%------------------------------------------------------------------------------
% 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 : n023.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 10:09:22 AM UTC 2025
% Result : Theorem 0.48s 0.66s
% Output : Refutation 0.48s
% 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(165,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(166,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)],[165,'CODE-FOR-$$PRODUCT','CODE-FOR-$$SUM']) ).
tff(169,negated_conjecture,
! [X: $int] : ~ sqrt(f__integer__(X),f__integer__(0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_7_base_case) ).
cnf(191,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[166,'$$GREATEREQ-IS-REFLEXIVE','$$LESSEQ-IS-REFLEXIVE','SOLVE-$$LESS-BY-$$$LESS']),169,'CODE-FOR-$$$LESS','CODE-FOR-$$SUM','CODE-FOR-$$PRODUCT']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWX000_1 : TPTP v9.1.0. Released v9.1.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n023.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 : 300
% 0.14/0.34 % DateTime : Sun Apr 6 02:58:54 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2025-04-06T02:58:54
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2025-04-06T02:58:54
% 0.20/0.50 WARNING: |sqrt| is being used as a 2-ary RELATION; it is also a 1-ary RELATION.
% 0.20/0.50 WARNING: In quantification, variable ?J1_i is being rebound.
% 0.20/0.50 WARNING: In quantification, variable ?I1_i is being rebound.
% 0.20/0.50 WARNING: In quantification, variable ?J1_i is being rebound.
% 0.20/0.50 WARNING: In quantification, variable ?I1_i is being rebound.
% 0.20/0.51 WARNING: In quantification, variable ?J_i is being rebound.
% 0.20/0.51 WARNING: In quantification, variable ?I_i is being rebound.
% 0.20/0.51 WARNING: In quantification, variable ?J_i is being rebound.
% 0.20/0.51 WARNING: In quantification, variable ?I_i is being rebound.
% 0.20/0.51 WARNING: In quantification, variable ?J1_i is being rebound.
% 0.20/0.51 WARNING: In quantification, variable ?I1_i is being rebound.
% 0.20/0.51 WARNING: In quantification, variable ?J1_i is being rebound.
% 0.20/0.51 WARNING: In quantification, variable ?I1_i is being rebound.
% 0.48/0.66
% 0.48/0.66
% 0.48/0.66 #||
% 0.48/0.66 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.48/0.66 % SZS output start Refutation
% See solution above
% 0.48/0.66 ||#
% 0.48/0.66
% 0.48/0.66 ; Summary of computation:
% 0.48/0.66 ; 250 formulas have been input or derived (from 163 formulas).
% 0.48/0.66 ; 191 (76%) were retained. Of these,
% 0.48/0.66 ; 3 ( 2%) were simplified or subsumed later,
% 0.48/0.66 ; 188 (98%) are still being kept.
% 0.48/0.66 ;
% 0.48/0.66 ; Run time in seconds:
% 0.48/0.66 ; 0.017 9% Read assertion file (1 call)
% 0.48/0.66 ; 0.018 10% Assert (23 calls)
% 0.48/0.66 ; 0.013 7% Process new row (224 calls)
% 0.48/0.66 ; 0.007 4% Resolution (324 calls)
% 0.48/0.66 ; 0.001 1% Paramodulation (162 calls)
% 0.48/0.66 ; 0.000 0% Factoring (6 calls)
% 0.48/0.66 ; 0.093 51% Condensing (174 calls)
% 0.48/0.66 ; 0.000 0% Forward subsumption (174 calls)
% 0.48/0.66 ; 0.004 2% Backward subsumption (164 calls)
% 0.48/0.66 ; 0.000 0% Clause clause subsumption (23 calls)
% 0.48/0.66 ; 0.005 3% Forward simplification (224 calls)
% 0.48/0.66 ; 0.001 1% Backward simplification (188 calls)
% 0.48/0.66 ; 0.000 0% Ordering (170 calls)
% 0.48/0.66 ; 0.001 1% Sortal reasoning (2,023 calls)
% 0.48/0.66 ; 0.001 1% Purity testing (1 call)
% 0.48/0.66 ; 0.022 12% Other
% 0.48/0.66 ; 0.183 Total
% 0.48/0.66 ; 0.185 Real time
% 0.48/0.66 ;
% 0.48/0.66 ; Term-hash-array has 489 terms in all.
% 0.48/0.66 ; Feature-vector-row-index has 164 entries (164 at peak, 164 added, 0 deleted).
% 0.48/0.66 ; Feature-vector-row-index has 458 nodes (458 at peak, 458 added, 0 deleted).
% 0.48/0.66 ; Retrieved 79 possibly forward subsuming rows in 174 calls.
% 0.48/0.66 ; Retrieved 27 possibly backward subsumed rows in 164 calls.
% 0.48/0.66 ; Path-index has 495 entries (495 at peak, 495 added, 0 deleted).
% 0.48/0.66 ; Path-index has 862 nodes (862 at peak, 862 added, 0 deleted).
% 0.48/0.66 ; Trie-index has 495 entries (495 at peak, 495 added, 0 deleted).
% 0.48/0.66 ; Trie-index has 831 nodes (831 at peak, 831 added, 0 deleted).
% 0.48/0.66 ; Retrieved 109 generalization terms in 125 calls.
% 0.48/0.66 ; Retrieved 38 instance terms in 23 calls.
% 0.48/0.66 ; Retrieved 11,859 unifiable terms in 550 calls.
% 0.48/0.66 ;
% 0.48/0.66 ; The agenda of rows to process has 3 entries:
% 0.48/0.66 ; 1 with value 29 1 with value 31 1 with value 33
% 0.48/0.66 ; The agenda of input rows to give has 5 entries:
% 0.48/0.66 ; 1 with value 35 1 with value 121 1 with value 225
% 0.48/0.66 ; 1 with value 44 1 with value 212
% 0.48/0.66 ; The agenda of rows to give has 20 entries:
% 0.48/0.66 ; 4 with value (4 5) 2 with value (4 8) 3 with value (4 13)
% 0.48/0.66 ; 2 with value (4 6) 1 with value (4 9) 1 with value (4 18)
% 0.48/0.66 ; 4 with value (4 7) 2 with value (4 12) 1 with value (4 20)
% 0.48/0.66 Evaluation took:
% 0.48/0.66 0.185 seconds of real time
% 0.48/0.66 0.170066 seconds of user run time
% 0.48/0.66 0.013696 seconds of system run time
% 0.48/0.66 0 calls to %EVAL
% 0.48/0.66 0 page faults and
% 0.48/0.66 8,412,096 bytes consed.
% 0.48/0.66 :PROOF-FOUND
% 0.48/0.66 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2025-04-06T02:58:55
% 0.48/0.66 :PROOF-FOUND
% 0.48/0.66 *
%------------------------------------------------------------------------------