%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU241+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n007.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 : Tue Jul 19 14:20:32 EDT 2022
% Result : Theorem 0.19s 0.58s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of clauses : 35 ( 6 unt; 20 nHn; 31 RR)
% Number of literals : 78 ( 20 equ; 26 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 22 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( ~ relation(X)
| ~ antisymmetric(X)
| is_antisymmetric_in(X,relation_field(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d12_relat_2) ).
cnf(3,axiom,
( ~ relation(X)
| antisymmetric(X)
| ~ is_antisymmetric_in(X,relation_field(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d12_relat_2) ).
cnf(4,axiom,
( ~ relation(X)
| ~ is_antisymmetric_in(X,Y)
| ~ in(Z,Y)
| ~ in(U,Y)
| ~ in(ordered_pair(Z,U),X)
| ~ in(ordered_pair(U,Z),X)
| Z = U ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_relat_2) ).
cnf(7,axiom,
( ~ relation(X)
| is_antisymmetric_in(X,Y)
| in(ordered_pair('SKOLEMAAAV1'(Y,X),'SKOLEMAAAV2'(Y,X)),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_relat_2) ).
cnf(8,axiom,
( ~ relation(X)
| is_antisymmetric_in(X,Y)
| in(ordered_pair('SKOLEMAAAV2'(Y,X),'SKOLEMAAAV1'(Y,X)),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_relat_2) ).
cnf(9,axiom,
( ~ relation(X)
| is_antisymmetric_in(X,Y)
| 'SKOLEMAAAV1'(Y,X) != 'SKOLEMAAAV2'(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_relat_2) ).
cnf(17,negated_conjecture,
relation('SKOLEMAAAV4'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l3_wellord1) ).
cnf(18,negated_conjecture,
( ~ antisymmetric('SKOLEMAAAV4')
| in(ordered_pair('SKOLEMAAAV5','SKOLEMAAAV6'),'SKOLEMAAAV4') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l3_wellord1) ).
cnf(19,negated_conjecture,
( ~ antisymmetric('SKOLEMAAAV4')
| in(ordered_pair('SKOLEMAAAV6','SKOLEMAAAV5'),'SKOLEMAAAV4') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l3_wellord1) ).
cnf(20,negated_conjecture,
( ~ antisymmetric('SKOLEMAAAV4')
| 'SKOLEMAAAV5' != 'SKOLEMAAAV6' ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l3_wellord1) ).
cnf(21,negated_conjecture,
( antisymmetric('SKOLEMAAAV4')
| ~ in(ordered_pair(X,Y),'SKOLEMAAAV4')
| ~ in(ordered_pair(Y,X),'SKOLEMAAAV4')
| X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l3_wellord1) ).
cnf(31,axiom,
( ~ relation(X)
| ~ in(ordered_pair(Y,Z),X)
| in(Y,relation_field(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t30_relat_1) ).
cnf(32,axiom,
( ~ relation(X)
| ~ in(ordered_pair(Y,Z),X)
| in(Z,relation_field(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t30_relat_1) ).
cnf(61,plain,
( is_antisymmetric_in('SKOLEMAAAV4',X)
| in(ordered_pair('SKOLEMAAAV1'(X,'SKOLEMAAAV4'),'SKOLEMAAAV2'(X,'SKOLEMAAAV4')),'SKOLEMAAAV4') ),
inference('HYPERRESOLVE',[status(thm)],[7,17]) ).
cnf(65,plain,
( is_antisymmetric_in('SKOLEMAAAV4',X)
| in(ordered_pair('SKOLEMAAAV2'(X,'SKOLEMAAAV4'),'SKOLEMAAAV1'(X,'SKOLEMAAAV4')),'SKOLEMAAAV4') ),
inference('HYPERRESOLVE',[status(thm)],[8,17]) ).
cnf(105,plain,
( in(ordered_pair('SKOLEMAAAV1'(relation_field('SKOLEMAAAV4'),'SKOLEMAAAV4'),'SKOLEMAAAV2'(relation_field('SKOLEMAAAV4'),'SKOLEMAAAV4')),'SKOLEMAAAV4')
| antisymmetric('SKOLEMAAAV4') ),
inference('HYPERRESOLVE',[status(thm)],[3,61,17]) ).
cnf(108,plain,
( in(ordered_pair('SKOLEMAAAV2'(relation_field('SKOLEMAAAV4'),'SKOLEMAAAV4'),'SKOLEMAAAV1'(relation_field('SKOLEMAAAV4'),'SKOLEMAAAV4')),'SKOLEMAAAV4')
| antisymmetric('SKOLEMAAAV4') ),
inference('HYPERRESOLVE',[status(thm)],[3,65,17]) ).
cnf(126,plain,
( antisymmetric('SKOLEMAAAV4')
| 'SKOLEMAAAV2'(relation_field('SKOLEMAAAV4'),'SKOLEMAAAV4') = 'SKOLEMAAAV1'(relation_field('SKOLEMAAAV4'),'SKOLEMAAAV4') ),
inference('HYPERRESOLVE',[status(thm)],[21,108,105]) ).
cnf(128,plain,
( 'SKOLEMAAAV2'(relation_field('SKOLEMAAAV4'),'SKOLEMAAAV4') = 'SKOLEMAAAV1'(relation_field('SKOLEMAAAV4'),'SKOLEMAAAV4')
| is_antisymmetric_in('SKOLEMAAAV4',relation_field('SKOLEMAAAV4')) ),
inference('HYPERRESOLVE',[status(thm)],[2,126,17]) ).
cnf(129,plain,
( 'SKOLEMAAAV2'(relation_field('SKOLEMAAAV4'),'SKOLEMAAAV4') = 'SKOLEMAAAV1'(relation_field('SKOLEMAAAV4'),'SKOLEMAAAV4')
| in(ordered_pair('SKOLEMAAAV6','SKOLEMAAAV5'),'SKOLEMAAAV4') ),
inference('HYPERRESOLVE',[status(thm)],[19,126]) ).
cnf(130,plain,
( 'SKOLEMAAAV2'(relation_field('SKOLEMAAAV4'),'SKOLEMAAAV4') = 'SKOLEMAAAV1'(relation_field('SKOLEMAAAV4'),'SKOLEMAAAV4')
| in(ordered_pair('SKOLEMAAAV5','SKOLEMAAAV6'),'SKOLEMAAAV4') ),
inference('HYPERRESOLVE',[status(thm)],[18,126]) ).
cnf(135,plain,
( 'SKOLEMAAAV2'(relation_field('SKOLEMAAAV4'),'SKOLEMAAAV4') = 'SKOLEMAAAV1'(relation_field('SKOLEMAAAV4'),'SKOLEMAAAV4')
| in('SKOLEMAAAV5',relation_field('SKOLEMAAAV4')) ),
inference('HYPERRESOLVE',[status(thm)],[32,129,17]) ).
cnf(136,plain,
( 'SKOLEMAAAV2'(relation_field('SKOLEMAAAV4'),'SKOLEMAAAV4') = 'SKOLEMAAAV1'(relation_field('SKOLEMAAAV4'),'SKOLEMAAAV4')
| in('SKOLEMAAAV6',relation_field('SKOLEMAAAV4')) ),
inference('HYPERRESOLVE',[status(thm)],[31,129,17]) ).
cnf(140,plain,
( 'SKOLEMAAAV2'(relation_field('SKOLEMAAAV4'),'SKOLEMAAAV4') = 'SKOLEMAAAV1'(relation_field('SKOLEMAAAV4'),'SKOLEMAAAV4')
| 'SKOLEMAAAV5' = 'SKOLEMAAAV6' ),
inference('HYPERRESOLVE',[status(thm)],[4,136,17,128,135,129,130]) ).
cnf(142,plain,
( 'SKOLEMAAAV5' = 'SKOLEMAAAV6'
| is_antisymmetric_in('SKOLEMAAAV4',relation_field('SKOLEMAAAV4')) ),
inference('HYPERRESOLVE',[status(thm)],[9,140,17]) ).
cnf(145,plain,
( 'SKOLEMAAAV5' = 'SKOLEMAAAV6'
| antisymmetric('SKOLEMAAAV4') ),
inference('HYPERRESOLVE',[status(thm)],[3,142,17]) ).
cnf(146,plain,
( 'SKOLEMAAAV5' = 'SKOLEMAAAV6'
| in(ordered_pair('SKOLEMAAAV6','SKOLEMAAAV5'),'SKOLEMAAAV4') ),
inference('HYPERRESOLVE',[status(thm)],[19,145]) ).
cnf(147,plain,
( 'SKOLEMAAAV5' = 'SKOLEMAAAV6'
| in(ordered_pair('SKOLEMAAAV5','SKOLEMAAAV6'),'SKOLEMAAAV4') ),
inference('HYPERRESOLVE',[status(thm)],[18,145]) ).
cnf(148,plain,
( 'SKOLEMAAAV5' = 'SKOLEMAAAV6'
| in('SKOLEMAAAV5',relation_field('SKOLEMAAAV4')) ),
inference('HYPERRESOLVE',[status(thm)],[32,146,17]) ).
cnf(149,plain,
( 'SKOLEMAAAV5' = 'SKOLEMAAAV6'
| in('SKOLEMAAAV6',relation_field('SKOLEMAAAV4')) ),
inference('HYPERRESOLVE',[status(thm)],[31,146,17]) ).
cnf(153,plain,
'SKOLEMAAAV5' = 'SKOLEMAAAV6',
inference('HYPERRESOLVE',[status(thm)],[4,149,17,142,148,146,147]) ).
cnf(155,plain,
~ antisymmetric('SKOLEMAAAV4'),
inference('REWRITE',[status(thm)],[20,153,theory(equality)]) ).
cnf(164,plain,
'SKOLEMAAAV2'(relation_field('SKOLEMAAAV4'),'SKOLEMAAAV4') = 'SKOLEMAAAV1'(relation_field('SKOLEMAAAV4'),'SKOLEMAAAV4'),
inference('REWRITE',[status(thm)],[126,155]) ).
cnf(167,plain,
~ is_antisymmetric_in('SKOLEMAAAV4',relation_field('SKOLEMAAAV4')),
inference('UR-RESOLVE',[status(thm)],[3,155,17]) ).
cnf(168,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[9,167,17]),164,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU241+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n007.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 : Sun Jun 19 22:52:59 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 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)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T22:52:59
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-06-19T22:52:59
% 0.19/0.48
% 0.19/0.48 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.19/0.48 ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.19/0.48 ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.19/0.48 ; Declaring unordered_pair to be commutative.
% 0.19/0.48 WARNING:
% 0.19/0.48 |one_to_one| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.48 WARNING:
% 0.19/0.48 |function| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.58 ; Declaring set_union2 to be commutative.
% 0.19/0.58
% 0.19/0.58 #||
% 0.19/0.58 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.58 % SZS output start Refutation
% See solution above
% 0.19/0.59 ||#
% 0.19/0.59
% 0.19/0.59 ; Summary of computation:
% 0.19/0.59 ; 628 formulas have been input or derived (from 131 formulas).
% 0.19/0.59 ; 168 (27%) were retained. Of these,
% 0.19/0.59 ; 45 (27%) were simplified or subsumed later,
% 0.19/0.59 ; 123 (73%) are still being kept.
% 0.19/0.59 ;
% 0.19/0.59 ; Run time in seconds excluding printing time:
% 0.19/0.59 ; 0.006 5% Read assertion file (1 call)
% 0.19/0.59 ; 0.002 2% Assert (37 calls)
% 0.19/0.59 ; 0.021 18% Process new row (411 calls)
% 0.19/0.59 ; 0.041 35% Resolution (260 calls)
% 0.19/0.59 ; 0.002 2% Paramodulation (130 calls)
% 0.19/0.59 ; 0.000 0% Factoring (50 calls)
% 0.19/0.59 ; 0.003 3% Condensing (192 calls)
% 0.19/0.59 ; 0.007 6% Forward subsumption (192 calls)
% 0.19/0.59 ; 0.000 0% Backward subsumption (93 calls)
% 0.19/0.59 ; 0.000 0% Clause clause subsumption (183 calls)
% 0.19/0.59 ; 0.008 7% Forward simplification (385 calls)
% 0.19/0.59 ; 0.002 2% Backward simplification (168 calls)
% 0.19/0.59 ; 0.000 0% Ordering (309 calls)
% 0.19/0.59 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.59 ; 0.001 1% Purity testing (1 call)
% 0.19/0.59 ; 0.025 21% Other
% 0.19/0.59 ; 0.118 Total
% 0.19/0.59 ; 0.122 Real time
% 0.19/0.59 ;
% 0.19/0.59 ; Term-hash-array has 273 terms in all.
% 0.19/0.59 ; Feature-vector-row-index has 56 entries (87 at peak, 93 added, 37 deleted).
% 0.19/0.59 ; Feature-vector-row-index has 216 nodes (399 at peak, 447 added, 231 deleted).
% 0.19/0.59 ; Retrieved 194 possibly forward subsuming rows in 192 calls.
% 0.19/0.59 ; Retrieved 18 possibly backward subsumed rows in 93 calls.
% 0.19/0.59 ; Path-index has 255 entries (273 at peak, 298 added, 43 deleted).
% 0.19/0.59 ; Path-index has 823 nodes (850 at peak, 890 added, 67 deleted).
% 0.19/0.59 ; Trie-index has 255 entries (273 at peak, 298 added, 43 deleted).
% 0.19/0.59 ; Trie-index has 1,116 nodes (1,186 at peak, 1,272 added, 156 deleted).
% 0.19/0.59 ; Retrieved 241 generalization terms in 610 calls.
% 0.19/0.59 ; Retrieved 76 instance terms in 74 calls.
% 0.19/0.59 ; Retrieved 19,657 unifiable terms in 5,057 calls.
% 0.19/0.59 ;
% 0.19/0.59 ; The agenda of rows to process has 6 entries:
% 0.19/0.59 ; 6 with value 17
% 0.19/0.59 ; The agenda of rows to give has 20 entries:
% 0.19/0.59 ; 1 with value (4 12) 1 with value (4 24) 1 with value (4 31)
% 0.19/0.59 ; 1 with value (4 13) 2 with value (4 25) 2 with value (4 34)
% 0.19/0.59 ; 2 with value (4 15) 2 with value (4 26) 1 with value (4 35)
% 0.19/0.59 ; 1 with value (4 17) 1 with value (4 27) 2 with value (4 36)
% 0.19/0.59 ; 1 with value (4 18) 1 with value (4 30) 1 with value (4 37)
% 0.19/0.59 Evaluation took:
% 0.19/0.59 0.122 seconds of real time
% 0.19/0.59 0.110701 seconds of user run time
% 0.19/0.59 0.010789 seconds of system run time
% 0.19/0.59 0 calls to %EVAL
% 0.19/0.59 0 page faults and
% 0.19/0.59 9,413,632 bytes consed.
% 0.19/0.59 :PROOF-FOUND
% 0.19/0.59 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T22:52:59
% 0.19/0.59 :PROOF-FOUND
% 0.19/0.59 *
%------------------------------------------------------------------------------