TSTP Solution File: KRS172+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KRS172+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 03:29:08 EDT 2022
% Result : Theorem 0.17s 0.49s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 14
% Syntax : Number of clauses : 38 ( 9 unt; 18 nHn; 36 RR)
% Number of literals : 102 ( 8 equ; 33 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 16 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(10,axiom,
cowlThing(X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
cnf(11,axiom,
~ cowlNothing(X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
cnf(12,axiom,
( ~ xsd_string(X)
| ~ xsd_integer(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
cnf(13,axiom,
( xsd_string(X)
| xsd_integer(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
cnf(14,axiom,
( ~ cd(X)
| rq(X,iv) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
cnf(16,axiom,
( ~ cd(X)
| rp(X,iv) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
cnf(18,axiom,
( ~ rp(X,Y)
| ~ rp(X,Z)
| Y = Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
cnf(19,axiom,
( ~ rp(X,Y)
| cd(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
cnf(20,axiom,
( ~ rq(X,Y)
| ~ rq(X,Z)
| Y = Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
cnf(21,axiom,
( ~ rq(X,Y)
| cd(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
cnf(22,negated_conjecture,
( ~ cowlThing('SKOLEMAAAU1')
| cowlNothing('SKOLEMAAAU1')
| ~ xsd_string('SKOLEMAAAU2')
| xsd_integer('SKOLEMAAAU2')
| ~ rq('SKOLEMAAAU3','SKOLEMAAAU4')
| ~ rp('SKOLEMAAAU3','SKOLEMAAAU4') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
cnf(23,plain,
( ~ xsd_string('SKOLEMAAAU2')
| xsd_integer('SKOLEMAAAU2')
| ~ rq('SKOLEMAAAU3','SKOLEMAAAU4')
| ~ rp('SKOLEMAAAU3','SKOLEMAAAU4') ),
inference('REWRITE',[status(thm)],[22,11,10]) ).
cnf(24,negated_conjecture,
( ~ cowlThing('SKOLEMAAAU1')
| cowlNothing('SKOLEMAAAU1')
| ~ xsd_string('SKOLEMAAAU2')
| xsd_integer('SKOLEMAAAU2')
| rq('SKOLEMAAAU3','SKOLEMAAAU4')
| rp('SKOLEMAAAU3','SKOLEMAAAU4') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
cnf(25,plain,
( ~ xsd_string('SKOLEMAAAU2')
| xsd_integer('SKOLEMAAAU2')
| rq('SKOLEMAAAU3','SKOLEMAAAU4')
| rp('SKOLEMAAAU3','SKOLEMAAAU4') ),
inference('REWRITE',[status(thm)],[24,11,10]) ).
cnf(26,negated_conjecture,
( ~ cowlThing('SKOLEMAAAU1')
| cowlNothing('SKOLEMAAAU1')
| xsd_string('SKOLEMAAAU2')
| ~ xsd_integer('SKOLEMAAAU2')
| ~ rq('SKOLEMAAAU3','SKOLEMAAAU4')
| ~ rp('SKOLEMAAAU3','SKOLEMAAAU4') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
cnf(27,plain,
( xsd_string('SKOLEMAAAU2')
| ~ xsd_integer('SKOLEMAAAU2')
| ~ rq('SKOLEMAAAU3','SKOLEMAAAU4')
| ~ rp('SKOLEMAAAU3','SKOLEMAAAU4') ),
inference('REWRITE',[status(thm)],[26,11,10]) ).
cnf(28,negated_conjecture,
( ~ cowlThing('SKOLEMAAAU1')
| cowlNothing('SKOLEMAAAU1')
| xsd_string('SKOLEMAAAU2')
| ~ xsd_integer('SKOLEMAAAU2')
| rq('SKOLEMAAAU3','SKOLEMAAAU4')
| rp('SKOLEMAAAU3','SKOLEMAAAU4') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
cnf(29,plain,
( xsd_string('SKOLEMAAAU2')
| ~ xsd_integer('SKOLEMAAAU2')
| rq('SKOLEMAAAU3','SKOLEMAAAU4')
| rp('SKOLEMAAAU3','SKOLEMAAAU4') ),
inference('REWRITE',[status(thm)],[28,11,10]) ).
cnf(30,plain,
( xsd_integer('SKOLEMAAAU2')
| rq('SKOLEMAAAU3','SKOLEMAAAU4')
| rp('SKOLEMAAAU3','SKOLEMAAAU4') ),
inference('HYPERRESOLVE',[status(thm)],[25,13]) ).
cnf(31,plain,
( xsd_integer('SKOLEMAAAU2')
| rp('SKOLEMAAAU3','SKOLEMAAAU4')
| cd('SKOLEMAAAU3') ),
inference('HYPERRESOLVE',[status(thm)],[21,30]) ).
cnf(32,plain,
( xsd_integer('SKOLEMAAAU2')
| cd('SKOLEMAAAU3') ),
inference('HYPERRESOLVE',[status(thm)],[19,31]) ).
cnf(33,plain,
( cd('SKOLEMAAAU3')
| xsd_string('SKOLEMAAAU2')
| rq('SKOLEMAAAU3','SKOLEMAAAU4')
| rp('SKOLEMAAAU3','SKOLEMAAAU4') ),
inference('HYPERRESOLVE',[status(thm)],[29,32]) ).
cnf(34,plain,
( cd('SKOLEMAAAU3')
| xsd_string('SKOLEMAAAU2')
| rp('SKOLEMAAAU3','SKOLEMAAAU4') ),
inference('HYPERRESOLVE',[status(thm)],[21,33]) ).
cnf(35,plain,
( cd('SKOLEMAAAU3')
| xsd_string('SKOLEMAAAU2') ),
inference('HYPERRESOLVE',[status(thm)],[19,34]) ).
cnf(36,plain,
cd('SKOLEMAAAU3'),
inference('HYPERRESOLVE',[status(thm)],[12,35,32]) ).
cnf(37,plain,
rp('SKOLEMAAAU3',iv),
inference('HYPERRESOLVE',[status(thm)],[16,36]) ).
cnf(38,plain,
rq('SKOLEMAAAU3',iv),
inference('HYPERRESOLVE',[status(thm)],[14,36]) ).
cnf(39,plain,
( xsd_integer('SKOLEMAAAU2')
| rp('SKOLEMAAAU3','SKOLEMAAAU4')
| 'SKOLEMAAAU4' = iv ),
inference('HYPERRESOLVE',[status(thm)],[20,38,30]) ).
cnf(40,plain,
( xsd_integer('SKOLEMAAAU2')
| 'SKOLEMAAAU4' = iv ),
inference('HYPERRESOLVE',[status(thm)],[18,39,37]) ).
cnf(41,plain,
( 'SKOLEMAAAU4' = iv
| xsd_string('SKOLEMAAAU2')
| rq('SKOLEMAAAU3','SKOLEMAAAU4')
| rp('SKOLEMAAAU3','SKOLEMAAAU4') ),
inference('HYPERRESOLVE',[status(thm)],[29,40]) ).
cnf(42,plain,
( 'SKOLEMAAAU4' = iv
| xsd_string('SKOLEMAAAU2')
| rp('SKOLEMAAAU3','SKOLEMAAAU4') ),
inference('HYPERRESOLVE',[status(thm)],[20,41,38]) ).
cnf(43,plain,
( 'SKOLEMAAAU4' = iv
| xsd_string('SKOLEMAAAU2') ),
inference('HYPERRESOLVE',[status(thm)],[18,42,37]) ).
cnf(44,plain,
'SKOLEMAAAU4' = iv,
inference('HYPERRESOLVE',[status(thm)],[12,43,40]) ).
cnf(45,plain,
( ~ xsd_string('SKOLEMAAAU2')
| xsd_integer('SKOLEMAAAU2') ),
inference('REWRITE',[status(thm)],[23,37,38,44,theory(equality)]) ).
cnf(46,plain,
( xsd_string('SKOLEMAAAU2')
| ~ xsd_integer('SKOLEMAAAU2') ),
inference('REWRITE',[status(thm)],[27,37,38,44,theory(equality)]) ).
cnf(47,plain,
xsd_integer('SKOLEMAAAU2'),
inference('HYPERRESOLVE',[status(thm)],[45,13]) ).
cnf(48,plain,
xsd_string('SKOLEMAAAU2'),
inference('REWRITE',[status(thm)],[46,47]) ).
cnf(49,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[12,48]),47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : KRS172+1 : TPTP v8.1.0. Released v3.1.0.
% 0.06/0.11 % Command : run-snark %s %d
% 0.11/0.32 % Computer : n023.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Tue Jun 7 09:06:23 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.17/0.43 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.44 *
% 0.17/0.44 *
% 0.17/0.45 #<PACKAGE "SNARK-USER">
% 0.17/0.45 *
% 0.17/0.45 SNARK-TPTP-OPTIONS
% 0.17/0.45 *
% 0.17/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.17/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.17/0.45 (USE-FACTORING :POS)
% 0.17/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.17/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.17/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.17/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.17/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.17/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.17/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.17/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.17/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.17/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.17/0.45 *
% 0.17/0.45 "."
% 0.17/0.45 *
% 0.17/0.45 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-07T09:06:24
% 0.17/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-07T09:06:24
% 0.17/0.49
% 0.17/0.49
% 0.17/0.49 #||
% 0.17/0.49 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.49 % SZS output start Refutation
% See solution above
% 0.17/0.49 ||#
% 0.17/0.49
% 0.17/0.49 ; Summary of computation:
% 0.17/0.49 ; 133 formulas have been input or derived (from 38 formulas).
% 0.17/0.49 ; 49 (37%) were retained. Of these,
% 0.17/0.49 ; 25 (51%) were simplified or subsumed later,
% 0.17/0.49 ; 24 (49%) are still being kept.
% 0.17/0.49 ;
% 0.17/0.49 ; Run time in seconds excluding printing time:
% 0.17/0.49 ; 0.004 10% Read assertion file (1 call)
% 0.17/0.49 ; 0.001 2% Assert (19 calls)
% 0.17/0.49 ; 0.001 2% Process new row (102 calls)
% 0.17/0.49 ; 0.003 8% Resolution (74 calls)
% 0.17/0.49 ; 0.000 0% Paramodulation (37 calls)
% 0.17/0.49 ; 0.001 2% Factoring (12 calls)
% 0.17/0.49 ; 0.000 0% Condensing (40 calls)
% 0.17/0.49 ; 0.003 8% Forward subsumption (40 calls)
% 0.17/0.49 ; 0.000 0% Backward subsumption (36 calls)
% 0.17/0.49 ; 0.000 0% Clause clause subsumption (17 calls)
% 0.17/0.49 ; 0.002 5% Forward simplification (73 calls)
% 0.17/0.49 ; 0.001 2% Backward simplification (45 calls)
% 0.17/0.49 ; 0.000 0% Ordering (49 calls)
% 0.17/0.49 ; 0.000 0% Sortal reasoning (32 calls)
% 0.17/0.49 ; 0.000 0% Purity testing (1 call)
% 0.17/0.49 ; 0.024 60% Other
% 0.17/0.49 ; 0.040 Total
% 0.17/0.49 ; 0.043 Real time
% 0.17/0.49 ;
% 0.17/0.49 ; Term-hash-array has 32 terms in all.
% 0.17/0.49 ; Feature-vector-row-index has 15 entries (21 at peak, 36 added, 21 deleted).
% 0.17/0.49 ; Feature-vector-row-index has 26 nodes (84 at peak, 164 added, 138 deleted).
% 0.17/0.49 ; Retrieved 8 possibly forward subsuming rows in 40 calls.
% 0.17/0.49 ; Retrieved 14 possibly backward subsumed rows in 36 calls.
% 0.17/0.49 ; Path-index has 33 entries (35 at peak, 43 added, 10 deleted).
% 0.17/0.49 ; Path-index has 37 nodes (39 at peak, 46 added, 9 deleted).
% 0.17/0.49 ; Trie-index has 33 entries (35 at peak, 43 added, 10 deleted).
% 0.17/0.49 ; Trie-index has 36 nodes (38 at peak, 45 added, 9 deleted).
% 0.17/0.49 ; Retrieved 29 generalization terms in 33 calls.
% 0.17/0.49 ; Retrieved 10 instance terms in 8 calls.
% 0.17/0.49 ; Retrieved 654 unifiable terms in 284 calls.
% 0.17/0.49 ;
% 0.17/0.49 ; The agenda of rows to process has 1 entry:
% 0.17/0.49 ; 1 with value 4
% 0.17/0.49 ; The agenda of rows to give has 2 entries:
% 0.17/0.49 ; 1 with value (4 4) 1 with value (4 18)
% 0.17/0.49 Evaluation took:
% 0.17/0.49 0.043 seconds of real time
% 0.17/0.49 0.035115 seconds of user run time
% 0.17/0.49 0.007927 seconds of system run time
% 0.17/0.49 0 calls to %EVAL
% 0.17/0.49 0 page faults and
% 0.17/0.49 4,536,416 bytes consed.
% 0.17/0.49 :PROOF-FOUND
% 0.17/0.49 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-07T09:06:24
% 0.17/0.49 :PROOF-FOUND
% 0.17/0.49 *
%------------------------------------------------------------------------------