TSTP Solution File: NUN134-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUN134-1 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 : Mon Jul 18 16:38:25 EDT 2022
% Result : Unsatisfiable 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 10 ( 10 unt; 0 nHn; 5 RR)
% Number of literals : 10 ( 9 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(plus_s,axiom,
'+'(s(X),Y) = s('+'(X,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus_s) ).
cnf(times_s,axiom,
times(s(X),Y) = '+'(Y,times(X,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',times_s) ).
cnf(sum_s,axiom,
sum(s(X)) = '+'(s(X),sum(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_s) ).
cnf(13,plain,
sum(s(X)) = s('+'(X,sum(X))),
inference('REWRITE',[status(thm)],[sum_s,plus_s,theory(equality)]) ).
cnf(induction_hypothesis,axiom,
'+'(sum(a),sum(a)) = times(a,s(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',induction_hypothesis) ).
cnf(15,plain,
'+'(sum(a),sum(a)) = '+'(a,times(a,a)),
inference('REWRITE',[status(thm)],[induction_hypothesis,times_s,theory(equality)]) ).
cnf(goal,negated_conjecture,
'+'(sum(s(a)),sum(s(a))) != times(s(a),s(s(a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
cnf(18,plain,
'+'(sum(s(a)),sum(s(a))) != s(s('+'(a,'+'(a,'+'(sum(a),sum(a)))))),
inference('REWRITE',[status(thm)],[goal,plus_s,15,times_s,theory(equality)]) ).
cnf(22,plain,
'+'(sum(s(X)),Y) = s('+'(X,'+'(sum(X),Y))),
inference('PARAMODULATE',[status(thm)],[plus_s,13,theory(equality)]) ).
cnf(23,plain,
$false,
inference('REWRITE',[status(thm)],[18,22,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUN134-1 : TPTP v8.1.0. Released v8.1.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n020.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 : Thu Jun 2 04:31:53 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 2022-06-02T04:31:53
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-02T04:31:53
% 0.18/0.47
% 0.18/0.47 ; Recognized commutativity assertion (= (+ ?X ?Y) (+ ?Y ?X)).
% 0.18/0.47 ; Recognized associativity assertion (= (+ ?X (+ ?Y ?Z)) (+ (+ ?X ?Y) ?Z)).
% 0.18/0.47 ; Recognized commutativity assertion (= (|times| ?X ?Y) (|times| ?Y ?X)).
% 0.18/0.47 ; Recognized associativity assertion (= (|times| ?X (|times| ?Y ?Z)) (|times| (|times| ?X ?Y) ?Z)).
% 0.18/0.47 ; Recognized right identity assertion (= (+ ?X |zero|) ?X).
% 0.18/0.47 ; Recognized right identity assertion (= (|times| ?X |one|) ?X).
% 0.18/0.47 ; Declaring + to be commutative.
% 0.18/0.47 ; Declaring + to be associative-commutative.
% 0.18/0.47 ; Declaring times to be commutative.
% 0.18/0.50 ; Declaring times to be associative-commutative.
% 0.18/0.50
% 0.18/0.50 #||
% 0.18/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.50 % SZS output start Refutation
% See solution above
% 0.18/0.50 ||#
% 0.18/0.50
% 0.18/0.50 ; Summary of computation:
% 0.18/0.50 ; 137 formulas have been input or derived (from 11 formulas).
% 0.18/0.50 ; 23 (17%) were retained. Of these,
% 0.18/0.50 ; 4 (17%) were simplified or subsumed later,
% 0.18/0.50 ; 19 (83%) are still being kept.
% 0.18/0.50 ;
% 0.18/0.50 ; Run time in seconds excluding printing time:
% 0.18/0.50 ; 0.003 7% Read assertion file (1 call)
% 0.18/0.50 ; 0.000 0% Assert (15 calls)
% 0.18/0.50 ; 0.002 5% Process new row (125 calls)
% 0.18/0.50 ; 0.000 0% Resolution (20 calls)
% 0.18/0.50 ; 0.004 9% Paramodulation (10 calls)
% 0.18/0.50 ; 0.000 0% Embedding (9 calls)
% 0.18/0.50 ; 0.010 23% Forward simplification (119 calls)
% 0.18/0.50 ; 0.000 0% Backward simplification (14 calls)
% 0.18/0.50 ; 0.000 0% Ordering (97 calls)
% 0.18/0.50 ; 0.000 0% Ordering ac (55 calls)
% 0.18/0.50 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.50 ; 0.000 0% Purity testing (1 call)
% 0.18/0.50 ; 0.024 56% Other
% 0.18/0.50 ; 0.043 Total
% 0.18/0.50 ; 0.045 Real time
% 0.18/0.50 ;
% 0.18/0.50 ; Term-hash-array has 65 terms in all.
% 0.18/0.50 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.18/0.50 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.18/0.50 ; Path-index has 61 entries (68 at peak, 68 added, 7 deleted).
% 0.18/0.50 ; Path-index has 93 nodes (103 at peak, 103 added, 10 deleted).
% 0.18/0.50 ; Trie-index has 61 entries (68 at peak, 68 added, 7 deleted).
% 0.18/0.50 ; Trie-index has 39 nodes (45 at peak, 45 added, 6 deleted).
% 0.18/0.50 ; Retrieved 3,104 generalization terms in 1,353 calls.
% 0.18/0.50 ; Retrieved 15 instance terms in 13 calls.
% 0.18/0.50 ; Retrieved 120 unifiable terms in 48 calls.
% 0.18/0.50 ;
% 0.18/0.50 ; The agenda of rows to process has 8 entries:
% 0.18/0.50 ; 2 with value 19 1 with value 26 1 with value 31
% 0.18/0.50 ; 1 with value 20 1 with value 27 1 with value 33
% 0.18/0.50 ; 1 with value 25
% 0.18/0.50 ; The agenda of input rows to give has 4 entries:
% 0.18/0.50 ; 2 with value 14 2 with value 16
% 0.18/0.50 ; The agenda of rows to give has 4 entries:
% 0.18/0.50 ; 2 with value (4 9) 1 with value (4 10) 1 with value (4 18)
% 0.18/0.50 Evaluation took:
% 0.18/0.50 0.045 seconds of real time
% 0.18/0.50 0.039631 seconds of user run time
% 0.18/0.50 0.005141 seconds of system run time
% 0.18/0.50 0 calls to %EVAL
% 0.18/0.50 0 page faults and
% 0.18/0.50 2,796,128 bytes consed.
% 0.18/0.50 :PROOF-FOUND
% 0.18/0.50 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-02T04:31:53
% 0.18/0.50 :PROOF-FOUND
% 0.18/0.50 *
%------------------------------------------------------------------------------