TSTP Solution File: DAT088_1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : DAT088_1 : TPTP v8.1.0. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 'CODE-FOR-$$GREATER')
% Comments :
%------------------------------------------------------------------------------
tff(2,axiom,
! [X: $int,Y: list] : ( tail(cons(X,Y)) = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l2) ).
tff(4,axiom,
! [X: $int,Y: list] : ( cons(X,Y) != nil ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l4) ).
tff(9,axiom,
! [X: $int,Y: list,Z: $int,U: list] :
( in(X,Y)
| ( Y != cons(Z,U) )
| ( X != Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',in_conv) ).
tff(31,axiom,
! [X: $int] : ( count(X,nil) = 0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a) ).
tff(37,axiom,
! [X: $int,Y: list] :
( ~ in(X,Y)
| $greater(count(X,Y),0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_8) ).
tff(39,negated_conjecture,
! [X: list,Y: $int] :
( ( X = nil )
| ( count(Y,X) = count(Y,tail(X)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c) ).
tff(52,plain,
! [X: $int,Y: list] : in(X,cons(X,Y)),
inference('HYPERRESOLVE',[status(thm)],[9,theory(equality),theory(equality)]) ).
tff(54,plain,
! [X: $int,Y: $int,Z: list] : ( count(X,cons(Y,Z)) = count(X,Z) ),
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[39,4]),2,theory(equality)]) ).
tff(72,plain,
! [X: $int,Y: list] : $greater(count(X,Y),0),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[37,52]),54,theory(equality)]) ).
cnf(85,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[72,31,theory(equality)]),'CODE-FOR-$$GREATER']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : DAT088_1 : TPTP v8.1.0. Released v6.1.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n018.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 20:35:03 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-07-01T20:35:03
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-07-01T20:35:03
% 0.19/0.54
% 0.19/0.54
% 0.19/0.54 #||
% 0.19/0.54 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.54 % SZS output start Refutation
% See solution above
% 0.19/0.55 ||#
% 0.19/0.55
% 0.19/0.55 ; Summary of computation:
% 0.19/0.55 ; 247 formulas have been input or derived (from 46 formulas).
% 0.19/0.55 ; 85 (34%) were retained. Of these,
% 0.19/0.55 ; 31 (36%) were simplified or subsumed later,
% 0.19/0.55 ; 54 (64%) are still being kept.
% 0.19/0.55 ;
% 0.19/0.55 ; Run time in seconds excluding printing time:
% 0.19/0.55 ; 0.005 7% Read assertion file (1 call)
% 0.19/0.55 ; 0.002 3% Assert (15 calls)
% 0.19/0.55 ; 0.007 10% Process new row (228 calls)
% 0.19/0.55 ; 0.010 15% Resolution (90 calls)
% 0.19/0.55 ; 0.002 3% Paramodulation (45 calls)
% 0.19/0.55 ; 0.000 0% Factoring (9 calls)
% 0.19/0.55 ; 0.001 1% Condensing (65 calls)
% 0.19/0.55 ; 0.002 3% Forward subsumption (65 calls)
% 0.19/0.55 ; 0.001 1% Backward subsumption (56 calls)
% 0.19/0.55 ; 0.000 0% Clause clause subsumption (21 calls)
% 0.19/0.55 ; 0.008 12% Forward simplification (200 calls)
% 0.19/0.55 ; 0.002 3% Backward simplification (84 calls)
% 0.19/0.55 ; 0.004 6% Ordering (647 calls)
% 0.19/0.55 ; 0.001 1% Sortal reasoning (630 calls)
% 0.19/0.55 ; 0.000 0% Purity testing (1 call)
% 0.19/0.55 ; 0.023 34% Other
% 0.19/0.55 ; 0.068 Total
% 0.19/0.55 ; 0.071 Real time
% 0.19/0.55 ;
% 0.19/0.55 ; Term-hash-array has 219 terms in all.
% 0.19/0.55 ; Feature-vector-row-index has 30 entries (38 at peak, 56 added, 26 deleted).
% 0.19/0.55 ; Feature-vector-row-index has 229 nodes (235 at peak, 415 added, 186 deleted).
% 0.19/0.55 ; Retrieved 20 possibly forward subsuming rows in 65 calls.
% 0.19/0.55 ; Retrieved 4 possibly backward subsumed rows in 56 calls.
% 0.19/0.55 ; Path-index has 168 entries (168 at peak, 237 added, 69 deleted).
% 0.19/0.55 ; Path-index has 664 nodes (664 at peak, 781 added, 117 deleted).
% 0.19/0.55 ; Trie-index has 168 entries (168 at peak, 237 added, 69 deleted).
% 0.19/0.55 ; Trie-index has 544 nodes (544 at peak, 774 added, 230 deleted).
% 0.19/0.55 ; Retrieved 700 generalization terms in 921 calls.
% 0.19/0.55 ; Retrieved 63 instance terms in 35 calls.
% 0.19/0.55 ; Retrieved 1,158 unifiable terms in 281 calls.
% 0.19/0.55 ;
% 0.19/0.55 ; The agenda of rows to process has 2 entries:
% 0.19/0.55 ; 1 with value 10 1 with value 14
% 0.19/0.55 ; The agenda of rows to give has 20 entries:
% 0.19/0.55 ; 1 with value (4 11) 1 with value (4 24) 1 with value (4 36)
% 0.19/0.55 ; 5 with value (4 13) 2 with value (4 26) 2 with value (4 40)
% 0.19/0.55 ; 1 with value (4 16) 1 with value (4 27) 1 with value (4 48)
% 0.19/0.55 ; 2 with value (4 17) 1 with value (4 32) 1 with value (4 52)
% 0.19/0.55 ; 1 with value (4 20)
% 0.19/0.55 Evaluation took:
% 0.19/0.55 0.072 seconds of real time
% 0.19/0.55 0.060667 seconds of user run time
% 0.19/0.55 0.010813 seconds of system run time
% 0.19/0.55 0 calls to %EVAL
% 0.19/0.55 0 page faults and
% 0.19/0.55 3,729,696 bytes consed.
% 0.19/0.55 :PROOF-FOUND
% 0.19/0.55 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T20:35:03
% 0.19/0.55 :PROOF-FOUND
% 0.19/0.55 *
%------------------------------------------------------------------------------