TSTP Solution File: PUZ001+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : PUZ001+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 : Mon Jul 18 18:26:21 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of clauses : 27 ( 17 unt; 6 nHn; 24 RR)
% Number of literals : 42 ( 16 equ; 16 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 19 ( 19 usr; 13 con; 0-2 aty)
% Number of variables : 23 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
predicate1('SKOLEMAAAV2',live,'SKOLEMAAAV1'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',background) ).
cnf(2,axiom,
modifier_pp('SKOLEMAAAV2',in,'DreadburyMansion'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',background) ).
cnf(3,axiom,
predicate2('SKOLEMAAAV3',kill,'SKOLEMAAAV1','AuntAgatha'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',background) ).
cnf(4,axiom,
( ~ predicate1(X,live,Y)
| ~ modifier_pp(X,in,'DreadburyMansion')
| Y = 'AuntAgatha'
| Y = 'Butler'
| Y = 'Charles' ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',background) ).
cnf(5,axiom,
( ~ predicate2(X,kill,Y,Z)
| predicate2('SKOLEMAAAV4'(Y,Z),hate,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',background) ).
cnf(6,axiom,
( ~ predicate2(X,kill,Y,Z)
| ~ property2(U,rich,comp_than,Z)
| Y != U ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',background) ).
cnf(7,axiom,
( ~ predicate2(X,hate,'AuntAgatha',Y)
| ~ predicate2(Z,hate,'Charles',Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',background) ).
cnf(9,axiom,
( X = 'Butler'
| predicate2('SKOLEMAAAV5'(X),hate,'AuntAgatha',X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',background) ).
cnf(10,axiom,
( property2('SKOLEMAAAV6'(X),rich,comp_than,'AuntAgatha')
| predicate2('SKOLEMAAAV7'(X),hate,'Butler',X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',background) ).
cnf(11,axiom,
( X = 'SKOLEMAAAV6'(X)
| predicate2('SKOLEMAAAV7'(X),hate,'Butler',X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',background) ).
cnf(12,axiom,
( ~ predicate2(X,hate,'AuntAgatha',Y)
| predicate2('SKOLEMAAAV8'(Y),hate,'Butler',Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',background) ).
cnf(13,axiom,
~ predicate2(X,hate,Y,'SKOLEMAAAV9'(Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',background) ).
cnf(14,axiom,
'AuntAgatha' != 'Butler',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',background) ).
cnf(15,negated_conjecture,
~ predicate2(X,kill,'AuntAgatha','AuntAgatha'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove) ).
cnf(17,plain,
predicate2('SKOLEMAAAV5'('AuntAgatha'),hate,'AuntAgatha','AuntAgatha'),
inference('UR-RESOLVE',[status(thm)],[9,14]) ).
cnf(18,plain,
'SKOLEMAAAV9'('Butler') = 'SKOLEMAAAV6'('SKOLEMAAAV9'('Butler')),
inference('HYPERRESOLVE',[status(thm)],[13,11]) ).
cnf(19,plain,
~ predicate2(X,hate,'AuntAgatha','SKOLEMAAAV9'('Butler')),
inference('UR-RESOLVE',[status(thm)],[12,13]) ).
cnf(25,plain,
property2('SKOLEMAAAV9'('Butler'),rich,comp_than,'AuntAgatha'),
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[10,13]),18,theory(equality)]) ).
cnf(26,plain,
( 'SKOLEMAAAV1' = 'AuntAgatha'
| 'SKOLEMAAAV1' = 'Butler'
| 'SKOLEMAAAV1' = 'Charles' ),
inference('HYPERRESOLVE',[status(thm)],[4,1,2]) ).
cnf(27,plain,
~ predicate2(X,hate,'Charles','AuntAgatha'),
inference('UR-RESOLVE',[status(thm)],[7,17]) ).
cnf(29,plain,
~ predicate2(X,kill,'Charles','AuntAgatha'),
inference('UR-RESOLVE',[status(thm)],[5,27]) ).
cnf(30,plain,
'SKOLEMAAAV9'('Butler') = 'Butler',
inference('HYPERRESOLVE',[status(thm)],[19,9]) ).
cnf(32,plain,
property2('Butler',rich,comp_than,'AuntAgatha'),
inference('REWRITE',[status(thm)],[25,30,theory(equality)]) ).
cnf(33,plain,
'SKOLEMAAAV1' != 'Butler',
inference('UR-RESOLVE',[status(thm)],[6,32,3]) ).
cnf(34,plain,
( 'SKOLEMAAAV1' = 'AuntAgatha'
| 'SKOLEMAAAV1' = 'Charles' ),
inference('REWRITE',[status(thm)],[26,33]) ).
cnf(42,plain,
'SKOLEMAAAV1' = 'AuntAgatha',
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3,34,theory(equality)]),29]) ).
cnf(44,plain,
$false,
inference('REWRITE',[status(thm)],[3,15,42,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PUZ001+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n018.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 May 29 00:39:25 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-29T00:39:25
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-05-29T00:39:25
% 0.19/0.50
% 0.19/0.50
% 0.19/0.50 #||
% 0.19/0.50 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.50 % SZS output start Refutation
% See solution above
% 0.19/0.50 ||#
% 0.19/0.50
% 0.19/0.50 ; Summary of computation:
% 0.19/0.50 ; 71 formulas have been input or derived (from 30 formulas).
% 0.19/0.50 ; 44 (62%) were retained. Of these,
% 0.19/0.50 ; 14 (32%) were simplified or subsumed later,
% 0.19/0.50 ; 30 (68%) are still being kept.
% 0.19/0.50 ;
% 0.19/0.50 ; Run time in seconds excluding printing time:
% 0.19/0.50 ; 0.003 9% Read assertion file (1 call)
% 0.19/0.50 ; 0.001 3% Assert (2 calls)
% 0.19/0.50 ; 0.003 9% Process new row (56 calls)
% 0.19/0.50 ; 0.003 9% Resolution (58 calls)
% 0.19/0.50 ; 0.000 0% Paramodulation (29 calls)
% 0.19/0.50 ; 0.000 0% Factoring (4 calls)
% 0.19/0.50 ; 0.001 3% Condensing (14 calls)
% 0.19/0.50 ; 0.001 3% Forward subsumption (14 calls)
% 0.19/0.50 ; 0.001 3% Backward subsumption (14 calls)
% 0.19/0.50 ; 0.000 0% Forward simplification (55 calls)
% 0.19/0.50 ; 0.000 0% Backward simplification (44 calls)
% 0.19/0.50 ; 0.000 0% Ordering (68 calls)
% 0.19/0.50 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.50 ; 0.000 0% Purity testing (1 call)
% 0.19/0.50 ; 0.021 62% Other
% 0.19/0.50 ; 0.034 Total
% 0.19/0.50 ; 0.039 Real time
% 0.19/0.50 ;
% 0.19/0.50 ; Term-hash-array has 66 terms in all.
% 0.19/0.50 ; Feature-vector-row-index has 9 entries (13 at peak, 14 added, 5 deleted).
% 0.19/0.50 ; Feature-vector-row-index has 54 nodes (81 at peak, 87 added, 33 deleted).
% 0.19/0.50 ; Retrieved 0 possibly forward subsuming rows in 14 calls.
% 0.19/0.50 ; Retrieved 0 possibly backward subsumed rows in 14 calls.
% 0.19/0.50 ; Path-index has 62 entries (74 at peak, 81 added, 19 deleted).
% 0.19/0.50 ; Path-index has 108 nodes (121 at peak, 127 added, 19 deleted).
% 0.19/0.50 ; Trie-index has 62 entries (74 at peak, 81 added, 19 deleted).
% 0.19/0.50 ; Trie-index has 135 nodes (165 at peak, 182 added, 47 deleted).
% 0.19/0.50 ; Retrieved 14 generalization terms in 72 calls.
% 0.19/0.50 ; Retrieved 29 instance terms in 29 calls.
% 0.19/0.50 ; Retrieved 217 unifiable terms in 221 calls.
% 0.19/0.50 ;
% 0.19/0.50 ; The agenda of backward simplifiable rows to process has 8 entries:
% 0.19/0.50 ; 8 with value 0
% 0.19/0.50 ; The agenda of rows to process has 1 entry:
% 0.19/0.50 ; 1 with value 14
% 0.19/0.50 ; The agenda of input rows to give has 1 entry:
% 0.19/0.50 ; 1 with value 5
% 0.19/0.50 ; The agenda of rows to give has 5 entries:
% 0.19/0.50 ; 1 with value (4 6) 1 with value (4 10) 1 with value (4 13)
% 0.19/0.50 ; 2 with value (4 9)
% 0.19/0.50 Evaluation took:
% 0.19/0.50 0.039 seconds of real time
% 0.19/0.50 0.03365 seconds of user run time
% 0.19/0.50 0.004902 seconds of system run time
% 0.19/0.50 0 calls to %EVAL
% 0.19/0.50 0 page faults and
% 0.19/0.50 3,446,960 bytes consed.
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-29T00:39:25
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 *
%------------------------------------------------------------------------------