%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET625+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 05:11:03 EDT 2022
% Result : Theorem 0.34s 0.53s
% Output : Refutation 0.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 11 ( 7 unt; 0 nHn; 11 RR)
% Number of literals : 17 ( 0 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ intersect(X,Y)
| member('SKOLEMAAAW1'(X,Y),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersect_defn) ).
cnf(2,axiom,
( ~ intersect(X,Y)
| member('SKOLEMAAAW1'(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersect_defn) ).
cnf(3,axiom,
( intersect(X,Y)
| ~ member(Z,X)
| ~ member(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersect_defn) ).
cnf(4,axiom,
( ~ subset(X,Y)
| ~ member(Z,X)
| member(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn) ).
cnf(8,negated_conjecture,
intersect('SKOLEMAAAW3','SKOLEMAAAW4'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th101) ).
cnf(9,negated_conjecture,
subset('SKOLEMAAAW4','SKOLEMAAAW5'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th101) ).
cnf(10,negated_conjecture,
~ intersect('SKOLEMAAAW3','SKOLEMAAAW5'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th101) ).
cnf(11,plain,
member('SKOLEMAAAW1'('SKOLEMAAAW3','SKOLEMAAAW4'),'SKOLEMAAAW3'),
inference('HYPERRESOLVE',[status(thm)],[1,8]) ).
cnf(13,plain,
member('SKOLEMAAAW1'('SKOLEMAAAW3','SKOLEMAAAW4'),'SKOLEMAAAW4'),
inference('HYPERRESOLVE',[status(thm)],[2,8]) ).
cnf(16,plain,
~ member('SKOLEMAAAW1'('SKOLEMAAAW3','SKOLEMAAAW4'),'SKOLEMAAAW5'),
inference('UR-RESOLVE',[status(thm)],[3,11,10]) ).
cnf(23,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[4,13,9]),16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET625+3 : TPTP v8.1.0. Released v2.2.0.
% 0.08/0.14 % 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 11:28:26 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.48 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.49 *
% 0.20/0.49 *
% 0.20/0.50 #<PACKAGE "SNARK-USER">
% 0.20/0.50 *
% 0.20/0.50 SNARK-TPTP-OPTIONS
% 0.20/0.50 *
% 0.20/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.50 (USE-FACTORING :POS)
% 0.20/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.50 *
% 0.20/0.50 "."
% 0.20/0.50 *
% 0.20/0.50 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T11:28:26
% 0.20/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-07-10T11:28:26
% 0.20/0.51
% 0.20/0.51 ; Recognized commutativity assertion (OR (NOT (|intersect| ?X ?Y)) (|intersect| ?Y ?X)).
% 0.34/0.53 ; Declaring intersect to be commutative.
% 0.34/0.53
% 0.34/0.53 #||
% 0.34/0.53 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/0.53 % SZS output start Refutation
% See solution above
% 0.34/0.53 ||#
% 0.34/0.53
% 0.34/0.53 ; Summary of computation:
% 0.34/0.53 ; 58 formulas have been input or derived (from 16 formulas).
% 0.34/0.53 ; 23 (40%) were retained. Of these,
% 0.34/0.53 ; 23 (100%) are still being kept.
% 0.34/0.53 ;
% 0.34/0.53 ; Run time in seconds excluding printing time:
% 0.34/0.53 ; 0.002 7% Read assertion file (1 call)
% 0.34/0.53 ; 0.001 3% Assert (5 calls)
% 0.34/0.53 ; 0.001 3% Process new row (40 calls)
% 0.34/0.53 ; 0.001 3% Resolution (30 calls)
% 0.34/0.53 ; 0.000 0% Paramodulation (15 calls)
% 0.34/0.53 ; 0.000 0% Factoring (1 call)
% 0.34/0.53 ; 0.000 0% Condensing (8 calls)
% 0.34/0.53 ; 0.000 0% Forward subsumption (8 calls)
% 0.34/0.53 ; 0.000 0% Backward subsumption (8 calls)
% 0.34/0.53 ; 0.000 0% Clause clause subsumption (2 calls)
% 0.34/0.53 ; 0.001 3% Forward simplification (40 calls)
% 0.34/0.53 ; 0.000 0% Backward simplification (23 calls)
% 0.34/0.53 ; 0.000 0% Ordering (2 calls)
% 0.34/0.53 ; 0.000 0% Sortal reasoning (32 calls)
% 0.34/0.53 ; 0.000 0% Purity testing (1 call)
% 0.34/0.53 ; 0.024 80% Other
% 0.34/0.53 ; 0.030 Total
% 0.34/0.53 ; 0.032 Real time
% 0.34/0.53 ;
% 0.34/0.53 ; Term-hash-array has 34 terms in all.
% 0.34/0.53 ; Feature-vector-row-index has 8 entries (8 at peak, 8 added, 0 deleted).
% 0.34/0.53 ; Feature-vector-row-index has 29 nodes (29 at peak, 29 added, 0 deleted).
% 0.34/0.53 ; Retrieved 1 possibly forward subsuming row in 8 calls.
% 0.34/0.53 ; Retrieved 1 possibly backward subsumed row in 8 calls.
% 0.34/0.53 ; Path-index has 37 entries (37 at peak, 37 added, 0 deleted).
% 0.34/0.53 ; Path-index has 56 nodes (56 at peak, 56 added, 0 deleted).
% 0.34/0.53 ; Trie-index has 37 entries (37 at peak, 37 added, 0 deleted).
% 0.34/0.53 ; Trie-index has 67 nodes (67 at peak, 67 added, 0 deleted).
% 0.34/0.53 ; Retrieved 18 generalization terms in 32 calls.
% 0.34/0.53 ; Retrieved 18 instance terms in 14 calls.
% 0.34/0.53 ; Retrieved 283 unifiable terms in 116 calls.
% 0.34/0.53 ;
% 0.34/0.53 ; The agenda of rows to process has 4 entries:
% 0.34/0.53 ; 3 with value 9 1 with value 16
% 0.34/0.53 ; The agenda of rows to give has 7 entries:
% 0.34/0.53 ; 1 with value (4 8) 2 with value (4 10) 2 with value (4 16)
% 0.34/0.53 ; 2 with value (4 9)
% 0.34/0.53 Evaluation took:
% 0.34/0.53 0.032 seconds of real time
% 0.34/0.53 0.025244 seconds of user run time
% 0.34/0.53 0.007063 seconds of system run time
% 0.34/0.53 0 calls to %EVAL
% 0.34/0.53 0 page faults and
% 0.34/0.53 2,022,656 bytes consed.
% 0.34/0.53 :PROOF-FOUND
% 0.34/0.53 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T11:28:26
% 0.34/0.53 :PROOF-FOUND
% 0.34/0.53 *
%------------------------------------------------------------------------------