%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KRS175+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n032.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 0.13s 0.41s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 18
% Syntax : Number of clauses : 43 ( 10 unt; 19 nHn; 41 RR)
% Number of literals : 138 ( 37 equ; 60 neg)
% Maximal clause size : 9 ( 3 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 : 13 ( 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(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)
| cA(X)
| cB(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
cnf(15,axiom,
( cA_and_B(X)
| ~ cA(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
cnf(16,axiom,
( cA_and_B(X)
| ~ cB(X) ),
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('SKOLEMAAAP1')
| cowlNothing('SKOLEMAAAP1')
| ~ xsd_string('SKOLEMAAAP2')
| xsd_integer('SKOLEMAAAP2')
| ~ cA_and_B('SKOLEMAAAP3')
| 'SKOLEMAAAP3' != ib
| ~ cowlThing(ia)
| ~ cowlThing(ib) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
cnf(20,plain,
( ~ xsd_string('SKOLEMAAAP2')
| xsd_integer('SKOLEMAAAP2')
| ~ cA_and_B('SKOLEMAAAP3')
| 'SKOLEMAAAP3' != ib ),
inference('REWRITE',[status(thm)],[19,9,8]) ).
cnf(21,negated_conjecture,
( ~ cowlThing('SKOLEMAAAP1')
| cowlNothing('SKOLEMAAAP1')
| ~ xsd_string('SKOLEMAAAP2')
| xsd_integer('SKOLEMAAAP2')
| ~ cA_and_B('SKOLEMAAAP3')
| 'SKOLEMAAAP3' != ia
| ~ cowlThing(ia)
| ~ cowlThing(ib) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
cnf(22,plain,
( ~ xsd_string('SKOLEMAAAP2')
| xsd_integer('SKOLEMAAAP2')
| ~ cA_and_B('SKOLEMAAAP3')
| 'SKOLEMAAAP3' != ia ),
inference('REWRITE',[status(thm)],[21,9,8]) ).
cnf(23,negated_conjecture,
( ~ cowlThing('SKOLEMAAAP1')
| cowlNothing('SKOLEMAAAP1')
| ~ xsd_string('SKOLEMAAAP2')
| xsd_integer('SKOLEMAAAP2')
| cA_and_B('SKOLEMAAAP3')
| 'SKOLEMAAAP3' = ib
| 'SKOLEMAAAP3' = ia
| ~ cowlThing(ia)
| ~ cowlThing(ib) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
cnf(24,plain,
( ~ xsd_string('SKOLEMAAAP2')
| xsd_integer('SKOLEMAAAP2')
| cA_and_B('SKOLEMAAAP3')
| 'SKOLEMAAAP3' = ib
| 'SKOLEMAAAP3' = ia ),
inference('REWRITE',[status(thm)],[23,9,8]) ).
cnf(25,negated_conjecture,
( ~ cowlThing('SKOLEMAAAP1')
| cowlNothing('SKOLEMAAAP1')
| xsd_string('SKOLEMAAAP2')
| ~ xsd_integer('SKOLEMAAAP2')
| ~ cA_and_B('SKOLEMAAAP3')
| 'SKOLEMAAAP3' != ib
| ~ cowlThing(ia)
| ~ cowlThing(ib) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
cnf(26,plain,
( xsd_string('SKOLEMAAAP2')
| ~ xsd_integer('SKOLEMAAAP2')
| ~ cA_and_B('SKOLEMAAAP3')
| 'SKOLEMAAAP3' != ib ),
inference('REWRITE',[status(thm)],[25,9,8]) ).
cnf(27,negated_conjecture,
( ~ cowlThing('SKOLEMAAAP1')
| cowlNothing('SKOLEMAAAP1')
| xsd_string('SKOLEMAAAP2')
| ~ xsd_integer('SKOLEMAAAP2')
| ~ cA_and_B('SKOLEMAAAP3')
| 'SKOLEMAAAP3' != ia
| ~ cowlThing(ia)
| ~ cowlThing(ib) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
cnf(28,plain,
( xsd_string('SKOLEMAAAP2')
| ~ xsd_integer('SKOLEMAAAP2')
| ~ cA_and_B('SKOLEMAAAP3')
| 'SKOLEMAAAP3' != ia ),
inference('REWRITE',[status(thm)],[27,9,8]) ).
cnf(29,negated_conjecture,
( ~ cowlThing('SKOLEMAAAP1')
| cowlNothing('SKOLEMAAAP1')
| xsd_string('SKOLEMAAAP2')
| ~ xsd_integer('SKOLEMAAAP2')
| cA_and_B('SKOLEMAAAP3')
| 'SKOLEMAAAP3' = ib
| 'SKOLEMAAAP3' = ia
| ~ cowlThing(ia)
| ~ cowlThing(ib) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
cnf(30,plain,
( xsd_string('SKOLEMAAAP2')
| ~ xsd_integer('SKOLEMAAAP2')
| cA_and_B('SKOLEMAAAP3')
| 'SKOLEMAAAP3' = ib
| 'SKOLEMAAAP3' = ia ),
inference('REWRITE',[status(thm)],[29,9,8]) ).
cnf(31,plain,
cA(ia),
inference('HYPERRESOLVE',[status(thm)],[13,theory(equality)]) ).
cnf(32,plain,
cB(ib),
inference('HYPERRESOLVE',[status(thm)],[18,theory(equality)]) ).
cnf(33,plain,
( xsd_integer('SKOLEMAAAP2')
| cA_and_B('SKOLEMAAAP3')
| 'SKOLEMAAAP3' = ib
| 'SKOLEMAAAP3' = ia ),
inference('HYPERRESOLVE',[status(thm)],[24,11]) ).
cnf(34,plain,
cA_and_B(ia),
inference('HYPERRESOLVE',[status(thm)],[15,31]) ).
cnf(35,plain,
cA_and_B(ib),
inference('HYPERRESOLVE',[status(thm)],[16,32]) ).
cnf(36,plain,
( cA_and_B('SKOLEMAAAP3')
| 'SKOLEMAAAP3' = ib
| 'SKOLEMAAAP3' = ia
| xsd_string('SKOLEMAAAP2') ),
inference('HYPERRESOLVE',[status(thm)],[30,33]) ).
cnf(37,plain,
( cA_and_B('SKOLEMAAAP3')
| 'SKOLEMAAAP3' = ib
| 'SKOLEMAAAP3' = ia ),
inference('HYPERRESOLVE',[status(thm)],[10,36,33]) ).
cnf(38,plain,
( 'SKOLEMAAAP3' = ib
| 'SKOLEMAAAP3' = ia
| cA('SKOLEMAAAP3')
| cB('SKOLEMAAAP3') ),
inference('HYPERRESOLVE',[status(thm)],[14,37]) ).
cnf(39,plain,
( 'SKOLEMAAAP3' = ib
| 'SKOLEMAAAP3' = ia
| cA('SKOLEMAAAP3') ),
inference('HYPERRESOLVE',[status(thm)],[17,38]) ).
cnf(40,plain,
( 'SKOLEMAAAP3' = ib
| 'SKOLEMAAAP3' = ia ),
inference('HYPERRESOLVE',[status(thm)],[12,39]) ).
cnf(42,plain,
( 'SKOLEMAAAP3' = ia
| cA_and_B('SKOLEMAAAP3') ),
inference('HYPERRESOLVE',[status(thm)],[2,40,35]) ).
cnf(49,plain,
( 'SKOLEMAAAP3' = ia
| xsd_integer('SKOLEMAAAP2') ),
inference('HYPERRESOLVE',[status(thm)],[20,42,11,40]) ).
cnf(50,plain,
( 'SKOLEMAAAP3' = ia
| xsd_string('SKOLEMAAAP2') ),
inference('HYPERRESOLVE',[status(thm)],[26,49,42,40]) ).
cnf(51,plain,
'SKOLEMAAAP3' = ia,
inference('HYPERRESOLVE',[status(thm)],[10,50,49]) ).
cnf(53,plain,
( ~ xsd_string('SKOLEMAAAP2')
| xsd_integer('SKOLEMAAAP2') ),
inference('REWRITE',[status(thm)],[22,34,51,theory(equality)]) ).
cnf(55,plain,
( xsd_string('SKOLEMAAAP2')
| ~ xsd_integer('SKOLEMAAAP2') ),
inference('REWRITE',[status(thm)],[28,34,51,theory(equality)]) ).
cnf(56,plain,
xsd_integer('SKOLEMAAAP2'),
inference('HYPERRESOLVE',[status(thm)],[53,11]) ).
cnf(57,plain,
xsd_string('SKOLEMAAAP2'),
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
% 0.05/0.09 % Problem : KRS175+1 : TPTP v8.1.0. Released v3.1.0.
% 0.05/0.10 % Command : run-snark %s %d
% 0.10/0.28 % Computer : n032.cluster.edu
% 0.10/0.28 % Model : x86_64 x86_64
% 0.10/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.28 % Memory : 8042.1875MB
% 0.10/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.28 % CPULimit : 300
% 0.10/0.28 % WCLimit : 600
% 0.10/0.28 % DateTime : Tue Jun 7 10:26:05 EDT 2022
% 0.10/0.28 % CPUTime :
% 0.13/0.37 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.38 *
% 0.13/0.38 *
% 0.13/0.38 #<PACKAGE "SNARK-USER">
% 0.13/0.38 *
% 0.13/0.38 SNARK-TPTP-OPTIONS
% 0.13/0.38 *
% 0.13/0.38 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.13/0.38 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.13/0.38 (USE-FACTORING :POS)
% 0.13/0.38 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.13/0.38 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.13/0.38 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.13/0.38 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.13/0.38 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.13/0.38 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.13/0.38 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.13/0.38 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.13/0.38 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.13/0.38 (DECLARE-TPTP-SYMBOLS2))
% 0.13/0.38 *
% 0.13/0.38 "."
% 0.13/0.38 *
% 0.13/0.38 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T10:26:05
% 0.13/0.38 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-07T10:26:05
% 0.13/0.41
% 0.13/0.41
% 0.13/0.41 #||
% 0.13/0.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.41 % SZS output start Refutation
% See solution above
% 0.13/0.41 ||#
% 0.13/0.41
% 0.13/0.41 ; Summary of computation:
% 0.13/0.41 ; 112 formulas have been input or derived (from 39 formulas).
% 0.13/0.41 ; 58 (52%) were retained. Of these,
% 0.13/0.41 ; 34 (59%) were simplified or subsumed later,
% 0.13/0.41 ; 24 (41%) are still being kept.
% 0.13/0.41 ;
% 0.13/0.41 ; Run time in seconds excluding printing time:
% 0.13/0.41 ; 0.002 8% Read assertion file (1 call)
% 0.13/0.41 ; 0.000 0% Assert (15 calls)
% 0.13/0.41 ; 0.001 4% Process new row (97 calls)
% 0.13/0.41 ; 0.003 12% Resolution (76 calls)
% 0.13/0.41 ; 0.000 0% Paramodulation (38 calls)
% 0.13/0.41 ; 0.000 0% Factoring (11 calls)
% 0.13/0.41 ; 0.000 0% Condensing (52 calls)
% 0.13/0.41 ; 0.001 4% Forward subsumption (52 calls)
% 0.13/0.41 ; 0.003 12% Backward subsumption (42 calls)
% 0.13/0.41 ; 0.001 4% Clause clause subsumption (27 calls)
% 0.13/0.41 ; 0.000 0% Forward simplification (90 calls)
% 0.13/0.41 ; 0.000 0% Backward simplification (52 calls)
% 0.13/0.41 ; 0.000 0% Ordering (92 calls)
% 0.13/0.41 ; 0.000 0% Sortal reasoning (32 calls)
% 0.13/0.41 ; 0.000 0% Purity testing (1 call)
% 0.13/0.41 ; 0.015 58% Other
% 0.13/0.41 ; 0.026 Total
% 0.13/0.41 ; 0.029 Real time
% 0.13/0.41 ;
% 0.13/0.41 ; Term-hash-array has 33 terms in all.
% 0.13/0.41 ; Feature-vector-row-index has 14 entries (25 at peak, 42 added, 28 deleted).
% 0.13/0.41 ; Feature-vector-row-index has 33 nodes (106 at peak, 226 added, 193 deleted).
% 0.13/0.41 ; Retrieved 13 possibly forward subsuming rows in 52 calls.
% 0.13/0.41 ; Retrieved 14 possibly backward subsumed rows in 42 calls.
% 0.13/0.41 ; Path-index has 27 entries (35 at peak, 50 added, 23 deleted).
% 0.13/0.41 ; Path-index has 31 nodes (37 at peak, 47 added, 16 deleted).
% 0.13/0.41 ; Trie-index has 27 entries (35 at peak, 50 added, 23 deleted).
% 0.13/0.41 ; Trie-index has 33 nodes (42 at peak, 58 added, 25 deleted).
% 0.13/0.41 ; Retrieved 52 generalization terms in 71 calls.
% 0.13/0.41 ; Retrieved 11 instance terms in 9 calls.
% 0.13/0.41 ; Retrieved 542 unifiable terms in 244 calls.
% 0.13/0.41 ;
% 0.13/0.41 ; The agenda of rows to process has 1 entry:
% 0.13/0.41 ; 1 with value 4
% 0.13/0.41 ; The agenda of rows to give has 2 entries:
% 0.13/0.41 ; 1 with value (4 4) 1 with value (4 14)
% 0.13/0.41 Evaluation took:
% 0.13/0.41 0.029 seconds of real time
% 0.13/0.41 0.023269 seconds of user run time
% 0.13/0.41 0.00618 seconds of system run time
% 0.13/0.41 0 calls to %EVAL
% 0.13/0.41 0 page faults and
% 0.13/0.41 4,859,680 bytes consed.
% 0.13/0.41 :PROOF-FOUND
% 0.13/0.41 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T10:26:05
% 0.13/0.41 :PROOF-FOUND
% 0.13/0.41 *
%------------------------------------------------------------------------------