TSTP Solution File: DAT087_1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : DAT087_1 : TPTP v8.1.0. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 01:27:34 EDT 2022
% Result : Theorem 0.19s 0.58s
% Output : Refutation 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 'CODE-FOR-$$SUM')
% Comments :
%------------------------------------------------------------------------------
tff(31,axiom,
! [X: $int] : ( count(X,nil) = 0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a) ).
tff(33,axiom,
! [X: $int,Y: $int,Z: list] :
( ( count(X,cons(Y,Z)) = $sum(count(X,Z),1) )
| ( X != Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_4) ).
tff(34,plain,
! [X: $int,Y: $int,Z: list] :
( ( count(X,cons(Y,Z)) = $sum(1,count(X,Z)) )
| ( X != Y ) ),
inference('REWRITE',[status(thm)],[33,'CODE-FOR-$$SUM']) ).
tff(39,negated_conjecture,
! [X: $int,Y: list] : ( count(X,Y) = count(X,cons(1,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c) ).
tff(66,plain,
! [X: $int,Y: list] : ( count(X,cons(X,Y)) = $sum(1,count(X,Y)) ),
inference('HYPERRESOLVE',[status(thm)],[34,theory(equality)]) ).
tff(135,plain,
! [X: list] : ( count(1,X) = $sum(1,count(1,X)) ),
inference('PARAMODULATE',[status(thm)],[39,66,theory(equality)]) ).
cnf(140,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[135,31,theory(equality)]),'CODE-FOR-$$SUM',theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : DAT087_1 : TPTP v8.1.0. Released v6.1.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n023.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 Jul 1 19:48:13 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-07-01T19:48:14
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-07-01T19:48:14
% 0.19/0.58
% 0.19/0.58
% 0.19/0.58 #||
% 0.19/0.58 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.58 % SZS output start Refutation
% See solution above
% 0.19/0.58 ||#
% 0.19/0.58
% 0.19/0.58 ; Summary of computation:
% 0.19/0.58 ; 582 formulas have been input or derived (from 61 formulas).
% 0.19/0.58 ; 140 (24%) were retained. Of these,
% 0.19/0.58 ; 20 (14%) were simplified or subsumed later,
% 0.19/0.58 ; 120 (86%) are still being kept.
% 0.19/0.58 ;
% 0.19/0.58 ; Run time in seconds:
% 0.19/0.58 ; 0.005 4% Read assertion file (1 call)
% 0.19/0.58 ; 0.002 2% Assert (15 calls)
% 0.19/0.58 ; 0.018 16% Process new row (505 calls)
% 0.19/0.58 ; 0.014 12% Resolution (120 calls)
% 0.19/0.58 ; 0.002 2% Paramodulation (60 calls)
% 0.19/0.58 ; 0.000 0% Factoring (10 calls)
% 0.19/0.58 ; 0.005 4% Condensing (122 calls)
% 0.19/0.58 ; 0.005 4% Forward subsumption (122 calls)
% 0.19/0.58 ; 0.000 0% Backward subsumption (87 calls)
% 0.19/0.58 ; 0.001 1% Clause clause subsumption (77 calls)
% 0.19/0.58 ; 0.019 17% Forward simplification (450 calls)
% 0.19/0.58 ; 0.004 4% Backward simplification (139 calls)
% 0.19/0.58 ; 0.008 7% Ordering (1,732 calls)
% 0.19/0.58 ; 0.002 2% Sortal reasoning (1,559 calls)
% 0.19/0.58 ; 0.000 0% Purity testing (1 call)
% 0.19/0.58 ; 0.027 24% Other
% 0.19/0.58 ; 0.112 Total
% 0.19/0.58 ; 0.113 Real time
% 0.19/0.58 ;
% 0.19/0.58 ; Term-hash-array has 318 terms in all.
% 0.19/0.58 ; Feature-vector-row-index has 76 entries (76 at peak, 87 added, 11 deleted).
% 0.19/0.58 ; Feature-vector-row-index has 560 nodes (560 at peak, 651 added, 91 deleted).
% 0.19/0.58 ; Retrieved 89 possibly forward subsuming rows in 122 calls.
% 0.19/0.58 ; Retrieved 2 possibly backward subsumed rows in 87 calls.
% 0.19/0.58 ; Path-index has 277 entries (277 at peak, 334 added, 57 deleted).
% 0.19/0.58 ; Path-index has 1,272 nodes (1,272 at peak, 1,370 added, 98 deleted).
% 0.19/0.58 ; Trie-index has 277 entries (277 at peak, 334 added, 57 deleted).
% 0.19/0.58 ; Trie-index has 1,051 nodes (1,051 at peak, 1,246 added, 195 deleted).
% 0.19/0.58 ; Retrieved 2,096 generalization terms in 2,477 calls.
% 0.19/0.58 ; Retrieved 115 instance terms in 63 calls.
% 0.19/0.58 ; Retrieved 2,704 unifiable terms in 491 calls.
% 0.19/0.58 ;
% 0.19/0.58 ; The agenda of rows to process has 21 entries:
% 0.19/0.58 ; 1 with value 13 2 with value 19 1 with value 27
% 0.19/0.58 ; 1 with value 15 4 with value 20 1 with value 29
% 0.19/0.58 ; 1 with value 16 4 with value 21 1 with value 40
% 0.19/0.58 ; 1 with value 17 1 with value 22 1 with value 46
% 0.19/0.58 ; 1 with value 18 1 with value 23
% 0.19/0.58 ; The agenda of rows to give has 63 entries:
% 0.19/0.58 ; 1 with value (4 14) 3 with value (4 23) 2 with value (4 35)
% 0.19/0.58 ; 2 with value (4 15) 1 with value (4 25) 1 with value (4 39)
% 0.19/0.58 ; 4 with value (4 16) 2 with value (4 26) 1 with value (4 43)
% 0.19/0.58 ; 9 with value (4 17) 3 with value (4 27) 2 with value (4 45)
% 0.19/0.58 ; 3 with value (4 18) 1 with value (4 28) 1 with value (4 46)
% 0.19/0.58 ; 5 with value (4 19) 3 with value (4 29) 2 with value (4 53)
% 0.19/0.58 ; 4 with value (4 20) 3 with value (4 31) 1 with value (4 61)
% 0.19/0.58 ; 3 with value (4 21) 1 with value (4 33) 1 with value (4 73)
% 0.19/0.58 ; 2 with value (4 22) 2 with value (4 34)
% 0.19/0.58 Evaluation took:
% 0.19/0.58 0.113 seconds of real time
% 0.19/0.58 0.098807 seconds of user run time
% 0.19/0.58 0.013933 seconds of system run time
% 0.19/0.58 0 calls to %EVAL
% 0.19/0.58 0 page faults and
% 0.19/0.58 5,060,928 bytes consed.
% 0.19/0.58 :PROOF-FOUND
% 0.19/0.58 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T19:48:14
% 0.19/0.58 :PROOF-FOUND
% 0.19/0.58 *
%------------------------------------------------------------------------------