%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWC153+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 : Tue Jul 19 21:57:15 EDT 2022
% Result : Theorem 10.32s 10.48s
% Output : Refutation 10.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 14
% Syntax : Number of clauses : 24 ( 14 unt; 0 nHn; 24 RR)
% Number of literals : 79 ( 8 equ; 58 neg)
% Maximal clause size : 10 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 34 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(193,negated_conjecture,
'SKOLEMAAAV50' = 'SKOLEMAAAV48',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(194,negated_conjecture,
( ~ ssItem(X)
| ~ ssItem(Y)
| ~ ssList(Z)
| ~ ssList(U)
| ~ ssList(V)
| app(app(app(app(Z,cons(X,nil)),U),cons(Y,nil)),V) != 'SKOLEMAAAV50'
| ~ leq(Y,X)
| leq(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(195,plain,
( ~ ssItem(X)
| ~ ssItem(Y)
| ~ ssList(Z)
| ~ ssList(U)
| ~ ssList(V)
| app(app(app(app(Z,cons(X,nil)),U),cons(Y,nil)),V) != 'SKOLEMAAAV48'
| ~ leq(Y,X)
| leq(X,Y) ),
inference('REWRITE',[status(thm)],[194,193,theory(equality)]) ).
cnf(196,negated_conjecture,
( ~ ssItem(X)
| ~ ssItem(Y)
| ~ ssList(Z)
| ~ ssList(U)
| ~ ssList(V)
| app(app(app(app(Z,cons(X,nil)),U),cons(Y,nil)),V) != 'SKOLEMAAAV50'
| ~ leq(Y,X)
| ~ ssItem(W)
| ~ memberP(U,W)
| leq(X,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(197,plain,
( ~ ssItem(X)
| ~ ssItem(Y)
| ~ ssList(Z)
| ~ ssList(U)
| ~ ssList(V)
| app(app(app(app(Z,cons(X,nil)),U),cons(Y,nil)),V) != 'SKOLEMAAAV48'
| ~ leq(Y,X)
| ~ ssItem(W)
| ~ memberP(U,W)
| leq(X,W) ),
inference('REWRITE',[status(thm)],[196,193,theory(equality)]) ).
cnf(198,negated_conjecture,
( ~ ssItem(X)
| ~ ssItem(Y)
| ~ ssList(Z)
| ~ ssList(U)
| ~ ssList(V)
| app(app(app(app(Z,cons(X,nil)),U),cons(Y,nil)),V) != 'SKOLEMAAAV50'
| ~ leq(Y,X)
| ~ ssItem(W)
| ~ memberP(U,W)
| leq(W,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(199,plain,
( ~ ssItem(X)
| ~ ssItem(Y)
| ~ ssList(Z)
| ~ ssList(U)
| ~ ssList(V)
| app(app(app(app(Z,cons(X,nil)),U),cons(Y,nil)),V) != 'SKOLEMAAAV48'
| ~ leq(Y,X)
| ~ ssItem(W)
| ~ memberP(U,W)
| leq(W,Y) ),
inference('REWRITE',[status(thm)],[198,193,theory(equality)]) ).
cnf(200,negated_conjecture,
ssItem('SKOLEMAAAV52'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(201,negated_conjecture,
ssItem('SKOLEMAAAV53'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(202,negated_conjecture,
ssList('SKOLEMAAAV54'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(203,negated_conjecture,
ssList('SKOLEMAAAV55'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(204,negated_conjecture,
ssList('SKOLEMAAAV56'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(205,negated_conjecture,
app(app(app(app('SKOLEMAAAV54',cons('SKOLEMAAAV52',nil)),'SKOLEMAAAV55'),cons('SKOLEMAAAV53',nil)),'SKOLEMAAAV56') = 'SKOLEMAAAV48',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(206,negated_conjecture,
leq('SKOLEMAAAV53','SKOLEMAAAV52'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(207,negated_conjecture,
( ssItem('SKOLEMAAAV57')
| ~ leq('SKOLEMAAAV52','SKOLEMAAAV53') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(208,negated_conjecture,
( memberP('SKOLEMAAAV55','SKOLEMAAAV57')
| ~ leq('SKOLEMAAAV52','SKOLEMAAAV53') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(209,negated_conjecture,
( ~ leq('SKOLEMAAAV57','SKOLEMAAAV53')
| ~ leq('SKOLEMAAAV52','SKOLEMAAAV57')
| ~ leq('SKOLEMAAAV52','SKOLEMAAAV53') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(2318,plain,
leq('SKOLEMAAAV52','SKOLEMAAAV53'),
inference('HYPERRESOLVE',[status(thm)],[195,200,201,202,203,204,205,206]) ).
cnf(2319,plain,
ssItem('SKOLEMAAAV57'),
inference('REWRITE',[status(thm)],[207,2318]) ).
cnf(2320,plain,
memberP('SKOLEMAAAV55','SKOLEMAAAV57'),
inference('REWRITE',[status(thm)],[208,2318]) ).
cnf(2321,plain,
( ~ leq('SKOLEMAAAV57','SKOLEMAAAV53')
| ~ leq('SKOLEMAAAV52','SKOLEMAAAV57') ),
inference('REWRITE',[status(thm)],[209,2318]) ).
cnf(2677,plain,
leq('SKOLEMAAAV52','SKOLEMAAAV57'),
inference('HYPERRESOLVE',[status(thm)],[197,200,201,202,203,204,205,206,2319,2320]) ).
cnf(2678,plain,
~ leq('SKOLEMAAAV57','SKOLEMAAAV53'),
inference('REWRITE',[status(thm)],[2321,2677]) ).
cnf(2899,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[199,200,201,202,203,204,205,206,2319,2320,2678]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC153+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 12 10:23:24 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.46 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T10:23:24
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-12T10:23:24
% 10.32/10.48
% 10.32/10.48
% 10.32/10.48 #||
% 10.32/10.48 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.32/10.48 % SZS output start Refutation
% See solution above
% 10.32/10.48 ||#
% 10.32/10.48
% 10.32/10.48 ; Summary of computation:
% 10.32/10.48 ; 4440 formulas have been input or derived (from 209 formulas).
% 10.32/10.48 ; 2899 (65%) were retained. Of these,
% 10.32/10.48 ; 139 ( 5%) were simplified or subsumed later,
% 10.32/10.48 ; 2760 (95%) are still being kept.
% 10.32/10.48 ;
% 10.32/10.48 ; Run time in seconds excluding printing time:
% 10.32/10.48 ; 0.028 0% Read assertion file (1 call)
% 10.32/10.48 ; 0.008 0% Assert (96 calls)
% 10.32/10.48 ; 0.182 2% Process new row (4,191 calls)
% 10.32/10.48 ; 9.625 96% Resolution (416 calls)
% 10.32/10.48 ; 0.005 0% Paramodulation (208 calls)
% 10.32/10.48 ; 0.005 0% Condensing (571 calls)
% 10.32/10.48 ; 0.006 0% Forward subsumption (571 calls)
% 10.32/10.48 ; 0.009 0% Backward subsumption (568 calls)
% 10.32/10.48 ; 0.001 0% Clause clause subsumption (135 calls)
% 10.32/10.48 ; 0.075 1% Forward simplification (4,191 calls)
% 10.32/10.48 ; 0.033 0% Backward simplification (2,896 calls)
% 10.32/10.48 ; 0.004 0% Ordering (1,108 calls)
% 10.32/10.48 ; 0.000 0% Sortal reasoning (32 calls)
% 10.32/10.48 ; 0.000 0% Purity testing (1 call)
% 10.32/10.48 ; 0.038 0% Other
% 10.32/10.48 ; 10.019 Total
% 10.32/10.48 ; 10.022 Real time
% 10.32/10.48 ;
% 10.32/10.48 ; Term-hash-array has 5,883 terms in all.
% 10.32/10.48 ; Feature-vector-row-index has 564 entries (564 at peak, 568 added, 4 deleted).
% 10.32/10.48 ; Feature-vector-row-index has 2,675 nodes (2,675 at peak, 2,701 added, 26 deleted).
% 10.32/10.48 ; Retrieved 210 possibly forward subsuming rows in 571 calls.
% 10.32/10.48 ; Retrieved 145 possibly backward subsumed rows in 568 calls.
% 10.32/10.48 ; Path-index has 5,714 entries (5,714 at peak, 5,902 added, 188 deleted).
% 10.32/10.48 ; Path-index has 2,753 nodes (2,753 at peak, 2,816 added, 63 deleted).
% 10.32/10.48 ; Trie-index has 5,714 entries (5,714 at peak, 5,902 added, 188 deleted).
% 10.32/10.48 ; Trie-index has 15,036 nodes (15,036 at peak, 15,285 added, 249 deleted).
% 10.32/10.48 ; Retrieved 4,788 generalization terms in 21,702 calls.
% 10.32/10.48 ; Retrieved 2,357 instance terms in 2,327 calls.
% 10.32/10.48 ; Retrieved 30,025,833 unifiable terms in 620,585 calls.
% 10.32/10.48 ;
% 10.32/10.48 ; The agenda of rows to process has 48 entries:
% 10.32/10.48 ; 6 with value 4 36 with value 22 1 with value 53
% 10.32/10.48 ; 4 with value 5 1 with value 35
% 10.32/10.48 ; The agenda of rows to give has 2555 entries:
% 10.32/10.48 ; 76 with value (4 5) 240 with value (4 15) 1 with value (4 26)
% 10.32/10.48 ; 67 with value (4 7) 37 with value (4 16) 1 with value (4 27)
% 10.32/10.48 ; 30 with value (4 8) 85 with value (4 17) 1 with value (4 29)
% 10.32/10.48 ; 219 with value (4 9) 330 with value (4 18) 1 with value (4 35)
% 10.32/10.48 ; 68 with value (4 10) 180 with value (4 19) 2 with value (4 40)
% 10.32/10.48 ; 94 with value (4 11) 900 with value (4 21) 1 with value (4 43)
% 10.32/10.48 ; 11 with value (4 12) 5 with value (4 22) 2 with value (4 46)
% 10.32/10.48 ; 160 with value (4 13) 30 with value (4 25) 2 with value (4 47)
% 10.32/10.48 ; 12 with value (4 14)
% 10.32/10.48 Evaluation took:
% 10.32/10.48 10.022 seconds of real time
% 10.32/10.48 9.91702 seconds of user run time
% 10.32/10.48 0.104798 seconds of system run time
% 10.32/10.48 [Run times include 0.356 seconds GC run time.]
% 10.32/10.48 0 calls to %EVAL
% 10.32/10.48 0 page faults and
% 10.32/10.48 969,459,512 bytes consed.
% 10.32/10.48 :PROOF-FOUND
% 10.32/10.49 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T10:23:34
% 10.32/10.49 :PROOF-FOUND
% 10.32/10.49 *
%------------------------------------------------------------------------------