TSTP Solution File: DAT044_1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : DAT044_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n015.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 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 'CODE-FOR-$$$LESS')
% Comments :
%------------------------------------------------------------------------------
cnf('$$GREATER-IS-IRREFLEXIVE',axiom,
~ $greater(X,X) ).
tff('SOLVE-$$GREATER-BY-$$$LESS',axiom,
! [X: 'NUMBER',Y: 'NUMBER'] :
( $greater(X,Y)
| ~ '$$$LESS'(Y,X) ) ).
tff(25,axiom,
! [X: $int,Y: collection] :
( in(X,Y)
| ( count(add(X,Y)) = $sum(count(Y),1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/DAT002=1.ax',ax3) ).
tff(26,plain,
! [X: $int,Y: collection] :
( in(X,Y)
| ( count(add(X,Y)) = $sum(1,count(Y)) ) ),
inference('REWRITE',[status(thm)],[25,'CODE-FOR-$$SUM']) ).
tff(38,negated_conjecture,
! [X: $int] :
( ~ in(X,'SKOLEMAAAV1.collection')
| $greater('SKOLEMAAAV2.$int',X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(39,negated_conjecture,
~ $greater(count(add('SKOLEMAAAV2.$int','SKOLEMAAAV1.collection')),count('SKOLEMAAAV1.collection')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(41,plain,
~ in('SKOLEMAAAV2.$int','SKOLEMAAAV1.collection'),
inference('UR-RESOLVE',[status(thm)],[38,'$$GREATER-IS-IRREFLEXIVE']) ).
tff(43,plain,
~ '$$$LESS'(0,$sum(count(add('SKOLEMAAAV2.$int','SKOLEMAAAV1.collection')),$product(-1,count('SKOLEMAAAV1.collection')))),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[39,'SOLVE-$$GREATER-BY-$$$LESS']),'CODE-FOR-$$$LESS','CODE-FOR-$$SUM','CODE-FOR-$$PRODUCT']) ).
tff(81,plain,
count(add('SKOLEMAAAV2.$int','SKOLEMAAAV1.collection')) = $sum(1,count('SKOLEMAAAV1.collection')),
inference('HYPERRESOLVE',[status(thm)],[41,26]) ).
cnf(83,plain,
$false,
inference('REWRITE',[status(thm)],[43,'CODE-FOR-$$$LESS','CODE-FOR-$$SUM',81,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : DAT044_1 : TPTP v8.1.0. Released v5.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n015.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 19:05:43 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T19:05:43
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-07-01T19:05:43
% 0.20/0.52
% 0.20/0.52
% 0.20/0.52 #||
% 0.20/0.52 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.52 % SZS output start Refutation
% See solution above
% 0.20/0.53 ||#
% 0.20/0.53
% 0.20/0.53 ; Summary of computation:
% 0.20/0.53 ; 122 formulas have been input or derived (from 37 formulas).
% 0.20/0.53 ; 83 (68%) were retained. Of these,
% 0.20/0.53 ; 10 (12%) were simplified or subsumed later,
% 0.20/0.53 ; 73 (88%) are still being kept.
% 0.20/0.53 ;
% 0.20/0.53 ; Run time in seconds excluding printing time:
% 0.20/0.53 ; 0.005 11% Read assertion file (1 call)
% 0.20/0.53 ; 0.001 2% Assert (13 calls)
% 0.20/0.53 ; 0.004 9% Process new row (101 calls)
% 0.20/0.53 ; 0.004 9% Resolution (72 calls)
% 0.20/0.53 ; 0.000 0% Paramodulation (36 calls)
% 0.20/0.53 ; 0.000 0% Factoring (6 calls)
% 0.20/0.53 ; 0.001 2% Condensing (43 calls)
% 0.20/0.53 ; 0.001 2% Forward subsumption (43 calls)
% 0.20/0.53 ; 0.001 2% Backward subsumption (43 calls)
% 0.20/0.53 ; 0.000 0% Clause clause subsumption (10 calls)
% 0.20/0.53 ; 0.001 2% Forward simplification (101 calls)
% 0.20/0.53 ; 0.003 6% Backward simplification (79 calls)
% 0.20/0.53 ; 0.000 0% Ordering (72 calls)
% 0.20/0.53 ; 0.000 0% Ordering ac (4 calls)
% 0.20/0.53 ; 0.001 2% Sortal reasoning (133 calls)
% 0.20/0.53 ; 0.000 0% Purity testing (1 call)
% 0.20/0.53 ; 0.025 53% Other
% 0.20/0.53 ; 0.047 Total
% 0.20/0.53 ; 0.048 Real time
% 0.20/0.53 ;
% 0.20/0.53 ; Term-hash-array has 125 terms in all.
% 0.20/0.53 ; Feature-vector-row-index has 43 entries (43 at peak, 43 added, 0 deleted).
% 0.20/0.53 ; Feature-vector-row-index has 180 nodes (180 at peak, 180 added, 0 deleted).
% 0.20/0.53 ; Retrieved 24 possibly forward subsuming rows in 43 calls.
% 0.20/0.53 ; Retrieved 1 possibly backward subsumed row in 43 calls.
% 0.20/0.53 ; Path-index has 123 entries (127 at peak, 134 added, 11 deleted).
% 0.20/0.53 ; Path-index has 269 nodes (279 at peak, 287 added, 18 deleted).
% 0.20/0.53 ; Trie-index has 123 entries (127 at peak, 134 added, 11 deleted).
% 0.20/0.53 ; Trie-index has 206 nodes (214 at peak, 225 added, 19 deleted).
% 0.20/0.53 ; Retrieved 59 generalization terms in 225 calls.
% 0.20/0.53 ; Retrieved 37 instance terms in 35 calls.
% 0.20/0.53 ; Retrieved 669 unifiable terms in 174 calls.
% 0.20/0.53 ;
% 0.20/0.53 ; The agenda of backward simplifiable rows to process has 1 entry:
% 0.20/0.53 ; 1 with value 0
% 0.20/0.53 ; The agenda of rows to process has 2 entries:
% 0.20/0.53 ; 2 with value 14
% 0.20/0.53 ; The agenda of input rows to give has 1 entry:
% 0.20/0.53 ; 1 with value 10
% 0.20/0.53 ; The agenda of rows to give has 36 entries:
% 0.20/0.53 ; 2 with value (4 7) 1 with value (4 14) 2 with value (4 21)
% 0.20/0.53 ; 1 with value (4 8) 2 with value (4 15) 2 with value (4 22)
% 0.20/0.53 ; 1 with value (4 9) 7 with value (4 16) 3 with value (4 23)
% 0.20/0.53 ; 2 with value (4 10) 1 with value (4 17) 2 with value (4 24)
% 0.20/0.53 ; 2 with value (4 11) 3 with value (4 18) 1 with value (4 25)
% 0.20/0.53 ; 1 with value (4 12) 2 with value (4 20) 1 with value (4 26)
% 0.20/0.53 Evaluation took:
% 0.20/0.53 0.049 seconds of real time
% 0.20/0.53 0.042159 seconds of user run time
% 0.20/0.53 0.007032 seconds of system run time
% 0.20/0.53 0 calls to %EVAL
% 0.20/0.53 0 page faults and
% 0.20/0.53 2,816,744 bytes consed.
% 0.20/0.53 :PROOF-FOUND
% 0.20/0.53 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T19:05:43
% 0.20/0.53 :PROOF-FOUND
% 0.20/0.53 *
%------------------------------------------------------------------------------