TSTP Solution File: SEU240+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU240+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 14:20:31 EDT 2022
% Result : Theorem 0.54s 0.69s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of clauses : 28 ( 10 unt; 9 nHn; 24 RR)
% Number of literals : 61 ( 0 equ; 27 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 24 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( ~ relation(X)
| ~ transitive(X)
| is_transitive_in(X,relation_field(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d16_relat_2) ).
cnf(3,axiom,
( ~ relation(X)
| transitive(X)
| ~ is_transitive_in(X,relation_field(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d16_relat_2) ).
cnf(6,axiom,
( ~ relation(X)
| ~ is_transitive_in(X,Y)
| ~ in(Z,Y)
| ~ in(U,Y)
| ~ in(V,Y)
| ~ in(ordered_pair(Z,U),X)
| ~ in(ordered_pair(U,V),X)
| in(ordered_pair(Z,V),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_relat_2) ).
cnf(10,axiom,
( ~ relation(X)
| is_transitive_in(X,Y)
| in(ordered_pair('SKOLEMAAAW1'(Y,X),'SKOLEMAAAW2'(Y,X)),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_relat_2) ).
cnf(11,axiom,
( ~ relation(X)
| is_transitive_in(X,Y)
| in(ordered_pair('SKOLEMAAAW2'(Y,X),'SKOLEMAAAW3'(Y,X)),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_relat_2) ).
cnf(12,axiom,
( ~ relation(X)
| is_transitive_in(X,Y)
| ~ in(ordered_pair('SKOLEMAAAW1'(Y,X),'SKOLEMAAAW3'(Y,X)),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_relat_2) ).
cnf(18,negated_conjecture,
relation('SKOLEMAAAW5'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l2_wellord1) ).
cnf(19,negated_conjecture,
( ~ transitive('SKOLEMAAAW5')
| in(ordered_pair('SKOLEMAAAW6','SKOLEMAAAW7'),'SKOLEMAAAW5') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l2_wellord1) ).
cnf(20,negated_conjecture,
( ~ transitive('SKOLEMAAAW5')
| in(ordered_pair('SKOLEMAAAW7','SKOLEMAAAW8'),'SKOLEMAAAW5') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l2_wellord1) ).
cnf(21,negated_conjecture,
( ~ transitive('SKOLEMAAAW5')
| ~ in(ordered_pair('SKOLEMAAAW6','SKOLEMAAAW8'),'SKOLEMAAAW5') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l2_wellord1) ).
cnf(22,negated_conjecture,
( transitive('SKOLEMAAAW5')
| ~ in(ordered_pair(X,Y),'SKOLEMAAAW5')
| ~ in(ordered_pair(Y,Z),'SKOLEMAAAW5')
| in(ordered_pair(X,Z),'SKOLEMAAAW5') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l2_wellord1) ).
cnf(32,axiom,
( ~ relation(X)
| ~ in(ordered_pair(Y,Z),X)
| in(Y,relation_field(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_relat_1) ).
cnf(33,axiom,
( ~ relation(X)
| ~ in(ordered_pair(Y,Z),X)
| in(Z,relation_field(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_relat_1) ).
cnf(66,plain,
( is_transitive_in('SKOLEMAAAW5',X)
| in(ordered_pair('SKOLEMAAAW1'(X,'SKOLEMAAAW5'),'SKOLEMAAAW2'(X,'SKOLEMAAAW5')),'SKOLEMAAAW5') ),
inference('HYPERRESOLVE',[status(thm)],[10,18]) ).
cnf(70,plain,
( is_transitive_in('SKOLEMAAAW5',X)
| in(ordered_pair('SKOLEMAAAW2'(X,'SKOLEMAAAW5'),'SKOLEMAAAW3'(X,'SKOLEMAAAW5')),'SKOLEMAAAW5') ),
inference('HYPERRESOLVE',[status(thm)],[11,18]) ).
cnf(116,plain,
( in(ordered_pair('SKOLEMAAAW1'(relation_field('SKOLEMAAAW5'),'SKOLEMAAAW5'),'SKOLEMAAAW2'(relation_field('SKOLEMAAAW5'),'SKOLEMAAAW5')),'SKOLEMAAAW5')
| transitive('SKOLEMAAAW5') ),
inference('HYPERRESOLVE',[status(thm)],[3,66,18]) ).
cnf(119,plain,
( in(ordered_pair('SKOLEMAAAW2'(relation_field('SKOLEMAAAW5'),'SKOLEMAAAW5'),'SKOLEMAAAW3'(relation_field('SKOLEMAAAW5'),'SKOLEMAAAW5')),'SKOLEMAAAW5')
| transitive('SKOLEMAAAW5') ),
inference('HYPERRESOLVE',[status(thm)],[3,70,18]) ).
cnf(137,plain,
( transitive('SKOLEMAAAW5')
| in(ordered_pair('SKOLEMAAAW1'(relation_field('SKOLEMAAAW5'),'SKOLEMAAAW5'),'SKOLEMAAAW3'(relation_field('SKOLEMAAAW5'),'SKOLEMAAAW5')),'SKOLEMAAAW5') ),
inference('HYPERRESOLVE',[status(thm)],[22,119,116]) ).
cnf(139,plain,
( transitive('SKOLEMAAAW5')
| is_transitive_in('SKOLEMAAAW5',relation_field('SKOLEMAAAW5')) ),
inference('HYPERRESOLVE',[status(thm)],[12,137,18]) ).
cnf(141,plain,
transitive('SKOLEMAAAW5'),
inference('HYPERRESOLVE',[status(thm)],[3,139,18]) ).
cnf(142,plain,
in(ordered_pair('SKOLEMAAAW6','SKOLEMAAAW7'),'SKOLEMAAAW5'),
inference('REWRITE',[status(thm)],[19,141]) ).
cnf(143,plain,
in(ordered_pair('SKOLEMAAAW7','SKOLEMAAAW8'),'SKOLEMAAAW5'),
inference('REWRITE',[status(thm)],[20,141]) ).
cnf(144,plain,
~ in(ordered_pair('SKOLEMAAAW6','SKOLEMAAAW8'),'SKOLEMAAAW5'),
inference('REWRITE',[status(thm)],[21,141]) ).
cnf(146,plain,
in('SKOLEMAAAW7',relation_field('SKOLEMAAAW5')),
inference('HYPERRESOLVE',[status(thm)],[33,142,18]) ).
cnf(147,plain,
in('SKOLEMAAAW6',relation_field('SKOLEMAAAW5')),
inference('HYPERRESOLVE',[status(thm)],[32,142,18]) ).
cnf(150,plain,
in('SKOLEMAAAW8',relation_field('SKOLEMAAAW5')),
inference('HYPERRESOLVE',[status(thm)],[33,143,18]) ).
cnf(163,plain,
~ is_transitive_in('SKOLEMAAAW5',relation_field('SKOLEMAAAW5')),
inference('UR-RESOLVE',[status(thm)],[6,150,18,147,146,142,143,144]) ).
cnf(171,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[2,141,18]),163]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU240+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n021.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jun 20 01:10:18 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.47 *
% 0.21/0.47 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48 (USE-FACTORING :POS)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.48 *
% 0.21/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-20T01:10:18
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-20T01:10:18
% 0.21/0.50
% 0.21/0.50 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.21/0.50 ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.21/0.50 ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.21/0.50 ; Declaring unordered_pair to be commutative.
% 0.21/0.50 WARNING:
% 0.21/0.50 |one_to_one| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.21/0.50 WARNING:
% 0.21/0.50 |function| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.69 ; Declaring set_union2 to be commutative.
% 0.54/0.69
% 0.54/0.69 #||
% 0.54/0.69 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.54/0.69 % SZS output start Refutation
% See solution above
% 0.54/0.69 ||#
% 0.54/0.69
% 0.54/0.69 ; Summary of computation:
% 0.54/0.69 ; 490 formulas have been input or derived (from 133 formulas).
% 0.54/0.69 ; 171 (35%) were retained. Of these,
% 0.54/0.69 ; 25 (15%) were simplified or subsumed later,
% 0.54/0.69 ; 146 (85%) are still being kept.
% 0.54/0.69 ;
% 0.54/0.69 ; Run time in seconds excluding printing time:
% 0.54/0.69 ; 0.006 3% Read assertion file (1 call)
% 0.54/0.69 ; 0.002 1% Assert (37 calls)
% 0.54/0.69 ; 0.010 5% Process new row (410 calls)
% 0.54/0.69 ; 0.148 71% Resolution (264 calls)
% 0.54/0.69 ; 0.002 1% Paramodulation (132 calls)
% 0.54/0.69 ; 0.000 0% Factoring (47 calls)
% 0.54/0.69 ; 0.002 1% Condensing (127 calls)
% 0.54/0.69 ; 0.005 2% Forward subsumption (127 calls)
% 0.54/0.69 ; 0.001 0% Backward subsumption (83 calls)
% 0.54/0.69 ; 0.000 0% Clause clause subsumption (51 calls)
% 0.54/0.69 ; 0.003 1% Forward simplification (401 calls)
% 0.54/0.70 ; 0.001 0% Backward simplification (171 calls)
% 0.54/0.70 ; 0.001 0% Ordering (201 calls)
% 0.54/0.70 ; 0.000 0% Sortal reasoning (32 calls)
% 0.54/0.70 ; 0.000 0% Purity testing (1 call)
% 0.54/0.70 ; 0.028 13% Other
% 0.54/0.70 ; 0.209 Total
% 0.54/0.70 ; 0.213 Real time
% 0.54/0.70 ;
% 0.54/0.70 ; Term-hash-array has 303 terms in all.
% 0.54/0.70 ; Feature-vector-row-index has 61 entries (80 at peak, 83 added, 22 deleted).
% 0.54/0.70 ; Feature-vector-row-index has 235 nodes (336 at peak, 342 added, 107 deleted).
% 0.54/0.70 ; Retrieved 58 possibly forward subsuming rows in 127 calls.
% 0.54/0.70 ; Retrieved 5 possibly backward subsumed rows in 83 calls.
% 0.54/0.70 ; Path-index has 290 entries (290 at peak, 333 added, 43 deleted).
% 0.54/0.70 ; Path-index has 836 nodes (836 at peak, 890 added, 54 deleted).
% 0.54/0.70 ; Trie-index has 290 entries (290 at peak, 333 added, 43 deleted).
% 0.54/0.70 ; Trie-index has 1,145 nodes (1,145 at peak, 1,262 added, 117 deleted).
% 0.54/0.70 ; Retrieved 413 generalization terms in 735 calls.
% 0.54/0.70 ; Retrieved 89 instance terms in 87 calls.
% 0.54/0.70 ; Retrieved 159,505 unifiable terms in 21,091 calls.
% 0.54/0.70 ;
% 0.54/0.70 ; The agenda of rows to give has 33 entries:
% 0.54/0.70 ; 13 with value (4 8) 1 with value (4 22) 1 with value (4 30)
% 0.54/0.70 ; 1 with value (4 9) 1 with value (4 23) 1 with value (4 31)
% 0.54/0.70 ; 1 with value (4 11) 1 with value (4 24) 2 with value (4 34)
% 0.54/0.70 ; 4 with value (4 12) 2 with value (4 25) 1 with value (4 35)
% 0.54/0.70 ; 2 with value (4 17) 1 with value (4 26) 1 with value (4 36)
% 0.54/0.70 Evaluation took:
% 0.54/0.70 0.213 seconds of real time
% 0.54/0.70 0.19825 seconds of user run time
% 0.54/0.70 0.014836 seconds of system run time
% 0.54/0.70 [Run times include 0.006 seconds GC run time.]
% 0.54/0.70 0 calls to %EVAL
% 0.54/0.70 0 page faults and
% 0.54/0.70 15,294,232 bytes consed.
% 0.54/0.70 :PROOF-FOUND
% 0.54/0.70 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-20T01:10:18
% 0.54/0.70 :PROOF-FOUND
% 0.54/0.70 *
%------------------------------------------------------------------------------