%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU269+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n004.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 14:20:47 EDT 2022
% Result : Theorem 1.14s 1.31s
% Output : Refutation 1.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 13
% Syntax : Number of clauses : 26 ( 15 unt; 5 nHn; 19 RR)
% Number of literals : 54 ( 5 equ; 29 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-2 aty)
% Number of variables : 28 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(9,axiom,
( ~ relation(X)
| transitive(X)
| ~ is_transitive_in(X,relation_field(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d16_relat_2) ).
cnf(10,axiom,
( ~ relation(X)
| X != inclusion_relation(Y)
| relation_field(X) = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_wellord2) ).
cnf(11,axiom,
( ~ relation(X)
| X != inclusion_relation(Y)
| ~ in(Z,Y)
| ~ in(U,Y)
| ~ in(ordered_pair(Z,U),X)
| subset(Z,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_wellord2) ).
cnf(12,axiom,
( ~ relation(X)
| X != inclusion_relation(Y)
| ~ in(Z,Y)
| ~ in(U,Y)
| in(ordered_pair(Z,U),X)
| ~ subset(Z,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_wellord2) ).
cnf(20,axiom,
( ~ relation(X)
| is_transitive_in(X,Y)
| in('SKOLEMAAAV3'(Y,X),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_relat_2) ).
cnf(21,axiom,
( ~ relation(X)
| is_transitive_in(X,Y)
| in('SKOLEMAAAV4'(Y,X),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_relat_2) ).
cnf(22,axiom,
( ~ relation(X)
| is_transitive_in(X,Y)
| in('SKOLEMAAAV5'(Y,X),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_relat_2) ).
cnf(23,axiom,
( ~ relation(X)
| is_transitive_in(X,Y)
| in(ordered_pair('SKOLEMAAAV3'(Y,X),'SKOLEMAAAV4'(Y,X)),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_relat_2) ).
cnf(24,axiom,
( ~ relation(X)
| is_transitive_in(X,Y)
| in(ordered_pair('SKOLEMAAAV4'(Y,X),'SKOLEMAAAV5'(Y,X)),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_relat_2) ).
cnf(25,axiom,
( ~ relation(X)
| is_transitive_in(X,Y)
| ~ in(ordered_pair('SKOLEMAAAV3'(Y,X),'SKOLEMAAAV5'(Y,X)),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_relat_2) ).
cnf(26,axiom,
relation(inclusion_relation(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_wellord2) ).
cnf(58,axiom,
( ~ subset(X,Y)
| ~ subset(Y,Z)
| subset(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_xboole_1) ).
cnf(62,negated_conjecture,
~ transitive(inclusion_relation('SKOLEMAAAV16')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_wellord2) ).
cnf(87,plain,
~ is_transitive_in(inclusion_relation('SKOLEMAAAV16'),relation_field(inclusion_relation('SKOLEMAAAV16'))),
inference('UR-RESOLVE',[status(thm)],[9,26,62]) ).
cnf(111,plain,
relation_field(inclusion_relation(X)) = X,
inference('HYPERRESOLVE',[status(thm)],[10,26,theory(equality)]) ).
cnf(113,plain,
~ is_transitive_in(inclusion_relation('SKOLEMAAAV16'),'SKOLEMAAAV16'),
inference('REWRITE',[status(thm)],[87,111,theory(equality)]) ).
cnf(153,plain,
in('SKOLEMAAAV5'('SKOLEMAAAV16',inclusion_relation('SKOLEMAAAV16')),'SKOLEMAAAV16'),
inference('UR-RESOLVE',[status(thm)],[22,113,26]) ).
cnf(154,plain,
in('SKOLEMAAAV4'('SKOLEMAAAV16',inclusion_relation('SKOLEMAAAV16')),'SKOLEMAAAV16'),
inference('UR-RESOLVE',[status(thm)],[21,113,26]) ).
cnf(155,plain,
in('SKOLEMAAAV3'('SKOLEMAAAV16',inclusion_relation('SKOLEMAAAV16')),'SKOLEMAAAV16'),
inference('UR-RESOLVE',[status(thm)],[20,113,26]) ).
cnf(156,plain,
~ in(ordered_pair('SKOLEMAAAV3'('SKOLEMAAAV16',inclusion_relation('SKOLEMAAAV16')),'SKOLEMAAAV5'('SKOLEMAAAV16',inclusion_relation('SKOLEMAAAV16'))),inclusion_relation('SKOLEMAAAV16')),
inference('UR-RESOLVE',[status(thm)],[25,113,26]) ).
cnf(157,plain,
in(ordered_pair('SKOLEMAAAV4'('SKOLEMAAAV16',inclusion_relation('SKOLEMAAAV16')),'SKOLEMAAAV5'('SKOLEMAAAV16',inclusion_relation('SKOLEMAAAV16'))),inclusion_relation('SKOLEMAAAV16')),
inference('UR-RESOLVE',[status(thm)],[24,113,26]) ).
cnf(158,plain,
in(ordered_pair('SKOLEMAAAV3'('SKOLEMAAAV16',inclusion_relation('SKOLEMAAAV16')),'SKOLEMAAAV4'('SKOLEMAAAV16',inclusion_relation('SKOLEMAAAV16'))),inclusion_relation('SKOLEMAAAV16')),
inference('UR-RESOLVE',[status(thm)],[23,113,26]) ).
cnf(531,plain,
~ subset('SKOLEMAAAV3'('SKOLEMAAAV16',inclusion_relation('SKOLEMAAAV16')),'SKOLEMAAAV5'('SKOLEMAAAV16',inclusion_relation('SKOLEMAAAV16'))),
inference('UR-RESOLVE',[status(thm)],[12,156,26,155,153,theory(equality)]) ).
cnf(536,plain,
subset('SKOLEMAAAV4'('SKOLEMAAAV16',inclusion_relation('SKOLEMAAAV16')),'SKOLEMAAAV5'('SKOLEMAAAV16',inclusion_relation('SKOLEMAAAV16'))),
inference('HYPERRESOLVE',[status(thm)],[11,157,26,154,153,theory(equality)]) ).
cnf(540,plain,
~ subset('SKOLEMAAAV3'('SKOLEMAAAV16',inclusion_relation('SKOLEMAAAV16')),'SKOLEMAAAV4'('SKOLEMAAAV16',inclusion_relation('SKOLEMAAAV16'))),
inference('UR-RESOLVE',[status(thm)],[58,536,531]) ).
cnf(545,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[11,540,26,155,154,theory(equality)]),158]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU269+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jun 19 11:34:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T11:34:08
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-06-19T11:34:08
% 0.20/0.49
% 0.20/0.49 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.20/0.50 ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.20/0.50 ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.20/0.50 ; Declaring unordered_pair to be commutative.
% 0.20/0.50 WARNING:
% 0.20/0.50 |one_to_one| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.50 WARNING:
% 0.20/0.50 |relation_empty_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.50 WARNING:
% 0.20/0.50 |function| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 1.14/1.31 ; Declaring set_union2 to be commutative.
% 1.14/1.31
% 1.14/1.31 #||
% 1.14/1.31 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.14/1.31 % SZS output start Refutation
% See solution above
% 1.14/1.31 ||#
% 1.14/1.31
% 1.14/1.31 ; Summary of computation:
% 1.14/1.31 ; 2903 formulas have been input or derived (from 301 formulas).
% 1.14/1.31 ; 545 (19%) were retained. Of these,
% 1.14/1.31 ; 38 ( 7%) were simplified or subsumed later,
% 1.14/1.31 ; 507 (93%) are still being kept.
% 1.14/1.31 ;
% 1.14/1.31 ; Run time in seconds excluding printing time:
% 1.14/1.31 ; 0.008 1% Read assertion file (1 call)
% 1.14/1.31 ; 0.003 0% Assert (52 calls)
% 1.14/1.31 ; 0.040 5% Process new row (1,919 calls)
% 1.14/1.31 ; 0.677 81% Resolution (600 calls)
% 1.14/1.31 ; 0.008 1% Paramodulation (300 calls)
% 1.14/1.31 ; 0.000 0% Factoring (43 calls)
% 1.14/1.31 ; 0.002 0% Condensing (240 calls)
% 1.14/1.31 ; 0.020 2% Forward subsumption (240 calls)
% 1.14/1.31 ; 0.000 0% Backward subsumption (144 calls)
% 1.14/1.31 ; 0.000 0% Clause clause subsumption (132 calls)
% 1.14/1.31 ; 0.035 4% Forward simplification (1,862 calls)
% 1.14/1.31 ; 0.007 1% Backward simplification (545 calls)
% 1.14/1.31 ; 0.001 0% Ordering (380 calls)
% 1.14/1.31 ; 0.001 0% Sortal reasoning (32 calls)
% 1.14/1.31 ; 0.001 0% Purity testing (1 call)
% 1.14/1.31 ; 0.028 3% Other
% 1.14/1.31 ; 0.831 Total
% 1.14/1.31 ; 0.837 Real time
% 1.14/1.31 ;
% 1.14/1.31 ; Term-hash-array has 921 terms in all.
% 1.14/1.31 ; Feature-vector-row-index has 141 entries (141 at peak, 144 added, 3 deleted).
% 1.14/1.31 ; Feature-vector-row-index has 627 nodes (627 at peak, 627 added, 0 deleted).
% 1.14/1.31 ; Retrieved 165 possibly forward subsuming rows in 240 calls.
% 1.14/1.31 ; Retrieved 10 possibly backward subsumed rows in 144 calls.
% 1.14/1.31 ; Path-index has 890 entries (890 at peak, 935 added, 45 deleted).
% 1.14/1.31 ; Path-index has 2,494 nodes (2,494 at peak, 2,538 added, 44 deleted).
% 1.14/1.31 ; Trie-index has 890 entries (890 at peak, 935 added, 45 deleted).
% 1.14/1.31 ; Trie-index has 4,032 nodes (4,032 at peak, 4,129 added, 97 deleted).
% 1.14/1.31 ; Retrieved 4,867 generalization terms in 7,757 calls.
% 1.14/1.31 ; Retrieved 407 instance terms in 400 calls.
% 1.14/1.31 ; Retrieved 929,817 unifiable terms in 96,847 calls.
% 1.14/1.31 ;
% 1.14/1.31 ; The agenda of rows to process has 2 entries:
% 1.14/1.31 ; 1 with value 21 1 with value 25
% 1.14/1.31 ; The agenda of rows to give has 218 entries:
% 1.14/1.31 ; 19 with value (4 18) 13 with value (4 25) 4 with value (4 32)
% 1.14/1.31 ; 40 with value (4 19) 3 with value (4 26) 2 with value (4 34)
% 1.14/1.31 ; 29 with value (4 20) 10 with value (4 27) 9 with value (4 35)
% 1.14/1.31 ; 9 with value (4 21) 8 with value (4 28) 10 with value (4 36)
% 1.14/1.31 ; 11 with value (4 22) 4 with value (4 29) 3 with value (4 38)
% 1.14/1.31 ; 22 with value (4 23) 2 with value (4 30) 2 with value (4 41)
% 1.14/1.31 ; 11 with value (4 24) 7 with value (4 31)
% 1.14/1.31 Evaluation took:
% 1.14/1.31 0.837 seconds of real time
% 1.14/1.31 0.81302 seconds of user run time
% 1.14/1.31 0.024009 seconds of system run time
% 1.14/1.31 [Run times include 0.035 seconds GC run time.]
% 1.14/1.31 0 calls to %EVAL
% 1.14/1.31 0 page faults and
% 1.14/1.31 89,022,440 bytes consed.
% 1.14/1.31 :PROOF-FOUND
% 1.14/1.31 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T11:34:09
% 1.14/1.31 :PROOF-FOUND
% 1.14/1.31 *
%------------------------------------------------------------------------------