TSTP Solution File: DAT047_1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : DAT047_1 : TPTP v8.1.0. Released v5.0.0.
% 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 01:27:21 EDT 2022
% Result : Theorem 0.61s 0.79s
% Output : Refutation 0.61s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 'CODE-FOR-$$SUM')
% Comments :
%------------------------------------------------------------------------------
tff(1,axiom,
! [X: $int] : ~ in(X,empty),
file('/export/starexec/sandbox2/benchmark/Axioms/DAT002=0.ax',ax1) ).
tff(2,axiom,
! [X: $int,Y: collection] : in(X,add(X,Y)),
file('/export/starexec/sandbox2/benchmark/Axioms/DAT002=0.ax',ax2) ).
tff(23,axiom,
! [X: collection] :
( ( X != empty )
| ( count(X) = 0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/DAT002=1.ax',ax2) ).
tff(24,axiom,
! [X: collection] :
( ( X = empty )
| ( count(X) != 0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/DAT002=1.ax',ax2) ).
tff(25,axiom,
! [X: $int,Y: collection] :
( in(X,Y)
| ( count(add(X,Y)) = $sum(count(Y),1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/DAT002=1.ax',ax3) ).
tff(26,plain,
! [X: $int,Y: collection] :
( in(X,Y)
| ( count(add(X,Y)) = $sum(1,count(Y)) ) ),
inference('REWRITE',[status(thm)],[25,'CODE-FOR-$$SUM']) ).
tff(31,axiom,
! [X: $int,Y: collection] :
( ~ in(X,Y)
| ( count(remove(X,Y)) = $difference(count(Y),1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/DAT002=1.ax',ax5) ).
tff(32,plain,
! [X: $int,Y: collection] :
( ~ in(X,Y)
| ( count(remove(X,Y)) = $sum(-1,count(Y)) ) ),
inference('REWRITE',[status(thm)],[31,'CODE-FOR-$$SUM','CODE-FOR-$$PRODUCT','CODE-FOR-$$UMINUS','CODE-FOR-$$DIFFERENCE']) ).
tff(38,negated_conjecture,
count(add(5,remove(3,add(3,empty)))) != 1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(40,plain,
count(empty) = 0,
inference('HYPERRESOLVE',[status(thm)],[23,theory(equality)]) ).
tff(64,plain,
! [X: $int] : ( count(add(X,empty)) = 1 ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[1,26]),'CODE-FOR-$$SUM',40,theory(equality)]) ).
tff(74,plain,
! [X: $int,Y: collection] : ( count(remove(X,add(X,Y))) = $sum(-1,count(add(X,Y))) ),
inference('HYPERRESOLVE',[status(thm)],[32,2]) ).
tff(213,plain,
! [X: $int,Y: collection] :
( ( remove(X,add(X,Y)) = empty )
| ( count(add(X,Y)) != 1 ) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[24,74,theory(equality)]),'CODE-FOR-$$SUM',theory(equality)]) ).
tff(760,plain,
! [X: $int] : ( remove(X,add(X,empty)) = empty ),
inference('HYPERRESOLVE',[status(thm)],[213,64]) ).
cnf(761,plain,
$false,
inference('REWRITE',[status(thm)],[38,64,760,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : DAT047_1 : TPTP v8.1.0. Released v5.0.0.
% 0.07/0.13 % 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 19:57:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 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 2022-07-01T19:57:38
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-07-01T19:57:38
% 0.61/0.79
% 0.61/0.79
% 0.61/0.79 #||
% 0.61/0.79 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/0.79 % SZS output start Refutation
% See solution above
% 0.61/0.79 ||#
% 0.61/0.79
% 0.61/0.79 ; Summary of computation:
% 0.61/0.79 ; 2744 formulas have been input or derived (from 142 formulas).
% 0.61/0.79 ; 761 (28%) were retained. Of these,
% 0.61/0.79 ; 127 (17%) were simplified or subsumed later,
% 0.61/0.79 ; 634 (83%) are still being kept.
% 0.61/0.79 ;
% 0.61/0.79 ; Run time in seconds excluding printing time:
% 0.61/0.79 ; 0.005 2% Read assertion file (1 call)
% 0.61/0.79 ; 0.001 0% Assert (13 calls)
% 0.61/0.79 ; 0.080 26% Process new row (2,406 calls)
% 0.61/0.79 ; 0.040 13% Resolution (282 calls)
% 0.61/0.79 ; 0.009 3% Paramodulation (141 calls)
% 0.61/0.79 ; 0.000 0% Factoring (19 calls)
% 0.61/0.79 ; 0.005 2% Condensing (362 calls)
% 0.61/0.79 ; 0.016 5% Forward subsumption (362 calls)
% 0.61/0.79 ; 0.008 3% Backward subsumption (313 calls)
% 0.61/0.79 ; 0.006 2% Clause clause subsumption (497 calls)
% 0.61/0.79 ; 0.088 28% Forward simplification (2,389 calls)
% 0.61/0.79 ; 0.011 4% Backward simplification (757 calls)
% 0.61/0.79 ; 0.003 1% Ordering (1,239 calls)
% 0.61/0.79 ; 0.001 0% Ordering ac (6 calls)
% 0.61/0.79 ; 0.008 3% Sortal reasoning (7,900 calls)
% 0.61/0.79 ; 0.000 0% Purity testing (1 call)
% 0.61/0.79 ; 0.030 10% Other
% 0.61/0.79 ; 0.311 Total
% 0.61/0.79 ; 0.313 Real time
% 0.61/0.79 ;
% 0.61/0.79 ; Term-hash-array has 2,032 terms in all.
% 0.61/0.79 ; Feature-vector-row-index has 311 entries (313 at peak, 313 added, 2 deleted).
% 0.61/0.79 ; Feature-vector-row-index has 2,273 nodes (2,310 at peak, 2,310 added, 37 deleted).
% 0.61/0.79 ; Retrieved 794 possibly forward subsuming rows in 362 calls.
% 0.61/0.79 ; Retrieved 38 possibly backward subsumed rows in 313 calls.
% 0.61/0.79 ; Path-index has 1,769 entries (1,975 at peak, 2,130 added, 361 deleted).
% 0.61/0.79 ; Path-index has 3,404 nodes (3,708 at peak, 3,810 added, 406 deleted).
% 0.61/0.79 ; Trie-index has 1,769 entries (1,975 at peak, 2,130 added, 361 deleted).
% 0.61/0.79 ; Trie-index has 4,071 nodes (5,070 at peak, 5,398 added, 1,327 deleted).
% 0.61/0.79 ; Retrieved 5,448 generalization terms in 14,346 calls.
% 0.61/0.79 ; Retrieved 493 instance terms in 443 calls.
% 0.61/0.79 ; Retrieved 15,399 unifiable terms in 1,845 calls.
% 0.61/0.79 ;
% 0.61/0.79 ; The agenda of backward simplifiable rows to process has 67 entries:
% 0.61/0.79 ; 67 with value 0
% 0.61/0.79 ; The agenda of rows to process has 16 entries:
% 0.61/0.79 ; 1 with value 17 1 with value 25 1 with value 31
% 0.61/0.79 ; 5 with value 22 2 with value 26 1 with value 32
% 0.61/0.79 ; 4 with value 24 1 with value 28
% 0.61/0.79 ; The agenda of rows to give has 501 entries:
% 0.61/0.79 ; 1 with value (4 13) 27 with value (4 29) 17 with value (4 37)
% 0.61/0.79 ; 1 with value (4 21) 46 with value (4 30) 8 with value (4 38)
% 0.61/0.79 ; 24 with value (4 22) 29 with value (4 31) 18 with value (4 39)
% 0.61/0.79 ; 22 with value (4 23) 71 with value (4 32) 5 with value (4 40)
% 0.61/0.79 ; 18 with value (4 24) 7 with value (4 33) 11 with value (4 41)
% 0.61/0.79 ; 35 with value (4 25) 25 with value (4 34) 4 with value (4 42)
% 0.61/0.79 ; 28 with value (4 26) 17 with value (4 35) 6 with value (4 44)
% 0.61/0.79 ; 24 with value (4 27) 26 with value (4 36) 2 with value (4 45)
% 0.61/0.79 ; 29 with value (4 28)
% 0.61/0.79 Evaluation took:
% 0.61/0.79 0.315 seconds of real time
% 0.61/0.79 0.270347 seconds of user run time
% 0.61/0.79 0.043924 seconds of system run time
% 0.61/0.79 [Run times include 0.011 seconds GC run time.]
% 0.61/0.79 0 calls to %EVAL
% 0.61/0.79 0 page faults and
% 0.61/0.79 19,367,560 bytes consed.
% 0.61/0.79 :PROOF-FOUND
% 0.61/0.79 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-01T19:57:38
% 0.61/0.79 :PROOF-FOUND
% 0.61/0.79 *
%------------------------------------------------------------------------------