TSTP Solution File: DAT046_1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : DAT046_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 0.63s 0.84s
% Output : Refutation 0.63s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 'CODE-FOR-$$SUM')
% Comments :
%------------------------------------------------------------------------------
tff(1,axiom,
! [X: $int] : ~ in(X,empty),
file('/export/starexec/sandbox2/benchmark/Axioms/DAT002=0.ax',ax1) ).
tff(2,axiom,
! [X: $int,Y: collection] : in(X,add(X,Y)),
file('/export/starexec/sandbox2/benchmark/Axioms/DAT002=0.ax',ax2) ).
tff(7,axiom,
! [X: $int,Y: collection,Z: $int] :
( ~ in(X,Y)
| ( X = Z )
| in(X,remove(Z,Y)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/DAT002=0.ax',ax5) ).
tff(23,axiom,
! [X: collection] :
( ( X != empty )
| ( count(X) = 0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/DAT002=1.ax',ax2) ).
tff(24,axiom,
! [X: collection] :
( ( X = empty )
| ( count(X) != 0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/DAT002=1.ax',ax2) ).
tff(25,axiom,
! [X: $int,Y: collection] :
( in(X,Y)
| ( count(add(X,Y)) = $sum(count(Y),1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/DAT002=1.ax',ax3) ).
tff(26,plain,
! [X: $int,Y: collection] :
( in(X,Y)
| ( count(add(X,Y)) = $sum(1,count(Y)) ) ),
inference('REWRITE',[status(thm)],[25,'CODE-FOR-$$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(35,axiom,
! [X: $int,Y: collection] :
( in(X,Y)
| ( count(remove(X,Y)) = count(Y) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/DAT002=1.ax',ax6) ).
tff(36,axiom,
! [X: $int,Y: collection] :
( ~ in(X,Y)
| ( count(remove(X,Y)) != count(Y) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/DAT002=1.ax',ax6) ).
tff(38,negated_conjecture,
count(add(1,add(3,empty))) != 2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(40,plain,
count(empty) = 0,
inference('HYPERRESOLVE',[status(thm)],[23,theory(equality)]) ).
tff(62,plain,
! [X: $int,Y: collection,Z: $int] :
( ( count(remove(X,Y)) = count(Y) )
| ( X = Z )
| in(X,remove(Z,Y)) ),
inference('HYPERRESOLVE',[status(thm)],[7,35]) ).
tff(64,plain,
! [X: $int] : ( count(add(X,empty)) = 1 ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[1,26]),'CODE-FOR-$$SUM',40,theory(equality)]) ).
tff(74,plain,
! [X: $int,Y: collection] : ( count(remove(X,add(X,Y))) = $sum(-1,count(add(X,Y))) ),
inference('HYPERRESOLVE',[status(thm)],[32,2]) ).
tff(86,plain,
! [X: $int,Y: $int] :
( ~ in(X,add(Y,empty))
| ( count(remove(X,add(Y,empty))) != 1 ) ),
inference('PARAMODULATE',[status(thm)],[36,64,theory(equality)]) ).
tff(230,plain,
! [X: $int,Y: collection] :
( ( remove(X,add(X,Y)) = empty )
| ( count(add(X,Y)) != 1 ) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[24,74,theory(equality)]),'CODE-FOR-$$SUM',theory(equality)]) ).
tff(789,plain,
! [X: $int] : ( remove(X,add(X,empty)) = empty ),
inference('HYPERRESOLVE',[status(thm)],[230,64]) ).
tff(828,plain,
! [X: $int,Y: $int] :
( ( count(remove(X,add(Y,empty))) = 1 )
| ( X = Y ) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[62,789,theory(equality)]),1,64,theory(equality)]) ).
tff(841,plain,
! [X: $int,Y: $int] :
( ( X = Y )
| ( count(add(X,add(Y,empty))) = 2 ) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[86,828,26]),'CODE-FOR-$$SUM',64,theory(equality)]) ).
cnf(857,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[38,841]),theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : DAT046_1 : TPTP v8.1.0. Released v5.0.0.
% 0.10/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n021.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Fri Jul 1 18:00:44 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-01T18:00:44
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-07-01T18:00:44
% 0.63/0.84
% 0.63/0.84
% 0.63/0.84 #||
% 0.63/0.84 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.63/0.84 % SZS output start Refutation
% See solution above
% 0.63/0.84 ||#
% 0.63/0.84
% 0.63/0.84 ; Summary of computation:
% 0.63/0.84 ; 3363 formulas have been input or derived (from 158 formulas).
% 0.63/0.84 ; 857 (25%) were retained. Of these,
% 0.63/0.84 ; 66 ( 8%) were simplified or subsumed later,
% 0.63/0.84 ; 791 (92%) are still being kept.
% 0.63/0.84 ;
% 0.63/0.84 ; Run time in seconds excluding printing time:
% 0.63/0.84 ; 0.005 1% Read assertion file (1 call)
% 0.63/0.84 ; 0.001 0% Assert (13 calls)
% 0.63/0.84 ; 0.096 26% Process new row (2,971 calls)
% 0.63/0.84 ; 0.040 11% Resolution (314 calls)
% 0.63/0.84 ; 0.019 5% Paramodulation (157 calls)
% 0.63/0.84 ; 0.000 0% Factoring (23 calls)
% 0.63/0.84 ; 0.009 2% Condensing (424 calls)
% 0.63/0.84 ; 0.030 8% Forward subsumption (424 calls)
% 0.63/0.84 ; 0.009 2% Backward subsumption (355 calls)
% 0.63/0.84 ; 0.004 1% Clause clause subsumption (594 calls)
% 0.63/0.84 ; 0.087 24% Forward simplification (2,954 calls)
% 0.63/0.84 ; 0.010 3% Backward simplification (853 calls)
% 0.63/0.84 ; 0.011 3% Ordering (1,571 calls)
% 0.63/0.84 ; 0.000 0% Ordering ac (6 calls)
% 0.63/0.84 ; 0.009 2% Sortal reasoning (9,803 calls)
% 0.63/0.84 ; 0.000 0% Purity testing (1 call)
% 0.63/0.84 ; 0.034 9% Other
% 0.63/0.84 ; 0.364 Total
% 0.63/0.84 ; 0.367 Real time
% 0.63/0.84 ;
% 0.63/0.84 ; Term-hash-array has 2,283 terms in all.
% 0.63/0.84 ; Feature-vector-row-index has 355 entries (355 at peak, 355 added, 0 deleted).
% 0.63/0.84 ; Feature-vector-row-index has 3,086 nodes (3,086 at peak, 3,086 added, 0 deleted).
% 0.63/0.84 ; Retrieved 940 possibly forward subsuming rows in 424 calls.
% 0.63/0.84 ; Retrieved 31 possibly backward subsumed rows in 355 calls.
% 0.63/0.84 ; Path-index has 2,218 entries (2,218 at peak, 2,399 added, 181 deleted).
% 0.63/0.84 ; Path-index has 3,860 nodes (3,860 at peak, 3,981 added, 121 deleted).
% 0.63/0.84 ; Trie-index has 2,218 entries (2,218 at peak, 2,399 added, 181 deleted).
% 0.63/0.84 ; Trie-index has 5,859 nodes (5,859 at peak, 6,264 added, 405 deleted).
% 0.63/0.84 ; Retrieved 6,929 generalization terms in 18,315 calls.
% 0.63/0.84 ; Retrieved 546 instance terms in 497 calls.
% 0.63/0.84 ; Retrieved 19,239 unifiable terms in 2,136 calls.
% 0.63/0.84 ;
% 0.63/0.84 ; The agenda of rows to process has 89 entries:
% 0.63/0.84 ; 2 with value 10 5 with value 22 4 with value 31
% 0.63/0.84 ; 7 with value 14 6 with value 23 2 with value 32
% 0.63/0.84 ; 4 with value 15 3 with value 24 2 with value 34
% 0.63/0.84 ; 1 with value 16 3 with value 25 2 with value 35
% 0.63/0.84 ; 4 with value 17 2 with value 26 1 with value 36
% 0.63/0.84 ; 1 with value 18 5 with value 27 2 with value 37
% 0.63/0.84 ; 6 with value 19 5 with value 28 1 with value 38
% 0.63/0.84 ; 8 with value 20 7 with value 29 2 with value 40
% 0.63/0.84 ; 2 with value 21 1 with value 30 1 with value 43
% 0.63/0.84 ; The agenda of rows to give has 635 entries:
% 0.63/0.84 ; 27 with value (4 22) 58 with value (4 30) 9 with value (4 38)
% 0.63/0.84 ; 26 with value (4 23) 34 with value (4 31) 27 with value (4 39)
% 0.63/0.84 ; 27 with value (4 24) 74 with value (4 32) 5 with value (4 40)
% 0.63/0.84 ; 50 with value (4 25) 19 with value (4 33) 15 with value (4 41)
% 0.63/0.84 ; 34 with value (4 26) 33 with value (4 34) 14 with value (4 42)
% 0.63/0.84 ; 32 with value (4 27) 19 with value (4 35) 9 with value (4 44)
% 0.63/0.84 ; 34 with value (4 28) 33 with value (4 36) 2 with value (4 45)
% 0.63/0.84 ; 36 with value (4 29) 18 with value (4 37)
% 0.63/0.84 Evaluation took:
% 0.63/0.84 0.368 seconds of real time
% 0.63/0.84 0.31684 seconds of user run time
% 0.63/0.84 0.051082 seconds of system run time
% 0.63/0.84 [Run times include 0.011 seconds GC run time.]
% 0.63/0.84 0 calls to %EVAL
% 0.63/0.84 0 page faults and
% 0.63/0.84 22,949,520 bytes consed.
% 0.63/0.84 :PROOF-FOUND
% 0.63/0.84 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-01T18:00:44
% 0.63/0.84 :PROOF-FOUND
% 0.63/0.84 *
%------------------------------------------------------------------------------