%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWC416+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 21:58:44 EDT 2022
% Result : Theorem 0.55s 0.73s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 14
% Syntax : Number of clauses : 26 ( 15 unt; 1 nHn; 26 RR)
% Number of literals : 67 ( 28 equ; 46 neg)
% Maximal clause size : 9 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 22 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(81,axiom,
( ~ ssList(X)
| ~ ssList(Y)
| ~ neq(X,Y)
| X != Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax15) ).
cnf(82,axiom,
( ~ ssList(X)
| ~ ssList(Y)
| neq(X,Y)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax15) ).
cnf(83,axiom,
( ~ ssList(X)
| ~ ssItem(Y)
| ssList(cons(Y,X)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax16) ).
cnf(84,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).
cnf(93,axiom,
( ~ ssList(X)
| ~ ssItem(Y)
| hd(cons(Y,X)) = Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax23) ).
cnf(170,axiom,
( ~ ssList(X)
| ~ ssItem(Y)
| cons(Y,X) = app(cons(Y,nil),X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax81) ).
cnf(188,negated_conjecture,
ssList('SKOLEMAAAV48'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(189,negated_conjecture,
ssList('SKOLEMAAAV49'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(192,negated_conjecture,
'SKOLEMAAAV49' = 'SKOLEMAAAV51',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(193,negated_conjecture,
'SKOLEMAAAV48' = 'SKOLEMAAAV50',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(194,negated_conjecture,
neq('SKOLEMAAAV49',nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(195,negated_conjecture,
( ~ ssList(X)
| 'SKOLEMAAAV49' != X
| ~ ssList(Y)
| app(Y,'SKOLEMAAAV48') != X
| ~ ssItem(Z)
| cons(Z,nil) != Y
| hd('SKOLEMAAAV49') != Z
| ~ neq(nil,'SKOLEMAAAV49')
| ~ neq('SKOLEMAAAV51',nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(196,plain,
( ~ ssList(X)
| 'SKOLEMAAAV49' != X
| ~ ssList(Y)
| app(Y,'SKOLEMAAAV48') != X
| ~ ssItem(Z)
| cons(Z,nil) != Y
| hd('SKOLEMAAAV49') != Z
| ~ neq(nil,'SKOLEMAAAV49') ),
inference('REWRITE',[status(thm)],[195,194,192,theory(equality)]) ).
cnf(197,negated_conjecture,
( ssItem('SKOLEMAAAV52')
| ~ neq('SKOLEMAAAV51',nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(198,plain,
ssItem('SKOLEMAAAV52'),
inference('REWRITE',[status(thm)],[197,194,192,theory(equality)]) ).
cnf(199,negated_conjecture,
( app(cons('SKOLEMAAAV52',nil),'SKOLEMAAAV50') = 'SKOLEMAAAV51'
| ~ neq('SKOLEMAAAV51',nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(200,plain,
app(cons('SKOLEMAAAV52',nil),'SKOLEMAAAV48') = 'SKOLEMAAAV49',
inference('REWRITE',[status(thm)],[199,194,192,193,theory(equality)]) ).
cnf(328,plain,
ssList(cons('SKOLEMAAAV52',nil)),
inference('HYPERRESOLVE',[status(thm)],[83,84,198]) ).
cnf(378,plain,
nil != 'SKOLEMAAAV49',
inference('UR-RESOLVE',[status(thm)],[81,189,84,194]) ).
cnf(390,plain,
neq(nil,'SKOLEMAAAV49'),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[82,84,189]),378]) ).
cnf(391,plain,
( ~ ssList(X)
| 'SKOLEMAAAV49' != X
| ~ ssList(Y)
| app(Y,'SKOLEMAAAV48') != X
| ~ ssItem(Z)
| cons(Z,nil) != Y
| hd('SKOLEMAAAV49') != Z ),
inference('REWRITE',[status(thm)],[196,390]) ).
cnf(403,plain,
hd(cons('SKOLEMAAAV52','SKOLEMAAAV48')) = 'SKOLEMAAAV52',
inference('HYPERRESOLVE',[status(thm)],[93,188,198]) ).
cnf(440,plain,
cons('SKOLEMAAAV52','SKOLEMAAAV48') = 'SKOLEMAAAV49',
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[170,188,198]),200,theory(equality)]) ).
cnf(444,plain,
hd('SKOLEMAAAV49') = 'SKOLEMAAAV52',
inference('REWRITE',[status(thm)],[403,440,theory(equality)]) ).
cnf(445,plain,
( ~ ssList(X)
| 'SKOLEMAAAV49' != X
| ~ ssList(Y)
| app(Y,'SKOLEMAAAV48') != X
| ~ ssItem(Z)
| cons(Z,nil) != Y
| 'SKOLEMAAAV52' != Z ),
inference('REWRITE',[status(thm)],[391,444,theory(equality)]) ).
cnf(563,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[445,189,200,198,theory(equality),theory(equality),theory(equality)]),328]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC416+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n025.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 : 600
% 0.13/0.34 % DateTime : Sun Jun 12 23:20:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T23:20:38
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-12T23:20:38
% 0.55/0.73
% 0.55/0.73
% 0.55/0.73 #||
% 0.55/0.73 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.55/0.73 % SZS output start Refutation
% See solution above
% 0.55/0.73 ||#
% 0.55/0.73
% 0.55/0.73 ; Summary of computation:
% 0.55/0.73 ; 958 formulas have been input or derived (from 188 formulas).
% 0.55/0.73 ; 563 (59%) were retained. Of these,
% 0.55/0.73 ; 53 ( 9%) were simplified or subsumed later,
% 0.55/0.73 ; 510 (91%) are still being kept.
% 0.55/0.73 ;
% 0.55/0.73 ; Run time in seconds excluding printing time:
% 0.55/0.73 ; 0.027 11% Read assertion file (1 call)
% 0.55/0.73 ; 0.008 3% Assert (96 calls)
% 0.55/0.73 ; 0.036 14% Process new row (911 calls)
% 0.55/0.73 ; 0.113 45% Resolution (374 calls)
% 0.55/0.73 ; 0.001 0% Paramodulation (187 calls)
% 0.55/0.73 ; 0.002 1% Condensing (304 calls)
% 0.55/0.73 ; 0.008 3% Forward subsumption (304 calls)
% 0.55/0.73 ; 0.005 2% Backward subsumption (301 calls)
% 0.55/0.73 ; 0.000 0% Clause clause subsumption (82 calls)
% 0.55/0.73 ; 0.021 8% Forward simplification (911 calls)
% 0.55/0.73 ; 0.002 1% Backward simplification (560 calls)
% 0.55/0.73 ; 0.001 0% Ordering (323 calls)
% 0.55/0.73 ; 0.000 0% Sortal reasoning (32 calls)
% 0.55/0.73 ; 0.000 0% Purity testing (1 call)
% 0.55/0.73 ; 0.025 10% Other
% 0.55/0.73 ; 0.249 Total
% 0.55/0.73 ; 0.252 Real time
% 0.55/0.73 ;
% 0.55/0.73 ; Term-hash-array has 974 terms in all.
% 0.55/0.73 ; Feature-vector-row-index has 291 entries (291 at peak, 301 added, 10 deleted).
% 0.55/0.73 ; Feature-vector-row-index has 1,168 nodes (1,168 at peak, 1,202 added, 34 deleted).
% 0.55/0.73 ; Retrieved 143 possibly forward subsuming rows in 304 calls.
% 0.55/0.73 ; Retrieved 96 possibly backward subsumed rows in 301 calls.
% 0.55/0.73 ; Path-index has 927 entries (927 at peak, 1,008 added, 81 deleted).
% 0.55/0.73 ; Path-index has 1,618 nodes (1,618 at peak, 1,656 added, 38 deleted).
% 0.55/0.73 ; Trie-index has 927 entries (927 at peak, 1,008 added, 81 deleted).
% 0.55/0.73 ; Trie-index has 2,481 nodes (2,481 at peak, 2,586 added, 105 deleted).
% 0.55/0.73 ; Retrieved 564 generalization terms in 2,406 calls.
% 0.55/0.73 ; Retrieved 261 instance terms in 258 calls.
% 0.55/0.73 ; Retrieved 257,089 unifiable terms in 9,802 calls.
% 0.55/0.73 ;
% 0.55/0.73 ; The agenda of rows to process has 1 entry:
% 0.55/0.73 ; 1 with value 34
% 0.55/0.73 ; The agenda of input rows to give has 8 entries:
% 0.55/0.73 ; 1 with value 32 3 with value 40 3 with value 44
% 0.55/0.73 ; 1 with value 35
% 0.55/0.73 ; The agenda of rows to give has 314 entries:
% 0.55/0.73 ; 44 with value (4 5) 22 with value (4 10) 2 with value (4 17)
% 0.55/0.73 ; 2 with value (4 6) 22 with value (4 11) 18 with value (4 18)
% 0.55/0.73 ; 32 with value (4 7) 5 with value (4 12) 1 with value (4 19)
% 0.55/0.73 ; 12 with value (4 8) 40 with value (4 13) 2 with value (4 22)
% 0.55/0.73 ; 74 with value (4 9) 26 with value (4 15) 12 with value (4 25)
% 0.55/0.73 Evaluation took:
% 0.55/0.73 0.252 seconds of real time
% 0.55/0.73 0.230036 seconds of user run time
% 0.55/0.73 0.022052 seconds of system run time
% 0.55/0.73 [Run times include 0.009 seconds GC run time.]
% 0.55/0.73 0 calls to %EVAL
% 0.55/0.73 0 page faults and
% 0.55/0.73 19,314,496 bytes consed.
% 0.55/0.73 :PROOF-FOUND
% 0.55/0.73 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T23:20:38
% 0.55/0.73 :PROOF-FOUND
% 0.55/0.73 *
%------------------------------------------------------------------------------