%------------------------------------------------------------------------------
% 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 : n003.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 10:09:20 AM UTC 2025
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 17 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 60 ( 8 equ)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 16 ( 9 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 36 ( 36 fml; 0 var)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 4 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 12 ( 0 sgn 12 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
tff(49,axiom,
! [X: general,Y: general] :
( ~ color(X,Y)
| ( X = 'SKOLEMAAAU9.general'(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_5_completed_definition_of_color_2) ).
tff(50,axiom,
! [X: general,Y: general] :
( ~ color(X,Y)
| ( Y = 'SKOLEMAAAU10.general'(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_5_completed_definition_of_color_2) ).
tff(51,axiom,
! [X: general,Y: general] :
( ~ color(X,Y)
| ( 'SKOLEMAAAU11.general'(X,Y) = 'SKOLEMAAAU9.general'(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_5_completed_definition_of_color_2) ).
tff(52,axiom,
! [X: general,Y: general] :
( ~ color(X,Y)
| vertex('SKOLEMAAAU11.general'(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_5_completed_definition_of_color_2) ).
tff(53,axiom,
! [X: general,Y: general] :
( ~ color(X,Y)
| ( 'SKOLEMAAAU12.general'(X,Y) = 'SKOLEMAAAU10.general'(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_5_completed_definition_of_color_2) ).
tff(54,axiom,
! [X: general,Y: general] :
( ~ color(X,Y)
| color('SKOLEMAAAU12.general'(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_5_completed_definition_of_color_2) ).
tff(55,negated_conjecture,
color('SKOLEMAAAU13.general','SKOLEMAAAU14.general'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_6_unnamed_formula) ).
tff(56,negated_conjecture,
( ~ vertex('SKOLEMAAAU13.general')
| ~ color('SKOLEMAAAU14.general') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_6_unnamed_formula) ).
tff(70,plain,
vertex('SKOLEMAAAU11.general'('SKOLEMAAAU13.general','SKOLEMAAAU14.general')),
inference('HYPERRESOLVE',[status(thm)],[52,55]) ).
tff(71,plain,
color('SKOLEMAAAU12.general'('SKOLEMAAAU13.general','SKOLEMAAAU14.general')),
inference('HYPERRESOLVE',[status(thm)],[54,55]) ).
tff(74,plain,
'SKOLEMAAAU13.general' = 'SKOLEMAAAU9.general'('SKOLEMAAAU13.general','SKOLEMAAAU14.general'),
inference('HYPERRESOLVE',[status(thm)],[49,55]) ).
tff(75,plain,
'SKOLEMAAAU14.general' = 'SKOLEMAAAU10.general'('SKOLEMAAAU13.general','SKOLEMAAAU14.general'),
inference('HYPERRESOLVE',[status(thm)],[50,55]) ).
tff(79,plain,
'SKOLEMAAAU11.general'('SKOLEMAAAU13.general','SKOLEMAAAU14.general') = 'SKOLEMAAAU13.general',
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[51,55]),74,theory(equality)]) ).
tff(80,plain,
vertex('SKOLEMAAAU13.general'),
inference('REWRITE',[status(thm)],[70,79,theory(equality)]) ).
tff(81,plain,
~ color('SKOLEMAAAU14.general'),
inference('REWRITE',[status(thm)],[56,80]) ).
tff(82,plain,
'SKOLEMAAAU12.general'('SKOLEMAAAU13.general','SKOLEMAAAU14.general') = 'SKOLEMAAAU14.general',
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[53,55]),75,theory(equality)]) ).
cnf(83,plain,
$false,
inference('REWRITE',[status(thm)],[71,81,82,theory(equality)]) ).
%------------------------------------------------------------------------------
%----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
% 0.12/0.34 % Computer : n003.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 : 300
% 0.12/0.34 % DateTime : Sun Apr 6 02:56:48 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 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 2025-04-06T02:56:48
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n003.cluster.edu at 2025-04-06T02:56:48
% 0.19/0.49 WARNING: |color| is being used as a 2-ary RELATION; it is also a 1-ary RELATION.
% 0.19/0.49 WARNING: In quantification, variable ?Z_g is being rebound.
% 0.19/0.49 WARNING: In quantification, variable ?Z_g is being rebound.
% 0.19/0.49 WARNING: In quantification, variable ?Z2_g is being rebound.
% 0.19/0.49 WARNING: In quantification, variable ?Z1_g is being rebound.
% 0.19/0.49 WARNING: In quantification, variable ?Z_g is being rebound.
% 0.19/0.49 WARNING: In quantification, variable ?Z_g is being rebound.
% 0.19/0.49 WARNING: In quantification, variable ?Z_g is being rebound.
% 0.19/0.49 WARNING:
% 0.19/0.49 |edge| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.19/0.52
% 0.19/0.52
% 0.19/0.52 #||
% 0.19/0.52 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.52 % SZS output start Refutation
% See solution above
% 0.19/0.53 ||#
% 0.19/0.53
% 0.19/0.53 ; Summary of computation:
% 0.19/0.53 ; 147 formulas have been input or derived (from 55 formulas).
% 0.19/0.53 ; 83 (56%) were retained. Of these,
% 0.19/0.53 ; 4 ( 5%) were simplified or subsumed later,
% 0.19/0.53 ; 79 (95%) are still being kept.
% 0.19/0.53 ;
% 0.19/0.53 ; Run time in seconds excluding printing time:
% 0.19/0.53 ; 0.009 17% Read assertion file (1 call)
% 0.19/0.53 ; 0.004 7% Assert (22 calls)
% 0.19/0.53 ; 0.003 6% Process new row (120 calls)
% 0.19/0.53 ; 0.004 7% Resolution (108 calls)
% 0.19/0.53 ; 0.000 0% Paramodulation (54 calls)
% 0.19/0.53 ; 0.000 0% Factoring (5 calls)
% 0.19/0.53 ; 0.005 9% Condensing (64 calls)
% 0.19/0.53 ; 0.001 2% Forward subsumption (64 calls)
% 0.19/0.53 ; 0.002 4% Backward subsumption (54 calls)
% 0.19/0.53 ; 0.000 0% Clause clause subsumption (16 calls)
% 0.19/0.53 ; 0.003 6% Forward simplification (117 calls)
% 0.19/0.53 ; 0.001 2% Backward simplification (83 calls)
% 0.19/0.53 ; 0.001 2% Ordering (75 calls)
% 0.19/0.53 ; 0.000 0% Sortal reasoning (38 calls)
% 0.19/0.53 ; 0.000 0% Purity testing (1 call)
% 0.19/0.53 ; 0.021 39% Other
% 0.19/0.53 ; 0.054 Total
% 0.19/0.53 ; 0.056 Real time
% 0.19/0.53 ;
% 0.19/0.53 ; Term-hash-array has 116 terms in all.
% 0.19/0.53 ; Feature-vector-row-index has 52 entries (53 at peak, 54 added, 2 deleted).
% 0.19/0.53 ; Feature-vector-row-index has 102 nodes (107 at peak, 111 added, 9 deleted).
% 0.19/0.53 ; Retrieved 28 possibly forward subsuming rows in 64 calls.
% 0.19/0.53 ; Retrieved 1 possibly backward subsumed row in 54 calls.
% 0.19/0.53 ; Path-index has 112 entries (113 at peak, 122 added, 10 deleted).
% 0.19/0.53 ; Path-index has 216 nodes (218 at peak, 223 added, 7 deleted).
% 0.19/0.53 ; Trie-index has 112 entries (113 at peak, 122 added, 10 deleted).
% 0.19/0.53 ; Trie-index has 209 nodes (211 at peak, 216 added, 7 deleted).
% 0.19/0.53 ; Retrieved 62 generalization terms in 80 calls.
% 0.19/0.53 ; Retrieved 39 instance terms in 28 calls.
% 0.19/0.53 ; Retrieved 1,082 unifiable terms in 210 calls.
% 0.19/0.53 ;
% 0.19/0.53 ; The agenda of input rows to give has 3 entries:
% 0.19/0.53 ; 2 with value 14 1 with value 36
% 0.19/0.53 ; The agenda of rows to give has 22 entries:
% 0.19/0.53 ; 1 with value (4 4) 4 with value (4 7) 2 with value (4 12)
% 0.19/0.53 ; 3 with value (4 5) 6 with value (4 8) 3 with value (4 13)
% 0.19/0.53 ; 2 with value (4 6) 1 with value (4 9)
% 0.19/0.53 Evaluation took:
% 0.19/0.53 0.056 seconds of real time
% 0.19/0.53 0.048924 seconds of user run time
% 0.19/0.53 0.007863 seconds of system run time
% 0.19/0.53 0 calls to %EVAL
% 0.19/0.53 0 page faults and
% 0.19/0.53 3,664,320 bytes consed.
% 0.19/0.53 :PROOF-FOUND
% 0.19/0.53 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2025-04-06T02:56:48
% 0.19/0.53 :PROOF-FOUND
% 0.19/0.53 *
%------------------------------------------------------------------------------