TSTP Solution File: KRS174+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KRS174+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n027.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 03:29:09 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 19
% Syntax : Number of clauses : 45 ( 10 unt; 20 nHn; 43 RR)
% Number of literals : 130 ( 20 equ; 50 neg)
% Maximal clause size : 7 ( 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 : 15 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( X != Y
| ~ cA_and_B(X)
| cA_and_B(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cA_and_B_substitution_1) ).
cnf(3,axiom,
( X != Y
| ~ cB(X)
| cB(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cB_substitution_1) ).
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,
( ~ cA(X)
| X = ia ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(13,axiom,
( cA(X)
| X != ia ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(14,axiom,
( ~ cA_and_B(X)
| X = ib
| X = ia ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
cnf(15,axiom,
( cA_and_B(X)
| X != ib ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
cnf(16,axiom,
( cA_and_B(X)
| X != ia ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
cnf(17,axiom,
( ~ cB(X)
| X = ib ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
cnf(18,axiom,
( cB(X)
| X != ib ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
cnf(19,negated_conjecture,
( ~ cowlThing('SKOLEMAAAV1')
| cowlNothing('SKOLEMAAAV1')
| ~ xsd_string('SKOLEMAAAV2')
| xsd_integer('SKOLEMAAAV2')
| ~ cA_and_B('SKOLEMAAAV3')
| ~ cB('SKOLEMAAAV3') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
cnf(20,plain,
( ~ xsd_string('SKOLEMAAAV2')
| xsd_integer('SKOLEMAAAV2')
| ~ cA_and_B('SKOLEMAAAV3')
| ~ cB('SKOLEMAAAV3') ),
inference('REWRITE',[status(thm)],[19,9,8]) ).
cnf(21,negated_conjecture,
( ~ cowlThing('SKOLEMAAAV1')
| cowlNothing('SKOLEMAAAV1')
| ~ xsd_string('SKOLEMAAAV2')
| xsd_integer('SKOLEMAAAV2')
| ~ cA_and_B('SKOLEMAAAV3')
| ~ cA('SKOLEMAAAV3') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
cnf(22,plain,
( ~ xsd_string('SKOLEMAAAV2')
| xsd_integer('SKOLEMAAAV2')
| ~ cA_and_B('SKOLEMAAAV3')
| ~ cA('SKOLEMAAAV3') ),
inference('REWRITE',[status(thm)],[21,9,8]) ).
cnf(23,negated_conjecture,
( ~ cowlThing('SKOLEMAAAV1')
| cowlNothing('SKOLEMAAAV1')
| ~ xsd_string('SKOLEMAAAV2')
| xsd_integer('SKOLEMAAAV2')
| cA_and_B('SKOLEMAAAV3')
| cB('SKOLEMAAAV3')
| cA('SKOLEMAAAV3') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
cnf(24,plain,
( ~ xsd_string('SKOLEMAAAV2')
| xsd_integer('SKOLEMAAAV2')
| cA_and_B('SKOLEMAAAV3')
| cB('SKOLEMAAAV3')
| cA('SKOLEMAAAV3') ),
inference('REWRITE',[status(thm)],[23,9,8]) ).
cnf(25,negated_conjecture,
( ~ cowlThing('SKOLEMAAAV1')
| cowlNothing('SKOLEMAAAV1')
| xsd_string('SKOLEMAAAV2')
| ~ xsd_integer('SKOLEMAAAV2')
| ~ cA_and_B('SKOLEMAAAV3')
| ~ cB('SKOLEMAAAV3') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
cnf(26,plain,
( xsd_string('SKOLEMAAAV2')
| ~ xsd_integer('SKOLEMAAAV2')
| ~ cA_and_B('SKOLEMAAAV3')
| ~ cB('SKOLEMAAAV3') ),
inference('REWRITE',[status(thm)],[25,9,8]) ).
cnf(27,negated_conjecture,
( ~ cowlThing('SKOLEMAAAV1')
| cowlNothing('SKOLEMAAAV1')
| xsd_string('SKOLEMAAAV2')
| ~ xsd_integer('SKOLEMAAAV2')
| ~ cA_and_B('SKOLEMAAAV3')
| ~ cA('SKOLEMAAAV3') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
cnf(28,plain,
( xsd_string('SKOLEMAAAV2')
| ~ xsd_integer('SKOLEMAAAV2')
| ~ cA_and_B('SKOLEMAAAV3')
| ~ cA('SKOLEMAAAV3') ),
inference('REWRITE',[status(thm)],[27,9,8]) ).
cnf(29,negated_conjecture,
( ~ cowlThing('SKOLEMAAAV1')
| cowlNothing('SKOLEMAAAV1')
| xsd_string('SKOLEMAAAV2')
| ~ xsd_integer('SKOLEMAAAV2')
| cA_and_B('SKOLEMAAAV3')
| cB('SKOLEMAAAV3')
| cA('SKOLEMAAAV3') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
cnf(30,plain,
( xsd_string('SKOLEMAAAV2')
| ~ xsd_integer('SKOLEMAAAV2')
| cA_and_B('SKOLEMAAAV3')
| cB('SKOLEMAAAV3')
| cA('SKOLEMAAAV3') ),
inference('REWRITE',[status(thm)],[29,9,8]) ).
cnf(31,plain,
cA(ia),
inference('HYPERRESOLVE',[status(thm)],[13,theory(equality)]) ).
cnf(32,plain,
cA_and_B(ib),
inference('HYPERRESOLVE',[status(thm)],[15,theory(equality)]) ).
cnf(33,plain,
cA_and_B(ia),
inference('HYPERRESOLVE',[status(thm)],[16,theory(equality)]) ).
cnf(34,plain,
cB(ib),
inference('HYPERRESOLVE',[status(thm)],[18,theory(equality)]) ).
cnf(35,plain,
( xsd_integer('SKOLEMAAAV2')
| cA_and_B('SKOLEMAAAV3')
| cB('SKOLEMAAAV3')
| cA('SKOLEMAAAV3') ),
inference('HYPERRESOLVE',[status(thm)],[24,11]) ).
cnf(36,plain,
( cA_and_B('SKOLEMAAAV3')
| cB('SKOLEMAAAV3')
| cA('SKOLEMAAAV3')
| xsd_string('SKOLEMAAAV2') ),
inference('HYPERRESOLVE',[status(thm)],[30,35]) ).
cnf(37,plain,
( cA_and_B('SKOLEMAAAV3')
| cB('SKOLEMAAAV3')
| cA('SKOLEMAAAV3') ),
inference('HYPERRESOLVE',[status(thm)],[10,36,35]) ).
cnf(38,plain,
( cA_and_B('SKOLEMAAAV3')
| cA('SKOLEMAAAV3')
| 'SKOLEMAAAV3' = ib ),
inference('HYPERRESOLVE',[status(thm)],[17,37]) ).
cnf(39,plain,
( cA('SKOLEMAAAV3')
| 'SKOLEMAAAV3' = ib
| 'SKOLEMAAAV3' = ia ),
inference('HYPERRESOLVE',[status(thm)],[14,38]) ).
cnf(40,plain,
( 'SKOLEMAAAV3' = ib
| 'SKOLEMAAAV3' = ia ),
inference('HYPERRESOLVE',[status(thm)],[12,39]) ).
cnf(41,plain,
( 'SKOLEMAAAV3' = ia
| cB('SKOLEMAAAV3') ),
inference('HYPERRESOLVE',[status(thm)],[3,40,34]) ).
cnf(42,plain,
( 'SKOLEMAAAV3' = ia
| cA_and_B('SKOLEMAAAV3') ),
inference('HYPERRESOLVE',[status(thm)],[2,40,32]) ).
cnf(49,plain,
( 'SKOLEMAAAV3' = ia
| xsd_integer('SKOLEMAAAV2') ),
inference('HYPERRESOLVE',[status(thm)],[20,42,11,41]) ).
cnf(50,plain,
( 'SKOLEMAAAV3' = ia
| xsd_string('SKOLEMAAAV2') ),
inference('HYPERRESOLVE',[status(thm)],[26,49,42,41]) ).
cnf(51,plain,
'SKOLEMAAAV3' = ia,
inference('HYPERRESOLVE',[status(thm)],[10,50,49]) ).
cnf(53,plain,
( ~ xsd_string('SKOLEMAAAV2')
| xsd_integer('SKOLEMAAAV2') ),
inference('REWRITE',[status(thm)],[22,31,33,51,theory(equality)]) ).
cnf(55,plain,
( xsd_string('SKOLEMAAAV2')
| ~ xsd_integer('SKOLEMAAAV2') ),
inference('REWRITE',[status(thm)],[28,31,33,51,theory(equality)]) ).
cnf(56,plain,
xsd_integer('SKOLEMAAAV2'),
inference('HYPERRESOLVE',[status(thm)],[53,11]) ).
cnf(57,plain,
xsd_string('SKOLEMAAAV2'),
inference('REWRITE',[status(thm)],[55,56]) ).
cnf(58,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[10,57]),56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : KRS174+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n027.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jun 7 12:50:25 EDT 2022
% 0.13/0.33 % 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 2022-06-07T12:50:25
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-07T12:50:25
% 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
% 0.19/0.51 ||#
% 0.19/0.51
% 0.19/0.51 ; Summary of computation:
% 0.19/0.51 ; 126 formulas have been input or derived (from 39 formulas).
% 0.19/0.51 ; 58 (46%) were retained. Of these,
% 0.19/0.51 ; 34 (59%) were simplified or subsumed later,
% 0.19/0.51 ; 24 (41%) are still being kept.
% 0.19/0.51 ;
% 0.19/0.51 ; Run time in seconds excluding printing time:
% 0.19/0.51 ; 0.003 8% Read assertion file (1 call)
% 0.19/0.51 ; 0.001 3% Assert (15 calls)
% 0.19/0.51 ; 0.006 15% Process new row (107 calls)
% 0.19/0.51 ; 0.001 3% Resolution (76 calls)
% 0.19/0.51 ; 0.001 3% Paramodulation (38 calls)
% 0.19/0.51 ; 0.000 0% Factoring (11 calls)
% 0.19/0.51 ; 0.000 0% Condensing (59 calls)
% 0.19/0.51 ; 0.002 5% Forward subsumption (59 calls)
% 0.19/0.51 ; 0.001 3% Backward subsumption (42 calls)
% 0.19/0.51 ; 0.000 0% Clause clause subsumption (34 calls)
% 0.19/0.51 ; 0.001 3% Forward simplification (99 calls)
% 0.19/0.51 ; 0.001 3% Backward simplification (52 calls)
% 0.19/0.51 ; 0.000 0% Ordering (78 calls)
% 0.19/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.51 ; 0.001 3% Purity testing (1 call)
% 0.19/0.51 ; 0.021 54% Other
% 0.19/0.51 ; 0.039 Total
% 0.19/0.51 ; 0.044 Real time
% 0.19/0.51 ;
% 0.19/0.51 ; Term-hash-array has 34 terms in all.
% 0.19/0.51 ; Feature-vector-row-index has 14 entries (27 at peak, 42 added, 28 deleted).
% 0.19/0.51 ; Feature-vector-row-index has 36 nodes (117 at peak, 214 added, 178 deleted).
% 0.19/0.51 ; Retrieved 28 possibly forward subsuming rows in 59 calls.
% 0.19/0.51 ; Retrieved 12 possibly backward subsumed rows in 42 calls.
% 0.19/0.51 ; Path-index has 27 entries (36 at peak, 49 added, 22 deleted).
% 0.19/0.51 ; Path-index has 31 nodes (39 at peak, 49 added, 18 deleted).
% 0.19/0.51 ; Trie-index has 27 entries (36 at peak, 49 added, 22 deleted).
% 0.19/0.51 ; Trie-index has 33 nodes (42 at peak, 53 added, 20 deleted).
% 0.19/0.51 ; Retrieved 47 generalization terms in 95 calls.
% 0.19/0.51 ; Retrieved 11 instance terms in 9 calls.
% 0.19/0.51 ; Retrieved 551 unifiable terms in 250 calls.
% 0.19/0.51 ;
% 0.19/0.51 ; The agenda of rows to process has 1 entry:
% 0.19/0.51 ; 1 with value 4
% 0.19/0.51 ; The agenda of rows to give has 2 entries:
% 0.19/0.51 ; 1 with value (4 4) 1 with value (4 14)
% 0.19/0.51 Evaluation took:
% 0.19/0.51 0.044 seconds of real time
% 0.19/0.51 0.039125 seconds of user run time
% 0.19/0.51 0.005199 seconds of system run time
% 0.19/0.51 0 calls to %EVAL
% 0.19/0.51 0 page faults and
% 0.19/0.51 4,921,920 bytes consed.
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T12:50:25
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 *
%------------------------------------------------------------------------------