0.54 ; 0.019 18% Forward simplification (1,727 calls)
% 0.17/0.54 ; 0.000 0% Backward simplification (67 calls)
% 0.17/0.54 ; 0.000 0% Ordering (8 calls)
% 0.17/0.54 ; 0.000 0% Sortal reasoning (32 calls)
% 0.17/0.54 ; 0.000 0% Purity testing (1 call)
% 0.17/0.54 ; 0.024 23% Other
% 0.17/0.54 ; 0.106 Total
% 0.17/0.54 ; 0.107 Real time
% 0.17/0.54 ;
% 0.17/0.54 ; Term-hash-array has 124 terms in all.
% 0.17/0.54 ; Feature-vector-row-index has 6 entries (6 at peak, 6 added, 0 deleted).
% 0.17/0.54 ; Feature-vector-row-index has 15 nodes (15 at peak, 15 added, 0 deleted).
% 0.17/0.54 ; Retrieved 4 possibly forward subsuming rows in 10 calls.
% 0.17/0.54 ; Retrieved 0 possibly backward subsumed rows in 6 calls.
% 0.17/0.54 ; Path-index has 125 entries (125 at peak, 127 added, 2 deleted).
% 0.17/0.54 ; Path-index has 142 nodes (143 at peak, 144 added, 2 deleted).
% 0.17/0.54 ; Trie-index has 125 entries (125 at peak, 127 added, 2 deleted).
% 0.17/0.54 ; Trie-index has 391 nodes (391 at peak, 395 added, 4 deleted).
% 0.17/0.54 ; Retrieved 4,808 generalization terms in 5,449 calls.
% 0.17/0.54 ; Retrieved 78 instance terms in 60 calls.
% 0.17/0.54 ; Retrieved 43,881 unifiable terms in 5,393 calls.
% 0.17/0.54 ;
% 0.17/0.54 ; The agenda of rows to process has 829 entries:
% 0.17/0.54 ; 36 with value 9 147 with value 13 91 with value 16
% 0.17/0.54 ; 32 with value 10 130 with value 14 32 with value 17
% 0.17/0.54 ; 196 with value 11 96 with value 15 1 with value 19
% 0.17/0.54 ; 68 with value 12
% 0.17/0.54 ; The agenda of input rows to give has 1 entry:
% 0.17/0.54 ; 1 with value 25
% 0.17/0.54 ; The agenda of rows to give has 52 entries:
% 0.17/0.54 ; 2 with value (4 6) 5 with value (4 11) 3 with value (4 15)
% 0.17/0.54 ; 2 with value (4 7) 4 with value (4 12) 5 with value (4 16)
% 0.17/0.54 ; 2 with value (4 8) 6 with value (4 13) 2 with value (4 17)
% 0.17/0.54 ; 8 with value (4 9) 8 with value (4 14) 1 with value (4 19)
% 0.17/0.54 ; 4 with value (4 10)
% 0.17/0.54 Evaluation took:
% 0.17/0.54 0.107 seconds of real time
% 0.17/0.54 0.094236 seconds of user run time
% 0.17/0.54 0.013123 seconds of system run time
% 0.17/0.54 0 calls to %EVAL
% 0.17/0.54 0 page faults and
% 0.17/0.54 9,065,496 bytes consed.
% 0.17/0.54 :PROOF-FOUND
% 0.17/0.54 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-02T00:02:15
% 0.17/0.54 :PROOF-FOUND
% 0.17/0.54 *
%------------------------------------------------------------------------------