%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWX000_1 : TPTP v9.1.0. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n014.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 : Sun Apr 6 10:09:23 AM UTC 2025
% Result : Theorem 0.19s 0.57s
% Output : Refutation 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 'CODE-FOR-$$PRODUCT')
% Comments :
%------------------------------------------------------------------------------
cnf('$$LESSEQ-IS-REFLEXIVE',axiom,
$lesseq(X,X) ).
cnf('$$GREATEREQ-IS-REFLEXIVE',axiom,
$greatereq(X,X) ).
tff('SOLVE-$$LESS-BY-$$$LESS',axiom,
! [X: 'NUMBER',Y: 'NUMBER'] :
( $less(X,Y)
| ~ '$$$LESS'(X,Y) ) ).
tff(115,axiom,
! [X: $int,Y: $int] :
( sqrt(f__integer__(X),f__integer__(Y))
| ~ $greatereq(X,0)
| ~ $lesseq($product(X,X),Y)
| ~ $less(Y,$product($sum(X,1),$sum(X,1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_5_unnamed_formula) ).
tff(116,plain,
! [X: $int,Y: $int] :
( sqrt(f__integer__(X),f__integer__(Y))
| ~ $greatereq(X,0)
| ~ $lesseq($product(X,X),Y)
| ~ $less(Y,$sum(1,$sum($product(2,X),$product(X,X)))) ),
inference('REWRITE',[status(thm)],[115,'CODE-FOR-$$PRODUCT','CODE-FOR-$$SUM']) ).
tff(119,negated_conjecture,
! [X: $int] : ~ sqrt(f__integer__(X),f__integer__(0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_7_base_case) ).
cnf(141,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[116,'$$GREATEREQ-IS-REFLEXIVE','$$LESSEQ-IS-REFLEXIVE','SOLVE-$$LESS-BY-$$$LESS']),119,'CODE-FOR-$$$LESS','CODE-FOR-$$SUM','CODE-FOR-$$PRODUCT']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWX000_1 : TPTP v9.1.0. Released v9.1.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n014.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 : 300
% 0.13/0.34 % DateTime : Sun Apr 6 03:09:04 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.48 #<PACKAGE "SNARK-USER">
% 0.19/0.48 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2025-04-06T03:09:04
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2025-04-06T03:09:04
% 0.19/0.51 WARNING: In quantification, variable ?J_i is being rebound.
% 0.19/0.51 WARNING: In quantification, variable ?I_i is being rebound.
% 0.19/0.51 WARNING: In quantification, variable ?J_i is being rebound.
% 0.19/0.51 WARNING: In quantification, variable ?I_i is being rebound.
% 0.19/0.57
% 0.19/0.57
% 0.19/0.57 #||
% 0.19/0.57 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.57 % SZS output start Refutation
% See solution above
% 0.19/0.57 ||#
% 0.19/0.57
% 0.19/0.57 ; Summary of computation:
% 0.19/0.57 ; 200 formulas have been input or derived (from 113 formulas).
% 0.19/0.57 ; 141 (70%) were retained. Of these,
% 0.19/0.57 ; 3 ( 2%) were simplified or subsumed later,
% 0.19/0.57 ; 138 (98%) are still being kept.
% 0.19/0.57 ;
% 0.19/0.57 ; Run time in seconds excluding printing time:
% 0.19/0.57 ; 0.012 13% Read assertion file (1 call)
% 0.19/0.57 ; 0.009 10% Assert (23 calls)
% 0.19/0.57 ; 0.012 13% Process new row (172 calls)
% 0.19/0.57 ; 0.008 9% Resolution (224 calls)
% 0.19/0.57 ; 0.001 1% Paramodulation (112 calls)
% 0.19/0.57 ; 0.000 0% Factoring (6 calls)
% 0.19/0.57 ; 0.014 16% Condensing (124 calls)
% 0.19/0.57 ; 0.001 1% Forward subsumption (124 calls)
% 0.19/0.57 ; 0.000 0% Backward subsumption (114 calls)
% 0.19/0.57 ; 0.001 1% Clause clause subsumption (19 calls)
% 0.19/0.57 ; 0.002 2% Forward simplification (172 calls)
% 0.19/0.57 ; 0.002 2% Backward simplification (138 calls)
% 0.19/0.57 ; 0.002 2% Ordering (128 calls)
% 0.19/0.57 ; 0.000 0% Sortal reasoning (722 calls)
% 0.19/0.57 ; 0.000 0% Purity testing (1 call)
% 0.19/0.57 ; 0.025 28% Other
% 0.19/0.57 ; 0.089 Total
% 0.19/0.57 ; 0.090 Real time
% 0.19/0.57 ;
% 0.19/0.57 ; Term-hash-array has 304 terms in all.
% 0.19/0.57 ; Feature-vector-row-index has 114 entries (114 at peak, 114 added, 0 deleted).
% 0.19/0.57 ; Feature-vector-row-index has 349 nodes (349 at peak, 349 added, 0 deleted).
% 0.19/0.57 ; Retrieved 41 possibly forward subsuming rows in 124 calls.
% 0.19/0.57 ; Retrieved 3 possibly backward subsumed rows in 114 calls.
% 0.19/0.57 ; Path-index has 311 entries (311 at peak, 311 added, 0 deleted).
% 0.19/0.57 ; Path-index has 552 nodes (552 at peak, 552 added, 0 deleted).
% 0.19/0.57 ; Trie-index has 311 entries (311 at peak, 311 added, 0 deleted).
% 0.19/0.57 ; Trie-index has 521 nodes (521 at peak, 521 added, 0 deleted).
% 0.19/0.57 ; Retrieved 92 generalization terms in 108 calls.
% 0.19/0.57 ; Retrieved 38 instance terms in 23 calls.
% 0.19/0.57 ; Retrieved 5,008 unifiable terms in 400 calls.
% 0.19/0.57 ;
% 0.19/0.57 ; The agenda of rows to process has 3 entries:
% 0.19/0.57 ; 1 with value 29 1 with value 31 1 with value 33
% 0.19/0.57 ; The agenda of input rows to give has 5 entries:
% 0.19/0.57 ; 1 with value 35 1 with value 84 1 with value 121
% 0.19/0.57 ; 1 with value 44 1 with value 93
% 0.19/0.57 ; The agenda of rows to give has 20 entries:
% 0.19/0.57 ; 4 with value (4 5) 2 with value (4 8) 3 with value (4 13)
% 0.19/0.57 ; 2 with value (4 6) 1 with value (4 9) 1 with value (4 18)
% 0.19/0.57 ; 4 with value (4 7) 2 with value (4 12) 1 with value (4 20)
% 0.19/0.57 Evaluation took:
% 0.19/0.57 0.091 seconds of real time
% 0.19/0.57 0.075779 seconds of user run time
% 0.19/0.57 0.015373 seconds of system run time
% 0.19/0.57 0 calls to %EVAL
% 0.19/0.57 0 page faults and
% 0.19/0.57 4,683,408 bytes consed.
% 0.19/0.57 :PROOF-FOUND
% 0.19/0.57 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2025-04-06T03:09:04
% 0.19/0.57 :PROOF-FOUND
% 0.19/0.57 *
%------------------------------------------------------------------------------