%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET632+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 05:11:08 EDT 2022
% Result : Theorem 0.21s 0.53s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 12
% Syntax : Number of clauses : 21 ( 12 unt; 4 nHn; 18 RR)
% Number of literals : 33 ( 2 equ; 15 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 18 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ subset(X,Y)
| ~ member(Z,X)
| member(Z,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_defn) ).
cnf(2,axiom,
( subset(X,Y)
| member('SKOLEMAAAV1'(X,Y),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_defn) ).
cnf(6,axiom,
( intersect(X,Y)
| ~ member(Z,X)
| ~ member(Z,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersect_defn) ).
cnf(7,axiom,
~ member(X,empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',empty_set_defn) ).
cnf(8,axiom,
( ~ disjoint(X,Y)
| ~ intersect(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',disjoint_defn) ).
cnf(11,axiom,
( X = Y
| ~ subset(X,Y)
| ~ subset(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_defn) ).
cnf(13,axiom,
( ~ empty(X)
| ~ member(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',empty_defn) ).
cnf(14,axiom,
( empty(X)
| member('SKOLEMAAAV3'(X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',empty_defn) ).
cnf(15,negated_conjecture,
subset('SKOLEMAAAV4','SKOLEMAAAV5'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th114) ).
cnf(16,negated_conjecture,
subset('SKOLEMAAAV4','SKOLEMAAAV6'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th114) ).
cnf(17,negated_conjecture,
disjoint('SKOLEMAAAV5','SKOLEMAAAV6'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th114) ).
cnf(18,negated_conjecture,
'SKOLEMAAAV4' != empty_set,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th114) ).
cnf(19,plain,
~ intersect('SKOLEMAAAV5','SKOLEMAAAV6'),
inference('UR-RESOLVE',[status(thm)],[8,17]) ).
cnf(22,plain,
subset(empty_set,X),
inference('UR-RESOLVE',[status(thm)],[2,7]) ).
cnf(28,plain,
( empty('SKOLEMAAAV4')
| member('SKOLEMAAAV3'('SKOLEMAAAV4'),'SKOLEMAAAV6') ),
inference('HYPERRESOLVE',[status(thm)],[1,16,14]) ).
cnf(29,plain,
( empty('SKOLEMAAAV4')
| member('SKOLEMAAAV3'('SKOLEMAAAV4'),'SKOLEMAAAV5') ),
inference('HYPERRESOLVE',[status(thm)],[1,15,14]) ).
cnf(35,plain,
~ subset('SKOLEMAAAV4',empty_set),
inference('UR-RESOLVE',[status(thm)],[11,22,18]) ).
cnf(39,plain,
member('SKOLEMAAAV1'('SKOLEMAAAV4',empty_set),'SKOLEMAAAV4'),
inference('HYPERRESOLVE',[status(thm)],[35,2]) ).
cnf(49,plain,
empty('SKOLEMAAAV4'),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[6,29,28]),19]) ).
cnf(50,plain,
~ member(X,'SKOLEMAAAV4'),
inference('UR-RESOLVE',[status(thm)],[13,49]) ).
cnf(51,plain,
$false,
inference('REWRITE',[status(thm)],[39,50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET632+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sun Jul 10 13:28:56 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 0.21/0.49 #<PACKAGE "SNARK-USER">
% 0.21/0.49 *
% 0.21/0.49 SNARK-TPTP-OPTIONS
% 0.21/0.49 *
% 0.21/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49 (USE-FACTORING :POS)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49 *
% 0.21/0.49 "."
% 0.21/0.49 *
% 0.21/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T13:28:56
% 0.21/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-07-10T13:28:56
% 0.21/0.51
% 0.21/0.51 ; Recognized commutativity assertion (OR (NOT (|intersect| ?X ?Y)) (|intersect| ?Y ?X)).
% 0.21/0.53 ; Declaring intersect to be commutative.
% 0.21/0.53
% 0.21/0.53 #||
% 0.21/0.53 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.53 % SZS output start Refutation
% See solution above
% 0.21/0.53 ||#
% 0.21/0.53
% 0.21/0.53 ; Summary of computation:
% 0.21/0.53 ; 117 formulas have been input or derived (from 33 formulas).
% 0.21/0.53 ; 51 (44%) were retained. Of these,
% 0.21/0.53 ; 11 (22%) were simplified or subsumed later,
% 0.21/0.53 ; 40 (78%) are still being kept.
% 0.21/0.53 ;
% 0.21/0.53 ; Run time in seconds excluding printing time:
% 0.21/0.53 ; 0.002 5% Read assertion file (1 call)
% 0.21/0.53 ; 0.001 3% Assert (9 calls)
% 0.21/0.53 ; 0.003 8% Process new row (102 calls)
% 0.21/0.53 ; 0.005 14% Resolution (64 calls)
% 0.21/0.53 ; 0.000 0% Paramodulation (32 calls)
% 0.21/0.53 ; 0.000 0% Factoring (8 calls)
% 0.21/0.53 ; 0.000 0% Condensing (40 calls)
% 0.21/0.53 ; 0.000 0% Forward subsumption (40 calls)
% 0.21/0.53 ; 0.000 0% Backward subsumption (33 calls)
% 0.21/0.53 ; 0.001 3% Clause clause subsumption (37 calls)
% 0.21/0.53 ; 0.002 5% Forward simplification (95 calls)
% 0.21/0.53 ; 0.001 3% Backward simplification (51 calls)
% 0.21/0.53 ; 0.000 0% Ordering (35 calls)
% 0.21/0.53 ; 0.001 3% Sortal reasoning (32 calls)
% 0.21/0.53 ; 0.000 0% Purity testing (1 call)
% 0.21/0.53 ; 0.021 57% Other
% 0.21/0.53 ; 0.037 Total
% 0.21/0.53 ; 0.040 Real time
% 0.21/0.53 ;
% 0.21/0.53 ; Term-hash-array has 69 terms in all.
% 0.21/0.53 ; Feature-vector-row-index has 23 entries (33 at peak, 33 added, 10 deleted).
% 0.21/0.53 ; Feature-vector-row-index has 56 nodes (98 at peak, 98 added, 42 deleted).
% 0.21/0.53 ; Retrieved 31 possibly forward subsuming rows in 40 calls.
% 0.21/0.53 ; Retrieved 9 possibly backward subsumed rows in 33 calls.
% 0.21/0.53 ; Path-index has 55 entries (72 at peak, 73 added, 18 deleted).
% 0.21/0.53 ; Path-index has 82 nodes (95 at peak, 95 added, 13 deleted).
% 0.21/0.53 ; Trie-index has 55 entries (72 at peak, 73 added, 18 deleted).
% 0.21/0.53 ; Trie-index has 81 nodes (111 at peak, 112 added, 31 deleted).
% 0.21/0.53 ; Retrieved 36 generalization terms in 105 calls.
% 0.21/0.53 ; Retrieved 20 instance terms in 17 calls.
% 0.21/0.53 ; Retrieved 568 unifiable terms in 204 calls.
% 0.21/0.53 ;
% 0.21/0.53 ; The agenda of rows to give has 11 entries:
% 0.21/0.53 ; 1 with value (4 7) 1 with value (4 13) 1 with value (4 19)
% 0.21/0.53 ; 7 with value (4 12) 1 with value (4 17)
% 0.21/0.53 Evaluation took:
% 0.21/0.53 0.04 seconds of real time
% 0.21/0.53 0.029018 seconds of user run time
% 0.21/0.53 0.011 seconds of system run time
% 0.21/0.53 0 calls to %EVAL
% 0.21/0.53 0 page faults and
% 0.21/0.53 2,878,672 bytes consed.
% 0.21/0.53 :PROOF-FOUND
% 0.21/0.53 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T13:28:56
% 0.21/0.53 :PROOF-FOUND
% 0.21/0.53 *
%------------------------------------------------------------------------------