%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : DAT041_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 01:27:20 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 'CODE-FOR-$$SUM')
% Comments :
%------------------------------------------------------------------------------
tff(1,axiom,
! [X: $int] : ~ in(X,empty),
file('/export/starexec/sandbox2/benchmark/Axioms/DAT002=0.ax',ax1) ).
tff(2,axiom,
! [X: $int,Y: collection] : in(X,add(X,Y)),
file('/export/starexec/sandbox2/benchmark/Axioms/DAT002=0.ax',ax2) ).
tff(23,axiom,
! [X: collection] :
( ( X != empty )
| ( count(X) = 0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/DAT002=1.ax',ax2) ).
tff(25,axiom,
! [X: $int,Y: collection] :
( in(X,Y)
| ( count(add(X,Y)) = $sum(count(Y),1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/DAT002=1.ax',ax3) ).
tff(26,plain,
! [X: $int,Y: collection] :
( in(X,Y)
| ( count(add(X,Y)) = $sum(1,count(Y)) ) ),
inference('REWRITE',[status(thm)],[25,'CODE-FOR-$$SUM']) ).
tff(29,axiom,
! [X: $int,Y: collection] :
( ~ in(X,Y)
| ( count(add(X,Y)) = count(Y) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/DAT002=1.ax',ax4) ).
tff(38,negated_conjecture,
! [X: collection,Y: $int] : ~ $greater($sum(count(X),1),count(add(Y,X))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(39,plain,
! [X: collection,Y: $int] : ~ $greater($sum(1,count(X)),count(add(Y,X))),
inference('REWRITE',[status(thm)],[38,'CODE-FOR-$$SUM']) ).
tff(41,plain,
count(empty) = 0,
inference('HYPERRESOLVE',[status(thm)],[23,theory(equality)]) ).
tff(46,plain,
! [X: $int,Y: collection] : ( count(add(X,add(X,Y))) = count(add(X,Y)) ),
inference('HYPERRESOLVE',[status(thm)],[29,2]) ).
tff(60,plain,
! [X: $int] : ( count(add(X,empty)) = 1 ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[1,26]),'CODE-FOR-$$SUM',41,theory(equality)]) ).
tff(80,plain,
! [X: $int,Y: $int] : ~ $greater(2,count(add(X,add(Y,empty)))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[39,60,theory(equality)]),'CODE-FOR-$$SUM']) ).
cnf(111,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[80,46,theory(equality)]),'CODE-FOR-$$GREATER',60,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : DAT041_1 : TPTP v8.1.0. Released v5.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n026.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 18:23:34 EDT 2022
% 0.13/0.34 % 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 2022-07-01T18:23:35
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-07-01T18:23:35
% 0.19/0.53
% 0.19/0.53
% 0.19/0.53 #||
% 0.19/0.53 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.53 % SZS output start Refutation
% See solution above
% 0.19/0.53 ||#
% 0.19/0.53
% 0.19/0.53 ; Summary of computation:
% 0.19/0.53 ; 287 formulas have been input or derived (from 49 formulas).
% 0.19/0.53 ; 111 (39%) were retained. Of these,
% 0.19/0.53 ; 18 (16%) were simplified or subsumed later,
% 0.19/0.53 ; 93 (84%) are still being kept.
% 0.19/0.53 ;
% 0.19/0.53 ; Run time in seconds excluding printing time:
% 0.19/0.53 ; 0.005 8% Read assertion file (1 call)
% 0.19/0.53 ; 0.001 2% Assert (13 calls)
% 0.19/0.53 ; 0.008 13% Process new row (236 calls)
% 0.19/0.53 ; 0.004 7% Resolution (96 calls)
% 0.19/0.53 ; 0.003 5% Paramodulation (48 calls)
% 0.19/0.53 ; 0.000 0% Factoring (7 calls)
% 0.19/0.53 ; 0.001 2% Condensing (51 calls)
% 0.19/0.53 ; 0.000 0% Forward subsumption (51 calls)
% 0.19/0.53 ; 0.002 3% Backward subsumption (51 calls)
% 0.19/0.53 ; 0.001 2% Clause clause subsumption (15 calls)
% 0.19/0.53 ; 0.007 11% Forward simplification (218 calls)
% 0.19/0.53 ; 0.003 5% Backward simplification (106 calls)
% 0.19/0.53 ; 0.000 0% Ordering (166 calls)
% 0.19/0.53 ; 0.000 0% Ordering ac (4 calls)
% 0.19/0.53 ; 0.000 0% Sortal reasoning (409 calls)
% 0.19/0.53 ; 0.000 0% Purity testing (1 call)
% 0.19/0.53 ; 0.026 43% Other
% 0.19/0.53 ; 0.061 Total
% 0.19/0.53 ; 0.063 Real time
% 0.19/0.53 ;
% 0.19/0.53 ; Term-hash-array has 213 terms in all.
% 0.19/0.53 ; Feature-vector-row-index has 51 entries (51 at peak, 51 added, 0 deleted).
% 0.19/0.53 ; Feature-vector-row-index has 231 nodes (231 at peak, 231 added, 0 deleted).
% 0.19/0.53 ; Retrieved 37 possibly forward subsuming rows in 51 calls.
% 0.19/0.53 ; Retrieved 2 possibly backward subsumed rows in 51 calls.
% 0.19/0.53 ; Path-index has 197 entries (198 at peak, 222 added, 25 deleted).
% 0.19/0.53 ; Path-index has 580 nodes (580 at peak, 594 added, 14 deleted).
% 0.19/0.53 ; Trie-index has 197 entries (198 at peak, 222 added, 25 deleted).
% 0.19/0.53 ; Trie-index has 400 nodes (408 at peak, 451 added, 51 deleted).
% 0.19/0.53 ; Retrieved 324 generalization terms in 746 calls.
% 0.19/0.53 ; Retrieved 58 instance terms in 54 calls.
% 0.19/0.53 ; Retrieved 1,263 unifiable terms in 307 calls.
% 0.19/0.53 ;
% 0.19/0.53 ; The agenda of rows to process has 22 entries:
% 0.19/0.53 ; 1 with value 13 3 with value 20 3 with value 30
% 0.19/0.53 ; 1 with value 14 2 with value 21 3 with value 32
% 0.19/0.53 ; 2 with value 17 1 with value 22 1 with value 33
% 0.19/0.53 ; 3 with value 19 1 with value 24 1 with value 35
% 0.19/0.53 ; The agenda of rows to give has 46 entries:
% 0.19/0.53 ; 6 with value (4 16) 6 with value (4 21) 1 with value (4 25)
% 0.19/0.53 ; 1 with value (4 17) 5 with value (4 22) 3 with value (4 26)
% 0.19/0.53 ; 3 with value (4 18) 5 with value (4 23) 4 with value (4 28)
% 0.19/0.53 ; 4 with value (4 19) 4 with value (4 24) 2 with value (4 30)
% 0.19/0.53 ; 2 with value (4 20)
% 0.19/0.53 Evaluation took:
% 0.19/0.53 0.064 seconds of real time
% 0.19/0.53 0.058848 seconds of user run time
% 0.19/0.53 0.005128 seconds of system run time
% 0.19/0.53 0 calls to %EVAL
% 0.19/0.53 0 page faults and
% 0.19/0.53 3,721,912 bytes consed.
% 0.19/0.53 :PROOF-FOUND
% 0.19/0.53 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-01T18:23:35
% 0.19/0.53 :PROOF-FOUND
% 0.19/0.53 *
%------------------------------------------------------------------------------