%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU180+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.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 14:19:53 EDT 2022
% Result : Theorem 0.13s 0.51s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 13 ( 8 unt; 0 nHn; 13 RR)
% Number of literals : 23 ( 5 equ; 12 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 13 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
( X != set_union2(Y,Z)
| in(U,X)
| ~ in(U,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_xboole_0) ).
cnf(8,axiom,
( ~ relation(X)
| Y != relation_dom(X)
| in(Z,Y)
| ~ in(ordered_pair(Z,U),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_relat_1) ).
cnf(12,axiom,
( ~ relation(X)
| Y != relation_rng(X)
| in(Z,Y)
| ~ in(ordered_pair(U,Z),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_relat_1) ).
cnf(16,axiom,
( ~ relation(X)
| relation_field(X) = set_union2(relation_dom(X),relation_rng(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d6_relat_1) ).
cnf(32,negated_conjecture,
relation('SKOLEMAAAU14'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t30_relat_1) ).
cnf(33,negated_conjecture,
in(ordered_pair('SKOLEMAAAU12','SKOLEMAAAU13'),'SKOLEMAAAU14'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t30_relat_1) ).
cnf(34,negated_conjecture,
( ~ in('SKOLEMAAAU12',relation_field('SKOLEMAAAU14'))
| ~ in('SKOLEMAAAU13',relation_field('SKOLEMAAAU14')) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t30_relat_1) ).
cnf(56,plain,
relation_field('SKOLEMAAAU14') = set_union2(relation_dom('SKOLEMAAAU14'),relation_rng('SKOLEMAAAU14')),
inference('HYPERRESOLVE',[status(thm)],[16,32]) ).
cnf(60,plain,
in('SKOLEMAAAU12',relation_dom('SKOLEMAAAU14')),
inference('HYPERRESOLVE',[status(thm)],[8,32,33,theory(equality)]) ).
cnf(61,plain,
in('SKOLEMAAAU13',relation_rng('SKOLEMAAAU14')),
inference('HYPERRESOLVE',[status(thm)],[12,32,33,theory(equality)]) ).
cnf(226,plain,
in('SKOLEMAAAU12',relation_field('SKOLEMAAAU14')),
inference('HYPERRESOLVE',[status(thm)],[3,56,60]) ).
cnf(227,plain,
~ in('SKOLEMAAAU13',relation_field('SKOLEMAAAU14')),
inference('REWRITE',[status(thm)],[34,226]) ).
cnf(228,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[3,56,61]),227]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.09 % Problem : SEU180+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.09 % Command : run-snark %s %d
% 0.08/0.29 % Computer : n028.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 600
% 0.08/0.29 % DateTime : Sun Jun 19 05:27:15 EDT 2022
% 0.08/0.29 % CPUTime :
% 0.13/0.38 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.39 *
% 0.13/0.39 *
% 0.13/0.40 #<PACKAGE "SNARK-USER">
% 0.13/0.40 *
% 0.13/0.40 SNARK-TPTP-OPTIONS
% 0.13/0.40 *
% 0.13/0.40 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.13/0.40 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.13/0.40 (USE-FACTORING :POS)
% 0.13/0.40 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.13/0.40 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.13/0.40 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.13/0.40 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.13/0.40 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.13/0.40 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.13/0.40 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.13/0.40 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.13/0.40 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.13/0.40 (DECLARE-TPTP-SYMBOLS2))
% 0.13/0.40 *
% 0.13/0.40 "."
% 0.13/0.40 *
% 0.13/0.40 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T05:27:15
% 0.13/0.40 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-19T05:27:15
% 0.13/0.42
% 0.13/0.42 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.13/0.42 ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.13/0.42 ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.13/0.42 ; Declaring unordered_pair to be commutative.
% 0.13/0.51 ; Declaring set_union2 to be commutative.
% 0.13/0.51
% 0.13/0.51 #||
% 0.13/0.51 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.51 % SZS output start Refutation
% See solution above
% 0.13/0.51 ||#
% 0.13/0.51
% 0.13/0.51 ; Summary of computation:
% 0.13/0.51 ; 1289 formulas have been input or derived (from 103 formulas).
% 0.13/0.51 ; 228 (18%) were retained. Of these,
% 0.13/0.51 ; 22 (10%) were simplified or subsumed later,
% 0.13/0.51 ; 206 (90%) are still being kept.
% 0.13/0.51 ;
% 0.13/0.51 ; Run time in seconds excluding printing time:
% 0.13/0.51 ; 0.006 6% Read assertion file (1 call)
% 0.13/0.51 ; 0.002 2% Assert (36 calls)
% 0.13/0.51 ; 0.016 15% Process new row (863 calls)
% 0.13/0.51 ; 0.028 26% Resolution (204 calls)
% 0.13/0.51 ; 0.001 1% Paramodulation (102 calls)
% 0.13/0.51 ; 0.000 0% Factoring (2 calls)
% 0.13/0.51 ; 0.004 4% Condensing (185 calls)
% 0.13/0.51 ; 0.008 8% Forward subsumption (185 calls)
% 0.13/0.51 ; 0.002 2% Backward subsumption (65 calls)
% 0.13/0.51 ; 0.001 1% Clause clause subsumption (335 calls)
% 0.13/0.51 ; 0.007 7% Forward simplification (861 calls)
% 0.13/0.51 ; 0.004 4% Backward simplification (228 calls)
% 0.13/0.51 ; 0.002 2% Ordering (836 calls)
% 0.13/0.51 ; 0.001 1% Sortal reasoning (32 calls)
% 0.13/0.51 ; 0.000 0% Purity testing (1 call)
% 0.13/0.51 ; 0.024 23% Other
% 0.13/0.51 ; 0.106 Total
% 0.13/0.51 ; 0.108 Real time
% 0.13/0.51 ;
% 0.13/0.51 ; Term-hash-array has 449 terms in all.
% 0.13/0.51 ; Feature-vector-row-index has 52 entries (56 at peak, 65 added, 13 deleted).
% 0.13/0.51 ; Feature-vector-row-index has 190 nodes (218 at peak, 251 added, 61 deleted).
% 0.13/0.51 ; Retrieved 660 possibly forward subsuming rows in 185 calls.
% 0.13/0.51 ; Retrieved 40 possibly backward subsumed rows in 65 calls.
% 0.13/0.51 ; Path-index has 407 entries (407 at peak, 465 added, 58 deleted).
% 0.13/0.51 ; Path-index has 855 nodes (855 at peak, 895 added, 40 deleted).
% 0.13/0.51 ; Trie-index has 407 entries (407 at peak, 465 added, 58 deleted).
% 0.13/0.51 ; Trie-index has 1,293 nodes (1,293 at peak, 1,409 added, 116 deleted).
% 0.13/0.51 ; Retrieved 1,460 generalization terms in 2,247 calls.
% 0.13/0.51 ; Retrieved 165 instance terms in 162 calls.
% 0.13/0.51 ; Retrieved 23,235 unifiable terms in 2,458 calls.
% 0.13/0.51 ;
% 0.13/0.51 ; The agenda of rows to process has 28 entries:
% 0.13/0.51 ; 2 with value 8 2 with value 18 4 with value 42
% 0.13/0.51 ; 7 with value 9 1 with value 24 1 with value 52
% 0.13/0.51 ; 2 with value 12 1 with value 25 4 with value 53
% 0.13/0.51 ; 2 with value 16 2 with value 41
% 0.13/0.51 ; The agenda of input rows to give has 1 entry:
% 0.13/0.51 ; 1 with value 6
% 0.13/0.51 ; The agenda of rows to give has 106 entries:
% 0.13/0.51 ; 1 with value (4 8) 6 with value (4 18) 3 with value (4 32)
% 0.13/0.51 ; 29 with value (4 12) 2 with value (4 19) 3 with value (4 34)
% 0.13/0.51 ; 8 with value (4 13) 1 with value (4 20) 2 with value (4 49)
% 0.13/0.51 ; 17 with value (4 14) 3 with value (4 21) 4 with value (4 50)
% 0.13/0.51 ; 16 with value (4 15) 1 with value (4 24) 1 with value (4 54)
% 0.13/0.51 ; 3 with value (4 16) 3 with value (4 26) 2 with value (4 55)
% 0.13/0.51 ; 1 with value (4 17)
% 0.13/0.51 Evaluation took:
% 0.13/0.51 0.108 seconds of real time
% 0.13/0.51 0.095361 seconds of user run time
% 0.13/0.51 0.012817 seconds of system run time
% 0.13/0.51 0 calls to %EVAL
% 0.13/0.51 0 page faults and
% 0.13/0.51 7,857,464 bytes consed.
% 0.13/0.51 :PROOF-FOUND
% 0.13/0.51 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T05:27:15
% 0.13/0.51 :PROOF-FOUND
% 0.13/0.51 *
%------------------------------------------------------------------------------