TSTP Solution File: ITP209_1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ITP209_1 : TPTP v8.1.0. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 : Sun Jul 17 00:34:07 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 4
% Syntax : Number of formulae : 5 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 53 ( 4 equ)
% Maximal formula atoms : 1 ( 10 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 48 ( 48 fml; 0 var)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 8 ( 0 sgn 8 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
tff(2,axiom,
! [X: a,Y: a] : ( aa_a_a(aa_a_fun_a_a(f,X),Y) = aa_a_a(aa_a_fun_a_a(f,Y),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_commute) ).
tff(3,axiom,
! [X: a,Y: a,Z: a] : ( aa_a_a(aa_a_fun_a_a(f,X),aa_a_a(aa_a_fun_a_a(f,Y),Z)) = aa_a_a(aa_a_fun_a_a(f,Y),aa_a_a(aa_a_fun_a_a(f,X),Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_left__commute) ).
tff(4,axiom,
! [X: a,Y: a,Z: a] : ( aa_a_a(aa_a_fun_a_a(f,aa_a_a(aa_a_fun_a_a(f,X),Y)),Z) = aa_a_a(aa_a_fun_a_a(f,X),aa_a_a(aa_a_fun_a_a(f,Y),Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_right__assoc) ).
tff(12,negated_conjecture,
aa_a_a(aa_a_fun_a_a(f,aa_a_a(aa_a_fun_a_a(f,a2),b)),c) != aa_a_a(aa_a_fun_a_a(f,aa_a_a(aa_a_fun_a_a(f,a2),c)),b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
cnf(13,plain,
$false,
inference('REWRITE',[status(thm)],[12,2,3,4,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ITP209_1 : TPTP v8.1.0. Released v8.0.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jun 3 07:32:15 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-03T07:32:15
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-03T07:32:15
% 0.19/0.50
% 0.19/0.50
% 0.19/0.50 #||
% 0.19/0.50 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.50 % SZS output start Refutation
% See solution above
% 0.19/0.50 ||#
% 0.19/0.50
% 0.19/0.50 ; Summary of computation:
% 0.19/0.50 ; 16 formulas have been input or derived (from 1 formulas).
% 0.19/0.50 ; 13 (81%) were retained. Of these,
% 0.19/0.50 ; 1 ( 8%) were simplified or subsumed later,
% 0.19/0.50 ; 12 (92%) are still being kept.
% 0.19/0.50 ;
% 0.19/0.50 ; Run time in seconds excluding printing time:
% 0.19/0.50 ; 0.006 18% Read assertion file (1 call)
% 0.19/0.50 ; 0.001 3% Assert (13 calls)
% 0.19/0.50 ; 0.001 3% Process new row (15 calls)
% 0.19/0.50 ; 0.000 0% Condensing (8 calls)
% 0.19/0.50 ; 0.000 0% Forward subsumption (8 calls)
% 0.19/0.50 ; 0.000 0% Backward subsumption (5 calls)
% 0.19/0.50 ; 0.001 3% Clause clause subsumption (6 calls)
% 0.19/0.50 ; 0.001 3% Forward simplification (15 calls)
% 0.19/0.50 ; 0.000 0% Backward simplification (12 calls)
% 0.19/0.50 ; 0.001 3% Ordering (41 calls)
% 0.19/0.50 ; 0.000 0% Sortal reasoning (36 calls)
% 0.19/0.50 ; 0.000 0% Purity testing (1 call)
% 0.19/0.50 ; 0.022 67% Other
% 0.19/0.50 ; 0.033 Total
% 0.19/0.50 ; 0.034 Real time
% 0.19/0.50 ;
% 0.19/0.50 ; Term-hash-array has 66 terms in all.
% 0.19/0.50 ; Feature-vector-row-index has 5 entries (5 at peak, 5 added, 0 deleted).
% 0.19/0.50 ; Feature-vector-row-index has 63 nodes (63 at peak, 63 added, 0 deleted).
% 0.19/0.50 ; Retrieved 8 possibly forward subsuming rows in 8 calls.
% 0.19/0.50 ; Retrieved 1 possibly backward subsumed row in 5 calls.
% 0.19/0.50 ; Path-index has 72 entries (72 at peak, 72 added, 0 deleted).
% 0.19/0.50 ; Path-index has 222 nodes (222 at peak, 222 added, 0 deleted).
% 0.19/0.50 ; Trie-index has 72 entries (72 at peak, 72 added, 0 deleted).
% 0.19/0.50 ; Trie-index has 289 nodes (289 at peak, 289 added, 0 deleted).
% 0.19/0.50 ; Retrieved 26 generalization terms in 74 calls.
% 0.19/0.50 ; Retrieved 13 instance terms in 10 calls.
% 0.19/0.50 ;
% 0.19/0.50 ; The agenda of input rows to give has 11 entries:
% 0.19/0.50 ; 3 with value 3 1 with value 23 1 with value 27
% 0.19/0.50 ; 1 with value 14 1 with value 24 2 with value 53
% 0.19/0.50 ; 1 with value 17 1 with value 26
% 0.19/0.50 Evaluation took:
% 0.19/0.50 0.034 seconds of real time
% 0.19/0.50 0.029985 seconds of user run time
% 0.19/0.50 0.004865 seconds of system run time
% 0.19/0.50 0 calls to %EVAL
% 0.19/0.50 0 page faults and
% 0.19/0.50 2,058,912 bytes consed.
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-03T07:32:15
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 *
%------------------------------------------------------------------------------