TSTP Solution File: SET027+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET027+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n015.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 05:06:06 EDT 2022
% Result : Theorem 0.18s 0.48s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 10 ( 7 unt; 1 nHn; 9 RR)
% Number of literals : 14 ( 0 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 7 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ subset(X,Y)
| ~ member(Z,X)
| member(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn) ).
cnf(2,axiom,
( subset(X,Y)
| member('SKOLEMAAAV1'(X,Y),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn) ).
cnf(3,axiom,
( subset(X,Y)
| ~ member('SKOLEMAAAV1'(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn) ).
cnf(5,negated_conjecture,
subset('SKOLEMAAAV2','SKOLEMAAAV3'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_transitivity_of_subset) ).
cnf(6,negated_conjecture,
subset('SKOLEMAAAV3','SKOLEMAAAV4'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_transitivity_of_subset) ).
cnf(7,negated_conjecture,
~ subset('SKOLEMAAAV2','SKOLEMAAAV4'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_transitivity_of_subset) ).
cnf(8,plain,
member('SKOLEMAAAV1'('SKOLEMAAAV2','SKOLEMAAAV4'),'SKOLEMAAAV2'),
inference('HYPERRESOLVE',[status(thm)],[7,2]) ).
cnf(9,plain,
~ member('SKOLEMAAAV1'('SKOLEMAAAV2','SKOLEMAAAV4'),'SKOLEMAAAV4'),
inference('UR-RESOLVE',[status(thm)],[3,7]) ).
cnf(10,plain,
member('SKOLEMAAAV1'('SKOLEMAAAV2','SKOLEMAAAV4'),'SKOLEMAAAV3'),
inference('HYPERRESOLVE',[status(thm)],[1,8,5]) ).
cnf(12,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[1,9,6]),10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SET027+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 10 04:54:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.45 #<PACKAGE "SNARK-USER">
% 0.18/0.45 *
% 0.18/0.45 SNARK-TPTP-OPTIONS
% 0.18/0.45 *
% 0.18/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T04:54:38
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-07-10T04:54:38
% 0.18/0.48
% 0.18/0.48
% 0.18/0.48 #||
% 0.18/0.48 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.48 % SZS output start Refutation
% See solution above
% 0.18/0.48 ||#
% 0.18/0.48
% 0.18/0.48 ; Summary of computation:
% 0.18/0.48 ; 18 formulas have been input or derived (from 10 formulas).
% 0.18/0.48 ; 12 (67%) were retained. Of these,
% 0.18/0.48 ; 12 (100%) are still being kept.
% 0.18/0.48 ;
% 0.18/0.48 ; Run time in seconds excluding printing time:
% 0.18/0.48 ; 0.001 4% Read assertion file (1 call)
% 0.18/0.48 ; 0.001 4% Assert (3 calls)
% 0.18/0.48 ; 0.001 4% Process new row (16 calls)
% 0.18/0.48 ; 0.001 4% Resolution (18 calls)
% 0.18/0.48 ; 0.000 0% Paramodulation (9 calls)
% 0.18/0.48 ; 0.000 0% Factoring (1 call)
% 0.18/0.48 ; 0.000 0% Condensing (4 calls)
% 0.18/0.48 ; 0.000 0% Forward subsumption (4 calls)
% 0.18/0.48 ; 0.000 0% Backward subsumption (4 calls)
% 0.18/0.48 ; 0.000 0% Forward simplification (16 calls)
% 0.18/0.48 ; 0.000 0% Backward simplification (12 calls)
% 0.18/0.48 ; 0.000 0% Ordering (3 calls)
% 0.18/0.48 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.48 ; 0.000 0% Purity testing (1 call)
% 0.18/0.48 ; 0.020 83% Other
% 0.18/0.48 ; 0.024 Total
% 0.18/0.48 ; 0.027 Real time
% 0.18/0.48 ;
% 0.18/0.48 ; Term-hash-array has 17 terms in all.
% 0.18/0.48 ; Feature-vector-row-index has 4 entries (4 at peak, 4 added, 0 deleted).
% 0.18/0.48 ; Feature-vector-row-index has 17 nodes (17 at peak, 17 added, 0 deleted).
% 0.18/0.48 ; Retrieved 0 possibly forward subsuming rows in 4 calls.
% 0.18/0.48 ; Retrieved 0 possibly backward subsumed rows in 4 calls.
% 0.18/0.48 ; Path-index has 20 entries (20 at peak, 20 added, 0 deleted).
% 0.18/0.48 ; Path-index has 35 nodes (35 at peak, 35 added, 0 deleted).
% 0.18/0.48 ; Trie-index has 20 entries (20 at peak, 20 added, 0 deleted).
% 0.18/0.48 ; Trie-index has 33 nodes (33 at peak, 33 added, 0 deleted).
% 0.18/0.48 ; Retrieved 8 generalization terms in 12 calls.
% 0.18/0.48 ; Retrieved 8 instance terms in 7 calls.
% 0.18/0.48 ; Retrieved 118 unifiable terms in 61 calls.
% 0.18/0.48 ;
% 0.18/0.48 ; The agenda of rows to process has 1 entry:
% 0.18/0.48 ; 1 with value 9
% 0.18/0.48 ; The agenda of rows to give has 2 entries:
% 0.18/0.48 ; 1 with value (4 9) 1 with value (4 16)
% 0.18/0.48 Evaluation took:
% 0.18/0.48 0.027 seconds of real time
% 0.18/0.48 0.02125 seconds of user run time
% 0.18/0.48 0.006036 seconds of system run time
% 0.18/0.48 0 calls to %EVAL
% 0.18/0.48 0 page faults and
% 0.18/0.48 1,825,488 bytes consed.
% 0.18/0.48 :PROOF-FOUND
% 0.18/0.48 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T04:54:38
% 0.18/0.48 :PROOF-FOUND
% 0.18/0.48 *
%------------------------------------------------------------------------------