%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KRS170+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : Sun Jul 17 03:29:08 EDT 2022
% Result : Theorem 0.19s 0.48s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 14
% Syntax : Number of clauses : 46 ( 8 unt; 29 nHn; 44 RR)
% Number of literals : 141 ( 0 equ; 55 neg)
% Maximal clause size : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 8 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
cowlThing(X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
cnf(2,axiom,
~ cowlNothing(X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
cnf(3,axiom,
( ~ xsd_string(X)
| ~ xsd_integer(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
cnf(4,axiom,
( xsd_string(X)
| xsd_integer(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
cnf(5,axiom,
( ~ rhasLeader(X,Y)
| rhasHead(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
cnf(6,axiom,
( rhasLeader(X,Y)
| ~ rhasHead(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
cnf(7,negated_conjecture,
( ~ cowlThing('SKOLEMAAAP1')
| cowlNothing('SKOLEMAAAP1')
| ~ xsd_string('SKOLEMAAAP2')
| xsd_integer('SKOLEMAAAP2')
| rhasLeader('SKOLEMAAAP3','SKOLEMAAAP4')
| rhasHead('SKOLEMAAAP5','SKOLEMAAAP6') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
cnf(8,plain,
( ~ xsd_string('SKOLEMAAAP2')
| xsd_integer('SKOLEMAAAP2')
| rhasLeader('SKOLEMAAAP3','SKOLEMAAAP4')
| rhasHead('SKOLEMAAAP5','SKOLEMAAAP6') ),
inference('REWRITE',[status(thm)],[7,2,1]) ).
cnf(9,negated_conjecture,
( ~ cowlThing('SKOLEMAAAP1')
| cowlNothing('SKOLEMAAAP1')
| ~ xsd_string('SKOLEMAAAP2')
| xsd_integer('SKOLEMAAAP2')
| rhasLeader('SKOLEMAAAP3','SKOLEMAAAP4')
| ~ rhasLeader('SKOLEMAAAP5','SKOLEMAAAP6') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
cnf(10,plain,
( ~ xsd_string('SKOLEMAAAP2')
| xsd_integer('SKOLEMAAAP2')
| rhasLeader('SKOLEMAAAP3','SKOLEMAAAP4')
| ~ rhasLeader('SKOLEMAAAP5','SKOLEMAAAP6') ),
inference('REWRITE',[status(thm)],[9,2,1]) ).
cnf(11,negated_conjecture,
( ~ cowlThing('SKOLEMAAAP1')
| cowlNothing('SKOLEMAAAP1')
| ~ xsd_string('SKOLEMAAAP2')
| xsd_integer('SKOLEMAAAP2')
| ~ rhasHead('SKOLEMAAAP3','SKOLEMAAAP4')
| rhasHead('SKOLEMAAAP5','SKOLEMAAAP6') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
cnf(12,plain,
( ~ xsd_string('SKOLEMAAAP2')
| xsd_integer('SKOLEMAAAP2')
| ~ rhasHead('SKOLEMAAAP3','SKOLEMAAAP4')
| rhasHead('SKOLEMAAAP5','SKOLEMAAAP6') ),
inference('REWRITE',[status(thm)],[11,2,1]) ).
cnf(13,negated_conjecture,
( ~ cowlThing('SKOLEMAAAP1')
| cowlNothing('SKOLEMAAAP1')
| ~ xsd_string('SKOLEMAAAP2')
| xsd_integer('SKOLEMAAAP2')
| ~ rhasHead('SKOLEMAAAP3','SKOLEMAAAP4')
| ~ rhasLeader('SKOLEMAAAP5','SKOLEMAAAP6') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
cnf(14,plain,
( ~ xsd_string('SKOLEMAAAP2')
| xsd_integer('SKOLEMAAAP2')
| ~ rhasHead('SKOLEMAAAP3','SKOLEMAAAP4')
| ~ rhasLeader('SKOLEMAAAP5','SKOLEMAAAP6') ),
inference('REWRITE',[status(thm)],[13,2,1]) ).
cnf(15,negated_conjecture,
( ~ cowlThing('SKOLEMAAAP1')
| cowlNothing('SKOLEMAAAP1')
| xsd_string('SKOLEMAAAP2')
| ~ xsd_integer('SKOLEMAAAP2')
| rhasLeader('SKOLEMAAAP3','SKOLEMAAAP4')
| rhasHead('SKOLEMAAAP5','SKOLEMAAAP6') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
cnf(16,plain,
( xsd_string('SKOLEMAAAP2')
| ~ xsd_integer('SKOLEMAAAP2')
| rhasLeader('SKOLEMAAAP3','SKOLEMAAAP4')
| rhasHead('SKOLEMAAAP5','SKOLEMAAAP6') ),
inference('REWRITE',[status(thm)],[15,2,1]) ).
cnf(17,negated_conjecture,
( ~ cowlThing('SKOLEMAAAP1')
| cowlNothing('SKOLEMAAAP1')
| xsd_string('SKOLEMAAAP2')
| ~ xsd_integer('SKOLEMAAAP2')
| rhasLeader('SKOLEMAAAP3','SKOLEMAAAP4')
| ~ rhasLeader('SKOLEMAAAP5','SKOLEMAAAP6') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
cnf(18,plain,
( xsd_string('SKOLEMAAAP2')
| ~ xsd_integer('SKOLEMAAAP2')
| rhasLeader('SKOLEMAAAP3','SKOLEMAAAP4')
| ~ rhasLeader('SKOLEMAAAP5','SKOLEMAAAP6') ),
inference('REWRITE',[status(thm)],[17,2,1]) ).
cnf(19,negated_conjecture,
( ~ cowlThing('SKOLEMAAAP1')
| cowlNothing('SKOLEMAAAP1')
| xsd_string('SKOLEMAAAP2')
| ~ xsd_integer('SKOLEMAAAP2')
| ~ rhasHead('SKOLEMAAAP3','SKOLEMAAAP4')
| rhasHead('SKOLEMAAAP5','SKOLEMAAAP6') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
cnf(20,plain,
( xsd_string('SKOLEMAAAP2')
| ~ xsd_integer('SKOLEMAAAP2')
| ~ rhasHead('SKOLEMAAAP3','SKOLEMAAAP4')
| rhasHead('SKOLEMAAAP5','SKOLEMAAAP6') ),
inference('REWRITE',[status(thm)],[19,2,1]) ).
cnf(21,negated_conjecture,
( ~ cowlThing('SKOLEMAAAP1')
| cowlNothing('SKOLEMAAAP1')
| xsd_string('SKOLEMAAAP2')
| ~ xsd_integer('SKOLEMAAAP2')
| ~ rhasHead('SKOLEMAAAP3','SKOLEMAAAP4')
| ~ rhasLeader('SKOLEMAAAP5','SKOLEMAAAP6') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
cnf(22,plain,
( xsd_string('SKOLEMAAAP2')
| ~ xsd_integer('SKOLEMAAAP2')
| ~ rhasHead('SKOLEMAAAP3','SKOLEMAAAP4')
| ~ rhasLeader('SKOLEMAAAP5','SKOLEMAAAP6') ),
inference('REWRITE',[status(thm)],[21,2,1]) ).
cnf(23,plain,
( xsd_integer('SKOLEMAAAP2')
| rhasLeader('SKOLEMAAAP3','SKOLEMAAAP4')
| rhasHead('SKOLEMAAAP5','SKOLEMAAAP6') ),
inference('HYPERRESOLVE',[status(thm)],[8,4]) ).
cnf(24,plain,
( xsd_integer('SKOLEMAAAP2')
| rhasHead('SKOLEMAAAP5','SKOLEMAAAP6')
| rhasHead('SKOLEMAAAP3','SKOLEMAAAP4') ),
inference('HYPERRESOLVE',[status(thm)],[5,23]) ).
cnf(25,plain,
( xsd_integer('SKOLEMAAAP2')
| rhasHead('SKOLEMAAAP3','SKOLEMAAAP4')
| rhasLeader('SKOLEMAAAP5','SKOLEMAAAP6') ),
inference('HYPERRESOLVE',[status(thm)],[6,24]) ).
cnf(26,plain,
( xsd_integer('SKOLEMAAAP2')
| rhasHead('SKOLEMAAAP3','SKOLEMAAAP4')
| rhasLeader('SKOLEMAAAP3','SKOLEMAAAP4') ),
inference('HYPERRESOLVE',[status(thm)],[10,25,4]) ).
cnf(27,plain,
( xsd_integer('SKOLEMAAAP2')
| rhasHead('SKOLEMAAAP3','SKOLEMAAAP4') ),
inference('HYPERRESOLVE',[status(thm)],[5,26]) ).
cnf(28,plain,
( xsd_integer('SKOLEMAAAP2')
| rhasHead('SKOLEMAAAP5','SKOLEMAAAP6') ),
inference('HYPERRESOLVE',[status(thm)],[12,27,4]) ).
cnf(30,plain,
( xsd_integer('SKOLEMAAAP2')
| rhasLeader('SKOLEMAAAP5','SKOLEMAAAP6') ),
inference('HYPERRESOLVE',[status(thm)],[6,28]) ).
cnf(31,plain,
xsd_integer('SKOLEMAAAP2'),
inference('HYPERRESOLVE',[status(thm)],[14,30,4,27]) ).
cnf(32,plain,
( xsd_string('SKOLEMAAAP2')
| rhasLeader('SKOLEMAAAP3','SKOLEMAAAP4')
| rhasHead('SKOLEMAAAP5','SKOLEMAAAP6') ),
inference('REWRITE',[status(thm)],[16,31]) ).
cnf(33,plain,
( xsd_string('SKOLEMAAAP2')
| rhasLeader('SKOLEMAAAP3','SKOLEMAAAP4')
| ~ rhasLeader('SKOLEMAAAP5','SKOLEMAAAP6') ),
inference('REWRITE',[status(thm)],[18,31]) ).
cnf(34,plain,
( xsd_string('SKOLEMAAAP2')
| ~ rhasHead('SKOLEMAAAP3','SKOLEMAAAP4')
| rhasHead('SKOLEMAAAP5','SKOLEMAAAP6') ),
inference('REWRITE',[status(thm)],[20,31]) ).
cnf(35,plain,
( xsd_string('SKOLEMAAAP2')
| ~ rhasHead('SKOLEMAAAP3','SKOLEMAAAP4')
| ~ rhasLeader('SKOLEMAAAP5','SKOLEMAAAP6') ),
inference('REWRITE',[status(thm)],[22,31]) ).
cnf(36,plain,
( xsd_string('SKOLEMAAAP2')
| rhasHead('SKOLEMAAAP5','SKOLEMAAAP6')
| rhasHead('SKOLEMAAAP3','SKOLEMAAAP4') ),
inference('HYPERRESOLVE',[status(thm)],[5,32]) ).
cnf(37,plain,
~ xsd_string('SKOLEMAAAP2'),
inference('UR-RESOLVE',[status(thm)],[3,31]) ).
cnf(39,plain,
( rhasLeader('SKOLEMAAAP3','SKOLEMAAAP4')
| ~ rhasLeader('SKOLEMAAAP5','SKOLEMAAAP6') ),
inference('REWRITE',[status(thm)],[33,37]) ).
cnf(40,plain,
( ~ rhasHead('SKOLEMAAAP3','SKOLEMAAAP4')
| rhasHead('SKOLEMAAAP5','SKOLEMAAAP6') ),
inference('REWRITE',[status(thm)],[34,37]) ).
cnf(41,plain,
( ~ rhasHead('SKOLEMAAAP3','SKOLEMAAAP4')
| ~ rhasLeader('SKOLEMAAAP5','SKOLEMAAAP6') ),
inference('REWRITE',[status(thm)],[35,37]) ).
cnf(42,plain,
( rhasHead('SKOLEMAAAP5','SKOLEMAAAP6')
| rhasHead('SKOLEMAAAP3','SKOLEMAAAP4') ),
inference('REWRITE',[status(thm)],[36,37]) ).
cnf(43,plain,
( rhasHead('SKOLEMAAAP3','SKOLEMAAAP4')
| rhasLeader('SKOLEMAAAP5','SKOLEMAAAP6') ),
inference('HYPERRESOLVE',[status(thm)],[6,42]) ).
cnf(44,plain,
( rhasHead('SKOLEMAAAP3','SKOLEMAAAP4')
| rhasLeader('SKOLEMAAAP3','SKOLEMAAAP4') ),
inference('HYPERRESOLVE',[status(thm)],[39,43]) ).
cnf(45,plain,
rhasHead('SKOLEMAAAP3','SKOLEMAAAP4'),
inference('HYPERRESOLVE',[status(thm)],[5,44]) ).
cnf(46,plain,
rhasHead('SKOLEMAAAP5','SKOLEMAAAP6'),
inference('REWRITE',[status(thm)],[40,45]) ).
cnf(47,plain,
~ rhasLeader('SKOLEMAAAP5','SKOLEMAAAP6'),
inference('REWRITE',[status(thm)],[41,45]) ).
cnf(48,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[6,46]),47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KRS170+1 : TPTP v8.1.0. Released v3.1.0.
% 0.06/0.13 % 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 : Tue Jun 7 15:04:51 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-06-07T15:04:51
% 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 2022-06-07T15:04:51
% 0.19/0.48
% 0.19/0.48
% 0.19/0.48 #||
% 0.19/0.48 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.48 % SZS output start Refutation
% See solution above
% 0.19/0.48 ||#
% 0.19/0.48
% 0.19/0.48 ; Summary of computation:
% 0.19/0.48 ; 55 formulas have been input or derived (from 36 formulas).
% 0.19/0.48 ; 48 (87%) were retained. Of these,
% 0.19/0.48 ; 36 (75%) were simplified or subsumed later,
% 0.19/0.48 ; 12 (25%) are still being kept.
% 0.19/0.48 ;
% 0.19/0.48 ; Run time in seconds excluding printing time:
% 0.19/0.48 ; 0.001 5% Read assertion file (1 call)
% 0.19/0.48 ; 0.000 0% Assert (4 calls)
% 0.19/0.48 ; 0.000 0% Process new row (46 calls)
% 0.19/0.48 ; 0.001 5% Resolution (70 calls)
% 0.19/0.48 ; 0.000 0% Paramodulation (35 calls)
% 0.19/0.48 ; 0.001 5% Factoring (14 calls)
% 0.19/0.48 ; 0.000 0% Condensing (36 calls)
% 0.19/0.48 ; 0.001 5% Forward subsumption (36 calls)
% 0.19/0.48 ; 0.001 5% Backward subsumption (32 calls)
% 0.19/0.48 ; 0.000 0% Clause clause subsumption (16 calls)
% 0.19/0.48 ; 0.000 0% Forward simplification (45 calls)
% 0.19/0.48 ; 0.001 5% Backward simplification (40 calls)
% 0.19/0.48 ; 0.000 0% Ordering (37 calls)
% 0.19/0.48 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.48 ; 0.001 5% Purity testing (1 call)
% 0.19/0.48 ; 0.014 67% Other
% 0.19/0.48 ; 0.021 Total
% 0.19/0.48 ; 0.026 Real time
% 0.19/0.48 ;
% 0.19/0.48 ; Term-hash-array has 12 terms in all.
% 0.19/0.48 ; Feature-vector-row-index has 4 entries (15 at peak, 32 added, 28 deleted).
% 0.19/0.48 ; Feature-vector-row-index has 9 nodes (99 at peak, 201 added, 192 deleted).
% 0.19/0.48 ; Retrieved 6 possibly forward subsuming rows in 36 calls.
% 0.19/0.48 ; Retrieved 10 possibly backward subsumed rows in 32 calls.
% 0.19/0.48 ; Path-index has 17 entries (18 at peak, 35 added, 18 deleted).
% 0.19/0.48 ; Path-index has 33 nodes (35 at peak, 60 added, 27 deleted).
% 0.19/0.48 ; Trie-index has 17 entries (18 at peak, 35 added, 18 deleted).
% 0.19/0.48 ; Trie-index has 29 nodes (31 at peak, 56 added, 27 deleted).
% 0.19/0.48 ; Retrieved 18 generalization terms in 19 calls.
% 0.19/0.48 ; Retrieved 7 instance terms in 7 calls.
% 0.19/0.48 ; Retrieved 207 unifiable terms in 196 calls.
% 0.19/0.48 ;
% 0.19/0.48 ; The agenda of input rows to give has 1 entry:
% 0.19/0.48 ; 1 with value 4
% 0.19/0.48 ; The agenda of rows to give has 2 entries:
% 0.19/0.48 ; 1 with value (4 8) 1 with value (4 12)
% 0.19/0.48 Evaluation took:
% 0.19/0.48 0.026 seconds of real time
% 0.19/0.48 0.014793 seconds of user run time
% 0.19/0.48 0.010995 seconds of system run time
% 0.19/0.48 0 calls to %EVAL
% 0.19/0.48 0 page faults and
% 0.19/0.48 5,502,856 bytes consed.
% 0.19/0.48 :PROOF-FOUND
% 0.19/0.48 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-07T15:04:51
% 0.19/0.48 :PROOF-FOUND
% 0.19/0.48 *
%------------------------------------------------------------------------------