TSTP Solution File: KRS143+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KRS143+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 : Sun Jul 17 03:28:52 EDT 2022
% Result : Theorem 0.18s 0.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 14
% Syntax : Number of clauses : 39 ( 8 unt; 23 nHn; 37 RR)
% Number of literals : 120 ( 10 equ; 52 neg)
% Maximal clause size : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 23 ( 17 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(8,axiom,
cowlThing(X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
cnf(9,axiom,
~ cowlNothing(X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
cnf(10,axiom,
( ~ xsd_string(X)
| ~ xsd_integer(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
cnf(11,axiom,
( xsd_string(X)
| xsd_integer(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
cnf(12,axiom,
( ~ cc(X)
| rp(X,'SKOLEMAAAV1'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(13,axiom,
( ~ cc(X)
| ~ rp(X,Y)
| ~ rp(X,Z)
| Y = Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
cnf(14,negated_conjecture,
( ~ cowlThing('SKOLEMAAAV2')
| cowlNothing('SKOLEMAAAV2')
| ~ xsd_string('SKOLEMAAAV3')
| xsd_integer('SKOLEMAAAV3')
| cc('SKOLEMAAAV4') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
cnf(15,plain,
( ~ xsd_string('SKOLEMAAAV3')
| xsd_integer('SKOLEMAAAV3')
| cc('SKOLEMAAAV4') ),
inference('REWRITE',[status(thm)],[14,9,8]) ).
cnf(16,negated_conjecture,
( ~ cowlThing('SKOLEMAAAV2')
| cowlNothing('SKOLEMAAAV2')
| ~ xsd_string('SKOLEMAAAV3')
| xsd_integer('SKOLEMAAAV3')
| ~ rp('SKOLEMAAAV4',X)
| rp('SKOLEMAAAV4','SKOLEMAAAV5') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
cnf(17,plain,
( ~ xsd_string('SKOLEMAAAV3')
| xsd_integer('SKOLEMAAAV3')
| ~ rp('SKOLEMAAAV4',X)
| rp('SKOLEMAAAV4','SKOLEMAAAV5') ),
inference('REWRITE',[status(thm)],[16,9,8]) ).
cnf(18,negated_conjecture,
( ~ cowlThing('SKOLEMAAAV2')
| cowlNothing('SKOLEMAAAV2')
| ~ xsd_string('SKOLEMAAAV3')
| xsd_integer('SKOLEMAAAV3')
| ~ rp('SKOLEMAAAV4',X)
| rp('SKOLEMAAAV4','SKOLEMAAAV6') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
cnf(19,plain,
( ~ xsd_string('SKOLEMAAAV3')
| xsd_integer('SKOLEMAAAV3')
| ~ rp('SKOLEMAAAV4',X)
| rp('SKOLEMAAAV4','SKOLEMAAAV6') ),
inference('REWRITE',[status(thm)],[18,9,8]) ).
cnf(20,negated_conjecture,
( ~ cowlThing('SKOLEMAAAV2')
| cowlNothing('SKOLEMAAAV2')
| ~ xsd_string('SKOLEMAAAV3')
| xsd_integer('SKOLEMAAAV3')
| ~ rp('SKOLEMAAAV4',X)
| 'SKOLEMAAAV5' != 'SKOLEMAAAV6' ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
cnf(21,plain,
( ~ xsd_string('SKOLEMAAAV3')
| xsd_integer('SKOLEMAAAV3')
| ~ rp('SKOLEMAAAV4',X)
| 'SKOLEMAAAV5' != 'SKOLEMAAAV6' ),
inference('REWRITE',[status(thm)],[20,9,8]) ).
cnf(22,negated_conjecture,
( ~ cowlThing('SKOLEMAAAV2')
| cowlNothing('SKOLEMAAAV2')
| xsd_string('SKOLEMAAAV3')
| ~ xsd_integer('SKOLEMAAAV3')
| cc('SKOLEMAAAV4') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
cnf(23,plain,
( xsd_string('SKOLEMAAAV3')
| ~ xsd_integer('SKOLEMAAAV3')
| cc('SKOLEMAAAV4') ),
inference('REWRITE',[status(thm)],[22,9,8]) ).
cnf(24,negated_conjecture,
( ~ cowlThing('SKOLEMAAAV2')
| cowlNothing('SKOLEMAAAV2')
| xsd_string('SKOLEMAAAV3')
| ~ xsd_integer('SKOLEMAAAV3')
| ~ rp('SKOLEMAAAV4',X)
| rp('SKOLEMAAAV4','SKOLEMAAAV5') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
cnf(25,plain,
( xsd_string('SKOLEMAAAV3')
| ~ xsd_integer('SKOLEMAAAV3')
| ~ rp('SKOLEMAAAV4',X)
| rp('SKOLEMAAAV4','SKOLEMAAAV5') ),
inference('REWRITE',[status(thm)],[24,9,8]) ).
cnf(26,negated_conjecture,
( ~ cowlThing('SKOLEMAAAV2')
| cowlNothing('SKOLEMAAAV2')
| xsd_string('SKOLEMAAAV3')
| ~ xsd_integer('SKOLEMAAAV3')
| ~ rp('SKOLEMAAAV4',X)
| rp('SKOLEMAAAV4','SKOLEMAAAV6') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
cnf(27,plain,
( xsd_string('SKOLEMAAAV3')
| ~ xsd_integer('SKOLEMAAAV3')
| ~ rp('SKOLEMAAAV4',X)
| rp('SKOLEMAAAV4','SKOLEMAAAV6') ),
inference('REWRITE',[status(thm)],[26,9,8]) ).
cnf(28,negated_conjecture,
( ~ cowlThing('SKOLEMAAAV2')
| cowlNothing('SKOLEMAAAV2')
| xsd_string('SKOLEMAAAV3')
| ~ xsd_integer('SKOLEMAAAV3')
| ~ rp('SKOLEMAAAV4',X)
| 'SKOLEMAAAV5' != 'SKOLEMAAAV6' ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
cnf(29,plain,
( xsd_string('SKOLEMAAAV3')
| ~ xsd_integer('SKOLEMAAAV3')
| ~ rp('SKOLEMAAAV4',X)
| 'SKOLEMAAAV5' != 'SKOLEMAAAV6' ),
inference('REWRITE',[status(thm)],[28,9,8]) ).
cnf(30,plain,
( xsd_integer('SKOLEMAAAV3')
| cc('SKOLEMAAAV4') ),
inference('HYPERRESOLVE',[status(thm)],[15,11]) ).
cnf(31,plain,
( cc('SKOLEMAAAV4')
| xsd_string('SKOLEMAAAV3') ),
inference('HYPERRESOLVE',[status(thm)],[23,30]) ).
cnf(32,plain,
cc('SKOLEMAAAV4'),
inference('HYPERRESOLVE',[status(thm)],[10,31,30]) ).
cnf(33,plain,
rp('SKOLEMAAAV4','SKOLEMAAAV1'('SKOLEMAAAV4')),
inference('HYPERRESOLVE',[status(thm)],[12,32]) ).
cnf(34,plain,
( xsd_integer('SKOLEMAAAV3')
| rp('SKOLEMAAAV4','SKOLEMAAAV6') ),
inference('HYPERRESOLVE',[status(thm)],[19,33,11]) ).
cnf(35,plain,
( xsd_integer('SKOLEMAAAV3')
| rp('SKOLEMAAAV4','SKOLEMAAAV5') ),
inference('HYPERRESOLVE',[status(thm)],[17,33,11]) ).
cnf(37,plain,
( xsd_integer('SKOLEMAAAV3')
| 'SKOLEMAAAV5' = 'SKOLEMAAAV6' ),
inference('HYPERRESOLVE',[status(thm)],[13,35,32,34]) ).
cnf(39,plain,
( 'SKOLEMAAAV5' = 'SKOLEMAAAV6'
| xsd_string('SKOLEMAAAV3')
| rp('SKOLEMAAAV4','SKOLEMAAAV6') ),
inference('HYPERRESOLVE',[status(thm)],[27,37,33]) ).
cnf(40,plain,
( 'SKOLEMAAAV5' = 'SKOLEMAAAV6'
| xsd_string('SKOLEMAAAV3')
| rp('SKOLEMAAAV4','SKOLEMAAAV5') ),
inference('HYPERRESOLVE',[status(thm)],[25,37,33]) ).
cnf(46,plain,
( 'SKOLEMAAAV5' = 'SKOLEMAAAV6'
| xsd_string('SKOLEMAAAV3') ),
inference('HYPERRESOLVE',[status(thm)],[13,40,32,39]) ).
cnf(47,plain,
'SKOLEMAAAV5' = 'SKOLEMAAAV6',
inference('HYPERRESOLVE',[status(thm)],[10,46,37]) ).
cnf(48,plain,
( ~ xsd_string('SKOLEMAAAV3')
| xsd_integer('SKOLEMAAAV3')
| ~ rp('SKOLEMAAAV4',X) ),
inference('REWRITE',[status(thm)],[21,47,theory(equality)]) ).
cnf(49,plain,
( xsd_string('SKOLEMAAAV3')
| ~ xsd_integer('SKOLEMAAAV3')
| ~ rp('SKOLEMAAAV4',X) ),
inference('REWRITE',[status(thm)],[29,47,theory(equality)]) ).
cnf(50,plain,
xsd_integer('SKOLEMAAAV3'),
inference('HYPERRESOLVE',[status(thm)],[48,11,33]) ).
cnf(51,plain,
( xsd_string('SKOLEMAAAV3')
| ~ rp('SKOLEMAAAV4',X) ),
inference('REWRITE',[status(thm)],[49,50]) ).
cnf(52,plain,
xsd_string('SKOLEMAAAV3'),
inference('HYPERRESOLVE',[status(thm)],[51,33]) ).
cnf(53,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[10,50]),52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KRS143+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n021.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 : Tue Jun 7 05:19:21 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.18/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.47 *
% 0.18/0.47 *
% 0.18/0.47 #<PACKAGE "SNARK-USER">
% 0.18/0.47 *
% 0.18/0.47 SNARK-TPTP-OPTIONS
% 0.18/0.47 *
% 0.18/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.47 (USE-FACTORING :POS)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.47 *
% 0.18/0.47 "."
% 0.18/0.47 *
% 0.18/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T05:19:21
% 0.18/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-07T05:19:21
% 0.18/0.51
% 0.18/0.51
% 0.18/0.51 #||
% 0.18/0.51 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.51 % SZS output start Refutation
% See solution above
% 0.18/0.52 ||#
% 0.18/0.52
% 0.18/0.52 ; Summary of computation:
% 0.18/0.52 ; 146 formulas have been input or derived (from 35 formulas).
% 0.18/0.52 ; 53 (36%) were retained. Of these,
% 0.18/0.52 ; 36 (68%) were simplified or subsumed later,
% 0.18/0.52 ; 17 (32%) are still being kept.
% 0.18/0.52 ;
% 0.18/0.52 ; Run time in seconds excluding printing time:
% 0.18/0.52 ; 0.003 8% Read assertion file (1 call)
% 0.18/0.52 ; 0.002 5% Assert (12 calls)
% 0.18/0.52 ; 0.002 5% Process new row (103 calls)
% 0.18/0.52 ; 0.004 10% Resolution (68 calls)
% 0.18/0.52 ; 0.000 0% Paramodulation (34 calls)
% 0.18/0.52 ; 0.000 0% Factoring (11 calls)
% 0.18/0.52 ; 0.001 2% Condensing (63 calls)
% 0.18/0.52 ; 0.003 8% Forward subsumption (63 calls)
% 0.18/0.52 ; 0.000 0% Backward subsumption (37 calls)
% 0.18/0.52 ; 0.000 0% Clause clause subsumption (45 calls)
% 0.18/0.52 ; 0.002 5% Forward simplification (86 calls)
% 0.18/0.52 ; 0.001 2% Backward simplification (45 calls)
% 0.18/0.52 ; 0.000 0% Ordering (51 calls)
% 0.18/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.52 ; 0.000 0% Purity testing (1 call)
% 0.18/0.52 ; 0.022 55% Other
% 0.18/0.52 ; 0.040 Total
% 0.18/0.52 ; 0.045 Real time
% 0.18/0.52 ;
% 0.18/0.52 ; Term-hash-array has 30 terms in all.
% 0.18/0.52 ; Feature-vector-row-index has 9 entries (25 at peak, 37 added, 28 deleted).
% 0.18/0.52 ; Feature-vector-row-index has 19 nodes (92 at peak, 150 added, 131 deleted).
% 0.18/0.52 ; Retrieved 77 possibly forward subsuming rows in 63 calls.
% 0.18/0.52 ; Retrieved 12 possibly backward subsumed rows in 37 calls.
% 0.18/0.52 ; Path-index has 28 entries (33 at peak, 36 added, 8 deleted).
% 0.18/0.52 ; Path-index has 36 nodes (39 at peak, 39 added, 3 deleted).
% 0.18/0.52 ; Trie-index has 28 entries (33 at peak, 36 added, 8 deleted).
% 0.18/0.52 ; Trie-index has 35 nodes (42 at peak, 43 added, 8 deleted).
% 0.18/0.52 ; Retrieved 21 generalization terms in 51 calls.
% 0.18/0.52 ; Retrieved 9 instance terms in 7 calls.
% 0.18/0.52 ; Retrieved 745 unifiable terms in 309 calls.
% 0.18/0.52 ;
% 0.18/0.52 ; The agenda of rows to process has 1 entry:
% 0.18/0.52 ; 1 with value 9
% 0.18/0.52 ; The agenda of rows to give has 2 entries:
% 0.18/0.52 ; 1 with value (4 8) 1 with value (4 13)
% 0.18/0.52 Evaluation took:
% 0.18/0.52 0.046 seconds of real time
% 0.18/0.52 0.038854 seconds of user run time
% 0.18/0.52 0.007083 seconds of system run time
% 0.18/0.52 0 calls to %EVAL
% 0.18/0.52 0 page faults and
% 0.18/0.52 4,965,840 bytes consed.
% 0.18/0.52 :PROOF-FOUND
% 0.18/0.52 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T05:19:21
% 0.18/0.52 :PROOF-FOUND
% 0.18/0.52 *
%------------------------------------------------------------------------------