TSTP Solution File: ANA140_1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ANA140_1 : TPTP v8.2.0. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n005.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 : 300s
% DateTime : Mon May 22 15:23:14 EDT 2023
% Result : Theorem 0.10s 0.35s
% Output : Refutation 0.10s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 'CODE-FOR-$$PRODUCT')
% Comments :
%------------------------------------------------------------------------------
tff('SOLVE-$$GREATEREQ-BY-$$$LESS',axiom,
! [X: 'NUMBER',Y: 'NUMBER'] :
( $greatereq(X,Y)
| '$$$LESS'(X,Y) ) ).
tff('SOLVE-~$$GREATEREQ-BY-$$$LESS',axiom,
! [X: 'NUMBER',Y: 'NUMBER'] :
( ~ $greatereq(X,Y)
| ~ '$$$LESS'(X,Y) ) ).
tff(13,negated_conjecture,
$less(0,'SKOLEMAAAL1.$real'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_1) ).
tff(15,negated_conjecture,
! [X: $real] :
( ~ $less(0,X)
| ~ $greatereq($difference('SKOLEMAAAL2.$real'(X),a),0)
| $less($difference('SKOLEMAAAL2.$real'(X),a),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_1) ).
tff(16,plain,
! [X: $real] :
( ~ $less(0,X)
| ~ $greatereq($sum('SKOLEMAAAL2.$real'(X),$product(-1,a)),0)
| $less($sum('SKOLEMAAAL2.$real'(X),$product(-1,a)),X) ),
inference('REWRITE',[status(thm)],[15,'CODE-FOR-$$UMINUS','CODE-FOR-$$DIFFERENCE']) ).
tff(17,negated_conjecture,
! [X: $real] :
( ~ $less(0,X)
| $greatereq($difference('SKOLEMAAAL2.$real'(X),a),0)
| $less($uminus($difference('SKOLEMAAAL2.$real'(X),a)),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_1) ).
tff(18,plain,
! [X: $real] :
( ~ $less(0,X)
| $greatereq($sum('SKOLEMAAAL2.$real'(X),$product(-1,a)),0)
| $less($sum($product(-1,'SKOLEMAAAL2.$real'(X)),a),X) ),
inference('REWRITE',[status(thm)],[17,'CODE-FOR-$$PRODUCT','CODE-FOR-$$UMINUS','CODE-FOR-$$DIFFERENCE']) ).
tff(19,negated_conjecture,
! [X: $real] :
( ~ $less(0,X)
| $greatereq($difference('SKOLEMAAAL2.$real'(X),a),0)
| ~ $less($uminus($difference('SKOLEMAAAL2.$real'(X),a)),'SKOLEMAAAL1.$real') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_1) ).
tff(20,plain,
! [X: $real] :
( ~ $less(0,X)
| $greatereq($sum('SKOLEMAAAL2.$real'(X),$product(-1,a)),0)
| ~ $less($sum($product(-1,'SKOLEMAAAL2.$real'(X)),a),'SKOLEMAAAL1.$real') ),
inference('REWRITE',[status(thm)],[19,'CODE-FOR-$$PRODUCT','CODE-FOR-$$UMINUS','CODE-FOR-$$DIFFERENCE']) ).
tff(21,negated_conjecture,
! [X: $real] :
( ~ $less(0,X)
| ~ $less($difference('SKOLEMAAAL2.$real'(X),a),'SKOLEMAAAL1.$real')
| ~ $greatereq($difference('SKOLEMAAAL2.$real'(X),a),0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_1) ).
tff(22,plain,
! [X: $real] :
( ~ $less(0,X)
| ~ $less($sum('SKOLEMAAAL2.$real'(X),$product(-1,a)),'SKOLEMAAAL1.$real')
| ~ $greatereq($sum('SKOLEMAAAL2.$real'(X),$product(-1,a)),0) ),
inference('REWRITE',[status(thm)],[21,'CODE-FOR-$$UMINUS','CODE-FOR-$$DIFFERENCE']) ).
tff(27,plain,
( '$$$LESS'($sum('SKOLEMAAAL2.$real'('SKOLEMAAAL1.$real'),$product(-1,a)),0)
| $less($sum('SKOLEMAAAL2.$real'('SKOLEMAAAL1.$real'),$product(-1,a)),'SKOLEMAAAL1.$real') ),
inference('HYPERRESOLVE',[status(thm)],[16,13,'SOLVE-$$GREATEREQ-BY-$$$LESS']) ).
tff(31,plain,
( $greatereq($sum('SKOLEMAAAL2.$real'('SKOLEMAAAL1.$real'),$product(-1,a)),0)
| $less($sum($product(-1,'SKOLEMAAAL2.$real'('SKOLEMAAAL1.$real')),a),'SKOLEMAAAL1.$real') ),
inference('HYPERRESOLVE',[status(thm)],[18,13]) ).
tff(37,plain,
'$$$LESS'($sum('SKOLEMAAAL2.$real'('SKOLEMAAAL1.$real'),$product(-1,a)),0),
inference('HYPERRESOLVE',[status(thm)],[22,27,13,'SOLVE-$$GREATEREQ-BY-$$$LESS']) ).
tff(38,plain,
$greatereq($sum('SKOLEMAAAL2.$real'('SKOLEMAAAL1.$real'),$product(-1,a)),0),
inference('HYPERRESOLVE',[status(thm)],[20,31,13]) ).
cnf(41,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],['SOLVE-~$$GREATEREQ-BY-$$$LESS',38]),37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.06 % Problem : ANA140_1 : TPTP v8.2.0. Released v8.2.0.
% 0.03/0.07 % Command : run-snark %s %d
% 0.06/0.25 % Computer : n005.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Mon May 22 10:55:22 EDT 2023
% 0.06/0.25 % CPUTime :
% 0.10/0.32 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.33 *
% 0.10/0.33 *
% 0.10/0.33 #<PACKAGE "SNARK-USER">
% 0.10/0.33 *
% 0.10/0.33 SNARK-TPTP-OPTIONS
% 0.10/0.33 *
% 0.10/0.33 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.10/0.33 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.10/0.33 (USE-FACTORING :POS)
% 0.10/0.33 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.10/0.33 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.10/0.33 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.10/0.33 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.10/0.33 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.10/0.33 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.10/0.33 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.10/0.33 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.10/0.33 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.10/0.33 (DECLARE-TPTP-SYMBOLS2))
% 0.10/0.33 *
% 0.10/0.33 "."
% 0.10/0.33 *
% 0.10/0.33 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2023-05-22T10:55:22
% 0.10/0.33 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2023-05-22T10:55:22
% 0.10/0.35
% 0.10/0.35
% 0.10/0.35 #||
% 0.10/0.35 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % SZS output start Refutation
% See solution above
% 0.10/0.35 ||#
% 0.10/0.35
% 0.10/0.35 ; Summary of computation:
% 0.10/0.35 ; 67 formulas have been input or derived (from 26 formulas).
% 0.10/0.35 ; 41 (61%) were retained. Of these,
% 0.10/0.35 ; 10 (24%) were simplified or subsumed later,
% 0.10/0.35 ; 31 (76%) are still being kept.
% 0.10/0.35 ;
% 0.10/0.35 ; Run time in seconds excluding printing time:
% 0.10/0.35 ; 0.000 0% Read assertion file (1 call)
% 0.10/0.35 ; 0.001 6% Assert (1 call)
% 0.10/0.35 ; 0.001 6% Process new row (54 calls)
% 0.10/0.35 ; 0.001 6% Resolution (50 calls)
% 0.10/0.35 ; 0.001 6% Paramodulation (25 calls)
% 0.10/0.35 ; 0.000 0% Factoring (6 calls)
% 0.10/0.35 ; 0.000 0% Condensing (24 calls)
% 0.10/0.35 ; 0.001 6% Forward subsumption (24 calls)
% 0.10/0.35 ; 0.001 6% Backward subsumption (24 calls)
% 0.10/0.35 ; 0.000 0% Clause clause subsumption (2 calls)
% 0.10/0.35 ; 0.002 11% Forward simplification (46 calls)
% 0.10/0.35 ; 0.000 0% Backward simplification (36 calls)
% 0.10/0.35 ; 0.000 0% Ordering (4 calls)
% 0.10/0.35 ; 0.001 6% Sortal reasoning (705 calls)
% 0.10/0.35 ; 0.000 0% Purity testing (1 call)
% 0.10/0.35 ; 0.009 50% Other
% 0.10/0.35 ; 0.018 Total
% 0.10/0.35 ; 0.020 Real time
% 0.10/0.35 ;
% 0.10/0.35 ; Term-hash-array has 41 terms in all.
% 0.10/0.35 ; Feature-vector-row-index has 19 entries (24 at peak, 24 added, 5 deleted).
% 0.10/0.35 ; Feature-vector-row-index has 213 nodes (333 at peak, 333 added, 120 deleted).
% 0.10/0.35 ; Retrieved 2 possibly forward subsuming rows in 24 calls.
% 0.10/0.35 ; Retrieved 0 possibly backward subsumed rows in 24 calls.
% 0.10/0.35 ; Path-index has 41 entries (45 at peak, 52 added, 11 deleted).
% 0.10/0.35 ; Path-index has 99 nodes (102 at peak, 109 added, 10 deleted).
% 0.10/0.35 ; Trie-index has 41 entries (45 at peak, 52 added, 11 deleted).
% 0.10/0.35 ; Trie-index has 46 nodes (46 at peak, 52 added, 6 deleted).
% 0.10/0.35 ; Retrieved 40 generalization terms in 59 calls.
% 0.10/0.35 ; Retrieved 11 instance terms in 11 calls.
% 0.10/0.35 ; Retrieved 242 unifiable terms in 146 calls.
% 0.10/0.35 ;
% 0.10/0.35 ; The agenda of rows to process has 5 entries:
% 0.10/0.35 ; 3 with value 14 2 with value 18
% 0.10/0.35 ; The agenda of rows to give has 7 entries:
% 0.10/0.35 ; 1 with value (4 14) 2 with value (4 27) 3 with value (4 28)
% 0.10/0.35 ; 1 with value (4 17)
% 0.10/0.35 Evaluation took:
% 0.10/0.35 0.02 seconds of real time
% 0.10/0.35 0.016147 seconds of user run time
% 0.10/0.35 0.0041 seconds of system run time
% 0.10/0.35 0 calls to %EVAL
% 0.10/0.35 0 page faults and
% 0.10/0.35 3,464,024 bytes consed.
% 0.10/0.35 :PROOF-FOUND
% 0.10/0.35 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2023-05-22T10:55:22
% 0.10/0.35 :PROOF-FOUND
% 0.10/0.35 *
%------------------------------------------------------------------------------