TSTP Solution File: SEU239+1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU239+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n005.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 0.42s 0.59s
% Output : Refutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of clauses : 18 ( 6 unt; 6 nHn; 16 RR)
% Number of literals : 37 ( 0 equ; 16 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( ~ relation(X)
| ~ is_reflexive_in(X,Y)
| ~ in(Z,Y)
| in(ordered_pair(Z,Z),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_relat_2) ).
cnf(3,axiom,
( ~ relation(X)
| is_reflexive_in(X,Y)
| in('SKOLEMAAAW1'(Y,X),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_relat_2) ).
cnf(4,axiom,
( ~ relation(X)
| is_reflexive_in(X,Y)
| ~ in(ordered_pair('SKOLEMAAAW1'(Y,X),'SKOLEMAAAW1'(Y,X)),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_relat_2) ).
cnf(7,axiom,
( ~ relation(X)
| ~ reflexive(X)
| is_reflexive_in(X,relation_field(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_relat_2) ).
cnf(8,axiom,
( ~ relation(X)
| reflexive(X)
| ~ is_reflexive_in(X,relation_field(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_relat_2) ).
cnf(14,negated_conjecture,
relation('SKOLEMAAAW3'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1_wellord1) ).
cnf(15,negated_conjecture,
( ~ reflexive('SKOLEMAAAW3')
| in('SKOLEMAAAW4',relation_field('SKOLEMAAAW3')) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1_wellord1) ).
cnf(16,negated_conjecture,
( ~ reflexive('SKOLEMAAAW3')
| ~ in(ordered_pair('SKOLEMAAAW4','SKOLEMAAAW4'),'SKOLEMAAAW3') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1_wellord1) ).
cnf(17,negated_conjecture,
( reflexive('SKOLEMAAAW3')
| ~ in(X,relation_field('SKOLEMAAAW3'))
| in(ordered_pair(X,X),'SKOLEMAAAW3') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1_wellord1) ).
cnf(43,plain,
( is_reflexive_in('SKOLEMAAAW3',X)
| in('SKOLEMAAAW1'(X,'SKOLEMAAAW3'),X) ),
inference('HYPERRESOLVE',[status(thm)],[3,14]) ).
cnf(78,plain,
( in('SKOLEMAAAW1'(relation_field('SKOLEMAAAW3'),'SKOLEMAAAW3'),relation_field('SKOLEMAAAW3'))
| reflexive('SKOLEMAAAW3') ),
inference('HYPERRESOLVE',[status(thm)],[8,43,14]) ).
cnf(131,plain,
( reflexive('SKOLEMAAAW3')
| in(ordered_pair('SKOLEMAAAW1'(relation_field('SKOLEMAAAW3'),'SKOLEMAAAW3'),'SKOLEMAAAW1'(relation_field('SKOLEMAAAW3'),'SKOLEMAAAW3')),'SKOLEMAAAW3') ),
inference('HYPERRESOLVE',[status(thm)],[17,78]) ).
cnf(230,plain,
( reflexive('SKOLEMAAAW3')
| is_reflexive_in('SKOLEMAAAW3',relation_field('SKOLEMAAAW3')) ),
inference('HYPERRESOLVE',[status(thm)],[4,131,14]) ).
cnf(236,plain,
reflexive('SKOLEMAAAW3'),
inference('HYPERRESOLVE',[status(thm)],[8,230,14]) ).
cnf(237,plain,
in('SKOLEMAAAW4',relation_field('SKOLEMAAAW3')),
inference('REWRITE',[status(thm)],[15,236]) ).
cnf(238,plain,
~ in(ordered_pair('SKOLEMAAAW4','SKOLEMAAAW4'),'SKOLEMAAAW3'),
inference('REWRITE',[status(thm)],[16,236]) ).
cnf(247,plain,
~ is_reflexive_in('SKOLEMAAAW3',relation_field('SKOLEMAAAW3')),
inference('UR-RESOLVE',[status(thm)],[2,238,14,237]) ).
cnf(251,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[7,247,14]),236]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU239+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 19 23:49:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((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/sandbox/benchmark/theBenchmark.p 2022-06-19T23:49:08
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-06-19T23:49:08
% 0.19/0.48
% 0.19/0.48 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.19/0.49 ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.19/0.49 ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.19/0.49 ; Declaring unordered_pair to be commutative.
% 0.19/0.49 WARNING:
% 0.19/0.49 |one_to_one| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.49 WARNING:
% 0.19/0.49 |function| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.42/0.59 ; Declaring set_union2 to be commutative.
% 0.42/0.59
% 0.42/0.59 #||
% 0.42/0.59 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/0.59 % SZS output start Refutation
% See solution above
% 0.42/0.59 ||#
% 0.42/0.59
% 0.42/0.59 ; Summary of computation:
% 0.42/0.59 ; 556 formulas have been input or derived (from 131 formulas).
% 0.42/0.59 ; 251 (45%) were retained. Of these,
% 0.42/0.59 ; 26 (10%) were simplified or subsumed later,
% 0.42/0.59 ; 225 (90%) are still being kept.
% 0.42/0.59 ;
% 0.42/0.59 ; Run time in seconds excluding printing time:
% 0.42/0.59 ; 0.006 5% Read assertion file (1 call)
% 0.42/0.59 ; 0.001 1% Assert (36 calls)
% 0.42/0.59 ; 0.029 25% Process new row (477 calls)
% 0.42/0.59 ; 0.007 6% Resolution (260 calls)
% 0.42/0.59 ; 0.007 6% Paramodulation (130 calls)
% 0.42/0.59 ; 0.000 0% Factoring (38 calls)
% 0.42/0.59 ; 0.000 0% Condensing (185 calls)
% 0.42/0.59 ; 0.020 17% Forward subsumption (185 calls)
% 0.42/0.59 ; 0.005 4% Backward subsumption (153 calls)
% 0.42/0.59 ; 0.000 0% Clause clause subsumption (89 calls)
% 0.42/0.59 ; 0.008 7% Forward simplification (465 calls)
% 0.42/0.59 ; 0.002 2% Backward simplification (251 calls)
% 0.42/0.59 ; 0.003 3% Ordering (262 calls)
% 0.42/0.59 ; 0.000 0% Sortal reasoning (32 calls)
% 0.42/0.59 ; 0.001 1% Purity testing (1 call)
% 0.42/0.59 ; 0.029 25% Other
% 0.42/0.59 ; 0.118 Total
% 0.42/0.59 ; 0.119 Real time
% 0.42/0.59 ;
% 0.42/0.59 ; Term-hash-array has 436 terms in all.
% 0.42/0.59 ; Feature-vector-row-index has 130 entries (150 at peak, 153 added, 23 deleted).
% 0.42/0.59 ; Feature-vector-row-index has 1,223 nodes (1,401 at peak, 1,435 added, 212 deleted).
% 0.42/0.59 ; Retrieved 97 possibly forward subsuming rows in 185 calls.
% 0.42/0.59 ; Retrieved 5 possibly backward subsumed rows in 153 calls.
% 0.42/0.59 ; Path-index has 420 entries (433 at peak, 461 added, 41 deleted).
% 0.42/0.59 ; Path-index has 1,085 nodes (1,105 at peak, 1,131 added, 46 deleted).
% 0.42/0.59 ; Trie-index has 420 entries (433 at peak, 461 added, 41 deleted).
% 0.42/0.59 ; Trie-index has 1,699 nodes (1,772 at peak, 1,841 added, 142 deleted).
% 0.42/0.59 ; Retrieved 431 generalization terms in 904 calls.
% 0.42/0.59 ; Retrieved 99 instance terms in 97 calls.
% 0.42/0.59 ; Retrieved 3,017 unifiable terms in 1,427 calls.
% 0.42/0.59 ;
% 0.42/0.59 ; The agenda of rows to process has 2 entries:
% 0.42/0.59 ; 1 with value 12 1 with value 17
% 0.42/0.59 ; The agenda of rows to give has 108 entries:
% 0.42/0.59 ; 2 with value (4 8) 4 with value (4 23) 12 with value (4 33)
% 0.42/0.59 ; 1 with value (4 10) 1 with value (4 24) 2 with value (4 34)
% 0.42/0.59 ; 1 with value (4 11) 6 with value (4 25) 10 with value (4 35)
% 0.42/0.59 ; 2 with value (4 12) 4 with value (4 26) 1 with value (4 36)
% 0.42/0.59 ; 1 with value (4 14) 3 with value (4 29) 3 with value (4 40)
% 0.42/0.59 ; 2 with value (4 19) 4 with value (4 30) 3 with value (4 41)
% 0.42/0.59 ; 5 with value (4 21) 19 with value (4 31) 6 with value (4 43)
% 0.42/0.59 ; 4 with value (4 22) 12 with value (4 32)
% 0.42/0.59 Evaluation took:
% 0.42/0.59 0.12 seconds of real time
% 0.42/0.59 0.102735 seconds of user run time
% 0.42/0.59 0.016777 seconds of system run time
% 0.42/0.59 0 calls to %EVAL
% 0.42/0.59 0 page faults and
% 0.42/0.59 7,186,376 bytes consed.
% 0.42/0.59 :PROOF-FOUND
% 0.42/0.59 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T23:49:08
% 0.42/0.59 :PROOF-FOUND
% 0.42/0.59 *
%------------------------------------------------------------------------------