TSTP Solution File: DAT091_1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : DAT091_1 : TPTP v8.1.0. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n008.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 : Sat Jul 16 01:27:35 EDT 2022
% Result : Theorem 0.20s 0.56s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of formulae : 7 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 22 ( 9 equ)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 6 ( 3 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 12 ( 12 fml; 0 var)
% Number arithmetic : 11 ( 0 atm; 0 fun; 2 num; 9 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 1 ( 0 usr; 1 con; 0-0 aty)
% Number of variables : 15 ( 0 sgn 15 !; 0 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
tff(4,axiom,
! [X: $int,Y: list] : ( cons(X,Y) != nil ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l4) ).
tff(31,axiom,
! [X: $int] : ( count(X,nil) = 0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a) ).
tff(32,axiom,
! [X: $int,Y: $int,Z: list] :
( ( count(X,cons(Y,Z)) = count(X,Z) )
| ( X = Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_3) ).
tff(39,negated_conjecture,
! [X: list,Y: list,Z: $int] :
( ( X = Y )
| ( count(Z,X) != count(Z,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c) ).
tff(43,plain,
! [X: $int,Y: $int,Z: list] : ( count(X,cons(Y,Z)) != 0 ),
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[39,4]),31,theory(equality)]) ).
tff(56,plain,
! [X: $int,Y: $int,Z: list] :
( ( X = Y )
| ( cons(Y,Z) = Z ) ),
inference('HYPERRESOLVE',[status(thm)],[39,32]) ).
cnf(99,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[56,43,4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : DAT091_1 : TPTP v8.1.0. Released v6.1.0.
% 0.08/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jul 1 20:30:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T20:30:53
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-07-01T20:30:53
% 0.20/0.56
% 0.20/0.56
% 0.20/0.56 #||
% 0.20/0.56 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.56 % SZS output start Refutation
% See solution above
% 0.20/0.56 ||#
% 0.20/0.56
% 0.20/0.56 ; Summary of computation:
% 0.20/0.56 ; 363 formulas have been input or derived (from 50 formulas).
% 0.20/0.56 ; 99 (27%) were retained. Of these,
% 0.20/0.56 ; 9 ( 9%) were simplified or subsumed later,
% 0.20/0.56 ; 90 (91%) are still being kept.
% 0.20/0.56 ;
% 0.20/0.56 ; Run time in seconds excluding printing time:
% 0.20/0.56 ; 0.005 6% Read assertion file (1 call)
% 0.20/0.56 ; 0.002 3% Assert (15 calls)
% 0.20/0.56 ; 0.011 14% Process new row (263 calls)
% 0.20/0.56 ; 0.006 8% Resolution (98 calls)
% 0.20/0.56 ; 0.003 4% Paramodulation (49 calls)
% 0.20/0.56 ; 0.000 0% Factoring (9 calls)
% 0.20/0.56 ; 0.003 4% Condensing (75 calls)
% 0.20/0.56 ; 0.003 4% Forward subsumption (75 calls)
% 0.20/0.56 ; 0.001 1% Backward subsumption (63 calls)
% 0.20/0.56 ; 0.003 4% Clause clause subsumption (35 calls)
% 0.20/0.56 ; 0.005 6% Forward simplification (247 calls)
% 0.20/0.56 ; 0.002 3% Backward simplification (98 calls)
% 0.20/0.56 ; 0.006 8% Ordering (808 calls)
% 0.20/0.56 ; 0.004 5% Sortal reasoning (995 calls)
% 0.20/0.56 ; 0.000 0% Purity testing (1 call)
% 0.20/0.56 ; 0.025 32% Other
% 0.20/0.56 ; 0.079 Total
% 0.20/0.56 ; 0.081 Real time
% 0.20/0.56 ;
% 0.20/0.56 ; Term-hash-array has 219 terms in all.
% 0.20/0.56 ; Feature-vector-row-index has 58 entries (58 at peak, 63 added, 5 deleted).
% 0.20/0.56 ; Feature-vector-row-index has 353 nodes (353 at peak, 389 added, 36 deleted).
% 0.20/0.56 ; Retrieved 36 possibly forward subsuming rows in 75 calls.
% 0.20/0.56 ; Retrieved 3 possibly backward subsumed rows in 63 calls.
% 0.20/0.56 ; Path-index has 209 entries (209 at peak, 226 added, 17 deleted).
% 0.20/0.56 ; Path-index has 835 nodes (839 at peak, 880 added, 45 deleted).
% 0.20/0.56 ; Trie-index has 209 entries (209 at peak, 226 added, 17 deleted).
% 0.20/0.56 ; Trie-index has 683 nodes (690 at peak, 757 added, 74 deleted).
% 0.20/0.56 ; Retrieved 845 generalization terms in 1,142 calls.
% 0.20/0.56 ; Retrieved 63 instance terms in 42 calls.
% 0.20/0.56 ; Retrieved 1,997 unifiable terms in 360 calls.
% 0.20/0.56 ;
% 0.20/0.56 ; The agenda of rows to process has 72 entries:
% 0.20/0.56 ; 2 with value 6 6 with value 16 9 with value 23
% 0.20/0.56 ; 2 with value 9 6 with value 17 3 with value 24
% 0.20/0.56 ; 3 with value 10 5 with value 18 1 with value 26
% 0.20/0.56 ; 4 with value 12 6 with value 19 1 with value 27
% 0.20/0.56 ; 7 with value 13 5 with value 20 1 with value 28
% 0.20/0.56 ; 2 with value 14 4 with value 21 2 with value 34
% 0.20/0.56 ; 3 with value 15
% 0.20/0.56 ; The agenda of rows to give has 43 entries:
% 0.20/0.56 ; 3 with value (4 12) 3 with value (4 20) 2 with value (4 27)
% 0.20/0.56 ; 4 with value (4 13) 2 with value (4 21) 1 with value (4 29)
% 0.20/0.56 ; 1 with value (4 14) 2 with value (4 22) 3 with value (4 31)
% 0.20/0.56 ; 3 with value (4 15) 5 with value (4 23) 2 with value (4 34)
% 0.20/0.56 ; 1 with value (4 16) 1 with value (4 24) 1 with value (4 39)
% 0.20/0.56 ; 2 with value (4 17) 3 with value (4 26) 1 with value (4 46)
% 0.20/0.56 ; 3 with value (4 19)
% 0.20/0.56 Evaluation took:
% 0.20/0.56 0.082 seconds of real time
% 0.20/0.56 0.071111 seconds of user run time
% 0.20/0.56 0.010138 seconds of system run time
% 0.20/0.56 0 calls to %EVAL
% 0.20/0.56 0 page faults and
% 0.20/0.56 3,676,808 bytes consed.
% 0.20/0.56 :PROOF-FOUND
% 0.20/0.56 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T20:30:53
% 0.20/0.56 :PROOF-FOUND
% 0.20/0.56 *
%------------------------------------------------------------------------------